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Sample records for perimeter mathematics-pedagogical-content knowledge-in-action

  1. Integrating pedagogical content knowledge and pedagogical/psychological knowledge in mathematics

    Science.gov (United States)

    Harr, Nora; Eichler, Andreas; Renkl, Alexander

    2014-01-01

    In teacher education at universities, general pedagogical and psychological principles are often treated separately from subject matter knowledge and therefore run the risk of not being applied in the teaching subject. In an experimental study (N = 60 mathematics student teachers) we investigated the effects of providing aspects of general pedagogical/psychological knowledge (PPK) and pedagogical content knowledge (PCK) in an integrated or separated way. In both conditions (“integrated” vs. “separated”), participants individually worked on computer-based learning environments addressing the same topic: use and handling of multiple external representations, a central issue in mathematics. We experimentally varied whether PPK aspects and PCK aspects were treated integrated or apart from one another. As expected, the integrated condition led to greater application of pedagogical/psychological aspects and an increase in applying both knowledge types simultaneously compared to the separated condition. Overall, our findings indicate beneficial effects of an integrated design in teacher education. PMID:25191300

  2. Adapting Technological Pedagogical Content Knowledge Framework to Teach Mathematics

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    Getenet, Seyum Tekeher

    2017-01-01

    The technological pedagogical content knowledge framework is increasingly in use by educational technology researcher as a generic description of the knowledge requirements for teachers using technology in all subjects. This study describes the development of a mathematics specific variety of the technological pedagogical content knowledge…

  3. Mathematics University Teachers' Perception of Pedagogical Content Knowledge (PCK)

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    Khakbaz, Azimehsadat

    2016-01-01

    Teaching mathematics in university levels is one of the most important fields of research in the area of mathematics education. Nevertheless, there is little information about teaching knowledge of mathematics university teachers. Pedagogical content knowledge (PCK) provides a suitable framework to study knowledge of teachers. The purpose of this…

  4. Examination of Mathematics Teachers' Pedagogical Content Knowledge of Probability

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    Danisman, Sahin; Tanisli, Dilek

    2017-01-01

    The aim of this study is to explore the probability-related pedagogical content knowledge (PCK) of secondary school mathematics teachers in terms of content knowledge, curriculum knowledge, student knowledge, and knowledge of teaching methods and strategies. Case study design, a qualitative research model, was used in the study, and the…

  5. Technological Pedagogical Content Knowledge of Prospective Mathematics Teacher in Three Dimensional Material Based on Sex Differences

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    Aqib, M. A.; Budiarto, M. T.; Wijayanti, P.

    2018-01-01

    The effectiveness of learning in this era can be seen from 3 factors such as: technology, content, and pedagogy that covered in Technological Pedagogical Content Knowledge (TPCK). This research was a qualitative research which aimed to describe each domain from TPCK include Content Knowledge, Pedagogical Knowledge, Pedagogical Content Knowledge, Technological Knowledge, Technological Content Knowledge, Technological Pedagogical Knowledge and Technological, Pedagogical, and Content Knowledge. The subjects of this research were male and female mathematics college students at least 5th semester who has almost the same ability for some course like innovative learning, innovative learning II, school mathematics I, school mathematics II, computer applications and instructional media. Research began by spreading the questionnaire of subject then continued with the assignment and interview. The obtained data was validated by time triangulation.This research has result that male and female prospective teacher was relatively same for Content Knowledge and Pedagogical Knowledge domain. While it was difference in the Technological Knowledge domain. The difference in this domain certainly has an impact on other domains that has technology components on it. Although it can be minimized by familiarizing the technology.

  6. Exploring Connections between Content Knowledge, Pedagogical Content Knowledge, and the Opportunities to Learn Mathematics: Findings from the TEDS-M Dataset

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    Murray, Eileen; Durkin, Kelley; Chao, Theodore; Star, Jon R.; Vig, Rozy

    2018-01-01

    Past work on mathematics teachers' content knowledge (CK) and pedagogical content knowledge (PCK) has resulted in mixed findings about the strength of the relationship between and development of these constructs. The current study uses data from the Teacher Education and Development Study in Mathematics (TEDS-M) to examine the relationship between…

  7. Technological pedagogical content knowledge and teaching practice of mathematics trainee teachers

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    Tajudin, Nor'ain Mohd.; Kadir, Noor Zarinawaty Abd.

    2014-07-01

    This study aims to identify the level of technological pedagogical content knowledge (TPCK) of mathematics trainee teachers at Universiti Pendidikan Sultan Idris (UPSI) and explore their teaching practices during practical training at school. The study was conducted in two phases using a mix-method research. In the first phase, a survey method using a questionnaire was carried out on 156 trainee teachers of Bachelor of Mathematics Education (AT14) and Bachelor of Science (Mathematics) with Education (AT48). The instrument used was a questionnaire that measures the level of content knowledge, pedagogy, technology and TPCK of mathematics. Data were analyzed using descriptive statistics, namely the mean. While in the second phase, the interview method involved four trainee teachers were performed. The instrument used was the semi-structured interview protocol to assess the trainee teacher's TPCK integration in their teaching practice. Data were analyzed using the content analysis. The findings showed that the level of knowledge of TPCK among trainee teachers was moderate with overall mean score of 3.60. This level did not show significant differences between the two programs with mean scores of 3.601 for the AT14 group and 3.603 for the AT48 group. However, there was a difference for gender classification such that the female trainees had mean score of 3.58 and male trainees with mean score of 3.72. Although students' TPCK level was moderate, the level of content knowledge (CK), technological knowledge (TK) and pedagogical knowledge (PK), showed a higher level with overall mean scores of 3.75, 3.87 and 3.84 respectively. The findings also showed that in terms of content knowledge, trainee teacher's learning mathematics background was good, but the knowledge of mathematics was limited in the curriculum, philosophy and application aspect. In terms of pedagogical content knowledge, all respondents tend to use lecture and discussion methods in teaching Trigonometry topic

  8. Pedagogical Content Knowledge: Teacher’s Knowledge of Students in Learning Mathematics on Limit of Function Subject

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    Ma'rufi; Ketut Budayasa, I.; Juniati, Dwi

    2018-01-01

    This research aims at describing the profile of high school teacher’s Pedagogical Content Knowledge in learning mathematics from the perspective of teaching experience. Pedagogical Content Knowledge (PCK) covers teacher’s knowledge of subject matter, knowledge of pedagogy, and knowledge of students. The subject of this research was two high school mathematics teachers who have different teaching experience. The data were obtained through interview and observation then analyzed qualitatively. The focus of this research is the novice teacher’s PCK deals with knowledge of students. Knowledge of Student is defined as teacher’s knowledge about the students’ conception and misconception on limit of function material and teacher’s ability to cope with students’ difficulty, mistake, and misconception. The result of this research shows that novice teacher’s ability in analyzing the cause of students’ difficulty, mistake, and misconception was limited. Novice teacher tended to overcome the students’ difficulty, mistake, and misconception by re-explaining the procedure of question completion which is not understood by the students.

  9. Teachers' Understanding of Mathematical Cognition in Childhood: Towards a Shift in Pedagogical Content Knowledge?

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    Henning, Elizabeth

    2013-01-01

    This article about the discourse of pedagogy as related to child cognition in mathematics addresses the issue of what constitutes the main disciplinary content and the pedagogical content knowledge (PCK) of foundation-phase teachers. I argue that, unless child cognition itself is the primary disciplinary content of foundation-phase teacher's…

  10. Strengthening the Conceptualization of Mathematics Pedagogical Content Knowledge for International Studies: A Taiwanese Perspective

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    Hsieh, Feng-Jui

    2013-01-01

    This paper discusses different conceptual frameworks for measuring mathematics pedagogical content knowledge (MPCK) in international comparison studies. Two large-scale international comparative studies, "Mathematics Teaching in the Twenty-First Century" (MT21; Schmidt et al., 2011) and the "Teacher Education and Development Study…

  11. Developing a model of pedagogical content knowledge for secondary and post-secondary mathematics instruction

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    Shandy Hauk

    2014-07-01

    Full Text Available The accepted framing of mathematics pedagogical content knowledge (PCK as part of mathematical knowledge for teaching has centered on the question: What mathematical reasoning, insight, understanding, and skills are required for a person to teach elementary mathematics? Many have worked to address this question in K-8 teaching. Yet, there remains a call for examples and theory in the context of teachers with greater mathematical preparation and older students with varied and complex experiences in learning mathematics. In this theory development report we offer background and examples for an extended model of PCK – as the interplay among conceptually-rich mathematical understandings, experience in and of teaching, and multiple culturally-mediated classroom interactions.

  12. Implementation of Pedagogical Content Knowledge (PCK) of Mathematics Teachers in Teaching Practice: A Case Study

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    Maryono; Sutawidjaja, Akbar; Subanji; Irawati, Santi

    2017-01-01

    This study aims to describe the implementation of pedagogical content knowledge (PCK) of mathematics teachers in the teaching practice of the material system of linear equations of two variables (SLETV). The approach used is a qualitative case study. The main instrument is the researchers themselves and the supporting instruments is a vignette…

  13. Relationship between mathematics teacher subject matter knowledge, pedagogical content knowledge and professional development needs

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    Tajudin, Nor'ain Mohd; Chinnappan, Mohan; Saad, Noor Shah

    2017-05-01

    Two key variables emerged from the literature review is that Specific Matter Knowledge [SMK] and Pedagogical Content Knowledge [PCK] can influence the mathematics teachers' Professional Development [PD] needs. However, the key variables of SMK and PCK that were being investigated were not defined clearly. Empirical evidence that support relationship between SMK and PD and PCK and PD were not verified. In addition, how does PCK mediate SMK and PD is not clear and somewhat lacking. Therefore, the purpose of this paper was to examine the relationship between primary mathematics teacher's SMK, PCK and PD needs. Results of path analysis with SmartPLS indicated that the direct effect of SMK on PD was mediated via PCK. This data provide support for the claim that PD programs for future teachers of primary mathematics should be driven by a more nuanced understanding of the link between SMK and PCK.

  14. Pedagogical content knowledge: Knowledge of pedagogy novice teachers in mathematics learning on limit algebraic function

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    Ma'rufi, Budayasa, I. Ketut; Juniati, Dwi

    2017-02-01

    Teacher is one of the key aspects of student's achievement. Teachers should master content material taught, how to teach it, and can interpret the students' thinking so that students easily understand the subject matter. This research was a qualitative research that aimed at describing profile of PCK's teachers in mathematics on limit algebraic functions in terms of the differences of teaching experience. Pedagogical Content Knowledge (PCK) and understanding of teachers is defined as involving the relationship between knowledge of teaching materials, how to transfer the subject matter, and the knowledge of students in mathematics on limit algebraic functions that the subject matter may be understood by students. The PCK components in this research were knowledge of subject matter, knowledge of pedagogy, and knowledge of students. Knowledge of pedagogy defines as knowledge and understanding of teachers about the planning and organization of the learning and teaching strategy of limit algebraic function. The subjects were two mathematics high school teachers who teach in class XI IPS. Data were collected through observation of learning during five meetings and interviews before and after the lesson continued with qualitative data analysis. Focus of this article was to describe novice teacher's knowledge of student in mathematics learning on limit algebraic function. Based on the results of the analysis of qualitative data the data concluded that novice teacher's knowledge of pedagogy in mathematics on limit algebraic function showed: 1) in teaching the definitions tend to identify prior knowledge of the student experience with the material to be studied, but not in the form of a problem, 2) in posing the questions tend to be monotonous non lead and dig, 3) in response to student questions preservice teachers do not take advantage of the characteristics or the potential of other students, 4) in addressing the problem of students, tend to use the drill approach and did

  15. Relationship between Pedagogical Strategies and Teachers' Content Knowledge of Mathematics

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    Kanyongo, Gibbs Y.; Brown, Launcelot I.

    2013-01-01

    This study employed regression analysis to investigate the relationship between primary school teachers' pedagogical practices and their knowledge of mathematics. The sample composed of 606 Grade 6 mathematics teachers in Namibia, i.e. 304 (50.2%) males and 302 (49.8%) females. The study utilized existing questionnaire data collected by the…

  16. Measuring and factors influencing mathematics teachers' technological pedagogical and content knowledge (TPACK) in three southernmost provinces, Thailand

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    Adulyasas, Lilla

    2017-08-01

    Technology becomes an important role in teaching and learning mathematics nowadays. Integrating technology in the classroom helps students have better understanding in many of mathematics concepts. One of the major framework for assessing the knowledge of integrating technology with the pedagogy and content in the classroom is Technological Pedagogical and Content Knowledge (TPACK) framework. This study aimed to measure mathematics teachers' TPACK in three southernmost provinces, Thailand and to study on factors influencing their TPACK. A quantitative study was carried out with 210 secondary level mathematics teachers in the three southernmost provinces, Thailand which were random by two stage sampling technique. Data were collected by using a questionnaire to identify the level of mathematics teachers' TPACK and the factors influencing their TPACK. Descriptive statistics, Pearson product moment correlation and multiple regression analysis were used for analysing data. Findings reveal that the mean score of mathematics teachers' TPACK is 3.33 which is in the medium level and the three factors which have positive correlation at .05 level of significant with the level of TPACK are teaching experience factor, individual specialization factor and personal & organization factor. However, there are only two factors influencing mathematics teachers' TPACK. The two factors are individual specialization factor and personal & organization factors. These give better understanding on mathematics teachers' knowledge in integrating technology with the pedagogy and content which will be the important information for improving mathematics teachers' TPACK.

  17. PEDAGOGICAL STRATEGIES AND CONTENT KNOWLEDGE IN 92 ENGLISH FOR MATHS LECTURE IN CONTENT-BASED INSTRUCTION TEACHING

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    Ayu Fitrianingsih

    2017-12-01

    Full Text Available This study was intended to find the pedagogical strategies applied by the teacher in the teaching learning process and to know teacher‘s content knowledge, how teacher need to understand the subject matter taught. This study was carried out in English for Math lecture of Mathematics education study program IKIP PGRI Bojonegoro which involved the teacher and the students as the respondent. This study is under qualitative case study. In collecting the data, questionnaire, observation and interview were conducted to get detail information of the issues. The result reveals: 1 the teacher combines some methods such as cooperative learning, problem-based learning and task-based learning to get the students enthusiasm; 2 based on teacher‘s educational background, although the teacher graduated from Bachelor Degree of Mathematics Education but she was able to combine English teaching through mathematics content very well. It can be concluded that Teacher‘s pedagogical strategy and content knowledge is very important in the application of content-based instruction teaching and learning.

  18. Developing Pre-Service Teachers' Technological Pedagogical Content Knowledge for Teaching Mathematics with the Geometer's Sketchpad through Lesson Study

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    Meng, Chew Cheng; Sam, Lim Chap

    2013-01-01

    The purpose of this study was to develop pre-service secondary teachers' technological pedagogical content knowledge (TPACK) for teaching mathematics with The Geometer's Sketchpad (GSP) through Lesson Study (LS). Specifically, a single-group pretest-posttest design was employed to examine whether there was a significant difference in the…

  19. Pedagogical Content Knowledge and Educational Cases in Computer Science: an Exploration

    NARCIS (Netherlands)

    Koppelman, Hermannus

    2008-01-01

    The concept of pedagogical content knowledge has been explored in the context of several disciplines, such as mathematics, medicine and chemistry. In this paper the concept is explored and applied to the subject matter of computer science, in particular to the sub domain of building UML class

  20. Technological pedagogical content knowledge in South African mathematics classrooms: A secondary analysis of SITES 2006 data

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    Verona Leendertz

    2013-12-01

    Full Text Available This article reports on a secondary data analysis conducted on the South African mathematics teachers’ dataset of the Second Information Technology in Education Study (SITES 2006. The sample consisted of a stratified sample of 640 mathematics teachers from 504 randomly selected computer-using and non–computer-using schools that completed the SITES 2006 teachers’ questionnaire, which investigated their pedagogical use of Information Communication Technology (ICT. The purpose of the current investigation was to investigate the level of Technological Pedagogical Content Knowledge (TPACK of mathematics teachers, and how TPACK attributes contribute towards more effective Grade 8 mathematics teaching in South African schools, using the TPACK conceptual framework. The findings are presented according to the three clusters identified through the association between the main variables of the TPACK model and other variables on the SITES 2006 teachers’ questionnaire: (1 impact of ICT use, (2 teacher practices and (3 barriers. A Cramér V of between 0.3 and 0.4 was considered to signal a medium effect that tended towards practically significant association, and a Cramér V of 0.4 or larger was considered to signal a large effect with practically significant association. The results indicate that the TPACK of mathematics teachers contributes towards more effective Grade 8 mathematics teaching in South African schools.

  1. The Language Used to Articulate Content as an Aspect of Pedagogical Content Knowledge

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    Chick, Helen

    2015-01-01

    Mathematical knowledge in classrooms is mediated through the use of both technical and informal language. This paper is a report of a study of the language use of teachers as they examine students' work and discuss teaching for the topic of fraction operations. This provides a window on their pedagogical content knowledge and also on the way in…

  2. Using Delphi Methodology to Design Assessments of Teachers' Pedagogical Content Knowledge

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    Manizade, Agida Gabil; Mason, Marguerite M.

    2011-01-01

    Descriptions of methodologies that can be used to create items for assessing teachers' "professionally situated" knowledge are lacking in mathematics education research literature. In this study, researchers described and used the Delphi method to design an instrument to measure teachers' pedagogical content knowledge. The instrument focused on a…

  3. Technological pedagogical content knowledge of prospective mathematics teachers regarding evaluation and assessment

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    Ercan Atasoy

    2016-04-01

    Full Text Available The ‘technology integrated assessment process’ is an innovative method to capture and determine students’ understanding of mathematics. This assessment process is claimed to provide a singular dynamism for teaching and learning activities and it is also claimed to be of the most important elements of instruction in the educational system. In this sense, this study aims to investigate technological pedagogical content knowledge (TPACK of prospective mathematics teachers regarding the ‘evaluation’ and ‘assessment’ process. To achieve this aim, the method of qualitative research was conducted with 20 teachers. Video records and lesson plans were collected and a Mathematics Teacher TPACK Development Model was utilized to reveal themes and key features of the data. The findings revealed that, although the majority of teachers stated that they would like to use technology-integrated tools in the assessment and evaluation processes, they strongly preferred to use traditional assessment and evaluation techniques, such as pen and paper activities, multiple-choice questions in virtual environments, etc. Hence, the evidence suggests that teachers would be unable to use appropriately the technological assessment process in order to reveal students’ understanding of mathematics. As seen from the teachers’ lectures, they perceived that technology would be suitable for evaluation and assessment but in a limited way.

  4. Pedagogical actions under pressure? Primary school teachers’ perceptions of their pedagogical actions

    NARCIS (Netherlands)

    Gemmink, Michelle; Fokkens-Bruinsma, Marjon; Pauw, Ietje; van Veen, Klaas

    2017-01-01

    In Dutch primary schools, pedagogical actions seem to receive much less attention than content knowledge. This is the consequence of several developments and innovations that aimed at enhancing pupils’ learning outcomes and at improving teachers’ content knowledge and didactic actions. This results

  5. Description of pedagogical content knowledge (PCK) and content knowledge on Muhammadiyah Semarang University's preservice teacher

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    Astuti, Andari Puji; Wijayatiningsih, Testiana Deni; Azis, Abdul; Sumarti, Sri Susilogati; Barati, Dwi Anggani Linggar

    2017-12-01

    One of the competencies of teachers to be mastered under the constitution is pedagogic competence. This study aims to provide an overview of the pedagogic competence of Preservice teachers through the mastery of Pedagogical Content Knowledge (PCK) and Content knowledge (CK). The research method used is descriptive qualitative, with data retrieval technique through essay tests, questionnaire and interview. The results showed that of the five PCK indicators, only knowledge of learning strategies to teach chemistry already in high category. For Content Knowledge of preservice teachers are in the middle category for indicators of knowledge of disciplinary content, whereas knowledge that alternative frameworks for thinking about the content exist and the knowledge of the relationship between big ideas and the supporting ideas in a content area is in the fair category.

  6. Developing technological pedagogical content knowledge in pre-service mathematics teachers through collaborative design

    NARCIS (Netherlands)

    Agyei, D.D.; Voogt, Joke

    2012-01-01

    Although many studies have shown the need to pay attention to teachers' preparation for the integration of technology in classroom practice, most teachers in Ghana have not had any preparation that develops their technological pedagogical content knowledge (TPCK).This paper presents a case study of

  7. Primary School Teachers' Interviews Regarding Pedagogical Content Knowledge (PCK) and General Pedagogical Knowledge (GPK)

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    Sothayapetch, Pavinee; Lavonen, Jari; Juuti, Kalle

    2013-01-01

    Pedagogical Content Knowledge (PCK) and General Pedagogical Knowledge (GPK) are fundamental types of knowledge for a teacher that he or she must use in order to plan, teach in the classroom, and assess students' learning outcomes. This paper investigates experienced primary school teachers' PCK and GPK while teaching science in Finland and in…

  8. ICT use in science and mathematics teacher education in Tanzan: Developing Technological Pedagogical Content Knowledge

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    Kafyulilo, A.; Fisser, P.; Pieters, J.; Voogt, J.

    2015-01-01

    Currently, teacher education colleges in Tanzania are being equipped with computers to prepare teachers who can integrate technology in teaching. Despite these efforts, teachers are not embracing the use of technology in their teaching. This study adopted Technological Pedagogical Content Knowledge

  9. ICT Use in Science and Mathematics Teacher Education in Tanzania: Developing Technological Pedagogical Content Knowledge

    NARCIS (Netherlands)

    Kafyulilo, Ayoub; Fisser, Petra; Pieters, Julius Marie; Voogt, Joke

    2015-01-01

    Currently, teacher education colleges in Tanzania are being equipped with computers to prepare teachers who can integrate technology in teaching. Despite these efforts, teachers are not embracing the use of technology in their teaching. This study adopted Technological Pedagogical Content Knowledge

  10. Design of capability measurement instruments pedagogic content knowledge (PCK) for prospective mathematics teachers

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    Aminah, N.; Wahyuni, I.

    2018-05-01

    The purpose of this study is to find out how the process of designing a tool of measurement Pedagogical Content Knowledge (PCK) capabilities, especially for prospective mathematics teachers are valid and practical. The design study of this measurement appliance uses modified Plomp development step, which consists of (1) initial assessment stage, (2) design stage at this stage, the researcher designs the measuring grille of PCK capability, (3) realization stage that is making measurement tool ability of PCK, (4) test phase, evaluation, and revision that is testing validation of measurement tools conducted by experts. Based on the results obtained that the design of PCK capability measurement tool is valid as indicated by the assessment of expert validator, and the design of PCK capability measurement tool, shown based on the assessment of teachers and lecturers as users of states strongly agree the design of PCK measurement tools can be used.

  11. Pedagogical Content Knowledge in Indonesian English Language Teaching

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    Faisal Faisal

    2015-12-01

    Full Text Available –This paper considers the pedagogical content knowledge (PCKthat Indonesian teachers require to implement the 2013 Curriculum and develop their junior high school learner’s written English effectively, as mandated by the Regulation Number 16/2007. Based on the commonalities of the PCK components in international and Indonesian teaching of English as a foreign language, the components of PCK comprise knowledge of learners, subject matter, general pedagogy, and curriculum. Following manifest-latent content analysis principles, this study identified that this regulation defines and derives the concept of PCK into what it calls teachers’ four competencies, namely pedagogical, professional, personal, and social competencies.

  12. Pre-Service Science Teachers in Xinjiang "Scientific Inquiry" - Pedagogical Content Knowledge Research

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    Li, Yufeng; Xiong, Jianwen

    2012-01-01

    Scientific inquiry is one of the science curriculum content, "Scientific inquiry" - Pedagogical Content Knowledge is the face of scientific inquiry and teachers - of course pedagogical content knowledge and scientific inquiry a teaching practice with more direct expertise. Pre-service teacher training phase of acquisition of knowledge is…

  13. Development of Pre-Service Chemistry Teachers' Technological Pedagogical Content Knowledge

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    Cetin-Dindar, Ayla; Boz, Yezdan; Sonmez, Demet Yildiran; Celep, Nilgun Demirci

    2018-01-01

    In this study, a mixed-method design was employed to investigate pre-service chemistry teachers' Technological Pedagogical Content Knowledge (TPACK) development. For effective technology integration in instruction, knowledge about technology is not enough; teachers should have different knowledge types which are content, pedagogical, and…

  14. Conceptualising GP teachers' knowledge: a pedagogical content knowledge perspective.

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    Cantillon, Peter; de Grave, Willem

    2012-05-01

    Most teacher development initiatives focus on enhancing knowledge of teaching (pedagogy), whilst largely ignoring other important features of teacher knowledge such as subject matter knowledge and awareness of the learning context. Furthermore, teachers' ability to learn from faculty development interventions is limited by their existing (often implicit) pedagogical knowledge and beliefs. Pedagogical content knowledge (PCK) represents a model of teacher knowledge incorporating what they know about subject matter, pedagogy and context. PCK can be used to explore teachers' prior knowledge and to structure faculty development programmes so that they take account of a broader range of teachers' knowledge. We set out to examine the application of a PCK model in a general practice education setting. This study is part of a larger study that employed a mixed method approach (concept mapping, phenomenological interviews and video-stimulated recall) to explore features of GP teachers' subject matter knowledge, pedagogical knowledge and knowledge of the learning environment in the context of a general practice tutorial. This paper presents data on GP teachers' pedagogical and context knowledge. There was considerable overlap between different GP teachers' knowledge and beliefs about learners and the clinical learning environment (i.e. knowledge of context). The teachers' beliefs about learners were largely based on assumptions derived from their own student experiences. There were stark differences, however, between teachers in terms of pedagogical knowledge, particularly in terms of their teaching orientations (i.e. transmission or facilitation orientation) and this was manifest in their teaching behaviours. PCK represents a useful model for conceptualising clinical teacher prior knowledge in three domains, namely subject matter, learning context and pedagogy. It can and should be used as a simple guiding framework by faculty developers to inform the design and delivery of

  15. Development of Pre-Service Physics Teachers' Pedagogical Content Knowledge (PCK) throughout Their Initial Training

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    Karal, Isik Saliha; Alev, Nedim

    2016-01-01

    The purpose of this study was to investigate the development of pre-service physics teachers' pedagogical content knowledge (PCK) on the subject of electricity and magnetism after their completion of physics and mathematics courses. A descriptive longitudinal development research was carried out with 13 pre-service teachers (PTs) who completed…

  16. Pre-service teachers' content knowledge and pedagogical content ...

    African Journals Online (AJOL)

    This study investigated pre-service teachers' content and pedagogical knowledge in teaching geometric transformation. Eighty-two pre-service teachers from two Colleges of Education in the Ashanti region of Ghana consisted the sample size. The study was a quantitative study which employed survey as a strategy of ...

  17. Pedagogical Content Knowledge and Preparation of High School Physics Teachers

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    Etkina, Eugenia

    2010-01-01

    This paper contains a scholarly description of pedagogical practices of the Rutgers Physics/Physical Science Teacher Preparation program. The program focuses on three aspects of teacher preparation: knowledge of physics, knowledge of pedagogy, and knowledge of how to teach physics (pedagogical content knowledge--PCK). The program has been in place…

  18. The Relationship Between Teachers' Mathematical Content and Pedagogical Knowledge, Teachers' Perceptions, and Student Achievement

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    Campbell, Patricia F.; Nishio, Masako; Smith, Toni M.; Clark, Lawrence M.; Conant, Darcy L.; Rust, Amber H.; DePiper, Jill Neumayer; Frank, Toya Jones; Griffin, Matthew J.; Choi, Youyoung

    2014-01-01

    This study of early-career teachers identified a significant relationship between upper-elementary teachers' mathematical content knowledge and their students' mathematics achievement, after controlling for student- and teacher-level characteristics. Findings provide evidence of the relevance of teacher knowledge and perceptions for teacher…

  19. Application of the technological, pedagogical, and content ...

    African Journals Online (AJOL)

    Application of the technological, pedagogical, and content knowledge framework in a positivist study on the use of ICT in pedagogy by teachers of mathematical disciplines at Makerere University: a conceptual paper.

  20. Secondary Teachers’ Mathematics-related Beliefs and Knowledge about Mathematical Problem-solving

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    E Siswono, T. Y.; Kohar, A. W.; Hartono, S.

    2017-02-01

    This study investigates secondary teachers’ belief about the three mathematics-related beliefs, i.e. nature of mathematics, teaching mathematics, learning mathematics, and knowledge about mathematical problem solving. Data were gathered through a set of task-based semi-structured interviews of three selected teachers with different philosophical views of teaching mathematics, i.e. instrumental, platonist, and problem solving. Those teachers were selected from an interview using a belief-related task from purposively selected teachers in Surabaya and Sidoarjo. While the interviews about knowledge examine teachers’ problem solving content and pedagogical knowledge, the interviews about beliefs examine their views on several cases extracted from each of such mathematics-related beliefs. Analysis included the categorization and comparison on each of beliefs and knowledge as well as their interaction. Results indicate that all the teachers did not show a high consistency in responding views of their mathematics-related beliefs, while they showed weaknesses primarily on problem solving content knowledge. Findings also point out that teachers’ beliefs have a strong relationship with teachers’ knowledge about problem solving. In particular, the instrumental teacher’s beliefs were consistent with his insufficient knowledge about problem-solving, while both platonist and problem-solving teacher’s beliefs were consistent with their sufficient knowledge of either content or pedagogical problem solving.

  1. Correlation between Teacher's PCK (Pedagogical Content Knowledge) and Student's Motivation in Primary School

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    Maryani, Ika; Martaningsih, Sri Tutur

    2015-01-01

    Various learning problems occur due to the teachers' inability in managing the learning process. Teacher's learning skill is influenced by their understanding in the curriculum components which are including pedagogical knowledge and content knowledge. The aims of this research were to determine: 1) the condition of Pedagogical Content Knowledge…

  2. Pedagogical Content Knowledge and Industrial Design Education

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    Phillips, Kenneth R.; De Miranda, Michael A.; Shin, Jinseup

    2009-01-01

    Pedagogical content knowledge (PCK) has been embraced by many of the recent educational reform documents as a way of describing the knowledge possessed by expert teachers. These reform documents have also served as guides for educators to develop models of teacher development. However, in the United States, few if any of the current models…

  3. Generating pedagogical content knowledge in teacher education students

    NARCIS (Netherlands)

    van den Berg, Ed

    2015-01-01

    Some pre-service teaching activities can contribute much to the learning of pedagogical content knowledge (PCK) and subsequent teaching as these activities are generating PCK within the pre-service teacher's own classroom. Three examples are described: preparing exhibitions of science experiments,

  4. Developing Technological Pedagogical Content Knowledge (TPACK) in Animal Physiology

    Science.gov (United States)

    Pusparini, F.; Riandi, R.; Sriyati, S.

    2017-09-01

    The purpose of this study is to describe preservice teacher’s learning during lecturing Animal Physiology and investigate it’s impact on preservice teacher’s technological pedagogical content knowledge (TPACK). How was the lecturing process can improve TPACK of preservice teacher on Biology education espescially in Animal Physiology. There are four experiment classes using Solomon four group design, there are pedagogic treatment, content treatment and technological treatment, the last class without any treatment. Both quantitative and qualitative data were collected. Quantitative data were collected through a questionaire of TPACK. Qualitative data were collected through a lesson plan and teaching simulation. Findings has revealed that participants experienced significant gains in all TPACK constructs. Both of pedagogic and technology treatment is better than others, but pedagogical treatment didn’t also increase PCK most of participants. Findings has implications for teacher education programs to be a professional teachers and for researchers interested.

  5. Can Pedagogical Concerns Eclipse Mathematical Knowledge?

    Science.gov (United States)

    Creager, Mark A.; Jacobson, Erik; Aydeniz, Fetiye

    2016-01-01

    Mathematical knowledge for teaching (MKT) is often thought of as a transformed, mutually-influencing mixture of content and pedagogy. However when individuals' MKT does not integrate content and pedagogy, one type of knowledge can supersede the other, sometimes unconsciously. We exemplify this with Emma, a prospective elementary teacher, whose…

  6. Integrated learning: Ways of fostering the applicability of teachers’ pedagogical and psychological knowledge

    Directory of Open Access Journals (Sweden)

    Nora eHarr

    2015-06-01

    Full Text Available In teacher education, general pedagogical and psychological knowledge is often taught separately from the teaching subject itself, potentially leading to inert knowledge. In an experimental study with 69 mathematics student teachers, we tested the benefits of fostering the integration of pedagogical content knowledge and general pedagogical and psychological knowledge with respect to knowledge application. Integration was fostered either by integrating the contents or by prompting the learners to integrate separately-taught knowledge. Fostering integration, as compared to a separate presentation without integration help, led to more applicable pedagogical and psychological knowledge and greater simultaneous application of pedagogical and psychological knowledge and pedagogical content knowledge. The advantages of fostering knowledge integration were not moderated by the student teachers’ prior knowledge or working memory capacity. A disadvantage of integrating different knowledge types referred to increased learning times.

  7. Technological Pedagogical Content Knowledge -- A Review of the Literature

    Science.gov (United States)

    Voogt, J.; Fisser, P.; Roblin, N. Pareja; Tondeur, J.; van Braak, J.

    2013-01-01

    Technological Pedagogical Content Knowledge (TPACK) has been introduced as a conceptual framework for the knowledge base teachers need to effectively teach with technology. The framework stems from the notion that technology integration in a specific educational context benefits from a careful alignment of content, pedagogy and the potential of…

  8. Teaching Reaction Stoichiometry: Exploring and Acknowledging Nigerian Chemistry Teachers Pedagogical Content Knowledge

    Directory of Open Access Journals (Sweden)

    Ayoade Ejiwale Okanlawon

    2010-06-01

    Full Text Available Although there is a growing interest in studies of students’ problem-solving strategies and difficulties, and misconceptionsregarding stoichiometry, little is known about the way teachers understand and teach reaction stoichiometry. This articlepresents a case study of pedagogical content knowledge put into actions by chemistry teachers when teaching the topic ofstoichiometry to second year senior secondary school students. Fourteen chemistry teachers with teaching experience rangingfrom 5 to 20 years were involved in this study. Research data were obtained from classroom observations and videotapedrecordings of classroom practice. Analyses of the teachers’ teaching activities revealed their skillfulness, resourcefulness, andweaknesses in terms of pedagogical content knowledge displayed when teaching stoichiometry. The results of this exploratorystudy offer insight into the knowledge systems that need to be expanded, enriched, and elaborated for teaching stoichiometry.To better understand the findings of this study, the results obtained were presented under two separate sections: (1 resultsconcerning introducing reaction stoichiometry to students and (2 results concerning leading students to identify limitingreagents. Implications for instruction and teachers’ professional development are offered.

  9. Influence of Content Knowledge on Pedagogical Content Knowledge: The Case of Teaching Photosynthesis and Plant Growth

    Science.gov (United States)

    Kapyla, Markku; Heikkinen, Jussi-Pekka; Asunta, Tuula

    2009-01-01

    The aim of the research was to investigate the effect of the amount and quality of content knowledge on pedagogical content knowledge (PCK). The biological content photosynthesis and plant growth was used as an example. The research sample consisted of 10 primary and 10 secondary (biology) teacher students. Questionnaires, lesson preparation task…

  10. Teaching programming in secundary school: a pedagogical content knowledge perspective

    NARCIS (Netherlands)

    Saeli, M.; Perrenet, J.C.; Jochems, W.M.G.; Zwaneveld, B.

    2011-01-01

    The goal of this literature study is to give some preliminary answers to the questions that aim to uncover the Pedagogical Content Knowledge (PCK) of Informatics Education, with focus on Programming. PCK has been defined as the knowledge that allows teachers to transform their knowledge of the

  11. Programming : teachers and pedagogical content knowledge in the Netherlands

    NARCIS (Netherlands)

    Saeli, M.; Perrenet, J.C.; Jochems, W.M.G.; Zwaneveld, B.

    2012-01-01

    In this article we report about a study to assess Dutch teachers’ Pedagogical Content Knowledge (PCK), with special focus on programming as a topic in secondary school Informatics education. For this research, we developed an online research instrument: the Online Teacher PCK Analyser (OTPA). The

  12. Technological Pedagogical Content Knowledge - a review of the literature

    NARCIS (Netherlands)

    Voogt, Joke; Fisser, Petra; Pareja Roblin, N.N.; Tondeur, J.; van Braak, J.

    2013-01-01

    Technological Pedagogical Content Knowledge (TPACK) has been introduced as a conceptual framework for the knowledge base teachers need to effectively teach with technology. The framework stems from the notion that technology integration in a specific educational context benefits from a careful

  13. Exploring Mathematics Teachers' Pedagogical Content Knowledge in the Context of Knowledge of Students

    Science.gov (United States)

    Aksu, Zeki; Kul, Ümit

    2016-01-01

    Functions are one of the basic topics taught in mathematics curriculum at Secondary school level requiring knowledge from the students' past, and uniting mathematical topics. Mathematics teachers have both their own learning experience of functions, as well as their own teaching experience, leading to the question of what level of student…

  14. Pedagogical Content Knowledge of Experienced Teachers in Physical Education: Functional Analysis of Adaptations

    Science.gov (United States)

    Ayvazo, Shiri; Ward, Phillip

    2011-01-01

    Pedagogical content knowledge (PCK) is the teacher's ability to pedagogically adapt content to students of diverse abilities. In this study, we investigated how teachers' adaptations of instruction for individual students differed when teaching stronger and weaker instructional units. We used functional analysis (Hanley, Iwata, & McCord, 2003) of…

  15. Proposal of a pedagogical model for mathematics teacher education

    Directory of Open Access Journals (Sweden)

    Alfonso Jiménez Espinosa

    2011-01-01

    Full Text Available This research-based article reflects on mathematics teacher education, and proposes a pedagogical model for this purpose, called Gradual Research Pedagogical Model (MPGI. This model considers the central curricular elements of any academic education process: student, teacher and contents, with evaluation as transversal element for analysis and feedback. The training of future teachers is constituted by three moments, each with its specific emphasis: the first is “contextualization”, which aims at having the student understand his or her new academic role, and identify and overcome his or her academic weak points, the second is “knowledge foundation”, which offers basic education in the fields of mathematics and pedagogy, as well as sensibilization towards social issues, opening up the student’s possibilities as leader and agent of change, and lastly, “knowledge immersion”, which is centered on research and the identification and study of topics and problems of the mathematical discipline as well as the pedagogical field.

  16. Pedagogical content knowledge and preparation of high school physics teachers

    OpenAIRE

    Eugenia Etkina

    2010-01-01

    This paper contains a scholarly description of pedagogical practices of the Rutgers Physics/Physical Science Teacher Preparation program. The program focuses on three aspects of teacher preparation: knowledge of physics, knowledge of pedagogy, and knowledge of how to teach physics (pedagogical content knowledge—PCK). The program has been in place for 7 years and has a steady production rate of an average of six teachers per year who remain in the profession. The main purpose of the paper is t...

  17. AN INVESTIGATION OF TEACHERS’ PEDAGOGICAL SKILLS AND CONTENT KNOWLEDGE IN A CONTENT-BASED INSTRUCTION CONTEXT

    Directory of Open Access Journals (Sweden)

    Tengku Nor Rizan Tengku Mohamad Maasum

    2012-01-01

    Full Text Available Advocates of the content-based approach believed that a language can be learnt effectively when it is the medium of instruction rather than just a subject. Integrating English and content as part of instruction has become one of the cornerstones of second language pedagogy. Researchers claimed that there are many benefits of integrating English and content instruction. Among the benefits are the increase in students’ interest with content themes, meaningful input and understanding. In 2003, the Malaysian Ministry of Education introduced the teaching and learning of science and mathematics in English for Year One, Form One and Lower Six Form in all government public schools. This paper describes the challenges faced by teachers when they are required to teach content subjects such as science and mathematics in English. The focus of the paper is on the teachers’ pedagogical skills and content knowldge which comprises subject matter content, pedagogical approach, classroom management, use of resources, assessment, preparation of teaching materials, managing students, teachers’ compensatory communication strategies, use of first language and teachers’ perspectives of teaching content subjects in English. Data were obtained from a self-report questionnaire administered to 495 secondary school teachers in West Malaysia. Results from the study provide implications for school administrators in making decisions in assignment of capable teachers to teach the various levels of classes. Suggestions for teacher self-development and life-long learning efforts are also provided.

  18. A Comparison of Experienced and Preservice Elementary School Teachers' Content Knowledge and Pedagogical Content Knowledge about Electric Circuits

    Science.gov (United States)

    Lin, Jing-Wen

    2017-01-01

    This study investigated the differences between Taiwanese experienced and preservice elementary school science teachers' content knowledge (CK) about electric circuits and their ability to predict students' preconceptions about electric circuits as an indicator of their pedagogical content knowledge (PCK). An innovative web-based recruitment and…

  19. A Case Study on the Impact of Teacher Mathematical Knowledge on Pedagogical Practices

    Science.gov (United States)

    Hughes, Sally

    2016-01-01

    This study explores the implications for mathematical knowledge and pedagogical practices of primary teachers in Papua New Guinea making a shift from a transmission approach to a connectionist approach to teaching mathematics. The research participants were engaged in a professional development program designed to support the teaching and learning…

  20. Tell Me Why! Content Knowledge Predicts Process-Orientation of Math Researchers' and Math Teachers' Explanations

    Science.gov (United States)

    Lachner, Andreas; Nückles, Matthias

    2016-01-01

    In two studies, we investigated the impact of instructors' different knowledge bases on the quality of their instructional explanations. In Study 1, we asked 20 mathematics teachers (with high pedagogical content knowledge, but lower content knowledge) and 15 mathematicians (with lower pedagogical content knowledge, but high content knowledge) to…

  1. AN INVESTIGATION OF TEACHERS’ PEDAGOGICAL SKILLS AND CONTENT KNOWLEDGE IN A CONTENT-BASED INSTRUCTION CONTEXT

    Directory of Open Access Journals (Sweden)

    Tengku Nor Rizan Tengku Mohamad Maasum

    2012-01-01

    Full Text Available Abstract: Advocates of the content-based approach believed that a language can be learnt effectively when it is the medium of instruction rather than just a subject.  Integrating English and content as part of instruction has become one of the cornerstones of second language pedagogy. Researchers claimed that there are many benefits of integrating English and content instruction.  Among the benefits are the increase in students’ interest with content themes, meaningful input and understanding. In 2003, the Malaysian Ministry of Education introduced the teaching and learning of science and mathematics in English for Year One, Form One and Lower Six Form in all government public schools. This paper describes the challenges faced by teachers when they are required to teach content subjects such as science and mathematics in English.  The focus of the paper is on the teachers’ pedagogical skills  and content knowldge which comprises subject matter content, pedagogical approach, classroom management, use of resources, assessment, preparation of teaching materials, managing students, teachers’ compensatory communication strategies, use of first language and teachers’ perspectives of teaching content subjects in English. Data were obtained from a self-report questionnaire administered to 495 secondary school teachers in West Malaysia. Results from the study provide implications for school administrators in making decisions in assignment of  capable teachers to teach the various levels of classes. Suggestions for teacher self-development and life-long learning efforts are also provided.   Key words: Content-based instruction, ESL instruction, second language, first language and second language pedagogy

  2. The Effect of Teacher Pedagogical Content Knowledge and the Instruction of Middle School Geometry

    Science.gov (United States)

    Lenhart, Sara Talley

    2010-01-01

    This study investigated the relationship between middle school math teacher pedagogical content knowledge as gathered from a teacher assessment and student Standards of Learning scores. Nine middle-school math teachers at two rural schools were assessed for their pedagogical content knowledge in geometry and measurement in the specific area of…

  3. A Review of Gamification in Technological Pedagogical Content Knowledge

    Science.gov (United States)

    Prabawa, H. W.

    2017-02-01

    This paper review 10 papers that relating to gamification adoption in developing technological pedagogical content knowledge (TPACK) framework. Technological developments lately led to the trend of increased use of ICT in the learning process, one of which is gamification. Gamification is the concept of applying game mechanics and game design techniques to engage and motivate people to achieve their goals. Gamification in education as an intersection of learning and fun. The problem is that not all game’s attributes suitable for use in presents a teaching material. TPACK is a framework for the teacher that described a complex interaction among three bodies of knowledge : content, pedagogy and technology. TPACK engagement has an impact on the teacher mastery in dimension of teaching material content, in addition to improve teachers skill in developing technology in classroom learning.

  4. Preservice Secondary Mathematics Teachers’ Knowledge of Students

    OpenAIRE

    Kılıç, Hülya

    2011-01-01

    The aim of this paper is to present the nature of preservice secondary mathematics teachers’ knowledge of students as emerged from a study investigating the development of their pedagogical content knowledge in a methods course and its associated field experience. Six preservice teachers participated in the study and the data were collected in the forms of observations, interviews and written documents. Knowledge of students is defined as teachers’ knowledge of what mathematical concepts are ...

  5. Effects on the Technological Pedagogical Content Knowledge of Early Childhood Teacher Candidates Using Digital Storytelling to Teach Mathematics

    Science.gov (United States)

    Kildan, Abdullah Oguzhan; Incikabi, Lutfi

    2015-01-01

    This study aimed to present early childhood teacher candidates' experiences preparing digital stories and to reveal the resulting changes, if any, in self-reported technological pedagogical content knowledge (TPACK). This study was quasi-experimental and indicated that teacher candidates' evaluations of digital storytelling were affected by their…

  6. Analysis of Relationships between Technological Pedagogical Content Knowledge and Educational Internet Use

    Science.gov (United States)

    Sahin, Ismail; Celik, Ismail; Akturk, Ahmet Oguz; Aydin, Mustafa

    2013-01-01

    This study analyzes the relationships between preservice teachers' technological pedagogical content knowledge (TPACK) and their self-efficacy beliefs in educational Internet use. Findings show statistically significant relationships among the knowledge domains in technology, pedagogy, content, and their intersections. Also, results from the…

  7. Teachers' Pedagogical Mathematical Awareness in Swedish Early Childhood Education

    Science.gov (United States)

    Björklund, Camilla; Barendregt, Wolmet

    2016-01-01

    Revised guidelines for Swedish early childhood education that emphasize mathematics content and competencies in more detail than before raise the question of the status of pedagogical mathematical awareness among Swedish early childhood teachers. The purpose of this study is to give an overview of teachers' current pedagogical mathematical…

  8. Constructing a multiple choice test to measure elementary school teachers' Pedagogical Content Knowledge of technology education.

    NARCIS (Netherlands)

    Rohaan, E.J.; Taconis, R.; Jochems, W.M.G.

    2009-01-01

    This paper describes the construction and validation of a multiple choice test to measure elementary school teachers' Pedagogical Content Knowledge of technology education. Pedagogical Content Knowledge is generally accepted to be a crucial domain of teacher knowledge and is, therefore, an important

  9. Comparing Primary Student Teachers' Attitudes, Subject Knowledge and Pedagogical Content Knowledge Needs in a Physics Activity

    Science.gov (United States)

    Johnston, Jane; Ahtee, Maija

    2006-01-01

    This research explores and compares primary student teachers' attitudes, subject knowledge and pedagogical content knowledge (PCK) in physics in two institutions in England and Finland, using a practical physics activity and questionnaire. Teaching of physics activities was rated unpopular both in Finland and England, although English students…

  10. Does Teachers' Pedagogical Content Knowledge Affect Their Fluency Instruction?

    Science.gov (United States)

    Van den Hurk, H. T. G.; Houtveen, A. A. M.; Van de Grift, W. J. C. M.

    2017-01-01

    The relation is studied between teachers' pedagogical content knowledge of reading and the quality of their subsequent classroom behaviour in teaching fluent reading. A confirmatory factor analysis model with two latent variables is tested and shows adequate goodness-of-fit indices. Contrary to our expectations, the results of structural equation…

  11. Historical behavior of the teaching process learning of the basic mathematical contents in the initial formation of the Mathematics teacher

    Directory of Open Access Journals (Sweden)

    Yamila Medina-Sánchez

    2017-04-01

    Full Text Available The pedagogical universities in their different denominations, whether as Pedagogical Higher Institutes, Pedagogical Sciences Universities or Eastern University, have had in their center, the training of the teacher in their different specialties. The Mathematics teacher has been the result of training models and curricula in correspondence with the historical moment to which they have responded, all with the purpose of preparing them to impart the mathematical content in the educations that constitute action scenarios. The objective of this paper is to analyze the historical behavior of the learning process of the basic mathematical contents in the training process, because it is understood as the fundamental basis for achieving the objectives. For its development were taken into account the logical historical method, the interview, the survey and the documentary analysis.

  12. Understanding the Influence of Two Mathematics Textbooks on Prospective Secondary Teachers' Knowledge

    Science.gov (United States)

    Davis, Jon D.

    2009-01-01

    This study examines the influence of reading and planning from two differently organized mathematics textbooks on prospective high school mathematics teachers' pedagogical content knowledge and content knowledge of exponential functions. The teachers completed a pretest and two posttests. On the pretest, the teachers possessed an incomplete…

  13. Technological Pedagogical Content Knowledge (TPACK): The Development and Validation of an Assessment Instrument for Preservice Teachers

    Science.gov (United States)

    Schmidt, Denise A.; Baran, Evrim; Thompson, Ann D.; Mishra, Punya; Koehler, Matthew J.; Shin, Tae S.

    2009-01-01

    Based in Shulman's idea of Pedagogical Content Knowledge, Technological Pedagogical Content Knowledge (TPACK) has emerged as a useful frame for describing and understanding the goals for technology use in preservice teacher education. This paper addresses the need for a survey instrument designed to assess TPACK for preservice teachers. The paper…

  14. Exploring science teachers' pedagogical content knowledge in the teaching of genetics in Swaziland

    Science.gov (United States)

    Mthethwa-Kunene, Khetsiwe Eunice Faith

    Recent trends show that learners' enrolment and performance in science at secondary school level is dwindling. Some science topics including genetics in biology are said to be difficult for learners to learn and thus they perform poorly in examinations. Teacher knowledge base, particularly topic-specific pedagogical content knowledge (PCK), has been identified by many researchers as an important factor that is linked with learner understanding and achievement in science. This qualitative study was an attempt to explore the PCK of four successful biology teachers and how they developed it in the context of teaching genetics. The purposive sampling technique was employed to select the participating teachers based on their schools' performance in biology public examinations and recommendations by science specialists and school principals. Pedagogical content knowledge was used as a theoretical framework for the study, which guided the inquiry in data collection, analysis and discussion of the research findings. The study adopted the case study method and various sources of evidence including concept maps, lesson plans, pre-lesson interviews, lesson observations, post-teaching teacher questionnaire, post-lesson interviews and document analysis were used to collect data on teachers' PCK as well as how PCK was assumed to have developed. The data were analysed in an attempt to determine the individual teachers' school genetics' content knowledge, related knowledge of instructional strategies and knowledge of learners' preconceptions and learning difficulties. The analysis involved an iterative process of coding data into PCK categories of content knowledge, pedagogical knowledge and knowledge of learners' preconceptions and learning difficulties. The findings of the study indicate that the four successful biology teachers generally have the necessary content knowledge of school genetics, used certain topic-specific instructional strategies, but lacked knowledge of

  15. Use of the Rasch Measurement Model to Explore the Relationship between Content Knowledge and Topic-Specific Pedagogical Content Knowledge for Organic Chemistry

    Science.gov (United States)

    Davidowitz, Bette; Potgieter, Marietjie

    2016-01-01

    Research has shown that a high level of content knowledge (CK) is necessary but not sufficient to develop the special knowledge base of expert teachers known as pedagogical content knowledge (PCK). This study contributes towards research to quantify the relationship between CK and PCK in science. In order to determine the proportion of the…

  16. TEDS-M 2008 User Guide for the International Database. Supplement 4: TEDS-M Released Mathematics and Mathematics Pedagogy Knowledge Assessment Items

    Science.gov (United States)

    Brese, Falk, Ed.

    2012-01-01

    The goal for selecting the released set of test items was to have approximately 25% of each of the full item sets for mathematics content knowledge (MCK) and mathematics pedagogical content knowledge (MPCK) that would represent the full range of difficulty, content, and item format used in the TEDS-M study. The initial step in the selection was to…

  17. Transforming the Subject Matter: Examining the Intellectual Roots of Pedagogical Content Knowledge

    Science.gov (United States)

    Deng, Zongyi

    2007-01-01

    This article questions the basic assumptions of pedagogical content knowledge by analyzing the ideas of Jerome Bruner, Joseph Schwab, and John Dewey concerning transforming the subject matter. It argues that transforming the subject matter is not only a pedagogical but also a complex curricular task in terms of developing a school subject or a…

  18. Pre-Service Teachers' Perceptions and Beliefs of Technological Pedagogical Content Knowledge on Algebra

    Science.gov (United States)

    Lin, Cheng-Yao; Kuo, Yu-Chun; Ko, Yi-Yin

    2015-01-01

    The purpose of this study was to investigate elementary pre-service teachers' content knowledge in algebra (Linear Equation, Quadratic Equation, Functions, System Equations and Polynomials) as well as their technological pedagogical content knowledge (TPACK) in teaching algebra. Participants were 79 undergraduate pre-service teachers who were…

  19. Making Learning Visible: Developing Preservice Teachers' Pedagogical Content Knowledge and Teaching Efficacy Beliefs in Environmental Education

    Science.gov (United States)

    Richardson, Greer M.; Byrne, Laurel L.; Liang, Ling L.

    2018-01-01

    Recognizing that teaching efficacy beliefs influence pedagogical content knowledge, this study assesses the impact of a general methods course on preservice teachers' efficacy beliefs and instructional planning of environmental education content. The course used explicit and visible strategies to support pedagogical and content knowledge…

  20. Preservice Secondary Mathematics Teachers' Knowledge of Students

    Science.gov (United States)

    Kilic, Hulya

    2011-01-01

    The aim of this paper is to present the nature of preservice secondary mathematics teachers' knowledge of students as emerged from a study investigating the development of their pedagogical content knowledge in a methods course and its associated field experience. Six preservice teachers participated in the study and the data were collected in the…

  1. Exploring Preschool Teachers' Technological Pedagogical Content Knowledge of Educational Games

    Science.gov (United States)

    Hsu, Chung-Yuan; Liang, Jyh-Chong; Chai, Ching-Sing; Tsai, Chin-Chung

    2013-01-01

    Current technological pedagogical content knowledge (TPACK) studies are inclined to treat technology in a general manner, an approach which may not be able to provide adequate guidelines to improve teacher preparation and professional development when teaching with games. This study developed two new questionnaires, namely the Technological…

  2. Initial Characterization of Colombian High School Physics Teachers' Pedagogical Content Knowledge on Electric Fields

    Science.gov (United States)

    Melo-Niño, Lina Viviana; Cañada, Florentina; Mellado, Vicente

    2017-02-01

    We explore the initial characterization of the pedagogical content knowledge of four, in-service, Colombian pre-university secondary education physics teachers on the concept of electric field. Two of them teach the content in English as a second language. The aim of the study was to obtain an image of the participants' teaching of electric field and the inherent complexities that go with that. The results revealed that factors which involved their personal educational models, such as, how they interpret their school's curriculum, the relationship they see between physics and mathematics, the most effective strategies for teaching physics, and the time they have available to develop the topic played a significant role. The teachers considered it essential to establish new strategies that would motivate the pupils by helping them visualize the electric field.

  3. Surveying In-Service Teachers' Beliefs about Game-Based Learning and Perceptions of Technological Pedagogical and Content Knowledge of Games

    Science.gov (United States)

    Hsu, Chung-Yuan; Tsai, Meng-Jung; Chang, Yu-Hsuan; Liang, Jyh-Chong

    2017-01-01

    Using the Game-based-learning Teaching Belief Scale (GTBS) and the Technological Pedagogical Content Knowledge--Games questionnaire (TPACK-G), this study investigated 316 Taiwanese in-service teachers' teaching beliefs about game-based learning and their perceptions of game-based pedagogical content knowledge (GPCK). Both t-tests and ANOVA…

  4. Interaction between Science Teaching Orientation and Pedagogical Content Knowledge Components

    Science.gov (United States)

    Demirdögen, Betül

    2016-01-01

    The purpose of this case study is to delve into the complexities of how preservice science teachers' science teaching orientations, viewed as an interrelated set of beliefs, interact with the other components of pedagogical content knowledge (PCK). Eight preservice science teachers participated in the study. Qualitative data were collected in the…

  5. Do Subject Matter Knowledge, and Pedagogical Content Knowledge Constitute the Ideal Gas Law of Science Teaching?

    Science.gov (United States)

    Lederman, Norman G.; Gess-Newsome, Julie

    1992-01-01

    Describes Pedagogical Content Knowledge and focuses on the empirical research directly concerned with the relationship between science teachers' subject matter knowledge or structures and actual classroom practice. Concludes there is little evidence that a relationship exists. (PR)

  6. International Comparisons of Foundation Phase Number Domain Mathematics Knowledge and Practice Standards

    Science.gov (United States)

    Human, Anja; van der Walt, Marthie; Posthuma, Barbara

    2015-01-01

    Poor mathematics performance in schools is both a national and an international concern. Teachers ought to be equipped with relevant subject matter knowledge and pedagogical content knowledge as one way to address this problem. However, no mathematics knowledge and practice standards have as yet been defined for the preparation of Foundation Phase…

  7. Analysis of pedagogical content knowledge (PCK) ability of science teachers in planning and reflecting on environmental pollution content

    Science.gov (United States)

    Purwianingsih, W.; Mardiyah, A.

    2018-05-01

    Pedagogical Content Knowledge (PCK) is a blend of content knowledge and pedagogy knowledge, which can illustrate the ability of teachers to design and to teach a content by accessing what they knows about the material, students, curriculum and how best to teach the content. Description of PCK ability of science teachers can be accessed through an analysis of their ability to plan and reflect on learning. This study aims to provide an overview of teachers’ PCK skills on environmental pollution materials through use of Content Representation (CoRe) and Pedagogical and Professional-experience Repertoires (PaP-eRs). Descriptive method used in this study with six of science teachers on 7th class from three different schools as subject. The results show that teachers’ PCK skills in planning through CoRe and reflecting through PaP-eRs are in fairly good category. The teacher’s ability in implementing environmental pollution learning materials is in good category. However, there is still a discrepancy between planning through CoRe and the implementation of classroom learning. The teacher’s PCK is influenced by teaching experience and educational background.

  8. Technological pedagogical content knowledge of junior high school mathematics teachers in teaching linear equation

    Science.gov (United States)

    Wati, S.; Fitriana, L.; Mardiyana

    2018-04-01

    Linear equation is one of the topics in mathematics that are considered difficult. Student difficulties of understanding linear equation can be caused by lack of understanding this concept and the way of teachers teach. TPACK is a way to understand the complex relationships between teaching and content taught through the use of specific teaching approaches and supported by the right technology tools. This study aims to identify TPACK of junior high school mathematics teachers in teaching linear equation. The method used in the study was descriptive. In the first phase, a survey using a questionnaire was carried out on 45 junior high school mathematics teachers in teaching linear equation. While in the second phase, the interview involved three teachers. The analysis of data used were quantitative and qualitative technique. The result PCK revealed teachers emphasized developing procedural and conceptual knowledge through reliance on traditional in teaching linear equation. The result of TPK revealed teachers’ lower capacity to deal with the general information and communications technologies goals across the curriculum in teaching linear equation. The result indicated that PowerPoint constitutes TCK modal technological capability in teaching linear equation. The result of TPACK seems to suggest a low standard in teachers’ technological skills across a variety of mathematics education goals in teaching linear equation. This means that the ability of teachers’ TPACK in teaching linear equation still needs to be improved.

  9. The Relationship between Faculty's Pedagogical Content Knowledge and Students' Knowledge about Diversity in Online Courses

    Science.gov (United States)

    Chaudhery, Mitali

    2012-01-01

    The purpose of this proposed study will be to examine the relationship between faculty's pedagogical content knowledge and the design of online curriculum to teach students about diversity in a higher education environment. One hundred twenty-seven faculty teaching online courses at a Midwestern state will be selected on non-random sampling to…

  10. Pedagogical content knowledge and preparation of high school physics teachers

    Directory of Open Access Journals (Sweden)

    Eugenia Etkina

    2010-08-01

    Full Text Available This paper contains a scholarly description of pedagogical practices of the Rutgers Physics/Physical Science Teacher Preparation program. The program focuses on three aspects of teacher preparation: knowledge of physics, knowledge of pedagogy, and knowledge of how to teach physics (pedagogical content knowledge—PCK. The program has been in place for 7 years and has a steady production rate of an average of six teachers per year who remain in the profession. The main purpose of the paper is to provide information about a possible structure, organization, and individual elements of a program that prepares physics teachers. The philosophy of the program and the coursework can be implemented either in a physics department or in a school of education. The paper provides details about the program course work and teaching experiences and suggests ways to adapt it to other local conditions.

  11. The pedagogical content knowledge of Danish geography teachers in a changing schooling context

    DEFF Research Database (Denmark)

    Clausen, Søren Witzel

    2016-01-01

    the TSPK of geography teachers in ways that potentially have an impact on their classroom practice. Teachers´ responses to specific questions relating to their choice of learning goals and the content and organisation of their lessons show that geography teachers take into account not only the knowledge......This study examines the self-reported, topic-specific professional knowledge (TSPK) of Danish geography teachers seen as an aspect of their pedagogical content knowledge (PCK) when teaching weather formation and climate change. This topic is considered representative of geography teaching...

  12. Technological Pedagogical Knowledge of Content: building of concepts and teaching skills

    Directory of Open Access Journals (Sweden)

    Sidinei Oliveira Sousa

    2017-12-01

    Full Text Available This article aims to investigate how the Information and communications technology (ICT are integrated into teaching practices according to the theory of Technological Pedagogical Content Knowledge(TPACK. Participated in the research 44 students enrolled in one subject of Introduction to Computing offered in the Licensure Course of Chemistry from a State University. To the data collection, it were considered the interactions among students, which occurred in the Virtual Learning Environment and in the Facebook social network, besides the reports and materials produced by the students and the questionnaires self- assessment of performance. The data collected showed that the TPACK used as a theoretical framework to address content, combined with an active methodological approach (Blended Online POPBL, allowed the students, future teachers, improve their understanding of how are developed the teachers’ pedagogical practices with knowledge in the technology use articulated with their curricular domain.

  13. Pedagogical Content Knowledge of Experts and Novices--What Knowledge Do They Activate When Analyzing Science Lessons?

    Science.gov (United States)

    Krepf, Matthias; Plöger, Wilfried; Scholl, Daniel; Seifert, Andreas

    2018-01-01

    In the current debate on pedagogical content knowledge (PCK), the term is used to refer to the context-specific knowledge that teachers activate when reflecting on practice. Against the background of this debate, we conducted an empirical study and sought to answer the question of which knowledge experts and novices activated in assessing a…

  14. Infusing Mathematics Content into a Methods Course: Impacting Content Knowledge for Teaching

    Science.gov (United States)

    Burton, Megan; Daane, C. J.; Giesen, Judy

    2008-01-01

    This study compared content knowledge for teaching mathematics differences between elementary pre-service teachers in a traditional versus an experimental mathematics methods course. The experimental course replaced 20 minutes of traditional methods, each class, with an intervention of elementary mathematics content. The difference between groups…

  15. Pedagogical Content Knowledge: A Case Study of ESL Teacher Educator

    Science.gov (United States)

    Liu, Siping

    2013-01-01

    This single-case study focuses on the pedagogical content knowledge (PCK) of a university faculty member teaching Second Language Acquisition to elementary teacher candidates. The research questions address the pattern and development of PCK for ESL teaching. Based on data from classroom observation, interviews and document review, the study finds…

  16. Measuring primary school teachers' pedagogical content knowledge in technology education with a multiple choice test

    NARCIS (Netherlands)

    Rohaan, E.J.; Taconis, R.; Jochems, W.M.G.; Fatih Tasar, M.; Cakankci, G.; Akgul, E.

    2009-01-01

    Pedagogical content knowledge (PCK) is a crucial part of a teacher’s knowledge base for teaching. Studies in the field of technology education for primary schools showed that this domain of teacher knowledge is related to pupils’ increased learning, motivation, and interest. The common methods to

  17. One Usage of Geogebra in Enhancing Pre-service Mathematics Teachers’ Content Knowledge

    Directory of Open Access Journals (Sweden)

    Karmelita Pjanic

    2015-04-01

    Full Text Available A wide range of mathematical ideas could be used to develop and justify a formula for calculating the area of trapezoid. Those ideas lead to different strategies for finding out area of trapezoid that we classify in three groups: decomposing, enclosing and transforming strategies. Those strategies should be part of mathematics content knowledge for teaching. In this study we trace a change in structure of mathematics content knowledge of nine pre-service mathematics teachers as a result of using GeoGebra applets that visualize different approaches in finding out the area of trapezoid. We argue that engaging pre-service mathematics teachers to develop and justify formula for calculating the area of trapezoid using GeoGebra applets is a worth task that enhances pre-service mathematics teachers’ content knowledge for teaching. Our experiment confirmed that the use of Geogebra encourage pre-service mathematics teachers to uncover new ideas that lead them towards clearer justifications and easier way of proving formula for area of trapezoid. Keywords: Area of trapezoid, GeoGebra, content knowledge for teaching

  18. Science Teachers’ Pedagogical Content Knowledge and Integrated Approach

    Science.gov (United States)

    Adi Putra, M. J.; Widodo, A.; Sopandi, W.

    2017-09-01

    The integrated approach refers to the stages of pupils’ psychological development. Unfortunately, the competences which are designed into the curriculum is not appropriate with the child development. This Manuscript presents PCK (pedagogical content knowledge) of teachers who teach science content utilizing an integrated approach. The data has been collected by using CoRe, PaP-eR, and interviews from six elementary teachers who teach science. The paper informs that high and stable teacher PCKs have an impact on how teachers present integrated teaching. Because it is influenced by the selection of important content that must be submitted to the students, the depth of the content, the reasons for choosing the teaching procedures and some other things. So for teachers to be able to integrate teaching, they should have a balanced PCK.

  19. Intrapersonal Factors Affecting Technological Pedagogical Content Knowledge of Agricultural Education Teachers

    Science.gov (United States)

    Stewart, Jessica; Antonenko, Pavlo D.; Robinson, J. Shane; Mwavita, Mwarumba

    2013-01-01

    The focus of this exploratory study was to examine levels of technology integration, self-efficacy, and Technological Pedagogical Content Knowledge (TPACK) in preservice and inservice agricultural education teachers in Oklahoma. The findings of this study suggest that intrapersonal factors, such as self-efficacy, outcome expectations, and…

  20. Early Career Mathematics Teachers' General Pedagogical Knowledge and Skills: Do Teacher Education, Teaching Experience, and Working Conditions Make a Difference?

    Science.gov (United States)

    König, Johannes; Blömeke, Sigrid; Kaiser, Gabriele

    2015-01-01

    We examined several facets of general pedagogical knowledge and skills of early career mathematics teachers, asking how they are associated with characteristics of teacher education, teaching experience, and working conditions. Declarative general pedagogical knowledge (GPK) was assessed via a paper-and-pencil test, while early career teachers'…

  1. Preservice Elementary Teachers' Mathematics Content Knowledge and Teacher Efficacy

    Science.gov (United States)

    Newton, Kristie Jones; Leonard, Jacqueline; Evans, Brian R.; Eastburn, Julie A.

    2012-01-01

    The purpose of this study was to examine the relationship between mathematics content knowledge and teacher efficacy during an elementary mathematics methods course. A positive moderate relationship between content knowledge and personal teaching efficacy was found, and this relationship was stable during the course. No relationship was found…

  2. Does content knowledge matter for new teachers?

    Science.gov (United States)

    Reeves, Todd D.

    There is considerable evidence that new teachers are ill prepared for classroom practice, including self-reported evidence collected from teachers (e.g., Levine, 2006), and statistical evidence for differences in the achievement of students with new versus more experienced teachers (Rivkin, Hanushek, & Kain, 2005). In light of the challenges encountered by new teachers (e.g., Levine, 2006), this study examined the value of different forms of teacher knowledge for teachers with different levels of experience. In particular, this study investigated the interactive relationship between teaching experience and teacher content knowledge, and student achievement in mathematics and science. In New York City, Boyd et al. (2009) linked practice-focused teacher preparation to student mathematics achievement in the first year of teaching and teacher content preparation to achievement in the second. However, other studies demonstrated interactions between teaching experience and content knowledge with different interpretations (e.g., Kukla-Acevedo, 2009; Monk, 1994). At the same time, this study examined the interactive relationship between teaching experience and teachers' pedagogical content knowledge, and student achievement. Extant models of teacher career development (Huberman, 1989; National Research Council, 2010) and how teacher education affects student achievement (e.g., Desimone, 2009) offered theoretical grounding for the study. With nationally representative samples of fourth and eighth grade U.S. students--participants in the 2011 Trends in International Mathematics and Science Study--this study employed hierarchical linear modeling to address its research questions among an array of student achievement outcomes in the domains of mathematics and science. This study attempted to account for salient student, teacher, and contextual factors, and the probabilities of teachers' receipt of various teacher education "treatments" (i.e., propensity score analysis) to

  3. Describing Instrumental Music Teachers' Thinking: Implications for Understanding Pedagogical Content Knowledge

    Science.gov (United States)

    Millican, J. Si

    2013-01-01

    Pedagogical content knowledge, the particular ways that teachers understand their subjects in order to instruct others, has been described and explored in the math and science education fields in some depth, yet little research exists illustrating this concept in music instruction. I used a descriptive approach to explore expert beginning band…

  4. Subject-specific pedagogical content knowledge: Implications for alternatively and traditionally trained biology teachers

    Science.gov (United States)

    Ravgiala, Rebekah Rae

    Theories regarding the development of expertise hold implications for alternative and traditional certification programs and the teachers they train. The literature suggests that when compared to experts in the field of teaching, the behaviors of novices differ in ways that are directly attributed to their pedagogical content knowledge. However, few studies have examined how first and second year biology teachers entering the profession from traditional and alternative training differ in their demonstration of subject-specific pedagogical content knowledge. The research problem in this multicase, naturalistic inquiry investigated how subject-specific pedagogical content knowledge was manifested among first and second year biology teachers in the task of transforming subject matter into forms that are potentially meaningful to students when explicit formal training has been and has not been imparted to them as preservice teachers. Two first year and two second year biology teachers were the subjects of this investigation. Allen and Amber obtained their certification through an alternative summer training institute in consecutive years. Tiffany and Tricia obtained their certification through a traditional, graduate level training program in consecutive years. Both programs were offered at the same northeastern state university. Participants contributed to six data gathering techniques including an initial semi-structured interview, responses to the Conceptions of Teaching Science questionnaire (Hewson & Hewson, 1989), three videotaped biology lessons, evaluation of three corresponding lesson plans, and a final semi-structured interview conducted at the end of the investigation. An informal, end-of-study survey intended to offer participants an opportunity to disclose their thoughts and needs as first year teachers was also employed. Results indicate that while conceptions of teaching science may vary slightly among participants, there is no evidence to suggest that

  5. 21st Century Pedagogical Content Knowledge and Science Teaching and Learning

    Science.gov (United States)

    Slough, Scott; Chamblee, Gregory

    2017-01-01

    Technological Pedagogical Content Knowledge (TPACK) is a theoretical framework that has enjoyed widespread applications as it applies to the integration of technology in the teaching and learning process. This paper reviews the background for TPACK, discusses some of its limitations, and reviews and introduces a new theoretical framework, 21st…

  6. Determination of Self Efficacy Perception Levels of Teachers' Attending an Online Course toward Web Pedagogical Content Knowledge

    Science.gov (United States)

    Oskay, Özge Özyalçin; Odabasi, Zuhal

    2016-01-01

    The effects of technological developments occurred new requirements in educational area. Today's teachers should know the content knowledge they teach, have pedagogical knowledge about teaching and learning methods and besides should use the technological tools effectively. Depending on these, new concepts such as Technological Pedagogical Content…

  7. Pre-Service Teachers' Mathematics Content Knowledge: Implications for How Mathematics Is Taught in Higher Education

    Science.gov (United States)

    Lowrie, Tom; Jorgensen, Robyn

    2016-01-01

    This investigation explored pre-service teachers' mathematics content knowledge (MCK) and beliefs associated with mathematics education practices. An Exploratory Factor Analysis, conducted on a beliefs and attitudes questionnaire, produced three common attitude factors associated with (1) inquiry-based teaching; (2) how mathematics knowledge is…

  8. Foundation Content Knowledge: Pre-Service Teachers as Half-Empty or Becoming Fluent?

    Science.gov (United States)

    Anakin, Megan; Linsell, Chris

    2014-01-01

    The concept of a growth-oriented disposition framed the analysis of theoretical and practical dimensions of pre-service teachers' mathematics content knowledge. We identify historical hangovers, tacit habits, and pedagogical strangleholds that present challenges to the way mathematics education researchers interact with the mathematics content…

  9. Development and Nature of Preservice Chemistry Teachers' Pedagogical Content Knowledge for Nature of Science

    Science.gov (United States)

    Demirdögen, Betül; Hanuscin, Deborah L.; Uzuntiryaki-Kondakci, Esen; Köseoglu, Fitnat

    2016-01-01

    The purpose of this case study is to delve into the complexities of the early development of preservice chemistry teachers' science teaching orientations, knowledge of learners, knowledge of instructional strategies, and knowledge of assessment during a two-semester intervention designed to enhance their pedagogical content knowledge (PCK) for…

  10. Developing Technological Pedagogical Content Knowledge in pre-service science teachers: Support from blended learning

    NARCIS (Netherlands)

    Alayyar, G.; Fisser, Petra; Voogt, Joke

    2012-01-01

    The Technological Pedagogical Content Knowledge (TPACK) framework has been used to prepare pre-service science teachers at the Public Authority of Applied Education and Training in Kuwait for ICT integration in education. Pre-service teachers worked in teams to design an ICT solution for an

  11. Developing Technological Pedagogical Content Knowledge in pre-service science teachers : Support from blended learning

    NARCIS (Netherlands)

    Alayyar, G.; Fisser, Petra; Voogt, Joke

    2012-01-01

    The Technological Pedagogical Content Knowledge (TPACK) framework has been used to prepare pre-service science teachers at the Public Authority of Applied Education and Training in Kuwait for ICT integration in education. Pre-service teachers worked in teams to design an ICT solution for an

  12. Examining science teachers' pedagogical content knowledge in the context of a professional development program

    NARCIS (Netherlands)

    Wongsopawiro, Dirk Soenario

    2012-01-01

    This dissertation reports on the pedagogical content knowledge (PCK) of science teachers during a professional development program. This research intended to help us understand why and how teachers make their classroom decisions as they teach science. The main questions in this study were: What is

  13. Examining Primary Schools' Physical Education Coordinators' Pedagogical Content Knowledge of Games: Are We Just Playing as This?

    Science.gov (United States)

    Ward, Gavin

    2013-01-01

    A detailed insight into how the current educational climate influences the pedagogical decisions made by primary school teachers when teaching games is limited. Studies examining the pedagogical content knowledge (PCK) of teachers within physical education have revealed its close relationship with specific forms of subject knowledge. In…

  14. Teachers' Perceptions and Pedagogical Content Knowledge of Phonological Awareness, Phonics, and Dyslexia

    Science.gov (United States)

    Williams, Jennifer S.

    2012-01-01

    In 2011, a small Midwestern school district referred an increasing number of 2nd-4th grade students, with reading problems due to phonetic and phonological awareness deficits, to the district's intervention team. Framed in Shulman's pedagogical content knowledge model and the International Dyslexia Association's phonological deficit theory of…

  15. From Socialisation to Internalisation: Cultivating Technological Pedagogical Content Knowledge through Problem-Based Learning

    Science.gov (United States)

    Tee, Meng Yew; Lee, Shuh Shing

    2011-01-01

    Recent studies on technology have shifted from the emphasis on technology skills alone to integrating pedagogy and content with technology--what Mishra and Koehler (2005) call technological pedagogical content knowledge (TPACK). Deeper understanding on how TPACK can be cultivated is needed. This design-based research explored how an improvised,…

  16. Pre-Service Chemistry Teachers' Beliefs about Teaching and Their Pedagogical Content Knowledge

    Science.gov (United States)

    Oskay, Ozge Ozyalcin; Erdem, Emine; Yilmaz, Ayhan

    2009-01-01

    In this study the relationship between pre-service chemistry teachers' beliefs about teaching and their pedagogical content knowledge were investigated. The sample of the study consists of 99 pre-service chemistry teachers attending Hacettepe University, Faculty of Education. As data collection tools the adapted form of "Beliefs About…

  17. Professional Knowledge Required When Teaching Mathematics for Numeracy in the Multiplicative Domain

    Science.gov (United States)

    Mills, Judith

    2015-01-01

    This paper presents findings as part of a wider study that investigated the professional knowledge of teachers when teaching mathematics for numeracy in the primary school classroom. This paper focuses on teachers in action as they taught two lessons on multiplication. It outlines the specific pedagogical categories the teachers used and the…

  18. Topic-Specific Pedagogical Content Knowledge (TSPCK) in Redox and Electrochemistry of Experienced Teachers

    Science.gov (United States)

    O'Brien, Stephanie

    Topic specific pedagogical content knowledge (TSPCK) is the basis by which knowledge of subject matter of a particular topic is conveyed to students. This includes students' prior knowledge, curricular saliency, what makes a topic easy or difficult to teach, representations, and teaching strategies. The goal of this study is to assess the pedagogical content knowledge of chemistry teachers in a professional learning community in the areas of redox and electrochemistry, as this has been regarded in previous literature as conceptually challenging for students to learn. By acquiring information regarding the PCK development of experienced chemistry teachers, the education and practice of all science teachers can be advanced. This study builds upon previous research that developed validated instruments to evaluate TSPCK. The research questions sought to determine which components of TSPCK were evidenced by the instructional design decisions teachers made, what shared patterns and trends were evident, and how TSPCK related to student learning outcomes. To answer the research questions subjects completed a background questionnaire, a TSPCK assessment, and interview tasks to elicit information about pedagogical decision making and processes that influenced student learning in their classrooms. The TSPCK exam and interview responses were coded to align with thematic constructs. To determine the effect of TSPCK on student learning gains, pre/post-assessment data on redox and electrochemistry were compared to teachers' TSPCK. The chemistry teachers displayed varying levels of TSPCK in redox and electrochemistry, as evidenced by their knowledge of student learning obstacles, curricular saliency, and teaching methodologies. There was evidence of experienced teachers lacking in certain areas of TSPCK, such as the ability to identify student misconceptions, suggesting the need for programmatic improvements in pre-service and in-service training to address the needs of current

  19. Reading Comprehension in Test Preparation Classes: An Analysis of Teachers' Pedagogical Content Knowledge in TESOL

    Science.gov (United States)

    Irvine-Niakaris, Christine; Kiely, Richard

    2015-01-01

    This article examines the pedagogical content knowledge which underpins the practices in reading lessons of experienced teachers in test preparation classes. It takes as a starting point the assumption that practice is shaped by teacher cognitions, which are established through professional training and classroom experience. Thus, the study…

  20. Developing Technological Pedagogical Content Knowledge in Pre-Service Science Teachers: Support from Blended Learning

    Science.gov (United States)

    Alayyar, Ghaida M.; Fisser, Petra; Voogt, Joke

    2012-01-01

    The "Technological Pedagogical Content Knowledge" (TPACK) framework has been used to prepare pre-service science teachers at the Public Authority of Applied Education and Training in Kuwait for ICT integration in education. Pre-service teachers worked in teams to design an ICT solution for an authentic problem they faced during in-school…

  1. A Community College Instructor's Reflective Journey Toward Developing Pedagogical Content Knowledge for Nature of Science in a Non-majors Undergraduate Biology Course

    Science.gov (United States)

    Krajewski, Sarah J.; Schwartz, Renee

    2014-08-01

    Research supports an explicit-reflective approach to teaching about nature of science (NOS), but little is reported on teachers' journeys as they attempt to integrate NOS into everyday lessons. This participatory action research paper reports the challenges and successes encountered by an in-service teacher, Sarah, implementing NOS for the first time throughout four units of a community college biology course (genetics, molecular biology, evolution, and ecology). Through the action research cycles of planning, implementing, and reflecting, Sarah identified areas of challenge and success. This paper reports emergent themes that assisted her in successfully embedding NOS within the science content. Data include weekly lesson plans and pre/post reflective journaling before and after each lesson of this lecture/lab combination class that met twice a week. This course was taught back to back semesters, and this study is based on the results of a year-long process. Developing pedagogical content knowledge (PCK) for NOS involves coming to understand the overlaps and connections between NOS, other science subject matter, pedagogical strategies, and student learning. Sarah found that through action research she was able to grow and assimilate her understanding of NOS within the biology content she was teaching. A shift in orientation toward teaching products of science to teaching science processes was a necessary shift for NOS pedagogical success. This process enabled Sarah's development of PCK for NOS. As a practical example of putting research-based instructional recommendations into practice, this study may be very useful for other teachers who are learning to teach NOS.

  2. Learning from Rookie Mistakes: Critical Incidents in Developing Pedagogical Content Knowledge for Teaching Science to Teachers

    Science.gov (United States)

    Cite, Suleyman; Lee, Eun; Menon, Deepika; Hanuscin, Deborah L.

    2017-01-01

    While there is a growing literature focused on doctoral preparation for teaching about science teaching, rarely have recommendations extended to preparation for teaching science content to teachers. We three doctoral students employ self-study as a research methodology to investigate our developing pedagogical content knowledge for teaching…

  3. Praxis II mathematics content knowledge test (0061)

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    McCune, Ennis Donice

    2007-01-01

    Your guide to a higher score on the Praxis II?: Mathematics Content Knowledge Test (0061) Why CliffsTestPrep Guides? Go with the name you know and trust Get the information you need--fast! Written by test-prep specialists About the contents: Introduction * Overview of the exam * How to use this book * Proven study strategies and test-taking tips Part I: Subject Review * Focused review of all exam topics: arithmetic and basic algebra, geometry, trigonometry, analytic geometry, functions and their graphs, calculus, probability and statistics, discrete mathematics, linear algebra, compute

  4. The transformation of science and mathematics content knowledge into teaching content by university faculty

    Science.gov (United States)

    Flynn, Natalie P.

    knowledge from an expert centered perspective to a student centric view. Follow-up interviews of twenty faculty yielded a wide variety of insights into the complicated method of deconstructing expert science and mathematics content. The interviews revealed a major disconnect between education research and researchers and the science and mathematics content experts who teach. There is a pervasive disregard for science and mathematics education and training. Faculty members find little to no support for teaching. Though 81% obtained their Ph.D. with the intent to enter an academic setting, pedagogical training was non-existent or limited, both prior to and after obtaining faculty positions. Experience alone did not account for confidence or ability to successfully teach. Faculty that were able to 'think like a student' and view their material from a student's perspective' seemed to be the most confident and flexible in their teaching methods. Grading and having an open and interactive teaching style, being on the 'side of the students' also seemed to allow faculty to connect more deeply with the students and learn about common misconceptions and difficulties. Though most faculty claimed to not teach as they were taught and not recall having specific content difficulties, this essential interaction with many students facilitated a shift in thinking about their content. This shift allowed for a reversal from teacher centered classrooms to student centered. Multiple issues arise when teaching at a traditional larger lecture style found in the majority of universities science and mathematics courses that constrain and provide unique teaching challenges. Many faculty have developed unique tools to incorporate successful teaching strategies, such as daily pre-quizzes and smart-phone questioning as well as small group work, computer posted guides, strategic class breaks, and limiting lecture style in favor of a more active engaged classroom. (Abstract shortened by UMI.).

  5. Initial Characterization of Colombian High School Physics Teachers' Pedagogical Content Knowledge on Electric Fields

    Science.gov (United States)

    Melo-Niño, Lina Viviana; Cañada, Florentina; Mellado, Vicente

    2017-01-01

    We explore the initial characterization of the pedagogical content knowledge of four, in-service, Colombian pre-university secondary education physics teachers on the concept of electric field. Two of them teach the content in English as a second language. The aim of the study was to obtain an image of the participants' teaching of electric field…

  6. POOR PROGRESS STUDENTS IN LEARNING MATHEMATICS AS SOCIAL AND PSYCHOLOGICAL-PEDAGOGICAL PROBLEM

    Directory of Open Access Journals (Sweden)

    Vladimir Tatochenko

    2016-09-01

    Full Text Available The article is devoted to theoretical substantiation of modern methodical system of Mathematics teaching of poor progressing secondary school pupils. A systematic approach to the study of psycho-pedagogical determinants of poor progress of pupils in math was implemented. The dynamic of interfunctional relationship of structure of educational and informative sphere of poor progressing pupils in mathematics was disclosed and scientific understanding of this process was expanded. The introduction in the educational process of didactic methodical and psychologically balanced methodical control system and correction of poor progressing students’ in Maths improves quality indicators of their permanent knowledge and skills. It allows you to discover the fullness, depth and durability of learning at different stages and levels of education, it contributes to correction, management and partly self-management learning process of poor progressing students in Mathematics, excites them to an active mental activity promotes the development of a conscious attitude to their systematic academic work. The essence of “poor progress” phenomena is observed as well as “educational retardation” of school students during teaching mathematics. Target orientation, the resource potential of the real educational process of poor progressing pupils in Mathematics are determined. Contradictions are singled out and pedagogical conditions of results control of learning outcomes of comprehensive school pupils are proved. An attempt to consider the academic failure of schoolchildren in Mathematics in connection with the main categories of didactics – the content and the learning process was made. Certain shortcomings of teaching and learning activities of students in the study of Mathematics are highlighted as poor progressing elements and gaps. The process and content, enriched with the use of NIT, ensuring the formation of key competencies of lagging behind and

  7. The Impact of Physics Teachers' Pedagogical Content Knowledge and Motivation on Students' Achievement and Interest

    Science.gov (United States)

    Keller, Melanie M.; Neumann, Knut; Fischer, Hans E.

    2017-01-01

    This paper examines students' achievement and interest and the extent to which they are predicted by teacher knowledge and motivation. Student achievement and interest are both considered desirable outcomes of school instruction. Teacher pedagogical content knowledge has been identified a major predictor of student achievement in previous…

  8. Using collaborative technology to enhance pre-service teachers' pedagogical content knowledge in Science

    Science.gov (United States)

    Donnelly, Dermot Francis; Hume, Anne

    2015-01-01

    Background:Supporting pre-service teacher (PT) collaboration as a means of professional learning is a challenging but essential task for effective practice. However, teacher placements or practicums in schools, which is common practice within teacher education programmes, can often isolate PTs from sharing their experiences with each other. Further, the articulation of effective pedagogical practices by high-quality teachers is limited, restricting PTs' ability to access such professional knowledge. Purpose:This study investigates how the introduction of a collaborative technology, a wiki, may enhance existing and new opportunities for pre-service teachers' (PTs) to develop pedagogical content knowledge (PCK). Sample:Seven PT chemistry teachers of varied backgrounds participated in this study. Design and method:The PTs were learning to collaboratively formulate and document their early topic-specific teaching knowledge using a pedagogical tool known as Content Representation (CoRe) design. Once scaffolded into this process, the PTs continued and extended this collaborative work online through the introduction of a wiki. Data were collected for qualitative analysis through the CoRe artefacts, a semi-structured focus group interview, and PTs' reflective essays about their collaborative experiences representing their teaching knowledge in CoRes through the wiki. Results:Data analysis highlighted that while wiki use showed some potential for collaborative representation when participants were not face-to-face, the PTs were hesitant in critiquing each other's work. As such, the online representations remained relatively static without face-to-face interaction. However, developing artefacts online was favoured over established practice and the access to artefacts of their peers on the wiki enhanced PTs' consideration for their own PCK. Conclusion:Wikis show some potential in the hosting of CoRes, but issues in simultaneous posting and lack of chat functionality may

  9. Strategies for Mentoring Pedagogical Knowledge

    Science.gov (United States)

    Hudson, Peter

    2013-01-01

    Fundamental for mentoring a preservice teacher is the mentor's articulation of pedagogical knowledge, which in this research draws upon specific practices, viz.: planning, timetabling lessons, preparation, teaching strategies, content knowledge, problem solving, questioning, classroom management, implementation, assessment and viewpoints for…

  10. Shaping Pedagogical Content Knowledge for Experienced Agriculture Teachers in the Plant Sciences: A Grounded Theory

    Science.gov (United States)

    Rice, Amber H.; Kitchel, Tracy

    2017-01-01

    This grounded theory study explored the pedagogical content knowledge (PCK) of experienced agriculture teachers in the plant sciences. The most emergent phenomenon to surface from the data was the influence of beliefs on participants' PCK. This central phenomenon became the cornerstone for the model of what was shaping experienced agriculture…

  11. Scale development for pre-service mathematics teachers ...

    African Journals Online (AJOL)

    The purpose of this study is to develop a scale to determine pre-service mathematics teachers' perceptions related to their pedagogical content knowledge. Firstly, a preliminary perception scale of pedagogical content knowledge was constructed and then administered to 112 pre-service mathematics teachers who were ...

  12. Epistemological Beliefs of Prospective Preschool Teachers and Their Relation to Knowledge, Perception, and Planning Abilities in the Field of Mathematics: A Process Model

    Science.gov (United States)

    Dunekacke, Simone; Jenßen, Lars; Eilerts, Katja; Blömeke, Sigrid

    2016-01-01

    Teacher competence is a multi-dimensional construct that includes beliefs as well as knowledge. The present study investigated the structure of prospective preschool teachers' mathematics-related beliefs and their relation to content knowledge and pedagogical content knowledge. In addition, prospective preschool teachers' perception and planning…

  13. Not a Stale Metaphor: The Continued Relevance of Pedagogical Content Knowledge for Science Research and Education

    Science.gov (United States)

    Hayden, H. Emily; Eades Baird, Michelle

    2018-01-01

    Recently, theorists have raised concerns that pedagogical content knowledge (PCK) has become "a stale metaphor" that disregards diversity and equity, offers little to help teachers address students' misconceptions, and portrays knowledge as "in the head" versus in practice. We refute these notions using grounded theory to…

  14. Promoting pedagogical content knowledge development for early career secondary teachers in science and technology using content representations

    Science.gov (United States)

    Williams, John; Eames, Chris; Hume, Anne; Lockley, John

    2012-11-01

    Background: This research addressed the key area of early career teacher education and aimed to explore the use of a 'content representation' (CoRe) as a mediational tool to develop early career secondary teacher pedagogical content knowledge (PCK). This study was situated in the subject areas of science and technology, where sound teacher knowledge is particularly important to student engagement. Purpose: The study was designed to examine whether such a tool (a CoRe), co-designed by an early career secondary teacher with expert content and pedagogy specialists, can enhance the PCK of early career teachers. The research questions were: How can experts in content and pedagogy work together with early career teachers to develop one science topic CoRe and one technology topic CoRe to support the development of PCK for early career secondary teachers? How does the use of a collaboratively designed CoRe affect the planning of an early career secondary teacher in science or technology? How has engagement in the development and use of an expert-informed CoRe developed an early career teacher's PCK? Sample: The research design incorporated a unique partnership between two expert classroom teachers, two content experts, four early career teachers, and four researchers experienced in science and technology education. Design: This study employed an interpretivist-based methodology and an action research approach within a four-case study design. Data were gathered using qualitative research methods focused on semi-structured interviews, observations and document analysis. Results: The study indicated that CoRes, developed through this collaborative process, helped the early career teachers focus on the big picture of the topic, emphasize particularly relevant areas of content and consider alternative ways of planning for their teaching. Conclusions: This paper presents an analysis of the process of CoRe development by the teacher-expert partnerships and the effect that had on

  15. Learning to Teach Computer Science: Qualitative Insights into Secondary Teachers' Pedagogical Content Knowledge

    Science.gov (United States)

    Hubbard, Aleata Kimberly

    2017-01-01

    In this dissertation, I explored the pedagogical content knowledge of in-service high school educators recently assigned to teach computer science for the first time. Teachers were participating in a professional development program where they co-taught introductory computing classes with tech industry professionals. The study was motivated by…

  16. The Ways to Promote Pre-service Science Teachers’ Pedagogical Content Knowledge for Inquiry in Learning Management in Science Course

    Directory of Open Access Journals (Sweden)

    Siriphan Satthaphon

    2017-09-01

    Full Text Available This classroom action research aimed to study the ways to promote pre-service science teachers’ pedagogical content knowledge for inquiry (PCK for inquiry. The participants were 37 students who enrolled in Learning Management in Science course in academic year 2014. Multiple data sources including students’ lesson plans, reflective journals, teacher’s logs, and worksheets were collected. The inductive approach was used to analyze data. The findings revealed the ways to promote pre-service science teachers’ PCK for inquiry consisted of being teacher’s explicit role model ; providing students to reflect their practices that link between their knowledge and understandings ; reflection from video case ; collaboration between students and teacher in learning activities planning, and allowing students to practice in actual situation could be better influence students not only reflect their understandings but also design, and teach science through inquiry.

  17. A Study of Strengthening Secondary Mathematics Teachers' Knowledge of Statistics and Probability via Professional Development

    Science.gov (United States)

    DeVaul, Lina

    2017-01-01

    A professional development program (PSPD) was implemented to improve in-service secondary mathematics teachers' content knowledge, pedagogical knowledge, and self-efficacy in teaching secondary school statistics and probability. Participants generated a teaching resource website at the conclusion of the PSPD program. Participants' content…

  18. The effect of fifth grade science teachers' pedagogical content knowledge on their decision making and student learning outcomes on the concept of chemical change

    Science.gov (United States)

    Ogletree, Glenda Lee

    This study investigated the science pedagogical content knowledge (PCK) among teachers as they taught the concept of chemical change to fifth grade students. The purpose was to identify teachers' PCK and its impact in middle grade science classrooms. A second purpose was to investigate the possible relationship of teachers' science PCK to teacher actions and student learning outcomes in the classroom. The instruments used to capture PCK were background and demographic information, Content Representations (CoRe), and Professional and Pedagogical experience Repertoire (PaP-eR). The study investigated CoRe and PaP-eR with seven classroom teachers as they planned and taught chemical change to fifth grade students. Four levels of a Pedagogical Content Knowledge rubric were used to describe varying levels of PCK. The four levels were content knowledge of chemical change; knowledge of students' thinking; knowledge of how to represent chemical change to promote student learning; and professional development, collaboration, and leadership roles in science. The Reformed Teaching Observation Protocol (RTOP) described and evaluated science teaching performance levels of the teachers. In this study, 176 students were assessed to determine understanding of chemical change. There was a significant correlation between teachers' PCK scores and student achievement. The study also determined that a significant correlation existed between teachers' PCK scores and their RTOP scores revealing that RTOP scores could be predictors of PCK. Through this approach, understandings of PCK emerged that are of interest to university preservice preparation programs, research in understanding effective teachers and teaching, and the planning and implementation of professional development for teachers of science with middle grade students.

  19. Effects of an Additional Mathematics Content Course on Elementary Teachers' Mathematical Beliefs and Knowledge for Teaching

    Science.gov (United States)

    Smith, Marvin E.; Swars, Susan L.; Smith, Stephanie Z.; Hart, Lynn C.; Haardorfer, Regine

    2012-01-01

    This longitudinal study examines the effects of changes in an elementary teacher preparation program on mathematics beliefs and content knowledge for teaching of two groups of prospective teachers (N = 276): (1) those who completed a program with three mathematics content courses and two mathematics methods courses and (2) those who completed a…

  20. Developing biology teachers' pedagogical content knowledge through learning study: the case of teaching human evolution

    Science.gov (United States)

    Bravo, Paulina; Cofré, Hernán

    2016-11-01

    This work explores how pedagogical content knowledge (PCK) on evolution was modified by two biology teachers who participated in a professional development programme (PDP) that included a subsequent follow-up in the classroom. The PDP spanned a semester and included activities such as content updates, collaborative lesson planning, and the presentation of planned lessons. In the follow-up part, the lessons were videotaped and analysed, identifying strategies, activities, and conditions based on student learning about the theory of evolution. Data were collected in the first round with an interview before the training process, identifying these teachers' initial content representation (CoRe) for evolution. Then, a group interview was conducted after the lessons, and, finally, an interview of stimulated recall with each teacher was conducted regarding the subject taught to allow teachers to reflect on their practice (final CoRe). This information was analysed by the teachers and the researchers, reflecting on the components of the PCK, possible changes, and the rationale behind their actions. The results show that teachers changed their beliefs and knowledge about the best methods and strategies to teach evolution, and about students' learning obstacles and misconceptions on evolution. They realised how a review of their own practices promotes this transformation.

  1. Designing Tasks to Examine Mathematical Knowledge for Teaching Statistics for Primary Teachers

    Science.gov (United States)

    Siswono, T. Y. E.; Kohar, A. W.; Hartono, S.

    2018-01-01

    Mathematical knowledge for teaching (MKT) is viewed as fuel resources for conducting an orchestra in a teaching and learning process. By understanding MKT, especially for primary teachers, it can predict the success of a goal of an instruction and analyze the weaknesses and improvements of it. To explore what teachers think about subject matters, pedagogical terms, and appropriate curriculum, it needs a task which can be identified the teachers’ MKT including the subject matter knowledge (SMK) and pedagogical content knowledge (PCK). This study aims to design an appropriate task for exploring primary teachers’ MKT for statistics in primary school. We designed six tasks to examine 40 primary teachers’ MKT, of which each respectively represents the categories of SMK (common content knowledge (CCK) and specialised content knowledge (SCK)) and PCK (knowledge of content and students (KCS), knowledge of content and teaching (KCT), and knowledge of content and curriculum (KCC)). While MKT has much attention of numbers of scholars, we consider knowledge of content and culture (KCCl) to be hypothesized in the domains of MKT. Thus, we added one more task examining how the primary teachers used their knowledge of content (KC) regarding to MKT in statistics. Some examples of the teachers’ responses on the tasks are discussed and some refinements of MKT task in statistics for primary teachers are suggested.

  2. The Future of Pedagogical Action Research in Psychology

    Science.gov (United States)

    Cormack, Sophie; Bourne, Victoria; Deuker, Charmaine; Norton, Lin; O'Siochcru, Cathal; Watling, Rosamond

    2014-01-01

    Psychology lecturers are well-qualified to carry out action research which would contribute to the theoretical understanding of learning as well as having practical benefits for students. Pedagogical action research demonstrates how knowledge of psychology can be applied to solve practical problems, providing role models of psychological literacy…

  3. The Use of Lesson Study Combined with Content Representation in the Planning of Physics Lessons During Field Practice to Develop Pedagogical Content Knowledge

    Science.gov (United States)

    Juhler, Martin Vogt

    2016-08-01

    Recent research, both internationally and in Norway, has clearly expressed concerns about missing connections between subject-matter knowledge, pedagogical competence and real-life practice in schools. This study addresses this problem within the domain of field practice in teacher education, studying pre-service teachers' planning of a Physics lesson. Two means of intervention were introduced. The first was lesson study, which is a method for planning, carrying out and reflecting on a research lesson in detail with a learner and content-centered focus. This was used in combination with a second means, content representations, which is a systematic tool that connects overall teaching aims with pedagogical prompts. Changes in teaching were assessed through the construct of pedagogical content knowledge (PCK). A deductive coding analysis was carried out for this purpose. Transcripts of pre-service teachers' planning of a Physics lesson were coded into four main PCK categories, which were thereafter divided into 16 PCK sub-categories. The results showed that the intervention affected the pre-service teachers' potential to start developing PCK. First, they focused much more on categories concerning the learners. Second, they focused far more uniformly in all of the four main categories comprising PCK. Consequently, these differences could affect their potential to start developing PCK.

  4. Developing pre-service science teachers' pedagogical content knowledge by using training program

    Science.gov (United States)

    Udomkan, Watinee; Suwannoi, Paisan

    2018-01-01

    A training program was developed for enhancing pre-service science teachers' pedagogical content knowledge (PCK). The pre-service science teachers are able to: understand science curriculum, knowledge of assessment in science, knowledge of students' understanding of science, instructional strategies and orientations towards science teaching, which is conceptualized as PCK [5]. This study examined the preservice science teachers' understandings and their practices which include five pre-service science teachers' PCK. In this study, the participants demonstrated their PCK through the process of the training program by writing content representations (CoRes), preparing the lesson plans, micro-teaching, and actual teaching respectively. All pre-service science teachers' performs were collected by classroom observations. Then, they were interviewed. The results showed that the pre-service science teachers progressively developed knowledge components of PCK. Micro-teaching is the key activities for developing PCK. However, they had some difficulties in their classroom teaching. They required of sufficient ability to design appropriate instructional strategies and assessment activities for teaching. Blending content and pedagogy is also a matter of great concern. The implication of this study was that science educators can enhance pre-service science teachers' PCK by fostering their better understandings of the instructional strategies, assessment activities and blending between content and pedagogy in their classroom.

  5. The Influence of the Pedagogical Content Knowledge Theoretical Framework on Research on Preservice Teacher Education

    Science.gov (United States)

    Mecoli, Storey

    2013-01-01

    Pedagogical Content Knowledge, Lee S. Shulman's theoretical framework, has had a substantial influence on research in preservice teacher education, and consequently, schools of education. This review builds from Grossman's case studies that concluded that beginning teachers provided with excellent teacher education developed more substantial PCK…

  6. Literacy Integration of Technological Pedagogical Content Knowledge (TPACK) in Elementary Schools: A Case Study of Collaborative Leadership

    Science.gov (United States)

    Mason, Charlene A.

    2016-01-01

    Integration of educational technology in the context of e-books has experienced slow implementation in elementary schools, specifically in early literacy instruction. Technological pedagogical content knowledge (TPACK) is a framework for metacognitive reflection on how the learning of subject matter can be facilitated through the use of…

  7. Development of Technological and Pedagogical Content Knowledge of the Chemistry by Teachers in Training Through the Reflection of PaP-eRs and Videos

    Directory of Open Access Journals (Sweden)

    Boris Fernando Candela

    2018-01-01

    Full Text Available This article described how trainee teachers identified and developed some elements of the Technological and Pedagogical Knowledge of Chemistry Content (CTPC, along the course of educational and pedagogical context by "reflective orientation". The methodological perspective was qualitative by case study, which was configured by two interwoven areas of reflection, namely: (a reflecting on the opinions of experts about the teaching of a content, through the readings proposed in the training programs; and (b reflecting on the teaching carried out by experienced teachers through case videos and the Repertoire of Professional and Pedagogical Experiences (PaP-eRs. This heuristic reduced the complexity of teaching in a manageable story located in a specific context, so that teachers could identify and reflect on their theories about the teaching and learning of chemistry. This study showed that teachers in training identified and developed the following elements of the CTPC of chemistry: general pedagogy, language as a learning tool, difficulties and alternative conceptions, knowledge of technology as an instrument to represent the contents and manage the chemistry classroom, and the formative evaluation. Definitely, the reflection of the critical events of the PaP-eRs and videos of cases was considered an appropriate heuristic that allowed the future teachers to articulate the knowledge coming from the literature in education in chemistry, with the virtual experiences of teaching-learning of a real context. Of course, this reflection was mediated by reading, discussing and reflecting on the intelligent actions of an exemplary teacher when guiding singular students from a sociocultural perspective, with the purpose of beginning to refine their theories of teaching and learning chemistry.

  8. Pedagogical Content Knowledge of Argumentation: Using Classroom Contexts to Assess High-Quality PCK Rather than Pseudoargumentation

    Science.gov (United States)

    McNeill, Katherine L.; González-Howard, María; Katsh-Singer, Rebecca; Loper, Suzanna

    2016-01-01

    Despite the recent emphasis on science practices, little work has focused on teachers' knowledge of these key learning goals. The development of high quality assessments for teachers' pedagogical content knowledge (PCK) of science practices, such as argumentation, is important to better assess the needs of teachers and to develop supportive…

  9. Improving pedagogic competence using an e-learning approach for pre-service mathematics teachers

    Science.gov (United States)

    Retnowati, E.; Murdiyani, N. M.; Marsigit; Sugiman; Mahmudi, A.

    2018-03-01

    This article reported a classroom action research that was aimed to improve student’s pedagogic competence during a course namely Methods of Mathematics Instruction. An asynchronous e-learning approach was provided as supplementary material to the main lecture. This e-learning consisted of selected references and educational website addresses and also facilitated online discussions about various methods of mathematics instructions. The subject was twenty-six pre-service teachers in the Department of Mathematics Education, Yogyakarta State University, Indonesia, conducted by the researchers. The research completed three cycles, where each cycle consisted of plan-action-reflection. Through observation, documentation, and interview, it was concluded that asynchronous e-learning might be used to improve pedagogic competence when direct instruction is also applied in the classroom. Direct instruction in this study provided review, explanation, scheme, and examples which could be used by students to select relevant resources in the e-learning portal. Moreover, the pedagogic competence improved after students accomplished assignments to identify aspects of pedagogic instruction either from analyzing videos in e-learning course or simulating in the classroom with direct commentaries. Supporting factors were enthusiasm, discipline, and interactions among students and lecturer that were built throughout the lectures.

  10. Investigating Coherence among Turkish Elementary Science Teachers' Teaching Belief Systems, Pedagogical Content Knowledge and Practice

    Science.gov (United States)

    Bahcivan, Eralp; Cobern, William W.

    2016-01-01

    This study investigated comprehensive science teaching belief systems and their relation to science teachers' pedagogical content knowledge and teaching practices. Rokeach's (1968) belief system was used as a framework for representing the hierarchy among in-service teachers' teaching beliefs. This study employed a multiple case study design with…

  11. Developing and evaluating a paper-and-pencil test to assess components of physics teachers' pedagogical content knowledge

    Science.gov (United States)

    Kirschner, Sophie; Borowski, Andreas; Fischer, Hans E.; Gess-Newsome, Julie; von Aufschnaiter, Claudia

    2016-05-01

    Teachers' professional knowledge is assumed to be a key variable for effective teaching. As teacher education has the goal to enhance professional knowledge of current and future teachers, this knowledge should be described and assessed. Nevertheless, only a limited number of studies quantitatively measures physics teachers' professional knowledge. The study reported in this paper was part of a bigger project with the broader goal of understanding teacher professional knowledge. We designed a test instrument to assess the professional knowledge of physics teachers (N = 186) in the dimensions of content knowledge (CK), pedagogical content knowledge (PCK), and pedagogical knowledge (PK). A model describing the relationships between these three dimensions of professional knowledge was created to inform the design of the tests used to measure CK, PCK, and PK. In this paper, we describe the model with particular emphasis on the PCK part, and the subsequent PCK test development and its implementation in detail. We report different approaches to evaluate the PCK test, including the description of content validity, the examination of the internal structure of professional knowledge, and the analysis of construct validity by testing teachers across different school subjects, teachers from different school types, pre-service teachers, and physicists. Our findings demonstrate that our PCK test results could distinguish physics teachers from the other groups tested. The PCK test results could not be explained by teachers' CK or PK, cognitive abilities, computational skills, or science knowledge.

  12. Developing Pedagogical Content Knowledge: Lessons Learned from Intervention Studies

    Directory of Open Access Journals (Sweden)

    Marie Evens

    2015-01-01

    Full Text Available Pedagogical content knowledge (PCK is generally accepted as positively impacting teaching quality and student learning. Therefore, research on PCK development in (prospective teachers is highly relevant. Based on a search in three databases (ERIC, PsycInfo, and Web of Science, a systematic review is conducted on intervention studies aiming at PCK development. The research questions are threefold: (1 How are the studies designed? (2 How are the interventions designed? and (3 What elements of interventions contribute to PCK development? The results show that most intervention studies are conducted in math and science education and use a qualitative methodology. Reflection, PCK courses, contact with other teachers, and experiences in educational practice are typically part of effective interventions. The review enables the identification of clear guidelines that may strengthen future research on stimulating PCK.

  13. Pre-service teachers' content knowledge and pedagogical content ...

    African Journals Online (AJOL)

    kofi.mereku

    African Journal of Educational Studies in Mathematics and Sciences Vol. 13, 2017. 63 ... knowledge in teaching geometric transformation ... made more practical and that pre-service teachers should be given ample opportunity to practice.

  14. Exploring the Complexity of Teaching: The Interaction between Teacher Self-Regulation and Pedagogical Content Knowledge

    Science.gov (United States)

    Uzuntiryaki-Kondakci, Esen; Demirdögen, Betül; Akin, Fatma Nur; Tarkin, Aysegul; Aydin-Günbatar, Sevgi

    2017-01-01

    This study combined two important frameworks--teacher self-regulation and pedagogical content knowledge (PCK)--to reveal whether they were related to each other. To fulfill this aim, researchers utilized a case-study design. Data were collected from five preservice chemistry teachers through semi-structured interviews, lesson plans in the form of…

  15. Domain-Specific Aspects of Technological Pedagogical Content Knowledge: Music Education and the Importance of Affect

    Science.gov (United States)

    Macrides, Elena; Angeli, Charoula

    2018-01-01

    The present study addresses the lack of a theoretical framework for the integration of technology in music teaching and learning, and explores, within the framework of Technological Pedagogical Content Knowledge (TPACK), the importance of affect in the instructional design of music lessons. The purpose of this study is twofold: (a) to extend the…

  16. Supporting teachers’ collaboration in design teams to develop Technological Pedagogical Content Knowledge: the case of science teachers in Tanzania

    NARCIS (Netherlands)

    Kafyulilo, Ayoub; Fisser, Petra; Voogt, Joke; McBride, R.; Searson, M.

    2013-01-01

    This study assessed the effect of support on the teachers’ collaboration in design teams and development of Technological Pedagogical Content Knowledge (TPACK). The study was carried out in two secondary schools in Tanzania: Chang’ombe and Jitegemee secondary schools. From each school 10 teachers

  17. The Place of Subject Matter Knowledge in Pedagogical Content Knowledge: A Case Study of South African Teachers Teaching the Amount of Substance and Chemical Equilibrium

    Science.gov (United States)

    Rollnick, Marissa; Bennett, Judith; Rhemtula, Mariam; Dharsey, Nadine; Ndlovu, Thandi

    2008-01-01

    This paper presents two South African case studies designed to explore the influence of subject matter knowledge on pedagogical content knowledge (PCK). In the first case study on teaching the mole in two township schools, the findings illustrate that the participant teachers favoured procedural approaches at the expense of conceptual…

  18. Pre-Service Elementary Teachers' Mathematics Content Knowledge: A Predictor of Sixth Graders' Mathematics Performance

    Science.gov (United States)

    Shirvani, Hosin

    2015-01-01

    This study examined the knowledge of mathematics content of elementary pre-service teachers at a sixth grade level. The researcher administered a mathematics test for sixth graders mandated by the Texas Education Agency to pre-service teachers; the same test was given to sixth graders in Texas. The study found that pre-service teachers performed…

  19. The role of pedagogical historiography in forming pedagogical knowledge

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    Vujisić-Živković Nataša

    2008-01-01

    Full Text Available This paper discuses the role of pedagogical historiography in forming pedagogical knowledge, both from the aspect of history and from the aspect of the present status of this discipline. Our aim is to observe the problems of pedagogical historiography, as a scientific and teaching discipline, in the context of forming of pedagogical knowledge. The process of transformation of heuristic function of the history of pedagogy is analyzed - from the traditional approach which emphasizes its role in forming pedagogical culture to the orientation of historical research and education in pedagogy towards theoretical and professional knowledge. The development of history of pedagogy as a scientific discipline is mostly observed through three phases: the first, focused on research of the development of pedagogical ideas and/or school system, lasted until the 1960s, when it was replaced by social history of education, while today it is mostly spoken about the 'cultural history of education'. The evolution of pedagogical historiography is also followed by the changes in its relation towards theory and practice of education, which is especially dealt with in this paper. In the conditions of radical changes in epistemology of social sciences and university reform, pedagogical historiography faces the question of its own relevance.

  20. Analysis of a physics teacher's pedagogical `micro-actions' that support 17-year-olds' learning of free body diagrams via a modelling approach

    Science.gov (United States)

    Tay, Su Lynn; Yeo, Jennifer

    2018-01-01

    Great teaching is characterised by the specific actions a teacher takes in the classroom to bring about learning. In the context of model-based teaching (MBT), teachers' difficulty in working with students' models that are not scientifically consistent is troubling. To address this problem, the aim of this study is to identify the pedagogical micro-actions to support the development of scientific models and modelling skills during the evaluation and modification stages of MBT. Taking the perspective of pedagogical content knowing (PCKg), it identifies these micro-actions as an in-situ, dynamic transformation of knowledges of content, pedagogy, student and environment context. Through a case study approach, a lesson conducted by an experienced high-school physics teacher was examined. Audio and video recordings of the lesson contributed to the data sources. Taking a grounded approach in the analysis, eight pedagogical micro-actions enacted by the teacher were identified, namely 'clarification', 'evaluation', 'explanation', 'modification', 'exploration', 'referencing conventions', 'focusing' and 'meta-representing'. These micro-actions support students' learning related to the conceptual, cognitive, discursive and epistemological aspects of modelling. From the micro-actions, we identify the aspects of knowledges of PCKg that teachers need in order to competently select and enact these micro-actions. The in-situ and dynamic transformation of these knowledges implies that professional development should also be situated in the context in which these micro-actions are meaningful.

  1. Examination of the Topic-Specific Nature of Pedagogical Content Knowledge in Teaching Electrochemical Cells and Nuclear Reactions

    Science.gov (United States)

    Aydin, Sevgi; Friedrichsen, Patricia M.; Boz, Yezdan; Hanuscin, Deborah L.

    2014-01-01

    The purpose of this study was to examine experienced chemistry teachers' pedagogical content knowledge (PCK) for two different topics in chemistry to better understand how PCK is specific to topic, including whether all components of PCK are topic-specific and to what degree. To explore the topic-specific nature of PCK, we examined two experienced…

  2. Developing Distinct Mathematical and Scientific Pedagogical Content Knowledge in an Early Childhood Dual-Content Methods Course: An Alternative to Integration

    Science.gov (United States)

    Kalchman, Mindy; Kozoll, Richard H.

    2017-01-01

    Methods for teaching early childhood mathematics and science are often addressed in a single, dual-content course. Approaches to teaching this type of course include integrating the content and the pedagogy of both subjects, or keeping the subject areas distinct. In this article, the authors discuss and illustrate their approach to such a combined…

  3. Understanding a High School Physics Teacher's Pedagogical Content Knowledge of Argumentation

    Science.gov (United States)

    Wang, Jianlan; Buck, Gayle A.

    2016-08-01

    Scientific argumentation is an important learning objective in science education. It is also an effective instructional approach to constructivist science learning. The implementation of argumentation in school settings requires science teachers, who are pivotal agents of transforming classroom practices, to develop sophisticated knowledge of argumentation. However, there is a lack of understanding about science teachers' knowledge of argumentation, especially the dialogic meaning of argumentation. In this case study, we closely examine a high school physics teacher's argumentation-related pedagogic content knowledge (PCK) in the context of dialogic argumentation. We synthesize the teacher's performed PCK from his argumentation practices and narrated PCK from his reflection on the argumentation practices, from which we summarize his PCK of argumentation from the perspectives of orientation, instructional strategies, students, curriculum, and assessment. Finally, we describe the teacher's perception and adaption of argumentation in his class. We also identity the barriers to argumentation implementation in this particular case and suggest solutions to overcome these barriers.

  4. Exploring the Progression in Preservice Chemistry Teachers' Pedagogical Content Knowledge Representations: The Case of "Behavior of Gases"

    Science.gov (United States)

    Adadan, Emine; Oner, Diler

    2014-01-01

    This multiple case study investigated how two preservice chemistry teachers' pedagogical content knowledge (PCK) representations of behavior of gases progressed in the context of a semester-long chemistry teaching methods course. The change in the participants' PCK components was interpreted with respect to the theoretical PCK learning…

  5. Investigation of Technological Pedagogy Content Knowledge of Pre-Service Science and Technology Teachers

    OpenAIRE

    Bayram AKARSU; Esra GÜVEN

    2014-01-01

    The purpose of this study is to investigate Technological Pedagogical Content Knowledge (TPACK) of 3rd and 4th year prospective science teachers, enrollment at the faculty of education, with respect to the technological knowledge (TK), pedagogical knowledge (PK), content knowledge (CK), technological pedagogical knowledge (TPC), pedagogical content knowledge (PCK), and information in the technological content (TPC). These knowledge types are intersection of the sub-dimensions to determine whe...

  6. INTEGRATION OF FRACTAL AND NEURAL NETWORK TECHNOLOGIES IN PEDAGOGICAL MONITORING AND ASSESSMENT OF KNOWLEDGE OF TRAINEES

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    Svetlana N Dvoryatkina

    2017-12-01

    Full Text Available The possibility of statement and solution of the problem of searching of theoretical justification and development of efficient didactic mechanisms of the organization of process of pedagogical monitoring and assessment of level of knowledge of trainees can be based on convergence of the leading psychological and pedagogical, mathematical, and informational technologies with accounting of the modern achievements in science. In the article, the pedagogical expediency of realization of opportunities of means of informational technologies in monitoring and assessment of the composite mathematical knowledge, in the management of cognitive activity of students is proved. The ability to integrate fractal methods and neural network technologies in perfecting of a system of pedagogical monitoring of mathematical knowledge of trainees as a part of the automated training systems (ATS is investigated and realized in practice. It is proved that fractal methods increase the accuracy and depth of estimation of the level of proficiency of students and also complexes of intellectual operations of the integrative qualities allowing to master and apply cross-disciplinary knowledge and abilities in professional activity. Neural network technologies solve a problem of realization of the personal focused tutoring from positions of optimum individualization of mathematical education and self-realization of the person. The technology of projection of integrative system of pedagogical monitoring of knowledge of students includes the following stages: establishment of the required tutoring parameters; definition and preparation of input data for realization of integration of fractal and neural network technologies; development of the diagnostic module as a part of the block of an artificial intelligence of ATS, filling of the databases structured by system; start of system for obtaining the forecast. In development of the integrative automated system of pedagogical

  7. Pedagogical Content Knowledge (PCK): Exploring its Usefulness for Science Lecturers in Higher Education

    Science.gov (United States)

    Fraser, Sharon P.

    2016-02-01

    In the past 30 years, pedagogical content knowledge (PCK) frameworks have become important constructs in educational research undertaken in the school education system and a focus for research for curriculum and teacher education researchers. As regards science, PCK research has been plentiful, but thus far, the concept of PCK (significantly enhanced since its proposal) has only been validated in the school context (Kindergarten to Grade 12). Within this environment, however, it has proven to be a very useful construct for understanding teacher practice and contributing to the improvement of teacher education courses. Knowledge about whether PCK is useful as a conceptual framework for science lecturers (teachers) working in higher education is as yet unknown and represents a gap in the research literature; the research outlined here is a first step in exploring its usefulness in this context. This paper provides an analysis of data obtained from semi-structured interviews conducted with nine Australian science university lecturers from various disciplines and levels of seniority and experience of tertiary teaching, as well as an academic developer skilled in facilitating science academics' understanding of pedagogy in higher education. The research aimed to investigate the extent to which one version of a school-based science PCK framework resonated with the pedagogical thinking of university science lecturers and the ways in which it could influence their teaching practice.

  8. Enhancing mathematics teachers' pedagogical content knowledge and skills in Tanzania

    NARCIS (Netherlands)

    Kitta, S.

    2004-01-01

    The study has revealed that the use of a comprehensive, school-based programme, emphasising peer collaboration, can be a promising scenario for professional development of mathematics teachers in Tanzania. Such a comprehensive approach has the potential of supporting teachers with diverse levels of

  9. Technological, Pedagogical, and Content Knowledge (TPACK): An Educational Landscape for Tertiary Science Faculty

    Science.gov (United States)

    Lavadia, Linda

    Earlier studies concluded that technology's strength is in supporting student learning rather than as an instrument for content delivery (Angeli & Valanides, 2014). Current research espouses the merits of the Technological Pedagogical Content Knowledge (TPACK) framework as a guide for educators' reflections about technology integration within the context of content and instructional practice. Grounded by two theoretical frameworks, TPACK (Mishra & Koehler, 2006; 2008) and Rogers' (1983, 1995) theory of diffusion of innovation, the purpose of this mixed-methods research was two-fold: to explore the perceived competencies of tertiary science faculty at higher education institutions with respect to their integration of technology within the constructs of pedagogical practice and content learning and to analyze whether these perceived competencies may serve as predictive factors for technology adoption level. The literature review included past research that served as models for the Sci-TPACK instrument. Twenty-nine professors of tertiary science courses participated in an online Likert survey, and four professors provided in-depth interviews on their TPACK practices. Quantitative analysis of data consisted of descriptive and reliability statistics, calculations of means for each of the seven scales or domains of TPACK, and regression analysis. Open-ended questions on the Likert survey and individual interviews provided recurrent themes of the qualitative data. Final results revealed that the participants integrate technology into pedagogy and content through a myriad of TPACK practices. Regression analysis supported perceived TPACK competencies as predictive factors for technology adoption level.

  10. Official pedagogic identities from South African policy – some implications for mathematics teacher education practice

    Directory of Open Access Journals (Sweden)

    Diane Parker

    2006-10-01

    Full Text Available In South Africa the National Curriculum Statement for Grades 10 – 12 (General: Mathematics (DoE, 2003 together with the Norms and Standards for Educators (DoE, 2000a are key policy documents that provide the official basis for mathematics education reform and for the construction of new pedagogic identities. In this paper I use a framework based on the work of Bernstein (1996, 2000 to theorise the construction of pedagogic identities. I use this to build on Graven’s (2002 description of the new official pedagogic identity of the South African mathematics teacher, and on Adler et al. (2002 and others to raise questions related to teacher knowledge and the challenges  of developing specialist mathematics teacher identities through initial teacher education programmes.

  11. Exploring links between foundation phase teachers’ content knowledge and their example spaces

    Directory of Open Access Journals (Sweden)

    Samantha Morrison

    2013-12-01

    Full Text Available This paper explores two foundation phase teachers’ example spaces (a space in the mind where examples exist when teaching number-related topics in relation to snapshots of their content knowledge (CK. Data was collected during a pilot primary maths for teaching course that included assessments of teacher content knowledge (CK. An analysis of a content-knowledge focused pre-test developed for the larger study indicated a relatively high score for one teacher and a low score for the other. Using Rowland’s (2008 framework, an analysis of classroom practice showed associations between a higher CK and the extent of a teacher’s example space and more coherent connections between different representational forms. Although no hard claims or generalisations of the link between teachers’ example spaces and their level of mathematics content knowledge can be made here, this study reinforces evidence of the need to increase teachers’ CK from a pedagogic perspective in order to raise the level of mathematics teaching and learning in the South African landscape.

  12. Capturing and portraying science student teachers' pedagogical content knowledge through CoRe construction

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    Thongnoppakun, Warangkana; Yuenyong, Chokchai

    2018-01-01

    Pedagogical content knowledge (PCK) is an essential kind of knowledge that teacher have for teaching particular content to particular students for enhance students' understanding, therefore, teachers with adequate PCK can give content to their students in an understandable way rather than transfer subject matter knowledge to learner. This study explored science student teachers' PCK for teaching science using Content representation base methodology. Research participants were 68 4th year science student teachers from department of General Science, faculty of Education, Phuket Rajabhat University. PCK conceptualization for teaching science by Magnusson et al. (1999) was applied as a theoretical framework in this study. In this study, Content representation (CoRe) by Loughran et al. (2004) was employed as research methodology in the lesson preparation process. In addition, CoRe consisted of eight questions (CoRe prompts) that designed to elicit and portray teacher's PCK for teaching science. Data were collected from science student teachers' CoRes design for teaching a given topic and student grade. Science student teachers asked to create CoRes design for teaching in topic `Motion in one direction' for 7th grade student and further class discussion. Science student teachers mostly created a same group of science concepts according to subunits of school science textbook rather than planned and arranged content to support students' understanding. Furthermore, they described about the effect of student's prior knowledge and learning difficulties such as students' knowledge of Scalar and Vector quantity; and calculating skill. These responses portrayed science student teacher's knowledge of students' understanding of science and their content knowledge. However, they still have inadequate knowledge of instructional strategies and activities for enhance student learning. In summary, CoRes design can represented holistic overviews of science student teachers' PCK related

  13. Pedagogical Content Knowledge for World History Teachers: What Is It? How Might Prospective Teachers Develop It?

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    Harris, Lauren McArthur; Bain, Robert B.

    2011-01-01

    This article takes up the question of world history teachers' pedagogical content knowledge by reporting on two separate but related projects. In the first, we briefly discuss an empirical investigation one of the authors conducted into the ways that pre- and in-service world history teachers think about, organize, and make meaning of separate and…

  14. Characterizing the Development of Specialized Mathematical Content Knowledge for Teaching in Algebraic Reasoning and Number Theory

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    Bair, Sherry L.; Rich, Beverly S.

    2011-01-01

    This article characterizes the development of a deep and connected body of mathematical knowledge categorized by Ball and Bass' (2003b) model of Mathematical Knowledge for Teaching (MKT), as Specialized Content Knowledge for Teaching (SCK) in algebraic reasoning and number sense. The research employed multiple cases across three years from two…

  15. South Dakota Middle School Mathematics Teachers' Perceptions of Teaching Competencies

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    Bleecker, Heather A.

    2017-01-01

    This quantitative research study investigates South Dakota middle school (grades 5-8) mathematics teachers' perceptions of teaching competencies including general pedagogical knowledge (GPK) and mathematical pedagogical content knowledge (MPCK). The study also considered how teacher characteristics relate to teacher competencies. The study…

  16. A Case Study of Beginning Science Teachers' Subject Matter (SMK) and Pedagogical Content Knowledge (PCK) of Teaching Chemical Reaction in Turkey

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    Usak, Muhammet; Ozden, Mustafa; Eilks, Ingo

    2011-01-01

    This paper describes a case study focusing on the subject matter knowledge, pedagogical content knowledge, and beliefs about science teaching of student teachers in Turkey at the start of their university education. The topic of interest was that of teaching chemical reactions in secondary chemistry education. A written test was developed which…

  17. Construction of teacher knowledge in context: Preparing elementary teachers to teach mathematics and science

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    Lowery, Maye Norene Vail

    1998-12-01

    The purposes of this study were to further the understanding of how preservice teacher construct teacher knowledge and pedagogical content knowledge of elementary mathematics and science and to determine the extent of that knowledge in a school-based setting. Preservice teachers, university instructors, inservice teachers, and other school personnel were involved in this context-specific study. Evidence of the preservice teachers' knowledge construction (its acquisition, its dimensions, and the social context) was collected through the use of a qualitative methodology. Collected data included individual and group interviews, course documents, artifacts, and preservice teaching portfolios. Innovative aspects of this integrated mathematics and science elementary methods course included standards-based instruction with immediate access to field experiences. Grade-level teams of preservice and inservice teachers planned and implemented lessons in mathematics and science for elementary students. An on-site, portable classroom building served as a mathematics and science teaching and learning laboratory. A four-stage analysis was performed, revealing significant patterns of learning. An ecosystem of learning within a constructivist learning environment was identified to contain three systems: the university system; the school system; and the cohort of learners system. A mega system for the construction of teacher knowledge was revealed in the final analysis. Learning venues were discovered to be the conduits of learning in a situated learning context. Analysis and synthesis of data revealed an extensive acquisition of teacher knowledge and pedagogical content knowledge through identified learning components. Patience, flexibility, and communication were identified as necessities for successful teaching. Learning components included: collaboration with inservice teachers; implementation of discovery learning and hands-on/minds-on learning; small groupwork; lesson planning

  18. Domain knowledge patterns in pedagogical diagnostics

    Science.gov (United States)

    Miarka, Rostislav

    2017-07-01

    This paper shows a proposal of representation of knowledge patterns in RDF(S) language. Knowledge patterns are used for reuse of knowledge. They can be divided into two groups - Top-level knowledge patterns and Domain knowledge patterns. Pedagogical diagnostics is aimed at testing of knowledge of students at primary and secondary school. An example of domain knowledge pattern from pedagogical diagnostics is part of this paper.

  19. Examination of Pre-Service Mathematics Teachers' Knowledge of Teaching Function Concept

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    Tasdan, Berna Tataroglu; Koyunkaya, Melike Yigit

    2017-01-01

    Teaching of mathematics could be improved with teachers who have a strong mathematical knowledge and have an ability to reflect this knowledge on their teaching. Therefore, it is important to develop mathematics teachers' theoretical and pedagogical knowledge. This study was designed to examine pre-service secondary mathematics teachers' (PSMT)…

  20. Learning to Critique and Adapt Science Curriculum Materials: Examining the Development of Preservice Elementary Teachers' Pedagogical Content Knowledge

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    Beyer, Carrie J.; Davis, Elizabeth A.

    2012-01-01

    Teachers often engage in curricular planning by critiquing and adapting existing curriculum materials to contextualize lessons and compensate for their deficiencies. Designing instruction for students is shaped by teachers' ability to apply a variety of personal resources, including their pedagogical content knowledge (PCK). This study…

  1. Predictive Power of Prospective Physical Education Teachers' Attitudes towards Educational Technologies for Their Technological Pedagogical Content Knowledge

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    Varol, Yaprak Kalemoglu

    2015-01-01

    The aim of the research is to determine the predictive power of prospective physical education teachers' attitudes towards educational technologies for their technological pedagogical content knowledge. In this study, a relational research model was used on a study group that consisted of 529 (M[subscript age]=21.49, SD=1.44) prospective physical…

  2. Pedagogical Content Knowledge-Guided Lesson Study: Effects on Teacher Competence and Students’ Achievement in Chemistry

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    John Lou S. Lucenario

    2016-01-01

    Full Text Available This study aimed to investigate the effectiveness of Pedagogical Content Knowledge-Guided Lesson Study (PCKLS as an intervention to develop PCK competencies among teachers and consequently enhance student achievement in terms of conceptual understanding and problem-solving skills. Using quasi-experimental design, teacher competencies and student achievement in the PCKLS group and the conventional group were compared. In the PCKLS group, the intervention involved planning the lesson by the research team, teaching the planned lesson while PCK observations were made by the researcher and another teacher from the group, including a feedback meeting, implementing the improvements in the reteach stage of the lesson study cycle by another teacher from the research team, and, finally, revising lesson plans based on the consolidated suggestions for improvement. Analyses of data showed that there was a significant difference in the science teacher competencies of the PCKLS group teacher respondents compared to those of the conventional group. Also, student respondents showed a significant increase on mean scores in terms of conceptual understanding and problem-solving skills. Therefore, it was concluded that PCKLS was an effective method to develop the teachers’ PCK competencies and student achievement in terms of conceptual understanding and problem solving. This study recommends that this intervention be used across chemistry topics and in other science classes such as Biology, Earth and Environmental Science, Physics, and Mathematics.

  3. Expansion of Biology Teachers' Pedagogical Content Knowledge (PCK) During a Long-Term Professional Development Program

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    Rozenszajn, Ronit; Yarden, Anat

    2014-02-01

    Experienced teachers possess a unique teaching knowledge comprised of an inter-related set of knowledge and beliefs that gives direction and justification to a teacher's actions. This study examined the expansion of two components of pedagogical content knowledge (PCK) of three in-service teachers in the course of a professional development program aimed at designing new teaching and learning materials suggested by the teachers themselves. The research presents an enlargement of previous PCK representations by focusing on a detailed representation of two main PCK domains: teaching and learning, including ten PCK components that emerged in the course of data analysis. This representation enabled revealing the unique PCK held by each teacher and to characterize the expansion of the two components of the participating teachers' PCK during the long-term professional development program. Retention of major parts of the expanded PCK a year after termination of the program implies that designing and implementing new teaching and learning materials based on the teachers' experiences, needs, and knowledge in a workshop format accompanied by biology and science education courses might provide a powerful means for PCK expansion. We recommend that designers of professional development programs be aware of the unique PCK held by each teacher in order to promote meaningful professional development of each teacher. Moreover, the PCK representations that were identified in the course of this study enabled clarifying the "orientation toward teaching science" category of PCK which appears to be unclear in current literature.

  4. Developing a pedagogical problem solving view for mathematics teachers with two reflection programs

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    Bracha KRAMARSKI

    2009-10-01

    Full Text Available The study investigated the effects of two reflection support programs on elementary school mathematics teachers’ pedagogical problem solving view. Sixty-two teachers participated in a professional development program. Thirty teachers were assigned to the self-questioning (S_Q training and thirty two teachers were assigned to the reflection discourse (R_D training. The S_Q program was based on the IMPROVE self-questioning approach which emphasizes systematic discussion along the phases of mathematical or pedagogical problem solving as student and teacher. The R_D program emphasized discussion of standard based teaching and learning principles. Findings indicated that systematic reflection support (S_Q is effective for developing mathematics PCK, and strengthening metacognitive knowledge of mathematics teachers, more than reflection discourse (R_D. No differences were found between the groups in developing beliefs about teaching mathematics in using problem solving view.

  5. Science Teacher Educators' Engagement with Pedagogical Content Knowledge and Scientific Inquiry in Predominantly Paper-Based Distance Learning Programs

    Science.gov (United States)

    Fraser, William J.

    2017-01-01

    This article focuses on the dilemmas science educators face when having to introduce Pedagogical Content Knowledge (PCK) to science student teachers in a predominantly paper-based distance learning environment. It draws on the premise that science education is bound by the Nature of Science (NOS), and by the Nature of Scientific Inquiry (NOSI).…

  6. Student teachers' pedagogical content knowledge for teaching systems thinking: effects of different interventions

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    Rosenkränzer, Frank; Hörsch, Christian; Schuler, Stephan; Riess, Werner

    2017-09-01

    Systems' thinking has become increasingly relevant not only in education for sustainable development but also in everyday life. Even if teachers know the dynamics and complexity of living systems in biology and geography, they might not be able to effectively explain it to students. Teachers need an understanding of systems and their behaviour (content knowledge), and they also need to know how systems thinking can be fostered in students (pedagogical content knowledge (PCK)). But the effective development of teachers' professional knowledge in teaching systems thinking is empirically uncertain. From a larger study (SysThema) that investigated teaching systems thinking, this article reports the effects of the three different interventions (technical course, didactic course and mixed course) in student teachers' PCK for teaching systems thinking. The results show that student teachers' PCK for teaching systems thinking can be promoted in teacher education. The conclusion to be drawn from our findings is that a technically orientated course without didactical aspects seems to be less effective in fostering student teachers' PCK for teaching systems thinking. The results inform educators in enhancing curricula of future academic track and non-academic track teacher education.

  7. Does Knowing More Advanced Mathematics Ensure Effectiveness of Working towards Demonstrating Specialised Mathematical Content Knowledge of Second-Year Pre-Service Teachers?

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    Livy, Sharyn

    2012-01-01

    The theoretical understanding that underpins a teacher's foundation knowledge draws on their common content knowledge (CCK) and influences their mathematics' teaching (Rowland, Turner, Thwaites, & Huckstep, 2009). Teachers who have specialised content knowledge (SCK) demonstrate a unique kind of content knowledge which is more than knowing the…

  8. Complementing Mathematics Teachers’ Horizon Content Knowledge with an Elementary-on-Advanced Aspect

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    Yi-An Cho

    2018-02-01

    Full Text Available Although Ball and her colleagues provided empirical evidence to support the existence of the six sub-domains in mathematical knowledge for teaching (MKT and further explained or defined the majority of these sub-domains, there were few explanations of what horizon content knowledge (HCK embedded in MKT meant and they merely provided ideas about HCK. Many researchers attempted to provide some teaching incidents and exemplification to interpret the construct of HCK. Moreover, they thought teachers’ studies of tertiary mathematics are useful for classroom teaching practice. Their discourse and instantiation of HCK was correspondent with a higher perspective on elementary mathematics mentioned by Felix Klein (1924, but was not entirely coincide with a kind of elementary perspective on advanced knowledge introduced by Ball and Bass (2009. This study lasted 1 years, and data collection included in-depth interviews, classroom observation and video analysis. We provide a shared classroom teaching incidence and illustrations to explain and to describe the construct of HCK. HCK not only is a kind of elementary perspective on advanced mathematical knowledge, but also complements to a higher perspective on elementary mathematics. Furthermore, HCK could be seen as a reciprocal pathway between the elementary and advanced mathematical knowledge.

  9. Examining EFL Teachers' Technological Pedagogical Content Knowledge and the Adoption of Mobile-Assisted Language Learning: A Partial Least Square Approach

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    Hsu, Liwei

    2016-01-01

    This study examines EFL (English as a foreign Language) teachers' technological pedagogical content knowledge (TPACK) and how such knowledge affects the adoption of mobile-assisted language learning (MALL). A total of 158 in-service Taiwanese English teachers were surveyed. Two frameworks were employed to examine latent constructs: TPACK and the…

  10. Examining the Relationship between Technological Pedagogical Content Knowledge (TPACK) and Student Achievement Utilizing the Florida Value-Added Model

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    Farrell, Ivan K.; Hamed, Kastro M.

    2017-01-01

    Utilizing a correlational research design, we sought to examine the relationship between the technological pedagogical content knowledge (TPACK) of in-service teachers and student achievement measured with each individual teacher's Value-Added Model (VAM) score. The TPACK survey results and a teacher's VAM score were also examined, separately,…

  11. Analysis of the Relations among the Components of Technological Pedagogical and Content Knowledge (TPACK): A Structural Equation Model

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    Celik, Ismail; Sahin, Ismail; Akturk, Ahmet Oguz

    2014-01-01

    In the current study, the model of technological pedagogical and content knowledge (TPACK) is used as the theoretical framework in the process of data collection and interpretation of the results. This study analyzes the perceptions of 744 undergraduate students regarding their TPACK levels measured by responses to a survey developed by Sahin…

  12. Teacher Pedagogical Content Knowledge (PCK) and Students’ Reasoning and Wellbeing

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    Widodo, A.

    2017-02-01

    This paper summarizes findings of a study on efforts to improve teachers Pedagogical Content Knowledge and how it affects students’ reasoning and wellbeing. It was found that improvement of teachers’ PCK was not very strong but we managed to develop strategies to facilitate their developments. In the second year, the research was focused on identifying students’ reasoning skills both informal reasoning and formal reasoning. Data showed that students reasoning is relatively low (level 2 of five levels) and they could not construct highly coherence arguments. In addition alternative strategies to promote students’ reasoning were explored. Attempts to support teachers to conduct lessons that facilitate students’ reasoning found that teachers need intensive and continuous support. The study also identifies students’ wellbeing as the impact of improvement of lessons and other activities designed to improve students’ wellbeing. Research on students’ wellbeing is not yet given attention in Indonesian schools although it plays very important roles in students’ academic and nonacademic achievements.

  13. Analysis of a Moodle-Based Training Program about the Pedagogical Content Knowledge of Evolution Theory and Natural Selection

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    Stasinakis, Panagiotis K.; Kalogiannnakis, Michail

    2017-01-01

    In this study we aim to find out whether a training program for secondary school science teachers which was organized based on the model of Pedagogical Content Knowledge (PCK), could improve their individual PCK for a specific scientific issue. The Evolution Theory (ET) and the Natural Selection (NS) were chosen as the scientific issues of…

  14. Teacher- or Learner-Centred? Science Teacher Beliefs Related to Topic Specific Pedagogical Content Knowledge: A South African Case Study

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    Mavhunga, Elizabeth; Rollnick, Marissa

    2016-12-01

    In science education, learner-centred classroom practices are widely accepted as desirable and are associated with responsive and reformed kinds of teacher beliefs. They are further associated with high-quality Pedagogical Content Knowledge (PCK). Topic-Specific Pedagogical Content Knowledge (TSPCK), a version of PCK defined at topic level, is known to enable the transformation of topic content into a form accessible to learners. However, little is known about teacher science beliefs in relation to TSPCK and therefore the nature of likely associated classroom practices. In this study, we investigated the relationship between TSPCK and underlying science teacher beliefs following an intervention targeting the improvement of TSPCK in the topic chemical equilibrium. Sixteen final year pre-service chemistry teachers were exposed to an intervention that explicitly focussed on knowledge for transforming the content of chemical equilibrium using the five knowledge components of TSPCK. A specially designed TSPCK instrument in chemical equilibrium and the Teacher Belief Instrument (TBI) were used to capture written responses in pre- and post-tests. Additional qualitative data was collected from audio-recorded discussions and written responses from an open-ended question asked before and after the intervention. Two key findings emerged from the study. Firstly, the development of TSPCK was linked to shifts in underlying science teacher beliefs in the direction of learner-centred teaching for the majority of pre-service teachers. Secondly, this shift was not evident for all, as for some there was development of TSPCK without a shift from teacher-centred beliefs about science teaching.

  15. Pedagogical action by Physical Education teachers from Rio Grande do Sul Federal Technical Schools

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    Edson Souza de Azevedo

    2008-06-01

    Full Text Available The aim of this study is to describe the pedagogical action taken by Physical Education teachers (n=41 from Rio Grande do Sul Federal Technical High Shools (n=12, contextualizing the pedagogical approaches which guide the pedagogical action. The study was an exploratory descriptive one which analyzed the circumstances of the classes and the teachers’actions. The profile presented by teachers shows the interaction of formative, recreational, sportive conceptions. Daily, activities practiced in schools are mostly related to recreational and sportive games, gymnastics and walks. The pedagogical approaches adopted by teachers are the physical activity approach and the humanist approach. As a conclusion, teachers’pedagogical practice is focused on Physical Education teachers’s valorization as a school curricular content and search for changing their practice in qualified healthy activities.

  16. Mathematics-for-teaching: Insights from the case of annuities

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    Craig Pournara

    2014-11-01

    Full Text Available Shulman’s notations of subject matter knowledge (SMK and pedagogical content knowledge (PCK have been very influential in education research on teachers’ knowledge for teaching. However, there is little empirical evidence in support of these as separate analytical constructs. Furthermore, attempts to distinguish SMK and PCK highlight the complex and multidimensional nature of teachers’ knowledge and hence the difficulty of separating SMK and PCK. The author adopts the notion of mathematics-for-teaching (MfT and argues that teachers’ knowledge for teaching annuities comprises knowledge of mathematical aspects, knowledge of pedagogical aspects and contextual knowledge of finance. Drawing from a larger study in which the author taught a financial mathematics course to pre-service secondary mathematics teachers, four examples of teachers’ knowledge for teaching annuities are identified, each of which illustrates how knowledge of mathematics, knowledge of pedagogy and contextual knowledge of finance are intertwined.

  17. The Integration of technology in teaching mathematics

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    Muhtadi, D.; Wahyudin; Kartasasmita, B. G.; Prahmana, R. C. I.

    2017-12-01

    This paper presents the Transformation of Technological Pedagogical and Content Knowledge (TPACK) of three pre-service math teacher. They participate in technology-based learning modules aligned with teaching practice taught school and became characteristic of teaching method by using the mathematical software. ICT-based learning environment has been the demands in practice learning to build a more effective approach to the learning process of students. Also, this paper presents the results of research on learning mathematics in middle school that shows the influence of design teaching on knowledge of math content specifically.

  18. Developing and Enacting Pedagogical Content Knowledge for Teaching History: An Exploration of Two Novice Teachers' Growth over Three Years

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    Monte-Sano, Chauncey; Budano, Christopher

    2013-01-01

    Using artifacts of teachers' practices, classroom observations, and teacher interviews, we explore the development and enactment of 2 novices' pedagogical content knowledge (PCK) for teaching history. We identify and track 4 components of PCK that are relevant to teaching history: representing history, transforming history, attending to students'…

  19. The Role of the Mathematics Supervisor in K-12 Education

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    Greenes, Carole

    2013-01-01

    The implementation of "the Common Core Standards for Mathematics" and the assessments of those concepts, skills, reasoning methods, and mathematical practices that are in development necessitate the updating of teachers' knowledge of content, pedagogical techniques to enhance engagement and persistence, and strategies for responding to…

  20. Enhancing the prospective biology teachers’ Pedagogical Content Knowledge (PCK) through a peer coaching based model

    Science.gov (United States)

    Anwar, Yenny

    2018-05-01

    This paper presents the results of implementation Peer Coaching Based Model that was implemented in development and Packaging Learning Tool program aimed at developing a Pedagogical Content Knowledge prospective teachers’ capabilities. Development and Packaging Learning Tool is a training program that applies various knowledge, attitude, and skill of students in order to form professional teacher. A need assessment was conducted to identify prospective teachers’ professional needs, especially PCK ability. Tests, questionnaires, interviews, field notes and video recordings were used in this research. The result indicated that the ability of Prospective teachers’ PCK has increased. This can be shown from the N-Gain that included in the medium category. This increase shows that there is integration of pedagogy and content; they have used varied strategies and can explain the reasons for its used. This means that the pattern belongs to the lower limit of the growing- PCK category. It is recommended to use peer coaching model during peer teaching.

  1. Transformation of topic-specific professional knowledge into personal pedagogical content knowledge through lesson planning

    Science.gov (United States)

    Stender, Anita; Brückmann, Maja; Neumann, Knut

    2017-08-01

    This study investigates the relationship between two different types of pedagogical content knowledge (PCK): the topic-specific professional knowledge (TSPK) and practical routines, so-called teaching scripts. Based on the Transformation Model of Lesson Planning, we assume that teaching scripts originate from a transformation of TSPK during lesson planning: When planning lessons, teachers use their TSPK to create lesson plans. The implementation of these lesson plans and teachers' reflection upon them lead to their improvement. Gradually, successful lesson plans are mentally stored as teaching scripts and can easily be retrieved during instruction. This process is affected by teacher's beliefs, motivation and self-regulation. In order to examine the influence of TSPK on teaching scripts as well as the moderating effects of beliefs, motivation and self-regulation, we conducted a cross-sectional study with n = 49 in-service teachers in physics. The TSPK, beliefs, motivation, self-regulation and the quality of teaching scripts of in-service teachers were assessed by using an online questionnaire adapted to teaching the force concept and Newton's law for 9th grade instruction. Based on the measurement of the quality of teaching scripts, the results provide evidence that TSPK influences the quality of teaching scripts. Motivation and self-regulation moderate this influence.

  2. Using Multiple Lenses to Examine the Development of Beginning Biology Teachers' Pedagogical Content Knowledge for Teaching Natural Selection Simulations

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    Sickel, Aaron J.; Friedrichsen, Patricia

    2018-01-01

    Pedagogical content knowledge (PCK) has become a useful construct to examine science teacher learning. Yet, researchers conceptualize PCK development in different ways. The purpose of this longitudinal study was to use three analytic lenses to understand the development of three beginning biology teachers' PCK for teaching natural selection…

  3. Development and Nature of Preservice Chemistry Teachers' Pedagogical Content Knowledge for Nature of Science

    Science.gov (United States)

    Demirdöğen, Betül; Hanuscin, Deborah L.; Uzuntiryaki-Kondakci, Esen; Köseoğlu, Fitnat

    2016-08-01

    The purpose of this case study is to delve into the complexities of the early development of preservice chemistry teachers' science teaching orientations, knowledge of learners, knowledge of instructional strategies, and knowledge of assessment during a two-semester intervention designed to enhance their pedagogical content knowledge (PCK) for teaching nature of science (NOS). Thirty preservice chemistry teachers enrolled in a Research in Science Education course participated in the study. Qualitative data sources included responses to an open-ended instrument, interviews, observations, and artifacts such as lesson plans and reflection papers. Through the in-depth analysis of explicit PCK and constant comparative method of analysis, we identified the influence of the intervention on participants' PCK for NOS. Analysis of data revealed four major themes related to the nature of preservice chemistry teachers' NOS teaching practices and their PCK for NOS: (1) prerequisite knowledge and beliefs are necessary to teach NOS, (2) there is a developmental progression of PCK for NOS from knowledge to application level, (3) teachers need some comfort in their NOS understanding to teach NOS, and (4) the higher integration of PCK components leads to successful NOS teaching practices. Implications for science teacher education and research are discussed.

  4. [The pedagogical practice of nursing teachers and their knowledge].

    Science.gov (United States)

    Madeira, Maria Zélia de Araújo; Lima, Maria da Glória Soares Barbosa

    2007-01-01

    This article has as objectives investigate the faculty knowledge that embase the pedagogical practice of the nursing-professors, glimpsing to understand the meaning of this social practice in what it refers to the process to become a professional professor. The qualitative nature study, with methodological emphasis in verbal story, used as instruments of data collection semi-arranged interviews, and the data analysis starting from the content analysis. Among the results obtained from the analysis, it has proven that the faculty knowledge and the pedagogical practice positively incises for the consolidation of the process to become professional professor in the scope of the faculty in the nursing course at UFPI.

  5. Exploring Teachers' Perceived Self Efficacy and Technological Pedagogical Content Knowledge with Respect to Educational Use of the World Wide Web

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    Lee, Min-Hsien; Tsai, Chin-Chung

    2010-01-01

    Research in the area of educational technology has claimed that Web technology has driven online pedagogy such that teachers need to know how to use Web technology to assist their teaching. This study provides a framework for understanding teachers' Technological Pedagogical Content Knowledge-Web (TPCK-W), while integrating Web technology into…

  6. Mathematics teachers' knowledge of the subject content and ...

    African Journals Online (AJOL)

    This paper discusses the need of the mathematics teacher to be equipped adequately in the content areas in mathematics, vis-a-vis the recent concerns about the poor performance of students in the pre-tertiary schools, and the competence of mathematics teachers in the field. The low performance in mathematics at the ...

  7. CONTRIBUIÇÕES DE GRUPO DE ESTUDOS SOBRE MATEMÁTICA EM CONHECIMENTOS DE PROFESSORAS. CONTRIBUTIONS OF A MATHEMATICS STUDY GROUP FOR TEACHING KNOWLEDGE

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    Silva, Sandra Aparecida Fraga da

    2012-05-01

    participated. In this group, the teachers respected each other, listened and were listened in their victories and anxieties, gave opinion, proposed ideas and contributed for the construction of different knowledge. This behavior influenced the teachers’ learning and attitudes towards mathematics, and this resonated in their classroom practices. We got evidences of improvement and learning of two sorts of knowledge: of mathematics content and of pedagogical mathematics. From the mathematical content knowledge learned we highlight problem solving involving the four operations. And from the pedagogical mathematical knowledge we highlight what was evidenced in actions in the study group. We noticed that a different work with in-service teacher training in context, in a group where we had a peer critical environment, influenced and involved all its members.

  8. Middle-School Teachers' Understanding and Teaching of the Engineering Design Process: A Look at Subject Matter and Pedagogical Content Knowledge

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    Hynes, Morgan M.

    2012-01-01

    This paper reports on research investigating six middle school teachers without engineering degrees as they taught an engineering unit on the engineering design process. Videotaped classroom sessions and teacher interviews were analyzed to understand the subject matter and pedagogical content knowledge the teachers used and developed as they…

  9. Knowing and Teaching Fractions: A Cross-Cultural Study of American and Chinese Mathematics Teachers

    Science.gov (United States)

    Zhou, Zheng; Peverly, Stephen T.; Xin, Tao

    2006-01-01

    Guided by Shulman, 1986 and Shulman, 1987 tripartate model of teacher expertise [subject matter knowledge (SMK), pedagogical content knowledge (PCK), and general pedagogical knowledge (GPK)], the present study examined 162 U.S. and Chinese 3rd grade mathematics teachers' expertise in teaching fractions. Results show that U.S. teachers lag…

  10. Connecting Biology and Mathematics: First Prepare the Teachers

    Science.gov (United States)

    2010-01-01

    Developing the connection between biology and mathematics is one of the most important ways to shift the paradigms of both established science disciplines. However, adding some mathematic content to biology or biology content to mathematics is not enough but must be accompanied by development of suitable pedagogical models. I propose a model of pedagogical mathematical biological content knowledge as a feasible starting point for connecting biology and mathematics in schools and universities. The process of connecting these disciplines should start as early as possible in the educational process, in order to produce prepared minds that will be able to combine both disciplines at graduate and postgraduate levels of study. Because teachers are a crucial factor in introducing innovations in education, the first step toward such a goal should be the education of prospective and practicing elementary and secondary school teachers. PMID:20810951

  11. Connecting biology and mathematics: first prepare the teachers.

    Science.gov (United States)

    Sorgo, Andrej

    2010-01-01

    Developing the connection between biology and mathematics is one of the most important ways to shift the paradigms of both established science disciplines. However, adding some mathematic content to biology or biology content to mathematics is not enough but must be accompanied by development of suitable pedagogical models. I propose a model of pedagogical mathematical biological content knowledge as a feasible starting point for connecting biology and mathematics in schools and universities. The process of connecting these disciplines should start as early as possible in the educational process, in order to produce prepared minds that will be able to combine both disciplines at graduate and postgraduate levels of study. Because teachers are a crucial factor in introducing innovations in education, the first step toward such a goal should be the education of prospective and practicing elementary and secondary school teachers.

  12. An approach critical in mathematics education: Opportunities and interaction theory-practice-through critical mathematics education

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    Itamar Miranda da Silva

    2011-06-01

    Full Text Available This paper discusses the possibilities of articulation of theory-and-practice in the teaching, by means of critical mathematics education as a proposal for the teacher facing the challenges of daily life in the classroom. The discussion is based on the literature through which was estudied and analyzed several books, articles and dissertations on the subject, as well as our experiences and reflections resulting from the process of teacher education we experienced. From the readings and analysis was possible to construct a teaching proposal that suggests to address critical mathematics education as an alternative link between theory and practice and to assign to the teaching of mathematics a greater dynamism, with the prospect of developing knowledge and pedagogical practices that contribute to a broader training, which prepares for citizenship and for being critical students and teachers in the training process. Conjectures were raised about possible contributions of critical mathematics education as a differentiated alternative as opposed to reproductivist teaching. We believe therefore that this article could help with the reflections on the importance of mathematics education in teacher education which enables the realization that beyond disciplinary knowledge (content, are necessary pedagogical knowledge, curriculum and experiential to address the problems that relate to the teaching of mathematics

  13. The Nature of the Interplay among Components of Pedagogical Content Knowledge in Reaction Rate and Chemical Equilibrium Topics of Novice and Experienced Chemistry Teachers

    Science.gov (United States)

    Akin, Fatma Nur; Uzuntiryaki-Kondakci, Esen

    2018-01-01

    We examined the interactions among pedagogical content knowledge (PCK) components of novice and experienced chemistry teachers in teaching reaction rate and chemical equilibrium topics in this qualitative multiple-case design study. For this aim, three chemistry teachers who had different levels of teaching experience in chemistry teaching were…

  14. Exploring one aspect of pedagogical content knowledge of teaching assistants using the test of understanding graphs in kinematics

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    Alexandru Maries

    2013-11-01

    Full Text Available The Test of Understanding Graphs in Kinematics (TUG-K is a multiple-choice test developed by Beichner in 1994 to assess students’ understanding of kinematics graphs. Many of the items on the TUG-K have strong distractor choices which correspond to students’ common difficulties with kinematics graphs. Instruction is unlikely to be effective if instructors do not know the common difficulties of introductory physics students and explicitly take them into account in their instructional design. We evaluate one aspect of the pedagogical content knowledge of first-year physics graduate students enrolled in a teaching assistant training course related to topics covered in the TUG-K. In particular, for each item on the TUG-K, the graduate students were asked to identify which incorrect answer choice they thought would be most commonly selected by introductory physics students if they did not know the correct answer after instruction in relevant concepts. We used the graduate student data and the data from Beichner’s original paper for introductory physics students (which was collected from over 500 college and high school students to assess this aspect of the pedagogical content knowledge of the graduate students, i.e., knowledge of student difficulties related to kinematics graphs as they are revealed by the TUG-K. We find that, although the graduate students, on average, performed better than random guessing at identifying introductory student difficulties on the TUG-K, they did not identify many common difficulties that introductory students have with graphs in kinematics. In addition, we find that the ability of graduate students to identify the difficulties of introductory students is context dependent and that discussions among the graduate students improved their understanding of student difficulties related to kinematics graphs. Moreover, we find that the ability of American graduate students in identifying common student difficulties is

  15. The Nature of Relationships among the Components of Pedagogical Content Knowledge of Preservice Science Teachers: "Ozone Layer Depletion" as an Example

    Science.gov (United States)

    Kaya, Osman N.

    2009-01-01

    The purpose of this study was to explore the relationships among the components of preservice science teachers' (PSTs) pedagogical content knowledge (PCK) involving the topic "ozone layer depletion". An open-ended survey was first administered to 216 PSTs in their final year at the Faculty of Education to determine their subject matter…

  16. Knowledge construction in the classroom: a meaningful pedagogical dialogue

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    Jesuína Lopes de Almeida Pacca

    2015-12-01

    Full Text Available Teacher’s performance at their real classroom was analyzed in regard to the applied pedagogical interaction. These teachers were participating in a long range continuous formation course that uses the strategy of analyzing pedagogical planning while it was being elaborated , applied and continuously evaluated by the teacher; the course aimed to the construction of professional competence with an adequate sight of the classroom interaction, within constructivist parameters. The teacher pedagogical planning was the study object: it was discussed continuously by the peers group and the coordinator who intended to point out to the explicit pedagogical content and to the content objectives that were declared for every class plan. The learning objectives and the procedures contained within it were confronted with the real evidence of learning. In these discussions learning concepts that were coherent with constructivism were invoked in addition to science contents and their nature. Dialogue was important in these discussions and stressed as a means for teaching and continuous evaluation. In this dynamical process, the teacher planning was being constantly redrafted, changing the adjustment of that classroom students to the planned knowledge acquisition. This course dynamics, led by the coordinator, intended to be reproduced by participants with their students, at least in part. We noticed surprising results in these teachers professional development besides those that were concretely planned: the transference of the course procedures to the classroom seems to happen in regard to the presence of dialogue but the most meaningful part was individual and particular progress that was included in the development of their classes and led to an improvement of abilities. We concluded that unexpected results can be converted into poles of professional performance growth and performance evolution . These results have led us to give special importance to the

  17. The Relationship between Agriculture Knowledge Bases for Teaching and Sources of Knowledge

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    Rice, Amber H.; Kitchel, Tracy

    2015-01-01

    The purpose of this study was to describe the agriculture knowledge bases for teaching of agriculture teachers and to see if a relationship existed between years of teaching experience, sources of knowledge, and development of pedagogical content knowledge (PCK), using quantitative methods. A model of PCK from mathematics was utilized as a…

  18. Making Culturally Responsive Mathematics Teaching Explicit: A Lesson Analysis Tool

    Science.gov (United States)

    Aguirre, Julia M.; Zavala, Maria del Rosario

    2013-01-01

    In the United States, there is a need for pedagogical tools that help teachers develop essential pedagogical content knowledge and practices to meet the mathematical education needs of a growing culturally and linguistically diverse student population. In this article, we introduce an innovative lesson analysis tool that focuses on integrating…

  19. Pre-service Teacher Extraneous Cognitive Load in the Pedagogical Content and Knowledge of Solar System Course

    Science.gov (United States)

    Permana, I.; Redjeki, S.; Hamidah, I.; Safitri, N.

    2017-09-01

    This study reported the student’s Extraneous Cognitive Load (ECL) in the Pedagogical Content and Knowledge of solar system Course. Participants in the study were 31 pre-service elementary school teachers from the university in Bogor Indonesia. The data collected from ECL were obtained using a Likert 4-scale questionnaire and interview. After taking lectures, we asked for some mental effort from pre-service elementary school teachers to attend courses in order to assess the ECL. The courses include 3 topics and they were non-experimental worksheet, developing experimental worksheet using Vee Diagram framework, and analysis for curriculum by grade IV, V and VI. Results of the data analysis showed that the course strategy resulted by ECL was relatively low. The ECL increased in the course of curriculum analysis due to material complexity.

  20. Learning About Semi Conductors for Teaching—the Role Played by Content Knowledge in Pedagogical Content Knowledge (PCK) Development

    Science.gov (United States)

    Rollnick, Marissa

    2017-08-01

    This study focuses on how teachers learn to teach a new topic and the role played by their developing content knowledge as they teach. The paper is based on seven high school science teachers' studies on the teaching of semiconductors, at the time a new topic in the curriculum. Analysis of artefacts such as teacher concept maps, video recordings of lessons, journals and other classroom-based evidence shows how the extent and type of teachers' content knowledge informed their choice of teaching approaches and how their learning of content took place alongside the development of teaching strategies. The development of content knowledge was combined with increased understanding of how to teach the topic in almost all cases. Evidence of development of teachers' PCK was found in their increased ability to design teaching strategies, and their use of representations and suitable assessment tasks for their lessons. Some specific common teaching strategies were identified across the teachers. These strategies could add to the canon of teachers' topic - specific professional knowledge for semiconductors. The study provides increased understanding of how teachers simultaneously master content and its teaching and how mediated self-reflection is a fruitful approach for assisting teachers to learn to teach a new topic.

  1. A multidimensional approach to training mathematics students at a university: improving the efficiency through the unity of social, psychological and pedagogical aspects

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    Kuznetsova, Elena; Matytcina, Marina

    2018-04-01

    The article deals with social, psychological and pedagogical aspects of teaching mathematics students at universities. The sociological portrait and the factors influencing a career choice of a mathematician have been investigated through the survey results of 198 first-year students of applied mathematics major at 27 state universities (Russia). Then, psychological characteristics of mathematics students have been examined based on scientific publications. The obtained results have allowed us to reveal pedagogical conditions and specific ways of training mathematics students in the process of their education at university. The article also contains the analysis of approaches to the development of mathematics education both in Russia and in other countries. The results may be useful for teaching students whose training requires in-depth knowledge of mathematics.

  2. Process Mediates Structure: The Relation between Preschool Teacher Education and Preschool Teachers' Knowledge

    Science.gov (United States)

    Blömeke, Sigrid; Jenßen, Lars; Grassmann, Marianne; Dunekacke, Simone; Wedekind, Hartmut

    2017-01-01

    Data about processes and outcomes of preschool teacher education is scarce. This paper examines the opportunities to learn (OTL) of prospective preschool teachers (N = 1,851) at different types and stages of preschool teacher education and their relation to general pedagogical knowledge (GPK), mathematics pedagogical content knowledge (MPCK), and…

  3. Prospective Secondary Mathematics Teachers' Perspectives and Mathematical Knowledge for Teaching

    Science.gov (United States)

    Karagöz-Akar, Gülseren

    2016-01-01

    This study investigated the relationship between prospective secondary mathematics teachers' perspectives and their mathematical knowledge for teaching in action. Data from two prospective teachers' practice-teachings, one in geometry and one in algebra, their lesson plans and self-reflections were analyzed with Teacher Perspectives and Knowledge…

  4. Children’s Sensitivity to the Knowledge Expressed in Pedagogical and Non-Pedagogical Contexts

    Science.gov (United States)

    Gelman, Susan A.; Ware, Elizabeth A.; Manczak, Erika M.; Graham, Susan A.

    2013-01-01

    The present studies test two hypotheses: (1) that pedagogical contexts especially convey generic information (Csibra & Gergely, 2009), and (2) that young children are sensitive to this aspect of pedagogy. We examined generic language (e.g., “Elephants live in Africa”) in three studies, focusing on: informational versus narrative children’s books (Study 1), the language of 6-year-old children and adults assuming either a pedagogical (teacher) or non-pedagogical (friend) role (Study 2), and the language of 5-year-old children and adults speaking to either an ignorant alien (pedagogical context) or a peer (non-pedagogical context; Study 3). Results suggest that generics are more frequent in informational than narrative texts. Furthermore, both adults and young children provide more generic language in pedagogical contexts and when assuming a pedagogical role. Together, the studies demonstrate that pedagogical contexts are distinctive in conveying generic information, and that children are sensitive to this aspect of the language input. We suggest that generic knowledge is more useful in making predictions about the future, and thus more highly valued during instruction. PMID:22468565

  5. A case study of pedagogy of mathematics support tutors without a background in mathematics education

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    Walsh, Richard

    2017-01-01

    This study investigates the pedagogical skills and knowledge of three tertiary-level mathematics support tutors in a large group classroom setting. This is achieved through the use of video analysis and a theoretical framework comprising Rowland's Knowledge Quartet and general pedagogical knowledge. The study reports on the findings in relation to these tutors' provision of mathematics support to first and second year undergraduate engineering students and second year undergraduate science students. It was found that tutors are lacking in various pedagogical skills which are needed for high-quality learning amongst service mathematics students (e.g. engineering/science/technology students), a demographic which have low levels of mathematics upon entering university. Tutors teach their support classes in a very fast didactic way with minimal opportunities for students to ask questions or to attempt problems. It was also found that this teaching method is even more so exaggerated in mandatory departmental mathematics tutorials that students take as part of their mathematics studies at tertiary level. The implications of the findings on mathematics tutor training at tertiary level are also discussed.

  6. The Correlation between Prospective Teachers' Knowledge of Algebraic Inverse Operations and Teaching Competency--Using the Square Root as an Example

    Science.gov (United States)

    Leung, Issic Kui Chiu; Ding, Lin; Leung, Allen Yuk Lun; Wong, Ngai Ying

    2016-01-01

    This study is part of a larger study investigating the subject matter knowledge and pedagogical content knowledge of Hong Kong prospective mathematics teachers, the relationship between the knowledge of algebraic operation and its inverse, and their teaching competency. In this paper, we address the subject matter knowledge and pedagogical content…

  7. Clinical teachers' tacit knowledge of basic pedagogic principles.

    Science.gov (United States)

    McLeod, P J; Meagher, T; Steinert, Y; Schuwirth, L; McLeod, A H

    2004-02-01

    Academic faculty members in medical schools rarely receive formal instruction in basic pedagogic principles; nevertheless many develop into competent teachers. Perhaps they acquire tacit knowledge of these principles with teaching experience. This study was designed to assess clinical teachers' tacit knowledge of basic pedagogic principles and concepts. The authors developed a multiple-choice question (MCQ) exam based on 20 pedagogic principles judged by a panel of education experts to be important for clinical teaching. Three groups of clinician-educators sat the test: (1) clinicians with advanced education training and experience; (2) internal medicine specialists; (3) surgical specialists. All four groups of clinicians-educators passed the test, indicating that they possess a reasonable tacit knowledge of basic pedagogic principles. Those with advanced education training performed much better than members of the other two groups while specialists and residents working in teaching hospitals outperformed specialists from non-teaching hospitals. It is possible that converting this tacit knowledge to explicit knowledge may improve individual teaching effectiveness.

  8. How Preservice Teachers Use Children’s Literature to Teach Mathematical Concepts: Focus on Mathematical Knowledge for Teaching

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    Jennifer EDELMAN

    2017-06-01

    Full Text Available This descriptive study examines the elements of mathematical knowledge for teaching (MKT that elementary teacher candidates exhibit as they plan, teach, and reflect on a mathematics lesson that integrates children’s literature. Data for this study were gathered from observations and written work of preservice elementary teacher candidates enrolled in a methods of teaching mathematics course. The data were analyzed using three criteria: that of knowledge of content and students, knowledge of content and teaching, and knowledge of content and curriculum. The findings suggest a need for further development of teacher candidates’ ability to identify and locate mathematical concepts in children’s literature, as well as the need for supporting teacher candidates’ critical analysis of curricular materials and mathematical representations in children’s literature.

  9. How preservice teachers use children’s literature to teach mathematical concepts: Focus on mathematical knowledge for teaching

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    Jennifer Edelman

    2017-06-01

    Full Text Available This descriptive study examines the elements of mathematical knowledge for teaching (MKT that elementary teacher candidates exhibit as they plan, teach, and reflect on a mathematics lesson that integrates children’s literature. Data for this study were gathered from observations and written work of preservice elementary teacher candidates enrolled in a methods of teaching mathematics course. The data were analyzed using three criteria: that of knowledge of content and students, knowledge of content and teaching, and knowledge of content and curriculum. The findings suggest a need for further development of teacher candidates’ ability to identify and locate mathematical concepts in children’s literature, as well as the need for supporting teacher candidates’ critical analysis of curricular materials and mathematical representations in children’s literature.

  10. Eliciting teachers' technological pedagogical knowledge

    NARCIS (Netherlands)

    Heitink, M.; Voogt, J.; Fisser, P.; Verplanken, L.; Braak, J.

    2017-01-01

    This paper starts from the understanding that teachers' knowledge is situated, grounded in knowledge derived from formal training and from experiences in practice. Based on this understanding we examine teachers' reasoning in relation to the pedagogical choices teachers make while using ICT in

  11. Preschool Teachers' Sensitivity to Mathematics in Children's Play: The Influence of Math-Related School Experiences, Emotional Attitudes, and Pedagogical Beliefs

    Science.gov (United States)

    Anders, Yvonne; Rossbach, Hans-Günther

    2015-01-01

    Without a doubt, math-related pedagogical content knowledge (PCK), pedagogical beliefs, and emotional attitudes are considered important dimensions of preschool teachers' professional competence. This research, however, documents that they are still understudied. This study focuses on certain aspects of the described dimensions: the sensitivity…

  12. Refracting Schoolgirls: Pedagogical Intra-Actions Producing Shame

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    Wolfe, Melissa Joy

    2017-01-01

    This article contributes to the discussion of gender inequality in schools with the central theme tracing ways that pedagogical affect im/mobilises agency. I argue that what I call "the schoolgirl affect," as distinctly gendered pedagogical practices in schools, constitute a schoolgirl body that refracts capacity for action in particular…

  13. Rwandan grade 6 mathematics teachers' knowledge

    African Journals Online (AJOL)

    owner

    1University Rwanda, College of Education, 2 School of Education, University of .... one hand, and Knowledge of Content and Students (KCS) and Knowledge of Content and ..... The nature and development of middle school mathematics ... of freshman science student teachers from different science teaching domains.

  14. The influence of secondary science teachers' pedagogical content knowledge, educational beliefs and perceptions of the curriculum on implementation and science reform

    Science.gov (United States)

    Bonner, Portia Selene

    2001-07-01

    Science education reform is one of the focal points of restructuring the educational system in the United States. However, research indicates a slow change in progression towards science literacy among secondary students. One of the factors contributing to slow change is how teachers implement the curriculum in the classroom. Three constructs are believed to be influential in curriculum implementation: educational beliefs, pedagogical knowledge and perception of the curriculum. Earlier research suggests that there is a strong correlation between teachers' educational beliefs and instructional practices. These beliefs can be predictors of preferred strategies employed in the classroom. Secondly, teachers' pedagogical knowledge, that is the ability to apply theory and appropriate strategies associated with implementing and evaluating a curriculum, contributes to implementation. Thirdly, perception or how the curriculum itself is perceived also effects implementation. Each of these constructs has been examined independently, but never the interplay of the three. The purpose of this qualitative study was to examine the interplay of teachers' educational beliefs, pedagogical content knowledge and perceptions of a science curriculum with respect to how these influence curriculum implementation. This was accomplished by investigating the emerging themes that evolved from classroom observations, transcripts from interview and supplementary data. Five high school biology teachers in an urban school system were observed for ten months for correspondence of teaching strategies to the curriculum. Teachers were interviewed formally and informally about their perceptions of science teaching, learning and the curriculum. Supplementary material such as lesson plans, course syllabus and notes from classroom observations were collected and analyzed. Data were transcribed and analyzed for recurring themes using a thematic matrix. A theoretical model was developed from the emerging

  15. Developing a Scale to Measure Content Knowledge and Pedagogy Content Knowledge of In-Service Elementary Teachers on Fractions

    Science.gov (United States)

    Kazemi, Farhad; Rafiepour, Abolfazl

    2018-01-01

    The main purpose of this study was to develop a scale for measuring content knowledge (CK) and pedagogy content knowledge (PCK) of in-service elementary teachers on mathematical fractions. Another aim of this study was to consider whether CK and PCK are separate from each other, or are in a single body. Therefore, a scale containing 22 items about…

  16. Coğrafya Öğretmenlerinin Teknolojik Pedagojik Alan Bilgisi İle İlgili Yeterliliklerinin İncelenmesi / Examining the Skills of Geography Teachers’ Technological Pedagogical Content Knowledge

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    Esengül Doğru

    2017-04-01

    Full Text Available Abstract The main purpose of this research was to determine the competencies of technological pedagogical content knowledge (TPCK of geography teachers and to examine whether these competencies differed significantly according to various variables. The study included a total of a total of 42 geography teachers employed in Karabuk city centre and its districts in 20015-2015 education year. The data of the study was gathered though Technological Pedagogical Content Knowledge (TPCK developed by Pamuk, Ergun, Çakır, Yılmaz ve Ayas (2012. Frequency and percentage values along with Kolmogorov-Smirnov (K-S test, Mann Whitney U test and Kruskal Wallis H test were used to analyse the data of the current study. The results of the study revealed that the technological pedagogical content knowledge of geography teachers was not enough. Results also demonstrated the level of geography teachers’ technological pedagogical content knowledge did not differ significantly according to their skills and knowledge at using technology, seniority, education level and gender. Content Knowledge is one of the subscales of TPCK that geography teachers had the highest level of knowledge. Furthermore, the level of technological content knowledge of geography teachers was higher than that of technological pedagogical knowledge. The results of the study were discussed in line with the related literature and some suggestions were made.  Öz Bu araştırmanın temel amacı, Coğrafya öğretmenlerinin Teknolojik Pedagojik Alan Bilgisi (TPAB yeterliliklerinin tespit edilmesi ve bu yeterliliklerin çeşitli değişkenlere göre farklılık gösterip göstermediğinin incelenmesidir. Çalışmaya, 2015-2016 eğitim öğretim yılında Karabük il merkezi ve ilçelerinde görev yapmakta olan toplam 42 Coğrafya öğretmeni katılmıştır. Veri toplama aracı olarak, araştırmanın nicel kısmı için ölçme aracı olarak Pamuk, Ergun, Çakır, Yılmaz ve Ayas (2012 taraf

  17. Educative Mentoring: How a Mentor Supported a Preservice Biology Teacher's Pedagogical Content Knowledge Development

    Science.gov (United States)

    Barnett, Ellen; Friedrichsen, Patricia J.

    2015-11-01

    Research suggests discipline-specific, educative mentoring can help preservice teachers develop more sophisticated pedagogical content knowledge (PCK). However, there are few studies examining the nature of mentors' practice and how mentors influence preservice teacher's (PST) PCK. The purpose of this case study was to describe the strategies used by a secondary biology mentor teacher to support the development of a PST's PCK. The primary data sources were the transcripts of audio-recorded, daily meetings between the mentor and the PST during two curriculum units: DNA/Protein Synthesis and Evolution. The mentor influenced the PST's teaching orientation by repeatedly comparing teacher- and student-centered approaches, asking him to consider how students learn, and asking him to self-assess whether his instruction aligned with his teaching beliefs. The mentor helped the PST develop topic-specific knowledge of instructional strategies by sharing strategies she used previously, modeling critical reflection, and inviting him to critically reflect on his own instructional strategies. Topic-specific knowledge of students' understanding of science was developed by discussing common student misconceptions revealed in students' conversations and by sharing the results of test-item analysis from previous unit tests. The mentor helped develop the PST's topic-specific knowledge of assessment by helping him critically analyze and revise previous examinations to better align with the current curriculum units. Topic-specific knowledge of curricula was developed by jointly grappling with decisions about concept sequencing within units. The study includes implications for research, science teacher education, and professional development for mentors.

  18. Characterising the Perceived Value of Mathematics Educational Apps in Preservice Teachers

    Science.gov (United States)

    Handal, Boris; Campbell, Chris; Cavanagh, Michael; Petocz, Peter

    2016-01-01

    This study validated the semantic items of three related scales aimed at characterising the perceived worth of mathematics-education-related mobile applications (apps). The technological pedagogical content knowledge (TPACK) model was used as the conceptual framework for the analysis. Three hundred and seventy-three preservice students studying…

  19. Pharmacy Educator Motives to Pursue Pedagogical Knowledge.

    Science.gov (United States)

    Baia, Patricia; Strang, Aimee F

    2016-10-25

    Objective. To investigate motives of pharmacy educators who pursue pedagogical knowledge through professional development programs and to develop a model of motivation to inform future development. Methods. A mixed-methods approach was used to study both qualitative and quantitative data. Written narratives, postmodule quizzes, and survey data were collected during a 5-year period (2010-2014) from pharmacy educators who participated in an online professional development program titled Helping Educators Learn Pedagogy (HELP). Grounded theory was used to create a model of motivation for why pharmacy educators might pursue pedagogical knowledge. Results. Participants reported being driven intrinsically by a passion for their own learning (self-centered motivation) and by the need to improve student learning (student-centered motivation) and extrinsically by program design, funding, and administrator encouragement. Conclusion. A new model of pharmacy educator motivation to pursue pedagogy knowledge, Pedagogical Knowledge Acquisition Theory (PKAT), emerged as a blended intrinsic and extrinsic model, which may have value in developing future professional development programs.

  20. Pedagogic workshops: assembling strategies for academician action – experience of report

    Directory of Open Access Journals (Sweden)

    Maristella Santos Nascimento

    2007-01-01

    Full Text Available The formation of professional nurses requests the most efficient teaching which confers him competence in achievement of activities of aid, managing, teaching and investigation. In this perspective the pedagogic workshops consist of alternative forms of approach in the construction of space for the exercise of position and critic. It has as its goal to give a subsidy to the disciples in the adjustment of knowledge and the promotion of exchange of knowledge. This study consists in a description of experience of academicians of the discipline Probation Course Supervised I from the gradation scale in nursery of the Universidade Estadual do Sudoeste da Bahia, campus Jequié between January 2003 and 2007 with the purpose to socialize experiences in the realization of pedagogic workshops. First the dayclass with representation of instructors and disciples, discussion of the memorandum, objects and methodology of the matter. After that, we discussed the organization and introduction and dramatization of health. We began activities at the field of probation and the disciples had opportunity to develop their actions with participation of instructor and preceptors. Finally there were some meetings of valuation. From the given results we realize that the pedagogic workshops made it possible that the activities of probation are ruled in previously discussed and socialized knowledge, the preceptors began to have more facility in accompany the students and related that they acted with a more adequate ethic position. The students affirmed that these workshops are primordial and valid for the consolidation of necessary knowledge for a good fulfillment and consequently for their professional formation. We found that the pedagogic workshops made it possible to act, know and execute nursing, which must be worked out continuously, because they are not an end in itself but a process in construction.

  1. PEDAGOGIC WORKSHOPS: ASSEMBLING STRATEGIES FOR ACADEMICIAN ACTION – EXPERIENCE OF REPORT

    Directory of Open Access Journals (Sweden)

    Maristella Santos Nascimento

    2007-05-01

    Full Text Available The formation of professional nurses requests the most efficient teaching which confers him competence in achievement of activitie of aid, managing, teaching and investigation. In this perspective the pedagogic workshops consist of alternative forms of approach in the construction of space for the exercise of position and critic. It has as its goal to give a subsidy to the disciples in the adjustment of knowledge and the promotion of exchange of knowledge. This study consists in a description of experience of academicians of the discipline Probation Course Supervised I from the gradation scale in nursery of the Universidade Estadual do Sudoeste da Bahia, campus Jequié between January 2003 and 2007 with the purpose to socialize experiences in the realization of pedagogic workshops. First the dayclass with representation of instructors and disciples, discussion of the memorandum, objects and methodology of the matter. After that, we discussed the organization and introduction and dramatization of health. We began activities at the field of probation and the disciples had opportunity to develop their actions with participation of instructor and preceptors. Finally there were some meetings of valuation. From the given results we realize that the pedagogic workshops made it possible that the activities of probation are ruled in previously discussed and socialized knowledge, the preceptors began to have more facility in accompany the students and related that they acted with a more adequate ethic position. The students affirmed that these workshops are primordial and valid for the consolidation of necessary knowledge for a good fulfillment and consequently for their professional formation. We found that the pedagogic workshops made it possible to act, know and execute nursing, which must be worked out continuously, because they are not an end in itself but a process in construction.

  2. Traditional vs. Innovative Uses of Computers among Mathematics Pre-Service Teachers in Serbia

    Science.gov (United States)

    Teo, Timothy; Milutinovic, Verica; Zhou, Mingming; Bankovic, Dragic

    2017-01-01

    This study examined pre-service teachers' intentions to use computers in traditional and innovative teaching practices in primary mathematics classrooms. It extended the technology acceptance model (TAM) by adding as external variables pre-service teachers' experience with computers and their technological pedagogical content knowledge (TPCK).…

  3. Teacher Formation in the Mathematical Thinking through Problem Solving in the Second Phase of the CCyM Network of Reading Comprehension and Mathematics

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    LUZ STELLA LÓPEZ

    2008-12-01

    Full Text Available This article shares the design, implementation, and evaluation of theLesson Study process used for the professional development of teachers of mathematics, through the Red de Comprensión Lectora y Matemáticas – CCyM Network, in ways to teach mathematics through problem solving. The program began with a course on the implementation of the Thinking Classroom, followed by the semi-presencial Lesson Study process. An analysis of teacher interactions during the Lesson Study process yielded these categories of study: Group Collective Thinking, Mathematical Pedagogical Content Knowledge, Subject Matter Knowledge, Knowledge about Technology, and Expert Support. The analysis reflected variations in group interactions, in the command of concepts, in reflective practice, in the ability to make arguments and to propose changes in practice, and in the ability to self-regulate.

  4. MATHEMATICAL PROBLEMS OF INTEGRATIVE CONTENTS

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    V. Kushnir

    2014-09-01

    Full Text Available The tasks of integrative content requires the use of knowledge and skills on various themes both one discipline and different disciplines. Mostly in the classroom (or in homework the tasks on the properties absorption of different concepts using different theories are considered. Thus knowledge within only one discipline is formed, knowledge of the narrow sense (one subject. Such knowledge is "prescriptional", we call it idealized. After all, it is far from models of the real professional problems and problems of life in general, in order to solve them it is necessary to apply knowledge and skills acquired in different themes of the same objects,life experience. Practical formation of integrative knowledge requires statement of the educational problems before the subjects of studying, the problems within the "narrow objectivity" can not be resolved at all, or such kind of solving is too difficult to solve, for example, the nature and the context of solving problems (scientific approaches to solving problems, creating mathematical models, methods for solving such models, means of solving, application of methods, analysis of the models solution and the right choice, the inspection of solutions, etc. will sink in the conglomeration of technical operations. The problems with integrative content are usually more complicated than the problems of "narrow objectivity." In our problems the index of such difficulty is the essence of educational content, which is disclosed in the previous paragraph. The problems solution proposed in this article requires knowledge of the structural geometry (circle construction, touching two or three laps: with analytic geometry (method of coordinates on the plane; the distance between two points on the coordinate plane; algebra (system drawing irrational equations, method for solving such system, the solution of the system, analysis of the results and the right choose of the desired solution for found criterion, testing

  5. Pre-Service Teacher Training on Game-Enhanced Mathematics Teaching and Learning

    Science.gov (United States)

    Meletiou-Mavrotheris, Maria; Prodromou, Theodosia

    2016-01-01

    The paper reports the main insights from a study aimed at equipping a group of pre-service teachers with the knowledge, skills, and practical experience required to effectively integrate educational games within the mathematics curriculum. An instructional intervention based on the Technological Pedagogical and Content Knowledge framework was…

  6. Foundation Content Knowledge: What Do Pre-Service Teachers Need to Know?

    Science.gov (United States)

    Linsell, Chris; Anakin, Megan

    2013-01-01

    The mathematics content knowledge of pre-service teachers is a growing area of inquiry. This topic requires further theoretical development due to the limited applicability of current cognitive and practice-oriented frameworks of mathematics content knowledge to beginning pre-service teachers. Foundation content knowledge is an integrated,…

  7. Becoming a Mathematics Teacher: The Role of Professional Identity

    Science.gov (United States)

    Akkoç, Hatice; Yesildere-Imre, Sibel

    2017-01-01

    Teachers' pedagogical practice and choices for their actions could not only be explained by their knowledge, beliefs or attitudes (Rodgers & Scott, 2008). Identity also has a crucial role in learning to teach. The aim of this study is to investigate contextual nature of preservice mathematics teachers' professional identities. For this aim, a…

  8. A Comparison of Pedagogical Practices and Beliefs in International and Domestic Mathematics Teaching Assistants

    Science.gov (United States)

    Kim, Minsu

    2014-01-01

    International and domestic mathematics teaching assistants (MTAs) are a critical part of mathematics education because they teach a substantial portion of low-level mathematics courses at research institutions. Even if there are several factors to build on MTAs' pedagogical practices, MTAs' beliefs significantly influence the MTAs' practices. The…

  9. Understanding primary school science teachers' pedagogical content knowledge: The case of teaching global warming

    Science.gov (United States)

    Chordnork, Boonliang; Yuenyong, Chokchai

    2018-01-01

    This aim of this research was to investigate primary school science teachers understanding and teaching practice as well as the influence on teaching and learning a topic like global warming. The participants were four primary science teachers, who were not graduated in science education. Methodology was the case study method, which was under the qualitative research regarded from interpretive paradigm. Data were collected by openended questionnaire, semi-structure interview, and document colleting. The questionnaire examined teachers' background, teachers' understanding of problems and threats of science teaching, desiring of development their PCK, sharing the teaching approaches, and their ideas of strength and weakness. a semi-structured interview was conducted based on the approach for capturing PCK of Loughran [23] content representation (CoRe). And, the document was collected to clarify what evidence which was invented to effect on students' learning. These document included lesson plan, students' task, and painting about global warming, science projects, the picture of activities of science learning, the exercise and test. Data analysis employed multiple approach of evidence looking an issue from each primary science teachers and used triangulation method to analyze the data with aiming to make meaning of teachers' representation of teaching practice. These included descriptive statistics, CoRe interpretation, and document analysis. The results show that teachers had misunderstanding of science teaching practice and they has articulated the pedagogical content knowledge in terms of assessment, goal of teaching and linking to the context of socio cultural. In contrast, knowledge and belief of curriculum, students' understanding of content global warming, and strategies of teaching were articulated indistinct by non-graduate science teacher. Constructing opportunities for personal development, the curiosity of the student learning center, and linking context

  10. Using Multiple Lenses to Examine the Development of Beginning Biology Teachers' Pedagogical Content Knowledge for Teaching Natural Selection Simulations

    Science.gov (United States)

    Sickel, Aaron J.; Friedrichsen, Patricia

    2018-02-01

    Pedagogical content knowledge (PCK) has become a useful construct to examine science teacher learning. Yet, researchers conceptualize PCK development in different ways. The purpose of this longitudinal study was to use three analytic lenses to understand the development of three beginning biology teachers' PCK for teaching natural selection simulations. We observed three early-career biology teachers as they taught natural selection in their respective school contexts over two consecutive years. Data consisted of six interviews with each participant. Using the PCK model developed by Magnusson et al. (1999), we examined topic-specific PCK development utilizing three different lenses: (1) expansion of knowledge within an individual knowledge base, (2) integration of knowledge across knowledge bases, and (3) knowledge that explicitly addressed core concepts of natural selection. We found commonalities across the participants, yet each lens was also useful to understand the influence of different factors (e.g., orientation, subject matter preparation, and the idiosyncratic nature of teacher knowledge) on PCK development. This multi-angle approach provides implications for considering the quality of beginning science teachers' knowledge and future research on PCK development. We conclude with an argument that explicitly communicating lenses used to understand PCK development will help the research community compare analytic approaches and better understand the nature of science teacher learning.

  11. POOR PROGRESS STUDENTS IN LEARNING MATHEMATICS AS SOCIAL AND PSYCHOLOGICAL-PEDAGOGICAL PROBLEM

    OpenAIRE

    Vladimir Tatochenko; Andrii Shypko

    2016-01-01

    The article is devoted to theoretical substantiation of modern methodical system of Mathematics teaching of poor progressing secondary school pupils. A systematic approach to the study of psycho-pedagogical determinants of poor progress of pupils in math was implemented. The dynamic of interfunctional relationship of structure of educational and informative sphere of poor progressing pupils in mathematics was disclosed and scientific understanding of this process was expanded. The introducti...

  12. Investigating the effect of question-driven pedagogy on the development of physics teacher candidates' pedagogical content knowledge

    Science.gov (United States)

    Milner-Bolotin, Marina; Egersdorfer, Davor; Vinayagam, Murugan

    2016-12-01

    This paper describes the second year of a multi-year study on the implementation of Peer Instruction and PeerWise-inspired pedagogies in a physics methods course in a teacher education program at a large research university in Western Canada. In the first year of this study, Peer Instruction was implemented consistently in the physics methods course and teacher candidates were asked to submit five conceptual multiple-choice questions as a final assignment. In the second year of the study we incorporated PeerWise online tool to facilitate teacher candidates' design of conceptual questions by allowing them to provide and receive feedback from their peers, and consequently improve their questions. We have found that as a result of this collaboration teacher candidates improved their pedagogical content knowledge as measured by the rubric developed for the study.

  13. Investigating the effect of question-driven pedagogy on the development of physics teacher candidates’ pedagogical content knowledge

    Directory of Open Access Journals (Sweden)

    Marina Milner-Bolotin

    2016-09-01

    Full Text Available This paper describes the second year of a multi-year study on the implementation of Peer Instruction and PeerWise-inspired pedagogies in a physics methods course in a teacher education program at a large research university in Western Canada. In the first year of this study, Peer Instruction was implemented consistently in the physics methods course and teacher candidates were asked to submit five conceptual multiple-choice questions as a final assignment. In the second year of the study we incorporated PeerWise online tool to facilitate teacher candidates’ design of conceptual questions by allowing them to provide and receive feedback from their peers, and consequently improve their questions. We have found that as a result of this collaboration teacher candidates improved their pedagogical content knowledge as measured by the rubric developed for the study.

  14. Teaching Methods in Mathematics and the Current Pedagogical Point of View in School Education.

    OpenAIRE

    岩崎, 潔; Kiyosi, Iwasaki

    1995-01-01

    It should be a basic principal that studies in teaching profession in universities should take into consideration the current pedagogical points of view in education and the future prospects of that education. This paper discusses the findings of a survey on the degree of recognition that students in our Math courses have about the currents pedagogical understading of teacher trainig. In this paper I will consider how to teach effectively teaching methods in Mathematics.

  15. Developing Mathematical Content Knowledge for Teaching: One Preservice Teacher and Her Planning

    Science.gov (United States)

    Wilson, Susanna

    2016-01-01

    This paper describes how a new pre-service teacher engaged with mathematical content in order to learn it for teaching, during practicum. The results show that the PST learned mathematical content by initiating and carrying out a preparation phase prior to planning. This phase involved searching through internet sites and making notes that were…

  16. The Use of Lesson Study Combined with Content Representation in the Planning of Physics Lessons during Field Practice to Develop Pedagogical Content Knowledge

    Science.gov (United States)

    Juhler, Martin Vogt

    2016-01-01

    Recent research, both internationally and in Norway, has clearly expressed concerns about missing connections between subject-matter knowledge, pedagogical competence and real-life practice in schools. This study addresses this problem within the domain of field practice in teacher education, studying pre-service teachers' planning of a Physics…

  17. Mathematics in Action

    DEFF Research Database (Denmark)

    December 2004-November 2007 Denmark, Hungary, Lithuania, the Netherlands, Norway, Slovenia and Spain have cooperated in the project Mathematics in Action (MiA). The MiA project is supported by the Grundtvig action in the Socrates program of the European Commission. The aim of the project...

  18. ABOUT THE RELEVANCE AND METHODOLOGY ASPECTS OF TEACHING THE MATHEMATICAL MODELING TO PEDAGOGICAL STUDENTS

    Directory of Open Access Journals (Sweden)

    Y. A. Perminov

    2014-01-01

    Full Text Available The paper substantiates the need for profile training in mathematical modeling for pedagogical students, caused by the total penetration of mathematics into different sciences, including the humanities; fast development of the information communications technologies; and growing importance of mathematical modeling, combining the informal scientific and formal mathematical languages with the unique opportunities of computer programming. The author singles out the reasons for mastering and using the mathematical apparatus by teaches in every discipline. Indeed, among all the modern mathematical methods and ideas, mathematical modeling retains its priority in all professional spheres. Therefore, the discipline of “Mathematical Modeling” can play an important role in integrating different components of specialists training in various profiles. By mastering the basics of mathematical modeling, students acquire skills of methodological thinking; learn the principles of analysis, synthesis, generalization of ideas and methods in different disciplines and scientific spheres; and achieve general culture competences. In conclusion, the author recommends incorporating the “Methods of Profile Training in Mathematical Modeling” into the pedagogical magistracy curricula. 

  19. INFORMATIVE SYSTEM OF EDUCATIONAL PURPOSE FROM MATHEMATICS AS A WAY OF PROFESSIONAL ORIENTATION OF TEACHING STUDENTS IT SPECIALTIES

    Directory of Open Access Journals (Sweden)

    Lyudmyla Shishko

    2016-01-01

    Full Text Available The current state of formation of mathematical knowledge in universities insufficiently focused on their further use in professional activities. Students not formed the ability to apply mathematical knowledge to study general professional and special disciplines. In this article: –\tconsidered features of formation of a professional orientation of teaching mathematics using structured content multimedia information system for educational purposes (MISEP; –\tfound psychologo-pedagogical features of teaching mathematics of students IT specialties; –\tconsidered methodical aspects of MISEP in teaching the course "Discrete Mathematics" for students of IT specialties

  20. SUBJECT «NUMBER SYSTEMS» IN TWO-LEVELED FORMAT PREPARATION TEACHERS OF MATHEMATICS

    Directory of Open Access Journals (Sweden)

    V. I. Igoshin

    2017-01-01

    Full Text Available The aim of this article is to analyze the format of a two-leveled training – bachelor and master – future teachers of mathematics from the point of view of the content of mathematical material, which is to develop prospective teachers of mathematics at those two levels, shaping their professional competence.Methods. The study involves the theoretical methods: the analysis of pedagogical and methodical literature, normative documents; historical, comparative and logical analysis of the content of pedagogical mathematical education; forecasting, planning and designing of two-leveled methodical system of training of future teachers of mathematics.Results and scientific novelty. The level differentiation of the higher education system requires developing the appropriate curricula for undergraduate and graduate programs. The fundamental principle must be the principle of continuity – the magister must continue to deepen and broaden knowledge and skills, along with competences acquired, developed and formed on the undergraduate level. From these positions, this paper examines the course «Number Systems» – the most important in terms of methodology course for future mathematics teachers, and shows what content should be filled with this course at the undergraduate level and the graduate level. At the undergraduate level it is proposed to study classical number systems – natural, integer, rational, real and complex. Further extensions of the number systems are studied at the graduate level. The theory of numeric systems is presented as a theory of algebraic systems, arising at the intersection of algebra and mathematical logic. Here we study algebras over a field, division algebra over a field, an alternative algebra with division over the field, Jordan algebra, Lie algebra. Comprehension of bases of the theory of algebras by the master of the «mathematical education» profile will promote more conscious

  1. Determination of Technopedagogical Content Knowledge Competencies of Preservice Physical Education Teachers: A Turkish Sample

    Science.gov (United States)

    Arslan, Yunus

    2015-01-01

    This study examined preservice physical education teachers' (PPETs') technopedagogical content knowledge (TPCK) competencies. The participants were 1028 PPETs from 26 major universities representing all seven geographical regions of Turkey. The Technological Pedagogical Content Knowledge Deep-Scale developed by Kabakci Yurdakul et al. (2012) was…

  2. Exploring ESL/EFL Teachers' Pedagogical Content Knowledge on Reading Strategy Instruction

    Science.gov (United States)

    Xu, Wei

    2015-01-01

    Any instructional practice must be derived from a teacher's knowledge base for teaching, which can be acquired by training, study, or practice. While much attention has been paid to teachers' practical content knowledge in real educational settings, comprehensive syntheses of expert knowledge on a particular teaching task for a specific group of…

  3. Differential item functional analysis on pedagogic and content knowledge (PCK) questionnaire for Indonesian teachers using RASCH model

    Science.gov (United States)

    Rahmani, B. D.

    2018-01-01

    The purpose of this paper is to evaluate Indonesian senior high school teacher’s pedagogical content knowledge also their perception toward curriculum changing in West Java Indonesia. The data used in this study were derived from a questionnaire survey conducted among teachers in Bandung, West Java. A total of 61 usable responses were collected. The Differential Item Functioning (DIFF) was used to analyze the data whether the item had a difference or not toward gender, education background also on school location. However, the result showed that there was no any significant difference on gender and school location toward the item response but educational background. As a conclusion, the teacher’s educational background influence on giving the response to the questionnaire. Therefore, it is suggested in the future to construct the items on the questionnaire which is coped the differences of the participant particularly the educational background.

  4. Teaching Place Value Concepts to First Grade Romanian Students: Teacher Knowledge and its Influence on Student Learning

    Science.gov (United States)

    Tanase, Madalina

    2011-01-01

    Researchers (Ball, 2003; Ma, 1999; Schulman, 1986) have long investigated how a teacher's subject matter and pedagogical content knowledge impact on students' learning of mathematics. In an attempt to account for the relationship between teacher knowledge and student learning, this study examined four Romanian first grade teachers' knowledge about…

  5. Development of an Openmath Content Dictionary for Mathematical Knowledge of Materials Science and Engineering

    Directory of Open Access Journals (Sweden)

    Toshihiro Ashino

    2012-12-01

    Full Text Available Many relationships between parameters and physical properties in materials science and engineering are represented as mathematical expressions, such as empirical equations and regression expressions. Some materials databases handle such information with indirect methods: as a table of sets of parameters, as a list of statements of programming languages, and other ways. There is no standardized way to represent mathematical relationships, and that makes it difficult to exchange, process, and display such information. The AIST (National Institute of Advanced Industrial Science and Technology in Japan thermophysical property database manages sets of parameter values for expressions and Fortran statements that represent relationships between physical parameters, e.g., temperature, pressure, etc. and thermophysical properties. However, in this method, it is not easy to add new parameters, to process expressions, and exchange information with other software tools. In this paper, we describe the current implementation of representing mathematical knowledge in the AIST thermophysical property database, and we also discuss its problems, sample implementations, and definitions of the OpenMath content dictionary for materials science and engineering.

  6. Informing Estimates of Program Effects for Studies of Mathematics Professional Development Using Teacher Content Knowledge Outcomes.

    Science.gov (United States)

    Phelps, Geoffrey; Kelcey, Benjamin; Jones, Nathan; Liu, Shuangshuang

    2016-10-03

    Mathematics professional development is widely offered, typically with the goal of improving teachers' content knowledge, the quality of teaching, and ultimately students' achievement. Recently, new assessments focused on mathematical knowledge for teaching (MKT) have been developed to assist in the evaluation and improvement of mathematics professional development. This study presents empirical estimates of average program change in MKT and its variation with the goal of supporting the design of experimental trials that are adequately powered to detect a specified program effect. The study drew on a large database representing five different assessments of MKT and collectively 326 professional development programs and 9,365 teachers. Results from cross-classified hierarchical growth models found that standardized average change estimates across the five assessments ranged from a low of 0.16 standard deviations (SDs) to a high of 0.26 SDs. Power analyses using the estimated pre- and posttest change estimates indicated that hundreds of teachers are needed to detect changes in knowledge at the lower end of the distribution. Even studies powered to detect effects at the higher end of the distribution will require substantial resources to conduct rigorous experimental trials. Empirical benchmarks that describe average program change and its variation provide a useful preliminary resource for interpreting the relative magnitude of effect sizes associated with professional development programs and for designing adequately powered trials. © The Author(s) 2016.

  7. GENERAL TASKS OF MATHEMATICAL EDUCATION DEVELOPMENT

    Directory of Open Access Journals (Sweden)

    V. A. Testov

    2014-01-01

    Full Text Available The paper discusses basic implementation aspects of the Mathematical Education Development Concept, adopted by the Russian Government in 2013. According to the above document, the main problems of mathematical education include: low motivation of secondary and higher school students for studying the discipline, resulted from underestimation of mathematical knowledge; and outdated educational content, overloaded by technical elements. In the author’s opinion, a number of important new mathematical fields, developed over the last years, - the graph theory, discrete mathematics, encoding theory, fractal geometry, etc – have a large methodological and applied educational potential. However, these new subdisciplines have very little representation both in the secondary and higher school mathematical curricula. As a solution for overcoming the gap between the latest scientific achievements and pedagogical practices, the author recommends integration of the above mentioned mathematical disciplines in educational curricula instead of some outdated technical issues. In conclusion, the paper emphasizes the need for qualified mathematical teachers’ training for solving the problems of students’ motivation development and content updates.

  8. CULTUROLOGICAL APPROACH AS METHODOLOGICAL BASIS OF MATHEMATICAL EDUCATION

    Directory of Open Access Journals (Sweden)

    Ye. A. Perminov

    2017-01-01

    Full Text Available Introduction. Today, in the era of a mathematization of science and total expansion of digital technologies, mass mathematical education becomes a necessary part of culture of every person. However, there are some serious obstacles to formation and development of general mathematical culture: insufficient understanding of its importance by society and the state; fragmentary-clipconsciousness, emerging among representatives of the younger generation under the influence of the Internet, and preventing formation of a complete picture of the modern world; traditional system of disjointed subjects and courses in school, secondary vocational and high school mathematics education; non-cognitive (automatic transferring of the approaches, principles, technologies and techniques into training which are not specific in order to master a course. Development of sociological, axiological and especially culturological aspects of mathematical methodology is required for the solution of the urgent problems of methodology in mathematical education.The aim of the publication is to discuss methodological aspects of culturological approach realization in mathematical education.Methodology and research methods. The theoretical scientific methods of the present article involve analysis and synthesis of the content of philosophical, mathematical, pedagogical, methodological literature and normative documents; comparative, culturological and logical types of analysis of mathematical education; systematic, competence-based, practice-oriented and personal-activity metho-dological approaches were used to understand the concept of mathematical education.Results and scientific novelty. The practicability and leading role of culturological approach to promoting mathematical knowledge is proved from historical, philosophical and pedagogical positions. It is stated that objective conceptualization of progressive ideas and new methods of mathematical science and mathematical

  9. Primary school teachers' use of digital technology in mathematics: the complexities

    Science.gov (United States)

    Loong, Esther Yook-Kin; Herbert, Sandra

    2018-02-01

    This paper seeks to theorise primary teachers' degree of integration of digital technology in the mathematics classroom. In an age where digital technology use is ubiquitous, the issues surrounding teachers' choice, and ultimately their uptake of digital technologies in the classroom, is an area that need to be further unpacked. Cross-case analysis of the two teachers' uptake of digital technologies in their classroom, their pedagogical approaches and the reason for their choices provide insight into teachers' technological, pedagogical and content knowledge (TPACK). Differences in the way the teachers use digital technology in their classroom seem to be connected to their TPACK developmental stage.

  10. Understanding Prospective Teachers' Mathematical Modeling Processes in the Context of a Mathematical Modeling Course

    Science.gov (United States)

    Zeytun, Aysel Sen; Cetinkaya, Bulent; Erbas, Ayhan Kursat

    2017-01-01

    This paper investigates how prospective teachers develop mathematical models while they engage in modeling tasks. The study was conducted in an undergraduate elective course aiming to improve prospective teachers' mathematical modeling abilities, while enhancing their pedagogical knowledge for the integrating of modeling tasks into their future…

  11. Analyzing Similarity in Mathematical Content To Enhance the Detection of Academic Plagiarism

    OpenAIRE

    Isele, Maurice-Roman

    2018-01-01

    Despite the effort put into the detection of academic plagiarism, it continues to be a ubiquitous problem spanning all disciplines. Various tools have been developed to assist human inspectors by automatically identifying suspicious documents. However, to our knowledge currently none of these tools use mathematical content for their analysis. This is problematic, because mathematical content potentially represents a significant amount of the scientific contribution in academic documents. Henc...

  12. The Case for Pedagogical Action Research in Psychology Learning and Teaching

    Science.gov (United States)

    Norton, Lin

    2014-01-01

    It is just over 12 years since "Psychology Teaching Review"'s first Special Issue on action research psychology. In the guest editorial for that issue Lin Norton suggested that pedagogical action research can be controversial, and that for some academic psychologists it appears to be more than curriculum development rather than…

  13. Secondary School Pre-Service Mathematics Teachers' Content Knowledge of Algebraic Word Problem in Nigeria

    Science.gov (United States)

    Usman, Ahmed Ibrahim

    2015-01-01

    Knowledge and understanding of mathematical operations serves as a pre-reequisite for the successful translation of algebraic word problems. This study explored pre-service teachers' ability to recognize mathematical operations as well as use of those capabilities in constructing algebraic expressions, equations, and their solutions. The outcome…

  14. Mathematical knowledge in teaching

    CERN Document Server

    Rowland, Tim

    2011-01-01

    This book examines issues of considerable significance in addressing global aspirations to raise standards of teaching and learning in mathematics by developing approaches to characterizing, assessing and developing mathematical knowledge for teaching.

  15. Pedagogical design for knowledge creating inquiry in customer projects

    Directory of Open Access Journals (Sweden)

    Hanni Muukkonen

    2013-09-01

    Full Text Available Two higher education courses involving students, teachers, and customers in multifaceted experiences of knowledge creation are described. The Trialogical Learning Approach (TLA provides a theoretical framework to address learning and teaching organized around authentic problems and the development of shared knowledge objects, such as reports, products, and new practices. The approach directs attention to those aspects of social interaction and artifact-mediated activities, which focus on the development of shared objects and the pursuit of novel knowledge and understanding. The roles of technology-mediation, customer involvement, and guidance in developing effective pedagogical practices for knowledge creation were addressed. It appears necessary to design sufficient open-endedness and complexity for students’ teamwork to generate unpredictable, practical, and epistemologically challenging situations. Pedagogical design for such a process has different foci in the four central phases: planning, project initiation, project execution, and presentation and evaluation. Planning and initiation are central to establishing relevance and project awareness for the collaboration of student teams with a customer. Guidance and expert modeling during project initiation and execution is needed to overcome feelings of uncertainty during a challenging and complex assignment. Mediation provided by collaboration tools facilitates reflection on collective practices, iterative development of knowledge objects, and documentation of the learning outcomes of customer projects.

  16. A Study of Geometry Content Knowledge of Elementary Preservice Teachers

    Directory of Open Access Journals (Sweden)

    Fatma ASLAN-TUTAK

    2015-06-01

    Full Text Available The purpose of this research is to examine preservice elementary school teachers’ geometry learning as investigated by both qualitative and quantitative methods. For the qualitative investigation, narrative analysis and thematic analysis methods were used. The findings of narrative analysis indicated two main kinds of stories: as a learner and as a beginning teacher. The thematic analysis findings yield to three themes: history of learning geometry, perceptions about geometry, effective geometry instructional practices. The findings informed the quantitative investigation on geometry content knowledge for the case of quadrilaterals. During the second phase of the study, 102 participants who enrolled in the methods course completed pre and post test of teachers’ geometry content knowledge. Treatment group participants (n=54 received series of activities (geometry activities and student work analysis focusing on quadrilaterals, and control group participants (n=48 received traditional instruction. Repeated measures ANOVA results showed a significant change in treatment group participants’ geometry content knowledge. The mixed ANOVA results indicated a significant main effect of knowledge but no significant interaction between geometry content knowledge and grouping. Even though treatment group participants’ geometry content knowledge growth was significant, the difference between treatment group and control group participants’ growth in geometry content knowledge was not significant. This study informs mathematics teacher education in three important areas; limited knowledge of preservice teachers’ geometry content knowledge, integrating mathematics content and the context of teaching into methods course, and use of student work with preservice teachers.

  17. A study of geometry content knowledge of elementary preservice teachers

    Directory of Open Access Journals (Sweden)

    Fatma Aslan Tutak

    2015-06-01

    Full Text Available The purpose of this research is to examine preservice elementary school teachers’ geometry learning as investigated by both qualitative and quantitative methods. For the qualitative investigation, narrative analysis and thematic analysis methods were used. The findings of narrative analysis indicated two main kinds of stories: as a learner and as a beginning teacher. The thematic analysis findings yield to three themes: history of learning geometry, perceptions about geometry, effective geometry instructional practices. The findings informed the quantitative investigation on geometry content knowledge for the case of quadrilaterals. During the second phase of the study, 102 participants who enrolled in the methods course completed pre and post test of teachers’ geometry content knowledge. Treatment group participants (n=54 received series of activities (geometry activities and student work analysis focusing on quadrilaterals, and control group participants (n=48 received traditional instruction. Repeated measures ANOVA results showed a significant change in treatment group participants’ geometry content knowledge. The mixed ANOVA results indicated a significant main effect of knowledge but no significant interaction between geometry content knowledge and grouping. Even though treatment group participants’ geometry content knowledge growth was significant, the difference between treatment group and control group participants’ growth in geometry content knowledge was not significant. This study informs mathematics teacher education in three important areas; limited knowledge of preservice teachers’ geometry content knowledge, integrating mathematics content and the context of teaching into methods course, and use of student work with preservice teachers.

  18. Improving Instructional Leadership through the Development of Leadership Content Knowledge: The Case of Principal Learning in Algebra

    Science.gov (United States)

    Steele, Michael D.; Johnson, Kate R.; Otten, Samuel; Herbel-Eisenmann, Beth A.; Carver, Cynthia L.

    2015-01-01

    Instructional leadership is integral to improving mathematics teaching in secondary schools. However, administrators often lack sufficient content knowledge in mathematics to be effective in this role. This study examined the impact of professional development focused on developing leadership content knowledge in algebra. Data included written…

  19. Las Matematicas: Lenguaje Universal. Grados Intermedios, Nivel 5b: Medida Lineal, Perimetro y Area (Mathematics: A Universal Language. Intermediate Grades, Level 5b: Linear Measure, Perimeter and Area).

    Science.gov (United States)

    Dissemination and Assessment Center for Bilingual Education, Austin, TX.

    This is one of a series of student booklets designed for use in a bilingual mathematics program in grades 6-8. The general format is to present each page in both Spanish and English. The mathematical topics in this booklet include measurement, perimeter, and area. (MK)

  20. Pedagogical Factors Affecting Integration of Computers in Mathematics Instruction in Secondary Schools in Kenya

    Science.gov (United States)

    Wanjala, Martin M. S.; Aurah, Catherine M.; Symon, Koros C.

    2015-01-01

    The paper reports findings of a study which sought to examine the pedagogical factors that affect the integration of computers in mathematics instruction as perceived by teachers in secondary schools in Kenya. This study was based on the Technology Acceptance Model (TAM). A descriptive survey design was used for this study. Stratified and simple…

  1. The development of pedagogical content knowledge in science teachers: New opportunities through technology-mediated reflection and peer-exchange

    Science.gov (United States)

    Madeira, M. Cheryl-Ann

    This design-based research study investigates the development of pedagogical content knowledge among nine teacher-participants (N = 9) in three design phases. PCK is a particular type of teacher knowledge that addresses not only the teacher's understanding of the content to be instructed, but also ways of how to teach that content effectively. This knowledge has been well documented over several decades, and is seen as central to teacher expertise. However, its actual development has been difficult for researchers to investigate. This study offers a detailed perspective on how teachers developed PCK with their engagement in lesson planning and enactment of a project-based technology-enhanced lesson. The study includes two specific interventions designed to enhance teachers' development of PCK: (1) scaffolded reflection that occurs throughout the practices; and (2) peer-exchange of lesson plans, enactment ideas, and completed reflections. The findings demonstrate that teachers improve their planning and enactment of project-based technology-enhanced lessons with scaffolded reflection and peer exchange. Positive correlations were seen between teachers' engagement in the reflections and the quality of their lesson planning. Teachers who participated more deeply in the scaffolded reflections were able to understand how their lesson plans and enactment patterns fostered student understanding of relevant science concepts. Positive correlations were also seen between community influence and teacher lesson plans and enactment. Additionally, positive correlations were confirmed between teachers' level of participation in the peer exchange activities and the quality of their lesson planning and enactments. Teachers who contributed more deeply within the online and face-to-face peer community meetings benefited from the different perspectives of their peers about student learning and the best ways to succeed with project-based instruction. This study allowed some insight into

  2. Action research and millennials: Improving pedagogical approaches to encourage critical thinking.

    Science.gov (United States)

    Erlam, Gwen; Smythe, Liz; Wright-St Clair, Valerie

    2018-02-01

    This article examines the effects of intergenerational diversity on pedagogical practice in nursing education. While generational cohorts are not entirely homogenous, certain generational features do emerge. These features may require alternative approaches in educational design in order to maximize learning for millennial students. Action research is employed with undergraduate millennial nursing students (n=161) who are co-researchers in that they are asked for changes in current simulation environments which will improve their learning in the areas of knowledge acquisition, skill development, critical thinking, and communication. These changes are put into place and a re-evaluation of the effectiveness of simulation progresses through three action cycles. Millennials, due to a tendency for risk aversion, may gravitate towards more supportive learning environments which allow for free access to educators. This tendency is mitigated by the educator modeling expected behaviors, followed by student opportunity to repeat the behavior. Millennials tend to prefer to work in teams, see tangible improvement, and employ strategies to improve inter-professional communication. This research highlights the need for nurse educators working in simulation to engage in critical discourse regarding the adequacy and effectiveness of current pedagogy informing simulation design. Pedagogical approaches which maximize repetition, modeling, immersive feedback, and effective communication tend to be favored by millennial students. Copyright © 2017 Elsevier Ltd. All rights reserved.

  3. An Exploration of the Technological, Pedagogical and Content Knowledge (TPACK Framework: Utilising a Social Networking Site in Irish Higher Education

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    Matt Glowatz

    2015-06-01

    Full Text Available Research into the use of social media for academic purposes is growing. Much of it suggests that social networking sites (SNSs could be used as innovative tools for teaching (Duncan & Baryzck, 2013; Harris, 2012; O’Brien & Glowatz, 2013. This paper argues that research in this field has often neglected to take account of the pedagogy involved in successfully utilising a SNS for educational purposes. Koehler & Mishra (2009 have proposed the technological, pedagogical and content knowledge framework (TPACK to explore the relationship of technology to teaching in order to build the basis for further research. We explore the suitability of the TPACK framework in the context of SNSs for academic engagement, and we review its relevance to the adoption of a SNS as a teaching tool. Our investigation so far suggests that the current TPACK framework overlooks some important elements that are relevant to the adoption of SNSs. This paper outlines some of these overlooked elements and evaluates the use of the TPACK framework in the exploration of SNS usage in higher education to engage students with curriculum. Specifically, we address the key question, ‘Does the TPACK framework provide an insight into the knowledge base required to effectively deliver a module utilizing SNSs?’

  4. Mathematical Making in Teacher Preparation: What Knowledge Is Brought to Bear?

    Science.gov (United States)

    Greenstein, Steven; Seventko, Justin

    2017-01-01

    In this paper, we describe an experience within mathematics teacher preparation that engages preservice teachers (PSTs) in Making and design practices that we hypothesized would inform their conceptual and pedagogical thinking. With a focus on the design of new tools to support mathematics teaching and learning, this Learning by Design experience…

  5. The impact of a curriculum course on pre-service primary teachers' science content knowledge and attitudes towards teaching science

    OpenAIRE

    Murphy, Clíona; Smith, Greg

    2012-01-01

    Many primary school teachers have insufficient content and pedagogical knowledge of science. This lack of knowledge can often lead to a lack of confidence and competence in teaching science. This article explores the impact of a year-long science methodology (curriculum science) course on second year Bachelor of Education (BEd) students' conceptual and pedagogical knowledge of science and on their attitudes towards teaching science in the primary classroom. A questionnaire, containing closed ...

  6. Does an Observer's Content Knowledge Influence the Feedback Offered about Mathematics Lessons?

    Science.gov (United States)

    Peck, Duane C.

    2016-01-01

    The purpose of this study was two-fold. First, feedback from 3 different groups of observers: math content specialists, content specialists in areas other than mathematics, and building principals, was analyzed using an inductive approach to identify themes within the feedback. Second, differences in the feedback offered by participants of the 3…

  7. EFFECTIVE LEARNING INTERACTION AS A PREREQUISITE TO SUCCESSFUL OPEN DISTANCE LEARNING (ODL: A Case study of Learners in the Northern State of Kedah and Perlis, Malaysia

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    Hisham DZAKIRIA, Universiti Utara Malaysia, MALAYSIAUniversiti Utara Malaysia, MALAYSIA

    2013-01-01

    Full Text Available This research aims to investigate primary preservice mathematics teachers’ views on distance education and web pedagogical content knowledge in terms of the subscales of general web, communicative web, pedagogical web, web pedagogical content and attitude towards web based instruction. The research was conducted with 46 senior students in the department of Primary Mathematics Education in Istanbul. Web Pedagogical Content Knowledge scale developed by Lee, Tsai and Chang (2008 and adapted into Turkish by Horzum (2011 was used as the data collection tool. Values of frequency and percentage and Kruskal Wallis test were used in the analysis of the data. Whether preservice teachers’ perceptions towards adequacy levels for web pedagogical content knowledge differ or not was discussed in terms of their views on distance education and their habits of using the Internet and e-mail.

  8. Graphic Organizer in Action: Solving Secondary Mathematics Word Problems

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    Khoo Jia Sian

    2016-09-01

    Full Text Available Mathematics word problems are one of the most challenging topics to learn and teach in secondary schools. This is especially the case in countries where English is not the first language for the majority of the people, such as in Brunei Darussalam. Researchers proclaimed that limited language proficiency and limited Mathematics strategies are the possible causes to this problem. However, whatever the reason is behind difficulties students face in solving Mathematical word problems, it is perhaps the teaching and learning of the Mathematics that need to be modified. For example, the use of four-square-and-a-diamond graphic organizer that infuses model drawing skill; and Polya’s problem solving principles, to solve Mathematical word problems may be some of the strategies that can help in improving students’ word problem solving skills. This study, through quantitative analysis found that the use of graphic organizer improved students’ performance in terms of Mathematical knowledge, Mathematical strategy and Mathematical explanation in solving word problems. Further qualitative analysis revealed that the use of graphic organizer boosted students’ confidence level and positive attitudes towards solving word problems.Keywords: Word Problems, Graphic Organizer, Algebra, Action Research, Secondary School Mathematics DOI: http://dx.doi.org/10.22342/jme.7.2.3546.83-90

  9. Effects of training peer tutors in content knowledge versus tutoring skills on giving feedback to help tutees’ complex tasks

    NARCIS (Netherlands)

    Hsiao, Amy; Brouns, Francis; Van Bruggen, Jan; Sloep, Peter

    2015-01-01

    This study aims to investigate the effectiveness of training tutors in content knowledge of a particular domain versus training them in tutoring skills of pedagogical knowledge when tutoring on a complex tutee task. Forty-seven tutor-tutee pairs of fourth year secondary school students were created

  10. Science and mathematics teaching through local games in preschools of Botswana

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    Kabita Bose

    2016-11-01

    Full Text Available This article presents a study regarding preschool teachers’ skills and competencies in teaching science and mathematics. The aim of the project was twofold; one to find out the preschool teachers’ knowledge about mathematics and science concepts and then to develop support material to empower them with skills and competencies to teach these concepts in preschools. A qualitative approach was adopted, and a case study method was used. Data were collected through two workshops and focus group discussions with preschool teachers. The study revealed that the preschool teachers had content knowledge, but lacked pedagogical knowledge that is crucial in teaching of preschool children, and they provided science and mathematics experiences in preschools scarcely. A resource book of 33 local games and rhymes thus was developed as a support material to empower the teachers with skills and competencies to use play to teach science and mathematics in preschools. The resource book developed consists of 33 local games/rhymes and is packaged with the games’ illustrations, steps and rules followed in the games, science and mathematics concepts and competencies that could be taught to children, along with probing questions that would help in teaching of science and mathematics concepts to children.

  11. Integrating Science and Technology: Using Technological Pedagogical Content Knowledge as a Framework to Study the Practices of Science Teachers

    Science.gov (United States)

    Pringle, Rose M.; Dawson, Kara; Ritzhaupt, Albert D.

    2015-01-01

    In this study, we examined how teachers involved in a yearlong technology integration initiative planned to enact technological, pedagogical, and content practices in science lessons. These science teachers, engaged in an initiative to integrate educational technology in inquiry-based science lessons, provided a total of 525 lesson plans for this…

  12. Teacher leadership in mathematics and science: Subject content knowledge and the improvement of instruction

    Science.gov (United States)

    Manno, Christopher M.

    This study explores the role of teacher leader subject content knowledge in the promotion of professional development and instructional reform. Consistent with a distributed leadership perspective, many have asserted that the promotion of school effectiveness can be enhanced through the application of teacher leadership (Frost & Durrant, 2003; Harris, 2002a; Sherrill, 1999; Silva, Gimbert, & Nolan, 2000; York-Barr & Duke, 2004). There has been much discussion in the research about the significance of teachers' subject content knowledge in teaching and learning which has generally asserted a positive relationship with instructional practice and student achievement (Darling-Hammond, 2000; Newton & Newton, 2001; Parker & Heywood, 2000). The role of content knowledge in teacher leader work has been less researched. This study focused on deepening understanding of perceptions regarding teacher leaders' roles in improving instructional practice. Based on a framework of common teacher leader tasks, qualitative methods were used to investigate the relationship between teacher leader subject content knowledge and perceptions of effectiveness in promoting professional development and instructional reform. The study indicates that content experts behave differently than their non-expert counterparts. Content experts recognize deficiencies in colleagues' content knowledge as a primary problem in the implementation of math or science reform. Content experts view their work as advocacy for improved curriculum and instruction for all children, and work within a small set of task categories to promote discussions about teaching, learning, and content. Content experts develop trust and rapport with colleagues by demonstrating expertise, and are respected for their deep knowledge and efforts to help teachers learn the content. They also differ from non-content experts in the professional growth experiences in which they engage. The consideration of content expertise as an influence

  13. Mathematical Knowledge and Skills Expected by Higher Education in Engineering and the Social Sciences: Implications for High School Mathematics Curriculum

    Science.gov (United States)

    Basaran, Mehmet; Özalp, Gülümser; Kalender, Ilker; Alacaci, Cengiz

    2015-01-01

    One important function of school mathematics curriculum is to prepare high school students with the knowledge and skills needed for university education. Identifying them empirically will help making sound decisions about the contents of high school mathematics curriculum. It will also help students to make informed choices in course selection at…

  14. Pedagogic Project and Evaluation: considering affection on youth and adult education

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    Maria Peregrina de Fátima Rotta Furlanetti

    2009-11-01

    Full Text Available This article aims to encourage educators to consider aspects related to the timing and scope on the planning of pedagogic activities regarding to evaluate student´s attitudes, skills and knowledge. Evaluation, in this context, means embracing other beings within their intrinsic manners, bounding to decide about educational aspects derived from the previous assessment. Speculating about potential activities that emerge from current daily actions, extracting from these experiences the real sense of reality and language-thought may provide the need for new ways of expression. The pedagogic process starts when there is an interaction between the community and the educator generating knowledge about communitarian characteristics and aims, therefore the class schedule and theme and matters of the class survey may emerge from the dialogs held among educators and students. The curricular contents will be based on the sociocultural knowledge developed by humanity according to it´s historical needs.

  15. MATHEMATICS PRACTICES AND THEIR EFFECTS ON FIRST-TO-FOURTH-GRADE TEACHER EDUCATION

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    Marta Cristina Cezar Pozzobon

    2012-12-01

    Full Text Available Grounded on Foucauldian studies, we have attempted to understand how mathematics practices have produced effects on first-to-fourth-grade mathematics teachers. We have argued that such effects go beyond the borders of the pedagogical and the contents of this knowledge area, becoming part of a “general policy” of truth that comprehends the conceptions of scientific knowledge, mathematics and teaching of a particular time. The materials here considered were produced in a High School course in the 1990’s. We have realized that the practices of mathematics education in that period could be assessed from three emphases: a education to teach mathematics through the “concrete”, the “logical knowledge” and the “abstract”, showing mathematics teaching practices from a constructivist, science-oriented perspective, b “globalized teaching”, and c “emphasis on reality”. This has enabled us to problematize the mathematical education of first-to-fourth grade teachers produced in those practices.

  16. Content Area Literacy in the Mathematics Classroom

    Science.gov (United States)

    Armstrong, Abbigail; Ming, Kavin; Helf, Shawnna

    2018-01-01

    Content area literacy has an important role in helping students understand content in specific disciplines, such as mathematics. Although the strategies are not unique to each individual content area, they are often adapted for use in a specific discipline. For example, mathematicians use mathematical language to make sense of new ideas and…

  17. Technological Pedagogical Content Knowledge in Teacher Education: In Search of a New Curriculum

    Science.gov (United States)

    Tondeur, Jo; Roblin, Natalie Pareja; van Braak, Johan; Fisser, Petra; Voogt, Joke

    2013-01-01

    The aim of this study was to explore the ways in which teacher education institutions (TEI) prepare pre-service teachers for integrating information and communication technology (ICT) in their classroom practise. Specifically, a multiple case study was conducted to examine the ways in which the development of technological pedagogical content…

  18. Self-efficacy on Technological, Pedagogical and Content Knowledge (TPACK of Biological Science Pre-Service Teachers

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    Anania B. Aquino

    2015-11-01

    Full Text Available The teachers are the focal figure in education and play vital roles in learning. These roles have served as key point in designing the curriculum and preparing pre-service teachers. Turning students into competent teachers is an interplay of varied factors, one of which is technology. This impact necessitates the utilization of technology in teaching, described as technological pedagogical content knowledge (TPACK. The study aimed to investigate TPACK self-efficacies of pre - service biological science teachers who were enrolled in two academic years at the College of Teacher Education in a state university in the Philippines. It also examined whether the responses of the two groups of respondents on TPACK self – efficacy differ and whether these self-efficacies relate to sex, electronic gadget owned and access to internet. It used the descriptive survey method of research employing a questionnaire on TPACK to collect data. The study found out that there is more female than male. Majority have electronic gadgets but have limited access to internet. Findings showed that respondents have good TPACK self – efficacy. The findings showed that the responses of the two groups of participants on TPACK self – efficacies are statistically different . Further, their self – efficacies is very slightly affected by their sex, electronic gadgets owned and access to internet. The study recommends reviewing and improving instructional practices and curriculum of the college to enhance TPACK of respondents.

  19. Mathematical knowledge for teaching: Making the tacit more explicit in mathematics teacher education

    Science.gov (United States)

    Abdullah, Mohd Faizal Nizam Lee; Vimalanandan, Lena

    2017-05-01

    Teaching practice during school based experiences, afford an opportunity for pre service teachers to put into practice their knowledge for teaching mathematics. Like all knowledge, Mathematical Knowledge for Teaching (MKT) is held in both tacit and explicit form, making it especially difficult to study and map during instruction. This study investigates the tacit and explicit nature of MKT held by pre service teachers in a Malaysian Teacher Education Program and how it impacts the Mathematical Quality of their instruction (MQI). This study of three mathematics pre-service teachers (PSTs), utilised videos of mathematics lessons, reflective debriefs and interviews. The findings suggest that factors such as reflecting, peer-sharing, conferencing with mentors and observing support in making tacit knowledge more explicit during planning and instruction. Implications for preparation of mathematics teachers capable of high Mathematical Quality of Instruction are also discussed.

  20. The Preparation Experiences of Elementary Mathematics Specialists: Examining Influences on Beliefs, Content Knowledge, and Teaching Practices

    Science.gov (United States)

    Swars, Susan L.; Smith, Stephanie Z.; Smith, Marvin E.; Carothers, Jody; Myers, Kayla

    2018-01-01

    Many in the field of mathematics education call for elementary schools to have elementary mathematics specialists (EMSs) who provide needed mathematical expertise and support for children and teachers. EMSs serve as a reasonable, immediate alternative to the challenges generated by elementary teachers needing improved mathematical knowledge for…

  1. Examining Change in K-3 Teachers' Mathematical Knowledge, Attitudes, and Beliefs: The Case of Primarily Math

    Science.gov (United States)

    Kutaka, T. S.; Ren, L.; Smith, W. M.; Beattie, H. L.; Edwards, C. P.; Green, J. L.; Chernyavskiy, P.; Stroup, W.; Heaton, R. M.; Lewis, W. J.

    2018-01-01

    This study examines the impact of the Primarily Math Elementary Mathematics Specialist program on K-3 teachers' mathematical content knowledge for teaching, attitudes toward learning mathematics, and beliefs about mathematics teaching and learning. Three cohorts of teachers participating in the program were compared to a similar group of…

  2. Effects of Training Peer Tutors in Content Knowledge versus Tutoring Skills on Giving Feedback to Help Tutees' Complex Tasks

    Science.gov (United States)

    Hsiao, Ya Ping; Brouns, Francis; van Bruggen, Jan; Sloep, Peter B.

    2015-01-01

    This study aimed to investigate the effectiveness of training tutors in content knowledge of a particular domain versus training them in tutoring skills of pedagogical knowledge when tutoring on a complex tutee task. Forty-seven tutor--tutee pairs of fourth-year secondary school students were created and assigned to one of the two treatments.…

  3. Critérios para a implementação de práticas pedagógicas na formação inicial em educação física e implicações no conhecimento pedagógico do conteúdo dos futuros professores Criteria for implementation of pedagogical practices in physical education teacher education and implications in pedagogical content knowledge of prospective teachers

    Directory of Open Access Journals (Sweden)

    Daniel Marcon

    2011-09-01

    conteúdo e a formação docente dos futuros professores ao longo da formação inicial em Educação Física.Pedagogical content knowledge is conceived as responsible for transforming teachers` content knowledge into teachable knowledge comprehensible to students. For the entire development of the pedagogical content knowledge during Physical Education teacher education, the approximation between contexts of formation and basic education, especially through strategies of pedagogical practices, has been recommended. Considering these concerns, this theoretical essay has aimed to present and discuss some criteria which subsidize formation programs in Physical Education in tasks for structuring and implementing these pedagogical practices. The information analyzed allows to identify five different aspects which can orientate formation programs: place of execution (higher education institution, school or community spaces; number of prospective teachers who will give the pedagogical practice (groups, trios, pairs or individually; students participating in the activities (classmates or community students; number of students participating (one, two, small groups or the whole class; and the number of activities which will be given (one, a pedagogical sequence, or a complete teaching unit. Literature also suggests that the achievement of pedagogical practices goals in prospective formation programs depends on conceptions that formation programs, teacher educators, and prospective teachers have concerning the participation of these forming strategies in the formation of future Physical Education teachers. Therefore, it is believed these five criteria may contribute for the implementation of different modalities of pedagogical practices which will allow pedagogical content knowledge to function as interlocutor between the knowledge base for teaching and the teaching and learning context, which will maximize both gradual development of pedagogical content knowledge itself and

  4. Teachers' Use of a Pedagogical Framework for Improvement in Mathematics Teaching: Case Studies from YuMi Deadly Maths

    Science.gov (United States)

    Carter, Merilyn; Cooper, Tom; Anderson, Robyn

    2016-01-01

    This paper describes the pedagogical framework used by YuMi Deadly Maths, a school change process used to improve mathematics teaching and thus enhance employment and life chances for socially disadvantaged students. The framework, called the RAMR cycle, is capable of being used by mathematics teachers for planning and delivering lessons and units…

  5. Pedagogic Knowledge and the Victorian Era Anglo-American Teacher.

    Science.gov (United States)

    Larsen, Marianne A.

    2002-01-01

    Discusses the expected knowledge base of British Victorian elementary teachers in the rational and scientific study of pedagogy and didactics. Concludes comparative research has revealed prevalence of similar pedagogic discourse in Great Britain and North American schools. (KDR)

  6. Characterising the perceived value of mathematics educational apps in preservice teachers

    Science.gov (United States)

    Handal, Boris; Campbell, Chris; Cavanagh, Michael; Petocz, Peter

    2016-03-01

    This study validated the semantic items of three related scales aimed at characterising the perceived worth of mathematics-education-related mobile applications (apps). The technological pedagogical content knowledge (TPACK) model was used as the conceptual framework for the analysis. Three hundred and seventy-three preservice students studying primary school education from two public and one private Australian universities participated in the study. The respondents examined three different apps using a purposively designed instrument in regard to either their explorative, productive or instructive instructional role. While construct validity could not be established due to a broad range of variability in responses implying a high degree of subjectivity in respondents' judgments, the qualitative analysis was effective in establishing content validity.

  7. Collective Pedagogical Teacher Culture and Mathematics Achievement: Differences by Race, Ethnicity, and Socioeconomic Status

    Science.gov (United States)

    Moller, Stephanie; Mickelson, Roslyn Arlin; Stearns, Elizabeth; Banerjee, Neena; Bottia, Martha Cecilia

    2013-01-01

    Scholars have not adequately assessed how organizational cultures in schools differentially influence students' mathematics achievement by race and socioeconomic status (SES). We focus on what we term "collective pedagogical teacher culture", highlighting the role of professional communities and teacher collaboration in influencing…

  8. The pedagogical practices in inclusive context: strategies, actions and results

    Directory of Open Access Journals (Sweden)

    Marco Antonio Melo Franco

    2016-10-01

    Full Text Available This research seeks to go beyond the theoretical debate on the integration and inclusion of children with disability. It addresses pedagogical work in the classroom, with the disabled child, in this case, the child with cerebral palsy. This is a qualitative approach and action research that aims to understand the reality investigated and it intervene. Participates in the research a public school that has students with cerebral palsy. The classes were followed weekly during the school year, in order to understand and analyze the process of teaching and learning. In addition, we attempted to intervene and build new teaching practices with teachers. As a result we identified the adoption of pedagogical strategies that consider the individuality of the subjects and their participation in the school community. Strategies were adopted as written economy, reorganization of spaces, change in the form of participation, curriculum adaptation, and adaptation activities, among others.

  9. Understanding Teachers' Pedagogical Knowledge In ESL Vocabulary Teaching

    Directory of Open Access Journals (Sweden)

    Maizatulliza Muhamad

    2018-02-01

    Full Text Available In communicative language teaching classrooms, one of the main emphases is on students’ ability to use the target language for real life purposes. To achieve this goal, teachers may have to ensure that students have adequate vocabulary to express their feelings and ideas. Previous research on vocabulary teaching and learning tends to be quantitative in nature focusing on testing the effectiveness of some techniques. This research study however, is an attempt to understand teachers’ pedagogical systems that influence their practice in actual classroom interactions during vocabulary teaching and learning. In-depth interviews and classroom observations with two experienced Malaysian ESL teachers were conducted. The interviews highlighted the teachers’ beliefs as well as challenges they faced with regards to vocabulary teaching and learning. The classroom observations revealed that their practice was very much a reflection of their own beliefs, based on their own experience as students as well as teachers. The results of this study showcased the fact that teachers operate within the spectrum of their pedagogical knowledge.

  10. Knowledge Building and Mathematics: Shifting the Responsibility for Knowledge Advancement and Engagement

    Directory of Open Access Journals (Sweden)

    Joan Moss

    2010-12-01

    Full Text Available Three classrooms of Grade 4 students from different schools and diverse backgrounds collaborated in early algebra research to solve a series of linear and quadratic generalizing problems. Results revealed that high- and low-achieving students were able to solve problems of recognized difficulty. We discuss Knowledge Building principles and practices that fostered deep understanding and broad participation. Students used the online Knowledge Building environment Knowledge Forum® to conduct their work and we illustrate how Knowledge Forum supported a Knowledge Building culture for mathematical learning and problem solving. Analyses of participation patterns and note content revealed practices consistent with Knowledge Building principles, specifically democratization of knowledge, with students at all achievement levels participating, and epistemic agency, with students providing evidence and justification for conjectures and generating multiple solutions to challenging problems.

  11. ICT integration in mathematics initial teacher training and its impact on visualization: the case of GeoGebra

    Science.gov (United States)

    Dockendorff, Monika; Solar, Horacio

    2018-01-01

    This case study investigates the impact of the integration of information and communications technology (ICT) in mathematics visualization skills and initial teacher education programmes. It reports on the influence GeoGebra dynamic software use has on promoting mathematical learning at secondary school and on its impact on teachers' conceptions about teaching and learning mathematics. This paper describes how GeoGebra-based dynamic applets - designed and used in an exploratory manner - promote mathematical processes such as conjectures. It also refers to the changes prospective teachers experience regarding the relevance visual dynamic representations acquire in teaching mathematics. This study observes a shift in school routines when incorporating technology into the mathematics classroom. Visualization appears as a basic competence associated to key mathematical processes. Implications of an early integration of ICT in mathematics initial teacher training and its impact on developing technological pedagogical content knowledge (TPCK) are drawn.

  12. The analysis of mathematics teachers' learning on algebra function limit material based on teaching experience difference

    Science.gov (United States)

    Ma'rufi, Budayasa, I. Ketut; Juniati, Dwi

    2017-08-01

    The aim of this study was to describe the analysis of mathematics teachers' learning on algebra function limit material based on teaching experience difference. The purpose of this study is to describe the analysis of mathematics teacher's learning on limit algebraic functions in terms of the differences of teaching experience. Learning analysis focused on Pedagogical Content Knowledge (PCK) of teachers in mathematics on limit algebraic functions related to the knowledge of pedagogy. PCK of teachers on limit algebraic function is a type of specialized knowledge for teachers on how to teach limit algebraic function that can be understood by students. Subjects are two high school mathematics teacher who has difference of teaching experience they are one Novice Teacher (NP) and one Experienced Teacher (ET). Data are collected through observation of learning in the class, videos of learning, and then analyzed using qualitative analysis. Teacher's knowledge of Pedagogic defined as a knowledge and understanding of teacher about planning and organizing of learning, and application of learning strategy. The research results showed that the Knowledge of Pedagogy on subject NT in mathematics learning on the material of limit function algebra showed that the subject NT tended to describe procedurally, without explaining the reasons why such steps were used, asking questions which tended to be monotonous not be guiding and digging deeper, and less varied in the use of learning strategies while subject ET gave limited guidance and opportunities to the students to find their own answers, exploit the potential of students to answer questions, provide an opportunity for students to interact and work in groups, and subject ET tended to combine conceptual and procedural explanation.

  13. Pedagogical Applications from Real Analysis for Secondary Mathematics Teachers

    Science.gov (United States)

    Wasserman, Nicholas; Weber, Keith

    2017-01-01

    In this article, we consider the potential influences of the study of proofs in advanced mathematics on secondary mathematics teaching. Thus far, the literature has highlighted the benefits of applying the conclusions of particular proofs to secondary content and of developing a more general sense of disciplinary practices in mathematics in…

  14. Exploring teachers' beliefs and knowledge about scientific inquiry and the nature of science: A collaborative action research project

    Science.gov (United States)

    Fazio, Xavier Eric

    Science curriculum reform goals espouse the need to foster and support the development of scientific literacy in students. Two critical goals of scientific literacy are students' engagement in, and developing more realistic conceptions about scientific inquiry (SI) and the nature of science (NOS). In order to promote the learning of these curriculum emphases, teachers themselves must possess beliefs and knowledge supportive of them. Collaborative action research is a viable form of curriculum and teacher development that can be used to support teachers in developing the requisite beliefs and knowledge that can promote these scientific literacy goals. This research study used a collective case study methodology to describe and interpret the views and actions of four teachers participating in a collaborative action research project. I explored the teachers' SI and NOS views throughout the project as they investigated ideas and theories, critically examined their current curricular practice, and implemented and reflected on these modified curricular practices. By the end of the research study, all participants had uniquely augmented their understanding of SI and NOS. The participants were better able to provide explanatory depth to some SI and NOS ideas; however, specific belief revision with respect to SI and NOS ideas was nominal. Furthermore, their idealized action research plans were not implemented to the extent that they were planned. Explanations for these findings include: impact of significant past educational experiences, prior understanding of SI and NOS, depth of content and pedagogical content knowledge of the discipline, and institutional and instructional constraints. Nonetheless, through participation in the collaborative action research process, the teachers developed professionally, personally, and socially. They identified many positive outcomes from participating in a collaborative action research project; however, they espoused constraints to

  15. Characterisation of Teacher Professional Knowledge and Skill through Content Representations from Tertiary Chemistry Educators

    Science.gov (United States)

    Schultz, M.; Lawrie, G. A.; Bailey, C. H.; Dargaville, B. L.

    2018-01-01

    An established tool for collating secondary teachers' pedagogical content knowledge (Loughran's CoRe) has been adapted for use by tertiary educators. Chemistry lecturers with a range of levels of experience were invited to participate in workshops through which the tool was piloted, refined and applied. We now present this refined tool for the…

  16. The effect of Ghanaian pre-service teachers' content knowledge on ...

    African Journals Online (AJOL)

    PROF.MIREKU

    teachers have to practice what they learn in their pedagogy courses in college. Since ..... Figure 3 Scatter plot of pre-service teachers' content knowledge and MKT ... domains of basic mathematics like algebra, geometry and measurement.

  17. Conceptualizations of Representation Forms and Knowledge Organization of High School Teachers in Finland: "Magnetostatics"

    Science.gov (United States)

    Majidi, Sharareh; Emden, Markus

    2013-01-01

    One of the main components of teachers' pedagogical content knowledge refers to their use of representation forms. In a similar vein, organizing concepts logically and meaningfully is an essential element of teachers' subject matter knowledge. Since subject matter and pedagogical content knowledge of teachers are tightly connected as categories…

  18. The role of mathematics for physics teaching and understanding

    International Nuclear Information System (INIS)

    Pospiech, G; Geyer, M.A.; Eylon, B.; Bagno, E.; Lehavi, Y.

    2015-01-01

    That mathematics is the “language of physics” implies that both areas are deeply interconnected, such that often no separation between “pure” mathematics and “pure” physics is possible. To clarify their interplay a technical and a structural role of mathematics can be distinguished. A thorough understanding of this twofold role in physics is also important for shaping physics education especially with respect to teaching the nature of physics. Herewith the teachers and their pedagogical content knowledge play an important role. Therefore we develop a model of PCK concerning the interplay of mathematics and physics in order to provide a theoretical framework for the views and teaching strategies of teachers. In an exploratory study four teachers from Germany and four teachers from Israel have been interviewed concerning their views and its transfer to teaching physics. Here we describe the results from Germany. Besides general views and knowledge held by all or nearly all teachers we also observe specific individual focus depending on the teachers’ background and experiences. The results fit well into the derived model of PCK.

  19. The role of mathematics for physics teaching and understanding

    Science.gov (United States)

    Pospiech, Gesche; Eylon, BatSheva; Bagno, Esther; Lehavi, Yaron; Geyer, Marie-Annette

    2016-05-01

    -1That mathematics is the "language of physics" implies that both areas are deeply interconnected, such that often no separation between "pure" mathematics and "pure" physics is possible. To clarify their interplay a technical and a structural role of mathematics can be distinguished. A thorough understanding of this twofold role in physics is also important for shaping physics education especially with respect to teaching the nature of physics. Herewith the teachers and their pedagogical content knowledge play an important role. Therefore we develop a model of PCK concerning the interplay of mathematics and physics in order to provide a theoretical framework for the views and teaching strategies of teachers. In an exploratory study four teachers from Germany and four teachers from Israel have been interviewed concerning their views and its transfer to teaching physics. Here we describe the results from Germany. Besides general views and knowledge held by all or nearly all teachers we also observe specific individual focus depending on the teachers' background and experiences. The results fit well into the derived model of PCK.

  20. Researcher sherlockiana pedagogical perspective

    Directory of Open Access Journals (Sweden)

    Diego Antonio Pineda

    2010-01-01

    Full Text Available The text present the conceptual development about an author denominated pedagogical research. It explains from the reading and interpretation of Sir Arthur Konan Doyle texts and its main character Sherlock Holmes, some clues on order to do the pedagogical researcher: personal passion for the knowledge, curiosity and astonished, diligence and discipline, logical and imaginatively ability. At same time it explains the possibility of free and public discussion in the university and the strength in the writing and the community academic formation as characteristic of pedagogical researcher. The text is development in three parts: first makes references to the characteristics of researcher, second it is about the process of research and performance characteristics of itself and last it explains the institutional conditions which permit its action and implication into society.

  1. Psycho-Pedagogical Measuring Bases of Educational Competences of Students

    Science.gov (United States)

    Kenzhegaliev, Kulush K.; Shayakhmetova, Aisulu A.; Zulkarnayeva, Zhamila A.; Iksatova, Balzhan K.; Shonova, Bakytgul A.

    2016-01-01

    The relevance of the research problem is conditioned by the weak development of measurement, assessment of educational competences at an operational level, at the level of actions, by insufficient applications of psycho-pedagogical theories and methods of mathematical statistics. The aim of the work is to develop through teaching experiments the…

  2. Developing a Questionnaire to Assess the Probability Content Knowledge of Prospective Primary School Teachers

    Science.gov (United States)

    Gómez-Torres, Emilse; Batanero, Carmen; Díaz, Carmen; Contreras, José Miguel

    2016-01-01

    In this paper we describe the development of a questionnaire designed to assess the probability content knowledge of prospective primary school teachers. Three components of mathematical knowledge for teaching and three different meanings of probability (classical, frequentist and subjective) are considered. The questionnaire content is based on…

  3. Fragmentation of percolation cluster perimeters

    Science.gov (United States)

    Debierre, Jean-Marc; Bradley, R. Mark

    1996-05-01

    We introduce a model for the fragmentation of porous random solids under the action of an external agent. In our model, the solid is represented by a bond percolation cluster on the square lattice and bonds are removed only at the external perimeter (or `hull') of the cluster. This model is shown to be related to the self-avoiding walk on the Manhattan lattice and to the disconnection events at a diffusion front. These correspondences are used to predict the leading and the first correction-to-scaling exponents for several quantities defined for hull fragmentation. Our numerical results support these predictions. In addition, the algorithm used to construct the perimeters reveals itself to be a very efficient tool for detecting subtle correlations in the pseudo-random number generator used. We present a quantitative test of two generators which supports recent results reported in more systematic studies.

  4. The Benefits of Fine Art Integration into Mathematics in Primary School

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    Anja Brezovnik

    2015-09-01

    Full Text Available The main purpose of the article is to research the effects of the integration of fine art content into mathematics on students at the primary school level. The theoretical part consists of the definition of arts integration into education, a discussion of the developmental process of creative mathematical thinking, an explanation of the position of art and mathematics in education today, and a summary of the benefits of arts integration and its positive effects on students. The empirical part reports on the findings of a pedagogical experiment involving two different ways of teaching fifth-grade students: the control group was taught mathematics in a traditional way, while the experimental group was taught with the integration of fine art content into the mathematics lessons. At the end of the teaching periods, four mathematics tests were administered in order to determine the difference in knowledge between the control group and the experimental group. The results of our study confirmed the hypotheses, as we found positive effects of fine art integration into mathematics, with the experimental group achieving higher marks in the mathematics tests than the control group. Our results are consistent with the findings of previous research and studies, which have demonstrated and confirmed that long-term participation in fine art activities offers advantages related to mathematical reasoning, such as intrinsic motivation, visual imagination and reflection on how to generate creative ideas.

  5. Making mathematics and science integration happen: key aspects of practice

    Science.gov (United States)

    Ríordáin, Máire Ní; Johnston, Jennifer; Walshe, Gráinne

    2016-02-01

    The integration of mathematics and science teaching and learning facilitates student learning, engagement, motivation, problem-solving, criticality and real-life application. However, the actual implementation of an integrative approach to the teaching and learning of both subjects at classroom level, with in-service teachers working collaboratively, at second-level education, is under-researched due to the complexities of school-based research. This study reports on a year-long case study on the implementation of an integrated unit of learning on distance, speed and time, within three second-level schools in Ireland. This study employed a qualitative approach and examined the key aspects of practice that impact on the integration of mathematics and science teaching and learning. We argue that teacher perspective, teacher knowledge of the 'other subject' and of technological pedagogical content knowledge (TPACK), and teacher collaboration and support all impact on the implementation of an integrative approach to mathematics and science education.

  6. Understanding Teachers' Pedagogical Knowledge: Report on an International Pilot Study. OECD Education Working Papers, No. 159

    Science.gov (United States)

    Sonmark, Kristina; Révai, Nóra; Gottschalk, Francesca; Deligiannidi, Karolina; Burns, Tracey

    2017-01-01

    What is the nature of teachers' pedagogical knowledge? The Innovative Teaching for Effective Learning Teacher Knowledge Survey (ITEL TKS) set out to answer this question in a pilot study that ran in five countries: Estonia, Greece, Hungary Israel, and the Slovak Republic. Using convenience samples, the pilot assessed the pedagogical knowledge base…

  7. The Effect of Teacher Education Programs on Future Elementary Mathematics Teachers' Knowledge: A Five-Country Analysis Using TEDS-M Data

    Science.gov (United States)

    Qian, Hong; Youngs, Peter

    2016-01-01

    This article addresses the problem of how opportunities to learn in teacher education programs influence future elementary mathematics teachers' knowledge. This study used data collected for the Teacher Education and Development Study in Mathematics (TEDS-M). TEDS-M measured the mathematics content knowledge (MCK) and the mathematics pedagogical…

  8. Science Teacher Educators’ Engagement with Pedagogical Content Knowledge and Scientific Inquiry in Predominantly Paper-Based Distance Learning Programs

    Directory of Open Access Journals (Sweden)

    William J. FRASER

    2017-10-01

    Full Text Available This article focuses on the dilemmas science educators face when having to introduce Pedagogical Content Knowledge (PCK to science student teachers in a predominantly paper-based distance learning environment. It draws on the premise that science education is bound by the Nature of Science (NOS, and by the Nature of Scientific Inquiry (NOSI. Furthermore, science educators’ own PCK, and the limitations of a predominantly paper-based distance education (DE model of delivery are challenges that they have to face when introducing PCK and authentic inquiry-based learning experiences. It deprives them and their students from optimal engagement in a science-oriented community of practice, and leaves little opportunity to establish flourishing communities of inquiry. This study carried out a contextual analysis of the tutorial material to assess the PCK that the student teachers had been exposed to. This comprised the ideas of a community of inquiry, a community of science, the conceptualization of PCK, scientific inquiry, and the 5E Instructional Model of the Biological Sciences Curriculum Study. The analysis confirmed that the lecturers had a good understanding of NOS, NOSI and science process skills, but found it difficult to design interventions to optimize the PCK development of students through communities of inquiry. Paper-based tutorials are ideal to share theory, policies and practices, but fail to monitor the engagement of learners in communities of inquiry. The article concludes with a number of suggestions to address the apparent lack of impact power of the paper-based mode of delivery, specifically in relation to inquiry-based teaching and learning (IBTL.

  9. A model of professional competences in mathematics to update mathematical and didactic knowledge of teachers

    Science.gov (United States)

    Díaz, Verónica; Poblete, Alvaro

    2017-07-01

    This paper describes part of a research and development project carried out in public elementary schools. Its objective was to update the mathematical and didactic knowledge of teachers in two consecutive levels in urban and rural public schools of Region de Los Lagos and Region de Los Rios of southern Chile. To that effect, and by means of an advanced training project based on a professional competences model, didactic interventions based on types of problems and types of mathematical competences with analysis of contents and learning assessment were designed. The teachers' competence regarding the didactic strategy used and its results, as well as the students' learning achievements are specified. The project made possible to validate a strategy of lifelong improvement in mathematics, based on the professional competences of teachers and their didactic transposition in the classroom, as an alternative to consolidate learning in areas considered vulnerable in two regions of the country.

  10. The Impact of a Curriculum Course on Pre-Service Primary Teachers' Science Content Knowledge and Attitudes towards Teaching Science

    Science.gov (United States)

    Murphy, Cliona; Smith, Greg

    2012-01-01

    Many primary school teachers have insufficient content and pedagogical knowledge of science. This lack of knowledge can often lead to a lack of confidence and competence in teaching science. This article explores the impact of a year-long science methodology (curriculum science) course on second year Bachelor of Education (BEd) students'…

  11. Teacher training and the use of digital information and communication technologies in mathematics classes in basic

    Directory of Open Access Journals (Sweden)

    Danilo Augusto Ferreira de Jesuz

    2018-01-01

    Full Text Available The current article has the objective of presenting results of a proposal of docent formation for the use digital technologies of information and communication inside mathematics classes, by using software GeoGebra. The proposal is part of an extension project, developed in the Federal Institute of Paraná at Jaguariaíva. We highlight that the project is revealed interesting, as it promotes formative action, articulating scientific and technological knowledges and gives opportunity of discussion moments about pedagogical strategies and changes of experience to the use of the software inside classes to the students.

  12. Specific Type of Knowledge Map: Mathematical Model

    OpenAIRE

    Milan, Houška; Martina, Beránková

    2005-01-01

    The article deals with relationships between mathematical models and knowledge maps. The goal of the article is to suggest how to use the mathematical model as a knowledge map and/or as a part (esp. the inference mechanism) of the knowledge system. The results are demonstrated on the case study, when the knowledge from a story is expressed by mathematical model. The model is used for both knowledge warehousing and inferencing new artificially derived knowledge.

  13. Preservice Teachers' Professional Knowledge and Its Relation to Academic Self-Concept

    Science.gov (United States)

    Paulick, Isabell; Großschedl, Jörg; Harms, Ute; Möller, Jens

    2016-01-01

    We investigated the factorial structure of preservice teachers' academic self-concept with regard to three domains of professional knowledge (content knowledge [CK], pedagogical content knowledge [PCK], and pedagogical/psychological knowledge [PPK]). We also analyzed the relation between preservice teachers' academic self-concept and their…

  14. Developing Mathematical Knowledge for Teaching in a Methods Course: The Case of Function

    Science.gov (United States)

    Steele, Michael D.; Hillen, Amy F.; Smith, Margaret S.

    2013-01-01

    This study describes teacher learning in a teaching experiment consisting of a content-focused methods course involving the mathematical knowledge for teaching function. Prospective and practicing teachers in the course showed growth in their ability to define function, to provide examples of functions and link them to the definition, in the…

  15. Physics Teacher Knowledge Aimed in Pedagogical Studies in Finland and in South Korea

    Science.gov (United States)

    Krzywacki, Heidi; Kim, Byeong-Chan; Lavonen, Jari

    2017-01-01

    This paper analyzes the pedagogical studies of Finnish and South Korean physics teacher education programs that guide teacher educators to support student teachers' to build readiness for acting as professional teachers in a secondary school classroom. Research on the domains and origin of teachers' professional knowledge provides a framework for…

  16. Reflection-for-action and the choice or design of examples in the teaching of mathematics

    Science.gov (United States)

    Olteanu, Constanta

    2017-09-01

    A qualitative study documented the use of examples in connection with reflection-for-action by mathematics educators. This article focuses on the use of mathematical examples that were chosen or designed by the teachers during lesson planning. The data are drawn from a 3-year project intended to make educational research in mathematics more useful to teachers. The focus in the present article was on how teachers reflected about students' learning as they prepared lessons. Analysis of the data showed that reflection-for-action was an effective teacher practice and useful for increasing the quality of the content the teacher intended to cover in a teaching situation. However, at the beginning of the study the teachers could not provide a proper explanation of what reflection was about. Their reflections were limited to preparing for the lessons in relation to the actual curriculum in Sweden. During the study, the teachers' reflection-for-action improved as a consequence of using patterns of variation in designing examples connected to the object of learning.

  17. MATHEMATICS TEACHER: MOVING KNOWLEDGE UNDER FORMATION

    Directory of Open Access Journals (Sweden)

    Roselaine Machado Albernaz

    2010-07-01

    Full Text Available This essay approaches the Mathematics teacher forming process from his/her experiences in the school system and the set of knowledge that hashistorical, philosophical and politically constituted him/her. This set of knowledge not only comprises academic knowledge, but also involves the subjective effects of knowledge it incorporates. Starting from a tale, the character, called ‘researcher-teacher’, conducts the text throughout questions about the forming processes of teachers of such a particular subject as Mathematics. The character seems to have an “interrogative something” which is peculiar to us, teachers, concerned about our disciplinary field. Having the objective of problematize the formation and knowledge of our character, her ways of being, thinking and perceiving, we intend to question, with and through her, the new requirements that have been demanded towards Mathematics teachers and the set of knowledge that constitute her, the way she is, her way of acting and taking  position in the school universe. The proposed essay seeks for an articulation between the fields of Art, Philosophy, Science and Education. It speaks about the intriguing school world, but not least, the ways we think to treat the forming process of Mathematics teachers from a set of logical, subjective and sensitive knowledge.  Key words: Forming process of teachers; mathematics; aesthetic experience; philosophy of difference.

  18. The role of social interaction and pedagogical cues for eliciting and reducing overimitation in preschoolers.

    Science.gov (United States)

    Hoehl, Stefanie; Zettersten, Martin; Schleihauf, Hanna; Grätz, Sabine; Pauen, Sabina

    2014-06-01

    The tendency to imitate causally irrelevant actions is termed overimitation. Here we investigated (a) whether communication of a model performing irrelevant actions is necessary to elicit overimitation in preschoolers and (b) whether communication of another model performing an efficient action modulates the subsequent reduction of overimitation. In the study, 5-year-olds imitated irrelevant actions both when they were modeled by a communicative and pedagogical experimenter and when they were modeled by a non-communicative and non-pedagogical experimenter. However, children stopped using the previously learned irrelevant actions only when they were subsequently shown the more efficient way to achieve the goal by a pedagogical experimenter. Thus, communication leads preschoolers to adapt their imitative behavior but does not seem to affect overimitation in the first place. Results are discussed with regard to the importance of communication for the transmission of cultural knowledge during development. Copyright © 2014 Elsevier Inc. All rights reserved.

  19. Comparing pedagogy in mathematics in Denmark and England

    DEFF Research Database (Denmark)

    Dorf, Hans; Kelly, Peter; Hohmann, Ulrike

    2013-01-01

    This paper reports the findings of a comparative study of pedagogy in lower-secondary school mathematics in Denmark and England. Lesson observations and interviews identified the range of goals towards which teachers in each country worked and the actions these prompted. These were clustered using...... the lens of Bernstein’s pedagogic discourse (1990; 1996) to construct mathematics teacher roles which provided a view of pedagogy. Comparison allowed variations in pedagogy across the two countries to be identified and implications drawn. Of particular interest were the differences in experience of lower...... attaining pupils, and some of the advantages and disadvantages of mathematics pedagogy in each country for this group are indicated....

  20. Exploring one aspect of pedagogical content knowledge of teaching assistants using the Conceptual Survey of Electricity and Magnetism

    Science.gov (United States)

    Karim, Nafis I.; Maries, Alexandru; Singh, Chandralekha

    2018-06-01

    The Conceptual Survey of Electricity and Magnetism (CSEM) has been used to assess student understanding of introductory concepts of electricity and magnetism because many of the items on the CSEM have strong distractor choices which correspond to students' alternate conceptions. Instruction is unlikely to be effective if instructors do not know the common alternate conceptions of introductory physics students and explicitly take into account common student difficulties in their instructional design. Here, we discuss research involving the CSEM to evaluate one aspect of the pedagogical content knowledge of teaching assistants (TAs): knowledge of introductory students' alternate conceptions in electricity and magnetism as revealed by the CSEM. For each item on the CSEM, the TAs were asked to identify the most common incorrect answer choice selected by introductory physics students if they did not know the correct answer after traditional instruction. Then, we used introductory student CSEM post-test data to assess the extent to which TAs were able to identify the most common alternate conception of introductory students in each question on the CSEM. We find that the TAs were thoughtful when attempting to identify common student difficulties and they enjoyed learning about student difficulties this way. However, they struggled to identify many common difficulties of introductory students that persist after traditional instruction. We discuss specific alternate conceptions that persist after traditional instruction, the extent to which TAs were able to identify them, and results from think-aloud interviews with TAs which provided valuable information regarding why the TAs sometimes selected certain alternate conceptions as the most common but were instead very rare among introductory students. We also discuss how tasks such as the one used in this study can be used in professional development programs to engender productive discussions about the importance of being

  1. Coupling knowledge and action in the management context

    DEFF Research Database (Denmark)

    Mazza, Carmelo; Strandgaard Pedersen, Jesper; Alvarez, José Luis

    2003-01-01

    In the last decade, scholarly interest has been mainly attracted on the nature of knowledge,mechanisms of knowledge production and the transformation of the institutions diffusingknowledge. Most of these studies share the underlying hypotheses that management knowledge`travels', as a package, from...... on priorities and undertake specific courses of actions This supports theidea that the managerial role is intrinsically political.Second, management education cannot simply deals with managerial recipes and rules of thumb. Itis increasingly asked for providing non-technical knowledge to help managers exert...... their politicalrole. To mobilize constituencies and create consensus on controversial decisions, technicalitiescould be less relevant than business-unrelated knowledge. We hold that has a relevant impact onboth the institutional settings and the content of management education.The paper is structured in three parts...

  2. Exploring Turkish Mathematics Teachers' Content Knowledge of Quadrilaterals

    Science.gov (United States)

    Butuner, Suphi Onder; Filiz, Mehmet

    2017-01-01

    The aim of this research was to examine mathematics teachers' performances in defining special types of quadrilaterals, identifying their family and hierarchically classifying them. In this vein, 33 of 58 primary school mathematics teachers working in the province of Yozgat, Turkey were voluntarily recruited for this survey, and they were asked to…

  3. The Essence of the Concept “Ethno-Pedagogical Competence”

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    Botakoz A. Zhekibaeva

    2014-03-01

    Full Text Available The paper discloses the nature and content of the notion “ethno-pedagogical competence”, based on a study of scientific works of Russian and foreign researchers. The analysis of these works shows that ethno-pedagogical competence as a scientific and pedagogical problem is disclosed in the ethno-pedagogical concept and is associated with the development of ethno-pedagogical science. The article presents an analysis of the definitions of “ethno-pedagogical competence” by several scientists; it discloses the driving conditions of the development of ethno-pedagogical competence in modern pedagogical science. The necessity of forming ethno-pedagogical competences as part of the training process of the future teachers at the university has been proven. The article defines more precisely the notion of “ethno-pedagogical competence of future teachers”, which is considered to be a set of integrative professionally significant personal qualities, contributing to the implementation of ethno-pedagogical knowledge, skills and professional experience in the conditions of a multi-ethnic educational environment.

  4. Learning Trajectory for Transforming Teachers' Knowledge for Teaching Mathematics and Science with Digital Image and Video Technologies in an Online Learning Experience

    Science.gov (United States)

    Niess, Margaret L.; Gillow-Wiles, Henry

    2014-01-01

    This qualitative cross-case study explores the influence of a designed learning trajectory on transforming teachers' technological pedagogical content knowledge (TPACK) for teaching with digital image and video technologies. The TPACK Learning Trajectory embeds tasks with specific instructional strategies within a social metacognitive…

  5. Is Teacher Knowledge Associated with Performance? On the Relationship between Teachers' General Pedagogical Knowledge and Instructional Quality

    Science.gov (United States)

    König, Johannes; Pflanzl, Barbara

    2016-01-01

    Researchers have identified general pedagogical knowledge (GPK) as a relevant category of teacher knowledge. However, hardly any study has examined the relationship between GPK of teachers and the instructional quality delivered to their students. This article therefore investigates the relationship between teachers' GPK assessed via a…

  6. Physics Content and Pedagogical Changes: Ramification of Theory and Practice

    Science.gov (United States)

    Cobbinah, Charles; Bayaga, Anass

    2017-01-01

    The aim of this study was to explore physics teachers' ramification of theory and practices as a result of physics content and pedagogical changes in the Further Education and Training (FET) phase. The researchers adopted the mixed method research approach. The quantitative aspect involved 109 physics teachers and the qualitative approach used ten…

  7. Tech-Savvy Science Education? Understanding Teacher Pedagogical Practices for Integrating Technology in K-12 Classrooms

    Science.gov (United States)

    Hechter, Richard; Vermette, Laurie Anne

    2014-01-01

    This paper examines the technology integration practices of Manitoban K-12 inservice science educators based on the Technological, Pedagogical, and Content knowledge (TPACK) framework. Science teachers (n = 433) completed a 10-item online survey regarding pedagogical beliefs about technology integration, types of technology used, and how often…

  8. Applying Technological Pedagogical and Content Knowledge (TPACK) model to develop an online English writing course for nursing students.

    Science.gov (United States)

    Tai, Hung-Cheng; Pan, Mei-Yu; Lee, Bih-O

    2015-06-01

    Learning English as foreign language and computer technology are two crucial skills for nursing students not only for the use in the medical institutions but also for the communication needs following the trend of globalization. Among language skills, writing has long been ignored in the curriculums although it is a core element of language learning. To apply the TPACK (Technological Pedagogical and Content Knowledge) model to design an online English writing course for nursing students, and to explore the effects of the course to the students' learning progress as well as their satisfactions and perceptions. A single-group experimental study, utilizing the CEEC (College Entrance Examination Center) writing grading criteria and a self-designed course satisfaction questionnaire, is used. Fifty one nursing students who were in their first/four semesters of the two year vocational pre-registration nursing course in a Taiwan university were selected using convenience sampling. Quantitative data were analyzed using descriptive statistics and repeated measure MANOVA. Qualitative data were analyzed by content analysis. Students' writing competence had been improved significantly in every dimension after the instruction. Only half of the learners preferred online writing compared to the traditional way of writing by hand. Additionally, participants reported that they would prefer to receive feedback from the teacher than peers, yet they did not like the indirect feedback. The teacher perceived the course as meaningful but demanding for both learning and teaching sides. To implement the peer review activities and give feedback on time were two major challenges during the cycles. The TPACK model suggests a comprehensive and effective teaching approach that can help enhance nursing students' English writing performance. Teachers are advised to consider its implementation when designing their syllabus. Copyright © 2015 Elsevier Ltd. All rights reserved.

  9. The Spectrum of Pedagogical Orientations of Malawian and South African Physical Science Teachers towards Inquiry

    Science.gov (United States)

    Ramnarain, Umesh; Nampota, Dorothy; Schuster, David

    2016-01-01

    This study investigated and compared the pedagogical orientations of physical sciences teachers in Malawi and South Africa towards inquiry or direct methods of science teaching. Pedagogical orientation has been theorized as a component of pedagogical content knowledge. Orientations were characterized along a spectrum of two variants of inquiry and…

  10. Relatos de experiencia, saber pedagógico y reconstrucción de la memoria escolar Statements of experience, pedagogical knowledge and reconstruction of the school memory

    Directory of Open Access Journals (Sweden)

    Daniel H. Suárez

    2011-04-01

    Full Text Available El artículo explora las potencialidades teóricas, metodológicas y políticas de la documentación narrativa de experiencias pedagógicas como dispositivo de investigación-formación-acción entre docentes y modalidad de trabajo colaborativo orientado a la reconstrucción de la memoria pedagógica de la escuela y al cambio educativo. Para ello, propone una mirada pedagógica de las escuelas, los docentes y el currículum, vincula en términos teóricos la narrativa docente, la memoria pedagógica y el currículum en acción, presenta argumentos a favor del diseño de formas de documentación pedagógica alternativas a las dominantes, pondera los relatos de experiencias pedagógicas como otra manera de nombrar el mundo escolar, se interroga e identifica potencialidades críticas de la estrategia, pone en consideración una definición amplia de saber pedagógico e imagina algunas implicancias intelectuales y políticas de la difusión de estas modalidades alternativas de producción de saber pedagógico, formación entre pares e intervención política en el campo pedagógico.The article explores the methodological, theoretical and political potentialities of the narrative documentation of pedagogical experiences as an instrument of educational action research among teachers and as a modality of collaborative work orientated to the reconstruction of the pedagogical memory of the school and to the educational change. Thus, it proposes a pedagogical view of the schools, the teachers and the curriculum, connects in theoretical terms the teacher's narrative, the pedagogical memory and the curriculum in action, presents arguments in favor of the drawing of alternative forms of pedagogical documentation to the dominant ones, shows the statements of pedagogical experiences as another way of naming the school world, asks and identifies critical potentialities of strategy, puts in consideration a wide definition of pedagogical knowledge and imagines

  11. Middle school teachers' familiarity with, interest in, performance on, and conceptual and pedagogical knowledge of light

    Science.gov (United States)

    Mbewe, Simeon

    The purpose of this study was threefold: Examine middle school teachers' familiarity with, interest in, conceptual knowledge of and performance on light; Examine their ability to identify misconceptions on light and their suggested pedagogical ideas to address the identified misconceptions; and Establish the relationship between the middle school teachers' interest, familiarity, conceptual understanding, performance, misconception identification, and pedagogical ideas for light. Sixty six (66) middle school science teachers enrolled in three math and science teacher professional development projects at Southern Illinois University Carbondale participated in this study. This study used mixed-methods approach to collect and analyze data. The participants responded in writing to four different instruments: Familiarity and Interest Questionnaire, Conceptual Knowledge Test, Two-tier Performance Test, and Misconceptions Identification Questionnaire. Data was analyzed quantitatively by conducting non-parametric (Wilcoxon, Mann-Whitney U, and Kruskal-Wallis) and parametric (paired samples, independent samples, and One-Way ANOVA) tests. Qualitative data was analyzed using thematic analysis and open coding to identify emerging themes and categories. The results showed that the teachers reported high levels of familiarity with and interest in learning more about light concepts. However, they had low conceptual knowledge and performance on light concepts. As such, middle school teachers' perceived knowledge of light concepts was not consistent with their actual knowledge of light. To some extent, the teachers identified students' misconceptions expressed in some scenarios on light and also suggested pedagogical ideas for addressing such misconceptions in middle school science classrooms. However, most teachers did not provide details on their pedagogical ideas for light. Correlations among the four constructs (familiarity, interest, conceptual understanding, and performance

  12. To What Extent Is Mathematical Ability Predictive of Performance in a Methodology and Statistics Course? Can an Action Research Approach Be Used to Understand the Relevance of Mathematical Ability in Psychology Undergraduates?

    Science.gov (United States)

    Bourne, Victoria J.

    2014-01-01

    Research methods and statistical analysis is typically the least liked and most anxiety provoking aspect of a psychology undergraduate degree, in large part due to the mathematical component of the content. In this first cycle of a piece of action research, students' mathematical ability is examined in relation to their performance across…

  13. Learning literacy and content through video activities in primary education

    NARCIS (Netherlands)

    Heitink, Maaike Christine; Fisser, Petra; McKenney, Susan; Resta, P.

    2012-01-01

    This case study research explored to what extent and in which ways teachers used Technological Pedagogical Content Knowledge (TPCK) and related competencies to implement video activities in primary education. Three Dutch teachers implemented video activities to improve students‟ content knowledge

  14. Natural Cognitive Foundations of Teacher Knowledge : An Evolutionary and Cognitive Load Account

    OpenAIRE

    Dessus , Philippe; Tanguy , Franck; Tricot , André

    2015-01-01

    International audience; Instructional process management (encompassing instructional design and classroom management) is known to be very complex, mainly due to its context and the large and diverse amount of knowledge driving it: content knowledge, pedagogical knowledge (PK), curriculum knowledge, knowledge of learners and their characteristics, knowledge of educational contexts, pedagogical content knowledge, and knowledge of educational ends (Shulman, 1987). This complexity makes researche...

  15. Can improving teachers' knowledge of mathematics lead to gains in ...

    African Journals Online (AJOL)

    It is wellknown that the majority of South African learners achieve extremely poorly in Mathematics. Many claim that one of the causes of this poor attainment is teachers' weak knowledge of mathematics, and propose that improving teachers' mathematical knowledge would improve learner attainment. However, the ...

  16. Pedagogic workshops: assembling strategies for academician action – experience of report

    OpenAIRE

    Maristella Santos Nascimento; Flávia Pedro dos Anjos Santos; Vanda Palmarella Rodrigues; Valéria Alves da Silva Nery

    2007-01-01

    The formation of professional nurses requests the most efficient teaching which confers him competence in achievement of activitie of aid, managing, teaching and investigation. In this perspective the pedagogic workshops consist of alternative forms of approach in the construction of space for the exercise of position and critic. It has as its goal to give a subsidy to the disciples in the adjustment of knowledge and the promotion of exchange of knowledge. This study consists in a descript...

  17. The Effects of a Systematically Designed Online Learning Environment on Preservice Teachers' Professional Knowledge

    Science.gov (United States)

    Evens, Marie; Larmuseau, Charlotte; Dewaele, Katrien; Van Craesbeek, Leen; Elen, Jan; Depaepe, Fien

    2017-01-01

    This study examines the effects of an online learning environment on preservice teachers' pedagogical content knowledge (PCK), content knowledge (CK) (related to French in primary teacher education), and pedagogical knowledge (PK) in a quasi-experimental design. More specifically, the following research question is addressed: Is a systematically…

  18. Current Approaches in the Ethnomathematics as a Program: delineating a path toward pedagogical action Abordagens Atuais do Programa Etnomatemática: delineando um caminho para a ação pedagógica

    Directory of Open Access Journals (Sweden)

    Milton Rosa

    2008-02-01

    Full Text Available In this article, we present approaches for ethnomathematics as a program founded on current research in ethnomathematics as directed towards ethnographic, anthropological, and pedagogical actions studies of distinct cultural groups. In the current context, there is a great necessity for ethnomathematics-based programs to identify and seek teaching-learning practices directed towards pedagogical action. The great challenge for researchers in ethnomathematics is to further elaborate studies and pedagogical practices that are in accordance with the philosophical-theoretical objectives of this program. As well, we outline a curriculum proposal based on the “trivium” literacy, matheracy, and technocracy that permits the development of school-based activities based on an ethnomathematics perspective. Key Words: Pedagogical Action. Ethnomathematics. Pedagogical Practices. Curriculum. Mathematization.Apresentamos, neste artigo, as abordagens atuais para o programa etnomatemática, fundamentadas em estudos direcionados à perspectiva antropológico-etnográfica e à ação pedagógica. No contexto atual, existe umagrande necessidade de que o programa etnomatemática seja identificado como um programa que busca as práticas de ensino-aprendizagem em matemática, as quais estão direcionadas à ação pedagógica. Acreditamos que o grande desafio para os pesquisadores é elaborar estudos e práticas pedagógicas que estejam de acordo com os objetivos filosófico-teóricos deste programa. Assim, delineamos uma proposta curricular baseada no trivium literacia, materacia e tecnoracia, que permite desenvolver atividades escolares alicerçadas na perspectiva etnomatemática. Palavras Chaves: Ação Pedagógica. Etnomatemática. Práticas Pedagógicas. Currículo. Matematização.

  19. Engaging Elementary Students in the Creative Process of Mathematizing Their World through Mathematical Modeling

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    Jennifer M. Suh

    2017-06-01

    Full Text Available This paper examines the experiences of two elementary teachers’ implementation of mathematical modeling in their classrooms and how the enactment by the teachers and the engagement by students exhibited their creativity, critical thinking, collaboration and communication skills. In particular, we explore the questions: (1 How can phases of mathematical modeling as a process serve as a venue for exhibiting students’ critical 21st century skills? (2 What were some effective pedagogical practices teachers used as they implemented mathematical modeling with elementary students and how did these promote students’ 21st century skills? We propose that mathematical modeling provides space for teachers and students to have a collective experience through the iterative process of making sense of and building knowledge of important mathematical ideas while engaging in the critical 21st century skills necessary in our complex modern world.

  20. Teacher spatial skills are linked to differences in geometry instruction.

    Science.gov (United States)

    Otumfuor, Beryl Ann; Carr, Martha

    2017-12-01

    Spatial skills have been linked to better performance in mathematics. The purpose of this study was to examine the relationship between teacher spatial skills and their instruction, including teacher content and pedagogical knowledge, use of pictorial representations, and use of gestures during geometry instruction. Fifty-six middle school teachers participated in the study. The teachers were administered spatial measures of mental rotations and spatial visualization. Next, a single geometry class was videotaped. Correlational analyses revealed that spatial skills significantly correlate with teacher's use of representational gestures and content and pedagogical knowledge during instruction of geometry. Spatial skills did not independently correlate with the use of pointing gestures or the use of pictorial representations. However, an interaction term between spatial skills and content and pedagogical knowledge did correlate significantly with the use of pictorial representations. Teacher experience as measured by the number of years of teaching and highest degree did not appear to affect the relationships among the variables with the exception of the relationship between spatial skills and teacher content and pedagogical knowledge. Teachers with better spatial skills are also likely to use representational gestures and to show better content and pedagogical knowledge during instruction. Spatial skills predict pictorial representation use only as a function of content and pedagogical knowledge. © 2017 The British Psychological Society.

  1. Bibliometric study of pedagogical sciences’ contents in the corpus of Transformación journal

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    García, Maylin

    2014-07-01

    Full Text Available The paper describes the findings of a biblio-metric research of Transformación corpus aimed at the knowledge of the main sources consulted by the authors and its correspondence to the main contribution of the scientific community to the development of pedagogical sciences in Cuba. The total number of issues and articles published between 2011 and 2013 were selected as sample. 933 consulted works were studied and the references were grouped into belonging and not-belonging to campus’ authors. Likewise, the papers refers to the number of Ph. D. and master dissertations, research reports and pedagogical journal articles used as references. Finally, the findings were correlated to the selection of books suggested by Chávez, Deler y Suárez in “La actualidad de la pedagogía y la didáctica en Cuba” (2009. Key words: Biliometry, biblio-metric indicators, bibliography refences.

  2. Adaptation of mathematical educational content in e-learning resources

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    Yuliya V. Vainshtein

    2017-01-01

    Full Text Available Modern trends in the world electronic educational system development determine the necessity of adaptive learning intellectual environments and resources’ development and implementation. An upcoming trend in improvement the quality of studying mathematical disciplines is the development and application of adaptive electronic educational resources. However, the development and application experience of adaptive technologies in higher education is currently extremely limited and does not imply the usage flexibility. Adaptive educational resources in the electronic environment are electronic educational resources that provide the student with a personal educational space, filled with educational content that “adapts” to the individual characteristics of the students and provides them with the necessary information.This article focuses on the mathematical educational content adaptation algorithms development and their implementation in the e-learning system. The peculiarity of the proposed algorithms is the possibility of their application and distribution for adaptive e-learning resources construction. The novelty of the proposed approach is the three-step content organization of the adaptive algorithms for the educational content: “introductory adaptation of content”, “the current adaptation of content”, “estimative and a corrective adaptation”. For each stage of the proposed system, mathematical algorithms for educational content adaptation in adaptive e-learning resources are presented.Due to the high level of abstraction and complexity perception of mathematical disciplines, educational content is represented in the various editions of presentation that correspond to the levels of assimilation of the course material. Adaptation consists in the selection of the optimal edition of the material that best matches the individual characteristics of the student. The introduction of a three-step content organization of the adaptive

  3. The Impact of Self-Perceived Subject Matter Knowledge on Pedagogical Decisions in EFL Grammar Teaching Practices

    Science.gov (United States)

    Sanchez, Hugo Santiago

    2014-01-01

    Recent developments in language teacher cognition research highlight the need to explore subject matter knowledge in relation to classroom practice. This study examines the impact of two foreign language teachers' knowledge about grammar upon their pedagogical decisions. The primary database consisted of classroom observations and post-lesson…

  4. Professionalizing In-Service Teachers' Focus on Technological Pedagogical and Content Knowledge

    Science.gov (United States)

    Getenet, Seyum Tekeher; Beswick, Kim; Callingham, Rosemary

    2016-01-01

    In Ethiopia, primary school teachers of science and mathematics are encouraged to integrate Information and Communication Technology (ICT) into their teaching as a means to improve the quality of education. However, there has not been the same emphasis placed on providing professional learning opportunities for teachers on how to use ICT in their…

  5. Mediated Effects of Technology Competencies and Experiences on Relations among Attitudes Towards Technology Use, Technology Ownership, and Self Efficacy about Technological Pedagogical Content Knowledge

    Science.gov (United States)

    Yerdelen-Damar, Sevda; Boz, Yezdan; Aydın-Günbatar, Sevgi

    2017-08-01

    This study examined the relations of preservice science teachers' attitudes towards technology use, technology ownership, technology competencies, and experiences to their self-efficacy beliefs about technological pedagogical content knowledge (TPACK). The present study also investigated interrelations among preservice teachers' attitudes towards technology use, technology ownership, technology competencies, and experiences. The participants of study were 665 elementary preservice science teachers (467 females, 198 males) from 7 colleges in Turkey. The proposed model based on educational technology literature was tested using structural equation modeling. The model testing results revealed that preservice teachers' technology competencies and experiences mediated the relation of technology ownership to their TPACK self efficacy beliefs. The direct relation of their possession of technology to their TPACK self efficacy beliefs was insignificant while the indirect relation through their technology competencies and experiences was significant. The results also indicated there were significant direct effects of preservice teachers' attitudes towards technology use, technology competencies, and experiences on their TPACK self efficacy beliefs.

  6. Narrative Review of Pedagogical Interventions on Nutrition Knowledge and Weight Prejudice

    Science.gov (United States)

    Werkhoven, Thea; Cotton, Wayne; Dudley, Dean

    2016-01-01

    Objectives: To synthesize and review pedagogically informed interventions that increase nutrition knowledge and decrease weight prejudice among practicing and pre-service health and education professionals. These factors have been addressed as separate entities in intervention-based research and this represents a gap in current literature. The…

  7. Knowledge in action in weaving

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    Viveka Berggren Torell

    2014-04-01

    Full Text Available The project “Design, craft and culture” had the purpose of co-production of knowledge between the University of Borås and the small-scale enterprise Vävkompaniet (The weaving company. The practitioners’ wanted to get insights into competences previously “hidden” in their knowledge in action; competences that could be the base for development of products and ways to reach customers. From academic point of view the main goal was to produce films aimed shedding light on knowledge in action. The result is four educational films aimed at students.This article is based on interpretations of films and interviews from places where the handweavers produce their products. A researcher and a weaving teacher studied their work, while the photographer filmed the artisans’ body movements. Questions and words, in a language which fits the events of the practice, can make practitioners sharpen their attention and direct it at critical points in the practice that they accomplish. By interviews done in a conversation-like way during observations, a space for such reflections was created. The weavers shared meanings on their position in the field of craft and detailed descriptions of crafting practices with the research team. Regarding the design process, because of their material rather than conceptual approach to craftwork, the weavers brought up the importance of sample weaving. While work with dressing the looms and weaving then continued many empirical examples of aspects of knowledge in action could be observed. The importance of routine, rhythm, bodily skills, senses, judgement and experience are brought up in the text.Key words: textile craft, weaving, tacit knowledge, knowledge in action, senses, visual ethnography

  8. INTERSUBJECT CONNECTIONS OF COURSE OF MATHEMATICAL LOGIC AND OTHER MATHEMATICAL COURSES AT PREPARATION OF FUTURE TEACHER OF MATHEMATICS

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    Yu.I. Sinko

    2012-03-01

    Full Text Available In this article the interconnections of course of mathematical logic with other mathematical courses – geometry, algebra and theory of numbers, mathematical analysis, and also with the courses of mathematics teaching methodology, history of mathematics in the system of preparation of teachers of mathematics in pedagogical Institute of higher education are analyzed. The presence of connections between the elements of the system and their quality is the important description of the pedagogical system.

  9. The Efficacy of Educative Curriculum Materials to Support Geospatial Science Pedagogical Content Knowledge

    Science.gov (United States)

    Bodzin, Alec; Peffer, Tamara; Kulo, Violet

    2012-01-01

    Teaching and learning about geospatial aspects of energy resource issues requires that science teachers apply effective science pedagogical approaches to implement geospatial technologies into classroom instruction. To address this need, we designed educative curriculum materials as an integral part of a comprehensive middle school energy…

  10. Experiential knowledge of expert coaches can help identify informational constraints on performance of dynamic interceptive actions.

    Science.gov (United States)

    Greenwood, Daniel; Davids, Keith; Renshaw, Ian

    2014-01-01

    Coordination of dynamic interceptive movements is predicated on cyclical relations between an individual's actions and information sources from the performance environment. To identify dynamic informational constraints, which are interwoven with individual and task constraints, coaches' experiential knowledge provides a complementary source to support empirical understanding of performance in sport. In this study, 15 expert coaches from 3 sports (track and field, gymnastics and cricket) participated in a semi-structured interview process to identify potential informational constraints which they perceived to regulate action during run-up performance. Expert coaches' experiential knowledge revealed multiple information sources which may constrain performance adaptations in such locomotor pointing tasks. In addition to the locomotor pointing target, coaches' knowledge highlighted two other key informational constraints: vertical reference points located near the locomotor pointing target and a check mark located prior to the locomotor pointing target. This study highlights opportunities for broadening the understanding of perception and action coupling processes, and the identified information sources warrant further empirical investigation as potential constraints on athletic performance. Integration of experiential knowledge of expert coaches with theoretically driven empirical knowledge represents a promising avenue to drive future applied science research and pedagogical practice.

  11. Pinning and Practice: Using Pinterest as a Tool for Developing Pedagogical Content Knowledge

    Science.gov (United States)

    Grote-Garcia, Stephanie; Vasinda, Sheri

    2014-01-01

    Pinterest (http://www.pinterest.com/) is one of the fastest growing social media sites (Duggan & Smith, 2013) and teachers are using it more and more for pedagogical ideas. In response to the increased use of social media in K-12 classrooms, it is highly important to prepare preservice teachers to incorporate these tools into their pedagogy.…

  12. Mathematical knowledge for teaching in the Netherlands

    NARCIS (Netherlands)

    Ronald Keijzer; Marjolein Kool

    2012-01-01

    The implementation of the new mathematical knowledge base in Dutch teacher education institutes for primary education raises a need for curriculum development. Teacher educators have to raise student teachers’ subject matter knowledge to a higher level. In working on this aim teacher educators

  13. Active Learning to Improve Fifth Grade Mathematics Achievement in Banten

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    Andri Suherman

    2011-12-01

    Full Text Available Teaching for active learning is a pedagogical technique that has been actively promoted in Indonesian education through government reform efforts and international development assistance projects for decades. Recently, elementary schools in Banten province received training in active learning instructional strategies from the USAID-funded project, Decentralized Basic Education 2. Post-training evaluations conducted by lecturers from the University of Sultan Ageng Tirtayasa (UNTIRTA: Universitas Sultan Ageng Tirtayasa suggested that teachers were successfully employing active learning strategies in some subjects, but not mathematics. In order to understand the difficulties teachers were having in teaching for active learning in mathematics, and to assist them in using active learning strategies, a team of lecturers from UNTIRTA designed and carried out an action research project to train teachers in an elementary school in the city of Cilegon to use a technique called Magic Fingers in teaching Grade 5 multiplication. During the course of the project the research team discovered that teachers were having problems transferring knowledge gained from training in one context and subject to other school subjects and contexts. Key Words: Mathematics, Teaching for Active Learning, Indonesia, Banten

  14. Pre-service teachers' mathematical knowledge for teaching basic ...

    African Journals Online (AJOL)

    This study measured pre-service teachers' mathematical knowledge for teaching (MKT) basic school mathematics. MKT multiple-choice test was administered to 100 pre-service teachers from two colleges of education (located at Mampong in the Ashanti Region of Ghana) to assess their mathematical knowledge for ...

  15. Licensure tests for special education teachers: how well they assess knowledge of reading instruction and mathematics.

    Science.gov (United States)

    Stotsky, Sandra

    2009-01-01

    To determine the extent to which knowledge of evidence-based reading instruction and mathematics is assessed on licensure tests for prospective special education teachers, this study drew on information provided by Educational Testing Service (ETS), the American Board for Certification of Teacher Excellence, and National Evaluation Systems (now Evaluation Systems group of Pearson). It estimated the percentage of test items on phonemic awareness, phonics, and vocabulary knowledge and on mathematics content. It also analyzed descriptions of ETS's tests of "principles of teaching and learning." Findings imply that prospective special education teachers should be required to take both a dedicated test of evidence-based reading instructional knowledge, as in California, Massachusetts, and Virginia, and a test of mathematical knowledge, as in Massachusetts. States must design their own tests of teaching principles to assess knowledge of evidence-based educational theories.

  16. Master mathematics teachers as mentors for underperforming and disadvantaged schools

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    Annemarie Hattingh

    2009-09-01

    Full Text Available The work of teachers has a significant role both with regard to learners’ achievement and their opportunities in life. In the context of a developing country, particularly with respect to township and rural schools, it is a common occurrence that many practising teachers are un- or under qualified for the teaching of mathematics. What kind of professional development would be effective for upgrading the content knowledge and professional competence of such teachers? It is the aim of this article to give an overview of a professional development approach, called mentorship by master mathematics teachers, which had a positive effect both on teacher learning and their learners’ performance. Where mentorship usually focuses on the induction of beginning or student teachers, the Teacher Mentorship Programme (TMP in this case, had as its target experienced teachers who had been teaching mathematics for years in township schools, but without the appropriate qualifications. The mentee teachers had never previously, due to no fault of their own, been exposed to excellent teaching practices as learners, student or practising teachers. The TMP was an initiative of a university’s Faculty of Engineering, that collaborated with private engineering companies and the Department of Education with the aim of preparing more and better equipped Grade 12 leavers who enrol for studies in engineering and technology related fields. The intended outcomes of the TMP were: To improve teachers’ content knowledge, pedagogical competence and attitude towards mathematics and science. To broaden teachers’ knowledge of careers related to the mathematics, science and technology fields. To improve learners’ attitudes towards mathematics, science and related careers. To increase the number of learners who enrol for mathematics on the higher grade which is the equivalent of “core” mathematics in the new National Curriculum Statement.Why a mentorship programme

  17. Content and Language Integrated Learning in the Netherlands: Teachers' Self-Reported Pedagogical Practices

    Science.gov (United States)

    van Kampen, Evelyn; Admiraal, Wilfried; Berry, Amanda

    2018-01-01

    In recent years, a surging uptake of content and language integrated learning (CLIL) has permeated the European context. This article presents the outcomes of a study about the self-reported pedagogical practices of CLIL teachers in the Netherlands. To investigate these teachers' pedagogies, a questionnaire was designed, validated and,…

  18. The construction of new mathematical knowledge in classroom interaction an epistemological perspective

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    Steinbring, Heinz

    2005-01-01

    Mathematics is generally considered as the only science where knowledge is uni­ form, universal, and free from contradictions. „Mathematics is a social product - a 'net of norms', as Wittgenstein writes. In contrast to other institutions - traffic rules, legal systems or table manners -, which are often internally contradictory and are hardly ever unrestrictedly accepted, mathematics is distinguished by coherence and consensus. Although mathematics is presumably the discipline, which is the most differentiated internally, the corpus of mathematical knowledge constitutes a coher­ ent whole. The consistency of mathematics cannot be proved, yet, so far, no contra­ dictions were found that would question the uniformity of mathematics" (Heintz, 2000, p. 11). The coherence of mathematical knowledge is closely related to the kind of pro­ fessional communication that research mathematicians hold about mathematical knowledge. In an extensive study, Bettina Heintz (Heintz 2000) proposed that the historical develo...

  19. Participatory Action Research for Development of Prospective Teachers' Professionality during Their Pedagogical Practice

    Science.gov (United States)

    Strode, Aina

    2015-01-01

    Implementation of participatory action research during pedagogical practice facilitates sustainable education because its objective is to understand professional practice, enrich the capacity of involved participants and an opportunity to make inquiries for the improvement of quality. In the research of professional practice, subjects explore…

  20. MODERN TRENDS TO UPGRADE THE PROFESSIONAL TRAINING SYSTEM OF THE FUTURE MATHEMATICS TEACHER

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    Tatochenko V.

    2017-12-01

    Full Text Available An article devoted to the actual problem of professional pedagogical education - the modern tendencies of updating the system of professional training of the future teacher of mathematics. The relevance of the study is due to rapid changes in society, which involve making changes to the goal of preparing speech to life, which requires the teacher to transition from the knowledge model to the competent. This necessitates a fundamental need to rethink all the factors on which the quality of the educational process depends. In the article, based on the analysis of social production in societies of different types, the goal of general education at the stage of transition from industrial to postindustrial society is specified. The specified purpose explains the necessity of changes as a mathematical education in general educational institutions, as well as the system of professional training of teachers of mathematics. On the basis of the analysis of the state of the problem, a number of contradictions in the preparation of future mathematics teachers who will work in qualitatively new conditions of postindustrial information societies, which are characterized by rapid development and dynamism, is highlighted, the problem of preparing teachers for professional activity in a new, communicative environment, when the aging of information occurs faster than the educational cycle in an educational institution ends. The term "professional activity of the teacher of mathematics" is defined as a holistic purposeful complex open volatile dynamic pedagogical system, the functioning of which involves resistance to certain subsystems that ensure the readiness of students for effective pedagogical activity. The interconnection of subsystems on the basis of their integration allows achieving the main goal of the system - to prepare a competent teacher of mathematics. The functioning of such a system provides the creation of conditions for the development of the

  1. The Online Learning Knowledge Garden: A Pedagogic Planning Tool for e-Learning

    NARCIS (Netherlands)

    Scott, Bernard

    2006-01-01

    Please, cite this publication as: Scott, B. (2006). The Online Learning Knowledge Garden: A Pedagogic Planning Tool for e-Learning. Proceedings of International Workshop in Learning Networks for Lifelong Competence Development, TENCompetence Conference. March 30th-31st, Sofia, Bulgaria:

  2. The role ofcontextualinterpretationofthe mathematical resultsin professional formation

    OpenAIRE

    Eurico WongoGungula; Raquel Diéguez Batista; Eglys Pérez Ugartemendía

    2013-01-01

    This article aims to approach the application of mathematical problems results, using criteria issued by teachers, pre-university and university students surrounding this proc ess. The problems identified in pre-university and Higher Pedagogical institutes in Angola, are related to the lack of motivation among students in mathematical careers, due to insufficient contextualization achieved by the programmed contents, as well as the insistent use of scientific and methodological approaches tha...

  3. Pedagogical Knowledge Base Underlying EFL Teachers' Provision of Oral Corrective Feedback in Grammar Instruction

    Science.gov (United States)

    Atai, Mahmood Reza; Shafiee, Zahra

    2017-01-01

    The present study investigated the pedagogical knowledge base underlying EFL teachers' provision of oral corrective feedback in grammar instruction. More specifically, we explored the consistent thought patterns guiding the decisions of three Iranian teachers regarding oral corrective feedback on grammatical errors. We also examined the potential…

  4. Mathematics Pedagogical Standards: A Suggested Model of Instruction in Enhancing the Mathematics Teacher’s Quality of Instruction

    Science.gov (United States)

    Saad, N. S.; Jemali, M.; Zakaria, Z. Hj; Yusof, Q.

    2018-01-01

    The paper aims at identifying the standards for teaching and learning of mathematics based on National Council of Teacher of Mathematics (NCTM, 2000), The Australian Association of Mathematics Teachers (AAMT, 2006) and Training and Development Agency for School (TDA, 2007). These known standards were used as a guide in identifying the constructs of the mathematics teacher’s instruction in the classroom. The survey method used in which a questionnaire instrument encompassed on the four identified constructs on the standards for teaching and learning of mathematics, namely professional practices, professional attributes, professional knowledge, and professional instructional processes. The instrument was tested during a pilot study and a Cronbach’s Alpha reliability index of greater than 0.85 was obtained. The actual research was carried out in Peninsular Malaysia involving 224 secondary schools with 1.120 mathematics teachers and 108 primary schools with 540 mathematics teachers. From the selected schools, only 820 secondary mathematics teachers (73.2%) and 361 primary teachers (66.9%) gave a response to the mailed questionnaires. The findings of the study revealed that the secondary and primary mathematics teachers strongly agreed on three constructs; professional practices, professional attributes and professional instructional processes.

  5. Finnish Mentor Mathematics Teachers' Views of the Teacher Knowledge Required for Teaching Mathematics

    Science.gov (United States)

    Asikainen, Mervi A.; Pehkonen, Erkki; Hirvonen, Pekka E.

    2013-01-01

    Seven Finnish mentor mathematics teachers were interviewed about their views regarding the teacher knowledge required for teaching mathematics. The results of the interviews revealed not only the teachers' spontaneous views of the knowledge base needed for effective mathematics teaching but also their views of the particular types of teacher…

  6. Theoretical Basics of Teaching Discrete Mathematics

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    Y. A. Perminov

    2012-01-01

    Full Text Available  The paper deals with the research findings concerning the process of mastering the theoretical basics of discrete mathematics by the students of vocational pedagogic profile. The methodological analysis is based on the subject and functions of the modern discrete mathematics and its role in mathematical modeling and computing. The modern discrete mathematics (i.e. mathematics of the finite type structures plays the important role in modernization of vocational training. It is especially rele- vant to training students for vocational pedagogic qualifications, as in the future they will be responsible for training the middle and the senior level specialists in engineer- ing and technical spheres. Nowadays in different industries, there arise the problems which require for their solving both continual – based on the classical mathematical methods – and discrete modeling. The teaching course of discrete mathematics for the future vocational teachers should be relevant to the target qualification and aimed at mastering the mathematical modeling, systems of computer mathematics and computer technologies. The author emphasizes the fundamental role of mastering the language of algebraic and serial structures, as well as the logical, algorithmic, combinatory schemes dominating in dis- crete mathematics. The guidelines for selecting the content of the course in discrete mathematics are specified. The theoretical findings of the research can be put into practice whilst developing curricula and working programs for bachelors and masters’ training. 

  7. Using concept mapping for faculty development in the context of pedagogic frailty

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    Bárbara de Benito

    2017-09-01

    Full Text Available The quality of teaching does not depend exclusively on the knowledge and experience of teachers, but also on the contextual variables that go along with the teaching (attitude, objectives, students, resources, etc. or dimensions of pedagogic frailty (regulative and instructional discourse, pedagogy and discipline, research teaching nexus and locus of control. Identifying these variables may help to enhance teaching. A procedure for the capture, representation and transfer of knowledge between peers regarding active didactic methodologies supported by Information and Communication Technologies (ICT was applied in a case study research. The data were represented by concept maps. The aim was to identify variables that affect Technological Pedagogical Content Knowledge (TPACK, the use of technology in teaching and pedagogic frailty, through the analysis of the interrelations among the concept maps.The analysis of the maps shows the implementation of many innovations with ICT (project-based learning, service-learning, collaborative learning, their positive aspects and the difficulties in carrying them out. The teachers involved pointed out some factors that contribute to the development of pedagogic frailty, including the number of students in each class, the organization of teaching, the motivation, among others, and as conditions for a greater progress in innovative educational experiments using ICT.

  8. Reflexive (réfléchissante Abstraction and Mathematical Knowledge Production A Abstração Reflexionante e a Produção do Conhecimento Matemático

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    Clélia Maria Ignatius Nogueira

    2008-10-01

    Full Text Available Piaget assumes that reflexive (réfléchissante abstraction is the process by which mathematical knowledge is produced. The aim of this article is to confirm to identify the presence of the reflexive abstraction or its components (réfléchissement and reflection in mathematicians description of the way they produce mathematical new knowledge as well as to discuss possible pedagogical implications of this process in Mathematics classrooms. Keywords: Mathematical education. Reflexive abstraction. Mathematical knowledge.Piaget afirma que a abstração reflexionante é o processo por excelência de produção do conhecimento matemático. Este trabalho teve por objetivo identificar a presença da abstração reflexionante ou de seus componentes (reflexionamento e reflexão na descrição que matemáticos fazem da forma como produzem novos conhecimentos e discutir possíveis implicações pedagógicas deste processo nas aulas de Matemática. Palavras-chave: Educação Matemática. Abstração reflexionante. Conhecimento matemático.

  9. The mathematical knowledge of physics graduates: Primary data and conclusions

    Science.gov (United States)

    Breitenberger, Ernst

    1992-04-01

    Systematic observations were made of the mathematical knowledge of physics students from the U.S. and other countries during their first years of graduate study at Ohio University. It was found that all were deficient in general and in ``modern'' mathematical concepts, and in problem-solving skills. Sizable fractions of them did not even possess adequate concepts of ``derivative,'' ``integration,'' and ``truth.'' Nearly all were limited to some familiarity with rather elementary calculus, and with equally elementary differential and linear equations, but they showed some ability and a pronounced willingness to perform manipulations. Roughly, they regarded mathematics as mechanical method, not as constructive thinking. In view of the significantly higher levels of mathematical fluency demanded by contemporary advances in physics and in computer usage, none of these students was adequately prepared for future-oriented study, or for research and employment in physics and related areas at the close of the 20th century. It is intended to discuss the likely causes of this state of affairs elsewhere with a view toward remedial actions.

  10. Separating Cognitive and Content Domains in Mathematical Competence

    Science.gov (United States)

    Harks, Birgit; Klieme, Eckhard; Hartig, Johannes; Leiss, Dominik

    2014-01-01

    The present study investigates the empirical separability of mathematical (a) content domains, (b) cognitive domains, and (c) content-specific cognitive domains. There were 122 items representing two content domains (linear equations vs. theorem of Pythagoras) combined with two cognitive domains (modeling competence vs. technical competence)…

  11. The process of teaching learning of the basic mathematical contents in the context of the professor's formation of Mathematical

    Directory of Open Access Journals (Sweden)

    Yamila Medina-Sánchez

    2016-10-01

    Full Text Available Teacher training has been ongoing task for Cuban pedagogical universities. In this sense, the results of research carried out with the title based teaching problems in the context of School Mathematics in initial teacher training Mathematics are presented. An educational model that systematizes and enriches the theory of teaching Alan Schoenfeld, revealing and argue new components, specified for application in practice a strategy of the same nature is provided. For its development theoretical methods, such as dialectical hermeneutical, analysis and synthesis, structural systemic, modeling, deductive inductive and logical historical, and empirical level survey, interview, observation were used, the educational testing, consultation with specialists and pre experiment, which enabled the collection and analysis of results.

  12. NEW MATERIALS FOR PEDAGOGICAL TEACHING-LEARNING IN BIOCHEMISTRY: MONITORING PARTICIPATION

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    R. S. Campos

    2015-08-01

    Full Text Available This summary consists of an experience report about actions taken by biochemical monitors with pharmacy students. The reason of our work was the intention to both improve the process of teaching and also learning and invalidate the labels owned by biochemistry of hard and high-level-failure subject. The three actors: teachers, students and monitor could act on an integrated basis for the construction of an articulated  pedagogical process between theory/practice and learning signification. Our main objective was to initiate the monitors in teaching practice effected through educational projects aimed at improving the teaching and learning of undergraduate courses and encouraging teacher training, involving teachers and students the guiding condition and monitors, respectively. The methodology was applied in three stages: 1 preparation of teaching materials; 2nd application in class and 3rd students rating of the methodology applied by monitors. The teaching materials presented discussed several biochemistry's topics and students had the opportunity to scaffold their own knowledge actively. Almost 90% considered the tool applied as highly related to classes and 82% considered this way of learning more significant than dialogical lectures. The performance of the monitors, focused on students and their learning, was considered great by students who were more motivated, resulting in the excellent evaluation of the work (100% of acceptance. The failure rate of the subject reduced in the four groups wherein the pedagogical materials were applied. It can demonstrate that both the mastery of scientific content and the pedagogical process involved during the teaching and learning moments are important.

  13. In-the-Moment Teaching Decisions in Primary Grade Reading: The Role of Context and Teacher Knowledge

    Science.gov (United States)

    Griffith, Robin; Bauml, Michelle; Barksdale, Bonnie

    2015-01-01

    This study provides insight into the in-the-moment teaching decisions made during reading instruction in the primary grades. Eight exemplary teachers of reading drew upon pedagogical knowledge and pedagogical content knowledge to make these in-the-moment decisions. Findings indicate the focus of teachers' in-the-moment decisions varied depending…

  14. Preservice Secondary Teachers Perceptions of College-Level Mathematics Content Connections with the Common Core State Standards for Mathematics

    Science.gov (United States)

    Olson, Travis A.

    2016-01-01

    Preservice Secondary Mathematics Teachers (PSMTs) were surveyed to identify if they could connect early-secondary mathematics content (Grades 7-9) in the Common Core State Standards for Mathematics (CCSSM) with mathematics content studied in content courses for certification in secondary teacher preparation programs. Respondents were asked to…

  15. A Case Study on Specialised Content Knowledge Development with Dynamic Geometry Software: The Analysis of Influential Factors and Technology Beliefs of Three Pre-Service Middle Grades Mathematics Teachers

    Science.gov (United States)

    Zambak, Vecihi S.; Tyminski, Andrew M.

    2017-01-01

    This study characterises the development of Specialised Content Knowledge (SCK) with dynamic geometry software (DGS) throughout a semester. The research employed a single-case study with the embedded units of three pre-service middle grades mathematics teachers. Qualitative data were collected, and factors affecting these three teachers' SCK…

  16. Socio-functional dynamics of the mathematical contents

    Directory of Open Access Journals (Sweden)

    Isabel Alonso-Berenguer

    2018-01-01

    Full Text Available The article presents a model of the socio-functional dynamics of the mathematical contents that offers a novel theoretical-methodological basement for the development of the process of teaching-learning of the mathematical one. The investigation, of theoretical character, used the methods of analysis-synthesis, inductive-deductive and historical-logical to elaborate the one mentioned model that leaves of considering that the future professors have appropriated previously of the mathematical contents, foreseen in the curriculum, and they are, therefore, under conditions of understanding the potentialities of the same ones to facilitate the formation of socio-functional values.   

  17. Knowledge into Action

    DEFF Research Database (Denmark)

    Larsen, Lars Thorup

    In the 1970s, most Western nations began to shift the emphasis of health care provision from treatment to prevention. While originally motivated by the rise of lifestyle diseases, the emergence of the new public health policy mainly involves a new way to understand and structure the relationship ...... in the production and circulation of health knowledge, which attempts to replace the usual 'ifs, buts and maybes' of medical science with an action-minded public health knowledge just telling people what to do.......In the 1970s, most Western nations began to shift the emphasis of health care provision from treatment to prevention. While originally motivated by the rise of lifestyle diseases, the emergence of the new public health policy mainly involves a new way to understand and structure the relationship...... between health knowledge and individual action. The book investigates what political rationality characterizes this new ambition in public health policies to put knowledge into action in the hands of individual citizens and how these policies adapt to the continuous experience that citizens often do...

  18. HOW TO GENERATE AUTONOMOUS QUESTIONING IN SECONDARY MATHEMATICS TEACHING?

    DEFF Research Database (Denmark)

    Jessen, Britta Eyrich

    2017-01-01

    In mathematics education it is still a major challenge to find ways to nurture students to pose and pursue their own questions in order to learn mathematics. During the last three decades problem posing has been explored through different approaches and in empirical studies. This paper presents...... the result of an empirical study, where teaching was designed and conducted based on The Anthropological Theory of the Didactic. It is shown how a changed didactic contract and open generating questions posed by the teacher can support students’ autonomous questioning of the taught knowledge. In the study......, students developed knowledge that went beyond curriculum requirements through autonomous activities, which were different from more traditional school and pedagogical culture....

  19. From Knowledge to Action

    DEFF Research Database (Denmark)

    Hjelmar, Ulf; Møller, Anne Mette

    2016-01-01

    In recent years, focus has been on the utilisation of research-based knowledge and evidence in social work policy and practice in order to make it more effective. A part of this process has been the launch of knowledge portals to make use of knowledge from research. In this article, we investigate...... how knowledge portals about vulnerable children and youth present knowledge and evidence, and how they try to work as ?knowledge brokers? or intermediaries of evidence. We argue that knowledge portals are not merely channels for dissemination of knowledge. Knowledge portals could be considered as part...... of a greater process of bringing knowledge to action, encompassing the social and organisational contexts of research utilisation. The article concludes by stating that knowledge portals have the potential to be effective instruments in knowledge-to-action processes. The two main challenges, however...

  20. Becoming Reflective and Inquiring Teachers: Collaborative Action Research for In-service Chilean Teachers

    Directory of Open Access Journals (Sweden)

    Martine Pellerin

    2015-08-01

    Full Text Available This article discusses the outcomes of a case study that engaged Chilean in-service teachers in systematic action research (AR as a means of improving their pedagogical practice and effecting changes in their educational context. The study involved six in-service teachers from a region of Chile and two university researchers. The findings show that knowledge of systematic AR provided the teachers with the necessary means to engage in a critical reflection and inquiry process regarding their own practice. The teacher participants also perceived the self-reflective spiral of reflection and action to be crucial in establishing new habits of inquiry and reflection about their own pedagogical actions. The findings support earlier studies (e.g., Price & Valli, 2005; Steven & Kitchen, 2005, 2011 concerning the necessity of including knowledge of systematic AR in teacher preparation programs in order to foster strong habits of inquiry and reflection among preservice teachers. Finally, the study suggests that participation in a systematic reflection and inquiry process contributes to empowering in-service teachers to become agents of pedagogical change through their own actions.

  1. The Intuitive and the Logical in the Mathematical Knowledge: analysis of a pedagogical proposal from a viewpoint of new philosophical approaches and in the educational context of mathematics O Intuitivo e o Lógico no Conhecimento Matemático: análise de uma proposta pedagógica em relação a abordagens filos��ficas atuais e ao contexto educacional da matemática

    Directory of Open Access Journals (Sweden)

    Renata Meneghetti

    2009-04-01

    Full Text Available In this paper we consider the Meneghetti & Bicudo’s proposal (2003 about the constitution of the mathematical knowledge and analyze it with respect to the following two focuses: under the conceptions of the mathematical knowledge after the mathematical fundamentalist crises and in the educational context of mathematics. The investigation of the first focus is done analyzing news claims to the mathematical philosophy. The investigation of the second focus is done firstly by a theoretical reflection and, soon after that, by focalizing the implementation of the proposal in the process of development of the didactic materials to teaching and learning of Mathematics. Finally, we present the main results of the application of one of those materials. Keywords: Mathematical Knowledge. Intuitive Aspect. Logical Aspect. Philosophy of Mathematics. Mathematics Education. Pedagogical Proposal.Este trabalho tem por objetivo retomar a proposta apresentada em Meneghetti & Bicudo (2003, referente à constituição do saber matemático, e analisá-la sob dois enfoques: em relação às concepções de conhecimento matemático após crise fundamentalista da matemática e ao contexto educacional da matemática. A investigação do primeiro enfoque foi feita analisando atuais reivindicações para a filosófica da matemática e a do segundo se deu, primeiramente, por meio de uma reflexão teórica e, em seguida, focalizando a implementação da proposta no processo de elaboração de materiais didáticos para o ensino e aprendizagem da matemática. Finaliza-se a pesquisa apresentado os principais resultados da aplicação de um desses materiais. Palavras-chave: Conhecimento Matemático. Aspecto Intuitivo. Aspecto Lógico. Filosofia da Matemática. Educação Matemática. Proposta Pedagógica.

  2. Knowledge vs. Action: Discrepancies in University Students' Knowledge about and Self-Reported Use of Self-Regulated Learning Strategies

    Directory of Open Access Journals (Sweden)

    Nora M. Foerst

    2017-07-01

    Full Text Available University students are supposed to be autonomous learners, able to adapt to an educational environment significantly less guided than school. Entering higher education poses a challenge of self-regulation, in which beginning students are often not prepared with self-regulation strategies needed. Since there are many studies assessing self-regulated learning (SRL via classical self-reports, we know a lot about how students generally self-assess their SRL strategies. However, SRL and performance do not always correlate highly in these studies. The aim of the present study is to determine whether there are discrepancies between students' knowledge about SRL and their action in applying adequate SRL strategies in relevant learning situations. We also want to know whether such discrepancies generalize across domains and what the reasons for discrepancies are. The situation-specific Self-Regulated Learning Questionnaire for Action and Knowledge (SRL-QuAK was used in a sample of 408 psychology and economic sciences students. Descriptive data analysis was conducted to determine potential discrepancies between SRL knowledge and action and differences between the study domains in an explorative way. The reasons for not using SRL-strategies were derived via qualitative content analysis. The results showed that although students had quite advanced knowledge of SRL strategies, they did not put this knowledge into action. This dissonance between SRL knowledge and action was found in both domains. In terms of reasons, students stated that they (a lacked the time to use SRL strategies, (b would not benefit from SRL strategies in the given situation, (c would not be able to put the strategies to use effectively or (d found it too arduous to use SRL strategies. The implications of these results will be discussed, e.g., the consequences for measures to overcome students' dissonance between knowledge and action and therefore to promote academic performance and

  3. Knowledge vs. Action: Discrepancies in University Students' Knowledge about and Self-Reported Use of Self-Regulated Learning Strategies.

    Science.gov (United States)

    Foerst, Nora M; Klug, Julia; Jöstl, Gregor; Spiel, Christiane; Schober, Barbara

    2017-01-01

    University students are supposed to be autonomous learners, able to adapt to an educational environment significantly less guided than school. Entering higher education poses a challenge of self-regulation, in which beginning students are often not prepared with self-regulation strategies needed. Since there are many studies assessing self-regulated learning (SRL) via classical self-reports, we know a lot about how students generally self-assess their SRL strategies. However, SRL and performance do not always correlate highly in these studies. The aim of the present study is to determine whether there are discrepancies between students' knowledge about SRL and their action in applying adequate SRL strategies in relevant learning situations. We also want to know whether such discrepancies generalize across domains and what the reasons for discrepancies are. The situation-specific Self-Regulated Learning Questionnaire for Action and Knowledge (SRL-QuAK) was used in a sample of 408 psychology and economic sciences students. Descriptive data analysis was conducted to determine potential discrepancies between SRL knowledge and action and differences between the study domains in an explorative way. The reasons for not using SRL-strategies were derived via qualitative content analysis. The results showed that although students had quite advanced knowledge of SRL strategies, they did not put this knowledge into action. This dissonance between SRL knowledge and action was found in both domains. In terms of reasons, students stated that they (a) lacked the time to use SRL strategies, (b) would not benefit from SRL strategies in the given situation, (c) would not be able to put the strategies to use effectively or (d) found it too arduous to use SRL strategies. The implications of these results will be discussed, e.g., the consequences for measures to overcome students' dissonance between knowledge and action and therefore to promote academic performance and well-being.

  4. Mathematical knowledge in teaching of fraction concepts using diagrammatical approach

    Science.gov (United States)

    Veloo, Palanisamy Kathir; Puteh, Marzita

    2017-05-01

    Teachers need various types of knowledge in order to deliver various fraction concepts at elementary level. In this paper, Balls' framework (2008) or, Mathematical Knowledge for Teaching (MKT) is used as benchmark guideline. This paper investigates and explores component of MKT knowledge among eight experienced teachers of the primary school. Data was collected using paper pencil test, interview and video recording. This paper, narrowed to teacher's knowledge and their practices while teaching of various fractions concepts using diagrammatical approach in present of MKT. The data gathered from teachers were analyzed using thematic analysis techniques. The results indicated that teachers lack various components of MKT knowledge as a proposal by various researchers and assumed that teaching as procedural more than enough due to lack of deep understanding of mathematics and the various types of MKT is not required due to the present of practices in the mathematics classroom.

  5. Online supplementary mathematics tuition in a first-year childhood teacher education programme

    Directory of Open Access Journals (Sweden)

    Kathleen Fonseca

    2016-02-01

    Full Text Available This study reports on an intervention that was aimed at improving the content knowledge of first-year intermediate-phase education students at a South African university. The study gives some insight into preservice teachers’ perceptions of an online programme for the development of mathematics common content knowledge for teachers of mathematics in the intermediate grades. The effectiveness of the intervention programme was analysed according to Shapiro’s evaluation criteria for intervention research. The findings show that there has been a positive shift in preservice teachers’ common content knowledge but that there is much room for further development. The student teachers found the programme to be of great benefit with regard to the development of their mathematics knowledge as well as their confidence as future teachers of mathematics. The findings highlighted their disturbingly limited knowledge of mathematics content knowledge and pointed to the responsibility of teacher education departments at universities to implement sufficient maths content courses that will address the status quo of poor mathematics teaching in South African primary schools. The authors conclude that the students need to spend much more time on ‘catching up’ before they become teachers.

  6. The Relationship of Mathematics Anxiety and Mathematical Knowledge to the Learning of Mathematical Pedagogy by Preservice Elementary Teachers.

    Science.gov (United States)

    Battista, Michael T.

    1986-01-01

    Examined how preservice elementary teachers' (N=38) mathematical knowledge and mathematics anxiety affect their success in a mathematics methods course. Also examined the hypothesis that a mathematics methods course can reduce the mathematics anxiety of these teachers. One finding is that mathematics anxiety does not inhibit their learning of…

  7. STEM Faculty as Learners in Pedagogical Reform and the Role of Research Articles as Professional Development Opportunities

    Science.gov (United States)

    Mulnix, Amy B.

    2016-01-01

    Discipline-based education research (DBER) publications are opportunities for professional development around science, technology, engineering, and mathematics (STEM) education reform. Learning theory tells us these publications could be more impactful if authors, reviewers, and editors pay greater attention to linking principles and practice. This approach, which considers faculty as learners and STEM education reform as content, has the potential to better support faculty members because it promotes a deeper understanding of the reasons why a pedagogical change is effective. This depth of understanding is necessary for faculty members to successfully transfer new knowledge to their own contexts. A challenge ahead for the emergent learning sciences is to better integrate findings from across sister disciplines; DBER reports can take a step in that direction while improving their usefulness for instructors. PMID:27810872

  8. English Language Teacher Educators' Pedagogical Knowledge Base: The Macro and Micro Categories

    Science.gov (United States)

    Moradkhani, Shahab; Akbari, Ramin; Samar, Reza Ghafar; Kiany, Gholam Reza

    2013-01-01

    The aim of this study was to determine the major categories of English language teacher educators' pedagogical knowledge base. To this end, semi-structured interviews were conducted with 5 teachers, teacher educators, and university professors (15 participants in total). The results of data analysis indicated that teacher educators' pedagogical…

  9. Informal Content and Student Note-Taking in Advanced Mathematics Classes

    Science.gov (United States)

    Fukawa-Connelly, Timothy; Weber, Keith; Mejía-Ramos, Juan Pablo

    2017-01-01

    This study investigates 3 hypotheses about proof-based mathematics instruction: (a) that lectures include informal content (ways of thinking and reasoning about advanced mathematics that are not captured by formal symbolic statements), (b) that informal content is usually presented orally but not written on the board, and (c) that students do not…

  10. Structuring Mathematical Context by Means of Problems: A Mechanism for Achieving Effective Knowledge in Higher Educatio

    OpenAIRE

    Eloy Guerrero Seide

    2004-01-01

    This article summarizes the results obtained in an exploratory and comparative study of two ways of structuring the mathematical content of a B.S. program in Agronomic Engineering at Guantanamo University, Cuba: the formal systematization of the presentation of the knowledge, and an organization through problems. The sign test is used in the proof of the hypothesis. In a preliminary form, at least, it was demonstrated that the variant of systemic structuring of knowledge through proble...

  11. Examining My Window and Mirror: A Pedagogical Reflection from a White Mathematics Teacher Educator about Her Experiences with Immigrant Latina Pre-Service Teachers

    Science.gov (United States)

    Kalinec-Craig, Crystal A.

    2014-01-01

    In this pedagogical reflection, a White mathematics teacher educator describes what she learned from three Latina pre-service teachers who were recent immigrants from Mexico while they completed an elementary mathematics methods course. Using Rochelle Gutierrez's (2012) metaphor of a window and mirror, the author interrogates her own identity and…

  12. The Effect of a Serious Digital Game on Students’ Ability to Transfer Knowledge in Secondary Agricultural Education: An Exploratory Study

    Directory of Open Access Journals (Sweden)

    J. C. Bunch

    2016-06-01

    Full Text Available This study’s purpose was to compare the effectiveness of the traditional, lecture and discussion method to a digital game-based learning (DGBL approach on students’ near and far knowledge transfer abilities in agriculture and mathematics regarding a unit on swine diseases in animal science courses. Two research questions guided the study, which employed a quasi-experimental, between-groups design. No statistically significant differences (p > .05 were found between the counterfactual group and the treatment group regarding students’ near and far knowledge transfer. Based on this result, it can be recommended that professional development opportunities be created with an emphasis on using serious games to teach course content for in-service teachers without diminishing students’ knowledge transfer. Specifically, the creators of this professional development should consider emphasizing Technological Pedagogical Content Knowledge development in teachers. In addition, future investigations should focus on the kind of transfer that occurred, whether positive, negative, or zero.

  13. Secondary School Mathematics Teachers' Knowledge Levels and Use of History of Mathematics

    Science.gov (United States)

    Bütüner, Suphi Önder

    2018-01-01

    This study describes secondary school mathematics teachers' use of history of mathematics in their classes and their knowledge levels in this field. The study population included a total of 58 secondary school mathematics teachers working at the secondary schools located in Yozgat city center, and the sample included 32 mathematics teachers from…

  14. Exploring the Reasons for Using Electric Books and Technologic Pedagogical and Content Knowledge of Taiwanese Elementary Mathematics and Science Teachers

    Science.gov (United States)

    Chen, Ho-Yuan; Jang, Syh-Jong

    2013-01-01

    This study highlights trends and features of E-books and their versatility of this tool in elementary educational settings. There has been little quantitative research employed to examine teachers' reasons for using or not using E-books. The purpose of this study was to examine elementary school mathematics and science teachers' reasons for using…

  15. Curricular Space Allocated for Dance Content in Physical Education Teacher Education Programs: A Literature Review

    Science.gov (United States)

    Marquis, Jenée Marie; Metzler, Mike

    2017-01-01

    This literature review examines curricular space allocated to activity based/movement content courses in Physical Education Teacher Education (PETE) pre-service programs, specifically focusing on how dance content knowledge and pedagogical content knowledge are addressed within those programs. This review includes original empirical research…

  16. Learning literacy and content through video activities in primary education

    OpenAIRE

    Heitink, Maaike Christine; Fisser, Petra; McKenney, Susan; Resta, P.

    2012-01-01

    This case study research explored to what extent and in which ways teachers used Technological Pedagogical Content Knowledge (TPCK) and related competencies to implement video activities in primary education. Three Dutch teachers implemented video activities to improve students‟ content knowledge and literacy- and communication skills simultaneously. Lesson materials were provided but teachers chose the theme or subject (content) linked to the video activities themselves. Results show that ap...

  17. Perimeter security for Minnesota correctional facilities

    Energy Technology Data Exchange (ETDEWEB)

    Crist, D. [Minnesota Department of Corrections, St. Paul, MN (United States); Spencer, D.D. [Sandia National Labs., Albuquerque, NM (United States)

    1996-12-31

    For the past few years, the Minnesota Department of Corrections, assisted by Sandia National Laboratories, has developed a set of standards for perimeter security at medium, close, and maximum custody correctional facilities in the state. During this process, the threat to perimeter security was examined and concepts about correctional perimeter security were developed. This presentation and paper will review the outcomes of this effort, some of the lessons learned, and the concepts developed during this process and in the course of working with architects, engineers and construction firms as the state upgraded perimeter security at some facilities and planned new construction at other facilities.

  18. From the University to the Classroom: Prospective Elementary Mathematics Specialists' Pedagogical Shifts

    Science.gov (United States)

    Myers, Kayla D.; Swars, Susan L.; Smith, Stephanie Z.

    2016-01-01

    This project focuses on the development of prospective Elementary Mathematics Specialists (EMSs) in a K-5 Mathematics Endorsement Program. Program courses emphasized elementary mathematics content and pedagogy while providing opportunities for participants to evidence their learning through classroom teaching practice, all in an attempt to…

  19. THE EFFECT OF NON-ROUTINE GEOMETRY PROBLEM ON ELEMENTARY STUDENTS BELIEF IN MATHEMATICS: A CASE STUDY

    Directory of Open Access Journals (Sweden)

    Khoerul Umam

    2018-03-01

    Full Text Available Many learners hold traditional beliefs about perimeter and area that a shape with a larger area must have a larger perimeter while shape with the same perimeter must have the same area. To address this issue, non-routine geometry problem is given. This qualitative descriptive research used to reach the goal and to explore the effect of non-routine geometry problem on elementary student belief in mathematics. The instrument has been developed to accommodate intuitive student belief and student’s belief about the concept of perimeter. The results provide evidence that students’ intuitive belief about perimeter can be change through non-routine geometry problem which is required understanding and some mathematical analysis. Fortunately, the problem has helped the elementary students revise and correct their beliefs, thoughts, and understandings relating to the circumference of shape.

  20. Developing Second Grade Teachers' Pedagogical Content Knowledge of Place Value

    Science.gov (United States)

    Kulhanek, Stefani Michelle

    2013-01-01

    An understanding of whole number place value is a critical component of second-grade mathematics. This understanding of place value provides the foundational concept for operations with whole numbers. The ability to understand the concept of place value and transfer that understanding to teaching addition and subtraction are often problems…

  1. An Ode to Imre Lakatos: Quasi-Thought Experiments to Bridge the Ideal and Actual Mathematics Classrooms

    Science.gov (United States)

    Sriraman, Bharath

    2006-01-01

    This paper explores the wide range of mathematics content and processes that arise in the secondary classroom via the use of unusual counting problems. A universal pedagogical goal of mathematics teachers is to convey a sense of unity among seemingly diverse topics within mathematics. Such a goal can be accomplished if we could conduct classroom…

  2. Foreword to the Special Focus on Mathematics, Data and Knowledge

    KAUST Repository

    Chen, Xiaoyu

    2013-12-01

    There is a growing interest in applying mathematical theories and methods from topology, computational geometry, differential equations, fluid dynamics, quantum statistics, etc. to describe and to analyze scientific regularities of diverse, massive, complex, nonlinear, and fast changing data accumulated continuously around the world and in discovering and revealing valid, insightful, and valuable knowledge that data imply. With increasingly solid mathematical foundations, various methods and techniques have been studied and developed for data mining, modeling, and processing, and knowledge representation, organization, and verification; different systems and mechanisms have been designed to perform data-intensive tasks in many application fields for classification, predication, recommendation, ranking, filtering, etc. This special focus of Mathematics in Computer Science is organized to stimulate original research on the interaction of mathematics with data and knowledge, in particular the exploration of new mathematical theories and methodologies for data modeling and analysis and knowledge discovery and management, the study of mathematical models of big data and complex knowledge, and the development of novel solutions and strategies to enhance the performance of existing systems and mechanisms for data and knowledge processing. The present foreword provides a short review of some key ideas and techniques on how mathematics interacts with data and knowledge, together with a few selected research directions and problems and a brief introduction to the four papers published in the focus. © 2013 Springer Basel.

  3. Pedagogical processes in healthcare: an exploratory study of pedagogic work with patients and next of kin.

    Science.gov (United States)

    Hult, Håkan; Lindblad Fridh, Marianne; Lindh Falk, Annika; Thörne, Karin

    2009-12-01

    Care and education have much in common, and work in the healthcare sector is closely associated with learning and teaching. It is felt that many in the healthcare and medical services are not aware of their pedagogic skills and how they can be developed. FRAME OF REFERENCE: Belonging to a community of practice means that you share perspectives, methods and language. The aim is to describe the pedagogical discourse by identifying pedagogical processes and studying the staff's awareness of such processes or situations in which a pedagogical approach would be useful in their work with patients and next of kin. A qualitative study based on individual and group interviews. The analysis is directed by grounded theory. The pedagogical processes varied in length and quality. Most were unplanned and were usually embedded in treatment. The pedagogical process is linear (planning, goal setting, teaching and evaluating) in an educational setting but we found that the beginning and end can be unclear and the goals can be vague or non-existent. The pedagogical process is best described using the concepts Read, Guide and Provide learning support. The pedagogical discourse in healthcare is almost silent. Data indicate that at the collective level there is very little support for professional development of pedagogical ability. Tacit knowledge may therefore remain silent even though it may be possible to formulate and describe it. There is a strong need to focus on the pedagogical parts of the work and to encourage and support the development of professional pedagogical knowledge.

  4. A pedagogical analysis of science textbooks: How can we proceed?

    Science.gov (United States)

    Koulaidis, Vasilis; Tsatsaroni, Anna

    1996-03-01

    This paper discusses some of the available frameworks for the pedagogical analysis of school science textbooks. First, it distinguishes between (a) studies which focus on elements of textbooks, such as the content, vocabulary, illustrations used, and the teaching methods promoted; and (b) those which consider the principles that organize the content and the form of presentation. In attempting to consider the sorts of principles that may be used in the studies categorised under (b), two crucial issues are discussed. The first issue refers to the relationship between scientific knowledge and school knowledge, which, as the relevant literature suggests, might not be conceived merely as a simplified “casting” of the scientific structure, but rather should be understood as a complex social process. The second issue explicitly addresses the nature of the pedagogic relationship and the place of the pedagogic text within it. Recent views about the nature of knowledge, it is argued, would suggest a reconceptualisation of the teaching activity, and indicate a model according to which the three elements of the teaching situation-the content, the pupil and the teacher—are seen as being (re)constituted in their articulation within and through the text(book). Thus, for example, what is to be a competent pupil in this approach is a function of the text. On the basis of these considerations, three approaches to the analysis of science textbooks are discussed: the socio-cognitive, the sociolinguistic and the socio-epistemic. The relative merits of the third approach are considered, and some examples are used from Greek science textbooks.

  5. Structuring Mathematical Context by Means of Problems: A Mechanism for Achieving Effective Knowledge in Higher Educatio

    Directory of Open Access Journals (Sweden)

    Eloy Guerrero Seide

    2004-11-01

    Full Text Available This article summarizes the results obtained in an exploratory and comparative study of two ways of structuring the mathematical content of a B.S. program in Agronomic Engineering at Guantanamo University, Cuba: the formal systematization of the presentation of the knowledge, and an organization through problems. The sign test is used in the proof of the hypothesis. In a preliminary form, at least, it was demonstrated that the variant of systemic structuring of knowledge through problems is more conducive to the efficiency of the knowledge acquired by students than the structure presented by means of the logical exposition of achieved knowledge.

  6. FORMING THE READINESS OF UNIVERSITY TEACHERS TO WORK IN POSTGRADUATE PEDAGOGICAL EDUCATION

    Directory of Open Access Journals (Sweden)

    Iryna Trubavina

    2017-04-01

    Full Text Available The problem of teaching adult students in the system of postgraduate pedagogical education should be considered not only from the point of view of the students, but also from the point of teachers’ view. Training is a two-way process. In this article national studies on this problem are initially summarized. The methodology of research of postgraduate pedagogical education is singled out. These are such scientific approaches as synergetics and andragogics. The author proves the need for universities to train teachers specially for interaction with adult students who already work as teachers in schools, have very much motivation for study, their own personal and professional experience, may be older than their university teachers, require subject-subject communication. This all affects the specifics of teaching and requires a different willingness to work with such students and correspondent courses at universities. The article is devoted to forming modern university teachers’ readiness to work in postgraduate pedagogical education. The features of such readiness content are first determined by the author as the content, value and operational components of teacher readiness for work. This gives the article practical significance. The results can be extended to the training of all teachers of higher pedagogical educational institutions, that indicate the social significance of the article. The originality of the article is determining the specific content of the components of the teachers’ readiness to work in postgraduate pedagogical education. Forming the teacher’s readiness for training adult students in the system of postgraduate teacher education should include knowledge, skills and values of work. The prospects for research are building and implementing a model of forming the university teachers’ readiness for such work on the basis of andragogy and synergetics, taking into account the specified content of the components of teacher

  7. Research methods in indigenous mathematical Knowledge: An ...

    African Journals Online (AJOL)

    Indigenous games are an integral component of indigenous knowledge systems. ... and national activities; mathematical concepts associated with the games; possibilities and implications for general classroom ... AJOL African Journals Online.

  8. An Investigation of Secondary Teachers’ Understanding and Belief on Mathematical Problem Solving

    Science.gov (United States)

    Yuli Eko Siswono, Tatag; Wachidul Kohar, Ahmad; Kurniasari, Ika; Puji Astuti, Yuliani

    2016-02-01

    Weaknesses on problem solving of Indonesian students as reported by recent international surveys give rise to questions on how Indonesian teachers bring out idea of problem solving in mathematics lesson. An explorative study was undertaken to investigate how secondary teachers who teach mathematics at junior high school level understand and show belief toward mathematical problem solving. Participants were teachers from four cities in East Java province comprising 45 state teachers and 25 private teachers. Data was obtained through questionnaires and written test. The results of this study point out that the teachers understand pedagogical problem solving knowledge well as indicated by high score of observed teachers‘ responses showing understanding on problem solving as instruction as well as implementation of problem solving in teaching practice. However, they less understand on problem solving content knowledge such as problem solving strategies and meaning of problem itself. Regarding teacher's difficulties, teachers admitted to most frequently fail in (1) determining a precise mathematical model or strategies when carrying out problem solving steps which is supported by data of test result that revealed transformation error as the most frequently observed errors in teachers’ work and (2) choosing suitable real situation when designing context-based problem solving task. Meanwhile, analysis of teacher's beliefs on problem solving shows that teachers tend to view both mathematics and how students should learn mathematics as body static perspective, while they tend to believe to apply idea of problem solving as dynamic approach when teaching mathematics.

  9. An Investigation of Mathematical Knowledge Related to Mathematics Teachers' Basic Concepts in Sets Unit

    Directory of Open Access Journals (Sweden)

    Nurullah YAZICI

    2017-05-01

    Full Text Available This research was conducted in order to examine the subject matter of Mathematics teachers in the context of "Mathematical Knowledge For Teaching" (MKT model of "Basic Concepts in Sets" which is the first topic of the 9th class "Sets". The study group, which is one of the qualitative research methods, used the case study design, constitutes 5 mathematics teachers who work in different education levels (primary and secondary education in the academic year of 2015-2016. Open-ended questions and semi-structured interview form developed by the researcher were used for data collection. A descriptive analysis technique was used to analyze the data obtained through interviews. While analyzing the data, teacher and student textbooks, which were prepared by the Ministry of National Education for the purpose of teaching in 2015-2016 academic year, were taken as a reference. According to the research findings, it was determined that the teachers had deficiencies in the subject field of "Basic Concepts in the Sets" and had superficial knowledge rather than in depth knowledge.

  10. Challenges of Blended E-Learning Tools in Mathematics: Students' Perspectives University of Uyo

    Science.gov (United States)

    Umoh, Joseph B.; Akpan, Ekemini T.

    2014-01-01

    An in-depth knowledge of pedagogical approaches can help improve the formulation of effective and efficient pedagogy, tools and technology to support and enhance the teaching and learning of Mathematics in higher institutions. This study investigated students' perceptions of the challenges of blended e-learning tools in the teaching and learning…

  11. Mathematical Modelling Research in Turkey: A Content Analysis Study

    Science.gov (United States)

    Çelik, H. Coskun

    2017-01-01

    The aim of the present study was to examine the mathematical modelling studies done between 2004 and 2015 in Turkey and to reveal their tendencies. Forty-nine studies were selected using purposeful sampling based on the term, "mathematical modelling" with Higher Education Academic Search Engine. They were analyzed with content analysis.…

  12. Educating the Next Generation: Improving Teacher Quality in Cambodia. Directions in Development

    Science.gov (United States)

    Tandon, Prateek; Fukao, Tsuyoshi

    2015-01-01

    This book diagnoses Cambodian teaching quality and presents policy options for reform. Through classroom observation, assessments of mathematics and pedagogical content knowledge, and surveys of teachers and school directors, it sheds light on content and instruction, interactions with school directors, instructional support systems, and the…

  13. Fire Perimeters

    Data.gov (United States)

    California Natural Resource Agency — The Fire Perimeters data consists of CDF fires 300 acres and greater in size and USFS fires 10 acres and greater throughout California from 1950 to 2003. Some fires...

  14. An Experienced Chemistry Teacher's Practical Knowledge of Teaching with Practical Work: The PCK Perspective

    Science.gov (United States)

    Wei, Bing; Liu, Hao

    2018-01-01

    We have examined an experienced chemistry teacher's pedagogical content knowledge (PCK) of teaching with practical work in China. Based on the well-known PCK model by Magnusson S. J., Krajcik J. and Borko H., (1999), "Nature, sources, and development of pedagogical content knowledge for science teaching," in Gess-Newsome J. and Lederman…

  15. Theoretical Framework of Researcher Knowledge Development in Mathematics Education

    Science.gov (United States)

    Kontorovich, Igor'

    2016-01-01

    The goal of this paper is to present a framework of researcher knowledge development in conducting a study in mathematics education. The key components of the framework are: knowledge germane to conducting a particular study, processes of knowledge accumulation, and catalyzing filters that influence a researcher's decision making. The components…

  16. CRISIS OF PEDAGOGICAL CULTURE AND SOME PROBLEMS OF THE MODERN PEDAGOGICAL THOUGHT

    Directory of Open Access Journals (Sweden)

    R. M. Asadullin

    2017-01-01

    Full Text Available The evolution of content and forms of the dominating social relations caused the crisis of education; one of negative consequences of that crisis has become a gradual loss of the spiritual and moral bases of pedagogical culture. The possibilities of formation and realization of standards of behavior and work of teachers are discussed in the present publication based on culturological and axiological approaches to a phenomenon of this type of culture.The aim of the article is to determine the nature of the changes in the pedagogical culture of the teacher, reflected on the content of the theoretical and practical pedagogy.Methodology and research methods. The study is based on the philosophical-cultural analysis of the problems of formation and realization of pedagogical culture of norms in the context of the destabilization of modern axiological standards of professional teaching. We used the methods of theoretical research, including interdisciplinary analysis and synthesis of information from the philosophical, sociological, psychological and educational literature; empirical methods: the study of the experience of professional educational activities in a cultural context, questioning, interview.Results. The pedagogical culture of the teacher is characterized as the anthropomorphous practice which is putting forward a Person as the leading carrier of content of education and the main value. Research thesis on the declared range of problems of the Russian and foreign authors are presented. The changes in cultural practice and discursive formations in education are established; the difference of classical and modern understanding of pedagogical culture is stated. The role and value of pedagogical science in formation of a new view on essence of professional culture of the teacher in the conditions of crisis of the anthropocentric absolutes are considered.The authors set changes in cultural practices and discursive formations that distinguish the

  17. Mathematics difficulties & classroom leadership

    DEFF Research Database (Denmark)

    Schmidt, Maria Christina Secher

    2016-01-01

    This article investigates possible links between inclusion, students, for whom mathematics is extensively difficult, and classroom leadership through a case study on teaching strategies and student participation in four classrooms at two different primary schools in Denmark. Three sets of results...... are presented: 1) descriptions of the teachers’ classroom leadership to include all their students in the learning community, 2) the learning community produced by stated and practiced rules for teaching and learning behavior, 3) the classroom behavior of students who experience difficulties with mathematics....... The findings suggest that the teachers’ pedagogical choices and actions support an active learning environment for students in diverse learning needs, and that the teachers practise dimensions of inclusive classroom leadership that are known to be successful for teaching mathematics to all students. Despite...

  18. Preschool children's mathematical knowledge: The effect of teacher "math talk.".

    Science.gov (United States)

    Klibanoff, Raquel S; Levine, Susan C; Huttenlocher, Janellen; Vasilyeva, Marina; Hedges, Larry V

    2006-01-01

    This study examined the relation between the amount of mathematical input in the speech of preschool or day-care teachers and the growth of children's conventional mathematical knowledge over the school year. Three main findings emerged. First, there were marked individual differences in children's conventional mathematical knowledge by 4 years of age that were associated with socioeconomic status. Second, there were dramatic differences in the amount of math-related talk teachers provided. Third, and most important, the amount of teachers' math-related talk was significantly related to the growth of preschoolers' conventional mathematical knowledge over the school year but was unrelated to their math knowledge at the start of the school year. Copyright 2006 APA, all rights reserved.

  19. The pedagogical professional development of the English teacher in the Professional and Technical Education

    Directory of Open Access Journals (Sweden)

    Rosa María Padrón Otaño

    2017-12-01

    Full Text Available The teacher of English in Informatics studies in the Professional and Technical Education shows an insufficient preparation to plan the teaching learning process of reading comprehension in professional contexts, a fact that affects the communicative development of their students. The limitations in the development of these teachers of English were confirmed as one of the key causes. This research follows a dialectical materialist philosophy. In the diagnosis and the evaluation empirical methods such as the interview to teachers of English and document analysis, specialist criterion and a preexperimental design were used. The main research outcome is a contextualized pedagogical professional development strategy. The strategy comprises scientific foundations, diagnosis, general objective, specific actions and the evaluation. The main action of the strategy is postgraduate course to develop the pedagogical professional skills in the use of a methodology which promotes the development of knowledge and skills in both the technical sphere and a specialized didactics (Content and Language Integrated Learning. The practical implementation of the strategy elaborated seemed to allow the teachers of English to be able to plan their lessons using this methodology, and to show a new attitude which meant their active involvement in the creation of a community of learning with higher levels of interdisciplinary collaboration between the teachers of English and those of the technical sphere, as well as an effective management of their own continuing professional development.

  20. Mathematical Performance: What's in It for Developmental Educators?

    Science.gov (United States)

    Garofalo, Joe

    1985-01-01

    Points out that successful mathematical performance depends not only on declarative and procedural content knowledge, but also upon mathematical thinking skills such as problem-schema knowledge, decision-making skills, and metacognitive knowledge. Argues that the growing need for remediation should influence schools' traditional overemphasis on…

  1. Potential Teachers' Appropriate and Inappropriate Application of Pedagogical Resources in a Model-Based Physics Course: A "Knowledge in Pieces" Perspective on Teacher Learning

    Science.gov (United States)

    Harlow, Danielle B.; Bianchini, Julie A.; Swanson, Lauren H.; Dwyer, Hilary A.

    2013-01-01

    We used a "knowledge in pieces" perspective on teacher learning to document undergraduates' pedagogical resources in a model-based physics course for potential teachers. We defined pedagogical resources as small, discrete ideas about teaching science that are applied appropriately or inappropriately in specific contexts. Neither…

  2. Introducing philosophy of mathematics

    CERN Document Server

    Friend, Michele

    2014-01-01

    What is mathematics about? Does the subject-matter of mathematics exist independently of the mind or are they mental constructions? How do we know mathematics? Is mathematical knowledge logical knowledge? And how is mathematics applied to the material world? In this introduction to the philosophy of mathematics, Michele Friend examines these and other ontological and epistemological problems raised by the content and practice of mathematics. Aimed at a readership with limited proficiency in mathematics but with some experience of formal logic it seeks to strike a balance between conceptual acc

  3. A Teaching Experiment That Aims to Develop Pre-Service Mathematics Teachers’ Technological Pedagogical and Content Knowledge [Matematik Öğretmeni Adaylarının Teknolojik Pedagojik Alan Bilgilerinin Gelişimini Amaçlayan Bir Öğretim Deneyi

    Directory of Open Access Journals (Sweden)

    Melike Yiğit Koyunkaya

    2017-08-01

    Full Text Available The main purpose of this study was to examine pre-service secondary mathematics teachers’ (PSMTs levels and development of technological, pedagogical and content knowledge (TPACK. In line with this purpose, this study was designed to use teaching experiment methodology within a course. Therefore, while examining PSMTs’ development of TPACK, an appropriate teaching method that supported development of PSMTs’ TPACK was shared in this article. The participants of the study were 28 fourth grade PSMTs. The teaching experiment methodology, one of the methods of qualitative research design, was used in the study. By using this method, PSMTs were taught about how to integrate technology into mathematics education, how to use varios mathematics and geometry dynamic software, interactive applications that are used in mathematics education and various websites related to education during 16 weeks and four hours in each week. The data was collected during the experiment, and analyzed by using content analysis and document analysis methods. The results show that PSMTs’ TPACK levels were developed by applying the teaching experiment methodology. Particularly, in the activities they designed, lesson plans, reflections and free writings, it was observed that PSMTS’ skills about how to integrate technology in order to ease the learning and teaching of mathematics and utilizing it were developed. Within this context, it is thought that technology integrated courses or technology based courses should be taught in the education programs. [Bu çalışmanın temel amacı, ortaöğretim matematik öğretmeni adaylarının teknolojik pedagojik alan bilgi (TPAB düzeylerinin ve gelişimlerinin incelenmesidir. Bu amaç doğrultusunda, bu çalışma bir ders kapsamında öğretim deneyi yöntemi kullanılarak tasarlanmıştır. Çalışmanın katılımcıları, bir devlet üniversitesinin Ortaöğretim Matematik Öğretmenliği bölümünde öğrenim gören 28

  4. Student teachers’ perceptions of democracy in the mathematics classroom: Freedom, equality and dialogue

    Directory of Open Access Journals (Sweden)

    Wajeeh Daher

    2012-12-01

    Full Text Available This article studies student teachers’ perceptions of the pedagogic and didactic aspects of teaching and learning mathematics in a democratic classroom. It is concerned primarily with issues of democracy in the mathematics classroom, specifically freedom, equality and dialogue. The research was conducted in two mathematics teacher education classes, where students were in their third year of study to major in mathematics. To find these students’ perceptions of democracy in the mathematics classroom the first two stages of the constant comparison method were followed to arrive at categories of democratic and undemocratic acts. The participants in the research emphasised that instructors should refrain from giving some students more time or opportunities to express themselves or act in the mathematics classroom than other students, because this would make them feel unequal and possibly make them unwilling to participate further in the mathematics classroom. The participants also emphasised that instructors should not exert their power to stop the flow of students’ actions in the mathematics classroom, because this would trouble them and make them lose control of their actions. Further, the participants mentioned that instructors would do better to connect to students’ ways of doing mathematics, especially of defining mathematical terms, so that students appreciate the correct ways of doing mathematics and defining its terms.

  5. 5e$^{x+y}$: Searching over Mathematical Content in Digital Libraries

    CERN Document Server

    Oviedo, Arthur; Aberer, Karl

    2015-01-01

    This paper presents 5 e x + y , a system that is able to extract, index and query mathematical content expressed as math- ematical expressions, complementing the CERN Document Server (CDS)[5]. We present the most important aspects of its design, our approach to model the relevant features of the mathematical content, and provide a demonstration of its searching capabilities.

  6. Task Modification and Knowledge Utilization by Korean Prospective Mathematics Teachers.

    Directory of Open Access Journals (Sweden)

    Kyeong-Hwa Lee

    2016-11-01

    Full Text Available It has been asserted that mathematical tasks play a critical role in the teaching and learning of mathematics. Modification of tasks included in intended curriculum materials, such as textbooks, can be an effective activity for prospective teachers to understand the role of mathematical tasks in the teaching and learning of mathematics; designing of new tasks requires more knowledge and experience. This study aims to identify the patterns that Korean prospective mathematics teachers seem to follow when they modify the mathematical tasks in textbooks. Knowledge utilized by prospective teachers while they modify textbook tasks is identified and characterized in order to understand the possible factors that have an impact on Korean prospective mathematics teachers' modification of tasks.

  7. Mathematical analysis II

    CERN Document Server

    Canuto, Claudio

    2015-01-01

    The purpose of the volume is to provide a support textbook for a second lecture course on Mathematical Analysis. The contents are organised to suit, in particular, students of Engineering, Computer Science and Physics, all areas in which mathematical tools play a crucial role. The basic notions and methods concerning integral and differential calculus for multivariable functions, series of functions and ordinary differential equations are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The pedagogical layout echoes the one used in the companion text Mathematical Analysis I. The book’s structure has a specifically-designed modular nature, which allows for great flexibility in the preparation of a lecture course on Mathematical Analysis. The style privileges clarity in the exposition and a linear progression through the theory. The material is organised on two levels. The first, reflected in this book, allows students to grasp the essential ideas, ...

  8. The ways of improvement of content and pedagogical conditions of preparation of master of preschool education in the context of development of creative potential

    Directory of Open Access Journals (Sweden)

    Oleksandra Iemchyk

    2017-04-01

    Full Text Available The necessity of changes in the process of professional preparation of master of preschool education, which is caused by insufficient preparation of graduates to solve problems in this field, low level of creative potential and, as the consequence, unavailability to realization creative pedagogical activity is outlined in the article. The main ways of improvement of content and pedagogical conditions of development of creative potential of master of preschool education in the process of professional preparation are presented: the improvement of content of scientific theoretical preparation of master, studying of progressive pedagogical experience; learning of professional pedagogical disciplines with the reliance to creative tasks with problem search nature; implementation to the educational process of magistracy of institution of higher education on the specialty “Preschool education” of special course “The foundations of development of creative potential of pedagogue”; attraction of students to the creative pedagogical practice; organization and management of students creative process from the side of teachers. There are also identified the perspectives of solution of the problem of development of creative abilities of personality of pedagogue during the professional preparation in the institution of higher education. The implementation of these ways to the educational process will contribute the increasing the readiness of graduates of institutions of higher education to realize pedagogical activity on the creative level, selfdevelopment and self-improvement of their personality.Key words: creative potential of master of preschool education, the professional preparation, the ways of improvement of content of professional preparation.

  9. The role of local theories: teacher knowledge and its impact on engaging students with challenging tasks

    Science.gov (United States)

    Choppin, Jeffrey

    2011-03-01

    This study explores the extent to which a teacher elicited students' mathematical reasoning through the use of challenging tasks and the role her knowledge played in doing so. I characterised the teacher's knowledge in terms of a local theory of instruction, a form of pedagogical content knowledge that involves an empirically tested set of conjectures situated within a mathematical domain. Video data were collected and analysed and used to stimulate the teacher's reflection on her enactments of an instructional sequence. The teacher, chosen for how she consistently elicited student reasoning, showed evidence of possessing a local theory in that she articulated the ways student thinking developed over time, the processes by which that thinking developed, and the resources that facilitated the development of student thinking. Her knowledge informed how she revised and enacted challenging tasks in ways that elicited and refined student thinking around integer addition and subtraction. Furthermore, her knowledge and practices emphasised the progressive formalisation of students' ideas as a key learning process. A key implication of this study is that teachers are able to develop robust knowledge from enacting challenging tasks, knowledge that organises how they elicit and refine student reasoning from those tasks.

  10. Pedagogical directions to design and support collaborative knowledge building on-line tasks

    Directory of Open Access Journals (Sweden)

    Ingrid Noguera Fructuoso

    2013-02-01

    Full Text Available 0 0 1 187 1034 USAL 8 2 1219 14.0 Normal 0 21 false false false ES JA X-NONE /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Tabla normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin-top:0cm; mso-para-margin-right:0cm; mso-para-margin-bottom:10.0pt; mso-para-margin-left:0cm; line-height:115%; mso-pagination:widow-orphan; font-size:11.0pt; font-family:Calibri; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-ansi-language:ES; mso-fareast-language:EN-US;} Research on Computer-Supported Collaborative Learning (CSCL demonstrates that proposing that students work in groups does not improve their learning or increase their motivation. It is essential to design appropriate learning tasks and suitable pedagogical and technological support. The aim of this research is to identify pedagogical directions to design and support collaborative knowledge building tasks in on-line education. We conducted a case study at the Open University of Catalonia where we carried out two experiments: the first focusing on how teachers design and support collaborative on-line learning tasks and, the second, based on the control exerted over the tasks. As a result of the investigation we characterize the type of tasks that promote collaborative knowledge building, the teachers’ role and functions supporting these types of tasks, and we identify different stages in task regulation. Based on these results, we propose pedagogical directions to design and support collaborative on-line tasks divided into 4 stages: 1 Task design and individual preparation, 2 Task organization and group negotiation, 3 Task performance and collaborative knowledge building, and 4 Critical evaluation.

  11. Masks in Pedagogical Practice

    Science.gov (United States)

    Roy, David

    2016-01-01

    In Drama Education mask work is undertaken and presented as both a methodology and knowledge base. There are numerous workshops and journal articles available for teachers that offer knowledge or implementation of mask work. However, empirical examination of the context or potential implementation of masks as a pedagogical tool remains…

  12. Framework for pedagogical learning analytics

    OpenAIRE

    Heilala, Ville

    2018-01-01

    Learning analytics is an emergent technological practice and a multidisciplinary scientific discipline, which goal is to facilitate effective learning and knowledge of learning. In this design science research, I combine knowledge discovery process, a concept of pedagogical knowledge, ethics of learning analytics and microservice architecture. The result is a framework for pedagogical learning analytics. The framework is applied and evaluated in the context of agency analytics. The framework ...

  13. Project modepen: holistic educational model for the empowerment of the configuracional thought of the children and girls aged 0 to 10 by the possibilities offered by the learning process based on mathematical problems

    Directory of Open Access Journals (Sweden)

    Mileidy Salcedo Barragán

    2013-10-01

    Full Text Available In the educational work it is necessary the pedagogical practice is based on high levels of theoretical appropriation that allows the continuous improvement in terms of methods, procedures, and logically results that influence the learning of the child. Ownership of the content through problémica education favours creativity and logical thinking. The mental processes to reasoning, in order to obtain information and make decisions, compared with the purpose of mathematics in the curriculum guidelines are important, it considers that the knowledge of the area (their concepts and structures are a powerful tool for the development of thinking skills. Seen in this way, mathematical knowledge and teaching problémica become allies with common goals of teaching and learning.  

  14. Impact of a required pharmaceutical calculations course on mathematics ability and knowledge retention.

    Science.gov (United States)

    Hegener, Michael A; Buring, Shauna M; Papas, Elizabeth

    2013-08-12

    To assess doctor of pharmacy (PharmD) students' mathematics ability by content area before and after completing a required pharmaceutical calculations course and to analyze changes in scores. A mathematics skills assessment was administered to 2 cohorts of pharmacy students (class of 2013 and 2014) before and after completing a pharmaceutical calculations course. The posttest was administered to the second cohort 6 months after completing the course to assess knowledge retention. Both cohorts performed significantly better on the posttest (cohort 1, 13% higher scores; cohort 2, 15.9% higher scores). Significant improvement on posttest scores was observed in 6 of the 10 content areas for cohorts 1 and 2. Both cohorts scored lower in percentage calculations on the posttest than on the pretest. A required, 1-credit-hour pharmaceutical calculations course improved PharmD students' overall ability to perform fundamental and application-based calculations.

  15. Linking Serious Game Narratives with Pedagogical Theories and Pedagogical Design Strategies

    Science.gov (United States)

    De Troyer, Olga; Van Broeckhoven, Frederik; Vlieghe, Joachim

    2017-01-01

    Narrative-based serious games present pedagogical content and interventions through an interactive narrative. To ensure effective learning in such kind of serious games, designers are not only faced with the challenge of creating a compelling narrative, but also with the additional challenge of incorporating suitable pedagogical strategies.…

  16. Computer-based image studies on tumor nests mathematical features of breast cancer and their clinical prognostic value.

    Science.gov (United States)

    Wang, Lin-Wei; Qu, Ai-Ping; Yuan, Jing-Ping; Chen, Chuang; Sun, Sheng-Rong; Hu, Ming-Bai; Liu, Juan; Li, Yan

    2013-01-01

    The expending and invasive features of tumor nests could reflect the malignant biological behaviors of breast invasive ductal carcinoma. Useful information on cancer invasiveness hidden within tumor nests could be extracted and analyzed by computer image processing and big data analysis. Tissue microarrays from invasive ductal carcinoma (n = 202) were first stained with cytokeratin by immunohistochemical method to clearly demarcate the tumor nests. Then an expert-aided computer analysis system was developed to study the mathematical and geometrical features of the tumor nests. Computer recognition system and imaging analysis software extracted tumor nests information, and mathematical features of tumor nests were calculated. The relationship between tumor nests mathematical parameters and patients' 5-year disease free survival was studied. There were 8 mathematical parameters extracted by expert-aided computer analysis system. Three mathematical parameters (number, circularity and total perimeter) with area under curve >0.5 and 4 mathematical parameters (average area, average perimeter, total area/total perimeter, average (area/perimeter)) with area under curve nests could be a useful parameter to predict the prognosis of early stage breast invasive ductal carcinoma.

  17. Mathematical Content of Curricula and Beginning Salaries of Graduating Students

    Science.gov (United States)

    Lee, B. Brian; Lee, Jungsun

    2009-01-01

    The authors examined an association between mathematical content in college-level curricula and beginning salaries of graduating students on the basis of data collected from a public university in the southern region of the United States. The authors classified the mathematical content requirements of the curricula into the following 5 groups…

  18. TEDS-M Encyclopedia: A Guide to Teacher Education Context, Structure, and Quality Assurance in 17 Countries. Findings from the IEA Teacher Education and Development Study in Mathematics (TEDS-M)

    Science.gov (United States)

    Schwille, John, Ed.; Ingvarson, Lawrence, Ed.; Holdgreve-Resendez, Richard, Ed.

    2013-01-01

    The IEA Teacher Education and Development Study in Mathematics (TEDS-M) is the first large-scale international study of the preparation of primary and lower-secondary teachers. The study investigated the pedagogical and subject-specific knowledge that future primary and lower secondary school teachers acquire during their mathematics teacher…

  19. How to Make Mathematical eContent Travel Well

    OpenAIRE

    Caprotti, Olga; Pauna, Matti; Seppälä, Mika

    2009-01-01

    Electronic content produced for education travels well when it can be reused across national borders and in different curricular frameworks. In this article, we discuss what features of mathematical e-content contribute to making it travel well.

  20. Building a Knowledge to Action Program in Stroke Rehabilitation.

    Science.gov (United States)

    Janzen, Shannon; McIntyre, Amanda; Richardson, Marina; Britt, Eileen; Teasell, Robert

    2016-09-01

    The knowledge to action (KTA) process proposed by Graham et al (2006) is a framework to facilitate the development and application of research evidence into clinical practice. The KTA process consists of the knowledge creation cycle and the action cycle. The Evidence Based Review of Stroke Rehabilitation is a foundational part of the knowledge creation cycle and has helped guide the development of best practice recommendations in stroke. The Rehabilitation Knowledge to Action Project is an audit-feedback process for the clinical implementation of best practice guidelines, which follows the action cycle. The objective of this review was to: (1) contextualize the Evidence Based Review of Stroke Rehabilitation and Rehabilitation Knowledge to Action Project within the KTA model and (2) show how this process led to improved evidence-based practice in stroke rehabilitation. Through this process, a single centre was able to change clinical practice and promote a culture that supports the use of evidence-based practices in stroke rehabilitation.

  1. The Role of Reasoning in the Australian Curriculum: Mathematics

    Science.gov (United States)

    McCluskey, Catherine; Mulligan, Joanne; Mitchelmore, Mike

    2016-01-01

    The mathematical proficiencies in the "Australian Curriculum: Mathematics" of understanding, problem solving, reasoning, and fluency are intended to be entwined actions that work together to build generalised understandings of mathematical concepts. A content analysis identifying the incidence of key proficiency terms (KPTs) embedded in…

  2. The impact of Game-based learning on the achievement of learning goals and motivation for learning mathematics - literature review

    Directory of Open Access Journals (Sweden)

    Blaženka Divjak

    2011-06-01

    Full Text Available Normal 0 21 false false false SH X-NONE X-NONE Information technologies are an integral part of a contemporary society which bases its progress on knowledge being one goal of education. Beside acquiring knowledge, skills and routines, the goal of education is to create a complete individual who can rationally and timely make decisions, purposefully react in new situations and be trained for life-long learning. In order to accomplish all this, it is necessary to make educational process more creative, contemporary and adjusted to new generations of computer literate pupils who demand quicker and more frequent interactions, a lot of information at the same time, generations who quickly acquire rules of computer games. Computer games meeting pedagogical criteria should become an integral part of learning. Teaching with mathematical computer games, which fulfil pedagogical criteria, influences pupils’ motivation, learning, retention and forgetting. This paper provides a review of literature in this field and determines whether the use of mathematical computer games contributes to more efficient realisation of educational goals at all level of education. Furthermore, considering prior research we have attempted to establish whether the use of mathematical games for teaching has an impact on the formation of a positive attitude of pupils of different ages toward the subject of mathematics, their motivation and knowledge acquisition when compared to learning without computer games. Finally, we have analysed different research methods concerning this issue and assessed the impact of pedagogically designed mathematical computer games on the realisation of educational goals and quality improvement of teaching and learning.

  3. An Exploration of EFL Teachers’ Awareness of the Sources of Pedagogical Knowledge in a Teacher Education Program

    Directory of Open Access Journals (Sweden)

    Macías Diego Fernando

    2013-10-01

    Full Text Available This project set out to investigate the extent to which the sources of English as a foreign language teachers’ pedagogical knowledge are acknowledged and addressed in a teacher education program in a public university in Colombia. It involved the participation of teacher educators and novice teachers as well as the analysis of documents. This research followed a qualitative design with an interpretive approach to inquiry, and the data used were semi-structured interviews and official documents. The results indicate that while most of the teacher educators appeared to be aware of the many sources of teachers’ pedagogical knowledge, novice teachers emphasized their initial teacher education and teaching experience as the only sources of their pedagogical knowledge.Este proyecto buscó investigar hasta qué punto las diferentes fuentes de conocimiento pedagógico de los docentes de inglés como lengua extranjera son reconocidas y abordadas en un programa de formación inicial en una universidad pública en Colombia. El proyecto involucró la participación de formadores de docentes y docentes principiantes y el análisis de documentos. La investigación siguió un diseño cualitativo con un enfoque interpretativo y los datos utilizados fueron entrevistas semiestructuradas y documentos oficiales. Los resultados indican que mientras la mayoría de los formadores de docentes parecían ser conscientes de las muchas fuentes del conocimiento pedagógico de los docentes, los docentes principiantes enfatizaron su educación inicial como docentes y la experiencia docente como las únicas fuentes de su conocimiento pedagógico.

  4. The shanai, the pseudosphere and other imaginings: envisioning culturally contextualised mathematics education

    Science.gov (United States)

    Luitel, Bal Chandra; Taylor, Peter Charles

    2007-07-01

    Adopting a self-conscious form of co-generative writing and employing a bricolage of visual images and literary genres we draw on a recent critical auto/ethnographic inquiry to engage our readers in pedagogical thoughtfulness about the problem of culturally decontextualised mathematics education in Nepal, a country rich in cultural and linguistic diversity. Combining transformative, critical mathematics and ethnomathematical perspectives we develop a critical cultural perspective on the need for a culturally contextualized mathematics education that enables Nepalese students to develop (rather than abandon) their cultural capital. We illustrate this perspective by means of an ethnodrama which portrays a pre-service teacher's point of view of the universalist pedagogy of Dr. Euclid, a semi-fictive professor of undergraduate mathematics. We deconstruct the naivety of this conventional Western mathematics pedagogy arguing that it fails to incorporate salient aspects of Nepali culture. Subsequently we employ metaphorical imagining to envision a culturally inclusive mathematics education for enabling Nepalese teachers to (i) excavate multiple mathematical knowledge systems embedded in the daily practices of rural and remote villages across the country, and (ii) develop contextualized pedagogical perspectives to serve the diverse interests and aspirations of Nepali school children.

  5. Identifying the borders of mathematical knowledge

    International Nuclear Information System (INIS)

    Silva, Filipi Nascimento; Travencolo, Bruno A N; Viana, Matheus P; Costa, Luciano da Fontoura

    2010-01-01

    Based on a divide and conquer approach, knowledge about nature has been organized into a set of interrelated facts, allowing a natural representation in terms of graphs: each 'chunk' of knowledge corresponds to a node, while relationships between such chunks are expressed as edges. This organization becomes particularly clear in the case of mathematical theorems, with their intense cross-implications and relationships. We have derived a web of mathematical theorems from Wikipedia and, thanks to the powerful concept of entropy, identified its more central and frontier elements. Our results also suggest that the central nodes are the oldest theorems, while the frontier nodes are those recently added to the network. The network communities have also been identified, allowing further insights about the organization of this network, such as its highly modular structure.

  6. Mathematics as an Im/Pure Knowledge System: Symbiosis, (W)Holism and Synergy in Mathematics Education

    Science.gov (United States)

    Luitel, Bal Chandra

    2013-01-01

    The problem of culturally decontextualised mathematics education faced by Nepali students, teachers and teacher educators has often been oriented by the view of the nature of "mathematics as a body of pure knowledge," which gives rise to an exclusive emphasis on an ideology of singularity, epistemology of objectivism, language of…

  7. The Durban Holocaust Centre Educators and the Origins of Their Historical and Pedagogical Knowledge

    Science.gov (United States)

    Gouws, Brenda; Wassermann, Johan

    2018-01-01

    Education at Holocaust museums worldwide often falls to volunteer museum educators. The Durban Holocaust Centre in South Africa is no different. We set out to understand who the educators at the Durban Holocaust Centre were, where their historical and pedagogical knowledge came from, and to examine the connection between the two. The study…

  8. Health and pedagogical practice

    DEFF Research Database (Denmark)

    Koch, Anette Boye

    2014-01-01

    The aim of this book is to highlight the basic pedagogical knowledge and values in Danish educational daycare institutions (kindergartens). In the book we present a selction of current research and development projects covering central issues of the pedagogical work in Danish early childhood...

  9. The relationships within the mathematical content of teachers’ lesson sequences

    Science.gov (United States)

    Shahrill, M.; Prahmana, R. C. I.; Roslan, R.

    2017-12-01

    This study explored how mathematics content is carried through by means of the problems presented during lessons. Following the definitions and the coding criteria from the TIMSS 1999 Video Study, a total of 163 mathematics problems were identified in the video- recorded lesson sequences of four Bruneian mathematics teachers teaching at the Year 8 level. These problems were classified according to the four basic kinds of relationships: mathematically related, thematically related, repetition and unrelated. Drawing on the mathematical content of the teachers’ lesson sequences, the findings revealed variations among the mathematical problems coded as repetition and thematically related, between the four Brunei classes. The aggregated results obtained from the four classes highlighted several points of discussion, such as the relatively higher proportion of repetition problems (52%) from one teacher in particular; the percentage similarities of thematically related problems for all four classes (ranging from 26% to 33%); and the incredibly varied results for mathematically related problems across the four Brunei classes.

  10. Mitigating the Mathematical Knowledge Gap between High School and First Year University Chemical Engineering Mathematics Course

    Science.gov (United States)

    Basitere, Moses; Ivala, Eunice

    2015-01-01

    This paper reports on a study carried out at a University of Technology, South Africa, aimed at identifying the existence of the mathematical knowledge gap and evaluating the intervention designed to bridge the knowledge gap amongst students studying first year mathematics at the Chemical Engineering Extended Curriculum Program (ECP). In this…

  11. A CRITICAL APPROACH TO SCHOOL MATHEMATICAL KNOWLEDGE: THE CASE OF “REALISTIC” PROBLEMS IN GREEK PRIMARY SCHOOL TEXTBOOKS FOR SEVEN-YEAR-OLD PUPILS

    Directory of Open Access Journals (Sweden)

    Konstantinos Zacharos

    2011-03-01

    Full Text Available The reference contexts that accompany the “realistic” problems chosen for teaching mathematical concepts in the first school grades play a major educational role. However, choosing “realistic” problems in teaching is a complex process that must take into account various pedagogical, sociological and psychological parameters. This paper presents a selection of problems from the new mathematics textbook of the 2nd grade of Greek primary school which were solved and commented upon by 27 postgraduate students. The results of our research showed that the empirical reference contexts put forward in these problems create many difficulties in their “deciphering”, which leads us to conclude that their pedagogical role is problematic.

  12. Principle-Based Mathematics: An Exploratory Study

    OpenAIRE

    Poon, Rebecca Chung-Yan

    2014-01-01

    Although educators and policymakers are becoming increasingly aware of the need for professional development that is content specific (Kennedy, 1999) and focuses on deepening and broadening teachers' knowledge of content for teaching (American Federation of Teachers, 2002; National Academy of Education, 2009), little attention has been given to supporting teachers' development of content knowledge as defined by Shulman (1986). Principle-Based Mathematics (PBM), a presentation of K-12 mathemat...

  13. Early Predictors of High School Mathematics Achievement

    Science.gov (United States)

    Siegler, Robert S.; Duncan, Greg J.; Davis-Kean, Pamela E.; Duckworth, Kathryn; Claessens, Amy; Engel, Mimi; Susperreguy, Maria Ines; Meichu, Chen

    2012-01-01

    Identifying the types of mathematics content knowledge that are most predictive of students' long-term learning is essential for improving both theories of mathematical development and mathematics education. To identify these types of knowledge, we examined long-term predictors of high school students' knowledge of algebra and overall mathematics…

  14. The Framing Discussion: Connecting Student Experience with Mathematical Knowledge

    Science.gov (United States)

    Henning, John E.; Balong, Megan

    2011-01-01

    This article introduces the framing discussion, an informal discussion of a mathematical problem that takes place at the beginning of a lesson or unit. The purpose of the framing discussion is to assess student knowledge, motivate student interest, and to serve as a basis for guiding students to more formal mathematical knowledge. The article…

  15. 24 CFR 3285.307 - Perimeter support piers.

    Science.gov (United States)

    2010-04-01

    ... URBAN DEVELOPMENT MODEL MANUFACTURED HOME INSTALLATION STANDARDS Foundations § 3285.307 Perimeter support piers. (a) Piers required at mate-line supports, perimeter piers, and piers at exterior wall...

  16. Principles to Actions: Mathematics Programs as the Core for Student Learning

    Science.gov (United States)

    Brahier, Daniel; Leinwand, Steve; Huniker, DeAnn

    2014-01-01

    The National Council of Teachers of Mathematics (NCTM) launched the "standards-based" education movement in North America in 1989 with the release of "Curriculum and Evaluation Standards for School Mathematics," an unprecedented action to promote systemic improvement in mathematics education. Now, twenty-five years later, the…

  17. Study orientation and knowledge of basic vocabulary in Mathematics in the primary school

    Directory of Open Access Journals (Sweden)

    Marthie van der Walt

    2009-09-01

    mathematics on secondary and tertiary levels. The aim of this research was to investigate the extent to which the performance in study orientation (Study Orientation questionnaire in Mathematics (Primary and knowledge of basic vocabulary/terminology in mathematics (Mathematics Vocabulary (Primary (vocabulary as one aspect of language in Mathematics of Grade 4 to 7 learners predict performance in mathematics (Basic Mathematics (Primary. Three standardised questionnaires were administered, namely the Study Orientation questionnaire in Mathematics (Primary, or SOM(P, Mathematics Vocabulary (Primary or (MV(P, and Basic Mathematics (Primary or BM(P. The participants consisted of learners in Grade 4 to 7 (n = 1 103 in North-West Province with respectively Afrikaans, English and Tswana as their home language. Results from the data, by calculating intercorrelations and stepwise regression, confirmed that learners’ performance in mathematics (BM(P can be predicted through their performance in the knowledge of basic vocabulary in mathematics (MV(P, their “maths” anxiety, study attitude towards and study habits in mathematics (SOM(P. The results can be implemented to improve learners’ performance in mathematics when teachers identify inadequate knowledge of basic vocabulary in mathematics as well as study orientation (for example, “maths” anxiety, study attitude towards and study habits in mathematics in the early years of schooling. Learners’ scores can be checked to identify those requiring aid, support, remediation and/or counselling. An analysis of individual answers (particularly those where learner’s replies differ significantly in respect of the answers usually given by good achievers in mathematics could be extremely useful. Enculturing learners to the vocabulary of mathematical language is an aspect of instruction that needs specific attention. The three questionnaires, which are administered in this research, provide mathematics teachers with standardised

  18. Application of conceptual maps as didactic and pedagogical tools in the area of resources and information services

    Directory of Open Access Journals (Sweden)

    Maria Giovanna Guedes Farias

    2016-07-01

    Full Text Available Objective. Analyze the use of concept maps as didactic and pedagogical tools, from an experiment conducted in the classroom, in the disciplines Specialized Sources and Information Services of the graduation in Librarianship. Method. The methodological approach is characterized by its applied nature, exploratory and observation. Data were collected from the students by applying a questionnaire, and analysis took place with the help of content analysis techniques. Results. The most students see the conceptual maps as facilitators of knowledge construction, and view the use of these in different contexts, like the librarian activities. Conclusions. The use of concept maps as didactic and pedagogical tools can foster in students the enhancement of learning and reflection on the establishment of a route for the shared construction of new knowledge, adding previous knowledge and transforming them for use in cognitive fill gaps.

  19. Scotland's knowledge network: a progress report on Knowledge into Action.

    Science.gov (United States)

    Wales, Ann; Boyle, Derek

    2015-11-01

    Launched in 2012, Knowledge into Action is the national knowledge management strategy for the health and social care workforce in Scotland. It is transforming the role of the national digital knowledge service--NHS Education for Scotlands' Knowledge Network--and the NHSS librarian role to offer more active, tailored support for translating knowledge into frontline clinical practice. This includes the development of a national evidence search and summary service, help with converting knowledge into practical and usable formats for easy use at point of care and with using digital tools to share clinicians' learning, experience and expertise. Through this practical support, Knowledge into Action is contributing to quality and safety outcomes across NHS Scotland, building clinicians' capacity and capability in applying knowledge in frontline practice and service improvement. © The Author(s) 2015.

  20. Governing the Modern, Neoliberal Child through ICT Research in Mathematics Education

    DEFF Research Database (Denmark)

    Valero, Paola; Knijnik, Gelsa

    2015-01-01

    Research on the pedagogical uses of ICT for the learning of mathematics formulates cultural thesis about the desired subject of education and society, and thereby contribute to fabricate the rational, Modern, self-regulated, entrepreneurial neoliberal child. Using the Foucauldian notion...... of governmentality, the section Technology in the mathematics curriculum in the Third International Mathematics Education Research Handbook is discursively analyzed. We problematize how mathematics education research on ICT devices pedagogical technologies that steer the conduct of children to become the desired...

  1. Knowledge Communication as Situated Strategic Action

    DEFF Research Database (Denmark)

    Kampf, Constance

    as situated strategic action through which genres are (re)formed.  The medium of the Internet offers a space where the reification of this action can be observed, and its interactive potential offers academics insight into knowledge communication processes.  Thus, we propose that Bazerman's definition......Knowledge communication is an emerging means of understanding the processes involved in constructing and passing knowledge from person to person which works together with technical communication in the knowledge society.  The concept of knowledge communication compliments technical communication...... by allowing for the interpersonal aspects of knowledge creation and diffusions.  Combing technical and knowledge communication, then, covers the three major components of the knowledge economy-creation, diffusion, and use of knowledge. In my paper I propose that we consider three approaches to understanding...

  2. Divergence-Measure Fields, Sets of Finite Perimeter, and Conservation Laws

    Science.gov (United States)

    Chen, Gui-Qiang; Torres, Monica

    2005-02-01

    Divergence-measure fields in L∞ over sets of finite perimeter are analyzed. A notion of normal traces over boundaries of sets of finite perimeter is introduced, and the Gauss-Green formula over sets of finite perimeter is established for divergence-measure fields in L∞. The normal trace introduced here over a class of surfaces of finite perimeter is shown to be the weak-star limit of the normal traces introduced in Chen & Frid [6] over the Lipschitz deformation surfaces, which implies their consistency. As a corollary, an extension theorem of divergence-measure fields in L∞ over sets of finite perimeter is also established. Then we apply the theory to the initial-boundary value problem of nonlinear hyperbolic conservation laws over sets of finite perimeter.

  3. Toastmaster's Inspired Pedagogical Changes: From a Speech Class into a Public Relations Course

    Science.gov (United States)

    Shadinger, David

    2016-01-01

    Action research is used to view pedagogical changes, first in a speech class and then in a public relations course over a five-year period. The course instructor gained experience as a member of a Toastmasters International club and used Toastmasters-like activities, to revise content in the courses. Ultimately, students in the public relations…

  4. Physical Education in the context of rural education: the reality of the content ‘game’ in school

    Directory of Open Access Journals (Sweden)

    Nair Casagrande

    2017-07-01

    Full Text Available This paper presents the results of the research "Physical Education in the Landless Workers' Movement (MST: pedagogical experiences". The study was conducted in agrarian reform areas of the MST in the Recôncavo region, State of Bahia, Brazil. Its overall aim was was to analyze the reality of the pedagogical practice of the content game in Physical Education classes at the School of the Settlement New Panema, between the years 2009 until 2011. Data collection instruments used in this research consisted of the literature review, participant observation, analysis and semi-structured interviews.The results reveal that despite the physical education not having appear as a curricular component in the political-pedagogical project of the school, the content "game" was present in the pedagogical practice of multisseriate class. However, this was used only as a teaching tool for other fields of knowledge or as a recreational activity; not as a content of Physical Education classes.

  5. Pedagogical entrepreneurship in learning tasks

    Directory of Open Access Journals (Sweden)

    Marit Engum Hansen

    2016-11-01

    Full Text Available Background: The action plan "Entrepreneurship in Education – from primary to higher education "(2009-2014, proposed to establish a site for digital learning materials within entrepreneurship in basic education. PedEnt (Pedagogical Entrepreneurship was launched in autumn of 2014, and both the authors have contributed to the professional development of the site. Two of the learning assignments published on PedEnt constitute the research objects of this study. Methods: Based on pedagogical entrepreneurship we present a case study of learning work carried out by students at lower and upper secondary level. Using an analysis of assignment texts and as well as with video recordings we have identified the characteristics of entrepreneurial learning methods as they were expressed through each case. Results: The analysis showed that learning assignments can be characterized as entrepreneurial because they promoted the actor role and creativity of the students. We found that the relationship between the relevance of the assignments and the context in which they are given pose an important prerequisite for the students in order to experience the learning work as meaningful. Conclusions: Entrepreneurial learning methods challenge the traditional view that theory tends to take primacy over practice. To orient learning assignments within relevant contexts gives students opportunities to experience by themselves the need for increased knowledge.

  6. Pedagogical Beliefs and Attitudes of Computer Science Teachers in Greece

    Science.gov (United States)

    Fessakis, Georgios; Karakiza, Tsampika

    2011-01-01

    Pedagogical beliefs and attitudes significantly determine the professional skills and practice of teachers. Many professional development programs for teachers aim to the elaboration of the pedagogical knowledge in order to improve teaching quality. This paper presents the study of pedagogical beliefs of computer science teachers in Greece. The…

  7. The mathematical theory of signal processing and compression-designs

    Science.gov (United States)

    Feria, Erlan H.

    2006-05-01

    The mathematical theory of signal processing, named processor coding, will be shown to inherently arise as the computational time dual of Shannon's mathematical theory of communication which is also known as source coding. Source coding is concerned with signal source memory space compression while processor coding deals with signal processor computational time compression. Their combination is named compression-designs and referred as Conde in short. A compelling and pedagogically appealing diagram will be discussed highlighting Conde's remarkable successful application to real-world knowledge-aided (KA) airborne moving target indicator (AMTI) radar.

  8. Using Doubly Latent Multilevel Analysis to Elucidate Relationships between Science Teachers' Professional Knowledge and Students' Performance

    Science.gov (United States)

    Mahler, Daniela; Großschedl, Jörg; Harms, Ute

    2017-01-01

    Teachers make a difference for the outcome of their students in science classrooms. One focus in this context lies on teachers' professional knowledge. We describe this knowledge according to three domains, namely (1) content knowledge (CK), (2) pedagogical content knowledge (PCK), and (3) curricular knowledge (CuK). We hypothesise a positive…

  9. An investigation of mathematics and science instruction in English and Spanish for English language learners

    Science.gov (United States)

    Rodriguez-Esquivel, Marina

    The contextual demands of language in content area are difficult for ELLS. Content in the native language furthers students' academic development and native language skills, while they are learning English. Content in English integrates pedagogical strategies for English acquisition with subject area instruction. The following models of curriculum content are provided in most Miami Dade County Public Schools: (a) mathematics instruction in the native language with science instruction in English or (b) science instruction in the native language with mathematics instruction in English. The purpose of this study was to investigate which model of instruction is more contextually supportive for mathematics and science achievement. A pretest and posttest, nonequivalent group design was used with 94 fifth grade ELLs who received instruction in curriculum model (a) or (b). This allowed for statistical analysis that detected a difference in the means of .5 standard deviations with a power of .80 at the .05 level of significance. Pretreatment and post-treatment assessments of mathematics, reading, and science achievement were obtained through the administration of Aprenda-Segunda Edicion and the Florida Comprehensive Achievement Test. The results indicated that students receiving mathematics in English and Science in Spanish scored higher on achievement tests in both Mathematics and Science than the students who received Mathematics in Spanish and Science in English. In addition, the mean score of students on the FCAT mathematics examination was higher than their mean score on the FCAT science examination regardless of the language of instruction.

  10. Computer Algebra Recipes for Mathematical Physics

    CERN Document Server

    Enns, Richard H

    2005-01-01

    Over two hundred novel and innovative computer algebra worksheets or "recipes" will enable readers in engineering, physics, and mathematics to easily and rapidly solve and explore most problems they encounter in their mathematical physics studies. While the aim of this text is to illustrate applications, a brief synopsis of the fundamentals for each topic is presented, the topics being organized to correlate with those found in traditional mathematical physics texts. The recipes are presented in the form of stories and anecdotes, a pedagogical approach that makes a mathematically challenging subject easier and more fun to learn. Key features: * Uses the MAPLE computer algebra system to allow the reader to easily and quickly change the mathematical models and the parameters and then generate new answers * No prior knowledge of MAPLE is assumed; the relevant MAPLE commands are introduced on a need-to-know basis * All MAPLE commands are indexed for easy reference * A classroom-tested story/anecdote format is use...

  11. Understanding Preservice Teachers' Development of Pedagogical Knowledge Practices When Co-Teaching Primary Science to Peers

    Science.gov (United States)

    Hudson, Peter

    2014-01-01

    Preservice teachers articulate the need for more teaching experiences for developing their practices, however, extending beyond existing school arrangements may present difficulties. Thus, it is important to understand preservice teachers' development of pedagogical knowledge practices when in the university setting. This mixed-method study…

  12. Early predictors of high school mathematics achievement.

    Science.gov (United States)

    Siegler, Robert S; Duncan, Greg J; Davis-Kean, Pamela E; Duckworth, Kathryn; Claessens, Amy; Engel, Mimi; Susperreguy, Maria Ines; Chen, Meichu

    2012-07-01

    Identifying the types of mathematics content knowledge that are most predictive of students' long-term learning is essential for improving both theories of mathematical development and mathematics education. To identify these types of knowledge, we examined long-term predictors of high school students' knowledge of algebra and overall mathematics achievement. Analyses of large, nationally representative, longitudinal data sets from the United States and the United Kingdom revealed that elementary school students' knowledge of fractions and of division uniquely predicts those students' knowledge of algebra and overall mathematics achievement in high school, 5 or 6 years later, even after statistically controlling for other types of mathematical knowledge, general intellectual ability, working memory, and family income and education. Implications of these findings for understanding and improving mathematics learning are discussed.

  13. Pedagogical Content knowledge (PCK)

    DEFF Research Database (Denmark)

    Ellebæk, Jens Jakob; Nielsen, Birgitte Lund

    2016-01-01

    Artiklen præsenterer et historisk rids over PCK-forskningen frem mod en ny model der er udviklet i konsensus af centrale forskere. Analysen fokuserer særligt på lærerviden versus færdighed og kompetence og individuel kognition versus distribueret, medieret og situeret viden. Relevans i dansk lære...

  14. Examining Science Teachers' Development of Interdisciplinary Science Inquiry Pedagogical Knowledge and Practices

    Science.gov (United States)

    Chowdhary, Bhawna; Liu, Xiufeng; Yerrick, Randy; Smith, Erica; Grant, Brooke

    2014-12-01

    The current literature relates to how teachers develop knowledge and practice of science inquiry, but little has been reported on how teachers develop interdisciplinary science inquiry (ISI) knowledge and practice. This study examines the effect of university research experiences, ongoing professional development, and in-school support on teachers' development of ISI pedagogical knowledge and practices. It centers on documenting diverse teachers' journeys of experiencing ISI as well as developing knowledge of ISI. It was found that there was variation in ISI understanding and practice among the teachers as a result of the combination of teachers' experiences, beliefs, and participation. Thus, in order to help teachers develop ISI knowledge and pedagogy, barriers to ISI knowledge development and implementation must also be addressed. Professional developers must articulate clear program goals to all stakeholders including an explicit definition of ISI and the ability to recognize ISI attributes during research experiences as well as during classroom implementation. Teachers must also be held accountable for participation and reflection in all aspects of professional development. Program developers must also take into consideration teachers' needs, attitudes, and beliefs toward their students when expecting changes in teachers' cognition and behavior to teach inquiry-rich challenging science.

  15. Mathematical Knowledge for Teaching, Standards-Based Mathematics Teaching Practices, and Student Achievement in the Context of the "Responsive Classroom Approach"

    Science.gov (United States)

    Ottmar, Erin R.; Rimm-Kaufman, Sara E.; Larsen, Ross A.; Berry, Robert Q.

    2015-01-01

    This study investigates the effectiveness of the Responsive Classroom (RC) approach, a social and emotional learning intervention, on changing the relations between mathematics teacher and classroom inputs (mathematical knowledge for teaching [MKT] and standards-based mathematics teaching practices) and student mathematics achievement. Work was…

  16. Content Development, Presentation and Delivery for eLearning in Nuclear Science and Engineering: Experiences with Emerging Authoring Tools

    International Nuclear Information System (INIS)

    Bamford, S.; Afriyie, P.; Comlan, E.

    2016-01-01

    Full text: Transference of explicit knowledge starts from content development, and proceeds with packaging and delivery. A comparative study of some selected authoring tools for knowledge creation in Nuclear Sciences and Engineering education is being carried out at the School of Nuclear and Allied Sciences in Accra, Ghana. These authoring tools include commercial software (Macromedia Suite CS6, Learning 6.0) as well as freeware software (Xerte, eXe). A course, X-ray Fluorescence Spectrometry (NSAP 603), at the postgraduate School of Nuclear and Allied Sciences (SNAS), has been selected for migration onto an eLearning platform. Different authoring tools have been employed to create some ICT-based modules for teaching and learning. This paper therefore shares the experiences realized in moving from course syllabus to digitized modules, integrating pedagogical considerations, the strengths and weakness of the selected authoring tools, user-interactivity and usability of the modules produced. The need and the basis for the adoption of an appropriate authoring tool for creation of scientific, mathematical, and engineering documents and learning materials has also been discussed. Leveraging on ICT to produce pedagogically sound learning materials for eLearning platforms promotes interests of students in nuclear sciences, and ensures continuity in producing qualified professionals. (author

  17. Early Math Trajectories: Low-Income Children's Mathematics Knowledge From Ages 4 to 11.

    Science.gov (United States)

    Rittle-Johnson, Bethany; Fyfe, Emily R; Hofer, Kerry G; Farran, Dale C

    2017-09-01

    Early mathematics knowledge is a strong predictor of later academic achievement, but children from low-income families enter school with weak mathematics knowledge. An early math trajectories model is proposed and evaluated within a longitudinal study of 517 low-income American children from ages 4 to 11. This model includes a broad range of math topics, as well as potential pathways from preschool to middle grades mathematics achievement. In preschool, nonsymbolic quantity, counting, and patterning knowledge predicted fifth-grade mathematics achievement. By the end of first grade, symbolic mapping, calculation, and patterning knowledge were the important predictors. Furthermore, the first-grade predictors mediated the relation between preschool math knowledge and fifth-grade mathematics achievement. Findings support the early math trajectories model among low-income children. © 2016 The Authors. Child Development © 2016 Society for Research in Child Development, Inc.

  18. Examining the Interactions between Mathematical Content and Pedagogical Form: Notes on the Structure of the Lesson

    Science.gov (United States)

    Karp, Alexander

    2004-01-01

    Research conducted during the Trends in International Mathematics and Science Study (TIMSS) and later (Stigler et al. 1999; Stigler and Hiebert 1999) undertook a thorough analysis of lessons in the United States, Japan, and Germany. This article focuses on certain aspects of mathematics lessons in Russia. Specifically, the attempt is made to…

  19. Exploring the Relationship between Secondary Science Teachers' Subject Matter Knowledge and Knowledge of Student Conceptions While Teaching Evolution by Natural Selection

    Science.gov (United States)

    Lucero, Margaret M.; Petrosino, Anthony J.; Delgado, Cesar

    2017-01-01

    The fundamental scientific concept of evolution occurring by natural selection is home to many deeply held alternative conceptions and considered difficult to teach. Science teachers' subject matter knowledge (SMK) and the pedagogical content knowledge (PCK) component of knowledge of students' conceptions (KOSC) can be valuable resources for…

  20. Pedagogical innovation in teacher teams

    DEFF Research Database (Denmark)

    Weitze, Charlotte Lærke

    2015-01-01

    This paper presents findings from a longitudinal design-based research project examining how to enable reflection and pedagogical innovation in teacher teams. The article identifies and analyses the teachers’ learning trajectories and innovative strategies when working together in the IT...... learning designs, the research aims to clarify what kind of knowledge is being developed and shared in the teacher teams, and how this contributes to the organisational learning process. The context is Global Classroom, an innovative synchronous hybrid videoconference concept, where adult students can......-pedagogical Think Tank for Teacher Teams (after this: ITP4T) (Weitze, 2014a), a competence development model, which was developed in an earlier phase of the research project. By using theoretical lenses from innovative knowledge development frameworks to examine the teachers’ utterances, interactions and new...