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…

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…

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.

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

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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

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.

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

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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

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…

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

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

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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

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.

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.

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…

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…

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

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…

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 ...

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…

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…

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.

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.

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…

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…

Generating pedagogical content knowledge in teacher education students

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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,

Developing Technological Pedagogical Content Knowledge (TPACK) in Animal Physiology

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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.

Can Pedagogical Concerns Eclipse Mathematical Knowledge?

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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…

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

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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.

Technological Pedagogical Content Knowledge -- A Review of the Literature

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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…

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

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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.

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

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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…

Teaching programming in secundary school: a pedagogical content knowledge perspective

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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

Programming : teachers and pedagogical content knowledge in the Netherlands

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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

Technological Pedagogical Content Knowledge - a review of the literature

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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

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

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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…

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

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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…

Proposal of a pedagogical model for mathematics teacher education

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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.

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...

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

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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.

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

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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…

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

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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…

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

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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…

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

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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

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

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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…

A Review of Gamification in Technological Pedagogical Content Knowledge

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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.

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 ...

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

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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…

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

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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…

Teachers' Pedagogical Mathematical Awareness in Swedish Early Childhood Education

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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…

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

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

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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…

Does Teachers' Pedagogical Content Knowledge Affect Their Fluency Instruction?

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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…

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

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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.

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

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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…

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

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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…

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

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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

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

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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…

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

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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…

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

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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…

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

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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…

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

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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…

Preservice Secondary Mathematics Teachers' Knowledge of Students

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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…

Exploring Preschool Teachers' Technological Pedagogical Content Knowledge of Educational Games

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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…

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

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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.

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

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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…

Interaction between Science Teaching Orientation and Pedagogical Content Knowledge Components

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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…

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

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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)

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

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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…

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

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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.

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

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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.

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

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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…

Pedagogical content knowledge and preparation of high school physics teachers

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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.

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

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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...

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

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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.

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

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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…

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

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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…

Loop-Loop Interactions Regulate KaiA-Stimulated KaiC Phosphorylation in the Cyanobacterial KaiABC Circadian Clock

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Egli, Martin [Vanderbilt Univ., Nashville, TN (United States); Pattanayek, Rekha [Vanderbilt Univ., Nashville, TN (United States); Sheehan, Jonathan H. [Vanderbilt Univ., Nashville, TN (United States); Xu, Yao [Vanderbilt Univ., Nashville, TN (United States); Mori, Tetsuya [Vanderbilt Univ., Nashville, TN (United States); Smith, Jarrod A. [Vanderbilt Univ., Nashville, TN (United States); Johnson, Carl H. [Vanderbilt Univ., Nashville, TN (United States)

2013-01-25

We found that the Synechococcus elongatus KaiA, KaiB, and KaiC proteins in the presence of ATP generate a post-translational oscillator that runs in a temperature-compensated manner with a period of 24 h. KaiA dimer stimulates phosphorylation of KaiC hexamer at two sites per subunit, T432 and S431, and KaiB dimers antagonize KaiA action and induce KaiC subunit exchange. Neither the mechanism of KaiA-stimulated KaiC phosphorylation nor that of KaiB-mediated KaiC dephosphorylation is understood in detail at present. We demonstrate here that the A422V KaiC mutant sheds light on the former mechanism. It was previously reported that A422V is less sensitive to dark pulse-induced phase resetting and has a reduced amplitude of the KaiC phosphorylation rhythm in vivo. A422 maps to a loop (422-loop) that continues toward the phosphorylation sites. By pulling on the C-terminal peptide of KaiC (A-loop), KaiA removes restraints from the adjacent 422-loop whose increased flexibility indirectly promotes kinase activity. We found in the crystal structure that A422V KaiC lacks phosphorylation at S431 and exhibits a subtle, local conformational change relative to wild-type KaiC. Molecular dynamics simulations indicate higher mobility of the 422-loop in the absence of the A-loop and mobility differences in other areas associated with phosphorylation activity between wild-type and mutant KaiCs. Finally, the A-loop–422-loop relay that informs KaiC phosphorylation sites of KaiA dimer binding propagates to loops from neighboring KaiC subunits, thus providing support for a concerted allosteric mechanism of phosphorylation.

Pedagogical Content Knowledge: A Case Study of ESL Teacher Educator

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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…

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

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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

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

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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

Science Teachers’ Pedagogical Content Knowledge and Integrated Approach

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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.

Intrapersonal Factors Affecting Technological Pedagogical Content Knowledge of Agricultural Education Teachers

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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…

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

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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'…

Preservice Elementary Teachers' Mathematics Content Knowledge and Teacher Efficacy

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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…

Does content knowledge matter for new teachers?

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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

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

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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…

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

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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

21st Century Pedagogical Content Knowledge and Science Teaching and Learning

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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…

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

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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…

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

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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…

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

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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…

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

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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…

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

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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

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

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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

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

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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

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

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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…

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

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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…

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

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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,…

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

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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…

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

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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…

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

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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

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

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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…

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

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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…

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

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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.

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

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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…

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

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.).

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

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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…

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

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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

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

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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…

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

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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

Strategies for Mentoring Pedagogical Knowledge

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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…

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

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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…

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 ...

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…

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

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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…

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

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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

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

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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…

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

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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.

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

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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…

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.

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

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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…

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

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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.

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

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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.

The Future of Pedagogical Action Research in Psychology

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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…

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

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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.

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

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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.

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

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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…

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

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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…

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.

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

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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…

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.

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

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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…

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

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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.

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.

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.

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

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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…

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

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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…

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

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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

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

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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…

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

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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…

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.

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

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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.

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

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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…

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

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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…

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

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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.

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

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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…

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...

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

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

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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.

Enhancing mathematics teachers' pedagogical content knowledge and skills in Tanzania

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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

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

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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.

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

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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.

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

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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.

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

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…

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…

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…

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…

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

Domain knowledge patterns in pedagogical diagnostics

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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.

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)…

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…

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…

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.

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.

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.

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

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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).…

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.

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…

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.

CryoEM and Molecular Dynamics of the Circadian KaiB-KaiC Complex Indicates That KaiB Monomers Interact with KaiC and Block ATP Binding Clefts

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Villarreal, Seth A.; Pattanayek, Rekha; Williams, Dewight R.; Mori, Tetsuya; Qin, Ximing; Johnson, Carl H.; Egli, Martin; Stewart, Phoebe L. [Case Western; (Vanderbilt); (Vanderbilt-MED)

2014-10-02

The circadian control of cellular processes in cyanobacteria is regulated by a posttranslational oscillator formed by three Kai proteins. During the oscillator cycle, KaiA serves to promote autophosphorylation of KaiC while KaiB counteracts this effect. Here, we present a crystallographic structure of the wild-type Synechococcus elongatus KaiB and a cryo-electron microscopy (cryoEM) structure of a KaiBC complex. The crystal structure shows the expected dimer core structure and significant conformational variations of the KaiB C-terminal region, which is functionally important in maintaining rhythmicity. The KaiBC sample was formed with a C-terminally truncated form of KaiC, KaiC-Δ489, which is persistently phosphorylated. The KaiB–KaiC-Δ489 structure reveals that the KaiC hexamer can bind six monomers of KaiB, which form a continuous ring of density in the KaiBC complex. We performed cryoEM-guided molecular dynamics flexible fitting simulations with crystal structures of KaiB and KaiC to probe the KaiBC protein–protein interface. This analysis indicated a favorable binding mode for the KaiB monomer on the CII end of KaiC, involving two adjacent KaiC subunits and spanning an ATP binding cleft. A KaiC mutation, R468C, which has been shown to affect the affinity of KaiB for KaiC and lengthen the period in a bioluminescence rhythm assay, is found within the middle of the predicted KaiBC interface. The proposed KaiB binding mode blocks access to the ATP binding cleft in the CII ring of KaiC, which provides insight into how KaiB might influence the phosphorylation status of KaiC.

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…

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,…

DA Masolo A Review of Kai Kresse's Philosophising in Mombasa ...

African Journals Online (AJOL)

DA Masolo

Kai Kresse's Philosophising in Mombasa: Knowledge, Islam and Intellectual Practice on the Swahili Coast 1. A Review of Kai ... (Edinburgh: Edinburgh University Press, 2007, for the. International African Institute, London, in collaboration with.

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…

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.

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…

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.

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.

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.

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.

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'…

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…

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

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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.

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

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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.

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…

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

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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.

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

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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.

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…

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 ...

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.

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…

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

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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…

Connecting Biology and Mathematics: First Prepare the Teachers

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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

Connecting biology and mathematics: first prepare the teachers.

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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.

Survey of Two New (Kai 1 and Kai 2) and Other Blood Groups in Dogs of North America.

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Euler, C C; Lee, J H; Kim, H Y; Raj, K; Mizukami, K; Giger, U

2016-09-01

Based upon serology, >10 canine blood group systems have been reported. We surveyed dogs for dog erythrocyte antigen (DEA) 1 and 2 new blood types (Kai 1 and Kai 2), and some samples also were screened for Dal and DEA 3, 4, and 7. Blood samples provided by owners, breeders, animal blood banks, and clinical laboratories were typed for DEA 1 by an immunochromatographic strip technique with a monoclonal antibody and analysis of band intensity. Both new antigens, the Dal and other DEAs (except DEA 7 by tube method), were assessed by a gel column method with either monoclonal or polyclonal antibodies. The same gel column method was applied for alloantibody detection. Of 503 dogs typed, 59.6% were DEA 1+ with 4% weakly, 10% moderately, and 45.6% strongly DEA 1+. Regarding Kai 1 and Kai 2, 94% were Kai 1+/Kai 2-, 5% were Kai 1-/Kai 2- and 1% were Kai 1-/Kai 2+, but none were Kai 1+/Kai 2+. There was no relationship between Kai 1/Kai 2 and other blood types tested. Plasma from DEA 1-, Kai 1-, Kai 2- dogs, or some combination of these contained no detectable alloantibodies against DEA 1 and Kai 1 or Kai, respectively. The new blood types, called Kai 1 and Kai 2, are unrelated to DEA 1, 3, 4, and 7 and Dal. Kai 1+/Kai 2- dogs were most commonly found in North America. The clinical relevance of Kai 1 and Kai 2 in canine transfusion medicine still needs to be elucidated. Copyright © 2016 The Authors. Journal of Veterinary Internal Medicine published by Wiley Periodicals, Inc. on behalf of the American College of Veterinary Internal Medicine.

Dephosphorylation of the Core Clock Protein KaiC in the Cyanobacterial KaiABC Circadian Oscillator Proceeds via an ATP Synthase Mechanism

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Egli, Martin; Mori, Tetsuya; Pattanayek, Rekha; Xu, Yao; Qin, Ximing; Johnson, Carl H. (Vanderbilt)

2014-10-02

strikingly similar makeups of the active sites at the interfaces between {alpha}/{beta} heterodimers of F1-ATPase and between monomeric subunits in the KaiCII hexamer. Several KaiCII residues play a critical role in the relative activities of kinase and ATP synthase, among them R385, which stabilizes the compact form and helps kinase action reach a plateau, and T426, a short-lived phosphorylation site that promotes and affects the order of dephosphorylation.

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

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

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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…

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

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

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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…

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

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…

Making Culturally Responsive Mathematics Teaching Explicit: A Lesson Analysis Tool

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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…

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

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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.

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

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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.

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.

Kai õpetab iseennast / Kai Kaljo ; intervjueerinud R[eet] V[arblane

Index Scriptorium Estoniae

Kaljo, Kai, 1959-

2011-01-01

Kai Kaljo isikunäitus "Kai õpetab iseennast" Hobusepea galeriis 2.-14. novembrini 2011. Kaks videot seostuvad Kai Kaljo õppejõutööga Tallinna Ülikoolis, ka kaasaegse kunsti professori ametist Tallinna Ülikooli kunstihariduse osakonnas. Näitusel osale külalisesinejana Austraalia kirjanik Luke Davies, näitusel oli tema lühifilm "Õhk"

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

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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…

Prospective Secondary Mathematics Teachers' Perspectives and Mathematical Knowledge for Teaching

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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…

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

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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

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.

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

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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…

Clinical teachers' tacit knowledge of basic pedagogic principles.

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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.

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.

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.

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

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

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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…

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…

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.

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

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

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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…

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

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.

Characterising the Perceived Value of Mathematics Educational Apps in Preservice Teachers

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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…

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.

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

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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.

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

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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.

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).…

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.

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

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

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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…

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

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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,…

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…

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

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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…

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

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

2018-02-01

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.

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...

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.

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

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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.

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.

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…

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

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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…

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...

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

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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. 

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

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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

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

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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

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

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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…

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

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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…

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

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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.

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

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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…

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

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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.

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

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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.

GENERAL TASKS OF MATHEMATICAL EDUCATION DEVELOPMENT

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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.

CULTUROLOGICAL APPROACH AS METHODOLOGICAL BASIS OF MATHEMATICAL EDUCATION

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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

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

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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.

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

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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…

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...

The Case for Pedagogical Action Research in Psychology Learning and Teaching

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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…

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

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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…

Mathematical knowledge in teaching

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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.

The Legionella pneumophila kai operon is implicated in stress response and confers fitness in competitive environments

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Loza-Correa, Maria; Sahr, Tobias; Rolando, Monica; Daniels, Craig; Petit, Pierre; Skarina, Tania; Valero, Laura Gomez; Dervins-Ravault, Delphine; Honoré, Nadine; Savchenko, Aleksey; Buchrieser, Carmen

2014-01-01

Summary Legionella pneumophila uses aquatic protozoa as replication niche and protection from harsh environments. Although L. pneumophila is not known to have a circadian clock, it encodes homologues of the KaiBC proteins of Cyanobacteria that regulate circadian gene expression. We show that L. pneumophila kaiB, kaiC and the downstream gene lpp1114, are transcribed as a unit under the control of the stress sigma factor RpoS. KaiC and KaiB of L. pneumophila do not interact as evidenced by yeast and bacterial two-hybrid analyses. Fusion of the C-terminal residues of cyanobacterial KaiB to Legionella KaiB restores their interaction. In contrast, KaiC of L. pneumophila conserved autophosphorylation activity, but KaiB does not trigger the dephosphorylation of KaiC like in Cyanobacteria. The crystal structure of L. pneumophila KaiB suggests that it is an oxidoreductase-like protein with a typical thioredoxin fold. Indeed, mutant analyses revealed that the kai operon-encoded proteins increase fitness of L. pneumophila in competitive environments, and confer higher resistance to oxidative and sodium stress. The phylogenetic analysis indicates that L. pneumophila KaiBC resemble Synechosystis KaiC2B2 and not circadian KaiB1C1. Thus, the L. pneumophila Kai proteins do not encode a circadian clock, but enhance stress resistance and adaption to changes in the environments. PMID:23957615

Pedagogical design for knowledge creating inquiry in customer projects

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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.

A Study of Geometry Content Knowledge of Elementary Preservice Teachers

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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.

A study of geometry content knowledge of elementary preservice teachers

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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.

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

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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…

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

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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…

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

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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

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

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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.

The KAI Cognitive Style Inventory: Was it personality all along?

OpenAIRE

Von Wittich, D.; Antonakis, J.

2011-01-01

Kirton's Adaption-Innovation Inventory (KAI) is a widely-used measure of "cognitive style." Surprisingly, there is very little research investigating the discriminant and incremental validity of the KAI. In two studies (n = 213), we examined whether (a) we could predict KAI scores with the "big five" personality dimensions and (b) the KAI scores predicted leadership behavior when controlling for personality and ability. Correcting for measurement error, we found that KAI scores were predicted...

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?’

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

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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…

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 ...

ADP Regulates the Structure and Function of the Protein KaiC

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2016-08-11

LiWang lab exploited this in vitro clock system to gain an atomic -resolution understanding of a circadian clock. The rationale is that fundamental...researchers are Hispanic. On a peer-reviewed research article from the LiWang lab, a Hispanic undergraduate student was an author, as were two non...Using both NMR and fluorescence spectroscopy , the LiWang lab showed that KaiA enhances KaiB-KaiC binding, and KaiC enhances KaiA-KaiB binding (Tseng et

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

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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…

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.

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

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

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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

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.

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

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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…

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

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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

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

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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…

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.

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.

Content Area Literacy in the Mathematics Classroom

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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…

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

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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…

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.

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

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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.

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

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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…

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

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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…

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

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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.…

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

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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

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

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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…

Pedagogic Knowledge and the Victorian Era Anglo-American Teacher.

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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)

Circadian clock protein KaiC forms ATP-dependent hexameric rings and binds DNA.

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Mori, Tetsuya; Saveliev, Sergei V; Xu, Yao; Stafford, Walter F; Cox, Michael M; Inman, Ross B; Johnson, Carl H

2002-12-24

KaiC from Synechococcus elongatus PCC 7942 (KaiC) is an essential circadian clock protein in cyanobacteria. Previous sequence analyses suggested its inclusion in the RecADnaB superfamily. A characteristic of the proteins of this superfamily is that they form homohexameric complexes that bind DNA. We show here that KaiC also forms ring complexes with a central pore that can be visualized by electron microscopy. A combination of analytical ultracentrifugation and chromatographic analyses demonstrates that these complexes are hexameric. The association of KaiC molecules into hexamers depends on the presence of ATP. The KaiC sequence does not include the obvious DNA-binding motifs found in RecA or DnaB. Nevertheless, KaiC binds forked DNA substrates. These data support the inclusion of KaiC into the RecADnaB superfamily and have important implications for enzymatic activity of KaiC in the circadian clock mechanism that regulates global changes in gene expression patterns.

Characterising the perceived value of mathematics educational apps in preservice teachers

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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.

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

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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…

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

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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.

Understanding Teachers' Pedagogical Knowledge In ESL Vocabulary Teaching

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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.

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

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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.

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

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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.

The structure of the karrikin-insensitive protein (KAI2) in Arabidopsis thaliana.

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Bythell-Douglas, Rohan; Waters, Mark T; Scaffidi, Adrian; Flematti, Gavin R; Smith, Steven M; Bond, Charles S

2013-01-01

KARRIKIN INSENSITIVE 2 (KAI2) is an α/β hydrolase involved in seed germination and seedling development. It is essential for plant responses to karrikins, a class of butenolide compounds derived from burnt plant material that are structurally similar to strigolactone plant hormones. The mechanistic basis for the function of KAI2 in plant development remains unclear. We have determined the crystal structure of Arabidopsis thaliana KAI2 in space groups P2(1) 2(1) 2(1) (a =63.57 Å, b =66.26 Å, c =78.25 Å) and P2(1) (a =50.20 Å, b =56.04 Å, c =52.43 Å, β =116.12°) to 1.55 and 2.11 Å respectively. The catalytic residues are positioned within a large hydrophobic pocket similar to that of DAD2, a protein required for strigolactone response in Petunia hybrida. KAI2 possesses a second solvent-accessible pocket, adjacent to the active site cavity, which offers the possibility of allosteric regulation. The structure of KAI2 is consistent with its designation as a serine hydrolase, as well as previous data implicating the protein in karrikin and strigolactone signalling.

The structure of the karrikin-insensitive protein (KAI2 in Arabidopsis thaliana.

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Rohan Bythell-Douglas

Full Text Available KARRIKIN INSENSITIVE 2 (KAI2 is an α/β hydrolase involved in seed germination and seedling development. It is essential for plant responses to karrikins, a class of butenolide compounds derived from burnt plant material that are structurally similar to strigolactone plant hormones. The mechanistic basis for the function of KAI2 in plant development remains unclear. We have determined the crystal structure of Arabidopsis thaliana KAI2 in space groups P2(1 2(1 2(1 (a =63.57 Å, b =66.26 Å, c =78.25 Å and P2(1 (a =50.20 Å, b =56.04 Å, c =52.43 Å, β =116.12° to 1.55 and 2.11 Å respectively. The catalytic residues are positioned within a large hydrophobic pocket similar to that of DAD2, a protein required for strigolactone response in Petunia hybrida. KAI2 possesses a second solvent-accessible pocket, adjacent to the active site cavity, which offers the possibility of allosteric regulation. The structure of KAI2 is consistent with its designation as a serine hydrolase, as well as previous data implicating the protein in karrikin and strigolactone signalling.

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

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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.

Pedagogical Applications from Real Analysis for Secondary Mathematics Teachers

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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…

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

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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

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

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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…

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

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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.

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

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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…

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.

The role of mathematics for physics teaching and understanding

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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.

Researcher sherlockiana pedagogical perspective

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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.

Spent Mushroom Waste as a Media Replacement for Peat Moss in Kai-Lan (Brassica oleracea var. Alboglabra Production