Jansen, Amanda; Berk, Dawn; Meikle, Erin
In this article, Amanda Jansen, Dawn Berk, and Erin Meikle investigate the impact of mathematics teacher education on teaching practices. In their study they interviewed six first-year teachers who graduated from the same elementary teacher education program and who were oriented toward teaching mathematics conceptually. They observed each teacher…
Dechenne, Sue Ellen
Graduate teaching assistants (GTAs) from science, technology, engineering, and mathematics (STEM) are important in the teaching of undergraduate students (Golde & Dore, 2001). However, they are often poorly prepared for teaching (Luft, Kurdziel, Roehrig, & Turner, 2004). This dissertation addresses teaching effectiveness in three related manuscripts: (1) A position paper that summarizes the current research on and develops a model of GTA teaching effectiveness. (2) An adaptation and validation of two instruments; GTA perception of teaching training and STEM GTA teaching self-efficacy. (3) A model test of factors that predict STEM GTA teaching self-efficacy. Together these three papers address key questions in the understanding of teaching effectiveness in STEM GTAs including: (a) What is our current knowledge of factors that affect the teaching effectiveness of GTAs? (b) Given that teaching self-efficacy is strongly linked to teaching performance, how can we measure STEM GTAs teaching self-efficacy? (c) Is there a better way to measure GTA teaching training than currently exists? (d) What factors predict STEM GTA teaching self-efficacy? An original model for GTA teaching effectiveness was developed from a thorough search of the GTA teaching literature. The two instruments---perception of training and teaching self-efficacy---were tested through self-report surveys using STEM GTAs from six different universities including Oregon State University (OSU). The data was analyzed using exploratory and confirmatory factor analysis. Using GTAs from the OSU colleges of science and engineering, the model of sources of STEM GTA teaching self-efficacy was tested by administering self-report surveys and analyzed by using OLS regression analysis. Language and cultural proficiency, departmental teaching climate, teaching self-efficacy, GTA training, and teaching experience affect GTA teaching effectiveness. GTA teaching self-efficacy is a second-order factor combined from self
Hiebert, James; Berk, Dawn; Miller, Emily
The purpose of this longitudinal study was to investigate the relationships between mathematics teacher preparation and graduates' analyses of classroom teaching. Fifty-three graduates from an elementary teacher preparation program completed 4 video-based, analysis-of-teaching tasks in the semester before graduation and then in each of the 3…
Gilmore, Joanna; Maher, Michelle A.; Feldon, David F.; Timmerman, Briana
Research indicates that modifying teachers' beliefs about learning and teaching (i.e. teaching orientation) may be a prerequisite to changing their teaching practices. This mixed methods study quantitized data from interviews with 65 graduate teaching assistants (GTAs) from science, technology, engineering, and mathematics (STEM) fields to assess…
DeChenne, Sue Ellen; Koziol, Natalie; Needham, Mark; Enochs, Larry
Graduate teaching assistants (GTAs) in science, technology, engineering, and mathematics (STEM) have a large impact on undergraduate instruction but are often poorly prepared to teach. Teaching self-efficacy, an instructor’s belief in his or her ability to teach specific student populations a specific subject, is an important predictor of teaching skill and student achievement. A model of sources of teaching self-efficacy is developed from the GTA literature. This model indicates that teaching experience, departmental teaching climate (including peer and supervisor relationships), and GTA professional development (PD) can act as sources of teaching self-efficacy. The model is pilot tested with 128 GTAs from nine different STEM departments at a midsized research university. Structural equation modeling reveals that K–12 teaching experience, hours and perceived quality of GTA PD, and perception of the departmental facilitating environment are significant factors that explain 32% of the variance in the teaching self-efficacy of STEM GTAs. This model highlights the important contributions of the departmental environment and GTA PD in the development of teaching self-efficacy for STEM GTAs. PMID:26250562
DeChenne, Sue Ellen; Koziol, Natalie; Needham, Mark; Enochs, Larry
Graduate teaching assistants (GTAs) in science, technology, engineering, and mathematics (STEM) have a large impact on undergraduate instruction but are often poorly prepared to teach. Teaching self-efficacy, an instructor's belief in his or her ability to teach specific student populations a specific subject, is an important predictor of teaching skill and student achievement. A model of sources of teaching self-efficacy is developed from the GTA literature. This model indicates that teaching experience, departmental teaching climate (including peer and supervisor relationships), and GTA professional development (PD) can act as sources of teaching self-efficacy. The model is pilot tested with 128 GTAs from nine different STEM departments at a midsized research university. Structural equation modeling reveals that K-12 teaching experience, hours and perceived quality of GTA PD, and perception of the departmental facilitating environment are significant factors that explain 32% of the variance in the teaching self-efficacy of STEM GTAs. This model highlights the important contributions of the departmental environment and GTA PD in the development of teaching self-efficacy for STEM GTAs. © 2015 S. E. DeChenne et al. CBE—Life Sciences Education © 2015 The American Society for Cell Biology. This article is distributed by The American Society for Cell Biology under license from the author(s). It is available to the public under an Attribution–Noncommercial–Share Alike 3.0 Unported Creative Commons License (http://creativecommons.org/licenses/by-nc-sa/3.0).
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.
Md Kamaruddin, Nafisah Kamariah; Md Amin, Zulkarnain
The challenge in mathematics education is finding the best way to teach mathematics. When students learn the reasoning and proving in mathematics, they will be proficient in mathematics. Students must know mathematics before they can apply it. Symbolism and logic is the key to both the learning of mathematics and its effective application to…
Greenberg, Julie; Jacobs, Sandi
As a follow up to National Council on Teacher Quality (NCTQ's) national studies of how well elementary teachers are prepared to teach reading and mathematics, NCTQ looks at preparation in both subjects in all undergraduate teacher preparation programs in New Mexico. This analysis evaluated New Mexico's eight undergraduate elementary teacher…
Grootenboer, Peter; Edwards-Groves, Christine
In this paper we argue that mathematics teaching can be conceptualised as a form of praxis. Viewing mathematics teaching as praxis foregrounds the moral nature of teaching and the educational practices that are developed in response to the educational needs in particular sites. The case for praxis in mathematics education is then made by drawing…
Martin, Tami S.; Speer, William R.
This article describes features, consistent messages, and new components of "Mathematics Teaching Today: Improving Practice, Improving Student Learning" (NCTM 2007), an updated edition of "Professional Standards for Teaching Mathematics" (NCTM 1991). The new book describes aspects of high-quality mathematics teaching; offers a model for observing,…
Bonello, Mary Rose; Camilleri, Silvana
'Technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances students' learning.' (Principles and Standards for School Mathematics-NCTM April 2000)
Amidon, Joel C.
What happens when the problem of inequitable access to mathematics is addressed by agape (pronounced agapa) or attending to the relationships students develop with mathematics? To respond to this question, this paper offers a description of the journey towards teaching mathematics as agape. First, I organized examples of equity pedagogy around the…
Krantz, Steven G
This third edition is a lively and provocative tract on how to teach mathematics in today's new world of online learning tools and innovative teaching devices. The author guides the reader through the joys and pitfalls of interacting with modern undergraduates-telling you very explicitly what to do and what not to do. This third edition has been streamlined from the second edition, but still includes the nuts and bolts of good teaching, discussing material related to new developments in teaching methodology and technique, as well as adding an entire new chapter on online teaching methods.
Solidly grounded in up-to-date research, theory and technology,?Teaching Secondary Mathematics?is a practical, student-friendly, and popular text for secondary mathematics methods courses. It provides clear and useful approaches for mathematics teachers, and shows how concepts typically found in a secondary mathematics curriculum can be taught in a positive and encouraging way. The thoroughly revised fourth edition combines this pragmatic approach with truly innovative and integrated technology content throughout. Synthesized content between the book and comprehensive companion websi
Providing essential guidance and background information about teaching mathematics, this book is intended particularly for teachers who do not regard themselves as specialists in mathematics. It deals with issues of learning and teaching, including the delivery of content and the place of problems and investigations. Difficulties which pupils encounter in connection with language and symbols form important sections of the overall discussion of how to enhance learning. The curriculum is considered in brief under the headings of number, algebra, shape and space, and data handling, and special at
Sead Rešić; Eldina Atić
In this research, the application of contemporary teaching aids in Mathematics teaching in elementary school was analyzed from the aspect of teachers, students and parents. The application of contemporary teaching aids in Mathematics teaching was analyzed through a sample of 100 students, and attitudes about the aids were examined from the points of view of students, teachers and parents. In this research, descriptive method, questionnaire and test were used. Results of the resear...
The practice of teaching mathematics : experimental conditions of change. - In: The culture of the mathematics classroom / ed. by Falk Seeger .... - Cambridge u.a. : Cambridge Univ. Press, 1998. - S. 104-124
Sharp, J. J.; Moore, E.
This paper outlines a technique for teaching a rigorous course in calculus and differential equations which stresses applicability of the mathematics to problems in civil engineering. The method involves integration of subject matter and team teaching. (SD)
Examines ways of developing college students' motivation for mathematical training; describes the type of mathematical knowledge required in the geography discipline; and explores an applied approach to mathematics teaching based on a systems concept. For journal availability, see SO 506 224. (Author/AV)
Hine, Gregory S. C.
This qualitative research project explored the self-perceptions of pre-service secondary mathematics teachers completing a Graduate Diploma of Secondary Education. Specifically, the researcher investigated the extent to which teachers perceived their readiness to commence a secondary mathematics teaching position. The project relied principally on…
Feldon, David F; Peugh, James; Timmerman, Briana E; Maher, Michelle A; Hurst, Melissa; Strickland, Denise; Gilmore, Joanna A; Stiegelmeyer, Cindy
Science, technology, engineering, and mathematics (STEM) graduate students are often encouraged to maximize their engagement with supervised research and minimize teaching obligations. However, the process of teaching students engaged in inquiry provides practice in the application of important research skills. Using a performance rubric, we compared the quality of methodological skills demonstrated in written research proposals for two groups of early career graduate students (those with both teaching and research responsibilities and those with only research responsibilities) at the beginning and end of an academic year. After statistically controlling for preexisting differences between groups, students who both taught and conducted research demonstrate significantly greater improvement in their abilities to generate testable hypotheses and design valid experiments. These results indicate that teaching experience can contribute substantially to the improvement of essential research skills.
The author shows how the teaching of mathematics may be adapted so that it is "humanized." It is asserted that the standard mathematics program "...appeals to the intellect, but attaches no value to other human qualities such as emotions and ethical character." (MP)
Чепелева, Т. И.
The report outlines the main directions of innovation in the teaching of higher mathematics at the university. The basic technological approach is suggested when creating lecture presentations such as their color characteristics of fonts, the amount of information on a slide, etc., which is based on teaching experience and is suitable for development of other educational presentations.
Unlu, Melihan; Ertekin, Erhan; Dilmac, Bulent
The purpose of the research is to investigate the relationships betweenself-efficacy beliefs toward mathematics, mathematics anxiety and self-efficacybeliefs toward mathematics teaching, mathematics teaching anxiety variables andtesting the relationships between these variables with structural equationmodel. The sample of the research, which was conducted in accordance withrelational survey model, consists of 380 university students, who studied atthe department of Elementary Mathematics Educ...
This volume contains the proceedings of the 3rd Nordic Research Conference on Special Needs Education in Mathematics, which took place in Rebild organised by Aalborg University in November 23-25, 2005. The theme of the conference was Mathematics Education and Inclusion. The conference theme...
give a better and more correct idea of modern mathematics than whole volumes of the. Bourbaki ... The de-geometrisation of mathematical education and the divorce from physics sever these ties. ... is their traditional national trait. I do not ...
Unlu, Melihan; Ertekin, Erhan; Dilmac, Bulent
The purpose of the research is to investigate the relationships between self-efficacy beliefs toward mathematics, mathematics anxiety and self-efficacy beliefs toward mathematics teaching, mathematics teaching anxiety variables and testing the relationships between these variables with structural equation model. The sample of the research, which…
Snieder, Roel; Larner, Ken; Boyd, Tom
Graduate students traditionally learn the trade of research by working under the supervision of an advisor, much as in the medieval practice of apprenticeship. In practice, however, this model generally falls short in teaching students the broad professional skills needed to be a well-rounded researcher. While a large majority of graduate students considers professional training to be of great relevance, most graduate programs focus exclusively on disciplinary training as opposed to skills such as written and oral communication, conflict resolution, leadership, performing literature searches, teamwork, ethics, and client-interaction. Over the past decade, we have developed and taught the graduate course "The Art of Science", which addresses such topics; we summarize the topics covered in the course here. In order to coordinate development of professional training, the Center for Professional Education has been founded at the Colorado School of Mines. After giving an overview of the Center's program, we sketch the challenges and opportunities in offering professional education to graduate students. Offering professional education helps create better-prepared graduates. We owe it to our students to provide them with such preparation.
Puncreobutr, Vichian; Malee; Somjate
The objective of this research was to study the level of work integrated learning (WIL), and the competency of the teaching profession based on the standards of knowledge of the graduates at St. Theresa International College. The study group consisted of 115 graduates pursuing Graduate Diploma in Teaching Profession Program. The questionnaire was…
Mathematical modelling is becoming crucially important for earth sciences because the modelling of complex systems such as geological, geophysical and environmental processes requires mathematical analysis, numerical methods and computer programming. However, a substantial fraction of earth science undergraduates and graduates may not have sufficient skills in mathematical modelling, which is due to either limited mathematical training or lack of appropriate mathematical textbooks for self-study. In this paper, we described a detailed case-study-based approach for teaching mathematical modelling. We illustrate how essential mathematical skills can be developed for students with limited training in secondary mathematics so that they are confident in dealing with real-world mathematical modelling at university level. We have chosen various topics such as Airy isostasy, greenhouse effect, sedimentation and Stokes' flow,free-air and Bouguer gravity, Brownian motion, rain-drop dynamics, impact cratering, heat conduction and cooling of the lithosphere as case studies; and we use these step-by-step case studies to teach exponentials, logarithms, spherical geometry, basic calculus, complex numbers, Fourier transforms, ordinary differential equations, vectors and matrix algebra, partial differential equations, geostatistics and basic numeric methods. Implications for teaching university mathematics for earth scientists for tomorrow's classroom will also be discussed. Refereces 1) D. L. Turcotte and G. Schubert, Geodynamics, 2nd Edition, Cambridge University Press, (2002). 2) X. S. Yang, Introductory Mathematics for Earth Scientists, Dunedin Academic Press, (2009).
Lee, B. Brian; Lee, Jungsun
The authors examined an association between mathematical content in college-level curricula and beginning salaries of graduating students on the basis of data collected from a public university in the southern region of the United States. The authors classified the mathematical content requirements of the curricula into the following 5 groups…
Osmanoglu, Aslihan; Dincer, Emrah Oguzhan
The aim of this study was to investigate prospective secondary mathematics teachers' perceptions on and adaptation of student-centred approach to teaching. The study was conducted with 58 prospective secondary mathematics teachers who were the graduates from mathematics departments from different universities' Science and Literature faculties.…
Rogers, Kimberly Cervello; Steele, Michael D.
Graduate teaching assistants serve as instructors of record for numerous undergraduate courses every semester, including serving as teachers for mathematics content courses for elementary preservice teachers. In this study, we examine 6 teaching assistants' teaching practices in the context of a geometry content course for preservice teachers by…
Saxena, Ritu; Shrivastava, Keerty; Bhardwaj, Ramakant
Mathematics is not only a subject but it is also a language consisting of many different symbols and relations. Taught as a compulsory subject up the 10th class, students are then able to choose whether or not to study mathematics as a main subject. The present paper discusses mathematical modeling in mathematics education. The article provides…
Bates, Alan B.; Latham, Nancy; Kim, Jin-ah
This study examined preservice teachers' mathematics self-efficacy and mathematics teaching efficacy and compared them to their mathematical performance. Participants included 89 early childhood preservice teachers at a Midwestern university. Instruments included the Mathematics Self-Efficacy Scale (MSES), Mathematics Teaching Efficacy Beliefs…
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…
This paper analyzed a preservice mathematics teacher's beliefs about teaching mathematics with technology. The researcher used five semi-structured task-based interviews in the problematic contexts of teaching fraction multiplications with JavaBars, functions and limits, and geometric transformations with Geometer's Sketchpad, and statistical data…
Bourguignon, Jean Pierre
The manifold but discrete presence of mathematics in many objects or services imposes new constraints to the teaching of mathematics. If citizens need to be comfortable in various situations with a variety of mathematical tools, the learning of mathematics requires that one starts with simple concepts. This paper proposes some solutions to solve…
Johansen, Lene Østergaard
teachers. I distinguish analytically between three different discourses. The Political Discourse, The Curriculum Planner Discourse and The Mathematics Teachers Discourse. The discourses are analysed separately and I distinguish between explicit reasons and implicit reasons. In the thesis I construct...... a framework or a tool for my analysis of the three discourses, which consists of three elements. I identify the explicit reasons asking the question "Why teach mathematics to adults?" to the texts of each discourse. To identify the implicit reasons, I assume that it is necessary to construct a need...... in all areas of life increases considerably with good (functional/basic) numeracy skills. The analysis of the implicit reasons shows that the politicians construct a need for education through the way they talk about the demands of the labour market, the demands of the educational system, the demands...
This book enables teachers to effectively meet the needs of their most able mathematicians. Using a tried and tested set of principles developed and used by The Able Children's Education Unit at Brunel University, the author demonstrates how to: identify high mathematical ability in a pupil, plan suitably challenging activities and teach them most effectively within the existing National Numeracy framework, make the most of the classroom resources available, including ICT and external agencies, implement strategies for differentiation, illustrated with real-life classroom examples. Ac
This study examined the educational beliefs about teaching and learning of Chinese international and American-born graduate students in the disciplines of pure and applied sciences and mathematics at Auburn University by comparing their similarities and differences. The study reported (a) participants' demographic characteristics, (b) the dominant…
Anthony, Glenda; Hunter, Roberta
"Learning the Work of Ambitious Mathematics" project was developed to support prospective teachers learn the work of ambitious mathematics teaching. Building on the work of U.S. researchers in the "Learning in, from, and for Teaching Practice" project, we investigate new ways to make practice studyable within the university…
Stickles, Paula R.
Often secondary mathematics methods courses include classroom peer teaching, but many pre-service teachers find it challenging to teach their classmate peers as there are no discipline issues and little mathematical discourse as the "students" know the content. We will share a recent change in our methods course where pre-service…
Speer, Natasha M.; Smith, John P., III; Horvath, Aladar
Though written accounts of collegiate mathematics teaching exist (e.g., mathematicians' reflections and analyses of learning and teaching in innovative courses), research on collegiate teachers' actual classroom teaching practice is virtually non-existent. We advance this claim based on a thorough review of peer-reviewed journals where scholarship…
The Multiple Intelligences teaching approach has evolved and been embraced widely especially in the United States. The approach has been found to be very effective in changing situations for the better, in the teaching and learning of any subject especially mathematics. Multiple Intelligences teaching approach proposes ...
Papadakis, Stamatios; Kalogiannakis, Michail; Zaranis, Nicholas
The present study investigates and compares the influence of teaching Realistic Mathematics on the development of mathematical competence in kindergarten. The sample consisted of 231 Greek kindergarten students. For the implementation of the survey, we conducted an intervention, which included one experimental and one control group. Children in…
Full Text Available A not entirely unusual position among teachers is that they believe that they must first establish a peaceful classroom before they can begin to teach the subject. This research, shows how a proficient mathematics teacher teaches his subject and thereby creates a quiet and focused classroom and exerts effective leadership, just by teaching mathematics. The researchers observed a male mathematics teacher for almost half a year, i.e. one semester. The results of research present several patterns that the researchers saw during the observations of his teaching. The teacher showed an interest in each student’s mathematical thinking and expressed explicitly how students were expected to learn mathematics. He also directed students’ attention to mathematics and established a culture where all solutions were important in the teaching process. In the teaching process, he used multiple representations to motivate students and a lot of supportive expressions that made them feel that they were able to learn mathematics. He worked patiently to establish structures, and there was almost no disruptive behaviour. Students simply did not have time to interfere because they were so engaged in learning mathematics.
The purpose of this study was to examine Addis Ababa secondary school mathematics teachers’ attitude in teaching mathematics. 148 mathematics teachers were selected using cluster sampling from Addis Ababa administration region. The study used survey method of data collection and it includes both quantitative and qualitative research methods. From the independent t-test, ANOVA, tukey test and regression analysis, some of the results obtained were: the majority of the secondary school mathemati...
Full Text Available The range of information and communication technology in teaching mathematics is unlimited. Despite numerous researches about the opportunities and application of the ICT in teaching mathematics and in the world, however, many aspects remain unexplored. This research comes to knowledge that will be applicable to the educational practice. The findings will serve as motivation for more frequent use of the ICT in teaching mathematics from first to fifth grade as a mean for improving of the educational process. Through application of the ICT in the educational programs in teaching mathematics the technological improved practice is investigated and discussed and it helps overcoming of the challenges that arise when trying to integrate the ICT in the educational curricula in mathematics. The biggest challenge are the findings about the possibilities of the application of the ICT in the educational programs in math from first to fifth grade as well as their dissemination, all aimed to improving of teaching mathematics from the first to the fifth grade. The application of the most ICT in the educational programs of mathematics affects the training of the students for easier adoption of the mathematical concepts and the mathematical procedures and in the easier identification and resolving problem situations.
Crisan, Cosette; Rodd, Melissa
A non-specialist teacher of mathematics is a school teacher who qualified to teach in a subject other than mathematics yet teaches mathematics to students in secondary school. There is an emerging interest internationally in this population, a brief report of which is given in the paper. Because of concerns about the quality of non-specialists'…
Hall, Robert N., Ed.
The theme of this issue of "The ACA Bulletin" is the education of speech undergraduates and graduates for careers other than teaching. Included in this issue are such articles as "Employment of Speach Communication Graduates: A Rewiew of Problems and Prospects" by Robert Hall; "Employer Images of Speech Communication Majors: A Question of…
. One reason is that it is not clear what relation such creative and innovative skills have to mathematics, and how we should teach them. In this paper, I review different conceptions of creativity in mathematics education and investigate what mathematical innovation and creativity “are......Creativity and innovation are important 21st-century skills, and mathematics education contributes to the development of these skills. However, it is far from clear how we as mathematics educators should respond to the need to contribute to our students’ development of creativity and innovation......” in the mathematical classroom. I show how different conceptions of mathematical innovation and creativity dominate different parts of the mathematics education literature, and explain how these differences can be viewed as framing mathematical creativity toward different domains....
V. Ya. Gelman
Full Text Available Introduction.In programs of training of students of medical specialties, Mathematics is a subject of basic education, i.e. non-core discipline. However, studying Mathematics is extremely important for future physicians, as recently there has been an impetuous development of mathematization in the field of health care. Today, a set of the new medical devices, the equipment and high technologies are being developed based on the mathematical modeling, analysis and forecasting. Mathematical methods are widely applied to diagnostics, development of life-support systems and the description of various biological processes both at the molecular level, and at the level of a whole organism, its systems, bodies and tissues. The solution of many medical tasks in the field of taxonomy, genetics, and organization of medical service is impossible without knowledge of mathematics. Unfortunately, along with the evident importance of mathematical preparation for a medical profession, its need is poorly realized not only by junior students, but even by some teachers of specialized departments of medical schools.The aim of the publication is to discuss the problems that arise in the teaching of mathematical disciplines to students at a medical school and to suggest possible solutions to these problems.Methodology and research methods. The study is based on the use of modeling of the educational process. The methods of analysis, generalization and the method of expert assessments were applied in the course of the research.Results and scientific novelty. The aspects of mathematical preparation at the university are considered on the basis of the application of the multiplicative model of training quality. It is shown that the main students’ learning difficulties in Mathematics are connected with the following factors: the initial level of mathematical preparation of students and their motivation; outdated methods of Mathematics teaching and academic content
At the special conference celebrating the 50th anniversary of the Australian Association of Mathematics Teachers (AAMT), the author was asked to speak about the challenges and opportunities in teaching mathematics as a stimulus for discussion of AAMT's "future directions". With an open invitation to be a little provocative, the author…
Espada, Janet P.
The use of the native language as a medium of instruction is believed to be the fastest and most natural route towards developing a strong foundation in mathematics literacy (Mimaropa, In D.O.No. 74, s.2009). This study examined the effect of using the native language in the teaching of kindergarten mathematics. A total of 34 five to six year old…
Ansari, B. I.; Wahyu, N.
This study aims to examine students’ mathematical understanding and anxiety using collaborative teaching. The sample consists of 51 students in the 7th-grade of MTs N Jeureula, one of the Islamic public junior high schools in Jeureula, Aceh, Indonesia. A test of mathematics understanding was administered to the students twice during the period of two months. The result suggests that there is a significant increase in mathematical understanding in the pre-test and post-test. We categorized the students into the high, intermediate, and low level of prior mathematics knowledge. In the high-level prior knowledge, there is no difference of mathematical understanding between the experiment and control group. Meanwhile, in the intermediate and low level of prior knowledge, there is a significant difference of mathematical understanding between the experiment and control group. The mathematics anxiety is at an intermediate level in the experiment class and at a high level in the control group. There is no interaction between the learning model and the students’ prior knowledge towards the mathematical understanding, but there are interactions towards the mathematics anxiety. It indicates that the collaborative teaching model and the students’ prior knowledge do not simultaneously impacts on the mathematics understanding but the mathematics anxiety.
Harris, Dik; McEwen, Laura April
This article describes the design and implementation of a workshop on teaching and learning for graduate teaching assistants (GTAs) in a Faculty of Science at a major Canadian research-intensive university. The approach borrows heavily from an existing successful workshop for faculty but is tailored specifically to the needs of GTAs in science in…
Muhtadi, D.; Wahyudin; Kartasasmita, B. G.; Prahmana, R. C. I.
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.
King, Deborah; Varsavsky, Cristina; Belward, Shaun; Matthews, Kelly
The purpose of this study is to explore the perceptions mathematics students have of the knowledge and skills they develop throughout their programme of study. It addresses current concerns about the employability of mathematics graduates by contributing much needed insight into how degree programmes are developing broader learning outcomes for students majoring in mathematics. Specifically, the study asked students who were close to completing a mathematics major (n = 144) to indicate the extent to which opportunities to develop mathematical knowledge along with more transferable skills (communication to experts and non-experts, writing, working in teams and thinking ethically) were included and assessed in their major. Their perceptions were compared to the importance they assign to each of these outcomes, their own assessment of improvement during the programme and their confidence in applying these outcomes. Overall, the findings reveal a pattern of high levels of students' agreement that these outcomes are important, but evidence a startling gap when compared to students' perceptions of the extent to which many of these - communication, writing, teamwork and ethical thinking - are actually included and assessed in the curriculum, and their confidence in using such learning.
The purpose of this study was to investigate the relationship between pre-service primary school teachers' mathematics teaching anxiety and their self-efficacy beliefs toward mathematics teaching through path analysis. There were a total of 250 pre-service primary school teachers involved in this study. Of the total, 202 were female and 48 were…
Weyrich, Laura S; Harvill, Eric T
Limited time dedicated to each training areas, irrelevant case-studies, and ethics "checklists" have resulted in bare-bones Responsible Conduct of Research (RCR) training for present biomedical graduate student researchers. Here, we argue that science graduate students be taught classical ethical theory, such as virtue ethics, consequentialist theory, and deontological theory, to provide a basic framework to guide researchers through ethically complex situations and examine the applicability, implications, and societal ramifications of their research. Using a relevant biomedical research example to illustrate this point, we argue that proper ethics training for graduate student researchers not only will enhance current RCR training, but train more creative, responsible scientists.
Zuya, Habila Elisha; Kwalat, Simon Kevin; Attah, Bala Galle
Pre-service mathematics teachers' mathematics self-efficacy and mathematics teaching self-efficacy were investigated in this study. The purpose was to determine the confidence levels of their self-efficacy in mathematics and mathematics teaching. Also, the study was aimed at finding whether their mathematics self-efficacy and teaching…
Many science, technology, engineering, and mathematics (STEM) graduate students travel through the academic career pipeline without ever learning how to teach effectively, an oversight that negatively affects the quality of undergraduate science education and cheats trainees of valuable professional development. This article argues that all STEM graduate students and postdoctoral fellows should undergo training in teaching to strengthen their resumes, polish their oral presentation skills, and improve STEM teaching at the undergraduate level. Though this may seem like a large undertaking, the author outlines a three-step process that allows busy scientists to fit pedagogical training into their research schedules in order to make a significant investment both in their academic career and in the continuing improvement of science education. Copyright © 2011.
Stemn, Blidi S.
In some African cultures, the concept of division does not necessarily mean sharing money or an item equally. How an item is shared might depend on the ages of the individuals involved. This article describes the use of the Realistic Mathematics Education (RME) approach to teach division word problems involving money in a 3rd-grade class in…
At the authors' public liberal arts institution, biology masters students are required to enroll in BIOL 5050: Teaching Techniques. Course topics include designing effective lectures, assessment, classroom management, diversity in the classroom, and active learning strategies. The impact of this type of training on graduate students' attitudes and…
Systematic observations were made of the mathematical knowledge of physics students from the U.S. and other countries during their first years of graduate study at Ohio University. It was found that all were deficient in general and in ``modern'' mathematical concepts, and in problem-solving skills. Sizable fractions of them did not even possess adequate concepts of ``derivative,'' ``integration,'' and ``truth.'' Nearly all were limited to some familiarity with rather elementary calculus, and with equally elementary differential and linear equations, but they showed some ability and a pronounced willingness to perform manipulations. Roughly, they regarded mathematics as mechanical method, not as constructive thinking. In view of the significantly higher levels of mathematical fluency demanded by contemporary advances in physics and in computer usage, none of these students was adequately prepared for future-oriented study, or for research and employment in physics and related areas at the close of the 20th century. It is intended to discuss the likely causes of this state of affairs elsewhere with a view toward remedial actions.
Y. A. Perminov
Full Text Available The paper deals with the research findings concerning the process of mastering the theoretical basics of discrete mathematics by the students of vocational pedagogic profile. The methodological analysis is based on the subject and functions of the modern discrete mathematics and its role in mathematical modeling and computing. The modern discrete mathematics (i.e. mathematics of the finite type structures plays the important role in modernization of vocational training. It is especially rele- vant to training students for vocational pedagogic qualifications, as in the future they will be responsible for training the middle and the senior level specialists in engineer- ing and technical spheres. Nowadays in different industries, there arise the problems which require for their solving both continual – based on the classical mathematical methods – and discrete modeling. The teaching course of discrete mathematics for the future vocational teachers should be relevant to the target qualification and aimed at mastering the mathematical modeling, systems of computer mathematics and computer technologies. The author emphasizes the fundamental role of mastering the language of algebraic and serial structures, as well as the logical, algorithmic, combinatory schemes dominating in dis- crete mathematics. The guidelines for selecting the content of the course in discrete mathematics are specified. The theoretical findings of the research can be put into practice whilst developing curricula and working programs for bachelors and masters’ training.
Chio, José Angel
Full Text Available The article shows the cultural potentials of Mathematic for educating pupils. Reference is made to the mystic beliefs of Pythagoras that determined a conception of the world closely linked to the culture of
Chio, José Angel; López, Margarita; Sarduy, Delia
The article shows the cultural potentials of Mathematic for educating pupils. Reference is made to the mystic beliefs of Pythagoras that determined a conception of the world closely linked to the culture of
Smart, James R.
This article contains a sequence of topics from the mathematics of annuities presented in a way that can be used as a brief unit on business applications at the level of intermediate or college algebra. (Author/MK)
Schiller, Catharine J
To provide guidance to educators who use the Wilson (1963) concept analysis method, as modified by Walker and Avant (2011), in their graduate nursing curriculum BACKGROUND: While graduate nursing curricula often include a concept analysis assignment, there is a paucity of literature to assist educators in guiding students through this challenging process. This article details one way for educators to assist graduate nursing students in learning how to undertake each step of the Wilson (1963) concept analysis method, as modified by Walker and Avant (2011). Wilson (1963) concept analysis method, as modified by Walker and Avant (2011). Using examples, this article walks the reader through the Walker and Avant (2011) concept analysis process and addresses those issues commonly encountered by educators during this process. This article presented one way of walking students through a Walker and Avant (2011) concept analysis. Having clear information about the steps involved in developing a concept analysis will make it easier for educators to incorporate it into their graduate nursing curriculum and to effectively guide students on their journey through this process. © 2018 Wiley Periodicals, Inc.
Full Text Available The secondary-school mathematics curriculum is narrow in scope and technical in character; this is quite different from the nature of the discipline itself. As a result, it offers little inspiration to both students and teachers, and provides students with poor preparation for university mathematics courses and indeed for life. Over the past century, recently more than ever, there have been calls for change, for a curriculum that is true to the subject of mathematics as the creation and study of patterns and structures. While there are hopeful responses to this at the elementary level, there is almost nothing at the secondary level. Ironically, it is felt that in order to prepare students for university calculus, the secondary curriculum simply has to be what it is. This is a special case of a myth that needs to be destroyed.
Ryker, Katherine; McConnell, David
This study examines the implementation of teaching strategies by graduate teaching assistants (GTAs) in inquiry-based introductory geology labs at a large research university. We assess the degree of inquiry present in each Physical Geology lab and compare and contrast the instructional practices of new and experienced GTAs teaching these labs. We…
Justice, Nicola; Zieffler, Andrew; Garfield, Joan
Graduate teaching assistants (GTAs) are responsible for the instruction of many statistics courses offered at the university level, yet little is known about these students' preparation for teaching, their beliefs about how introductory statistics should be taught, or the pedagogical practices of the courses they teach. An online survey to examine…
Briley, Jason S.
Ninety-five elementary pre-service teachers enrolled in a mathematics content course for elementary school teachers completed 3 surveys to measure mathematics teaching efficacy, mathematics self-efficacy, and mathematical beliefs. The pre-service teachers who reported stronger beliefs in their capabilities to teach mathematics effectively were…
Yorulmaz, Alper; Altintas, Sedat; Sidekli, Sabri
The state of mathematical thinking is considered to have an effect on the formation of anxiety regarding teaching mathematics. It is hypothesized that with the formation of mathematical thinking, the anxiety in teachers regarding teaching mathematics will be reduced. Since mathematical thinking is a skill acquired starting from the early years of…
mathematics teaching as a practice and the way that teachers learn in such a practice. Conversations during interviews with the teachers in the sample indicate that SchoÈn\\'s notion of reflection-in-action is a key to understanding how teachers use their practical rationality as they try to understand nuanced meanings of the
According to Schilling, Blunk, and Hill, the set of papers presented in this journal issue had two main purposes: (1) to use an argument-based approach to evaluate the validity of the tests of mathematical knowledge for teaching (MKT), and (2) to critically assess the author's version of an argument-based approach to validation (Kane, 2001, 2004).…
Full Text Available In this article we explore approaches to curriculum in the primary school in order to map and manage the omissions implicit in the current unfolding of the Curriculum and Assessment Policy Statement for mathematics. The focus of school-based research has been on curriculum coverage and cognitive depth. To address the challenges of teaching mathematics from the perspective of the learner, we ask whether the learners engage with the subject in such a way that they build foundations for more advanced mathematics. We firstly discuss three approaches that inform the teaching of mathematics in the primary school and which may be taken singly or in conjunction into organising the curriculum: the topics approach, the process approach, and the conceptual fields approach. Each of the approaches is described and evaluated by presenting both their advantages and disadvantages. We then expand on the conceptual fields approach by means of an illustrative example. The planning of an instructional design integrates both a topics and a process approach into a conceptual fields approach. To address conceptual depth within this approach, we draw on five dimensions required for understanding a mathematical concept. In conclusion, we reflect on an approach to curriculum development that draws on the integrated theory of conceptual fields to support teachers and learners in the quest for improved teaching and learning.
White, Peter J. T.; Syncox, David; Heppleston, Audrey; Isaac, Siara; Alters, Brian
Teaching competence is an important skill for graduate students to acquire and is often considered a precursor to an academic career. In this study, we evaluated the effects of a multi-day teaching workshop on graduate teaching philosophies by surveying 200 graduate students, 79 of whom had taken the workshops and 121 who had not. We found no…
This paper tried to emphasize the importance of teaching mathematics with creativity in the Junior Secondary classes (JS1-3) of our education system. It was established that a mathematically creative environment like the mathematics laboratory will enhance the teaching and learning of mathematics in schools. In this study ...
Blomhøj, Morten; Kjeldsen, Tinne Hoff
are reported in manners suitable for internet publication for colleagues. The reports and the related discussions reveal interesting dilemmas concerning the teaching of mathematical modelling and how to cope with these through “setting the scene” for the students modelling projects and through dialogues......The paper presents and analyses experiences from developing and running an in-service course in project work and mathematical modelling for mathematics teachers in the Danish gymnasium, e.g. upper secondary level, grade 10-12. The course objective is to support the teachers to develop, try out...... in their own classes, evaluate and report a project based problem oriented course in mathematical modelling. The in-service course runs over one semester and includes three seminars of 3, 1 and 2 days. Experiences show that the course objectives in general are fulfilled and that the course projects...
de Assis, Aisllan Diego; da Silva, Priscila Patrícia; Claudino, Talita Xavier; de Oliveira, Alice Guimarães Bottaro
The centers of psychosocial care (CAPS, acronym in Portuguese) are strategic devices for mental health care currently available in Brazil. Nurses are professionals required to compose the minimum staff of this device, which values the group activities involving users. This study presents a report of the experience of nursing undergraduates from Universidade Federal do Mato Grosso (UFMT) on their conducting waiting-room group sessions with relatives of users of a CAPS from Cuiabá, Mato Grosso state. This experience is justified by the fact that nursing students have few opportunities to develop group approach abilities during their graduation course, which focuses mainly on clinical individual care. The aim of the experience was to provide theoretical-practical learning of all the work stages of group work: recognizing the need and possibility of conducting the activity, planning, coordination and group evaluation. The results confirm the need and possibility of performing group experiences in mental health care and in nursing education.
重松, 敬一; 井戸野, 佐知子; 勝美, 芳雄
Recently, there are many classes in which at least two teachers teach mathematics in elementary and lower secondary schools. We call that kind of teaching team-teaching. In some countries, it is called co-operative teaching. In this paper, we investigate the concept of team-teaching in mathematics education implementing a questionnaire, interviews or observing classroom lessons. Today, team-teaching has been administratively systematized. For example, additive teachers are sent to local schoo...
Full Text Available This research aims to produce mathematics textbook for grade VII junior high school students based on realistic mathematics and oriented to the mathematical reasoning and mathematical communication. The quality is determined based on Nieveen criteria, including validity, practicality, and effectiveness.This study was a research and development and used Borg & Gall model. The subject of this research were the students of SMPN 2 Pujon-Kabupaten Malang, that is 30 students in an experimental class (using the developed textbook and 29 students in a control class (using BSE book from the government. The teaching material was categorized valid if the expert's judgment at least is categorized as “good”. The teaching material was categorized practical if both of teachers and students assessment at least categorized as “good”. The teaching material was categorized effectively if minimum 75% of student scores at least is categorized as “good” for the mathematical reasoning test and mathematical communication test. This research resulted in a valid, practical, and effective teaching material. The resulted of the validation show that material teaching is valid. The resulted of teachers and students assessment show that the product is practical. The tests scores show that the product is effective. Percentage of students who categorized at least as “good” is 83,33% for the mathematical reasoning and 86,67% for the mathematical communication. The resulted of statistic test shows that the product more effective than the BSE book from the government in terms of mathematical reasoning and mathematical communication.
The present study examined the structure of elementary pre-service teachers' mathematics anxiety and mathematics teaching anxiety by asking whether the two systems of anxiety are related. The Turkish Mathematics Anxiety Rating Scale Short Version and the Mathematics Teaching Anxiety Scale were administered to 260 elementary pre-service teachers.…
Dayal, Hem Chand
Researchers suggest that teachers' beliefs about teaching are strongly influenced by their personal experiences with mathematics. This study aimed to explore Pacific Island pre-service secondary mathematics teachers' perceptions about good and bad mathematics teachers. Thirty pre-service teachers, enrolled in a mathematics teaching methods course…
Full Text Available The article begins with a brief overview of the situation throughout the world regarding problem solving. The activities of the ProMath group are then described, as the purpose of this international research group is to improve mathematics teaching in school. One mathematics teaching method that seems to be functioning in school is the use of open problems (i.e., problem fields. Next we discuss the objectives of the Finnish curriculum that are connected with problem solving. Some examples and research results are taken from a Finnish–Chilean research project that monitors the development of problem-solving skills in third grade pupils. Finally, some ideas on “teacher change” are put forward. It is not possible to change teachers, but only to provide hints for possible change routes: the teachers themselves should work out the ideas and their implementation.
Morris, Anne K.; Hiebert, James
We investigated whether the content pre-service teachers studied in elementary teacher preparation mathematics courses was related to their performance on a mathematics lesson planning task 2 and 3 years after graduation. The relevant mathematics knowledge was studied when the teachers were freshmen, 5 to 6 years earlier. Results showed that when…
Engagement and deeper learning were enhanced by developing several innovative teaching strategies delivered in Research Methods workshops to Graduate Business Students. Focusing primarily on students adopting a creative approach to formulating a valid research question for undertaking a dissertation successfully. These techniques are applicable to most subject domains to ensure student engagement. Addressing the various multiple intelligences and learning styles existing within groups while...
Many scholars have written about using the history of mathematics in the teaching of pre-service mathematics teachers. For this study, pre-service mathematics teachers developed an electronic journal of reflections based on presentations in the history of mathematics in a secondary mathematics education course. The main purpose of the…
The purpose of this study is to analyse the level of prospective classroom and mathematics teachers' anxieties about teaching mathematics. Freshman and junior prospective teachers from educational faculties of two different universities participated in this study. "Anxieties About Teaching Mathematics Scale" which was developed by Peker…
Jong, Cindy; Jackson, Christa
Teaching for social justice is a critical pedagogy used to empower students to be social agents in the world they live. This critical pedagogy has extended to mathematics education. Over the last decade, mathematics education researchers have conceptualized what it means to teach mathematics for social justice, but little is known about preservice…
Innovation in learning and teaching is an everyday requirement in contemporary higher education (HE), especially in challenging subjects such as mathematics. Teaching mathematics to students with limited experience of formal mathematical instruction is a good example of a demanding pedagogical undertaking where innovatory practice can help HE…
Elementary school mathematics has gained increased attention in the last few decades. A growing field of research has studied the programmatic design and development of elementary mathematics teaching in teacher education, however, few studies have examined longitudinally the mathematics teaching of novice elementary teachers. Existing longitudinal studies on elementary mathematics teaching have generally focused on the effects of teacher preparation on their beginning practices and have exam...
Cordner, Alissa; Klein, Peter T.; Baiocchi, Gianpaolo
This article describes an innovative collaboration between graduate students and a faculty member to co-design and co-teach a graduate-level workshop-style qualitative methods course. The goal of co-designing and co-teaching the course was to involve advanced graduate students in all aspects of designing a syllabus and leading class discussions in…
Bartholomew, Rex; Moeed, Azra; Anderson, Dayle
Initial teacher education (ITE) is being challenged internationally to prepare teachers with the understandings needed to teach an increasingly diverse student population. Science teachers need to prepare students with both conceptual and procedural understanding. The challenge is to prioritise a balance in ITE courses between theoretical…
We can consider two basic views, when using mathematical software in the teaching of mathematical subjects. First: How to learn to use specific software for the specific tasks, e. g., software Statistica for the subjects of Applied statistics, probability and mathematical statistics, or financial mathematics. Second: How to learn to use the…
Asikainen, Mervi A.; Pehkonen, Erkki; Hirvonen, Pekka E.
Seven Finnish mentor mathematics teachers were interviewed about their views regarding the teacher knowledge required for teaching mathematics. The results of the interviews revealed not only the teachers' spontaneous views of the knowledge base needed for effective mathematics teaching but also their views of the particular types of teacher…
Riccomini, Paul J.; Smith, Gregory W.; Hughes, Elizabeth M.; Fries, Karen M.
Vocabulary understanding is a major contributor to overall comprehension in many content areas, including mathematics. Effective methods for teaching vocabulary in all content areas are diverse and long standing. Teaching and learning the language of mathematics is vital for the development of mathematical proficiency. Students' mathematical…
The aim of the study is to investigate the relationship between the teaching approach adopted by mathematics teachers and their 9th grade students' mathematical self. The study searched for the answers on three research questions, namely, about 1) the approaches prevailing in mathematics teachers' beliefs about effective teaching and self-reports…
This unique book presents a personal and global approach to teaching mathematics at university level. It is impressively broad in its scope, and thought-provoking in its advice. The author writes with a love of his subject and the benefit of a long and varied career. He compares and contrasts various educational systems and philosophies. Furthermore, by constantly drawing on his own experiences and those of his colleagues, he offers useful suggestions on how teachers can respond to the problems they face. This book will interest educationalists, policy advisers, administrators, lecturers, and
Kateryna P. Osadcha
Full Text Available The paper describes the tutor activity in the process of mathematics teaching support on the basis of the use of information and communication technologies (ICT. The author has analysed the available Internet resources and mobile applications in mathematics, which are classified according to their functional purposes into groups: systems of mass open courses, platforms for adaptive learning, video channels, mathematical online simulators, online tasks, mathematical games, mathematical portals, online platforms, mathematical sites, mathematical online platforms, mathematical services, mobile applications in mathematics (simulators, games, generators of example, assistant programs, training complexes, calculators. In accordance with the student age categories mathematical information and communication technologies are divided into three groups: for elementary school students, secondary school students and high school students. The basic ICT tools for teaching mathematics are outlined. The algorithm for constructing tutorial classes with their application is presented.
Full Text Available Making real world connections in mathematics curricula and in teaching mathematics is generally viewed favorably within the educational community, however, little empirical research has examined how and why to use real world connections in mathematics education based on the views of experts. This study describes the feasibility of the use of real world connections according to high school mathematics teachers and academicians of mathematics education. Opinions of high school mathematics teachers (n=16 and academicians (n=8 about advantages, disadvantages, and examples of real world connections are elicited and reported. Teachers and academicians report several advantages of the use of real world connections in teaching mathematics as well as its disadvantages and limitations. Suggestions about dealing with limiting factors for using real world connections are also reported. Keywords: Mathematics curriculum, real world connections, mathematics teaching
Cameron, D A; Binnie, V I; Sherriff, A; Bissell, V
This study describes a pilot project in which peer assisted learning (PAL) is used to teach dental clinical skills. A cluster randomised controlled trial compared opinions of Bachelor of Dental Surgery (BDS) students from peer-led groups versus staff-led groups in a clinical (impression taking) and a pre-clinical (handpiece skills) task. BDS5 (peer tutors) in their final year delivered teaching to BDS1 (tutees) for each task. Quantitative data from tutees and the peer tutors was gathered from questionnaires, along with open written comments. PAL was well received by both tutees and peer tutors. BDS1 tutees rated BDS5 peer tutors highly for delivery of information, and level of feedback. The tutees considered peer tutors more approachable and less intimidating than staff. Peer tutors reported their own knowledge had increased as a result of teaching. In a summative OSCE (objective structured clinical examination) four months following the teaching, no statistical significant difference between the performance of peer-led and staff-led groups was found at stations related to the subject matter in question. It is argued that PAL, as well as being a useful method of delivering subject-specific teaching, is able to contribute to the development of graduate attributes.
Bessudnov, Alexey; Makarov, Alexey
Gender differences in mathematical performance have received considerable scrutiny in the fields of sociology, economics and psychology. We analyse a large data-set of high school graduates who took a standardised mathematical test in Russia in 2011 (n = 738,456) and find no substantial difference in mean test scores across boys and girls.…
King, Deborah; Varsavsky, Cristina; Belward, Shaun; Matthews, Kelly
The purpose of this study is to explore the perceptions mathematics students have of the knowledge and skills they develop throughout their programme of study. It addresses current concerns about the employability of mathematics graduates by contributing much needed insight into how degree programmes are developing broader learning outcomes for…
Sánchez, Mario; Blomhøj, Morten
This paper presents analyses of some examples of mathematical models used in the Mexican society of today. We seek to justify why and illustrate how such examples can be included in mathematics teaching and in teacher education.......This paper presents analyses of some examples of mathematical models used in the Mexican society of today. We seek to justify why and illustrate how such examples can be included in mathematics teaching and in teacher education....
Bartholomew, Rex; Anderson, Dayle; Moeed, Azra
There has been recent concern over the variable quality of science teaching in New Zealand primary schools. One reason suggested has been the relatively low levels of science education components in initial teacher education (ITE) programmes. This paper follows a cohort of recent teacher graduates from a science education course in their ITE…
Bozeman, Sylvia T.; Hughes, Rhonda J.
For over a decade, Spelman College and Bryn Mawr College have collaborated on initiatives designed to increase the presence of women, with a special focus on women of color, in the upper ranks of mathematical science. The most recent initiative is the EDGE Program (Enhancing Diversity in Graduate Education), which addresses this challenge by attempting to decrease the loss of talent from U.S. graduate programs. To this end, the program provides structures that help women make successful transitions from undergraduate into graduate mathematics programs, redirect or refocus their ambitions when programs are inappropriate or unsuitable, and, ultimately, enable them to "accumulate advantages" that will empower them and foster success in their careers. A broader goal of this program is to diversify the mathematics community by creating models for mathematics programs that allow people from all backgrounds and cultures to thrive, advance, and contribute to the profession.
Wasserman, Nicholas H.
This article explores the potential for aspects of abstract algebra to be influential for the teaching of school algebra (and early algebra). Using national standards for analysis, four primary areas common in school mathematics--and their progression across elementary, middle, and secondary mathematics--where teaching may be transformed by…
Lewis, Jennifer M.; Fischman, Davida; Riggs, Matt
This article presents a form of teacher reasoning that we call "proclivities for teaching mathematics." We define proclivities for teaching mathematics as the beliefs, knowledge, and dispositions that are actionable in the flow of instruction, and we argue that growth in this area contributes to positive change in mathematics…
Ryve, Andreas; Nilsson, Per; Mason, John
Teacher educators' processes of establishing "mathematics for teaching" in teacher education programs have been recognized as an important area for further research. In this study, we examine how two teacher educators establish and make explicit features of mathematics for teaching within classroom interactions. The study shows how the…
Tatar, Enver; Zengin, Yilmaz; Kagizmanli, Türkan Berrin
The aim of this study is to determine the relationship between pre-service teachers' perceptions regarding technology use in mathematics teaching and their computer literacy levels as well as their mathematics teaching anxiety. The nonexperimental correlational research, which is included in the quantitative research approach, was used in the…
Leong, Kwan Eu
This study explored the factors that influenced the understanding of good mathematics teaching. A mixed methodology was used investigate the beliefs of beginning secondary teachers on good mathematics teaching. The two research instruments used in this study were the survey questionnaire and an interview. Beginning teachers selected Immediate…
Sistla, Michelle; Feng, Jay
Teaching English Language Learners (ELL) academics while they are acquiring English language skills is a challenge for teachers. This action research examines the use of Response To Intervention (RTI) in teaching ELLs mathematical language and its effect on students' math achievement in primary grades. It shows that when mathematical language…
Linhart, Jean Marie
Writing and communication are essential skills for success in the workplace or in graduate school, yet writing and communication are often the last thing that instructors think about incorporating into a mathematics course. A mathematical modeling course provides a natural environment for writing assignments. This article is an analysis of the…
Karla Elizabeth Barrera-del Castillo
Full Text Available In this work is described the proposal of a model of semi-presence educational intervention for the subject, "Teaching of Mathematics in basic education", corresponding to the fourth semester of Special Education Bachelor's Degree, Plan 2004, of the Specializing Teaching School of the State of Sinaloa (ENEES, that attend the desirable characteristics of the graduates in the effective and efficient use of the technological tools, disciplinary competences, collaborative work and digital competences which are developed through the adaptation and the use of the model proposed. In this task, it is attended the digital literacy too, that the society of knowledge demands; firstly in function of the personal development needs, and then to respond to the actual educational context. The model of educational intervention defined in this task contributes to the interaction of teachers and students with technological background, collaborative work, groups of study, material and activities for each topic to develop. It was used the e-Collaborative Learning Sistema Integral Colaborativo para la Educación sin Barreras (SICEB implemented by the Secretary of Public Education and Culture (SEPyC, in which various types of learning objects are integrated among synchronized and unsynchronized activities. The proposed model is given through the defined criteria by the e-pedagogy which involves concepts such as quality, values and efficiency with support of the Learning Technologies and Knowledge (TAC.
Ackerman, S. A.; Crone, W.; Dunwoody, S. L.; Zenner, G.
One of the most important skills a student needs to develop during their graduate days is the skill of communicating their scientific work with a wide array of audiences. That facility will serve them across audiences, from scientific peers to students to neighbors and the general public. Increasingly, graduate students express a need for training in skills needed to manage diverse communicative environments. In response to that need we have created a course for graduate students in STEM-related fields which provides a structured framework and experiential learning about informal science education. This course seeks to familiarize students with concepts and processes important to communicating science successfully to a variety of audiences. A semester-long course, "Informal Science Education for Scientists: A Practicum," has been co-taught by a scientist/engineer and a social scientist/humanist over several years through the Delta Program in Research, Teaching, & Learning at the University of Wisconsin-Madison. The course is project based and understanding audience is stressed throughout the class. Through development and exhibition of the group project, students experience front end, formative and summative evaluation methods. The disciplines of the participating students is broad, but includes students in the geosciences each year. After a brief description of the course and its evolution, we will present assessment and evaluation results from seven different iterations of the course showing significant gains in how informed students felt about evaluation as a tool to determine the effectiveness of their science outreach activities. Significant gains were found in the graduate students' perceptions that they were better qualified to explain a research topic to a lay audience, and in the students' confidence in using and understanding evaluation techniques to determine the effectiveness of communication strategies. There were also increases in the students
Yazgan-Sag, Gönül; Emre-Akdogan, Elçin; Argün, Ziya
The aim of our study was to examine prospective secondary mathematics teachers' reflections about teaching after their first teaching experience. We carried out five interviews during the two semesters with four Turkish prospective secondary mathematics teachers. The data analysis suggests that prospective secondary mathematics teachers'…
The nature of mathematics teachers' knowledge specific to teaching mathematics [MTK] is of ongoing concern in mathematics education research. This article contributes to our under-standing of this knowledge with particular focus on reflective awareness. It discusses MTK based on ways it has been used in research. It highlights reflective awareness…
Matney, Gabriel; Jackson, Jack L., II.; Panarach, Yupadee
This article presents our work in translating the Mathematics Teaching Efficacy Beliefs Instrument (MTEBI) from English to Thai and our resulting investigation of validity with Thai preservice teachers. The translation process occurred over several meetings between two U.S. mathematics educators and one Thai mathematics educator. To check for…
Niu, Weihua; Zhou, Zheng; Zhou, Xinlin
Using Amabile's componential theory of creativity as a framework, this paper analyzes how Chinese mathematics teachers achieve creative teaching through acquiring in-depth domain-specific knowledge in mathematics, developing creativity-related skills, as well as stimulating student interest in learning mathematics, through well-crafted,…
This study measured pre-service teachers' mathematical knowledge for teaching (MKT) basic school mathematics. MKT multiple-choice test was administered to 100 pre-service teachers from two colleges of education (located at Mampong in the Ashanti Region of Ghana) to assess their mathematical knowledge for ...
This paper reports a qualitative research that identifies the characteristics of good mathematics teaching from the perspective of Mexican high school students. For this purpose, the social representations of a good mathematics teacher and a good mathematics class were identified in a group of 67 students. In order to obtain information, a…
D.Ed. The aim of this theses is to find out whether there is any relationship between learners' attitudes and learning difficulties in mathematics: To investigate whether learning difficulties in mathematics are associated with learners' gender. To establish the nature of teachers' perceptions of the learning problem areas in the mathematics curriculum. To find out about the teachers' views on the methods of teaching mathematics, resources, learning of mathematics, extra curricular activit...
Progress in mathematics frequently occurs first by studying particular examples and then by generalizing the patterns that have been observed into far-reaching theorems. Similarly, in teaching mathematics one often employs examples to motivate a general principle or to illustrate its use. This volume uses the same idea in the context of learning how to teach: By analyzing particular teaching situations, one can develop broadly applicable teaching skills useful for the professional mathematician. These teaching situations are the Case Studies of the title. Just as a good mathematician seeks bot
Judson, Thomas W.; Leingang, Matthew
Our investigation is concerned with new teachers developing their ability to understand student thinking. We conducted individual interviews with graduate students teaching calculus for the first time, interviewing a representative sample of graduate students before and after their first teaching assignment. The interviews were transcribed and…
Rots, Isabel; Aelterman, Antonia; Devos, Geert
In an era of recurring teacher shortages, Flanders struggles with a considerable proportion of teacher education graduates who do not enter the teaching profession. This study identifies the predictors of teacher education graduates' choice on job entry (teaching profession or not). A prospective research design with two data collection phases is…
Tularam, Gurudeo Anand
This paper addresses the importance of teaching mathematics in business and finance schools of tertiary institutions of Australia. The paper explores the nature of thinking and reasoning required for advancement financial or economic studies involves the use of higher order thinking and creativity skills (HOTS) for teaching in mathematics classes.…
Byrd, Patricia; Constantinides, Janet C.
Because of national concern about the effect of having basic college mathematics courses taught by so many international teaching assistants whose English skills may be limited, this paper reports on the use of language in teaching by regular college faculty, rather than teaching assistants, at Georgia State University. (eight references)…
teaching programs. This is partly due to the lack of a framework for integrating productive ideas across the disciplines. This paper focus on how to grasp the challenges of an interdisciplinary approach to teaching in mathematics and the subjects of natural science. Based on contemporary mathematics...... and science education we design a didactical framework for interdisciplinary teaching centered on modeling activities across mathematics and the disciplines of natural science. To exemplify the potential of the framework we present a case study of an intensive in-service teacher-training program...... for mathematics and biology teachers. The teachers were presented to the didactical framework and in pairs of two, one mathematics teacher and one biology teacher; they designed and implemented interdisciplinary mathematicsbiology teaching sequences. The teachers’ reports on their development and implementation...
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.
Aikpitanyi, Lucky Aiwuyor; Eraikhuemen, Lucy
The study investigated mathematics teachers' use of ethnomathematics approach to teaching. Descriptive survey research was used with a target population of all mathematics teacher in all public secondary schools in Oredo, Egor and Ikpoba-Okha local government areas of Edo State out of which 121 mathematics teachers in 42 randomly selected public…
Smith, Marvin E.; Swars, Susan L.; Smith, Stephanie Z.; Hart, Lynn C.; Haardorfer, Regine
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…
Muhanna, Wafa; Nejem, Khamis Mousa
This study aimed at investigating the attitudes of mathematics teachers toward using a smart board in teaching mathematics and also to determine the effect of gender, experience, and qualification of teachers on their attitudes. The sample of this study consisted of 74 mathematics teachers--35 males and 39 females--from private schools in Amman…
Abdullah, Mohd Faizal Nizam Lee; Vimalanandan, Lena
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.
Full Text Available Engagement and deeper learning were enhanced by developing several innovative teaching strategies delivered in Research Methods workshops to Graduate Business Students. Focusing primarily on students adopting a creative approach to formulating a valid research question for undertaking a dissertation successfully. These techniques are applicable to most subject domains to ensure student engagement. Addressing the various multiple intelligences and learning styles existing within groups while ensuring these sessions are student centred and conducive to a collaborative learning environment. Blogs, interactive tutorials, online videos, games and posters, are used to develop student’s cognitive and metacognitive abilities. Using novelty images appeals to a groups’ intellectual curiosity, acting as an interpretive device to explain the value of adopting a holistic rather than analytic approach towards a topic.
Caswell, T. E.; Goudge, T. A.; Jawin, E. R.; Robinson, F.
Since 2005, graduate students in the Brown University Department of Earth, Environmental, and Planetary Studies have volunteered to teach science to second-grade students at Vartan Gregorian Elementary School in Providence, RI. Initially developed to bring science into classrooms where it was not explicitly included in the curriculum, the graduate student-run program today incorporates the Providence Public Schools Grade 2 science curriculum into weekly, interactive sessions that engage the students in hypothesis-driven science. We will describe the program structure, its integration into the Providence Public Schools curriculum, and 3 example lessons relevant to geology. Lessons are structured to develop the students' ability to share and incorporate others' ideas through written and oral communication. The volunteers explain the basics of the topic and engage the students with introductory questions. The students use this knowledge to develop a hypothesis about the upcoming experiment, recording it in their "Science Notebooks." The students record their observations during the demonstration and discuss the results as a group. The process culminates in the students using their own words to summarize what they learned. Activities of particular interest to educators in geoscience are called "Volcanoes!", "The "Liquid Race," and "Phases of the Moon." The "Volcanoes!" lesson explores explosive vs. effusive volcanism using two simulated volcanoes: one explosive, using Mentos and Diet Coke, and one effusive, using vinegar and baking soda (in model volcanoes that the students construct in teams). In "Liquid Race," which explores viscosity and can be integrated into the "Volcanoes!" lesson, the students connect viscosity to flow speed by racing liquids down a ramp. "Phases of the Moon" teaches the students why the Moon has phases, using ball and stick models, and the terminology of the lunar phases using cream-filled cookies (e.g., Oreos). These lessons, among many others
Lucélida de Fátima Maia da Costa
Full Text Available To teach and to learn mathematics are not always conjugated concomitantly, particularly in the context of formal indigenous schools. This article puts in discussion some facts about the role of schools in indigenous communities, often mistakenly called Indian schools, as well as questions about the meaning of teaching mathematics in those contexts. Based on the concepts of ethnomathematics, it shows that a dialogue is possible between the traditional mathematical knowledge of various ethnic groups of the Amazon and the knowledge disseminated by formal school teaching practice.
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.
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.
Gatlin, Todd Adam
Graduate teaching assistants (GTAs) play a prominent role in chemistry laboratory instruction at research based universities. They teach almost all undergraduate chemistry laboratory courses. However, their role in laboratory instruction has often been overlooked in educational research. Interest in chemistry GTAs has been placed on training and their perceived expectations, but less attention has been paid to their experiences or their potential benefits from teaching. This work was designed to investigate GTAs' experiences in and benefits from laboratory instructional environments. This dissertation includes three related studies on GTAs' experiences teaching in general chemistry laboratories. Qualitative methods were used for each study. First, phenomenological analysis was used to explore GTAs' experiences in an expository laboratory program. Post-teaching interviews were the primary data source. GTAs experiences were described in three dimensions: doing, knowing, and transferring. Gains available to GTAs revolved around general teaching skills. However, no gains specifically related to scientific development were found in this laboratory format. Case-study methods were used to explore and illustrate ways GTAs develop a GTA self-image---the way they see themselves as instructors. Two general chemistry laboratory programs that represent two very different instructional frameworks were chosen for the context of this study. The first program used a cooperative project-based approach. The second program used weekly, verification-type activities. End of the semester interviews were collected and served as the primary data source. A follow-up case study of a new cohort of GTAs in the cooperative problem-based laboratory was undertaken to investigate changes in GTAs' self-images over the course of one semester. Pre-semester and post-semester interviews served as the primary data source. Findings suggest that GTAs' construction of their self-image is shaped through the
Bayazit, Nermin; Clarke, Pier Angeli Junor; Vidakovic, Draga
The authors report on three students' argumentative knowledge construction in an asynchronous online graduate level geometry course designed for in-service secondary mathematics (ISM) teachers. Using Weinberger and Fischer's framework, they analyzed the ISM teachers' (a) geometry autobiography and (b) discussion board posts (both comments and…
Full Text Available The experimental design was conducted to investigate the use of Microsoft Mathematics, free software made by Microsoft Corporation, in teaching and learning Calculus. This paper reports results from experimental study details on implementation of Microsoft Mathematics in Calculus, students’ achievement and the effects of the use of Microsoft Mathematics on students’ attitudes in relation to such experience. Two classes of the students from the first year student in Universitas Serang Raya were participated in the study. This study found that students who taught by using Microsoft Mathematics had higher achievement and has a positive effect on students’ confidence of mathematics.
Reeves, Todd D.; Marbach-Ad, Gili; Miller, Kristen R.; Ridgway, Judith; Gardner, Grant E.; Schussler, Elisabeth E.; Wischusen, E. William
Biology graduate teaching assistants (GTAs) are significant contributors to the educational mission of universities, particularly in introductory courses, yet there is a lack of empirical data on how to best prepare them for their teaching roles. This essay proposes a conceptual framework for biology GTA teaching professional development (TPD)…
Lin, Kequan; Sokolova, Anna Nikolaevna; Vlasova, Vera K.
The study is relevant due to the opportunity of increasing efficiency of teaching mathematics at university through integration of students of computer experiment conducted with the use of IT in this process. The problem of there search is defined by a contradiction between great potential opportunities of mathematics experiment for motivating and…
Yahaya, Mohamad Fadhili Bin; Noor, Mohd Asri Bin Mohd; Mokhtar, Ahmad Azman Bin; Rawian, Rafizah Binti Mohd; Othman, Mahmod Bin; Jusoff, Kamaruzaman
The policy to change the medium of instruction in the teaching of Mathematics and Science from Bahasa Melayu (Malay Language) to English in 2003 is an important innovation affecting not only the students but also teachers of Mathematics and Science. However, how far the changes affect the teachers is the issue addressed in the paper. In fact the…
Alves, Francisco Regis Vieira
We find several applications of the Dynamic System Geogebra--DSG related predominantly to the basic mathematical concepts at the context of the learning and teaching in Brasil. However, all these works were developed in the basic level of Mathematics. On the other hand, we discuss and explore, with DSG's help, some applications of the polynomial's…
Oktaviyanthi, Rina; Supriani, Yani
The experimental design was conducted to investigate the use of Microsoft Mathematics, free software made by Microsoft Corporation, in teaching and learning Calculus. This paper reports results from experimental study details on implementation of Microsoft Mathematics in Calculus, students' achievement and the effects of the use of Microsoft…
Inservice teachers, participants in a prior study on mathematics anxiety, were revisited to determine whether their levels of mathematics anxiety still existed and/or continued to change after 5 years teaching experience. A 98-item Likert-type survey, informal discussions, informal interviews, and questionnaire-guided narrative interviews were…
Averill, Robin; Harvey, Roger
Here is the only reference book you will ever need for teaching primary school mathematics and statistics. It is full of exciting and engaging snapshots of excellent classroom practice relevant to "The New Zealand Curriculum" and national mathematics standards. There are many fascinating examples of investigative learning experiences,…
CDM, for computational discrete mathematics, is a course that attempts to teach a number of topics in discrete mathematics to computer science majors. The course abandons the classical definition-theorem-proof model, and instead relies heavily on computation as a source of motivation and also for experimentation and illustration. The emphasis on…
An, Song A.; Tillman, Daniel; Shaheen, Andrea; Boren, Rachel
This study examined preservice teachers' perceptions about teaching elementary level mathematics lessons integrated with music. It also sought to determine how preservice teachers would strategize the integration of music activities when introducing elementary level mathematics lessons. The participants, 53 undergraduate preservice teachers at a…
Rubel, Laurie H.; Lim, Vivian Y.; Hall-Wieckert, Maren; Sullivan, Mathew
This article explores integrating place-based education with critical mathematics toward teaching mathematics for spatial justice. "Local Lotto," a curricular module with associated digital tools, was designed to investigate the lottery as a critical spatial phenomenon and piloted in urban high schools. This article describes findings…
Alderton, Julie; Gifford, Sue
This article draws on Foucault's concepts of power and discourse to explore the issues of teaching mathematics to low attainers in primary schools in England. We analyse a data set of interviews, from a larger study, with the mathematics teachers of one child across three years, showing how accountability practices, discourses of ability and…
Oktaviyanthi, Rina; Supriani, Yani
The experimental design was conducted to investigate the use of Microsoft Mathematics, free software made by Microsoft Corporation, in teaching and learning Calculus. This paper reports results from experimental study details on implementation of Microsoft Mathematics in Calculus, students' achievement and the effects of the use of Microsoft…
Kensington-Miller, Barbara; Sneddon, Jamie; Yoon, Caroline; Stewart, Sepideh
Many lecturers use teacher-centred styles of teaching in large undergraduate mathematics classes, often believing in the effectiveness of such pedagogy. Changing these beliefs about how mathematics should be taught is not a simple process and many academic staff are reluctant to change their ways of lecturing due to tradition and ease. This study…
Zhanys Aray Boshanqyzy; Nurkasymova Saule Nurkasymovna
The possibilities of computer technologies in improving the quality of teaching mathematics and its application in the 7th grade students studied the impact on the development of mathematical thinking. Teachers and pupils kanşalıktı methodology to apply this technology meñgergendikteri tested and determined to improve the methods of teaching mathematics in the scientific literature of the main ideas, 7th grade, based on the best practices in the teaching of mathematics and taking into account...
Hennig, Markus; Mertsching, Bärbel; Hilkenmeier, Frederic
The initial phase of undergraduate engineering degree programmes often comprises courses requiring mathematical expertise which in some cases clearly exceeds school mathematics, but will be imparted only later in mathematics courses. In this article, an approach addressing this challenge by way of example within a "fundamentals of electrical…
Many students read for pleasure, but how many, stranded in an expansive library, would willingly reach for a mathematics textbook? One reason this scenario is so inconceivable is that mathematics textbooks are organized less as exercises in storytelling and more as how-to manuals. Unfortunately many mathematics teachers instruct accordingly. This…
Teaching approaches and assessment practices are key factors that contribute to the improvement of learner outcomes. The study on which this article is based, explored the methods used by KwaZulu-Natal (KZN) teachers in teaching and assessing mathematics and statistics. An instrument containing closed and ...
The purpose of this study was to share the author's experience of using the virtual classroom when teaching online mathematics course. Various softwares including MyMathLab and Wimba are introduced and the teaching methods and tips are provided and analyzed. Results show that the use of the virtual classroom enhance the communication in the online…
Bakker, Arthur; Smit, Jantien; Wegerif, Rupert
This article has two purposes: firstly to introduce this special issue on scaffolding and dialogic teaching in mathematics education and secondly to review the recent literature on these topics as well as the articles in this special issue. First we define and characterise scaffolding and dialogic teaching and provide a brief historical overview…
Barnett, Janet Heine; Lodder, Jerry; Pengelley, David
Why would anyone think of teaching and learning mathematics directly from primary historical sources? We aim to answer this question while sharing our own experiences, and those of our students across several decades. We will first describe the evolution of our motivation for teaching with primary sources, and our current view of the advantages…
Ng, Lay Keow; Dindyal, Jaguthsing
As part of a study examining how teachers in Singapore select and use examples for teaching mathematics, 121 teachers from 24 secondary schools responded to three open-ended questions about the use of examples in teaching. The results show that students' abilities and the difficulty level of the examples were among the topmost considerations…
Botana, F.; Abánades, M. A.; Escribano Martínez, Jesús
We present the experience of the authors teaching mathematics to freshmen engineering students with the help of the open source computer algebra system Sage. We describe some teaching resources and present an ad hoc distribution of Sage used by the authors.
Full Text Available The article is devoted to consideration of issues related to identifying the potential for teaching mathematics using network (Internet technology and the introduction of elements of distance learning into educational process of higher educational establishments of the sea profile, as well as achievement of formation of mathematical competence of students of the University generally, and of the University's Maritime profile, in particular. Based on the analysis of psychological and pedagogical literature highlights the factors that influence the increase of efficiency of independent work of students of higher educational institutions and on the formation of steady skills of self-education that ultimately leads to quality of formation of mathematical competence of a student. Specific features of teaching mathematics at the University of the sea profile. The description of the project (complex sites "KSMA. Higher mathematics navigators", who developed and used in the Kherson state Maritime Academy in the teaching of mathematics and the organization of individual techniques of distance learning, shows the simplicity and accessibility of working with complex sites, as well as the simplicity and accessibility of design "personal website", but in fact complex sites, by a teacher of any discipline of higher education. Shown, also a training process with the use of the project "KSMA. Higher mathematics navigators", analyzes the experience of teaching the course "Higher mathematics" in a higher educational institution of the marine profile with the use of a personal website, a teacher and shown positive results in students mastery of basic mathematical competencies.
Marshman, Emily; Sayer, Ryan; Henderson, Charles; Singh, Chandralekha
At large research universities, physics graduate teaching assistants (TAs) are often responsible for grading in courses at all levels. However, few studies have focused on TAs' grading practices in introductory and advanced physics courses. This study was designed to investigate whether physics graduate TAs grade students in introductory physics…
Fauzan, Ahmad; Slettenhaar, Dick; Plomp, T.
This paper presents a case study about employing Realistic Mathematics Education (RME)-approach to teach mathematics in Indonesian primary schools. Many obstacles, such as the very dependent attitude of the pupils, the pupils who were not used to working in groups, lack of reasoning capability and
Parmin; Savitri, E. N.; Amalia, A. V.; Pratama, M. R.
This study aims to measure the performance of graduates in implementing conservation-based science teaching. The study employed a qualitative method by collecting the self-assessment data from alumni and the performance assessment from the headmasters of schools where the graduates are currently teaching. There are nine indicators of conservation insight examined in this study. The study concluded that the 78 alumni, who have become teachers when the study was conducted, perform well in implementing conservative science lessons.
Ottmar, Erin R.; Rimm-Kaufman, Sara E.; Larsen, Ross A.; Berry, Robert Q.
This study investigates the effectiveness of the Responsive Classroom (RC) approach, a social and emotional learning intervention, on changing the relations between mathematics teacher and classroom inputs (mathematical knowledge for teaching [MKT] and standards-based mathematics teaching practices) and student mathematics achievement. Work was…
Full Text Available This article starts with an careful analysis of the factors that cause Chinese mathematics graduate’s heavy pressure in job hunting and career development, followed by a detailed introduction of American mathematics graduates’ positive employment potential and their benign career development prospect. Finally the author puts forward that mathematics majors should plan their curriculum study in relation to their future career development, with the help of systematic, professional career development consultancy and guidance. Suggestions on how to improve mathematics majors employment competitiveness are also provided in this article.
Sweller, John; Clark, Richard; Kirschner, Paul A.
Sweller, J., Clark, R., & Kirschner, P. A. (2010). Teaching general problem-solving skills is not a substitute for, or a viable addition to, teaching mathematics. Notices of the American Mathematical Society, 57, 1303-1304.
Gouws, E.; Dicker, A-M.
To meet the demands of our highly technological and globally competitive society, it is becoming increasingly important for all learners in South Africa to obtain skills and knowledge in mathematics. However, South Africa performed the worst of all the countries who participated in the Trends in International Mathematics and Science Study (TIMMS).…
Boggan, Matthew; Harper, Sallie; Whitmire, Anna
The purpose of this paper is to explain the importance and benefits of math manipulatives. For decades, the National Council of Teachers of Mathematics has encouraged school districts nationwide to use manipulatives in mathematical instruction. The value of manipulatives has been recognized for many years, but some teachers are reluctant to use…
Full Text Available Introduction: the article imparts authors’ thoughtson a new teaching methodology for mathematical education in universities. The aim of the study is to substantiate the efficiency of the comprehensive usage of mathematical electronic courses, computer tests, original textbooks and methodologies when teaching mathematics to future agrarian engineers. The authors consider this implementation a unified educational process. Materials and Methods: the synthesis of international and domestic pedagogical experience of teaching students in university and the following methods of empirical research were used: pedagogical experiment, pedagogical measurementsand experimental teaching of mathematics. The authors applied the methodology of revealing interdisciplinary links on the continuum of mathematical problems using the key examples and exercises. Results: the online course “Mathematics” was designed and developed on the platform of Learning Management System Moodle. The article presents the results of test assignments assessing students’ intellectual abilities and analysis of solutions of various types of mathematical problems by students. The pedagogical experiment substantiated the integrated selection of textbooks, online course and online tests using the methodology of determination of the key examples and exercises. Discussion and Conclusions: the analysis of the experimental work suggested that the new methodology is able to have positive effect on the learning process. The learning programme determined the problem points for each student. The findings of this study have a number of important implications for future educational practice.
Jenni L. Harding-DeKam
Full Text Available Elementary classroom teachers in eight school districts across Colorado, United States, share the knowledge of their students’ home and community life, define culturally responsive mathematics based on the children they instruct, and give examples of how students learn math through culture in their classrooms. Findings from two interviews, classroom observations, and student artifacts reveal that teachers have an intimate cultural knowledge of the students in their classrooms, define culturally responsive mathematical practices consistent with research, use culturally responsive mathematics teaching for authentic learning, and express a need for additional professional development and curriculum support for culturally responsive mathematics instruction. Culturally responsive mathematics is important in elementary classrooms because it allows students to make personal connections to mathematics content.
Triantafyllou, Evangelia; Timcenko, Olga
Over the past years, a number of engineering programs have arisen that transcend the division between technical, scientific and art-related disciplines. Media Technology at Aalborg University, Denmark is such an engineering program. In relation to mathematics education, this new development has...... changed the way mathematics is applied in practice and is taught in these disciplines. This paper discusses a doctoral dissertation that investigated and assessed interventions to increase student motivation and engagement in mathematics among Media Technology students. The results of this dissertation...
Aspenlieder, Erin; Kloet, Marie Vander
What we hear at universities and in public conversations is that there is a crisis in graduate student education and employment. We are interested here in the (re)circulation of the discourses of crisis and responsibility. What do graduate students hear about their education, their career prospects, and their responsibilities? How does work in…
Full Text Available This thesis elaborates on the role and importance of homework in the initial stages of teaching mathematics. The aim is to determine and analyze the degree of burden on students with homework. The following tasks were performed as a starting point for this research: determining the degree of correlation between the time that student spends on weekly homework and the student’s homework amount determinedby the pedagogical norm, determining the level of parents’ participation in helping students with homework, etermining the degree of correlation of differentiation of homework with the students' motivation for doing homework. Homework plays an important role in the initial stages of teaching mathematics, and takes up a significant place in the process of studying and teaching mathematics. The results, analysis, and conclusions are presented upon research.
Veloo, Palanisamy Kathir; Puteh, Marzita
Teachers need various types of knowledge in order to deliver various fraction concepts at elementary level. In this paper, Balls' framework (2008) or, Mathematical Knowledge for Teaching (MKT) is used as benchmark guideline. This paper investigates and explores component of MKT knowledge among eight experienced teachers of the primary school. Data was collected using paper pencil test, interview and video recording. This paper, narrowed to teacher's knowledge and their practices while teaching of various fractions concepts using diagrammatical approach in present of MKT. The data gathered from teachers were analyzed using thematic analysis techniques. The results indicated that teachers lack various components of MKT knowledge as a proposal by various researchers and assumed that teaching as procedural more than enough due to lack of deep understanding of mathematics and the various types of MKT is not required due to the present of practices in the mathematics classroom.
Lampley, Sandra A.; Gardner, Grant E.; Barlow, Angela T.
Graduate teaching assistants (GTAs) are responsible for teaching the majority of biology undergraduate laboratory sections, although many feel underprepared to do so. This study explored the impact of biology GTA participation in a professional development model known as lesson study. Using a case study methodology with multiple qualitative data…
Linenberger, Kimberly; Slade, Michael C.; Addis, Elizabeth A.; Elliott, Emily R.; Mynhardt, Glené; Raker, Jeffrey R.
As part of a Howard Hughes Program for Innovation in Science Education grant at Iowa State University, a series of interdisciplinary graduate teaching assistant learning communities (TALC) were developed. The purpose of these communities was to create an environment to facilitate teaching assistants' pedagogical development and training to enhance…
Zhu, Wenzhong; Wu, Si; Guo, Tingting
GDUFS, as one of China's top three foreign language universities with the longest history in business English teaching, has accumulated over 20-year experiences in this discipline. This research reflects into its business English teaching practices based on its graduates' employment status in recent years, and concludes that the students of…
Osmani, Mohamad; Hindi, Nitham M.; Weerakkody, Vishanth
It is widely acknowledged that traditional teaching methods such as lectures, textbooks and case study techniques on their own are not adequate to improving the most in-demand employability skills for graduates. The aim of this article is to explore the potential impact that novel learning and teaching methods can have on improving the…
Full Text Available First-year engineering students of the Faculty of Engineering and Built Environment, UKM are in the process of transition in the way they learn mathematics from pre-university level to the undergraduate level. It is essential for good engineers to have the ability to unfold mathematical problems in an efficient way. Thus, this research is done to investigate students preference in learning KKKQ1123 Engineering Mathematics I (Vector Calculus (VC course; either individually or in a team; using modern (e-learning or traditional (cooperative-learning teaching strategy. Questionnaires are given to the first year Chemical and Process Engineering students from academic year 2015/2016 and the results were analysed. Based on the finding, the students believed that the physical educators or teachers play an important role and that they have slightest preference in the traditional teaching strategy to learn engineering mathematics course.
"Amongst Mathematicians" offers a unique perspective on the ways in which mathematicians perceive their students' learning, the way they teach and reflect on those teaching practices. Elena Nardi employs fictional characters to create a conversation on these important issues. While personas are created, the facts incorporated into their stories are based on large bodies of data including intense focus groups comprised of mathematicians and mathematics education.This book further develops analyses of the data and demonstrates the pedagogical potential that lies in collaborative research that engages educators, researchers, and students in undergraduate mathematics education. Nardi also addresses the need for action in undergraduate mathematics education by creating discourse for reform and demonstrating the feasibility and potential of collaboration between mathematicians and researchers. "Amongst Mathematicians" is of interest to the entire mathematics community including teacher educators, undergraduate and ...
Schmidt, Karsten; Köhler, Anke
The Matrix Algebra portion of the intermediate mathematics course at the Schmalkalden University Faculty of Business and Economics has been moved from a traditional classroom setting to a technology-based setting in the PC lab. A Computer Algebra System license was acquired that also allows its use on the students' own PCs. A survey was carried out to analyse the students' attitudes towards the use of technology in mathematics teaching.
Henry Maia Peixoto
Full Text Available The objective of this study was to investigate the reactions of undergraduate and graduate students to the teaching procedures used in semipresential classes. This exploratory study was performed with a quantitative approach at a public university, with undergraduate and graduate students who had completed semipresential classes on health promotion education. Among the 19 evaluated teaching procedures, 15 (78.9% did not show any statistically significant differences between the two academic levels. The means and medians for most variables, for both undergraduate (78.9% and graduate (89.5% students, were above 7 in a scale ranging between 0 (awful and 10 (excellent. Therefore, it is concluded that both groups showed similar reactions to the teaching procedures and gave satisfactory opinions in this regard. Understanding these aspects can support designing class disciplines that use teaching procedures that are adequate to university students. Descriptors: Education, Distance; Education, Higher; Learning; Educational Measurement.
Panagiotou, Evangelos N.
Many authors have discussed the question why we should use the history of mathematics to mathematics education. For example, Fauvel (For Learn Math, 11(2): 3-6, 1991) mentions at least fifteen arguments for applying the history of mathematics in teaching and learning mathematics. Knowing how to introduce history into mathematics lessons is a more difficult step. We found, however, that only a limited number of articles contain instructions on how to use the material, as opposed to numerous general articles suggesting the use of the history of mathematics as a didactical tool. The present article focuses on converting the history of logarithms into material appropriate for teaching students of 11th grade, without any knowledge of calculus. History uncovers that logarithms were invented prior of the exponential function and shows that the logarithms are not an arbitrary product, as is the case when we leap straight in the definition given in all modern textbooks, but they are a response to a problem. We describe step by step the historical evolution of the concept, in a way appropriate for use in class, until the definition of the logarithm as area under the hyperbola. Next, we present the formal development of the theory and define the exponential function. The teaching sequence has been successfully undertaken in two high school classrooms.
The purpose of this study is to examine a neural network based approach to predict achievement in graduate education for Elementary Mathematics prospective teachers. With the help of this study, it can be possible to make an effective prediction regarding the students' achievement in graduate education with Artificial Neural Networks (ANN). Two…
Ambarini, Ririn; Setyaji, Arso; Suneki, Sri
Language and Mathematics are both skills and knowledge that need to master well so that it can be the provision for students' future life when mingling with the community or society. Because of that the integration of teaching both language and Mathematics in bilingual Math learning will give many benefits to the students. They will learn not only…
Visit of Professor Shigehiko Hasumi. President of Tokyo University, Japan, Professor Kazuo Okamoto, Head of Graduate School of Mathematical Sciences, Professor Toshiteru Matsuura, Head of Graduate School of Arts and Sciences
Visit of Professor Shigehiko Hasumi. President of Tokyo University, Japan, Professor Kazuo Okamoto, Head of Graduate School of Mathematical Sciences, Professor Toshiteru Matsuura, Head of Graduate School of Arts and Sciences
The roles of games in teaching and learning of mathematics in junior secondary schools. ... The research seeks to enhance the status of games in teaching mathematics in junior secondary schools curriculum ... AJOL African Journals Online.
Ronald Keijzer; Marjolein Kool
The implementation of the new mathematical knowledge base in Dutch teacher education institutes for primary education raises a need for curriculum development. Teacher educators have to raise student teachers’ subject matter knowledge to a higher level. In working on this aim teacher educators
McCoy, Leah P.
This article presents three mathematics lessons in a social justice setting of learning about poverty. Student activities include budgeting, graphic data representation, and linear regression, all in the context of connecting, communicating, and reasoning about poverty. (Contains 1 table, 5 figures and 6 online resources.)
Savas Basturk; Tastepe, Mehtap
The purpose of the study was to examine primary pre-service teachers' difficulties of the teaching of mathematics with micro-teaching method. The participants of the study were 15 third grade pre-service teachers from the department of primary education in the faculty of education. In this grade which includes four sections, there were…
Barnett, Janet Heine; Bezhanishvili, Guram; Lodder, Jerry; Pengelley, David
We describe teaching an introductory discrete mathematics course entirely from student projects based on primary historical sources. We present case studies of four projects that cover the content of a one-semester course, and mention various other courses that we have taught with primary source projects.
Huang, Rongjin; Prince, Kyle M.; Barlow, Angela T.
This study examined how a ninth grade teacher improved an Algebra I lesson through a lesson study approach. We used multiple data sources to investigate the improvement of the lesson towards student-centered mathematics instruction, perceived benefits of the teacher, and factors associated with the improvement of teaching. The lesson group…
Hemmi, Kirsti; Ryve, Andreas
This article explores effective mathematics teaching as constructed in Finnish and Swedish teacher educators' discourses. Based on interview data from teacher educators as well as data from feedback discussions between teacher educators and prospective teachers in Sweden and Finland, the analysis shows that several aspects of the recent…
During the past decade three different bridging mathematics courses have been offered at the University of Auckland. A case study approach was used to investigate the effectiveness of these courses: two larger courses and one individual study programme. A different teaching approach, by committed experienced teachers, was used in each course. The…
The study has sought answers to two major questions: What is the current situation in Elementary Mathematics Education programs at Faculty of Education in terms of classroom teaching competencies? To what extent do pre service teachers acquire these competencies? The research was conducted on 202 senior pre service teachers studying at the…
Simonson, Shai; Holm, Tara S.
We present a card trick that can be used to review or teach a variety of topics in discrete mathematics. We address many subjects, including permutations, combinations, functions, graphs, depth first search, the pigeonhole principle, greedy algorithms, and concepts from number theory. Moreover, the trick motivates the use of computers in…
Feurzeig, Wallace; Papert, Seymour A.
Formal mathematical methods remain, for most high school students, mysterious, artificial and not a part of their regular intuitive thinking. The authors develop some themes that could lead to a radically new approach. According to this thesis, the teaching of programming languages as a regular part of academic progress can contribute effectively…
Rubel, Laurie H.; Hall-Wieckert, Maren; Lim, Vivian Y.
In this reflective essay, Laurie H. Rubel, Maren Hall-Wieckert, and Vivian Y. Lim present a design heuristic for teaching mathematics for spatial justice (TMSpJ) based on their development of two curricular modules, one about the state lottery and the other about financial services in a city. Spatial tools, including data visualizations on maps…
Miller, L. Diane
Describes a professional development program to train math/science specialists for the upper elementary school grades. Using results from an interest survey, 30 teachers were chosen to participate in a 3-year program to become math/science specialists. Presents the teaching model used and the advantages for teachers and students in having subject…
Graduate education in the classroom traditionally focuses on disciplinary topics, with non-disciplinary skills only marginally discussed, if at all, between graduate student and adviser. Given the wide range of advisers with different types and quality of communication skill (or lack thereof), the professional coaching delivered to students often is restricted to just the technical aspects of research. Yet graduate students have a great need to receive professional training aimed at, among other things, helping their graduate career be more efficient, less frustrating and less needlessly time-consuming. We have addressed this gap in graduate education by developing the one-credit course ``The Art of Being a Scientist.'' This course covers a diverse range of topics of importance to being an effective and creative researcher. Topics covered include the following: What is science? Choosing a research topic, department, and adviser. The adviser and thesis committee. Making a work plan. Setting goals. Ethics of research. Using the scientific literature. Perfecting oral and written communication. Publishing papers and writing proposals. Managing time effectively. Planning a scientific career. Applying for jobs in academia or industry. In evaluations of the course, students invariably comment that they could have avoided significant problems in their graduate study and saved valuable time if they would have taken the course earlier on. This is an indication that the course not only useful for students, but also that it is best taken early in a their graduate career. The material covered in the course is captured in the book ``The Art of Being a Scientist: A Guide for Graduate Students and Their Mentors,'' published by Cambridge University Press; more information can be found at: www.mines.edu/~rsnieder/Art_of_Science.html From this website one can download a description of the curriculum used in the class, including homework exercises. Currently we are expanding of
Nur’aeni, E.; Muharram, M. R. W.
The fact that the low ability of geometrical understanding of primary school students is what triggers this study to be conducted. Thus, this research aimed to find out how to create a didactical design of students' mathematical understanding, particularly on one of geometry materials that is unit of length. A qualitative approach promoting Didactical Design Research (DDR) was administered in this study. Participants of the study were primary school students in Tasikmalaya, an city in West Java Province, Indonesia. The results show that there was a learning design based on learning obstacles found in the mathematics teaching and learning processes. The learning obstacles comprised students' difficulties in memorizing, relating, and operating the standards of unit of lengths. It has been proven that the most influential factor in the success of mathematics teaching and learning processes is the use of creative media.
Handayanto, A.; Supandi, S.; Ariyanto, L.
The aim of this study is to determine the effect of Learning Modeling System (LMS) Moodle in learning. The population is taken from all students of Mathematics Education, University of PGRI Semarang. The sample was randomly selected from five different course groups. The initial score is taken from the semester test, and the final score is taken through the semester test after the five groups are taught using Moodle. The results of both test results are compared to find out the increase in learning outcomes. Meanwhile, the student's attitude toward learning is taken through his mathematical disposition through questionnaire. The results show that there was a significant increase in exam results on the final exam of the semester. This result is supported by student learning interest which increases on average after using LMS Moodle taken from disposition data.
Technology in highereducation is dramatically changing and continuously giving a challenging timefor educators and institutions to provide the same level of innovativecontents, environment and interaction to a digital native generation which iswell powered with technology. It has been well observed and recognized thatvideo lectures technology can have positive impacts on student learning andsatisfaction however research on Mathematics intensive subjects have yet to befully explored. This expl...
This book contains 70 ready-to-use mathematics lessons suitable for students aged 14-16. Some lessons offer alternative routes through the curriculum, such as practising indices by solving radical equations, while others concentrate on difficult ideas, like appreciating that not all mathematical relationships are linear. Each plan consists of a teacher's sheet, providing: ? the aims and objectives of the lesson ? a lesson starter, main phase, plenary and homework ideas, each with suggested timeframes ? guidance on how to adapt the activities to cater for students working at different levels; a
Hart, Eric W.; And Others
Discrete mathematics are defined briefly. A course in discrete mathematics for high school students and teaching discrete mathematics in grades 7 and 8 including finite differences, recursion, and graph theory are discussed. (CW)
Tasdan, Berna Tataroglu; Koyunkaya, Melike Yigit
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)…
Ngware, Moses W.; Ciera, James; Musyoka, Peter K.; Oketch, Moses
This paper examines the contribution of quality mathematics teaching to student achievement gains. Quality of mathematics teaching is assessed through teacher demonstration of the five strands of mathematical proficiency, the level of cognitive task demands, and teacher mathematical knowledge. Data is based on 1907 grade 6 students who sat for the…
Sawyer, Amanda Gantt
I investigated a reform based teachers' beliefs about the nature of mathematics, teaching mathematics, and learning mathematics, and the factors leading to their formation. I interviewed and observed a reform-based elementary mathematics teacher with 13 years' experience teaching first grade. She held a Platonist/problem solver view of…
McLoughlin, M. Padraig M. M.
The author of this paper submits the thesis that learning requires doing; only through inquiry is learning achieved, and hence this paper proposes a programme of use of a modified Moore method in a Probability and Mathematical Statistics (PAMS) course sequence to teach students PAMS. Furthermore, the author of this paper opines that set theory…
Sugiman, Apino, Ezi
Generally, teachers use oral communication for teaching mathematics. Taking an opposite perspective, this paper describes how instructional practices for mathematics can be carried out namely a silent method. Silent method uses body language, written, and oral communication for classroom interaction. This research uses a design research approach consisting of four phases: preliminary, prototyping and developing the instruction, and assessment. There are four stages of silent method. The first stage is conditioning stage in which the teacher introduces the method and makes agreement about the `rule of the game'. It is followed by the second one, elaborating stage, where students guess and explore alternative answers. The third stage is developing mathematical thinking by structuring and symbolizing. Finally, the method is ended by reinforcing stage which aims at strengthening and reflecting student's understanding. In this paper, every stage is described on the basis of practical experiences in a real mathematics classroom setting.
Fuson, Karen C.
This article provides an overview of some perspectives about special issues in classroom mathematical teaching and learning that have stemmed from the huge explosion of research in children's mathematical thinking stimulated by Piaget. It concentrates on issues that are particularly important for less-advanced learners and for those who might be…
Artzt, Alice F.; Armour-Thomas, Eleanor
Uses a "teaching as problem solving" perspective to examine the components of metacognition underlying the instructional practice of seven experienced and seven beginning secondary-school mathematics teachers. Data analysis of observations, lesson plans, videotapes, and audiotapes of structured interviews suggests that the metacognition of…
Pospiech, G; Geyer, M.A.; Eylon, B.; Bagno, E.; Lehavi, Y.
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.
Pospiech, Gesche; Eylon, BatSheva; Bagno, Esther; Lehavi, Yaron; Geyer, Marie-Annette
-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.
Hanson, Jana M.; Paulsen, Michael B.; Pascarella, Ernest T.
This study examined the effects of good teaching practices on post-baccalaureate degree aspirations using logistic regression techniques on a multi-institutional, longitudinal sample of students at 4-year colleges and universities in the USA. We examined whether eight good teaching practices (non-classroom interactions with faculty, prompt…
Hermens, Antoine; Clarke, Elizabeth
Purpose: The purpose of this paper is to explore the role of computer based business simulations in higher education as innovative tools of teaching and learning to enhance students' practical understanding of real business problems. Whether the integration of business simulation technologies will enable significant innovation in teaching and…
This research aims to produce mathematics textbook for grade VII junior high school students based on realistic mathematics and oriented to the mathematical reasoning and mathematical communication. The quality is determined based on Nieveen criteria, including validity, practicality, and effectiveness.This study was a research and development and used Borg & Gall model. The subject of this research were the students of SMPN 2 Pujon-Kabupaten Malang, that is 30 students in an experimental cla...
Maria Margarida Graça
Full Text Available This work describes an exploratory study, the first of the four phases of a more inclusive research, which aims at understanding the way to promote, in a Mathematics teachers’ group, a representational evolution leading to a practice that allows a Mathematical meaningful learning of Mathematics. The methodology of this study is qualitative. Data gathering was based on questioning; all the subjects of the sample (n=48 carried out a projective task (a hierarchical evocation test and answered a written individual questionnaire. Data analysis was based in a set of categories previously defined. The main purpose of this research was to identify, to characterize and to describe the representations of Mathematics, their teaching and learning, in a group of 48 subjects, from different social groups, in order to get indicators for the construction of the instruments to be used in to the next phases of the research. The main results of this study are the following: (1 we were able to identify and characterize different representations of the teaching and learning of Mathematics, in what respects its epistemological, pedagogical, emotional and sociocultural dimensions; (2 we were also able to identify limitations, difficulties and items to be included or rephrased in the instruments used.
Full Text Available This paper is based on my reflections on a deceptively simple tabular representation of a combined 12×12 multiplication table showing multiplier and multiplicand,starting at a time when I taught mathematics full time at a primary (elementary school through to my presentteaching of mathematics education modules to prospective teachers. A historically–motivated framework on the importance of tables as expressions of complex information in two–dimensional form is used to gain insight into and understand multiplication tables. Through this framework it is shown that the modal practice of “knowing one’s tables” in the primary grade levels is really about knowing sequenced and separated lists of whole number multiplications. In contrast, tabular multiplication sequences in a combined multiplication table can, through appropriate teaching practices, enable the discovery of multiple relationships beyond multiplication or arithmetic, resulting in significant mathematics that spans the grade levels. Implications for mathematics teacher education practice with its current focus mathematical knowledge for teaching, are considered.
Hoessler, Carolyn; Godden, Lorraine
Graduate students teach within the complex higher education environment of financial constraint, greater student diversity, and growing graduate enrolment (e.g., Austin, 2003). Teaching roles offer financial support and skill development while multiplying responsibilities (Price, 2008). Across the national working papers and institutional reports,…
Graduate teaching assistants (GTAs) are responsible for instructing approximately 25% of introductory statistics courses in the United States (Blair, Kirkman, & Maxwell, 2013). Most research on GTA professional development focuses on structured activities (e.g., courses, workshops) that have been developed to improve GTAs' pedagogy and content knowledge. Few studies take into account the social contexts of GTAs' professional development. However, GTAs perceive their social interactions with other GTAs to be a vital part of their preparation and support for teaching (e.g., Staton & Darling, 1989). Communities of practice (CoPs) are one way to bring together the study of the social contexts and structured activities of GTA professional development. CoPs are defined as groups of practitioners who deepen their knowledge and expertise by interacting with each other on an ongoing basis (e.g., Lave & Wenger, 1991). Graduate students may participate in CoPs related to teaching in many ways, including attending courses or workshops, participating in weekly meetings, engaging in informal discussions about teaching, or participating in e-mail conversations related to teaching tasks. This study explored the relationship between statistics graduate students' experiences in CoPs and the extent to which they hold student-centered teaching beliefs. A framework for characterizing GTAs' experiences in CoPs was described and a theoretical model relating these characteristics to GTAs' beliefs was developed. To gather data to test the model, the Graduate Students' Experiences Teaching Statistics (GETS) Inventory was created. Items were written to collect information about GTAs' current teaching beliefs, teaching beliefs before entering their degree programs, characteristics of GTAs' experiences in CoPs, and demographic information. Using an online program, the GETS Inventory was administered to N =218 statistics graduate students representing 37 institutions in 24 different U.S. states
Conclusion: Clinical advisers for nursing specialty graduate students in our survey were generally inexperienced with regarding to training and culturing nursing graduate students. These advisers were prepared for core teaching competency, but were not qualified to conduct scientific research. Based on these results, it would be beneficial to provide the clinical advisers more training on teaching cognition for graduate students and improve their competency to perform scientific research.
Flaherty, A.; O'Dwyer, A.; Mannix-McNamara, P.; Leahy, J. J.
Graduate students who fulfill teaching roles in the undergraduate laboratory play an important role in establishing a positive learning environment. A host of various graduate teacher training programmes have been developed, implemented and evaluated accordingly in order to enhance their teaching capability. In addition research has also…
Lim, Chap Sam
The mathematical performance of Chinese students, from mainland China, Hong Kong and Taiwan, is widely acclaimed in international comparisons of mathematics achievement. However, in the eyes of the Western educators, the environments established in Chinese schools are deemed relatively unfavourable for mathematics learning. This paper reports on a study that investigates the characteristics of effective mathematics teaching in five Shanghai schools. Findings reveal that those characteristics include (a) teaching with variation; (b) emphasis of precise and elegant mathematical language; (c) emphasis of logical reasoning, mathematical thinking and proofing during teaching; (d) order and serious classroom discipline; (e) strong and coherence teacher-student rapport, and (f) strong collaborative culture amongst mathematics teachers.
This book is the result of a joint venture between Professor Akio Kawauchi, Osaka City University, well-known for his research in knot theory, and the Osaka study group of mathematics education, founded by Professor Hirokazu Okamori and now chaired by his successor Professor Tomoko Yanagimoto, Osaka Kyoiku University. The seven chapters address the teaching and learning of knot theory from several perspectives. Readers will find an extremely clear and concise introduction to the fundamentals of knot theory, an overview of curricular developments in Japan, and in particular a series of teaching
Stripling, Christopher T.; Roberts, T. Grady
The purpose of this study was to determine the effects of incorporating mathematics teaching and integration strategies (MTIS) in a teaching methods course on preservice agricultural teachers' mathematics ability. The research design was quasi-experimental and utilized a nonequivalent control group. The MTIS treatment had a positive effect on the…
The National Council of Teachers of Mathematics (NCTM, 2000) has created a set of standards to reform mathematics teaching procedures to ensure that all students understand mathematics and learn to think mathematically. The standards also require teachers to use strategies that allow all students to reason and communicate mathematically and…
Deehan, James; Danaia, Lena; McKinnon, David H.
The science achievement of primary students, both in Australia and abroad, has been the subject of intensive research in recent decades. Consequently, much research has been conducted to investigate primary science education. Within this literature, there is a striking juxtaposition between tertiary science teaching preparation programs and the experiences and outcomes of both teachers and students alike. Whilst many tertiary science teaching programs covary with positive outcomes for preservice teachers, reports of science at the primary school level continue to be problematic. This paper begins to explore this apparent contradiction by investigating the science teaching efficacy beliefs and experiences of a cohort of graduate primary teachers who had recently transitioned from preservice to inservice status. An opportunity sample of 82 primary teachers responded to the science teaching efficacy belief instrument A (STEBI-A), and 10 graduate teachers provided semi-structured interview data. The results showed that participants' prior science teaching efficacy belief growth, which occurred during their tertiary science education, had remained durable after they had completed their teaching degrees and began their careers. Qualitative data showed that their undergraduate science education had had a positive influence on their science teaching experiences. The participants' school science culture, however, had mixed influences on their science teaching. The findings presented within this paper have implications for the direction of research in primary science education, the design and assessment of preservice primary science curriculum subjects and the role of school contexts in the development of primary science teachers.
Ghiabi, Edmond; Taylor, K Lynn
This project aimed at documenting the surgical training curricula offered by North American graduate periodontics programs. A survey consisting of questions on teaching methods employed and the content of the surgical training program was mailed to directors of all fifty-eight graduate periodontics programs in Canada and the United States. The chi-square test was used to assess whether the residents' clinical experience was significantly (Pperiodontal plastic procedures, hard tissue grafts, and implants. Furthermore, residents in programs offering a structured preclinical component performed significantly more procedures (P=0.012) using lasers than those in programs not offering a structured preclinical program. Devising new and innovative teaching methods is a clear avenue for future development in North American graduate periodontics programs.
DiMaria-Ghalili, Rose Ann; Ostrow, C Lynne
This article describes the authors' experiences during 3 years of using Microsoft Excel to teach graduate-level statistics, as part of the research core required by the American Association of Colleges of Nursing for all professional graduate nursing programs. The advantages to using this program instead of specialized statistical programs are ease of accessibility, increased transferability of skills, and reduced cost for students. The authors share their insight about realistic goals for teaching statistics to master's-level students and the resources that are available to faculty to help them to learn and use Excel in their courses. Several online sites that are excellent resources for both faculty and students are discussed. Detailed attention is given to an online course (Carnegie-Mellon University Open Learning Initiative, n.d.), which the authors have incorporated into their graduate-level research methods course.
Mansfield, Caroline; Wosnitza, Marold; Beltman, Susan
Teacher motivation is an important field of research, especially in countries where teacher retention and quality have become prominent concerns. This paper presents a conceptual framework for understanding the stage appropriate "goals for teaching" of graduating teacher education students. Generated from empirical data and grounded in…
Femi, Sunday Akinwumi; Yemisi, Etomi Edwin
This study investigated effective teaching with the aid of ICT in Nigerian higher education institutions as a proposed solution to graduates' unemployability. The survey method was utilized for this study. Respondents were randomly selected from students and teachers of selected higher institutions in Nigeria. The findings reveal that, even though…
Hodgson, Yvonne; Varsavsky, Cristina; Matthews, Kelly E.
This study reports on science student perceptions of their skills (scientific knowledge, oral communication, scientific writing, quantitative skills, teamwork and ethical thinking) as they approach graduation. The focus is on which teaching activities and assessment tasks over the whole programme of study students thought utilised each of the six…
Vik, Gretchen N.
One interesting aspect of teaching students to use PowerPoint and similar graphics packages effectively is that graduate students who are already in the workforce often have bad presentation habits that they need to break. In this article, the author discusses ways of breaking these bad habits. Using storyboards is one way to keep students from…
Lander, Dorothy A.
Presents a theoretical framework for teaching and learning research literacies. Describes a classroom demonstration involving graduate student cohorts in appreciative inquiry into practitioners' ways of writing. Addresses the issues of human subjects, informed consent, and the ethics of representation. (Contains 49 references.) (SK)
Selvianiresa, D.; Prabawanto, S.
The Contextual Teaching and Learning (CTL) approach is an approach involving active students in the learning process to discover the concepts learned through to knowledge and experience of the students. Similar to Piaget’s opinion that learning gives students an actives trying to do new things by relating their experiences and building their own minds. When students to connecting mathematics with real life, then students can looking between a conceptual to be learned with a concept that has been studied. So that, students can developing of mathematical connection ability. This research is quasi experiment with a primary school in the city of Kuningan. The result showed that CTL learning can be successful, when learning used a collaborative interaction with students, a high level of activity in the lesson, a connection to real-world contexts, and an integration of science content with other content and skill areas. Therefore, CTL learning can be applied by techer to mathematics learning in primary schools.
Bodden, Krystin R.
Minorities and women continue to be underrepresented in science, technology, engineering, and mathematics (STEM) fields. In graduate education, factors such as racism, prejudice, discrimination, sexism, stereotypes, tokenism, and a lack of role models can all plague students and contribute to uncompleted degrees and non-entrance into STEM fields. One of the tools being used to combat these barriers is effective mentoring. Graduate students and their advisors generally have close working relat...
Stripling, Christopher T.; Roberts, T. Grady
The purpose of this exploratory study was to investigate the relationships between mathematics ability, personal mathematics efficacy, mathematics teaching efficacy, personal teaching efficacy, and background characteristics of preservice agricultural education teachers. Data were collected for two years at the University of Florida. Fourteen…
Alkhateeb, Haitham M; Abed, Adnan S
This study was designed to assess the mathematics teaching efficacy beliefs of undergraduates in elementary education through a manipulative-based course in mathematics. Responses of 106 university undergraduates to the 21-item Mathematics Teaching Efficacy Beliefs administered as pre- and posttest without a control group showed a significant immediate postcourse change in their efficacy beliefs using dependent t test.
Adler, Jill; Ronda, Erlina
We describe and use an analytical framework to document mathematics discourse in instruction (MDI), and interpret differences in mathematics teaching. MDI is characterised by four interacting components in the teaching of a mathematics lesson: exemplification (occurring through a sequence of examples and related tasks), explanatory talk (talk that…
Hjalmarson, Margret A.
This article uses a self-study research methodology to explore teaching an online course for mathematics specialists. The course included weekly videoconferencing sessions and focused on supporting their development as mathematics coaches working with K-8 teachers to enhance mathematics teaching and learning. The central question for the…
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…
Henry, B W; Haworth, J G; Hering, P
How medical students learn and develop the characteristics associated with good teaching in medicine is not well known. Information about this process can improve the academic preparation of medical students for teaching responsibilities. The purpose of this study was to determine how different experiences contributed to the knowledge, skills, and attitudes of medical school graduates and students regarding medical teaching. A questionnaire was developed, addressing reliability and validity considerations, and given to first year residents and third year medical students (taught by those residents). Completed questionnaires were collected from 76 residents and 110 students (81% of the sample group). Item responses were analysed using descriptive and inferential statistics. Most residents (n = 54; 71%) positively viewed opportunities they had to practice teaching when they were seniors. Residents rated three activities for learning to teach highest: (1) observing teachers as they teach; (2) reviewing the material to be taught; and (3) directly teaching students; representing both individual and participatory ways of learning. Residents' self ratings of teaching behaviours improved over time and this self assessment by the residents was validated by the students' responses. Comparison between residents' self ratings and students' views of typical resident teaching behaviours showed agreement on levels of competence, confidence, and motivation. The students rated characteristics of enthusiasm, organisation, and fulfilment lower (pteaching responsibilities positively and showed agreement on characteristics of good teaching that may be helpful indicators in the process of developing medical teachers.
Full Text Available In this article, we present a discussion about the type of mathematical discourse that is being produced in classrooms where the language of learning and teaching is local languages. We also further explore the tensions in the mathematical discourse being produced. The study sample was 4 mathematics teachers from a semi-urban primary school in Malawi. The methods of data collection included classroom observations, pre-observation focus group discussions and reflective interviews. The results show that even though both students and teachers were able to communicate freely in local languages in the mathematics classroom, the mathematical discourse that came was distorted. This is mainly caused by lack of a well-developed mathematical discourse in local languages, which in turn takes away the confidence of mathematics teachers in the classroom. As a result, the mathematics classrooms are still being characterized by teachers not being creative, use of word by word from books, focus more on procedural than conceptual and thus teacher centered is still dominant in these classrooms. Furthermore, it is found that there are tensions between the formal and informal mathematical language in local languages. These results in turn have promoted a more in-depth understanding to the teaching and learning of mathematics when local language is the language of learning and teaching. Therefore, this article argues for a well-balanced approach when it comes to teaching and learning of mathematics rather than just focusing on the use of local languages.
As part of the Third International Mathematics and Science Study (TIMSS), a representative sample of Year 9 classrooms in Japan and the United States were video-taped. Analysis of this data is enabling comparisons to be made of the teaching methods typically employed in these two countries. Findings suggest that while the typical US lesson emphasised skill acquisition, the typical Japanese lesson focused on the solving of complex problems through pupil exploration and presentation.
Swars, Susan Lee
This mixed methods study examined the mathematical preparation of elementary teachers in a Teach for America (TFA) program, focal participants for whom there is scant extant research. Data collection occurred before and after a university mathematics methods course, with a particular focus on the participants' (n = 22) mathematical beliefs,…
Teacher education can provide opportunities for contributing towards a re-envisaging of the teaching and learning of mathematics in the primary classroom. This study documents the experiences of one student teacher who, during her mathematics education courses, embraced a perception of mathematics as a social, creative and experiential discipline.…
Charalambous, Charalambos Y.
Central in the frameworks proposed to capture the knowledge needed for teaching mathematics is the assumption that teachers need more than pure subject-matter knowledge. Validation studies exploring this assumption by recruiting contrasting populations are relatively scarce. Drawing on a sample of 644 Greek-Cypriots preservice and inservice…
Edgar Oliver Cardoso-Espinosa; Eduardo Antonio Vanegas-López; María Trinidad Cerecedo-Mercado
The objective of this research was to determine the student’s attitudes towards Mathematics at the beginning of their graduate studies in Business Administration. The study used an exploratory, non-experimental, cross-sectional design. The instrument used was a questionnaire based on willingness, confidence, utility, motivation and anxiety with Likert questions. The study concluded that students have a negative attitude towards Mathematics; it is considered as a useful but difficult disciplin...
Viholainen, Antti; Asikainen, Mervi; Hirvonen, Pekka E.
This article examines Finnish mathematics student teachers' epistemological beliefs concerning the nature of mathematics and the goals of mathematics teaching and learning solely in the beginning of their studies at university. A total of 18 students participated in a study consisting of a short questionnaire and interviews. The data was analyzed…
Roden, Julie A; Jakob, Susanne; Roehrig, Casey; Brenner, Tamara J
In the past ten years, increasing evidence has demonstrated that scientific teaching and active learning improve student retention and learning gains in the sciences. Graduate teaching assistants (GTAs), who play an important role in undergraduate education at many universities, require training in these methods to encourage implementation, long-term adoption, and advocacy. Here, we describe the design and evaluation of a two-day training workshop for first-year GTAs in the life sciences. This workshop combines instruction in current research and theory supporting teaching science through active learning as well as opportunities for participants to practice teaching and receive feedback from peers and mentors. Postworkshop assessments indicated that GTA participants' knowledge of key topics increased during the workshop. In follow-up evaluations, participants reported that the workshop helped them prepare for teaching. This workshop design can easily be adapted to a wide range of science disciplines. Overall, the workshop prepares graduate students to engage, include, and support undergraduates from a variety of backgrounds when teaching in the sciences. © 2018 by The International Union of Biochemistry and Molecular Biology, 2018. © 2018 The International Union of Biochemistry and Molecular Biology.
A challenge of teacher education is to produce graduate primary school teachers who are confident and competent teachers of mathematics. Various approaches to primary school teacher education in mathematics have been investigated, but primary teacher education graduates still tend to be diffident in their teaching of mathematics. In an age where…
Dayal, Hem Chand
In recent times, there has been considerable interest shown in the affective domain of mathematics education with research findings pointing out that affective variables have profound impact on classroom practices of mathematics teachers. In other words, teachers' conceptions of mathematics and mathematics teaching are greatly influenced by…
Rasche, Alexander N.
This study investigated the tutoring practices of mathematics tutors working in one university tutoring center and the corresponding rationale exhibited by the mathematics tutors. This study illustrates how the tutoring practices of mathematics tutors align with the Eight Mathematics Teaching Practices outlined in NCTM's recent publication…
Lloyd, Mary Elizabeth Riley; Veal, William; Howell, Malia
This article describes the normative beliefs and the discursive claims related to mathematics and teaching mathematics made by approximately 50 middle-level and secondary mathematics teachers within four high-need local education associations participating in a Mathematics and Science Partnership with a southeastern college's Science and Math for…
The research seeks to enhance the status of games in teaching mathematics in ... that the use of games and activities can make the mathematics enjoyable. ... motivation, understanding and suppression of anxiety are some of the reasons ...
Pruekpramool, Chaninan; Kanyaprasith, Kamonwan; Phonphok, Nason; Diem, Huynh Thi Thuy
An internship program between Vietnamese student teachers from Cantho University and Thai graduate students from Srinakharinwirot University has occurred in June 2016. There were six Vietnamese student teachers and four Thai graduate students participated in this program with the help of science teachers from two schools in Sa Kaeo and Chachoengsao Provinces of Thailand. To explore Vietnamese and Thai students' life experiences and their perceptions in science and Mathematics teaching, reflective journals were used to record their progress as team teaching in primary and lower secondary classrooms in the form of the online format via social media in English language. The data were collected from 54 reflective journals from their eight days experiences at the schools. The data were analyzed qualitatively using Van Manen's level of reflectivity which composed of three levels; 1) Technical Rationality (TR), 2) Practical Action (PA) and 3) Critical Reflection (CR). The results explicitly revealed that the three levels of reflectivity have appeared in the reflective journals. Besides, Vietnamese and Thai students have learned more from each other and can exchange their educational experiences and culture. Certainly, this was the first time for them to teach science and mathematics in English to Thai students. Moreover, they have shared their impressions toward schools, teachers and also students in the schools in their reflective journal as well.
Cavanagh, Michael; Mitchelmore, Michael
We report the results of a classroom study of three secondary mathematics teachers who had no prior experience teaching with technology as they began to use an online mathematics learning system in their lessons. We gave the teachers only basic instruction on how to operate the system and then observed them intensively over four school terms as they taught using it. We documented changes in the teachers' Pedagogical Technology Knowledge and subsequently classified their various roles as technology bystanders, adopters, adaptors and innovators. Results show that all teachers made some progress toward using the system in more sophisticated ways, but the improvements were not uniform across the teachers. We suggest possible reasons to explain the variation and discuss some implications for teacher professional development.
Jessen, Britta Eyrich
In mathematics education it is still a major challenge to find ways to nurture students to pose and pursue their own questions in order to learn mathematics. During the last three decades problem posing has been explored through different approaches and in empirical studies. This paper presents...... the result of an empirical study, where teaching was designed and conducted based on The Anthropological Theory of the Didactic. It is shown how a changed didactic contract and open generating questions posed by the teacher can support students’ autonomous questioning of the taught knowledge. In the study......, students developed knowledge that went beyond curriculum requirements through autonomous activities, which were different from more traditional school and pedagogical culture....
Enrique Diaz Chong
Full Text Available The main objective of this article is gather a set of Mathematic didactic strategies by improving the academic performance and acquiring skills and abilities through authentic performances during the teaching process. The investigation is going to realize with students of the ﬁrst semester E and with a teacher of Commercial Studies career, applying the “learn to learn” method described in the fundaments since the application of the teaching strategy until the evaluation. Through this method, they acquire basic competence of the mentioned subject and the knowledge in order to use them as future professionals in any life circumstance. It will verify the obtained results by having a better motivation of the students and the discipline comprehension. It is important to highlight that those strategies could be applied in any other subject.
Rebecca McMahon Giles
Full Text Available Research has consistently shown that teacher efficacy is related to a variety of desirable student outcomes, thus, making teacher efficacy an important factor in high quality mathematics instruction. The purpose of this study was to determine elementary preservice teachers’ self-efficacy beliefs related to teaching mathematics. Forty-one participants from a single university responded to the Mathematics Teaching Efficacy Beliefs Instrument (MTEBI after completing a constructivist-based elementary mathematics methods course prior to student teaching. The MTEBI is 21-item survey using a 5-point, forced choice Likert-like scale to provide an individual's perceptions of mathematics teaching efficacy beliefs on two subscales—Personal Mathematics Teaching Efficacy Belief (PMTE and Mathematics Teaching Outcome Expectancy (MTOE. Responses on the PMTE subscale (Mean = 51.08, SD=5.171 indicate that the respondents’ personal mathematics teach efficacy is positive. Participants’ responses (Mean = 29.32, SD = 3.29 on the MTOE subscale indicate positive expectations of students' mathematics learning. Attending to preservice teacher efficacy is worthy of examination. Teacher preparation programs must identify opportunities to positively impact mathematics teaching efficacy of preservice teachers.
Field, J C; Walmsley, A D; Paganelli, C; McLoughlin, J; Szep, S; Kavadella, A; Manzanares Cespedes, M C; Davies, J R; DeLap, E; Levy, G; Gallagher, J; Roger-Leroi, V; Cowpe, J G
It is often the case that good teachers just "intuitively" know how to teach. Whilst that may be true, there is now a greater need to understand the various processes that underpin both the ways in which a curriculum is delivered, and the way in which the students engage with learning; curricula need to be designed to meet the changing needs of our new graduates, providing new, and robust learning opportunities, and be communicated effectively to both staff and students. The aim of this document is to draw together robust and contemporaneous methods of teaching, learning and assessment that help to overcome some of the more traditional barriers within dental undergraduate programmes. The methods have been chosen to map specifically to The Graduating European Dentist, and should be considered in parallel with the benchmarking process that educators and institutions employ locally. © 2017 John Wiley & Sons A/S. Published by John Wiley & Sons Ltd.
Moraros, John; Islam, Adiba; Yu, Stan; Banow, Ryan; Schindelka, Barbara
Background Flipped Classroom is a model that?s quickly gaining recognition as a novel teaching approach among health science curricula. The purpose of this study was four-fold and aimed to compare Flipped Classroom effectiveness ratings with: 1) student socio-demographic characteristics, 2) student final grades, 3) student overall course satisfaction, and 4) course pre-Flipped Classroom effectiveness ratings. Methods The participants in the study consisted of 67 Masters-level graduate student...
Full Text Available This work represents a subset of a Masters’ research, which investigated how the pedagogical and non-pedagogical professional practices of mathematics teachers who teach in adult education are developed. In this paper we present the curricular management practices, tasks and materials, communication and evaluation. Through a case study of the daily activities of three math teachers who teach young people and adults, a qualitative research was developed, whose investigative tools were field observations, semi-structured interviews and questionnaires. Our study indicated that curriculum management practices are determined by a straightforward exposition teaching style, based on problem solving. Regarding the proposed tasks, teachers do not resort to learning materials other than blackboard and chalk, and rarely use the textbook. Communication in the classroom is univocal, sometimes supplemented by inadequate metaphors, especially in the teaching of algebra. The practices of student evaluation are predominantly focused on the summative function.
This talk considers the role of graduate training from a broad perspective --- that of making professional physicists. Following Shulman's definition and characterization of 'professionals' , it may be observed that graduate student preparation in research follows a traditional and effective track of creating professionals. However, at the same time, other forms professional activity of physicists, notably teaching and educational practice, remain largely absent. This talk presents a model of the contextual nature of student learning that sheds light on why and how this division occurs. Given such attention to context, this talk then examines a graduate student program in physics that is designed to augment the traditional training of graduate students in order to more fully inform and prepare students for their future roles. Data are presented from a study of a local four-year implementation of the national Preparing Future Physics Faculty Program to document the structure, key features, and outcomes of the program. Results include a framework and general heuristics for successful implementation, and the impact of emphasizing education and physics education research. Among the findings, this graduate training program demonstrates one mechanism for infusing physics education research and its findings into the broader physics community.  Shulman. L.S., Professing the Liberal Arts, In Education and Democracy: Re-imagining Liberal Learning in America, edited by Robert Orrill. New York: College Board Publications, 1997
Wajeeh M. Daher
Full Text Available Several researches examined students' mathematics learning using mobile phones, while very few researches examined mathematics teaching using this new educational tool. This research attempts to analyze in-service and pre-service teachers' attitudes and decisions regarding mathematics teaching with mobile phones using activity theory. More specifically, three case studies are analyzed in this research: One concerns an in-service teacher who used mobile phones in her class, the second case study involves a pre-service teacher who collaborated with the in-service teacher to teach mathematics lessons using mobile phones, and the third case study is about 15 pre-service teachers who were observers of the experiment but did not use mobile phones in their teaching. We held one-hour semi-structured interviews with the in-service teacher, with the leading pre-service teacher and with the group of other observer pre-service teachers. This happened three times during the academic year: at the beginning of the experiment, after three months and after it ended. The research findings indicate that different factors have an impact on the attitudes and decisions of the teacher: history of the teacher using technologies in teaching, perceptions of the teacher using technologies in teaching, community’s teacher, rules regulating the use of technologies in teaching mathematics, and division of labor. For example, questions as to who decides which technologies to use in the classroom and who should prepare the learning material for the students. Contradictions were identified in mathematics teachers' activity when utilizing mobile phones in their teaching. These contradictions hinder or slow such utilization. Community, especially its leading members, mediated and helped overcome the activity contradictions that arose throughout the experiment regarding the teaching processes in and/or out of the mathematics classroom.
Schussler, Elisabeth E.; Read, Quentin; Marbach-Ad, Gili; Miller, Kristen; Ferzli, Miriam
The inconsistency of professional development (PD) in teaching for graduate teaching assistants (GTAs) is a widespread problem in higher education. Although GTAs serve an important role in retention of undergraduate science majors and in promotion of scientific literacy in nonmajors, they often lack preparation and ongoing support for teaching. Given the recent national focus on instructional quality in introductory courses, our goal was to use an online survey to identify current practices of teaching PD for biology GTAs and compare these results with the last national survey on this topic. In responses from 71 participant institutions, 96% reported some mandatory teaching preparation for biology GTAs; however, 52% of these programs required 10 or fewer hours per year. Respondents wanted to change their programs to include more pedagogical information and teaching observations with feedback to their GTAs. Programmatic self-ratings of satisfaction with GTA PD were positively correlated with the number of topics discussed during PD. Although more schools are requiring GTA PD for teaching compared with the last national survey, the lack of program breadth at many schools warrants a national conversation with regard to recent calls for improving undergraduate instruction. PMID:26231562
For pre-service teachers (PSTs) who have been exposed to traditional approaches, teacher education courses can be a revelatory experience in their development as educators. This study explores if Canadian upper elementary/lower secondary (grades 4-10) PSTs change their beliefs about mathematics teaching as a result of taking a mathematics methods…
An, Song A.; Tillman, Daniel A.; Paez, Carlos R.
This study investigated the effects upon elementary preservice teachers' mathematics teaching self-efficacy and interdisciplinary lesson design strategies, which resulted from an educational intervention that emphasized integrated music-mathematics instruction. The participating elementary preservice teachers (n = 152) were recruited for this…
Iara da Silva França
Full Text Available Abstract The article discusses the mathematical training of primary teachers in Paraná and aims to understand how elementary mathematical knowledge was included in the reform carried out by Lysimaco Ferreira da Costa, in the 1920’s and directed by Prieto Martinez for the modernization of the state’s primary education. Supported by theoretical and methodological framework of cultural history, this study is guided by the question: Considering the Reform of teaching school and thinking about the mathematics education of Paraná teachers, what has changed, why has it changed and what for? With the reform subjects more focused on practical teaching in primary school were introduced, and that favored the renewal of teaching methods and teaching resources, curriculum reorganization which reflected in the quality of Math education of future teachers in the state’s primary education. Keywords: Mathematics Teaching. Primary Education Teacher. History of Education.
Enríquez, Jakeline Amparo Villota; de Oliveira, Andréia María Pereira; Valencia, Heriberto González
In this article we will discuss, through the explanations given by teachers who teach Mathematics, the importance of using teaching strategies in the implementation of tasks. Teachers who participated in it belong to the group "Observatory Mathematics Education" (OME-Bahia). This study was framed in a qualitative approach and data were…
Li, Xia; Chi, Liping; DeBey, Mary; Baroody, Arthur J.
Research Findings: The present study involved using a questionnaire to investigate the mathematics teaching practices of 74 U.S. and 67 Chinese early childhood teachers. Quantitative and qualitative analyses yielded several key findings. First, U.S. teachers are less intentional in mathematics teaching than their Chinese counterparts.…
Harper, Frances Kay
This dissertation builds on and extends research on the relationship between equity-minded mathematics teaching, specifically teaching mathematics for social justice, complex instruction, and project-based learning, and students' learning and identity development. Although different in their structures and strategies, equity-minded mathematics…
Hodges, Thomas E.; Hodge, Lynn Liao
This article explores the personal identities of two prospective elementary teachers as they progressed from mathematics methods coursework into their capstone student teaching semester. Results indicate that both prospective teachers perceived contrasting obligations of effective mathematics teaching in the teacher education and student teaching…
The aim of this longitudinal study was to examine prospective teachers' mathematics teaching efficacy belief during their enrollment in teacher education program and at the end of their first year of teaching. In addition, the factors that enhance or inhibit participants' efficacy belief and how these factors affect their mathematics teaching…
Geiger, Vince; Anderson, Judy; Hurrell, Derek
The characteristics that typify an effective teacher of mathematics and the environments that support effective teaching practices have been a long-term focus of educational research. In this article we report on an aspect of a larger study that investigated "best practice" in mathematics teaching and learning across all Australian…
Cook, Carolyn D.
This study explored the relationship between math anxiety and perceived self-efficacy for teaching mathematics in preschool teachers. Perceptions of and attributions for the teachers' perceived math anxiety and perceived self-efficacy for teaching mathematics were also explored. The study employed a mixed-method design consisting of both…
Alkhateeb, Haitham M
The Arabic translation of the Mathematics Teaching Efficacy Beliefs was completed by 144 undergraduate students (M age=20.6) in Jordan. The findings support the internal reliability of the Arabic translation of the Mathematics Teaching Efficacy Beliefs as well as its construct validity.
Bair, Sherry L.; Rich, Beverly S.
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…
Brown, Desline A.
The perspectives of special education teachers on the strategies used to teach mathematics to special education students were examined in this dissertation. Three central research questions that guided the study are: (a) What were New York special education teachers' opinions about the methods they use to teach mathematics to special education…
Lim, Chap Sam; Kor, Liew Kee; Chia, Hui Min
This paper discusses how implementation of Lesson Study (LS) has brought about evolving changes in the quality of mathematics classroom teaching in one Chinese primary school. The Japanese model of LS was adapted as a teacher professional development to improve mathematics teachers' teaching practices. The LS group consisted of five mathematics…
This paper addresses a topic within university mathematics education which has been somewhat underexplored: the teaching practices actually used by university mathematics teachers when giving lectures. The study investigates the teaching practices of seven Swedish university teachers on the topic of functions using a discursive approach, the…
Hill, Heather C.; Charalambous, Charalambos Y.
This paper documents the ways mathematical knowledge for teaching (MKT) and curriculum materials appear to contribute to the enactment of a 7th grade "Connected Mathematics Project" lesson on comparing ratios. Two teachers with widely differing MKT scores are compared teaching this lesson. The comparison of the teachers' lesson enactments suggests…
Engelbrecht, Johann; Harding, Ansie
In keeping with the national mandate of increasing graduates in the sciences in South Africa, a concerted effort in improving the first year experience becomes imperative. First year mathematics courses commonly provide the base knowledge necessary for progression in different degree programmes at university. Success in mathematics courses…
Rodenbusch, Stacia E.; Hernandez, Paul R.; Simmons, Sarah L.; Dolan, Erin L.
National efforts to transform undergraduate biology education call for research experiences to be an integral component of learning for all students. Course-based undergraduate research experiences, or CUREs, have been championed for engaging students in research at a scale that is not possible through apprenticeships in faculty research laboratories. Yet there are few if any studies that examine the long-term effects of participating in CUREs on desired student outcomes, such as graduating from college and completing a science, technology, engineering, and mathematics (STEM) major. One CURE program, the Freshman Research Initiative (FRI), has engaged thousands of first-year undergraduates over the past decade. Using propensity score–matching to control for student-level differences, we tested the effect of participating in FRI on students’ probability of graduating with a STEM degree, probability of graduating within 6 yr, and grade point average (GPA) at graduation. Students who completed all three semesters of FRI were significantly more likely than their non-FRI peers to earn a STEM degree and graduate within 6 yr. FRI had no significant effect on students’ GPAs at graduation. The effects were similar for diverse students. These results provide the most robust and best-controlled evidence to date to support calls for early involvement of undergraduates in research. PMID:27252296
Carr, Lincoln D.
Physics graduate programs tend to divide the degree into two parts: (1) theory, taught in classes, almost totally divorced from the lab setting; and (2) research, taught in a research group through hands-on lab experience and mentorship. As we come to understand from undergraduate physics education research that modifying our teaching can rather easily produce quantifiably better results, it is reasonable to ask if we can make similar improvements at the graduate level. In this talk I will present the results of beginning research instruction in the classroom in the very first semester of graduate school, in the most traditional of classes - classical mechanics. In this approach, students build their knowledge from hands-on projects. They get immediately certified and experienced in the machine shop and electronics lab. There are no formal lectures. Students develop and present their own problems, and teach and challenge each other in the classroom. In contrast to polished lectures, both the instructor and the students together learn from their many public mistakes. Students give conference-style presentations instead of exams. As a result, students not only excel in analytical skills, but they also learn to tie theory to measurement, identify statistical and systematic errors, simulate computationally and model theoretically, and design their own experiments. Funded by NSF.
This is an interpretive case study to examine the teaching of an experienced science faculty who had a strong interest in teaching undergraduate and graduate science courses and nature of science specifically. It was interested in how he transformed knowledge from his experience as a scientist and his ideas about nature of science into forms…
Akmanoglu, Nurgul; Yanardag, Mehmet; Batu, E. Sema
Teaching play skills is important for children with autism. The purpose of the present study was to compare effectiveness and efficiency of providing video modeling and graduated guidance together and video modeling alone for teaching role playing skills to children with autism. The study was conducted with four students. The study was conducted…
Reeves, Todd D.; Hake, Laura E.; Chen, Xinnian; Frederick, Jennifer; Rudenga, Kristin; Ludlow, Larry H.; O'Connor, Clare M.
Graduate teaching assistants (GTAs) play important instructional roles in introductory science courses, yet they often have little training in pedagogy. The most common form of teaching professional development (PD) for GTAs is a presemester workshop held at the course, department, or college level. In this study, we compare the effectiveness of…
Kilday, Carolyn R.; Kinzie, Mable B.
The evaluation of teaching quality in mathematics has become increasingly important following research reports indicating that preschoolers are developmentally able to engage in mathematic thought and that child performance in mathematics at this level is a strong predictor of later school achievement. As attention turns to early mathematics…
Jackson, Christa; Jong, Cindy
Teaching mathematics for equity is critical because it provides opportunities for all students, especially those who have been traditionally marginalised, to learn mathematics that is rigorous and relevant to their lives. This article reports on our work, as mathematics teacher educators, on exposing and engaging 60 elementary preservice teachers…
Jacobbe, Tim; Ross, Dorene D.; Caron, D. Alvarez; Barko, Timothy; Busi, Rich
The National Council of Teachers of Mathematics (NCTM) has called for changes in mathematics teaching from a procedural to conceptual focus since 1980, yet the way mathematics is taught in many classrooms continues to contradict the recommended practices. The pervasiveness of this challenge has led some educators to suggest changes in university…
Stoilescu, Dorian; McDougall, Douglas; Egodawatte, Gunawardena
Mathematics teachers, mathematics department heads, curriculum leaders, and administrators from 11 schools in four school boards from Toronto, Ontario, Canada, participated in a project to improve the teaching and learning in grade 9 mathematics classrooms. In each of these schools, an implementation team was created, so that at least three…
Burton, Megan; Daane, C. J.; Giesen, Judy
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…
Abdelkarim, Ra'ed; Abuiyada, Reem
This study explored the effects of peer teaching on mathematics academic achievement of the undergraduate students in Oman. The sample of this study composed of (32) undergraduate female students enrolled in the course, "Mathematics for Social Sciences I" in Mathematics and Sciences Unit in Dhofar University in spring semester 2014-2015.…
Full Text Available This paper illustrates the main teaching practices features in the Italian primary and secondary school, by using new data, provided by Invalsi, about teachers’ daily activities. We merge such information with the scores achieved by the students in the Invalsi test. Our study reframes the cognitive test results in mathematics from a new bottom-up perspective, that is internal to the educational system. La didattica della matematica e gli apprendimenti: un contributo a partire dai dati InvalsiLa finalità principale del presente lavoro è di illustrare alcune caratteristiche delle pratiche didattiche del primo e del secondo ciclo di istruzione, utilizzando alcuni nuovi dati forniti da Invalsi sulle attività quotidiane degli insegnanti. Unendo queste informazioni con i punteggi ottenuti dagli studenti nel test Invalsi, si vogliono approfondire i risultati ottenuti dagli studenti in matematica partendo da una nuova prospettiva, interna al sistema di educazione.
Prevost, Luanna B.; Vergara, Claudia E.; Urban-Lurain, Mark; Campa, Henry, III.
Higher education institutions prepare future faculty members for multiple roles, including teaching. However, teaching professional development programs for graduate students vary widely. We present evaluation data from a high engagement program for STEM doctoral students. We analyzed the impact on three cohorts of participants over three academic…
Flaherty, A.; O'Dwyer, A.; Mannix-McNamara, P.; Leahy, J. J.
Designing and evaluating teacher development programs for graduate teaching assistants (GTAs) who teach in the laboratory is a prominent feature of chemistry education research. However, few studies have investigated the impact of a GTA teacher development program on the verbal interactions between participating GTAs and students in the…
Mutambuki, Jacinta M.; Schwartz, Renee
This study investigated the implementation of best teaching practices by science graduate teaching assistants [GTAs] (3 chemists and 2 biologists) in five inquiry-based, interdisciplinary chemistry-biology experiments during a six-week professional development (PD) program, Engage PD. Additionally, we examined GTAs' experiences in implementing…
Falk, Nancy L; Phillips, Kathleen M; Hymer, Regina; Acquaviva, Kimberly D; Schumann, Mary Jean
Graduate nurses are employed in clinical, research, educational, and policy roles. As leaders, they are expected to develop and sustain projects that support translating research to practice and policy. Funding to support initiatives is tight and requires innovative solutions to cover salaries, benefits, equipment purchases, and other program expenses. In an effort to teach grant writing while developing skilled leaders who are effective and competitive in securing funds, the George Washington University School of Nursing offers a graduate-level grant writing course. In the summer of 2011, a collaborative learning model was developed within the course. The joint approach was foundational to securing an Agency for Healthcare Research and Quality grant to support development and implementation of a patient engagement project by the Nursing Alliance for Quality Care. This article describes the project and offers hints for those seeking to develop a collaborative educational experience that affords new leadership skills for RNs from all backgrounds. Copyright 2014, SLACK Incorporated.
This study examined the influence of Empathie Teaching Climate on Mathematics Learnmg'andMathematics and General School Self-Concepts, in sateen schools in Dublin, Ireland. The study required the design development and validation of the Student-Teacher Interaction Questionnaire (STIQ), which measures specific behavioural indices of classroom Teaching Empathy. The research monitored the effects of Teaching Empathy on students (N=387) in their first year of secondary schooling, as they complete...
find amusing but that we find of less educational value, like having the robots say comical things. Those who have more teaching time would doubtless...Gains in the Education of Mathematics and Science GEMS: Teaching Robotics to High School Students by Edward M. Measure and Edward Creegan...TR-6220 January 2013 Gains in the Education of Mathematics and Science (GEMS): Teaching Robotics to High School Students Edward M
Matveev, S. K.; Arkhangelskaya, L. A.; Akimov, G. A.
Isaak Pavlovich Ginzburg (1910-1979) was a professor at the hydroaeromechanics department of Leningrad State University, a prominent scientist, an outstanding organizer and a brilliant educator, who had trained more than one generation of specialists in the field of fluid, gas and plasma mechanics. Many of his students became major scientists and organizers of science. The present paper is devoted to the students of I.P. Ginzburg graduated from the Mathematics and Mechanics Faculty of Leningrad State University.
Kul, Umit; Celik, Sedef
This paper has been conducted to determine future teachers' mathematical beliefs and to explore the relationship between their mathematical beliefs and initial teaching practice in a classroom setting, in terms of how they design the content of teaching activities, they employed the style of teaching in mathematics, and they engaged with pupils. A…
Reagan, Emilie Mitescu; Pedulla, Joseph J.; Jong, Cindy; Cannady, Mac; Cochran-Smith, Marilyn
This study used the Teaching for Social Justice Observation Scale (TSJOS) of the Reformed Teaching Observation Protocol-Plus (RTOP+) to examine the extent to which twenty-two novice elementary teachers implemented practices related to teaching for social justice in their mathematics instruction. In addition, this study sought to examine the extent…
Although mathematicians frequently use specialist software in direct teaching of mathematics, as a means of delivery e-learning technologies have so far been less widely used. We (mathematicians) insist that teaching methods should be subject-specific and content-driven, not delivery-driven. We oppose generic approaches to teaching, including…
Helma, H.; Mirna, M.; Edizon, E.
Mathematics is often applied in physics, chemistry, economics, engineering, and others. Besides that, mathematics is also used in everyday life. Learning mathematics in school should be associated with other sciences and everyday life. In this way, the learning of mathematics is more realstic, interesting, and meaningful. Needs analysis shows that required contextual mathematics teaching materials integrated related sciences and realistic on learning mathematics. The purpose of research is to produce a valid and practical contextual mathematics teaching material integrated related sciences and realistic. This research is development research. The result of this research is a valid and practical contextual mathematics teaching material integrated related sciences and realistic produced
Pepin, Birgit; Xu, Binyan; Trouche, Luc; Wang, Chongyang
In order to develop a deeper understanding of mathematics teaching expertise, in this study we use the Documentational Approach to Didactics to explore the resource systems of three Chinese mathematics "expert" teachers. Exploiting the Western and Eastern literature we examine the notion of "mathematics teaching expertise", as…
Mathematics educators in Japan have traditionally emphasized mathematical perspectives in research and practice. This paper features an account of changes in mathematics education in Japan that focus on the possibilities of individual students as well as their mathematical ways of thinking. Students' mathematical thinking, mathematical…
Schussler, Elisabeth E; Read, Quentin; Marbach-Ad, Gili; Miller, Kristen; Ferzli, Miriam
The inconsistency of professional development (PD) in teaching for graduate teaching assistants (GTAs) is a widespread problem in higher education. Although GTAs serve an important role in retention of undergraduate science majors and in promotion of scientific literacy in nonmajors, they often lack preparation and ongoing support for teaching. Given the recent national focus on instructional quality in introductory courses, our goal was to use an online survey to identify current practices of teaching PD for biology GTAs and compare these results with the last national survey on this topic. In responses from 71 participant institutions, 96% reported some mandatory teaching preparation for biology GTAs; however, 52% of these programs required 10 or fewer hours per year. Respondents wanted to change their programs to include more pedagogical information and teaching observations with feedback to their GTAs. Programmatic self-ratings of satisfaction with GTA PD were positively correlated with the number of topics discussed during PD. Although more schools are requiring GTA PD for teaching compared with the last national survey, the lack of program breadth at many schools warrants a national conversation with regard to recent calls for improving undergraduate instruction. © 2015 E. E. Schussler et al. CBE—Life Sciences Education © 2015 The American Society for Cell Biology. This article is distributed by The American Society for Cell Biology under license from the author(s). It is available to the public under an Attribution–Noncommercial–Share Alike 3.0 Unported Creative Commons License (http://creativecommons.org/licenses/by-nc-sa/3.0).
Eubanks-Turner, Christina; Beaulieu, Patricia; Pal, Nabendu
The Smooth Transition for Advancement to Graduate Education (STAGE) project was a three-year pilot project designed to mentor undergraduate students primarily from under-represented groups in the mathematical sciences. The STAGE pilot project focused on mentoring students as they transitioned from undergraduate education to either graduate school…
Frid, Sandra; Sparrow, Len
The purpose of this study was to explore the mathematics teaching practices of graduates of a pre-service primary/early childhood education program designed to develop teachers' capacities to implement non-traditional mathematics curricula. As a complementary component of a large survey study of graduate teachers, graduates were interviewed to…
Reeves, Todd D; Marbach-Ad, Gili; Miller, Kristen R; Ridgway, Judith; Gardner, Grant E; Schussler, Elisabeth E; Wischusen, E William
Biology graduate teaching assistants (GTAs) are significant contributors to the educational mission of universities, particularly in introductory courses, yet there is a lack of empirical data on how to best prepare them for their teaching roles. This essay proposes a conceptual framework for biology GTA teaching professional development (TPD) program evaluation and research with three overarching variable categories for consideration: outcome variables, contextual variables, and moderating variables. The framework's outcome variables go beyond GTA satisfaction and instead position GTA cognition, GTA teaching practice, and undergraduate learning outcomes as the foci of GTA TPD evaluation and research. For each GTA TPD outcome variable, key evaluation questions and example assessment instruments are introduced to demonstrate how the framework can be used to guide GTA TPD evaluation and research plans. A common conceptual framework is also essential to coordinating the collection and synthesis of empirical data on GTA TPD nationally. Thus, the proposed conceptual framework serves as both a guide for conducting GTA TPD evaluation at single institutions and as a means to coordinate research across institutions at a national level. © 2016 T. D. Reeves et al. CBE—Life Sciences Education © 2016 The American Society for Cell Biology. This article is distributed by The American Society for Cell Biology under license from the author(s). It is available to the public under an Attribution–Noncommercial–Share Alike 3.0 Unported Creative Commons License (http://creativecommons.org/licenses/by-nc-sa/3.0).
D.F. Escoto et al
Full Text Available INTRODUCTION: In Brazil, since 1980, there is a tendency among Programs Graduate(PG of specific area, such as Biochemistry, of inserting activities involving teaching /education alongside their area of expertise. In this context, various scientific events ofrelevance in the area have presented sessions dedicated to these matters in theirconferences and meetings. OBJECTIVES: This study aimed to investigate the occurrenceof research lines or areas of concentration teaching/education in 16 PG. MATERIALSAND METHODS: We analyzed 35 courses and divided among doctoral, master’sacademic and professional. Data collection occurred through websites of programs. Theanalysis was performed from the indication of the concentration areas or lines of researchprograms presented in their virtual space. Later, they were classified into two categories:those with and those without research in teaching / education. RESULTS ANDDISCUSSION: After visiting all virtual spaces, the results obtained showed that only 3 PGhave research areas and/or areas of concentration in teaching/education. On 2 PG notfound sites were and other 2 PG nor its research nor their area of concentration. From thequantitative search of PG it was still possible to characterize each line found. Basically, theactivities focus on undergraduate education and the pursuit of new teachingmethodologies, only 1 of the PG aims at continuing formation of teachers of basiceducation. CONCLUSION: These activities contribute significantly to the impact andevaluation of the PG. Perceptibly, these spaces are scarce, however, with national policiesfor the dissemination and popularization of scientific production trend is that they areleveraged.
Woodward-Kron, Robyn; Flynn, Eleanor; Delany, Clare
In Australia, international medical graduates (IMGs) play a crucial role in addressing workforce shortages in healthcare. Their ability to deliver safe and effective healthcare in an unfamiliar cultural setting is intrinsically tied to effective communication. Hospital-based medical clinical educators, who play an important role in providing communication training to IMGs, would benefit from practical resources and an understanding of the relevant pedagogies to address these issues in their teaching. This paper examines the nature of an interdisciplinary collaboration to develop multimedia resources for teaching clinical and ethical communication to IMGs. We describe the processes and dynamics of the collaboration, and outline the methodologies from applied linguistics, medical education, and health ethics that we drew upon. The multimedia consist of three video clips of challenging communication scenarios as well as experienced IMGs talking about communication and ethics. The multimedia are supported by teaching guidelines that address relevant disciplinary concerns of the three areas of collaboration. In the paper's discussion we point out the pre-conditions that facilitated the interdisciplinary collaboration. We propose that such collaborative approaches between the disciplines and participants can provide new perspectives to address the multifaceted challenges of clinical teaching and practice.
In order to promote mathematical understanding among English Language Learners (ELLs), it is necessary to modify instructional strategies to effectively communicate mathematical content. This paper discusses the instructional strategies used by four pre-service teachers to teach mathematics to secondary students in English-medium schools in Arusha, Tanzania as a result of the tensions they faced and reflections on their teaching. Strategies such as code switching, attending to sentence structure, non-linguistic representations, and placing the content within a familiar context proved to be beneficial strategies for conveying mathematical ideas.
Platas, Linda M.
The Mathematical Development Beliefs Survey was developed to measure early childhood teachers' beliefs about mathematics teaching and learning in the preschool classroom. This instrument was designed to measure beliefs concerning (a) age-appropriateness of mathematics instruction, (b) classroom locus of generation of mathematical knowledge…
Kjeldsen, Tinne Hoff; Lützen, Jesper
In this paper, we discuss the history of the concept of function and emphasize in particular how problems in physics have led to essential changes in its definition and application in mathematical practices. Euler defined a function as an analytic expression, whereas Dirichlet defined it as a variable that depends in an arbitrary manner on another variable. The change was required when mathematicians discovered that analytic expressions were not sufficient to represent physical phenomena such as the vibration of a string (Euler) and heat conduction (Fourier and Dirichlet). The introduction of generalized functions or distributions is shown to stem partly from the development of new theories of physics such as electrical engineering and quantum mechanics that led to the use of improper functions such as the delta function that demanded a proper foundation. We argue that the development of student understanding of mathematics and its nature is enhanced by embedding mathematical concepts and theories, within an explicit-reflective framework, into a rich historical context emphasizing its interaction with other disciplines such as physics. Students recognize and become engaged with meta-discursive rules governing mathematics. Mathematics teachers can thereby teach inquiry in mathematics as it occurs in the sciences, as mathematical practice aimed at obtaining new mathematical knowledge. We illustrate such a historical teaching and learning of mathematics within an explicit and reflective framework by two examples of student-directed, problem-oriented project work following the Roskilde Model, in which the connection to physics is explicit and provides a learning space where the nature of mathematics and mathematical practices are linked to natural science.
Wati, S.; Fitriana, L.; Mardiyana
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.
Rodenbusch, Stacia E; Hernandez, Paul R; Simmons, Sarah L; Dolan, Erin L
National efforts to transform undergraduate biology education call for research experiences to be an integral component of learning for all students. Course-based undergraduate research experiences, or CUREs, have been championed for engaging students in research at a scale that is not possible through apprenticeships in faculty research laboratories. Yet there are few if any studies that examine the long-term effects of participating in CUREs on desired student outcomes, such as graduating from college and completing a science, technology, engineering, and mathematics (STEM) major. One CURE program, the Freshman Research Initiative (FRI), has engaged thousands of first-year undergraduates over the past decade. Using propensity score-matching to control for student-level differences, we tested the effect of participating in FRI on students' probability of graduating with a STEM degree, probability of graduating within 6 yr, and grade point average (GPA) at graduation. Students who completed all three semesters of FRI were significantly more likely than their non-FRI peers to earn a STEM degree and graduate within 6 yr. FRI had no significant effect on students' GPAs at graduation. The effects were similar for diverse students. These results provide the most robust and best-controlled evidence to date to support calls for early involvement of undergraduates in research. © 2016 S. Rodenbusch et al. CBE—Life Sciences Education © 2016 The American Society for Cell Biology. This article is distributed by The American Society for Cell Biology under license from the author(s). It is available to the public under an Attribution–Noncommercial–Share Alike 3.0 Unported Creative Commons License (http://creativecommons.org/licenses/by-nc-sa/3.0).
Yang, Xinrong; Leung, Frederick K. S.
This paper investigated pre-service mathematics teachers' mathematics beliefs, beliefs about information and communication technology (ICT), and their relationships. 787 pre-service mathematics teachers in China completed a survey questionnaire measuring their beliefs about the nature of mathematics, beliefs about mathematics learning and…
Tobin, Patrick C.; Weiss, Vida
The use of handheld CAS technology in undergraduate mathematics courses in Australia is paradoxically shrinking under sustained disapproval or disdain from the professional mathematics community. Mathematics education specialists argue with their mathematics colleagues over a range of issues in course development and this use of CAS or even…
Full Text Available This paper presents the findings from a posttest experiment control group design by using reciprocal teaching, conducted in Indonesia University of Education to investigate students’ ability in mathematical communication and self regulated learning. Subject of the study were 254 of 9th grade students from three junior high schools of high, medium, and low level in Bojonegoro, East Java. The instruments of the study were an essay mathematical communication test, and a self regulated learning scale. The study found that reciprocal teaching took the best role among school cluster and students’ prior mathematics ability on students’ mathematical communication ability and self regulated learning as well. The other finding were there was interaction between school cluster and teaching approaches, but was no interaction between students’ prior mathematics ability and teaching approaches on mathematical communication ability and self regulated learning. Moreover, there was association between mathematical communication and self regulated learningKeywords: Reciprocal Teaching, Mathematical Communication, Self Regulated Learning DOI: http://dx.doi.org/10.22342/jme.4.1.562.59-74
Deacon, Christopher; Hajek, Allyson; Schulz, Henry
Many post-secondary institutions provide training and resources to help GTAs fulfil their teaching roles. However, few programmes focus specifically on the teaching competencies required by GTAs who work with undergraduate students in laboratory settings where learning tends to be more active and inquiry based than in classroom settings. From a review of 8 GTA manuals, we identified 20 competencies and then surveyed faculty and lab coordinators (FIS) and GTAs from a Faculty of Science at a comprehensive Canadian university to identify which of those competencies are required of GTAs who work in undergraduate science labs. GTAs and FIS did not significantly differ in the competencies they view as required for GTAs to work effectively in undergraduate labs. But, when comparing the responses of GTAs and FIS to TA manuals, 'Clearly and effectively communicates ideas and information with students' was the only competency for which there was agreement on the level of requirement. We also examined GTAs' self-efficacy for each of the identified competencies and found no overall relationship between self-efficacy and demographic characteristics, including experience and training. Our results can be used to inform the design of training programmes specifically for GTAs who work in undergraduate science labs, for example, programmes should provide strategies for GTAs to obtain feedback which they can use to enhance their teaching skills. The goal of this study is to improve undergraduate lab instruction in faculties of science and to enhance the teaching experience of GTAs by better preparing them for their role.
Kim, Won J.
Reliable measurements for effective teaching are lacking. In contrast, some theories of leadership (particularly transformational leadership) have been tested and found to have efficacy in a variety of organizational settings. In this study, the full-range leadership theory, which includes transformational leadership, was applied to the…
Jansen, Daniel J.
Teacher efficacy continues to be an important area of study in educational research. This study tested an instrument designed to assess the perceived efficacy of agricultural education teachers when engaged in lessons involving mathematics instruction. The study population of Oregon and Washington agricultural educators utilized in the validation of the instrument revealed important demographic findings and specific results related to teacher efficacy for the study population. An instrument was developed from the assimilation of three scales previously used and validated in efficacy research. Participants' mathematics teaching efficacy was assessed using a portion of the Mathematics Teaching Efficacy Beliefs Instrument (MTEBI), and personal mathematics efficacy was evaluated by the mathematics self-belief instrument which was derived from the Betz and Hackett's Mathematics Self-Efficacy Scale. The final scale, the Teachers' Sense of Efficacy Scale (TSES) created by Tschannen-Moran and Woolfolk Hoy, examined perceived personal teaching efficacy. Structural equation modeling was used as the statistical analyses tool to validate the instrument and examine correlations between efficacy constructs used to determine potential professional development needs of the survey population. As part of the data required for validation of the Mathematics Enhancement Teaching Efficacy instrument, demographic information defining the population of Oregon and Washington agricultural educators was obtained and reported. A hypothetical model derived from teacher efficacy literature was found to be an acceptable model to verify construct validity and determine strength of correlations between the scales that defined the instrument. The instrument produced an alpha coefficient of .905 for reliability. Both exploratory and confirmatory factor analyses were used to verify construct and discriminate validity. Specifics results related to the survey population of agricultural educators
Rahayu, D. V.; Kusumah, Y. S.; Darhim
This study examined to see the improvement of prospective teachers’ basic skills of teaching mathematics through search-solve-create-share learning strategy based on overall and Mathematical Prior Knowledge (MPK) and interaction of both. Quasi experiments with the design of this experimental-non-equivalent control group design involved 67 students at the mathematics program of STKIP Garut. The instrument used in this study included pre-test and post-test. The result of this study showed that: (1) The improvement and achievement of the basic skills of teaching mathematics of the prospective teachers who get the learning of search-solve-create-share strategy is better than the improvement and achievement of the prospective teachers who get the conventional learning as a whole and based on MPK; (2) There is no interaction between the learning used and MPK on improving and achieving basic skills of teaching mathematics.
We have created an inventory to characterize the teaching practices used in science and mathematics courses. This inventory can aid instructors and departments in reflecting on their teaching. It has been tested with several hundred university instructors and courses from mathematics and four science disciplines. Most instructors complete the inventory in 10 min or less, and the results allow meaningful comparisons of the teaching used for the different courses and instructors within a department and across different departments. We also show how the inventory results can be used to gauge the extent of use of research-based teaching practices, and we illustrate this with the inventory results for five departments. These results show the high degree of discrimination provided by the inventory, as well as its effectiveness in tracking the increase in the use of research-based teaching practices. PMID:25185237
Teasdale, R.; Ryker, K.; Bitting, K. S.
Graduate Teaching Assistants (GTAs) in the geosciences are responsible for teaching a large proportion of undergraduate students in many universities. Often, GTAs are primary instructors in small laboratory sections of large enrollment courses, putting them in the position of having a more personalized relationship with students, in what is often the most interactive portion of an introductory course. Anecdotally, geoscientists recognize that GTAs also have a broad range of responsibilities, but there is wide variation in the content and timing of the training they receive. Until now, no comprehensive survey has been conducted to capture and analyze this distribution in a systematic way. Data from a nationwide survey of 120 geoscientists is used here to characterize the ways GTAs are trained as well as respondents' priorities for GTA training. Respondents include faculty from PhD- and MS- granting institutions (81.4%) and MS-only granting institutions (18.5%). According to the survey, most GTAs teach laboratory sections (95.6%), and many teach lecture sections (38.9%). In many cases, GTAs support instructors during or outside of the "lecture" section (e.g. grading, 77.1%). Of GTAs who teach lecture or lab sections, most receive required training from their department or the university, commonly on a single day just before the start of the semester. GTA training typically includes logistical information (where to find materials, professionalism), but less than 40% of GTAs are required to participate in pedagogical training. In contrast, pedagogy was most often rated very important or important (74.2%) by survey respondents. The disconnect between the geoscience community's current practices in GTA training and our current values suggests that GTA training programs are needed, and that the community can benefit from reports on the success of existing programs and the dissemination of adaptable models for GTA pedagogical training.
Stouraitis, Konstantinos; Potari, Despina; Skott, Jeppe
In the framework of Cultural Historical Activity Theory (AT) contradictions are sources of change and development. Borrowing concepts from AT we attempt an interpretation of identified contradictions in a collaborative context where teachers plan and evaluate their teaching in the process...... of enacting a new mathematics curriculum. We examine the connection between contradictions and shifts in teaching activity, with a special focus on the mathematical character of these contradictions. We claim that dialectical oppositions lying in the background of these contradictions promote teachers...
Becker, Erin A.; Easlon, Erin J.; Potter, Sarah C.; Guzman-Alvarez, Alberto; Spear, Jensen M.; Facciotti, Marc T.; Igo, Michele M.; Singer, Mitchell; Pagliarulo, Christopher
Evidence-based teaching is a highly complex skill, requiring repeated cycles of deliberate practice and feedback to master. Despite existing well-characterized frameworks for practice-based training in K–12 teacher education, the major principles of these frameworks have not yet been transferred to instructor development in higher educational contexts, including training of graduate teaching assistants (GTAs). We sought to determine whether a practice-based training program could help GTAs learn and use evidence-based teaching methods in their classrooms. We implemented a weekly training program for introductory biology GTAs that included structured drills of techniques selected to enhance student practice, logic development, and accountability and reduce apprehension. These elements were selected based on their previous characterization as dimensions of active learning. GTAs received regular performance feedback based on classroom observations. To quantify use of target techniques and levels of student participation, we collected and coded 160 h of video footage. We investigated the relationship between frequency of GTA implementation of target techniques and student exam scores; however, we observed no significant relationship. Although GTAs adopted and used many of the target techniques with high frequency, techniques that enforced student participation were not stably adopted, and their use was unresponsive to formal feedback. We also found that techniques discussed in training, but not practiced, were not used at quantifiable frequencies, further supporting the importance of practice-based training for influencing instructional practices. PMID:29146664
Moraros, John; Islam, Adiba; Yu, Stan; Banow, Ryan; Schindelka, Barbara
Flipped Classroom is a model that's quickly gaining recognition as a novel teaching approach among health science curricula. The purpose of this study was four-fold and aimed to compare Flipped Classroom effectiveness ratings with: 1) student socio-demographic characteristics, 2) student final grades, 3) student overall course satisfaction, and 4) course pre-Flipped Classroom effectiveness ratings. The participants in the study consisted of 67 Masters-level graduate students in an introductory epidemiology class. Data was collected from students who completed surveys during three time points (beginning, middle and end) in each term. The Flipped Classroom was employed for the academic year 2012-2013 (two terms) using both pre-class activities and in-class activities. Among the 67 Masters-level graduate students, 80% found the Flipped Classroom model to be either somewhat effective or very effective (M = 4.1/5.0). International students rated the Flipped Classroom to be significantly more effective when compared to North American students (X(2) = 11.35, p Students' perceived effectiveness of the Flipped Classroom had no significant association to their academic performance in the course as measured by their final grades (r s = 0.70). However, students who found the Flipped Classroom to be effective were also more likely to be satisfied with their course experience. Additionally, it was found that the SEEQ variable scores for students enrolled in the Flipped Classroom were significantly higher than the ones for students enrolled prior to the implementation of the Flipped Classroom (p = 0.003). Overall, the format of the Flipped Classroom provided more opportunities for students to engage in critical thinking, independently facilitate their own learning, and more effectively interact with and learn from their peers. Additionally, the instructor was given more flexibility to cover a wider range and depth of material, provide in-class applied learning
Arnoux, Pierre; Finkel, Alain
The role of mental representations in mathematics and computer science (for teaching or research) is often downplayed or even completely ignored. Using an ongoing work on the subject, we argue for a more systematic study and use of mental representations, to get an intuition of mathematical concepts, and also to understand and build proofs. We…
McGee, Jennifer R.; Wang, Chuang
The purpose of this study is to provide evidence of reliability and validity of the Self-Efficacy for Teaching Mathematics Instrument (SETMI). Self-efficacy, as defined by Bandura, was the theoretical framework for the development of the instrument. The complex belief systems of mathematics teachers, as touted by Ernest provided insights into the…
Morales, Marie Paz E.; Avilla, Ruel A.; Espinosa, Allen A.
The present study explored gender inequality in K to 12 basic education, based on the experiences of first year pre-service science and mathematics teachers. It also determined if pre-service teachers' pursuit of a career in science or mathematics teaching was related to gender influences. A survey instrument was used to gather data for the study.…
Saunders, Alicia F.; Spooner, Fred; Ley Davis, Luann
Mathematical problem solving is necessary in many facets of everyday life, yet little research exists on how to teach students with more severe disabilities higher order mathematics like problem solving. Using a multiple probe across participants design, three middle school students with moderate intellectual disability (ID) were taught to solve…
An, Song A.; Ma, Tingting; Capraro, Mary Margaret
This article presents exploratory research investigating the integration of music and a mathematics lesson as an intervention to promote preservice teachers' attitude and confidence and to extend their beliefs toward teaching mathematics integrated with music. Thirty students were randomly selected from 64 preservice teachers in a southern…
Based on a sequence of points and a particular linear transformation generalized from this sequence, two recent papers (E. Mauch and Y. Shi, "Using a sequence of number pairs as an example in teaching mathematics". Math. Comput. Educ., 39 (2005), pp. 198-205; Y. Shi, "Case study projects for college mathematics courses based on a particular…
Cook, John Paul
This paper details an inquiry-based approach for teaching the basic notions of rings and fields to liberal arts mathematics students. The task sequence seeks to encourage students to identify and comprehend core concepts of introductory abstract algebra by thinking like mathematicians; that is, by investigating an open-ended mathematical context,…
To succeed in an increasing technological and global society, students need to develop strong mathematical and problem-solving skills. This qualitative grounded theory study examined student perceptions of the ways in which teaching strategies in high school mathematics classes affect student motivation to learn the subject. Study participants…
Giles, Rebecca McMahon; Byrd, Kelly O.; Bendolph, Angelia
Research has consistently shown that teacher efficacy is related to a variety of desirable student outcomes, thus, making teacher efficacy an important factor in high quality mathematics instruction. The purpose of this study was to determine elementary preservice teachers' self-efficacy beliefs related to teaching mathematics. Forty-one…
This research aims to investigate the enhancement of students’ mathematical self- efficacy through teaching with metacognitive scaffolding approach. This research used a quasi- experimental design with pre-post respon control. The subjects were pre-service elementary school teachers in a state university in Bandung. In this study, there were two groups: experimental and control groups. The experimental group consists of 60 students who acquire teaching mathematics under metacognitive approach, while the control group consists of 58 students who acquire teaching mathematics under direct approach. Students were classified into three categories based on the mathematical prior ability, namely high, middle, and low. Data collection instruments consist of mathematical self-efficacy instruments. By using mean difference test, two conclusions of the research: (1) there is a significant difference in the enhancement of mathematical self-efficacy between the students who attended the course under metacognitive scaffolding approach and students who attended the course under direct approach, and (2) there is no significant interaction effect of teaching approaches and ability level based on the mathematical prior ability toward enhancement of students’ mathematical self-efficacy.
Chronaki, Anna; Matos, Anastasios
Teacher change towards developing competences for technology use in mathematics teaching has been the focus of current educational reforms worldwide. However, a considerable amount of research denotes the extent to which teachers resist a full integration of technology in mathematics classrooms. The present paper is based on an ethnographic study…
Bleecker, Heather A.
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…
Teo, Timothy; Milutinovic, Verica
This study aims to examine the variables that influence Serbian pre-service teachers' intention to use technology to teach mathematics. Using the technology acceptance model (TAM) as the framework, we developed a research model to include subjective norm, knowledge of mathematics, and facilitating conditions as external variables to the TAM. In…
Seah, Wee Tiong
This paper reports on a qualitative research study exploring the socialisation experiences of immigrant secondary mathematics teachers practising in Australia. Teacher perception of differences in the ways their respective home and the Australian (host) cultures value aspects of mathematics teaching and learning was observed to lead to dissonance.…
Kulikowich, Jonna M.
Operating from multiple literature bases in cognitive psychology, mathematics education, and theoretical and applied psychometrics, Schilling, Hill and their colleagues provide a systemic approach to studying the validity of scores of mathematical knowledge for teaching. This system encompasses an array of task formats and methodologies. The…
Kërënxhi, Svjetllana; Gjoci, Pranvera
In this paper, we recommend mathematical teaching through dual treatments. The dual treatments notion, classified in dual interpretations, dual analyses, dual solutions, and dual formulations, is explained through concrete examples taken from mathematical textbooks of elementary education. Dual treatments provide opportunities for creating…
Louie, Nicole L.
In this article, I investigate the influence of the dominant culture characterizing mathematics education--which I term the "culture of exclusion"--on efforts to teach for equity. Analyzing a year of observations in an urban high school mathematics department, I found that this culture structured everyday instruction even for teachers…
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…
Lalingkar, Aparna; Ramnathan, Chandrashekar; Ramani, Srinivasan
The Indian National Curriculum Framework has as one of its objectives the development of mathematical thinking and problem solving ability. However, recent studies conducted in Indian metros have expressed concern about students' mathematics learning. Except in some private coaching academies, regular classroom teaching does not include problem…
Dimitrova, Eva D.
The Department of Mathematics at the University of Food Technology, Plovdiv, Bulgaria, has introduced the Computer Algebra System DERIVE into the Mathematics courses with a view to increasing student motivation and understanding of the material taught as well as the efficiency of the teaching process. With the aim of investigating the effect of…
Önal, Nezih; Ibili, Emin; Çaliskan, Erkan
The purpose of this research is to determine the impact of augmented reality technology and geometry teaching on elementary school mathematics teacher candidates' technology acceptance and to examine participants' views on augmented reality. The sample of the research was composed of 40 elementary school mathematics teacher candidates who were…
Kasmer, Lisa Anne; Billings, Esther
This study investigated how a study abroad experience teaching mathematics in Tanzania, Africa impacted a group of secondary education pre-service teachers (PSTs) from the United States. In particular we discuss their ability to facilitate the learning of students in multilingual mathematics classrooms while personally developing intercultural…
Nyala, Joseph; Assuah, Charles; Ayebo, Abraham; Tse, Newel
Stakeholders of mathematics education decry the rate at which students' performance are falling below expectation; they call for a shift to practical methods of teaching the subject in Ghanaian basic schools. The study explores the extent to which Ghanaian basic school mathematics teachers use problem-solving approach in their lessons. The…
Clay, Simon; Fotou, Nikolaos; Monaghan, John
This paper reports on classroom observations of senior high school mathematics lessons with a focus on the use of digital technology. The observations were of teachers enrolled in an in-service course, Teaching Advanced Mathematics. The paper reports selected results and comments on: software that was observed to have been used; the use (or not)…
Teaching mathematics while learning from students' mistakes, errors and misconceptions, is most important for meaningful learning. This study was based on intervention programs prepared by preservice teachers. It aimed to examine their knowledge of assessment of errors in mathematics amongst pupils with learning disabilities, and their use as a…
Crawford-Ferre, Heather Glynn; Wiest, Lynda R.; Vega, Stephanie
Because financial literacy is an important skill for middle-grades students, this article suggests numerous personal financial literacy tasks for use in the mathematics classroom. Also provided are specifics for implementing one of these tasks to address mathematical content.
Drake, Patricia S
This paper develops early data from a qualitative longitudinal study of the first cohort of five students making the transition from teaching assistant in secondary school to specialist teacher of secondary mathematics. Data from a second cohort of four women and one man starting in 2003 is less complete, but used as appropriate. Bernstein's work on subject classification frames an argument that this student group navigates simultaneously two mathematics discourses: hard university mathematic...
This article proposes a discrete mathematics course in which games from "The Price Is Right" are used to engage students in a deeper, practical study of discrete mathematics. The games themselves are not the focus of the course; rather, the mathematical principles of the games give motivation for the concepts being taught. The game examples are…
General problem-solving skills are of central importance in school mathematics achievement. Word problems play an important role not just in mathematical education, but in general education as well. Meaningful learning and understanding are basic aspects of all kinds of learning and it is even more important in the case of learning mathematics. In…
Stockero, Shari L.; Peterson, Blake E.; Leatham, Keith R.; Van Zoest, Laura R.
Instruction that meaningfully incorporates students' mathematical thinking is widely valued within the mathematics education community (NCTM 2000; Sherin, Louis, and Mendez 2000; Stein et al. 2008). Although being responsive to student thinking is important, not all student thinking has the same potential to support mathematical learning.…
Su, Hui Fang Huang; Ricci, Frederick A.; Mnatsakanian, Mamikon
A teacher that emphasizes reasoning, logic and validity gives their students access to mathematics as an effective way of practicing critical thinking. All students have the ability to enhance and expand their critical thinking when learning mathematics. Students can develop this ability when confronting mathematical problems, identifying possible…
In this essay, encouraged by the critical examination of mathematics education and mathematics teacher education at the Privilege and Oppression in the Mathematics Preparation of Teacher Educators Conference, the author asks the question: What do I do from a position of power and privilege to interrupt oppression and enable everyone the…
This perfect bound teacher's guide presents techniques and activities to teach mathematics using origami paper folding. Part 1 includes a history of origami, mathematics and origami, and careers using mathematics. Parts 2 and 3 introduce paper-folding concepts and teaching techniques and include suggestions for low-budget paper resources. Part 4…
Risser, Hilary Smith
More than twenty years after the introduction of the first handheld graphing calculator the mathematics community appears to still be struggling with the use of technology in the teaching and learning of mathematics. One major venue for arguments against technology use in the teaching and learning of mathematics is the news magazines of…
Stultz, Sherry L.
Using computers to teach students is not a new idea. Computers have been utilized for educational purposes for over 80 years. However, the effectiveness of these programs for teaching mathematics to students with specific learning disability is unclear. This study was undertaken to determine if computer-assisted instruction was as effective as…
Gallia, Thomas J.
This syllabus describes a course designed for the student interested in teaching mathematics at the secondary level and includes both campus centered activities and a field experience. The professor teaching this class is expected to "bridge the gap" between theory in the college classroom and practice as viewed in the secondary school. The…
Nortvedt, Guri A.; Santos, Leonor; Pinto, Jorge
In this study, we aim to understand the forces driving assessment for learning (AfL) in primary school teaching. By applying a case study design, including the two cases of Norway and Portugal and using mathematics teaching as an example, available policy documents and research reports are analysed to identify the differences and similarities that…
Kelly, Peter; Kotthoff, Hans-Georg
To illustrate similarities and differences in lower secondary level mathematics teaching with higher achievers and thereby explore privileging processes, we contrast a teaching episode in Baden-Württemberg, Germany with one in South West England. These have been selected from a larger study as typical within each region for higher achieving…
Steele, Michael D.; Hillen, Amy F.; Smith, Margaret S.
This study describes teacher learning in a teaching experiment consisting of a content-focused methods course involving the mathematical knowledge for teaching function. Prospective and practicing teachers in the course showed growth in their ability to define function, to provide examples of functions and link them to the definition, in the…
Gu, Feishi; Gu, Lingyuan
This study examines how mathematics teaching research specialists mentor practicing teachers during post-lesson debriefs of a lesson study in China. Based on a systematic, fine-grained analysis of 107 h of videotaped mentoring meetings of 20 groups of teachers and teaching research specialists from different elementary schools, this study reveals…
Huang, Rongjin; Gong, Zikun; Han, Xue
Lesson study (LS) has been practiced in China as an effective way to advance teachers' professional development for decades. This study explores how LS improves teaching that promotes students' understanding. A LS group including didacticians (practice-based teaching research specialist and University-based mathematics educators) and mathematics…
Full Text Available the paper considers teaching features of English speech grammar aspects. The case studies include undergraduates of mathematical specialties. The content of students’ educational activity at the final stage of language teaching is pointed out. Besides the structure of grammar section, a special didactic training unit in which framework mastering grammar phenomena used in oral speech takes place is described.
The purpose of this study was to examine teachers' perceptions of team teaching middle school mathematics in urban schools. The research questions focused on student academic performance and the impact that team teaching may have from the perspective of teachers. The theories of Piaget, Vygotsky, and Bruner formed the theoretical foundation…
Wilkie, Karina J.
This article is based on a project that investigated teachers' knowledge in teaching an important aspect of algebra in the middle years of schooling--functions, relations and joint variation. As part of the project, 105 upper primary teachers were surveyed during their participation in Contemporary Teaching and Learning of Mathematics, a research…
Berlin, Donna F.; White, Arthur L.
This monograph presents a summary of the results of the Wingspread Conference in April, 1991 concerning the viability and future of the concept of integration of mathematics and science teaching and learning. The conference focused on three critical issues: (1) development of definitions of integration and a rationale for integrated teaching and…
Umugiraneza, Odette; Bansilal, Sarah; North, Delia
Teaching approaches and assessment practices are key factors that contribute to the improvement of learner outcomes. The study on which this article is based, explored the methods used by KwaZulu-Natal (KZN) teachers in teaching and assessing mathematics and statistics. An instrument containing closed and open-ended questions was distributed to…
Li, Xia; Liu, Song; DeBey, Mary; McFadden, Karen; Pan, Yue-Juan
In China, preschool curriculum has undergone reform and profound changes. Much remains unknown, however, regarding preschool teachers' teaching beliefs after 30 years of curriculum reform and adaptation. This study aimed to address the issue and investigate teachers' beliefs concerning teaching mathematics. Twelve preschool teachers in China…
Guided by a Foucauldian theorisation, this article explores Graduate Teaching Assistant (GTA) experiences of their work and subjectivity in a neoliberalised higher education environment. By drawing on a research project with GTAs from one UK university, the article argues that GTA work is increasingly shaped by neoliberal reforms. The GTAs…
Albright, Leif; Schnell, Lauren; Reeve, Kenneth F.; Sidener, Tina M.
Stimulus equivalence-based instruction (EBI) was used to teach four, 4-member classes representing functions of behavior to ten graduate students. The classes represented behavior maintained by attention (Class 1), escape (Class 2), access to tangibles (Class 3), and automatic reinforcement (Class 4). Stimuli within each class consisted of a…
Kainzbauer, Astrid; Hunt, Brian
In this paper we describe the efforts of foreign university teachers in graduate schools in Thailand as they incorporate cultural knowledge into their classroom teaching styles and methodology. Through in-depth semi-structured interviews we have gathered qualitative data on the teachers' concerns, mindsets and their proposed solutions. We build up…
Rahmanpour, Muhammad; Ahmadi, Mojtaba; Hatami, Mostafa; Mirzaee, Hamzeh
The present study seeks to evaluate executive strategies in graduate Curriculum of Isfahan University from the point of view of management and teaching-learning strategies. This study is an applied survey. The population comprised BA students and faculty members of the University of Isfahan. In order to do so, 141 professors and 278 students were…
Fenderson, Bruce A
Pathology is an essential course for many students in the biomedical sciences and allied health professions. These students learn the language of pathology and medicine, develop an appreciation for mechanisms of disease, and understand the close relationship between basic research and clinical medicine. We have developed 3 pathology courses to meet the needs of our undergraduates, graduate students, and allied health professionals. Through experience, we have settled on an approach to teaching pathology that takes into account the diverse educational backgrounds of these students. Educational resources such as assigned reading, online homework, lectures, and review sessions are carefully balanced to adjust course difficulty. Common features of our pathology curricula include a web-based computer laboratory and review sessions on the basis of selected pathology images and open-ended study questions. Lectures, computer-guided homework, and review sessions provide the core educational content for undergraduates. Graduate students, using the same computer program and review material, rely more heavily on assigned reading for core educational content. Our experience adapting a pathology curriculum to the needs of divergent groups of students suggests a general strategy for monitoring course difficulty. We hypothesize that course difficulty is proportional to the information density of specific learning resources (eg, lecture or textbook) multiplied by the weight of those learning resources placed on examinations. This formula allows educators to match the difficulty of a course with the educational needs of students, and provides a useful tool for longitudinal studies of curriculum reform.
Barclift, Songhai C; Brown, Elizabeth J; Finnegan, Sean C; Cohen, Elena R; Klink, Kathleen
Background The Teaching Health Center Graduate Medical Education (THCGME) program is an Affordable Care Act funding initiative designed to expand primary care residency training in community-based ambulatory settings. Statute suggests, but does not require, training in underserved settings. Residents who train in underserved settings are more likely to go on to practice in similar settings, and graduates more often than not practice near where they have trained. Objective The objective of this study was to describe and quantify federally designated clinical continuity training sites of the THCGME program. Methods Geographic locations of the training sites were collected and characterized as Health Professional Shortage Area, Medically Underserved Area, Population, or rural areas, and were compared with the distribution of Centers for Medicare and Medicaid Services (CMS)-funded training positions. Results More than half of the teaching health centers (57%) are located in states that are in the 4 quintiles with the lowest CMS-funded resident-to-population ratio. Of the 109 training sites identified, more than 70% are located in federally designated high-need areas. Conclusions The THCGME program is a model that funds residency training in community-based ambulatory settings. Statute suggests, but does not explicitly require, that training take place in underserved settings. Because the majority of the 109 clinical training sites of the 60 funded programs in 2014-2015 are located in federally designated underserved locations, the THCGME program deserves further study as a model to improve primary care distribution into high-need communities.
岩崎, 潔; Kiyosi, Iwasaki
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.
Intrator, Sam; Park, Soyoung; Lit, Ira
This case study is one of five publications from the larger study, "Teaching for a Changing World: The Graduates of Bank Street College of Education." Established in 1989, Midtown West is a New York City public elementary school serving approximately 350 students from kindergarten through grade five. With the support of Tony Alvarado,…
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.
Full Text Available The aim of this study was to reveal the opinions of elementary school pre-service teachers about the usage of educational mathematics games in elementary mathematics teaching. In this study, case study that, one of qualitative research methods, was used. Data were collected by utilizing a semi-structured interview form to these elementary school pre-service teachers and analyzed using by content analysis method. A total of 10 junior pre-service teachers enrolled in undergraduate programs of elementary teaching attended to this research. In conclusion, these pre-service teachers indicated that educational computer games would provide benefits such as making students’ learning more permanent, visualizing concepts, making students love mathematics, learning by entertaining, reinforcing what has been learnt and developing thinking skills. Nevertheless, these elementary school pre-service teachers stated the limitations about educational computer games such as causing addiction and physical damages, being time-consuming, requiring special equipment and software and making class management difficult. Besides, it was revealed that the pre-service teachers demonstrated positive attitudes towards the use of games in courses while that they did not feel themselves competent in terms of application.Key Words: Educational computer games, mathematics teaching, elementary school pre-service teachers
Full Text Available The paper looks at interrelationships between creativity and technology in the teaching and learning of mathematics. It suggests that a proper use of various technologies especially computers in the teaching and learning of mathematics has the potential of helping learners to develop their creativity. The technologies can provide an atmosphere under which mathematical skills can be extended beyond the ability to calculate or reproduce problems and enable learners to investigate, analyse and interpret problems at hand. Furthermore, with computers learners can use an experimental approach to deal with mathematical problems, which can lead to conjecture, pattern finding, examples and counter examples. In fact, if used effectively, computational aids can help in improving learners’ intellectual ability and hence mathematical achievement while fostering the requisite creativity not found in the traditional approach.
Preparing Graduate Students To Teach. A Guide to Programs That Improve Undergraduate Education and Develop Tomorrow's Faculty. From a Comprehensive National Survey of Teaching Assistant Training Programs and Practices.
Lambert, Leo M., Ed.; Tice, Stacey Lane, Ed.
This report describes and documents the state of affairs in preparing graduate students for college and university teaching responsibilities. Chapter 1 summarizes the results of a survey on teacher assistant training and publishing and provides a review of the centrality of the teaching assistantship in graduate education. The publication's two…
Su, Hui Fang Huang " Ricci, Frederick A; Mnatsakanian, Mamikon
A teacher that emphasizes reasoning, logic and validity gives their students access to mathematics as an effective way of practicing critical thinking. All students have the ability to enhance and expand their critical thinking when learning mathematics. Students can develop this ability when confronting mathematical problems, identifying possible solutions and evaluating and justifying their reasons for the results, thereby allowing students to become confident critical thinkers. Critical th...
Morgenroth, Eberhard Friedrich; Arvin, Erik; Vanrolleghem, P.
Mathematical modeling of wastewater treatment processes has become increasingly popular in recent years. To prepare students for their future careers, environmental engineering education should provide students with sufficient background and experiences to understand and apply mathematical models...... efficiently and responsibly. Approaches for introducing mathematical modeling into courses on wastewater treatment engineering are discussed depending on the learning objectives, level of the course and the time available....
Roddick, Cheryl D
This practical resource helps beginning secondary mathematics teachers design a curriculum that is meaningful, differentiate instruction, engage students, meet standards, assess student understanding, and more.
White, La Donna
As of 2001 with the mandates issued under No Child Left Behind, the National Council of Teachers of Mathematics (NCTM) revised its standards to ensure that all students receive a quality mathematics education (NCTM, 2008). The 2009 report from U.S. Department of Education revealed that there is an increase in the number of minority students…
Luria, Sarah R.; Sriraman, Bharath; Kaufman, James C.
Equity is an important element of educational discourses pertaining to mathematics and science education. Creativity is an aspect of the classroom that is often ignored due to curricular constraints and the burden of testing. However mathematics offers avenues to infuse the regular curricula with activities that are thought provoking and require…
Kaplan, Rochelle G.; Patino, Rodrigo A.
Many mainstreamed students with limited English proficiency continue to face the difficulty of learning English as a second language (ESL) while studying mathematics and other content areas framed in the language of native speakers. The difficulty these students often encounter in mathematics classes and their poor performance on subsequent…
Rickard, Laura N.; Wilson, Colette
"Lettuce Learn Math" is an interdisciplinary program that has effectively linked a small-scale agricultural production system to a sixth-grade mathematics and science curriculum. The mathematical concepts and skills, including measurement and geometry, taught in this project met and often exceeded the standards set by New York state for…
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
Flynn, Natalie P.
This study developed a survey from the existing literature in an attempt to illuminate the processes, tools, insights, and events that allow university science and mathematics content experts (Ph.D.'s) unpack their expertise in order to teach develop and teach undergraduate students. A pilot study was conducted at an urban university in order to refine the survey. The study consisted of 72 science or mathematics Ph.D. faculty members that teach at a research-based urban university. Follow-up interviews were conducted with 21 volunteer faculty to further explore their methods and tools for developing and implementing teaching within their discipline. Statistical analysis of the data revealed: faculty that taught while obtaining their Ph.D. were less confident in their ability to teach successful and faculty that received training in teaching believed that students have difficult to change misconceptions and do not commit enough time to their course. Student centered textbooks ranked the highest among tools used to gain teaching strategies followed by grading of exams and assignments for gaining insights into student knowledge and difficulties. Science and mathematics education literature and university provided education session ranked the lowest in rating scale for providing strategies for teaching. The open-ended survey questions were sub-divided and analyzed by the number of years of experience to identify the development of teaching knowledge over time and revealed that teaching became more interactive, less lecture based, and more engaging. As faculty matured and gained experience they became more aware of student misconceptions and difficulties often changing their teaching to eliminate such issues. As confidence levels increase their teaching included more technology-based tools, became more interactive, incorporated problem based activities, and became more flexible. This change occurred when and if faculty members altered their thinking about their
Full Text Available In their description of the mathematical work of teaching, Ball, Bass & Hill (2004 describe the mathematical problem solving that teachers do as they go about their work. In this paper we add to this description through our study of teaching of probability in a grade 8 multilingual classroom in South Africa. We use instances of teaching to highlight the mathematical problem solving that teachers might face as they work with learners’ ideas, both expected and unexpected. We discuss the restructuring of tasks as an inevitable feature of teachers’ work, and argue that in addition to scaling up or scaling down of the task as Ball et al. (2004 describe, restructuring can also entail shifting the mathematical outcomes from those intended. We also point out how well known issues in mathematics education, for example working with learners’ everyday knowledge, and the languages they bring to class, are highlighted by the context of probability, enabling additional insights into the mathematical work of teaching.
This research aims to investigate the enhancement of students' mathematical problem solving through teaching with metacognitive scaffolding approach. This research used a quasi-experimental design with pretest-posttest control. The subjects were pre-service elementary school teachers in a state university in Bandung. In this study, there were two groups: experimental and control groups. The experimental group consists of 60 studentswho acquire teaching mathematicsunder metacognitive scaffolding approach, while the control group consists of 58 studentswho acquire teaching mathematicsunder direct approach. Students were classified into three categories based on the mathematical prior ability, namely high, middle, and low. Data collection instruments consist of mathematical problem solving test instruments. By usingmean difference test, two conclusions of the research:(1) there is a significant difference in the enhancement of mathematical problem solving between the students who attended the course under metacognitive scaffolding approach and students who attended the course under direct approach, and(2) thereis no significant interaction effect of teaching approaches and ability level based on the mathematical prior ability toward enhancement of students' mathematical problem solving.
Charles H. Carlin
Full Text Available In the present feasibility study, e-supervision was used to provide university liaison supervision to SLP graduate students enrolled in student teaching practica. Utilizing a mixed methodology approach, interview and survey data were compared in order to identify similarities and differences between face-to-face and e-supervision and guide future practice. Results showed e-supervised graduate students received adequate supervision, feedback, support, and communication. Further, e-supervision provided additional benefits to supervisors, children on the caseload, and universities. Despite the benefits, disadvantages emerged. Implications for future practice and limitations of the study were identified.
Full Text Available Teacher training has been ongoing task for Cuban pedagogical universities. In this sense, the results of research carried out with the title based teaching problems in the context of School Mathematics in initial teacher training Mathematics are presented. An educational model that systematizes and enriches the theory of teaching Alan Schoenfeld, revealing and argue new components, specified for application in practice a strategy of the same nature is provided. For its development theoretical methods, such as dialectical hermeneutical, analysis and synthesis, structural systemic, modeling, deductive inductive and logical historical, and empirical level survey, interview, observation were used, the educational testing, consultation with specialists and pre experiment, which enabled the collection and analysis of results.
Katherine E. Bishop-Williams
Full Text Available Interdisciplinary (i.e., university-wide programming and disciplinary (i.e., programming open to participants from one college or department teaching development programs for graduate students have been used for many years in higher education. Currently, research on the benefits of these teaching models remains scant in terms of a contextualized understanding, and empirical studies are needed. The purpose of this study was to determine graduate students’ perspectives related to interdisciplinary and disciplinary teaching and learning experiences. Two online surveys were used: a quantitative survey and a qualitative follow-up survey. Three participatory focus groups were also conducted to allow for further in-depth exploration in both an interdisciplinary and disciplinary group setting that represented seven distinct colleges. Statistical and thematic analyses were conducted with survey responses, and thematic analyses were conducted on focus group data. Similar themes emerged from the survey and focus group data identifying perceived benefits of participation in either interdisciplinary or disciplinary teaching development. Respondents’ perceived benefits were related to: (a becoming a better teacher; (b social learning; and (c that while the perceived benefits of the models vary, the outcomes of both experiences are shared. The lived experiences of these graduate students expand the characterization of interdisciplinary and disciplinary programming. This study points to the need for graduate student programs—specifically teaching development offered by educational development units—to provide both interdisciplinary and disciplinary teaching development opportunities that achieve a blend of benefits for learners. Les programmes interdisciplinaires (c’est-à-dire les programmes offerts à l’échelle de l’université et disciplinaires (c’est-à-dire ceux qui sont ouverts aux participants d’un collège ou d’un département de
Natal’ya Yur’evna Gorbunova
Full Text Available We described several aspects of organizing student research work, as well as solving a number of mathematical modeling problems: professionally-oriented, multi-stage, etc. We underlined the importance of their economic content. Samples of using such problems in teaching Mathematics at agricultural university were given. Several questions connected with information material selection and peculiarities of research problems application were described. Purpose. The author aims to show the possibility and necessity of using professionally-oriented problems of mathematical modeling in teaching Mathematics at agricultural university. The subject of analysis is including such problems into educational process. Methodology. The main research method is dialectical method of obtaining knowledge of finding approaches to selection, writing and using mathematical modeling and professionally-oriented problems in educational process; the methodology is study of these methods of obtaining knowledge. Results. As a result of analysis of literature, students opinions, observation of students work, and taking into account personal teaching experience, it is possible to make conclusion about importance of using mathematical modeling problems, as it helps to systemize theoretical knowledge, apply it to practice, raise students study motivation in engineering sphere. Practical implications. Results of the research can be of interest for teachers of Mathematics in preparing Bachelor and Master students of engineering departments of agricultural university both for theoretical research and for modernization of study courses.
Full Text Available The implementation of the new Mathematical Literacy curriculum in South Africa is assuming several different conceptions of mathematics and therefore also being realised through a range of different pedagogies. In this paper I begin from a particular privileging of a critical perspective in mathematics education, which I argue is one (among others of the forces shaping the new South African curriculum reforms, particularly the Mathematical Literacy curriculum. If so, then the case for a specific pedagogy, that of project work, can be shown to support the development of a mathematical literacy from a critical perspective. In this paper a particular set of conceptual tools, principles and practices associated with project work, as developed in the Scandanavian context but researched in South Africa, are elaborated from the perspective of teachers/teaching of mathematical literacy.
Marotta, Sebastian M.; Hargis, Jace
In this article, we present a large list of low-threshold active teaching methods categorized so the instructor can efficiently access and target the deployment of conceptually based lessons. The categories include teaching strategies for lecture on large and small class sizes; student action individually, in pairs, and groups; games; interaction…
Miranda Martins, Dominique
This study sought to understand how a group of pre-service teachers in a combined secondary science and mathematics teaching methods course conceptualized and experienced interdisciplinary approaches to teaching. Although knowing how to plan interdisciplinary activities is an essential teaching practice in Quebec, these pre-service teachers faced many challenges during the process of learning to teach with this approach. By using two interdisciplinary frameworks (Nikitina, 2005; Boix Mansilla & Duraising, 2007), I qualitatively analyzed the development of the pre-service teachers' prior and emerging ideas about interdisciplinarity and their ability to plan interdisciplinary teaching activities. The provincial curriculum and issues related to time greatly shaped students' conceptions about interdisciplinarity in the classroom and constrained their ability to plan for and envision the enactment of interdisciplinary lessons in secondary science and mathematics classes. In addition, images of themselves as content-specialists, self-efficacy beliefs in relation to interdisciplinary teaching, and student learning as a source of teacher motivation emerged as key factors promoting or interrupting the development of interdisciplinary teaching approaches. Examination of these factors highlights the need for teacher-education programs to provide opportunities for pre-service teachers to explore how they see themselves as educators, increase their instructional self-efficacy beliefs, and motivate them to teach in an interdisciplinary fashion. Keywords: interdisciplinary teaching, student-teachers, curriculum, teacher-education program, self-efficacy, motivation.
Jo Ann M. Petancio
Full Text Available This study probed into the lived experiences of the student-teachers as they go through teaching Elementary Mathematics. Apart from Mathematics, these student-teachers who are generalists teach the other seven subjects. This phenomenological study was conducted during the first semester, school year 2017-2018 in Cebu Normal University-Integrated Laboratory School in Cebu City, Philippines. The researchers interviewed twelve student teachers and used Colaizzi’s method of data analysis. Results revealed that the essence of teaching Math from the lens of elementary student teachers is condensed in the following themes: a Emotional mix-up; b Challenging; c Never stop learning and reach out for help; d Success is a joint venture of teacher and student; e Values count; f We are work in progress. The researchers recommend that teacher education institutions may consider revisiting their policies and practices to strengthen the support lent by the supervisor, mentors and staff to the budding teachers; providing supplemental training and coaching towards improving the student teachers’ pedagogical content knowledge in Math; and providing the pre-service teachers with reflective strategies in processing one’s own experiences in teaching the subject. Moreover, since elementary student-teachers teach not only Math but the other subjects as well, the researchers also recommend that further researches may be conducted on topics related on how the teaching of the other subjects influence one’s way of teaching Mathematics.
secondary schools emphasize such points in their teaching. Thus, 50 randomly selected mathematics teachers are filmed in one grade 8 math lesson and the dialogue investigated. The study identifies large variations and many influential components. There seems to be room for improvement. In order to examine...... possibilities to strengthen the presence and role of mathematical points in teaching two intervention studies are conducted. First a focus group of 5 of the original 50 teachers from each school are offered peer coaching by the researcher. This study indicates that different teachers appreciate peer coaching...... be supported in significant changes to a point-oriented mathematics teaching. The teachers emphasized joint planning of study lessons, and they regarded the peer coaching after each of these lessons as valuable. The studies with the two teacher groups indicate different opportunities and challenges...
schools. In this study, few examples of creative lessons in mathematics based ... Felix O. Uwaezuoke, Department of Curriculum Studies and Educational ... ample opportunities to explore the hidden .... Objectives: Finding a value for Pi, hence.
Full Text Available Rapid global technological developments have affected all facets of life, including the teaching and learning of mathematics. This qualitative study was designed to identify the ways in which technology was used and to explore the nature of this use by a group of 52 mathematics student teachers. The participants were pre-service Mathematics students who were enrolled for a Mathematics module at a South African university. The research instruments were an open question and a semi-structured interview schedule. Saxe's framework was used to analyse the data. Some benefits of mathematics software were found to be the provision of different representations, dynamic visualisation of concepts and variation in mathematical situations. It was also found that students used technology more often in their own learning than in their teaching, because the schools did not have many resources. It is recommended that the education department prioritise the provision of specialist mathematics software that can be used to improve learning outcomes in mathematics.
Yolanda Rodríguez Manosalva
Full Text Available This paper will analyze the importance of playfulness as an instrument for learning mathematics, taking into account that the body allows to develop not only motor skills but also intellectual faculties involving high levels of abstraction, such as mathematical operations like addition, subtraction, multiplication and division. The methodology used was action research, through interviews to students, parents and teachers, as well as the systematization of experiences in the classroom by means of a field diary. It was found that traditional –tedious- teaching does not allow students to realize the importance of learning mathematics. It is concluded that it is necessary for the teachers to implement strategies that link playfulness and the body, in order to improve teaching-learning processes, which allows that mathematics do not be considered as something far from reality, but that be granted the status of a knowledge that improves the processes of understanding and reflection, facilitating the solution of practical problems.
Bahjat Hamid Altakhyneh
Full Text Available This study investigated attitudes towards teaching mathematics via mobile learning in open learning systems. The sample of the study consisted of 57 male and female students enrolled in the mathematics course in the department of educational studies at the Arab Open University/ Jordan for the academic year 2016/2017. Results of the study showed that positive student attitudes toward using mobile applications reached 80%. Each of the following scores is ranked as ascending: mathematical thinking (75%, achievement motivation (76%, developing social and emotional skills (77%, and application technology (96%. There was no statistical significance difference (α ≤0.01 between the variable type of general secondary certificate (scientific / arts stream as well as the nature of employment in terms of whether the learner was either an employee or non-employee. In light of results of the study, the researcher recommends using mobile applications in teaching courses of mathematics in open learning systems.
Plunk, Andrew D; Tate, William F; Bierut, Laura J; Grucza, Richard A
Mathematics and science course graduation requirement (CGR) increases in the 1980s and 1990s might have had both intended and unintended consequences. Using logistic regression with Census and American Community Survey (ACS) data ( n = 2,892,444), we modeled CGR exposure on (a) high school dropout, (b) beginning college, and (c) obtaining any college degree. Possible between-groups differences were also assessed. We found that higher CGRs were associated with higher odds to drop out of high school, but results for the college-level outcomes varied by group. Some were less likely to enroll, whereas others who began college were more likely to obtain a degree. Increased high school dropout was consistent across the population, but some potential benefit was also observed, primarily for those reporting Hispanic ethnicity.
Fasni, Nurli; Fatimah, Siti; Yulanda, Syerli
This research aims to achieve some purposes such as: to know whether mathematical problem solving ability of students who have learned mathematics using Multiple Intelligences based teaching model is higher than the student who have learned mathematics using cooperative learning; to know the improvement of the mathematical problem solving ability of the student who have learned mathematics using Multiple Intelligences based teaching model., to know the improvement of the mathematical problem solving ability of the student who have learned mathematics using cooperative learning; to know the attitude of the students to Multiple Intelligences based teaching model. The method employed here is quasi-experiment which is controlled by pre-test and post-test. The population of this research is all of VII grade in SMP Negeri 14 Bandung even-term 2013/2014, later on two classes of it were taken for the samples of this research. A class was taught using Multiple Intelligences based teaching model and the other one was taught using cooperative learning. The data of this research were gotten from the test in mathematical problem solving, scale questionnaire of the student attitudes, and observation. The results show the mathematical problem solving of the students who have learned mathematics using Multiple Intelligences based teaching model learning is higher than the student who have learned mathematics using cooperative learning, the mathematical problem solving ability of the student who have learned mathematics using cooperative learning and Multiple Intelligences based teaching model are in intermediate level, and the students showed the positive attitude in learning mathematics using Multiple Intelligences based teaching model. As for the recommendation for next author, Multiple Intelligences based teaching model can be tested on other subject and other ability.
Mason, Letita Renee
This study examines the leadership efficacy amongst graduates of NCSSM from the classes of 2000--07 as the unit of analysis. How do NCSSM graduates' perceptions of their leadership efficacy align with research on non-cognitive variables as indicators of academic performance using the unit of analysis as a performance outcome? This study is based on the theoretical construct that non-cognitive psychological (also called motivational) factors are core components of leadership self-efficacy, indicative of NCSSM graduates (who had high academic performance and attained STEM degrees). It holds promise for increasing both student interest and diversity in the race to strengthen the STEM pipeline. In this study the Hannah and Avolio (2013) Mind Garden Leadership Efficacy Questionnaire (LEQ) is used. The LEQ is a battery of three instruments designed to assess individual perceptions of personal leadership efficacy across three constructs, via one survey tool. In this mixed-methods analysis, a quantitative phase was conducted to collect the data captured by the Mind Garden Leadership Efficacy Questionnaire. A Post Hoc qualitative analysis was conducted in the second phase of the data analysis, using the Trichotomous-Square Test methodology (with an associated qualitative researcher-designed Inventive Investigative Instrument). The results from the study validated the alternative hypothesis [H1], which proposed that there no are significant differences in the perception of the Leadership Efficacy by the North Carolina School of Science and Mathematics Alumni from the classes of 2000-07 in terms of their overall "Leadership Efficacy" in regards to: Execution or "Leadership Action Efficacy"; Capacity or "Leader Means Efficacy"; and Environment or "Leader Self-Regulation Efficacy" was accepted. The results also led to the development of a new assessment tool called the Mason Leadership Efficacy Model.
Y. A. Perminov
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.
Nepomucena, T. V.; da Silva, A. C.; Jardim, D. F.; da Silva, J. M.
In the face of the reality of teaching Mathematics in Basic Education in Brazil, specially relating teach functions focusing their relevance to the student’s academic development in Basic and Superior Education, this work proposes the use of educational software to help the teaching of functions in Basic Education since the computers and software show as an outstanding option to help the teaching and learning processes. On the other hand, the study also proposes the use of Didactic Transposition as a methodology investigation and research. Along with this survey, some teaching interventions were applied to detect the main difficulties in the teaching process of functions in the Basic Education, analyzing the results obtained along the interventions in a qualitative form. Considering the discussion of the results at the end of the didactic interventions, it was verified that the results obtained were satisfactory.
Savard, Annie; Manuel, Dominic
Statistics is a domain that is taught in Mathematics in all school levels. We suggest a potential in using an interdisciplinary approach with this concept. Thus the development of the understanding of a situation might mean to use both mathematical and statistical reasoning. In this paper, we present two case studies where two middle school…
Hatcher, Sherry L.; Shields, C. Comfort; Wierba, Elizabeth E.; Hatcher-Ross, Juliet L.; Hanley, Steven J.
This study examined extended influences of peer helping courses on graduates' self-reported experiences of interpersonal relationships, communication skills, and ongoing engagement with the training. The 109 participants included 49 college graduates who completed a peer counseling theory course, 47 graduated psychology concentrators who took a…
Knapp, Andrea; Landers, Racheal; Liang, Senfeng; Jefferson, Vetrece
The researchers in this study investigated the impact of mathematics-focused parental involvement on Kindergarten to Grade 8 children and parents as well as factors prompting that impact. Qualitative analysis consisting of parent, child, and teacher interviews and 3-year quantitative testing showed significant improvements in students' mathematics…
Westaway, Lise; Graven, Mellony
This article addresses the question: Why teachers of mathematics have yet to `take up' progressive roles? Drawing on the philosophy of critical realism and its methodological equivalent, social realism, we analyse interview and observation data of four grade 3 teachers, with the view to identifying the mechanisms conditioning the expression of teachers' identities. In so doing, we show how post-apartheid changes in systemic roles of teachers create contradictory tensions for teachers as these bring their own mathematical learning and teaching experiences into contradiction with the new post-apartheid roles they are mandated to enact. We examine how this contradiction, together with beliefs about mathematics, pedagogy and learners, is expressed in the teaching of grade 3 mathematics. We maintain that the complementarity between teachers' beliefs and old systemic roles provides an explanation for why teachers of grade 3 mathematics have yet to `take-up' progressive roles. The implications point to the need for teacher development that creates enablers that lead to changes in classroom practices that align with policy-designated, progressive roles in teaching mathematics.
Ana Dulce Batista dos Santo
Full Text Available Objetivo: Apresentar as estratégias de ensino-aprendizagem do processo de enfermagem utilizadas nos cursos de graduação e pós-graduação. Métodos: Revisão integrativa da literatura, utilizando as bases de dados CINAHL, LILACS e MEDLINE. A busca dos artigos foi realizada através dos descritores controlados Nursing Process; Education, Nursing; Teaching; Education, Nursing, Diploma Programs; Education, Graduate; utilizando o operador boleano AND. A amostra constitui-se de 8 artigos. Resultados: Várias estratégias de ensino-aprendizagem do processo de enfermagem são apontadas, a saber: ferramentas eletrônicas, estudos de caso escritos, aula expositiva e aulas teórico-prática para o ensino de graduação. Entretanto, destaca-se a ausência de estudos referentes ao ensino do processo de enfermagem em nível de pós-graduação. Conclusão: A utilização de metodologias inovadoras e ativas facilitam o processo de aprendizagem, enquanto a abordagem restrita a teoria é fator dificultador.
Full Text Available Information technology has a potential to be the answer to one of Africa’s most pressing problems- providing education to a number of geographically dispersed learners, who currently have to leave their countries for a number of years in order to pursue their studies elsewhere. The School of Nursing at the University of Natal launched an online graduate course in nursing education at the beginning of the year 2000 for the first time as part of a masters degree programme. A number of lessons have been learned from this experience. Firstly, it took too long to arrive at ‘closure’ on discussion of any one particular theme. There seemed to be a perpetual feeling of never “completing” teaching/learning tasks. Ordinarily, in a face-to-face (f2f classroom, a particular theme or topic is scheduled for a particular lecture period. More often than not, whether clarity and/or resolution has been attained, the discussion moves on to the next theme, or topic. This has not been easy to do in computer mediated communication (CMC. The students’ contributions, however, seemed more thought out and more focused than had been the case in the f2f classes. Secondly, the essentiality/importance of structure became apparent very early. After an initial tentative and slow start, once the students felt comfortable with the computer “classroom” , the bulletin board was flooded with messages, necessitating re-thinking the original structure.
Gwele, N S
Information technology has a potential to be the answer to one of Africa's most pressing problems-providing education to a number of geographically dispersed learners, who currently have to leave their countries for a number of years in order to pursue their studies elsewhere. The School of Nursing at the University of Natal launched an online graduate course in nursing education at the beginning of the year 2000 for the first time as part of a masters degree programme. A number of lessons have been learned from this experience. Firstly, it took too long to arrive at 'closure' on discussion of any one particular theme. There seemed to be a perpetual feeling of never "completing" teaching/learning tasks. Ordinarily, in a face-to-face (f2f) classroom, a particular theme or topic is scheduled for a particular lecture period. More often than not, whether clarity and/or resolution has been attained, the discussion moves on to the next theme, or topic. This has not been easy to do in computer mediated communication (CMC). The students' contributions, however, seemed more thought out and more focused than had been the case in the f2f classes. Secondly, the essentiality/importance of structure became apparent very early. After an initial tentative and slow start, once the students felt comfortable with the computer "classroom", the bulletin board was flooded with messages, necessitating re-thinking the original structure.
Mauro De Vita
Full Text Available An interactive whiteboard (IWB is a relatively new tool that provides interesting affordances in the classroom environment, such as multiple visualization and multimedia presentation and ability for movement and animation. These affordances make IWBs an innovative tool with high potential for mathematics instructional environments. IWBs can be used to focus on the development of specific mathematical concepts and to improve mathematical knowledge and understanding. The aim of this paper is to review the existing literature upon the use of interactive whiteboards (IWBs in mathematics classrooms. The reviewed studies offer a wide view of IWBs’ affordances, of the more interesting didactic practices, and of the difficulties of embedding this new technology in the classroom. The capabilities of IWBs to enhance the quality of interaction, and, consequently, to improve conceptual mathematical understanding are broadly recognized. Despite these capabilities, evidence from the studies points to a certain inertia on the part of many teachers to do anything else than use IWBs as large-scale visual blackboards or presentation tools. The emerging view of how to attempt to overcome these obstacles is that there is need for greater attention to the pedagogy associated with IWB use and, more specifically, to stimulate the design of new kinds of learning environments.
Edwards, Timothy I.; Roberson, Clarence E., Jr.
A survey of 470 graduates of the six engineering technology programs at Wake Technical Institute--Architectural, Chemical, Civil Engineering, Computer, Electronic Engineering, and Industrial Engineering Technologies--and 227 of their employers was conducted in October, 1979, to determine the science and mathematics topics most needed by…
Alexander, Quentin R.; Hermann, Mary A.
In this phenomenological investigation we used qualitative research methodology to examine the experiences of 8 African American women in science, technology, engineering, and mathematics (STEM) graduate programs at 1 predominantly White university (PWU) in the South. Much of the current research in this area uses quantitative methods and only…
O'Neill, Geraldine; McNamara, Martin
A systematic approach to the training of graduate teaching assistants (GTAs) is required to meet the challenges posed by growing numbers of undergraduate and graduate students. At University College Dublin, educational developers and academic staff across six schools collaborated on the design and phased implementation of context-specific GTA…
O'Loughlin, Valerie Dean; Kearns, Katherine; Sherwood-Laughlin, Catherine; Robinson, Jennifer Meta
This study examines and documents graduate pedagogy courses offered at a large Midwestern research university. Thirty-three graduate pedagogy course instructors from 32 departments (a majority of those offering courses) completed an online survey. We report on enrollment demographics, preparation of faculty to teach such a course, and how a…
Dailson Evangelista Costa
Full Text Available This article presents one of the researches carried out by the UFT Institutional Scholarship Program of Initiation to Teaching (PIBID. The topic addressed is about the teaching of plane geometry through Geoplano. We defend in this article, the idea that the teaching of mathematics using concrete or manipulatives materials becomes a possibility for the teaching. The Geoplano enables students to develop a better visual perception of geometric shapes facilitating the construction of certain problem situations, prompting students to investigate them, to solve them, and to engage in them constantly in the process. The perspective of the development of these activities is that one does not need to introduce a theme starting from the theory, but also from certain practical problems. In this sense, besides turning the teaching of math more "fun", such perspective will provide the learner the opportunity to experience situations different from the usual "boring lectures" thus contributing to the learning of mathematical knowledge. The proposal is to use the Rectangle Geoplano for teaching mathematical content creating new scenarios in the school environment, prioritizing research. We highlight some results obtained with the application of Geoplano in a public school, and the motivation that students showed in their use in math classes
Chiel, Hillel J.; McManus, Jeffrey M.; Shaw, Kendrick M.
We describe the development of a course to teach modeling and mathematical analysis skills to students of biology and to teach biology to students with strong backgrounds in mathematics, physics, or engineering. The two groups of students have different ways of learning material and often have strong negative feelings toward the area of knowledge…
In this article, the author provides results from a 3-year, longitudinal study that examined two novice bilingual teachers' mathematics teaching practices and their professional opportunities to learn to teach. Primary data sources included videotaped mathematics lessons, teacher interviews, and field notes of their teacher preparation methods…
Llinares, Salvador; Valls, Julia
This study explores how preservice primary teachers became engaged in meaning-making mathematics teaching when participating in online discussions within learning environments integrating video-clips of mathematics teaching. We identified different modes of participation in the online discussions and different levels of knowledge-building. The…
Johnson, Heather Lynn; Blume, Glendon W.; Shimizu, Jeanne K.; Graysay, Duane; Konnova, Svetlana
To contribute to an understanding of the nature of teachers' mathematical knowledge and its role in teaching, the case study reported in this article investigated a teacher's conception of a metamathematical concept, definition, and her use of examples in doing and teaching mathematics. Using an enactivist perspective on mathematical…
Japanese Pupils’ Attribution of their Perceived Mathematics Performance and the Relationships Between their Attribution of Mathematics Performance and their Affective Attitudes Promoted by Different Teaching Methods
Full Text Available This research used a questionnaire survey to explore the relationship between pupils’ attribution of their perceived mathematics performance and their affective attitudes towards mathematics learning as promoted by the different teaching methods they were exposed to in their mathematics classes. Both 5th and 8th graders attributed their success in learning mathematics to effort, although support from the teacher and support at home were also perceived as important factors in their success. The 5th graders and 8th graders overall gave effort-based attributions in the case of failure, while for 5th graders, ability was regarded as being as important as effort, in attributing failure in mathematics learning. Pupils who attributed their success in mathematics learning to effort, support at school and home, preferred teacher explanation and reading a textbook as learning strategies, while those attributing it to their ability preferred Individual work. Where pupils attributed success to luck, this seemed to have a negative effect on their affective attitudes towards mathematics learning as promoted by different teaching methods, while attributing failure to luck seemed to have positive effect. Attributing failure to poor teaching seemed to have a negative effect on their perception of teacher explanation. The relationships between pupil effort or ability based attributions of failure and their preference for different teaching methods were not clear. Adopting various teaching methods in mathematics classes would seem to support pupils who have different attribution styles.
Schmidt, Maria Christina Secher; Nissen, Stine Karen; Tonnesen, Pia Beck
The paper presents the initial constructs of a study being carried out within the Danish public school (primary education) during the fall of 2015. It is based on a substudy conducted in connection with a study of the Early Mathematics Intervention Program for Marginal Groups in Denmark (TMTM i.e....... The methodology forms the basis for a qualitative approach toward gaining insight into the affective domain, which contributes to a field of research significantly dominated by quantitative approaches........e. Tidlig Matematikindsats Til Marginalgrupper). The 12-week intervention was implemented by 82 mathematics teachers in 41 schools in 31 different Danish municipalities. The presentation focuses on the development of a methodology aimed at capturing young students’ voices and views on mathematics...
Hilton, C.; Houssart, J.
We draw on analysis of assignments by primary teachers as part of the assessment for the Mathematics Specialist Teachers programme (MaST). In the assignment teachers are asked to work on some mathematics themselves, write up the mathematical part of their work then write about how this experience has impacted on their practice as a primary teacher. We focus first on case studies of teachers who included algebraic work in the first part of their assignments and look at what they say about the ...
Martínez-Sierra, Gustavo; Miranda-Tirado, Marisa
This paper reports a qualitative research that identifies Mexican high school students' social representations of mathematics. For this purpose, the social representations of 'mathematics', 'learning mathematics' and 'teaching mathematics' were identified in a group of 50 students. Focus group interviews were carried out in order to obtain the data. The constant comparative style was the strategy used for the data analysis because it allowed the categories to emerge from the data. The students' social representations are: (A) Mathematics is…(1) important for daily life, (2) important for careers and for life, (3) important because it is in everything that surrounds us, (4) a way to solve problems of daily life, (5) calculations and operations with numbers, (6) complex and difficult, (7) exact and (6) a subject that develops thinking skills; (B) To learn mathematics is…(1) to possess knowledge to solve problems, (2) to be able to solve everyday problems, (3) to be able to make calculations and operations, and (4) to think logically to be able to solve problems; and (C) To teach mathematics is…(1) to transmit knowledge, (2) to know to share it, (3) to transmit the reasoning ability, and (4) to show how to solve problems.
Full Text Available Contemporary theories of teaching and learning mathematics emphasise the importance of learner’s active participation in the teaching process, in which discovery and logical reasoning lead to the construction of student’s knowledge. In this form of teaching, it is important to detect students’ misunderstandings and errors that can occur during learning. Uncovered tacit and false conceptions of students’ knowledge can greatly contribute to the opposite effect in the construction of knowledge. In teaching mathematics, there are many situations which leave students with ambiguities and misunderstandings, and create an impression in children that teaching of mathematics and mathematical knowledge itself is something that is not possible. Discussion and cognitive conflict are methods which have their starting point in the theory of constructivism. The aim of our study has been to determine whether application of the method of discussion and cognitive conflict in learning to divide decimal numbers leads to the enhancement of student’s procedural knowledge and conceptual knowledge about the division of decimal numbers. Longitudinally, we monitored two groups of 117 pupils of the fifth grade. In the first group, which was taught according to the guidelines of contemporary mathematics education, students engaged in discussion, discovering their misunderstandings and errors, and the cognitive conflict resulted in correct concepts. The second group of students were taught traditionally, learning the procedure and then practicing it. The paper presents a descriptive analysis of the process of teaching and quantitative analysis of the performance based on the comparison of conceptual and procedural knowledge of both groups. Results of our work show that the application of contemporary methods of discussion and cognitive conflict affects the increase of procedural and conceptual knowledge of the division of decimal numbers.
Mungure, Daudi Mika
This paper explored the preparation and organization of teaching practice exercise to prospective science and mathematics teachers in Tanzania teachers college specifically Morogoro Teachers' College toward improving teaching profession. Due to the challenges stated by different scholars on preparation and organization of teaching practice…
Wieman, Carl; Gilbert, Sarah
We have created an inventory to characterize the teaching practices used in science and mathematics courses. This inventory can aid instructors and departments in reflecting on their teaching. It has been tested with several hundred university instructors and courses from mathematics and four science disciplines. Most instructors complete the inventory in 10 min or less, and the results allow meaningful comparisons of the teaching used for the different courses and instructors within a department and across different departments. We also show how the inventory results can be used to gauge the extent of use of research-based teaching practices, and we illustrate this with the inventory results for five departments. These results show the high degree of discrimination provided by the inventory, as well as its effectiveness in tracking the increase in the use of research-based teaching practices. © 2014 C. Wieman and S. Gilbert. CBE—Life Sciences Education © 2014 The American Society for Cell Biology. This article is distributed by The American Society for Cell Biology under license from the author(s). It is available to the public under an Attribution–Noncommercial–Share Alike 3.0 Unported Creative Commons License (http://creativecommons.org/licenses/by-nc-sa/3.0).
Mesa, Vilma; Griffiths, Brett
Drawing on data from interviews with mathematics faculty in three different types of undergraduate institutions and using Rabardel's model of instrument use (Verillon & Rabardel "1995"), we describe three ways textbooks mediate college faculty work regarding instruction. The model anticipates epistemic and pragmatic mediations between the…
Getting the right answers in maths is only half the problem. Understanding why what you’re doing works is the part that often stumps students and teachers alike. This book informs existing and trainee teachers how and why popular algorithms and mathematical properties work, and how they make sense.
Schmidt, Karsten; Kohler, Anke
The Matrix Algebra portion of the intermediate mathematics course at the Schmalkalden University Faculty of Business and Economics has been moved from a traditional classroom setting to a technology-based setting in the PC lab. A Computer Algebra System license was acquired that also allows its use on the students' own PCs. A survey was carried…
Getenet, Seyum Tekeher
The technological pedagogical content knowledge framework is increasingly in use by educational technology researcher as a generic description of the knowledge requirements for teachers using technology in all subjects. This study describes the development of a mathematics specific variety of the technological pedagogical content knowledge…
Aguirre, Julia M.; Zavala, Maria del Rosario
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…
Ghousseini, Hala; Beasley, Heather; Lord, Sarah
In this paper, we integrate a set of theoretical considerations that together serve as a model for investigating how high-leverage practices could be generative of teacher learning. We use the context of rehearsals to investigate how the use of a specified question sequence aimed at eliciting student mathematical thinking can afford opportunities…
The importance of mathematical visual images is indicated by the introductory paragraph in the Statistics and Probability content strand of the Australian Curriculum, which draws attention to the importance of learners developing skills to analyse and draw inferences from data and "represent, summarise and interpret data and undertake…
Lin, Kuen-Yi; Williams, P. John
This study applies the theory of planned behavior as a basis for exploring the impact of knowledge, values, subjective norms, perceived behavioral controls, and attitudes on the behavioral intention toward science, technology, engineering, and mathematics (STEM) education among Taiwanese preservice science teachers. Questionnaires (N = 139)…
Gómez-Zermeño, Marcela; Franco-Gutiérrez, Héctor
Dropping out from the school system at High School level has been a problem for several years; high levels of mathematics' failing have been a recurring situation. This paper discusses how academic virtual counseling might be a tool to help students in math class. The methodological approach is based in the non-experimental, longitudinal model…
In this descriptive study, the goal was to determine teachers' preferred pedagogical methods and techniques in mathematics. Qualitative research methods were employed, primarily case studies. 40 teachers were randomly chosen from various secondary schools in Kirsehir during the 2015-2016 educational terms, and data were gathered via…
South African Journal of Education, Volume 38, Number 2, May 2018. 1 ... Second, the global need for STEM-related skills in careers and everyday life is rising, ... an economic factor in developing countries, emerging economies, and in long ... mathematics to guide policy. .... security, time for family, job transferability); social.
Moy, Robert; Peverly, Stephen T.
China and other East Asian countries (Japan, South Korea, Taiwan) have consistently outperformed the United States and other Western countries in mathematics achievement. As part of a Fulbright-sponsored trip to China in the Summer of 2002, a New York City public school teacher and a trainer of school psychologists offer their impressions of some…
Thomas, Mike; Yoon, Caroline
This paper describes part of an international project considering graphical construction of antiderivative functions in the secondary mathematics classroom. We use Schoenfeld's resources, orientations, and goals (ROGs) framework to analyse the decisions made by a teacher, Adam, during a lesson on graphical antiderivatives. We present details…
Rule, Audrey C., Ed.; McIntyre, Sandra, Ed.; Ranous, Meg, Ed.
Twenty-three mathematics activities that use environmental print materials are presented, along with two activities that focus on music education, one that highlights history concepts, and five science activities. The environmental print materials are words and images cut from food or other product packaging and mounted on mat board cards.…
Rogers, P. J.
Describes some boisterous physical games which might be useful in promoting learning, especially in elementary mathematics classes with the socially disadvantaged. Provides a discussion of Jerome Bruner's theory which undergirds such activities. Presents results of an experiment using these methods with 160 children. Finds the case for using play…
and facts using models or paper cutting and folding techniques. ❖ It helps the students to build interest and confidence in learning the subject. ❖ The laboratory provides opportunity to exhibit the relatedness of mathematical concepts with everyday life. ❖ It provides greater scope for individual participation in the process of ...
Graciela Aluizio Reali
Full Text Available Much has been thought through about how to make the teaching and learning of scientific content more significant in order to collaborate with education. In this sense, it is up to the teacher to know aspects of human behavior to mediate and facilitate the interpretation of incoming information to students so that this information is transformed into knowledge. Therefore, the educator has seen its role as a transmitter of information turning into a facilitator of the transformation of this information into knowledge, a process that depends on both the teacher and the student. Thus, this work presents some aspects related to the teaching and learning of mathematics, highlighting the use of information and communication technologies (ICTs as mediating and helpful tools of learning. It also presents a virtual learning environment, Moodle, which comprehends Geogebra software, presented in a WebQuest so that together they may be used in the future for the teaching and learning of mathematics in Ourinhos- Fatec Technology College, São Paulo- - Brazil. It is expected, by means of this work, to contribute to discussions and reflections on some emblematic issues of this new practice and mode, as well as disseminate and encourage the use of Geogebra application.
Many elementary mathematics teachers hold beliefs about the teaching and learning of mathematics and enact practices that are not aligned with the recommendations of reform efforts in the field of mathematics education (Stigler & Hiebert, 2009). For standards-based reform to gain any significant success, many teachers will have to alter the…
Stripling, Christopher T.; Roberts, T. Grady
Teachers who are efficacious persevere through challenges in the learning environment and put forth more effort in designing learning activities. The purpose of this study was to determine the effects of mathematics teaching and integration strategies (MTIS) on preservice agricultural teachers' personal mathematics efficacy, mathematics teaching…
Furner, Joseph M.
Today, being confident and having a sound understanding of mathematics is critical in an age of STEM. Teachers must play in important role in seeing that all students display their confidence in their ability to do mathematics. This paper explains the process of using bibliotherapy when teaching mathematics to address both the math anxious or the…
Pepin , Birgit; Xu , Binyan; Trouche , Luc; Wang , Chongyang
International audience; In order to develop a deeper understanding of mathematics teaching expertise, in this study we use the Documentational Approach to Didactics to explore the resource systems of three Chinese mathematics Bexpert^ teachers. Exploiting theWestern and Eastern literature we examine the notion of Bmathematics teaching expertise^, as it is perceived in the East and the West. The data consist of two rounds of in-depth interviews, observations and teachers’ representations of th...
Demir, Mevhibe Kobak; Gür, Hülya
This study was aimed to develop a valid and reliable perception scale in order to determine the perceptions of pre-service teachers towards the use of WebQuest in mathematics teaching. The study was conducted with 115 junior and senior pre-service teachers at Balikesir University's Faculty of Education, Computer Education and Instructional…
Cárcamo Bahamonde, Andrea Dorila; Fortuny Aymemí, Josep Maria; Gómez i Urgellés, Joan Vicenç
In this article we present a didactic proposal for teaching linear algebra based on two compatible theoretical models: emergent models and mathematical modelling. This proposal begins with a problematic situation related to the creation and use of secure passwords, which leads students toward the construction of the concepts of spanning set and…
Oonk, W.; Verloop, N.; Gravemeijer, K.P.E.
This study concentrated on the theory–practice problem in mathematics teacher education. We examined 13 student teachers’ use of theory when they reflected on teaching practice in a class specifically designed to optimize the chance for theory use. We developed a Reflection Analysis Instrument with
Park, Mi-Hwa; Dimitrov, Dimiter M.; Patterson, Lynn G.; Park, Do-Yong
The purpose of this study was to examine beliefs of early childhood teachers about their readiness for teaching science, technology, engineering, and mathematics, with a focus on testing for heterogeneity of such beliefs and differential effects of teacher-related factors. The results from latent class analysis of survey data revealed two latent…
Nejem, Khamis Mousa; Muhanna, Waffa
The purpose of the study is to investigate the obstacles of teaching mathematics faced by the class teachers in Jordan. To achieve this purpose a study sample of 192 male and female class teachers was selected randomly from government schools. The instrument of the study was a questionnaire used to investigate the obstacles of mathematics…
Masal, Ercan; Koc, Mustafa; Colak, Tugba Seda; Takunyaci, Mithat
The main purpose of this research is to analyse whether there is a difference or not in levels of having psychological symptoms of the students of undergraduate program in elementary mathematics teaching. Another aim of the research is to determine whether the levels of having psychological symptoms of the students differ or not regarding various…
Belgheis, Soheila; Kamalludeen, Rosemaliza
This quantitative study examined Malaysian teachers' perception towards using GeoGebra in mathematics teaching. The relationship between teachers' Perceived Current Competencies (PCC) of GeoGebra, and Intention to Use (IU) it as well as the difference between male and female teachers and between users and non-users of GeoGebra were investigated.…
Aydogdu, Bülent; Peker, Murat
The aim of this research was to examine science and mathematics teaching efficacy beliefs of pre-school teachers in terms of some variables. The sample of the study was comprised of 191 pre-school teachers working in a city in Aegean Region of Turkey. Since it attempted to define self-efficacy beliefs of pre-school teachers toward science and…
Zikre, Nuraini Mohd; Eu, Leong Kwan
Teachers play a vital role in nurturing and shaping learners in school. Extensive researches have been conducted showing that beliefs in the nature of teaching and learning held by the teachers will affect their actual classroom practices. In Malaysia, not many studies have been done on mathematics teacher's beliefs at the national level. The…
Aldhafri, Said; Alrajhi, Marwa
The current study explored the effects of two teaching styles, authoritative and authoritarian, on students' mathematics motivation. The two motivational constructs examined were intrinsic and extrinsic motivation. Data were collected from 425 Omani 8th grade students (males = 202/females = 223, mean age = 13.44, SD = 0.79). Through two…
In this paper I shall discuss data from a study on Colombian mathematics teachers' conceptions of their own teaching practices of beginning algebra, which led to the development of a theoretical model of teachers' thought structures designed as a thinking tool at the initial stage of the study. With a focus on the perspectives of teachers, the…
Cigas, John; Hsin, Wen-Jung
Visual logic puzzles provide a fertile environment for teaching multiple topics in discrete mathematics. Many puzzles can be solved by the repeated application of a small, finite set of strategies. Explicitly reasoning from a strategy to a new puzzle state illustrates theorems, proofs, and logic principles. These provide valuable, concrete…
Zhou, Zheng; Peverly, Stephen T.; Xin, Tao
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…
Mehrotra, Alka; Koul, Anjni
This article focuses on the importance of activity-based teaching in understanding the mole concept and the vital role of basic mathematical operations. It describes needs-based training for teachers in a professional development programme in India. Analysis of test results before and after the training indicates that teachers improved their…
Aunzo, Rodulfo T., Jr.
A lot of teachers are complaining that students are "texting" inside the classroom even during class hours. With this, this research study "on students' perception before the integration and the students' attitude after the integration of text messaging inside the classroom during the mathematics teaching-learning process was…
Tajuddin, Nor'ain Mohd; Tarmizi, Rohani Ahmad; Konting, Mohd Majid; Ali, Wan Zah Wan
This quasi-experimental study with non-equivalent control group post-test only design was conducted to investigate the effects of using graphing calculators in mathematics teaching and learning on Form Four Malaysian secondary school students' performance and their meta-cognitive awareness level. Graphing calculator strategy refers to the use of…
The Teachers First initiative is a grass-roots cluster-model approach for bringing together primary and secondary teachers and school principals: to analyse student performance data; design and practice activities and assessment tools; and promote teaching practices that address students' learning difficulties in mathematics. The balance of both…
Bonner, Emily P.; Adams, Thomasenia L.
In this grounded theory case study, four interconnected, foundational cornerstones of culturally responsive mathematics teaching (CRMT), communication, knowledge, trust/relationships, and constant reflection/revision, were systematically unearthed to develop an initial working theory of CRMT that directly informs classroom practice. These…
Winheller, Sandra; Hattie, John A.; Brown, Gavin T. L.
This study used data from the Assessment Tools for Teaching and Learning project, which involved data on the academic performance of more than 90,000 New Zealand students in six subjects (i.e. reading, writing and mathematics in two languages). Two sub-samples of this dataset were included for detailed re-analysis to test the general applicability…
Magee, Paula A.; Flessner, Ryan
This study examines the effect of promoting inquiry-based teaching (IBT) through collaboration between a science methods course and mathematics methods course in an elementary teacher education program. During the collaboration, preservice elementary teacher (PST) candidates experienced 3 different types of inquiry as a way to foster increased…
The continuing gap in achievement between traditionally underserved students (students of color, English learners, and poor children) and their middle-class white peers, however, has provoked questions of the effectiveness of current mathematics teaching practices for meeting the needs of these students.
Somakim; Suharman, Andi; Madang, Kodri; Taufiq
This research aims to develop valid and practical teaching materials for mathematics and science lesson PISA-based for junior high school students and to determine potential effects on students in scientific activity. Subjects of this study were students of Junior High School 9 Palembang (SMP Negeri 9 Palembang). The method used in this study is…
Wilson, Roosevelt L.
Providing practitioners with synopses, illustrations based on classroom experiences, and research findings, this article analyzes the learning models of Jean Piaget, Robert Gagne, Robert Karplus, David Ausubel, and Jerome Bruner in terms of the implications for teaching junior high school mathematics. (JC)
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…
Qohar, Abdul; Sumarmo, Utari
This paper presents the findings from a posttest experiment control group design by using reciprocal teaching, conducted in Indonesia University of Education to investigate students' ability in mathematical communication and self regulated learning. Subject of the study were 254 of 9th grade students from three junior high schools of high, medium,…
Maryono; Sutawidjaja, Akbar; Subanji; Irawati, Santi
This study aims to describe the implementation of pedagogical content knowledge (PCK) of mathematics teachers in the teaching practice of the material system of linear equations of two variables (SLETV). The approach used is a qualitative case study. The main instrument is the researchers themselves and the supporting instruments is a vignette…