Characterizing The Pedagogical Content Knowledge Of Pre Service Secondary Mathematics Teachers

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Characterizing the Pedagogical Content Knowledge of Pre-service Secondary Mathematics Teachers

Author : Wendy A. O'Hanlon
Publisher :
ISBN 13 : 9781267037244
Total Pages : 706 pages
Book Rating : 4.0/5 (372 download)

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Book Synopsis Characterizing the Pedagogical Content Knowledge of Pre-service Secondary Mathematics Teachers by : Wendy A. O'Hanlon

Download or read book Characterizing the Pedagogical Content Knowledge of Pre-service Secondary Mathematics Teachers written by Wendy A. O'Hanlon and published by . This book was released on 2010 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: NCTM (2000) states "teachers need to know and use mathematics for teaching that combines mathematical knowledge and pedagogical knowledge" (p. 370). Unfortunately, "teacher education across the 20th century has consistently been severed by a persistent divide between subject matter and pedagogy" (Ball & Bass, 2000, p. 85). The need for pedagogical content knowledge, and lack of attention paid to it, begs for research on its status and development within teachers. Understanding the pedagogical content knowledge of pre-service teachers is essential to informing and improving teacher preparation programs. The researcher in this study documented, tracked, and characterized pre-service teachers' pedagogical content knowledge in terms of knowledge of instruction and knowledge of student learning as they completed their senior-year mathematics methods courses and student teaching. The study employed a rubric (O'Hanlon, 2009) that measured various constructs of pedagogical content knowledge. The methods employed provided insights into the pedagogical content knowledge of pre-service teachers, including ways to determine and characterize pedagogical content knowledge. The results provided evidence that there is a difference between the pedagogical content knowledge that the pre-service secondary mathematics teachers displayed in terms of the constructs of knowledge of instruction and the constructs of knowledge of student learning. Further, these differences were evident to varying degrees on the different class assignments. Following and documenting the pre-service teachers' pedagogical content knowledge throughout the class assignments in the study produced a characterization of their pedagogical content knowledge throughout the final year of a four-year secondary mathematics education program. The details and insight found in the study have substantial implications for the broader research community and raise questions that need to be examined in future studies.

Beyond the Mathematics Major

Author : Steven R. Turner
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.7/5 (86 download)

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Book Synopsis Beyond the Mathematics Major by : Steven R. Turner

Download or read book Beyond the Mathematics Major written by Steven R. Turner and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this study was to identify and characterize the pedagogical content knowledge (PCK) held by secondary mathematics preservice teachers. Task-based interviews were conducted to determine whether evidence of PCK exists in preservice teachers and, if so, what form that evidence took. Participants included preservice teachers near the end of their coursework and mathematics majors, whose experience ranged from having completed the calculus sequence to their first year in graduate school. Some experienced teachers were also included, allowing a comparison of their knowledge with the other groups. In this study I seek to gain a better understanding of the characteristics of pedagogical content knowledge exhibited by a group of pre-service secondary mathematics teachers.

Mathematical Knowledge in Teaching

Author : Tim Rowland
Publisher : Springer Science & Business Media
ISBN 13 : 904819766X
Total Pages : 300 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Mathematical Knowledge in Teaching by : Tim Rowland

Download or read book Mathematical Knowledge in Teaching written by Tim Rowland and published by Springer Science & Business Media. This book was released on 2011-01-06 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The quality of primary and secondary school mathematics teaching is generally agreed to depend crucially on the subject-related knowledge of the teacher. However, there is increasing recognition that effective teaching calls for distinctive forms of subject-related knowledge and thinking. Thus, established ways of conceptualizing, developing and assessing mathematical knowledge for teaching may be less than adequate. These are important issues for policy and practice because of longstanding difficulties in recruiting teachers who are confident and conventionally well-qualified in mathematics, and because of rising concern that teaching of the subject has not adapted sufficiently. The issues to be examined in Mathematical Knowledge in Teaching are of considerable significance in addressing global aspirations to raise standards of teaching and learning in mathematics by developing more effective approaches to characterizing, assessing and developing mathematical knowledge for teaching.

Exposing Pre-service Secondary Mathematics Teachers Ḱnowledge Through New Research Design Methodology

Author : Tetyana Berezovski
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (112 download)

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Book Synopsis Exposing Pre-service Secondary Mathematics Teachers Ḱnowledge Through New Research Design Methodology by : Tetyana Berezovski

Download or read book Exposing Pre-service Secondary Mathematics Teachers Ḱnowledge Through New Research Design Methodology written by Tetyana Berezovski and published by . This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study is an extension to the ongoing research on secondary mathematics teachers ḱnowledge. This study focused on the concepts of logarithms and logarithmic functions. Several research studies have confirmed that high-school and undergraduate students have a very poor knowledge of logarithms and logarithmic functions. One of the possible reasons for students' difficulties could be an insufficient teachers' knowledge of this subject domain. As of yet, there has not been research into teachers' knowledge of logarithms. This study was an attempt to fill this gap. The deeper understanding of teachers' knowledge, particularly subject matter content knowledge and related pedagogical skills, leads towards improvement of instructional approaches for more effective teacher training. The questions posed in this study are: What do the designed tasks reveal about the nature of teachers' knowledge? What can be seen as the relationship between pre-service secondary mathematics teachers' subject matter knowledge and pedagogical content knowledge? To what extent are these tasks effective and useful as data collection tools for research in mathematics education? This study identified that pre-service teachers are aware of possible difficulties of teaching or learning the concepts of logarithms and logarithmic functions. However, their insufficient subject matter content knowledge disallowed participants to explain why the situations prompted by their own questions were indeed problematic and important. On the whole, the pre-service teachers' displayed a relatively weak content knowledge of logarithms and logarithmic functions, exemplified by weak subject matter knowledge and related pedagogical content knowledge. Another goal of this research was to determine the effectiveness of the research methodology developed and used in this study. I designed a unique research task, called the Job Interview, and utilized another research task, known as the Math Play. These activities allowed me to investigate pre-service teachers' knowledge from many different sources that yielded very diverse information about the participants' knowledge. Also, these tasks proved to be important learning activities. They allowed pre-service teachers to re-examine high school mathematics content and reflect on their practice, while keeping in focus students' meaningful learning.

Analysis of Content and Pedagogical Content Knowledge in Secondary Mathematics Teachers' Preparation Programs

Author : Angela Dorsey
Publisher :
ISBN 13 :
Total Pages : 179 pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Analysis of Content and Pedagogical Content Knowledge in Secondary Mathematics Teachers' Preparation Programs by : Angela Dorsey

Download or read book Analysis of Content and Pedagogical Content Knowledge in Secondary Mathematics Teachers' Preparation Programs written by Angela Dorsey and published by . This book was released on 2018 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: Previous research focused on characteristics of effective teachers, teacher recruitment or new pathways to teaching (Ball & Forzani, 2009; Ronfeldt et. al., 2014). However, there is a gap in the research regarding the best path to prepare secondary math teachers. Universities create a customized path of preparation based on their beliefs within the scope of a set of standards given by organizations such as the National Council for Teachers of Mathematics or National Council for Accreditation of Teacher Education. Further research supports the necessity for both content and pedagogical knowledge (Ball, 2000; Graham & Fennell, 2001; NCATE, 2010; Thames & Ball, 2010). Therefore, the purpose of this qualitative case study pursues to increase the research by uncovering perceptions of secondary math teacher preparation with the standards, content knowledge, and content pedagogical knowledge. The study included two universities' programs to gain awareness as to the interpretations of novice teachers, cooperating teachers, and University professors of the pre-service training program used to prepare future secondary mathematics educators. The findings suggest: while only the Mathematics Education Professor at both Universities were the only study participants to have a vast knowledge of the standards it did not seem to impede on the overall preparation of the novice teacher. Novice and Cooperating teachers lacked the vision for the purpose and value of upper level math classes required for the degree. Both Novice and Cooperating Teachers wanted an increase in opportunities for real-world content pedagogical situations along with differentiation, co-teaching, and Special Education. Novice teachers acknowledged the need for relationships with University professors and peers in their path toward preparation. Lastly, Mathematics Education Professors stated value in making connections between courses and research to high school math. Furthermore, the finding suggest for teacher preparation program: to prepare secondary math teachers for the current culture of mathematics education, content and pedagogical courses should not be separated and a push to increase program enrollment should be a priority.

Exploring the Mathematical Education of Teachers Using TEDS-M Data

Author : Maria Teresa Tatto
Publisher : Springer
ISBN 13 : 3319921444
Total Pages : 589 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Exploring the Mathematical Education of Teachers Using TEDS-M Data by : Maria Teresa Tatto

Download or read book Exploring the Mathematical Education of Teachers Using TEDS-M Data written by Maria Teresa Tatto and published by Springer. This book was released on 2018-08-16 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses the publicly available TEDS-M data to answer such questions as: How does teacher education contribute to the learning outcomes of future teachers? Are there programs that are more successful than others in helping teachers learn to teach mathematics? How does the local and national policy environment contribute to teacher education outcomes? It invites readers to explore these questions across a large number of international settings. The importance of preparing future mathematics teachers has become a priority across many nations. Across the globe nations have allocated resources and expertise to this endeavour. Yet in spite of the importance accorded to teacher education not much is known about different approaches to preparing knowledgeable teachers and whether these approaches do in fact achieve their purpose. The Mathematics Teacher Education and Development Study (TEDS-M) is the first, and to date the only, cross-national study using scientific and representative samples to provide empirical data on the knowledge that future mathematics teachers of primary and secondary school acquire in their teacher education programs. The study addresses the central importance of teacher knowledge in learning to teach mathematics by examining variation in the nature and influence of teacher education programs within and across countries. The study collected data on teacher education programs structure, curriculum and opportunities to learn, on teacher educators’ characteristics and beliefs, and on future mathematics teachers’ individual characteristics, beliefs, and mathematics and pedagogical knowledge across 17 countries providing a unique opportunity to explore enduring questions in the field.

Research Advances in the Mathematical Education of Pre-service Elementary Teachers

Author : Gabriel J. Stylianides
Publisher : Springer
ISBN 13 : 331968342X
Total Pages : 297 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Research Advances in the Mathematical Education of Pre-service Elementary Teachers by : Gabriel J. Stylianides

Download or read book Research Advances in the Mathematical Education of Pre-service Elementary Teachers written by Gabriel J. Stylianides and published by Springer. This book was released on 2017-11-16 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines new trends and developments in research related to the mathematical education of pre-service elementary teachers, and explores the implications of these research advances for theory and practice in teacher education. The book is organized around the following four overarching themes: pre-service teachers’ mathematics content and mathematics-specific pedagogical preparation; professional growth through activities and assessment tools used in mathematics teacher preparation programs; pre-service mathematics teachers’ knowledge and beliefs; and perspectives on noticing in the preparation of elementary mathematics teachers. Including contributions from researchers working in 11 different countries, the book offers a forum for discussing and debating the state of the art regarding the mathematical preparation of pre-service elementary teachers. By presenting and discussing the findings of research conducted in different countries, the book offers also opportunities to readers to learn about varying teacher education practices around the world, such as: innovative practices in advancing or assessing teachers’ knowledge and beliefs, similarities and differences in the formal mathematics education of teachers, types of and routes in teacher education, and factors that can influence similarities or differences.

Mathematical Modelling and Applications

Author : Gloria Ann Stillman
Publisher : Springer
ISBN 13 : 3319629689
Total Pages : 620 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Mathematical Modelling and Applications by : Gloria Ann Stillman

Download or read book Mathematical Modelling and Applications written by Gloria Ann Stillman and published by Springer. This book was released on 2017-11-05 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume documents on-going research and theorising in the sub-field of mathematics education devoted to the teaching and learning of mathematical modelling and applications. Mathematical modelling provides a way of conceiving and resolving problems in the life world of people whether these range from the everyday individual numeracy level to sophisticated new problems for society at large. Mathematical modelling and real world applications are considered as having potential for multi-disciplinary work that involves knowledge from a variety of communities of practice such as those in different workplaces (e.g., those of educators, designers, construction engineers, museum curators) and in different fields of academic endeavour (e.g., history, archaeology, mathematics, economics). From an educational perspective, researching the development of competency in real world modelling involves research situated in crossing the boundaries between being a student engaged in modelling or mathematical application to real word tasks in the classroom, being a teacher of mathematical modelling (in or outside the classroom or bridging both), and being a modeller of the world outside the classroom. This is the focus of many of the authors of the chapters in this book. All authors of this volume are members of the International Community of Teachers of Mathematical Modelling (ICTMA), the peak research body into researching the teaching and learning of mathematical modelling at all levels of education from the early years to tertiary education as well as in the workplace.

Cognitive Activation in the Mathematics Classroom and Professional Competence of Teachers

Author : Mareike Kunter
Publisher : Springer Science & Business Media
ISBN 13 : 1461451493
Total Pages : 375 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Cognitive Activation in the Mathematics Classroom and Professional Competence of Teachers by : Mareike Kunter

Download or read book Cognitive Activation in the Mathematics Classroom and Professional Competence of Teachers written by Mareike Kunter and published by Springer Science & Business Media. This book was released on 2013-03-29 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work reports the findings of the Professional Competence of Teachers, Cognitively Activating Instruction, and Development of Students ́ Mathematical Literacy project (COACTIV). COACTIV applies a broad, innovative conceptualization of teacher competence to examine how mathematics teachers’ knowledge, beliefs, motivational orientations, and self-regulation skills influence their instructional practice and teaching outcomes In this project data was collected on various aspects of teacher competence and classroom instruction from the perspective of both the teachers themselves and their students. Moreover, it gauges the effects of these teacher characteristics on student learning, as indexed by the progress students in each class. Questions addressed in the study which are reported in this volume include: What are the characteristics of successful teaching? What distinguishes teachers who succeed in their profession? How can the quality of instruction be improved?

Preservice Secondary Mathematics Teachers' Knowledge of Students

Author : Hulya Kilic
Publisher :
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Preservice Secondary Mathematics Teachers' Knowledge of Students by : Hulya Kilic

Download or read book Preservice Secondary Mathematics Teachers' Knowledge of Students written by Hulya Kilic and published by . This book was released on 2011 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this paper is to present the nature of preservice secondary mathematics teachers' knowledge of students as emerged from a study investigating the development of their pedagogical content knowledge in a methods course and its associated field experience. Six preservice teachers participated in the study and the data were collected in the forms of observations, interviews and written documents. Knowledge of students is defined as teachers' knowledge of what mathematical concepts are difficult for students to grasp, which concepts students typically have misconceptions about, possible sources of students' errors, and how to eliminate those difficulties and misconceptions. The findings revealed that preservice teachers had difficulty in both identifying the source of students' misconceptions, and errors and generating effective ways different than telling the rules or procedures to eliminate such misconceptions. Furthermore, preservice teachers' knowledge of students was intertwined with their knowledge of subject matter and knowledge of pedagogy. They neither had strong conceptual knowledge of mathematics nor rich repertoire of teaching strategies. Therefore, they frequently failed to recognize what conceptual knowledge the students were lacking and inclined to address students' errors by telling how to carry out the procedure or apply the rule to solve the given problem correctly. A questionnaire is appended. (Contains 4 figures and 1 footnote.).

Teacher Noticing of Pre-service and In-service Secondary Mathematics Teachers

Author : Anton Bastian
Publisher : Springer Nature
ISBN 13 : 3658456191
Total Pages : 190 pages
Book Rating : 4.6/5 (584 download)

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Book Synopsis Teacher Noticing of Pre-service and In-service Secondary Mathematics Teachers by : Anton Bastian

Download or read book Teacher Noticing of Pre-service and In-service Secondary Mathematics Teachers written by Anton Bastian and published by Springer Nature. This book was released on with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quality Teaching

Author : Profesor Edgar Stones
Publisher : Routledge
ISBN 13 : 1134811543
Total Pages : 374 pages
Book Rating : 4.1/5 (348 download)

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Book Synopsis Quality Teaching by : Profesor Edgar Stones

Download or read book Quality Teaching written by Profesor Edgar Stones and published by Routledge. This book was released on 2002-11-01 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 2004. By detailed analysis of numerous classroom case studies, the author aims to show that true quality teaching is achieved only by sensitivitiy to the interplay between the processes by which children acquire knowledge.

Changes in Pedagogical Content Knowledge of Secondary Mathematics Student Teachers in Hangzhou During Their Pre-service Teacher Education

Download Changes in Pedagogical Content Knowledge of Secondary Mathematics Student Teachers in Hangzhou During Their Pre-service Teacher Education PDF Online Free

Author : 丁琳
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (88 download)

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Book Synopsis Changes in Pedagogical Content Knowledge of Secondary Mathematics Student Teachers in Hangzhou During Their Pre-service Teacher Education by : 丁琳

Download or read book Changes in Pedagogical Content Knowledge of Secondary Mathematics Student Teachers in Hangzhou During Their Pre-service Teacher Education written by 丁琳 and published by . This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Proceedings of the 12th International Congress on Mathematical Education

Author : Sung Je Cho
Publisher : Springer
ISBN 13 : 3319126881
Total Pages : 617 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis The Proceedings of the 12th International Congress on Mathematical Education by : Sung Je Cho

Download or read book The Proceedings of the 12th International Congress on Mathematical Education written by Sung Je Cho and published by Springer. This book was released on 2015-02-10 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises the Proceedings of the 12th International Congress on Mathematical Education (ICME-12), which was held at COEX in Seoul, Korea, from July 8th to 15th, 2012. ICME-12 brought together 3500 experts from 92 countries, working to understand all of the intellectual and attitudinal challenges in the subject of mathematics education as a multidisciplinary research and practice. This work aims to serve as a platform for deeper, more sensitive and more collaborative involvement of all major contributors towards educational improvement and in research on the nature of teaching and learning in mathematics education. It introduces the major activities of ICME-12 which have successfully contributed to the sustainable development of mathematics education across the world. The program provides food for thought and inspiration for practice for everyone with an interest in mathematics education and makes an essential reference for teacher educators, curriculum developers and researchers in mathematics education. The work includes the texts of the four plenary lectures and three plenary panels and reports of three survey groups, five National presentations, the abstracts of fifty one Regular lectures, reports of thirty seven Topic Study Groups and seventeen Discussion Groups.

Coordinating Mathematical and Pedagogical Content in Preservice Teacher Education

Author : Peter Shahpour Wiles
Publisher :
ISBN 13 :
Total Pages : 238 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Coordinating Mathematical and Pedagogical Content in Preservice Teacher Education by : Peter Shahpour Wiles

Download or read book Coordinating Mathematical and Pedagogical Content in Preservice Teacher Education written by Peter Shahpour Wiles and published by . This book was released on 2001 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Relationships Between Preservice Secondary Mathematics Teachers' Beliefs, Knowledge, and Technology Use

Author : Somin Kim
Publisher :
ISBN 13 :
Total Pages : 314 pages
Book Rating : 4.:/5 (967 download)

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Book Synopsis Relationships Between Preservice Secondary Mathematics Teachers' Beliefs, Knowledge, and Technology Use by : Somin Kim

Download or read book Relationships Between Preservice Secondary Mathematics Teachers' Beliefs, Knowledge, and Technology Use written by Somin Kim and published by . This book was released on 2016 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This multi-case study examines the relationships between preservice teachers' beliefs and knowledge regarding teaching mathematics with technology. Based on the theoretical framework on teacher beliefs and Technology, Pedagogy, and Content Knowledge (TPACK), I investigated four preservice secondary mathematics teachers' technological pedagogical content knowledge (TPCK) and their beliefs about the nature of mathematics, learning and teaching mathematics, and the use of technology in the mathematics classroom. Three semi-structured interviews (beliefs, task-based, and performance interviews) were used to collect data about the preservice teachers' TPACK components, beliefs, and how to use a technology tool in their imaginary mathematics teaching. The findings of this study indicated that preservice teachers with sophisticated or student-centered beliefs about the nature of mathematics, learning mathematics, and technology use displayed higher levels of mathematical content knowledge, pedagogical content knowledge, and technological content knowledge, respectively, than preservice teachers with traditional or teacher-centered beliefs about mathematics, learning mathematics, and technology use. In addition, this study suggested that in order to effectively use technology to teach mathematics, preservice teachers should develop their beliefs and knowledge in all areas of mathematics, pedagogy, and technology. Understanding the relationships between preservice teachers' TPACK and beliefs provides insights into how teacher education programs can support preservice teachers to develop TPACK and integrate technology into their future mathematics instruction.

Encyclopedia of Mathematics Education

Author : Stephen Lerman
Publisher : Springer
ISBN 13 : 9783030157883
Total Pages : 916 pages
Book Rating : 4.1/5 (578 download)

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Book Synopsis Encyclopedia of Mathematics Education by : Stephen Lerman

Download or read book Encyclopedia of Mathematics Education written by Stephen Lerman and published by Springer. This book was released on 2020-02-07 with total page 916 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Encyclopedia of Mathematics Education is a comprehensive reference text, covering every topic in the field with entries ranging from short descriptions to much longer pieces where the topic warrants more elaboration. The entries provide access to theories and to research in the area and refer to the leading publications for further reading. The Encyclopedia is aimed at graduate students, researchers, curriculum developers, policy makers, and others with interests in the field of mathematics education. It is planned to be 700 pages in length in its hard copy form but the text will subsequently be up-dated and developed on-line in a way that retains the integrity of the ideas, the responsibility for which will be in the hands of the Editor-in-Chief and the Editorial Board. This second edition will include additional entries on: new ideas in the politics of mathematics education, working with minority students, mathematics and art, other cross-disciplinary studies, studies in emotions and mathematics, new frameworks for analysis of mathematics classrooms, and using simulations in mathematics teacher education. Existing entries will be revised and new entries written. Members of the international mathematics education research community will be invited to propose new entries. Editorial Board: Bharath Sriraman Melony Graven Yoshinori Shimizu Ruhama Even Michele Artigue Eva Jablonka Wish to Become an Author? Springer's Encyclopedia of Mathematics Education's first edition was published in 2014. The Encyclopedia is a "living" project and will continue to accept articles online as part of an eventual second edition. Articles will be peer-reviewed in a timely manner and, if found acceptable, will be immediately published online. Suggested articles are, of course, welcome. Feel encouraged to think about additional topics that we overlooked the first time around, and to suggest colleagues (including yourself!) who will want to write them. Interested new authors should contact the editor in chief, Stephen Lerman, at [email protected], for more specific instructions.