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Preservice Secondary Mathematics Teachers Development Of Mathematical Knowledge For Teaching And Their Use Of Knowledge In Their Instruction
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Book Synopsis Preservice Secondary Mathematics Teachers' Development of Mathematical Knowledge for Teaching and Their Use of Knowledge in Their Instruction by : Kyunghee Moon
Download or read book Preservice Secondary Mathematics Teachers' Development of Mathematical Knowledge for Teaching and Their Use of Knowledge in Their Instruction written by Kyunghee Moon and published by . This book was released on 2013 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Their lack of profound content knowledge in the topics they taught was one of the major contributing factors for those phenomena. It is advisable that secondary teacher educators pay extra attention to developing teachers' content knowledge as well as knowledge of student thinking. Without knowledge in these areas, it is unlikely that secondary teachers could help students understand critical mathematical ideas.
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.
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.
Book Synopsis Research Trends in Mathematics Teacher Education by : Jane-Jane Lo
Download or read book Research Trends in Mathematics Teacher Education written by Jane-Jane Lo and published by Springer. This book was released on 2014-05-28 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research on the preparation and continued development of mathematics teachers is becoming an increasingly important subset of mathematics education research. Such research explores the attributes, knowledge, skills and beliefs of mathematics teachers as well as methods for assessing and developing these critical aspects of teachers and influences on teaching. Research Trends in Mathematics Teacher Education focuses on three major themes in current mathematics teacher education research: mathematical knowledge for teaching, teacher beliefs and identities, and tools and techniques to support teacher learning. Through careful reports of individual research studies and cross-study syntheses of the state of research in these areas, the book provides insights into teachers’ learning processes and how these processes can be harnessed to develop effective teachers. Chapters investigate bedrock skills needed for working with primary and secondary learners (writing relevant problems, planning lessons, being attentive to student learning) and illustrate how knowledge can be accessed, assessed, and nurtured over the course of a teaching career. Commentaries provide context for current research while identifying areas deserving future study. Included among the topics: Teachers’ curricular knowledge Teachers’ personal and classroom mathematics Teachers’ learning journeys toward reasoning and sense-making Teachers’ transitions in noticing Teachers’ uses of a learning trajectory as a tool for mathematics lesson planning A unique and timely set of perspectives on the professional development of mathematics teachers at all stages of their careers, Research Trends in Mathematics Teacher Education brings clarity and practical advice to researchers as well as practitioners in this increasingly critical arena.
Book Synopsis Inquiry into Mathematics Teacher Education by : Fran Arbaugh
Download or read book Inquiry into Mathematics Teacher Education written by Fran Arbaugh and published by IAP. This book was released on 2015-10-01 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: (Orginally published in 2008) The 14 chapters in this monograph provide support for mathematics teacher educators in both their Practical Knowledge and their Professional Knowledge. Individually, these articles provide insights into advancing our thinking about professional development, teacher preparation, and program development. Collectively, they have the potential to help the field of mathematics teacher education move forward in framing effective practices in mathematics teacher education and developing a focused, cohesive research agenda. ATME's Monograph 5, therefore, is a superb resource for mathematics teacher education.
Book Synopsis Mathematics Teaching by : Johnny W. Lott
Download or read book Mathematics Teaching written by Johnny W. Lott and published by IAP. This book was released on 2015-06-01 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: (Orginally published in 2010) The seventh monograph of AMTE highlights examples of important scholarship of and for the mathematics teacher education community. This monograph, like others produced by AMTE, serves as a forum for mathematics teacher educators to exchange ideas, experiences, resources, and detailed accounts of work to improve teacher preparation. Chapters in this monograph take up a variety of issues such as using online social networking in the preparation of teachers, examining the impact of textbook specific professional development, and offering a mathematics-specific reading in the content area course.
Book Synopsis Constructing Knowledge for Teaching Secondary Mathematics by : Orit Zaslavsky
Download or read book Constructing Knowledge for Teaching Secondary Mathematics written by Orit Zaslavsky and published by Springer Science & Business Media. This book was released on 2011-04-11 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teacher education seeks to transform prospective and/or practicing teachers from neophyte possibly uncritical perspectives on teaching and learning to more knowledgeable, adaptable, analytic, insightful, observant, resourceful, reflective and confident professionals ready to address whatever challenges teaching secondary mathematics presents. This transformation occurs optimally through constructive engagement in tasks that foster knowledge for teaching secondary mathematics. Ideally such tasks provide a bridge between theory and practice, and challenge, surprise, disturb, confront, extend, or provoke examination of alternatives, drawn from the context of teaching. We define tasks as the problems or activities that, having been developed, evaluated and refined over time, are posed to teacher education participants. Such participants are expected to engage in these tasks collaboratively, energetically, and intellectually with an open mind and an orientation to future practice. The tasks might be similar to those used by classroom teachers (e.g., the analysis of a graphing problem) or idiosyncratic to teacher education (e.g., critique of videotaped practice). This edited volume includes chapters based around unifying themes of tasks used in secondary mathematics teacher education. These themes reflect goals for mathematics teacher education, and are closely related to various aspects of knowledge required for teaching secondary mathematics. They are not based on the conventional content topics of teacher education (e.g., decimals, grouping practices), but on broad goals such as adaptability, identifying similarities, productive disposition, overcoming barriers, micro simulations, choosing tools, and study of practice. This approach is innovative and appeals both to prominent authors and to our target audiences.
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.
Book Synopsis Forms of Mathematical Knowledge by : Dina Tirosh
Download or read book Forms of Mathematical Knowledge written by Dina Tirosh and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: What mathematics is entailed in knowing to act in a moment? Is tacit, rhetorical knowledge significant in mathematics education? What is the role of intuitive models in understanding, learning and teaching mathematics? Are there differences between elementary and advanced mathematical thinking? Why can't students prove? What are the characteristics of teachers' ways of knowing? This book focuses on various types of knowledge that are significant for learning and teaching mathematics. The first part defines, discusses and contrasts psychological, philosophical and didactical issues related to various types of knowledge involved in the learning of mathematics. The second part describes ideas about forms of mathematical knowledge that are important for teachers to know and ways of implementing such ideas in preservice and in-service education. The chapters provide a wide overview of current thinking about mathematics learning and teaching which is of interest for researchers in mathematics education and mathematics educators. Topics covered include the role of intuition in mathematics learning and teaching, the growth from elementary to advanced mathematical thinking, the significance of genres and rhetoric for the learning of mathematics and the characterization of teachers' ways of knowing.
Book Synopsis Professional Development and Knowledge of Mathematics Teachers by : Stefan Zehetmeier
Download or read book Professional Development and Knowledge of Mathematics Teachers written by Stefan Zehetmeier and published by Routledge. This book was released on 2020-12-21 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics teaching and professional development of mathematics teachers are areas where research has increased substantially in recent years. In this dynamic field, mathematics teaching practices, pedagogical knowledge of mathematics teachers and professional development via collaboration between mathematics teachers have emerged as vital domains of inquiry. Professional Development and Knowledge of Mathematics Teachers addresses the underlying characteristics of mathematics teacher education, and those professional development contexts that have a positive impact on teachers’ professional learning. Recognizing the impact of broader institutional settings on mathematics teaching and teacher professional development, the editors suggest bridging the gaps between theoretical practices and methodological approaches in the field by focusing on and conceptualizing the following relational factors: The study of mathematics teaching and classroom situations Researching teacher and teacher educator knowledge, since these issues inform the quality of mathematics teaching directly Mathematics teacher education and professional development, focusing on design principles and the impact they have on teacher professional learning Combining central issues of mathematics teaching, knowledge and professional development, the chapters in this volume address each of the above factors and provide profound considerations on both theoretical and practical levels. This book will be an essential resource for researchers, teachers and students working in the fields of mathematics teaching and mathematics teacher professional development.
Book Synopsis Eliciting Elementary Preservice Teachers' Mathematical Knowledge for Teaching Using Instructional Tasks that Include Children's Mathematical Thinking by : Lauren Lee Goggins
Download or read book Eliciting Elementary Preservice Teachers' Mathematical Knowledge for Teaching Using Instructional Tasks that Include Children's Mathematical Thinking written by Lauren Lee Goggins and published by ProQuest. This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A challenge that teacher educators face is how to determine if teacher preparation programs provide preservice teachers with opportunities to develop the mathematical knowledge that teachers use in their practice. This qualitative, interpretive study examines the mathematical knowledge for teaching that four preservice teachers exhibited when they engaged in a set of three instructional tasks that included children's mathematical thinking and were designed to replicate the work of teaching mathematics. Each task largely elicits a different kind of mathematical knowledge for teaching from preservice teachers. In addition, the formats of the children's mathematical thinking examples influence the mathematical knowledge for teaching that is elicited from preservice teachers by the complete set of instructional tasks. This study informs teacher educators how instruction in teacher preparation programs and professional development programs can be developed to measure mathematical knowledge for teaching. And, it advances the current understanding of the mathematical knowledge that is needed in the work of teaching mathematics.
Book Synopsis The Learning and Development of Mathematics Teacher Educators by : Merrilyn Goos
Download or read book The Learning and Development of Mathematics Teacher Educators written by Merrilyn Goos and published by Springer Nature. This book was released on 2021-04-07 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research in mathematics teacher education as a distinctive field of inquiry has grown substantially over the past 10-15 years. Within this field there is emerging interest in how mathematics teacher educators (MTEs) themselves learn and develop. Until recently there were few published studies on this topic, and the processes by which mathematics teacher educators learn, and the forms of knowledge they require for effective practice, had not been systematically investigated. However, researchers in mathematics education are now beginning to investigate the development of MTE expertise and associated issues. This volume draws on the latest research and thinking in this area is therefore timely to stimulate future development and directions. It will survey the emerging field of inquiry in mathematics education, combining the work of established scholars with perspectives of newcomers to the field, with the aim of influencing development of the field, invite cross-cultural comparisons in becoming a mathematics teacher educator by highlighting issues in the development of MTEs in different countries, and examine the roles of both mathematics educators and mathematicians in preparing future teachers of mathematics. The primary audience will be university-based mathematics teacher educators and MTE researchers, and postgraduate research students who are seeking academic careers as MTEs. Additional interest may come from teacher educators in disciplines other than mathematics, and education policy makers responsible for accreditation and quality control of initial teacher education programs.
Book Synopsis Storied Identities by : Kayce Lee Mastrup
Download or read book Storied Identities written by Kayce Lee Mastrup and published by . This book was released on 2020 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Secondary mathematics instruction in the United States has undergone great scrutiny and little has changed over the past decade surrounding the manners in which instruction unfolds within classrooms. With the adoption of Common Core State Standards for Mathematics in 2010 disparities and questions have surfaced regarding how well mathematics teachers are prepared to engage their students in mathematical tasks that promote conceptual understanding and move away from rote memorization and procedure-based practices. The mathematical experiences of preservice teachers as students in K-16 classrooms become significant components of their preparation for teaching. In order to gain a greater understanding of how preservice teachers develop their instructional practice a longitudinal study is needed, one that considers mathematical identity, agency and teacher preparation. In this study I investigated the mathematical identity of eight preservice mathematics teachers as a means to understand the development of their instructional practice from the start of preservice through the conclusion of their first year of teaching. This dissertation is organized in three separate articles. The first article examines the K-16 mathematical experiences of each preservice teacher. Each participant's mathematical identity was shaped by their mathematical histories. The second article focuses on how individuals with different math identities responded to credential year experiences. The third and final article follows five of the participants from preservice to inservice, focusing on the role of agency in promoting uptake and sustained implementation of reform oriented mathematics instruction. Research methods included narrative autobiographies, semi-structured interviews, observations of practice, and analysis of course work. Analysis revealed a strong connection between the K-16 mathematical experiences of preservice teachers and their notions about what it means for their students to demonstrate mathematical knowledge and competency. Additionally, the preservice teachers in this study who experienced some reform-oriented practices as K-16 students, as well as opportunities to implement said practices during student teaching, demonstrated higher levels of sustained uptake and implementation of reform-oriented practices as first-year teachers. Implications of this work indicate that at different points during teacher preparation, preservice mathematics teachers need tailored levels of support based on their unique mathematical history in order for them to engage in experiences that make their practice problematic, providing opportunities for reflection and growth to occur. Results from this study support and expand upon findings shared by scholars interested in the development of mathematics teachers. As preservice teachers step into their role as a novice teacher, current principles and practices of a school community, along with the opportunities to experience reform-oriented mathematics instruction during student teaching are vital components for sustained integration and implementation of reform-oriented mathematics instruction.
Book Synopsis The Language of Mathematics by : Patrick M. Jenlink
Download or read book The Language of Mathematics written by Patrick M. Jenlink and published by Rowman & Littlefield. This book was released on 2020-02-04 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Language of Mathematics: How the Teacher’s Knowledge of Mathematics Affects Instruction introduces the reader to a collection of thoughtful works by authors that represent current thinking about mathematics teacher preparation. The book provides the reader with current and relevant knowledge concerning preparation of mathematics teachers. The complexity of teaching mathematics is undeniable and all too often ignored in the preparation of teachers with substantive mathematical content knowledge and mathematical teaching knowledge. That said, this book has a focus on the substantive knowledge and the relevant pedagogy required for preparing teachings to enter classrooms to teach mathematics in K-12 school settings. Each chapter focuses on the preparation of teachers who will enter classrooms to instruct the next generation of students in mathematics. Chapter One opens the book with a focus on the language and knowledge of mathematics teaching. The authors of Chapters Two-Nine present field-based research that examines the complexities of content and pedagogical knowledge as well as knowledge for teaching. Each chapter offers the reader an examination of mathematics teacher preparation and practice based on formal research that provides the reader with insight into how the research study was conducted as well as providing the findings and conclusions drawn with respect to mathematics teacher preparation and practice. Finally, Chapter 10 presents an epilogue that focuses on the future of mathematics teacher preparation.
Book Synopsis The Mathematics Teacher Education Partnership by : W. Gary Martin
Download or read book The Mathematics Teacher Education Partnership written by W. Gary Martin and published by IAP. This book was released on 2020-01-01 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of a body of work conducted over the past seven years related to the preparation of secondary mathematics teachers by the Mathematics Teacher Education Partnership (MTE-Partnership), a national consortium of more than 90 universities and 100 school systems. The MTE-Partnership is organized as a Networked Improvement Community (NIC), which combines the disciplined inquiry of improvement science with the power of networking to accelerate improvement by engaging a broad set of participants. The MTE-Partnership is addressing key challenges in secondary mathematics teacher preparation, including: • Supporting the development of content knowledge relevant to teaching secondary mathematics; • Providing effective clinical experiences to teacher candidates; • Recruiting secondary mathematics teacher candidates, ensuring program completion and their subsequent retention in the field as early career teachers; • Supporting overall transformation of secondary mathematics teacher preparation in alignment with these challenges; • Ensuring a focus on equity and social justice in secondary mathematics teacher recruitment, preparation, and induction. This book outlines existing knowledge related to each of these key challenges, as well as the work of Research Action Clusters (RACs) formed to address the challenges. Each RAC includes participants from multiple institutions who work collaboratively to iteratively develop, test, and refine processes and products that can help programs more effectively prepare secondary mathematics teacher candidates. The book describes promising approaches to improving aspects of secondary mathematics teacher preparation developed by the RACs, including specific products that have been developed, which will inform the work of others involved in secondary mathematics teacher preparation. In addition, reflections on the use of the NIC model provides insights for others considering this research design. Particular references to the Standards for Preparing Teachers of Mathematics (Association of Mathematics Teacher Educators, 2017) are included throughout the book.
Book Synopsis Teaching Mathematics to English Language Learners by : Luciana C. de Oliveira
Download or read book Teaching Mathematics to English Language Learners written by Luciana C. de Oliveira and published by Springer Nature. This book was released on 2020-10-09 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited book is about preparing pre-service and in-service teachers to teach secondary-level mathematics to English Language Learners (ELLs) in twenty-first century classrooms. Chapter topics are grounded in both research and practice, addressing a range of timely topics including the current state of ELL education in the secondary mathematics classroom, approaches to leveraging the talents and strengths of bilingual students in heterogeneous classrooms, best practices in teaching mathematics to multilingual students, and ways to infuse the secondary mathematics teacher preparation curriculum with ELL pedagogy. This book will appeal to all teachers of ELLs, teacher educators and researchers of language acquisition more broadly. This volume is part of a set of four edited books focused on teaching the key content areas to English language learners. The other books in the set focus on teaching History and Social Studies, English Language Arts, and Science to ELLs.
Book Synopsis The Mathematics Education of Prospective Secondary Teachers Around the World by : Marilyn E. Strutchens
Download or read book The Mathematics Education of Prospective Secondary Teachers Around the World written by Marilyn E. Strutchens and published by Springer. This book was released on 2016-10-22 with total page 63 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume shares and discusses significant new trends and developments in research and practices related to various aspects of preparing prospective secondary mathematics teachers from 2005–2015. It provides both an overview of the current state-of-the-art and outstanding recent research reports from an international perspective. The authors completed a thorough review of the literature by examining major journals in the field of mathematics education, and other journals related to teacher education and technology. The systematic review includes four major themes: field experiences; technologies, tools and resources; teachers' knowledge; and teachers' professional identities. Each of them is presented regarding theoretical perspectives, methodologies, and major findings. Then the authors discuss what is known in the field and what we still need to know related to the major topics.
