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Book Preservice Teachers  Developing Mathematical Knowledge for Teaching

Download or read book Preservice Teachers Developing Mathematical Knowledge for Teaching written by Jennifer L. Edelman and published by . This book was released on 2014 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: This descriptive study examines the elements of mathematical knowledge for teaching that preservice teacher candidates exhibited as they planned, taught, and reflected on a mathematics lesson that integrated children's literature. A collective case study design was used in which three groups were selected from the total population of 10 groups; the groups were selected based on demographics and in an effort to illustrate the widest varieties of experiences during the study. Data for each group consisted of written lesson plans, observations of enacted literature-based lessons, lesson artifacts, and written reflections on the lessons. Data were analyzed for elements of knowledge of content and students, knowledge of content and teaching, and knowledge of content and curriculum. Additionally, the procedures each group used to select their book were analyzed. A second cycle of coding was applied to connect the findings of this study with the existing literature on developing mathematical knowledge for teaching and the effects of using children's literature in mathematics teaching and learning. This study illustrates the need for further development of candidates' ability to locate mathematical concepts in children's literature, as well as the need for supporting candidates' critical analysis of curricular materials and mathematical representations to find the best possible method for teaching various mathematical concepts. Recommendations for future research are included.

Book Mathematical Knowledge in Teaching

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.

Book Cases in Mathematics Teacher Education

Download or read book Cases in Mathematics Teacher Education written by Margaret S. Smith and published by IAP. This book was released on 2015-10-01 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: (Orginally published in 2008) The goal of AMTE Monograph 4, "Cases in Mathematics Teacher Education: Tools for Developing Knowledge Needed for Teaching", is to provide detailed accounts of case use that will inform the mathematics teacher education community on the range of ways in which cases can be used to foster teacher learning and the capacity to reflect on and learn from teaching. The chapters in this monograph describe the use of cases with preservice and practicing teachers at all levels K - 12, in content and methods courses as well as professional development settings, and focus on developing various aspects of teachers' knowledge base (i.e., content, pedagogy, and students as learners). Hence, Monograph 4 should prove to be a superb resource for mathematics teacher educators.

Book Developing Mathematical Knowledge for Teaching

Download or read book Developing Mathematical Knowledge for Teaching written by Erica Kwiatkowski-Egizio and published by LAP Lambert Academic Publishing. This book was released on 2015-07-13 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two research questions that frame the research in this book are (1) How do preservice teachers develop mathematical knowledge for teaching during a coordinated math methods course and field experience? and (2) What types of portfolio tasks lend themselves to documenting mathematical knowledge in teaching? Six female elementary (K-8) teacher candidates were the participants in this research. The six teacher candidates all completed their field experiences in the same K-8 school, St. Joseph, in Lockport, Illinois. Three of the teacher candidates had elementary placements (grades K, 1, and 4) and three of the teacher candidates had middle school placements (5, 6, and 7). Each of the teacher candidates completed pre-test and post-test DTAMS assessments. All candidates taught three consecutive mathematics lessons. After each lesson was taught, a debriefing interview was conducted. Each teacher candidate submitted a Math Teaching Portfolio. Results illustrated the growth of mathematical knowledge for teaching that occurred for each participant. Implications for the field of mathematics education, future research, and teacher preparation programs are also discussed.

Book Eliciting Elementary Preservice Teachers  Mathematical Knowledge for Teaching Using Instructional Tasks that Include Children s Mathematical Thinking

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 The Work of Mathematics Teacher Educators

Download or read book The Work of Mathematics Teacher Educators written by Kathleen Lynch-Davis and published by IAP. This book was released on 2015-10-01 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: (Orginally published in 2005) A major focus of teacher education is the development of preservice teachers. However, it should not be the only focus of those who work in teacher education. Educating inservice teachers in equally important, and the conversation among those involved in mathematics teacher education needs to include discussion of this group as well. This conversation also highlights a need for professional development for teacher educators and research on the development of teacher educators. This monograph discusses issues in educating all of these groups of individuals in an effort to continue the conversation among those involded in mathematics teacher education.

Book The Learning and Development of Mathematics Teacher Educators

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 Inquiry into Mathematics Teacher Education

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 Developing Mathematical Proficiency for Elementary Instruction

Download or read book Developing Mathematical Proficiency for Elementary Instruction written by Yeping Li and published by Springer Nature. This book was released on 2021-04-23 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: The need to improve the mathematical proficiency of elementary teachers is well recognized, and it has long been of interest to educators and researchers in the U.S. and many other countries. But the specific proficiencies that elementary teachers need and the process of developing and improving them remain only partially conceptualized and not well validated empirically. To improve this situation, national workshops were organized at Texas A&M University to generate focused discussions about this important topic, with participation of mathematicians, mathematics educators and teachers. Developing Mathematical Proficiency for Elementary Instruction is a collection of articles that grew out of those exciting cross-disciplinary exchanges. Developing Mathematical Proficiency for Elementary Instruction is organized to probe the specifics of mathematical proficiency that are important to elementary teachers during two separate but inter-connected professional stages: as pre-service teachers in a preparation program, and as in-service teachers teaching mathematics in elementary classrooms. From this rich and inspiring collection, readers may better understand, and possibly rethink, their own practices and research in empowering elementary teachers mathematically and pedagogically, as educators or researchers.

Book Mathematics Teaching

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 The Handbook of Mathematics Teacher Education  Volume 1

Download or read book The Handbook of Mathematics Teacher Education Volume 1 written by and published by BRILL. This book was released on 2008-01-01 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Knowledge and Beliefs in Mathematics Teaching and Teaching Development addresses the “what” of mathematics teacher education, meaning knowledge for mathematics teaching and teaching development and consideration of associated beliefs.

Book Research Trends in Mathematics Teacher Education

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 DEVELOPING ELEMENTARY PRE SERVICE TEACHERS  MATHEMATICAL KNOWLEDGE FOR TEACHING

Download or read book DEVELOPING ELEMENTARY PRE SERVICE TEACHERS MATHEMATICAL KNOWLEDGE FOR TEACHING written by Erin Coleen Morgart and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This study examines the impact that an adapted lesson study had on the development of elementary pre-service teachers (PSTs) mathematical knowledge for teaching (MKT) within a professional development school (PDS) context. Research suggests that PSTs enter teacher education lacking the subject matter knowledge needed to teach mathematics. This study represents an effort to identify a model for PST learning that can be used to continue to develop PSTs MKT after completing coursework. Using Shulmans pedagogical reasoning to adapt lesson study for PST learning, I created the pre-service teacher lesson study cycle (PST-LSC). This qualitative research study used case study methodology to investigate and analyze the development of four PSTs MKT while participating in the PST-LSC. To analyze growth in the PSTs MKT, pre- and post-interviews were conducted. Additionally, audio-recordings of discussions, lesson study artifacts, and PST journal responses were collected over the course of the PST-LSC. The data were analyzed thematically using a priori codes and subcodes related to the MKT framework in order to identify how the PSTs MKT developed throughout the PST-LSC. The data suggests the PSTs MKT deepened as a result of participating in the PST-LSC. More specifically, the PST-LSC provided PSTs with opportunities to develop all six domains of MKT: common content knowledge (CCK), specialized content knowledge (SCK), knowledge at the mathematical horizon, knowledge of content and students (KCS), knowledge of content and teaching (KCT), and knowledge of curriculum. The results of the study also indicate that the sharing of mathematical strategies, cross grade-level discussions, readings, collaboration, curricular resources, observation, and reteaching involved in the PST-LSC were catalysts for the gains in MKT. This research has implications for teacher educators who teach mathematics methods courses and who supervise PSTs in field experiences.

Book Development and Validation of the Preservice Mathematical Knowledge for Teaching Items  PMKT

Download or read book Development and Validation of the Preservice Mathematical Knowledge for Teaching Items PMKT written by and published by . This book was released on 2011 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical knowledge for teaching (MKT) is the knowledge required for teaching mathematics for understanding. Researchers suggest that this construct consists of multiple knowledge domains. Those domains include teachers' knowledge of mathematical content and knowledge about teaching mathematics. These domains of MKT have been theoretically and empirically examined to determine their effects on K-12 student achievement. However, empirical evidence of this relationship is limited due to a lack of measures to assess MKT. Recently, researchers have constructed measures of MKT to evaluate the effectiveness of professional development activities with in-service teachers. These measures, however, lack validity evidence for use in teacher education program assessment. This process requires adequate tools for assessing the extent to which students meet specific learning outcomes. Previous research has not supported the use of any current measure of MKT for preservice teacher program assessment. To address this gap in the literature, a process of construct validation was conducted on a scale developed for assessing MKT at the program level of a teacher education program. Validation evidence for the items was obtained using Benson's framework of a strong program of construct validation. The factor structure of the items was analyzed and expected group differences were assessed. Qualitative data from cognitive interviews were then used to provide convergent evidence in regards to the construct validity of the items. The overall purpose of these methods of inquiry was to develop items that would measure the MKT that resulted from a teacher education mathematics curriculum. Results indicated that an 11- item essentially unidimensional scale of specialized content knowledge could be formed. The factor underlying responses to the scale appeared to be related to specialized content knowledge. Interviews with participants revealed themes indicating that the items were measuring specialized content knowledge. Comparisons among students at differing levels of the mathematics education curriculum revealed significant, but small differences between upper level preservice teachers and preservice teachers whom received no instruction. Further analysis of these items indicated that they could be improved by focusing future item development on examining preservice teachers' misconceptions in evaluating mathematical arguments. Implications of these findings are discussed.

Book Knowing and Learning Mathematics for Teaching

Download or read book Knowing and Learning Mathematics for Teaching written by National Research Council and published by National Academies Press. This book was released on 2001-02-25 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are many questions about the mathematical preparation teachers need. Recent recommendations from a variety of sources state that reforming teacher preparation in postsecondary institutions is central in providing quality mathematics education to all students. The Mathematics Teacher Preparation Content Workshop examined this problem by considering two central questions: What is the mathematical knowledge teachers need to know in order to teach well? How can teachers develop the mathematical knowledge they need to teach well? The Workshop activities focused on using actual acts of teaching such as examining student work, designing tasks, or posing questions, as a medium for teacher learning. The Workshop proceedings, Knowing and Learning Mathematics for Teaching, is a collection of the papers presented, the activities, and plenary sessions that took place.

Book International Perspectives on Mathematics Teacher Education

Download or read book International Perspectives on Mathematics Teacher Education written by Denisse R Thompson and published by IAP. This book was released on 2021-09-01 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics teacher education includes the mathematics content teachers need to understand, ways that pedagogical approaches are developed, messages about the nature of mathematics teaching and learning, and interfaces between tertiary preparation and school contexts. Scholars from Sweden, France, Malawi, Singapore, New Zealand, Brazil, the USA, and Canada provide insights for the mathematics education community’s understanding of how teacher educators structure, develop, and implement their respective mathematics teacher education programs. Several themes emerged across the chapters, including: varied approaches to developing culturally responsive pedagogies and/or Indigenous perspectives; issues and challenges in fostering partnerships and collaborations; strategies for developing mathematics knowledge for teaching; and preparing flexible and resourceful teachers. Praise for International Perspectives on Mathematics Teacher Education: "International Perspectives on Mathematics Teacher Education explores different facets of mathematics teacher education in eight countries across five continents. The authors and editors answer important questions and open the door to critical conversations about policies and practices related to mathematics teacher recruitment, preparation, and professional development, among other topics. Every reader will develop new perspectives as they learn how one institution is engaging with Indigenous perspectives while other countries struggle with an insufficient supply of certified teachers. This book clearly demonstrates challenges, constraints, nuances and complexities to initiating and maintaining improvement across systems to enhance the work and spaces of mathematics teachers within different historical, cultural, social, and political contexts. This volume also generates ideas and opportunities for leaders, policymakers, and teacher educators to consider and learn from international colleagues about different approaches to mathematics teacher education practice and policy. Undoubtedly, debates about standards, content and experiences in programs, and accountability structures such as accreditation will continue. It is clear from the insights in this volume that strengthening mathematics teacher education will require stronger collaborations, frameworks, policies, infrastructure, and investments on a global scale and it will be critical to collaborate with and learn from colleagues in international settings. These conversations will require reciprocity, interdependence, and resilience as we pursue the ultimate goal of equipping the field of mathematics teacher education." Kathryn Chval Dean, College of Education Professor of Mathematics Education University of Illinois Chicago

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

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.