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Author: Zhaoyun Wang Publisher: ISBN: Category : Languages : en Pages : 0
Book Description
This study investigated three secondary mathematics teachers' knowledge for teaching and their learning trajectories from their own schooling through their establishment as experienced teachers in their education system. Their current knowledge includes four categories: mathematics content, curriculum, students' conceptions and misconceptions, and mathematics pedagogy. Three case studies were conducted through semi-structured research instruments and interviews. Other data such as prior and current official curricula and other materials related to teachers' professional development were also collected. The findings also indicate that the process of teacher professional development is complex. Teachers learned from various formal and informal sources. The sources and motivation for the teachers' professional development were: the school mathematics curriculum, their students, the content they taught, the school environment for professional development, their interests, and beliefs and value toward mathematics teaching and learning. The content of their teaching, and their students' questions and challenges, helped them to reflect about their classroom practices and assisted the teachers in following various approaches to upgrade their knowledge. The findings indicate that there are five categories of professional knowledge for teachers: subject matter knowledge, curriculum knowledge, knowledge of students, mathematics pedagogy, and knowledge of professional development. Each has its subcategories. The categories and subcategories have their properties and some levels of bonds among others. Teachers' knowledge for teaching is not static but is dynamic. The knowledge is shaped with the changes of school curriculum and teachers' choice of approaches and learning directions for their professional development. Teacher's subject matter knowledge is aligned with the curriculum, and the students' prior learning. Mathematics pedagogical content knowledge is developed over many years of teaching. It depends on the approaches and directions of teachers' professional development, what they teach and who they teach. Mathematics pedagogical content knowledge of secondary school mathematics teachers should include the alignment of elementary, secondary and post-secondary mathematics fundamental ideas, strategies, mathematics thinking and analysis structures of content. Teacher programs also need to provide approaches and directions of professional development. Inservice teacher programs need to entail teachers' needs for subject matter and pedagogical content knowledge development in their educational system.
Author: Zhaoyun Wang Publisher: ISBN: Category : Languages : en Pages : 0
Book Description
This study investigated three secondary mathematics teachers' knowledge for teaching and their learning trajectories from their own schooling through their establishment as experienced teachers in their education system. Their current knowledge includes four categories: mathematics content, curriculum, students' conceptions and misconceptions, and mathematics pedagogy. Three case studies were conducted through semi-structured research instruments and interviews. Other data such as prior and current official curricula and other materials related to teachers' professional development were also collected. The findings also indicate that the process of teacher professional development is complex. Teachers learned from various formal and informal sources. The sources and motivation for the teachers' professional development were: the school mathematics curriculum, their students, the content they taught, the school environment for professional development, their interests, and beliefs and value toward mathematics teaching and learning. The content of their teaching, and their students' questions and challenges, helped them to reflect about their classroom practices and assisted the teachers in following various approaches to upgrade their knowledge. The findings indicate that there are five categories of professional knowledge for teachers: subject matter knowledge, curriculum knowledge, knowledge of students, mathematics pedagogy, and knowledge of professional development. Each has its subcategories. The categories and subcategories have their properties and some levels of bonds among others. Teachers' knowledge for teaching is not static but is dynamic. The knowledge is shaped with the changes of school curriculum and teachers' choice of approaches and learning directions for their professional development. Teacher's subject matter knowledge is aligned with the curriculum, and the students' prior learning. Mathematics pedagogical content knowledge is developed over many years of teaching. It depends on the approaches and directions of teachers' professional development, what they teach and who they teach. Mathematics pedagogical content knowledge of secondary school mathematics teachers should include the alignment of elementary, secondary and post-secondary mathematics fundamental ideas, strategies, mathematics thinking and analysis structures of content. Teacher programs also need to provide approaches and directions of professional development. Inservice teacher programs need to entail teachers' needs for subject matter and pedagogical content knowledge development in their educational system.
Author: Paola Sztajn Publisher: Teachers College Press ISBN: 0807761443 Category : Education Languages : en Pages : 177
Book Description
Designed to strengthen the teaching of mathematics in the elementary grades, this book focuses on helping teachers engage in instruction based on learning trajectories (LTs). Renowned scholars, including professional development researcher Hilda Borko, examine four exemplary projects with details on professional development design, teacher learning, and project implementation. Contributors include Hilda Borko, Douglas H. Clements, Susan B. Empson, Victoria R. Jacobs, and Julie Sarama. “This is an amazingly important and valuable resource for mathematics teachers and leaders at any level. It provides the background and understandings so critical for teachers and teacher leaders to regularly consider and use learning trajectories to inform teacher planning and instruction.” —Dr. Francis (Skip) Fennell, professor emeritus, McDaniel College, and past president of the Association of Mathematics Teacher Educators and the National Council of Teachers of Mathematics “This is the first book that I’ve come across that unpacks what it means to have a framework for student learning at the center of one’s instruction.” —Mary Kay Stein, University of Pittsburgh School of Education “I find this book useful for mathematics educators interested in framing learning trajectories across several domains—including tasks, discourse, curriculum, learners’ understanding, and assessment—to support professional development. Learning trajectories help us make connections among the domains and deepens professional knowledge and understanding.” —Robert Q. Berry III, University of Virginia, and president of the National Council of Teachers of Mathematics
Author: Lianghuo Fan Publisher: World Scientific ISBN: 1783264594 Category : Mathematics Languages : en Pages : 367
Book Description
'The book introduces a background to the phenomena so blatantly disregarded in the reform movements on mathematics education: the consideration of what is knowledge … I find chapter 3 a very important contribution, and one which should be recommended to all teacher educators … A great contribution to the mathematics teacher education scholarship.'Teaching InnovationsThis book responds to the growing interest in the scholarship of mathematics teaching; over the last 20 years the importance of teachers' knowledge for effective teaching has been internationally recognised. For many mathematics teachers, the critical link between practice and knowledge is implied rather than explicitly understood or expressed. This means it can be difficult to assess and thus develop teachers' professional knowledge. The present book is based on two studies investigating exactly how teachers developed their pedagogical knowledge in mathematics from different sources. It describes: The findings in this book have significant implications for teachers, teacher educators, school administrators and educational researchers, as well as policy-makers and school practitioners worldwide.
Author: Publisher: BRILL ISBN: 9004396446 Category : Education Languages : en Pages : 255
Book Description
This book presents a contemporary focus on significant issues in STEM teaching, learning and research that are valuable in preparing students for a digital 21st century. The book chapters cover a wide spectrum of issues and topics using a wealth of research methodologies and methods.
Author: Jane-Jane Lo Publisher: Springer ISBN: 3319025627 Category : Education Languages : en Pages : 321
Book Description
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.
Author: Alan P. Maloney Publisher: IAP ISBN: 1623965691 Category : Education Languages : en Pages : 287
Book Description
The driving forces behind mathematics learning trajectories is the need to understand how children actually learn and make sense of mathematics-how they progress from prior knowledge, through intermediate understandings, to the mathematics target understandings-and how to use these insights to improve instruction and student learning. In this book, readers will come to understand what learning trajectories are, the research and methodology that are necessary for developing them, and gain insight into potential applications of learning trajectories. A synthesis and research outcome in their own right, learning trajectories provide detailed description of instructionally-grounded development of mathematical concepts and reasoning from the perspective of student learning, and, overall, building on decades of accumulated experience in mathematics education research. However, their greater importance may lie in their potential as frameworks that contribute an unprecedented coherence across classroom instruction, professional development, standards, and assessment, by focusing squarely on conceptual understanding and reasoning instead of assessment-driven procedural knowledge. This potential was sufficiently compelling as an organizing framework to have been cited as a basis for the Common Core mathematics standards, the new mathematics learning expectations that are now consistent across most of the United States. (Among the conference attendees were the writers of the Common Core State Standards for Mathematics, at the beginning of the Standards drafting process.) This book is an outgrowth of a conference on learning trajectories, hosted in 2009 at North Carolina State University, which examined research on learning trajectories. An overarching message of the chapters in this volume is that learning trajectories, by focusing on how children's mathematical reasoning develops, are coming into their own as a rigorous underpinning for both instruction and accountability. Some of the learning scientists featured in this volume have played major roles learning trajectories' evolution--from small-scale day-to-day conjectures by individual teachers, to systematic research endeavors that teachers and scientists alike can use to interpret standards, plan instruction, and formatively assess student work. The work in this volume will be of interest to mathematics educators, teachers, and professional development specialists.
Author: Douglas H. Clements Publisher: Routledge ISBN: 1136506942 Category : Education Languages : en Pages : 188
Book Description
The purpose of this special issue is to present several research perspectives on learning trajectories with the intention of encouraging the broader community to reflect on, better define, adopt, adapt, or challenge the concept. The issue begins by briefly introducing learning trajectories. The remaining articles provide elaboration, examples, and discussion of the construct. They purposefully are intended to be illustrative, exploratory, and provocative with regard to learning trajectories construct; they are not a set of verification studies.
Author: Hamsa Venkat Publisher: Routledge ISBN: 1134683715 Category : Education Languages : en Pages : 263
Book Description
Globally, mathematics and science education faces three crucial challenges: an increasing need for mathematics and science graduates; a declining enrolment of school graduates into university studies in these disciplines; and the varying quality of school teaching in these areas. Alongside these challenges, internationally more and more non-specialists are teaching mathematics and science at both primary and secondary levels, and research evidence has revealed how gaps and limitations in teachers’ content understandings can lead to classroom practices that present barriers to students’ learning. This book addresses these issues by investigating how teachers’ content knowledge interacts with their pedagogies across diverse contexts and perspectives. This knowledge-practice nexus is examined across mathematics and science teaching, traversing schooling phases and countries, with an emphasis on contexts of disadvantage. These features push the boundaries of research into teachers’ content knowledge. The book’s combination of mathematics and science enriches each discipline for the reader, and contributes to our understandings of student attainment by examining the nature of specialised content knowledge needed for competent teaching within and across the two domains. Exploring Mathematics and Science Teachers’ Knowledge will be key reading for researchers, doctoral students and postgraduates with a focus on Mathematics, Science and teacher knowledge research.
Author: Jonathan Bostic Publisher: Routledge ISBN: 0429942230 Category : Education Languages : en Pages : 247
Book Description
The aim of this book is to explore measures of mathematics knowledge, spanning K-16 grade levels. By focusing solely on mathematics content, such as knowledge of mathematical practices, knowledge of ratio and proportions, and knowledge of abstract algebra, this volume offers detailed discussions of specific instruments and tools meant for measuring student learning. Written for assessment scholars and students both in mathematics education and across educational contexts, this book presents innovative research and perspectives on quantitative measures, including their associated purpose statements and validity arguments.
Author: Zhaoyun Wang
Author: Zhaoyun Wang
Author: Paola Sztajn
Author: Lianghuo Fan
Author: 
Author: Jane-Jane Lo
Author: Alan P. Maloney
Author: Douglas H. Clements
Author: Hamsa Venkat
Author: Douglas H. Clements
Author: Jonathan Bostic