Download or read book Mathematics Teachers Engaging with Representations of Practice written by Orly Buchbinder and published by Springer. This book was released on 2018-01-09 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents innovative approaches and state-of-the-art empirical studies on mathematics teacher learning. It highlights the advantages and challenges of such tools as classroom videos, concept cartoons, simulations, and scenarios. The book details how representations of practice encourage and afford professional development, and describes how these tools help to investigate aspects of teacher expertise, beliefs, and conceptions. In addition, the book identifies the methodological challenges that can emerge and the obstacles educators might encounter when using representations of practice. The book examines the nature of these challenges and provides suggestions for solving them. It offers a variety of different approaches that can help educators to develop professional learning activities for prospective and in-service teachers.
Download or read book Preservice Secondary Mathematics Teachers Learning of Purposeful Questioning and Judicious Telling for Promoting Students Mathematical Thinking written by Benjamin Freeburn and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of teacher education is currently experiencing a shift towards curricula focused on practices for teaching and professional coursework designed around different pedagogies of practice (e.g., decomposition of, representations of, and approximations of practice). Researchers and research-informed documents have identified a variety of mathematics teaching practices, one of which is facilitating classroom mathematics discourse. Further, researchers have identified some key practices that constitute facilitating classroom mathematics discourse such as assessing questions and advancing questions (Smith, Bill, & Hughes, 2008) and judicious telling (Lobato, Clarke, & Ellis, 2005). In a methods course designed to engage preservice secondary mathematics teachers (PSMTs) in course activities designed around pedagogies of practice and focused on Types of Teacher Talk (TTT) (i.e., assessing questions, advancing questions, and judicious telling), this study sought to examine what PSMTs learn about TTT and in what ways the course activities were connected to their learning. The design of the study was informed by the interpretive research genre and the study employed qualitative data collection and analysis techniques to explore four case studies of the PSMTs' learning of TTT. The results of the study indicate that the PSMTs, over the course of the semester, constructed conceptions of TTT that were oriented towards focusing on and promoting students' mathematical thinking. In addition, while there were similarities among the PSMTs' conceptions of TTT, they constructed these conceptions in individually distinct ways. Study implications include the design of preservice teacher education professional coursework that engages preservice teachers in multiple and extended experiences with a small set of teaching practices.
Download or read book We Reason We Prove for ALL Mathematics written by Fran Arbaugh and published by Corwin Press. This book was released on 2018-08-08 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sharpen concrete teaching strategies that empower students to reason-and-prove How do teachers and students benefit from engaging in reasoning-and-proving? What strategies can teachers use to support students’ capacity to reason-and-prove? What does reasoning-and-proving instruction look like? We Reason & We Prove for ALL Mathematics helps mathematics teachers in grades 6-12 engage in the critical practice of reasoning-and-proving and support the development of reasoning-and-proving in their students. The phrase "reasoning-and-proving" describes the processes of identifying patterns, making conjectures, and providing arguments that may or may not qualify as proofs – processes that reflect the work of mathematicians. Going beyond the idea of "formal proof" traditionally relegated only to geometry, this book transcends all mathematical content areas with a variety of activities for teachers to learn more about reasoning-and-proving and about how to support students’ capacities to engage in this mathematical thinking through: Solving and discussing high-level mathematical tasks Analyzing narrative cases that make the relationship between teaching and learning salient Examining and interpreting student work that features a range of solution strategies, representations, and misconceptions Modifying tasks from curriculum materials so that they better support students to reason-and-prove Evaluating learning environments and making connections between key ideas about reasoning-and-proving and teaching strategies We Reason & We Prove for ALL Mathematics is designed as a learning tool for practicing and pre-service mathematics teachers and can be used individually or in a group. No other book tackles reasoning-and-proving with such breadth, depth, and practical applicability. Classroom examples, case studies, and sample problems help to sharpen concrete teaching strategies that empower students to reason-and-prove!
Download or read book Tep Vol 29 N4 written by Teacher Education and Practice and published by Rowman & Littlefield. This book was released on 2016-10-11 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teacher Education and Practice, a peer-refereed journal, is dedicated to the encouragement and the dissemination of research and scholarship related to professional education. The journal is concerned, in the broadest sense, with teacher preparation, practice and policy issues related to the teaching profession, as well as being concerned with learning in the school setting. The journal also serves as a forum for the exchange of diverse ideas and points of view within these purposes. As a forum, the journal offers a public space in which to critically examine current discourse and practice as well as engage in generative dialogue. Alternative forms of inquiry and representation are invited, and authors from a variety of backgrounds and diverse perspectives are encouraged to contribute. Teacher Education & Practice is published by Rowman & Littlefield.
Download or read book Primary Mathematics Volume 4 written by Penelope Baker and published by Cambridge University Press. This book was released on 2023-08-31 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Primary Mathematics: Integrating Theory with Practice is a comprehensive introduction to teaching mathematics in Australian primary schools. Closely aligned with the Australian Curriculum, it provides a thorough understanding of measurement, geometry, patterns and algebra, data and statistics, and chance and probability. The fourth edition provides support for educators in key aspects of teaching: planning, assessment, digital technologies, diversity in the classroom and integrating mathematics content with other learning areas. It also features a new chapter on the role of education support in the mathematics classroom. Each chapter has been thoroughly revised and is complemented by classroom snapshots demonstrating practical application of theories, activities to further understanding and reflection questions to guide learning. New in this edition are 'Concepts to consider', which provide a guided explanation and further discussion of key concepts to support pre- and in-service teachers' learning and teaching of the fundamentals of mathematics.
Download or read book Principles to Actions written by National Council of Teachers of Mathematics and published by National Council of Teachers of Mathematics, Incorporated. This book was released on 2014-02 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers guidance to teachers, mathematics coaches, administrators, parents, and policymakers. This book: provides a research-based description of eight essential mathematics teaching practices ; describes the conditions, structures, and policies that must support the teaching practices ; builds on NCTM's Principles and Standards for School Mathematics and supports implementation of the Common Core State Standards for Mathematics to attain much higher levels of mathematics achievement for all students ; identifies obstacles, unproductive and productive beliefs, and key actions that must be understood, acknowledged, and addressed by all stakeholders ; encourages teachers of mathematics to engage students in mathematical thinking, reasoning, and sense making to significantly strengthen teaching and learning.
Download or read book Problem Solving in Mathematics Instruction and Teacher Professional Development written by Patricio Felmer and published by Springer Nature. This book was released on 2019-11-22 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent research in problem solving has shifted its focus to actual classroom implementation and what is really going on during problem solving when it is used regularly in classroom. This book seeks to stay on top of that trend by approaching diverse aspects of current problem solving research, covering three broad themes. Firstly, it explores the role of teachers in problem-solving classrooms and their professional development, moving onto—secondly—the role of students when solving problems, with particular consideration of factors like group work, discussion, role of students in discussions and the effect of students’ engagement on their self-perception and their view of mathematics. Finally, the book considers the question of problem solving in mathematics instruction as it overlaps with problem design, problem-solving situations, and actual classroom implementation. The volume brings together diverse contributors from a variety of countries and with wide and varied experiences, combining the voices of leading and developing researchers. The book will be of interest to any reader keeping on the frontiers of research in problem solving, more specifically researchers and graduate students in mathematics education, researchers in problem solving, as well as teachers and practitioners.
Download or read book The Work of Mathematics Teacher Educators written by Tad Watanabe and published by . This book was released on 2004 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Teaching Math to Multilingual Students Grades K 8 written by Kathryn B. Chval and published by Corwin Press. This book was released on 2021-01-07 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using strengths-based approaches to support development in mathematics It’s time to re-imagine what’s possible and celebrate the brilliance multilingual learners bring to today’s classrooms. Innovative teaching strategies can position these learners as leaders in mathematics. Yet, as the number of multilingual learners in North American schools grows, many teachers have not had opportunities to gain the competencies required to teach these learners effectively, especially in disciplines such as mathematics. Multilingual learners—historically called English Language Learners—are expected to interpret the meaning of problems, analyze, make conjectures, evaluate their progress, and discuss and understand their own approaches and the approaches of their peers in mathematics classrooms. Thus, language plays a vital role in mathematics learning, and demonstrating these competencies in a second (or third) language is a challenging endeavor. Based on best practices and the authors’ years of research, this guide offers practical approaches that equip grades K-8 teachers to draw on the strengths of multilingual learners, partner with their families, and position these learners for success. Readers will find: • A focus on multilingual students as leaders • A strength-based approach that draws on students’ life experiences and cultural backgrounds • An emphasis on maintaining high expectations for learners’ capacity for mastering rigorous content • Strategies for representing concepts in different formats • Stop and Think questions throughout and reflection questions at the end of each chapter • Try It! Implementation activities, student work examples, and classroom transcripts With case studies and activities that provide a solid foundation for teachers’ growth and exploration, this groundbreaking book will help teachers and teacher educators engage in meaningful, humanized mathematics instruction.
Download or read book Teacher Learning of Ambitious and Equitable Mathematics Instruction written by Ilana Horn and published by Routledge. This book was released on 2022-03-17 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing on sociocultural learning theory, this book offers a groundbreaking theory of secondary mathematics teacher learning in schools, focusing on the transformation of instruction as a conceptual change project to achieve ambitious and equitable mathematics teaching. Despite decades of research showing the importance of ambitious and equitable teaching, few inroads have been made in most U.S. classrooms, and teacher learning in general remains undertheorized in most educational research. Illustrating their theory through closely documented case studies of secondary mathematics teachers’ learning and instructional practices, authors Horn and Garner explore the key conceptual issues teachers are required to work through in order to more fully realize ambitious and equitable teaching in their classrooms. By theorizing teacher learning from a sociocultural perspective and focusing on instructional practice, the authors make a unique contribution to the field of teacher learning. This book offers researchers, scholars, and teacher educators new theoretical and methodological tools for the elusive phenomenon of teacher learning, and provides instructional leaders and coaches with practical examples of how teachers shift their thinking and practice.
Download or read book Mathematical Problem Posing written by Florence Mihaela Singer and published by Springer. This book was released on 2015-06-12 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematics education community continues to contribute research-based ideas for developing and improving problem posing as an inquiry-based instructional strategy for enhancing students’ learning. A large number of studies have been conducted which have covered many research topics and methodological aspects of teaching and learning mathematics through problem posing. The Authors' groundwork has shown that many of these studies predict positive outcomes from implementing problem posing on: student knowledge, problem solving and posing skills, creativity and disposition toward mathematics. This book examines, in-depth, the contribution of a problem posing approach to teaching mathematics and discusses the impact of adopting this approach on the development of theoretical frameworks, teaching practices and research on mathematical problem posing over the last 50 years.
Download or read book Mathematics as the Science of Patterns written by Patrick M. Jenlink and published by IAP. This book was released on 2022-02-01 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics as the Science of Patterns: Making the Invisible Visible to Students through Teaching introduces the reader to a collection of thoughtful, research-based works by authors that represent current thinking about mathematics, mathematics education, and the preparation of mathematics teachers. Each chapter focuses on mathematics teaching and the preparation of teachers who will enter classrooms to instruct the next generation of students in mathematics. The value of patterns to the teaching and learning of mathematics is well understood, both in terms of research and application. When we involve or appeal to pattern in teaching mathematics, it is usually because we are trying to help students to extract greater meaning, or enjoyment, or both, from the experience of learning environments within which they are occupied, and perhaps also to facilitate remembering. As a general skill it is thought that the ability to discern a pattern is a precursor to the ability to generalize and abstract, a skill essential in the early years of learning and beyond. Research indicates that the larger problem in teaching mathematics does not lie primarily with students; rather it is with the teachers themselves. In order to make changes for students there first needs to be a process of change for teachers. Understanding the place of patterns in learning mathematics is a predicate to understanding how to teach mathematics and how to use pedagogical reasoning necessary in teaching mathematics. Importantly, the lack of distinction created by the pedagogical use of patterns is not immediately problematic to the student or the teacher. The deep-seated cognitive patterns that both teachers and students bring to the classroom require change. Chapter 1 opens the book with a focus on mathematics as the science of patterns and the importance of patterns in mathematical problem solving, providing the reader with an introduction. The authors of Chapter 2 revisit the work of Po lya and the development and implementation of problem solving in mathematics. In Chapter 3, the authors present an argument for core pedagogical content knowledge in mathematics teacher preparation. The authors of Chapter 4 focus on preservice teachers’ patterns of conception as related to understanding number and operation. In Chapter 5 the authors examine the role of visual representation in exploring proportional reasoning, denoting the importance of helping learners make their thinking visible. The authors of Chapter 6 examine patterns and relationships, and the importance of each in assisting students’ learning and development in mathematical understanding. The authors of Chapter 7 examine the use of worked examples as a scalable practice, with emphasis on the importance of worked examples in teaching fraction magnitude and computation is discussed. In Chapter 8, the authors expand on the zone of proximal development to investigate the potential of Zankov’s Lesson in terms of students analyzing numerical equalities. The authors of Chapter 9 focus on high leverage mathematical practices in elementary pre-service teacher preparation, drawing into specific relief the APEX cycle to develop deep thinking. In Chapter 10, the author focuses on number talks and the engagement of students in mathematical reasoning, which provides opportunities for students to be sensemakers of mathematics. Chapter 11 presents an epilogue, focusing on the importance of recognizing the special nature of mathematics knowledge for teaching.
Download or read book Activating Math Talk written by Paola Sztajn and published by Corwin. This book was released on 2020-09-24 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Achieve High-Quality Mathematics Discourse With Purposeful Talk Techniques Many mathematics teachers agree that engaging students in high quality discourse is important for their conceptual learning, but successfully promoting such discourse in elementary classrooms—with attention to the needs of every learner—can be a challenge. Activating Math Talk tackles this challenge by bringing practical, math-specific, productive discourse techniques that are applicable to any lesson or curriculum. Framed around 11 student-centered discourse techniques, this research-based book connects purposeful instructional techniques to specific lesson goals and includes a focus on supporting emergent multilingual learners. You will be guided through each technique with Classroom examples of tasks and techniques spanning grades K–5 Reflection moments to help you consider how key ideas relate to your own instruction Classroom vignettes that illustrate the techniques in action and provide opportunities to analyze and prepare for your own implementation Group discussion questions for engaging with colleagues in your professional community Achieving high-quality mathematics discourse is within your reach using the clear-cut techniques that activates your math talk efforts to promote every student’s conceptual learning.
Download or read book International Handbook of Mathematics Teacher Education Volume 2 written by and published by BRILL. This book was released on 2019-12-16 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tools and Processes in Mathematics Teacher Education describes and analyze various promising tools and processes, from different perspectives, aimed at facilitating mathematics teacher learning/development. It provides insights of how mathematics teacher educators think about and approach their work with teachers.
Download or read book The Handbook of Mathematics Teacher Education Volume 2 written by and published by BRILL. This book was released on 2008-01-01 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Mathematics Teacher Education, the first of its kind, addresses the learning of mathematics teachers at all levels of schooling to teach mathematics, and the provision of activity and programmes in which this learning can take place. It consists of four volumes. Volume 2, Tools and Processes in Mathematics Teacher Education, focuses on the “how” of mathematics teacher education.
Download or read book Transform Your Math Class Using Asset Based Teaching for Grades 6 12 written by Michael D. Steele and published by Corwin Press. This book was released on 2024-07-19 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foster a love of mathematics by creating a more inclusive and empowering learning environment through asset-based teaching! An asset-based perspective on math education means starting with what students already know instead of focusing on what’s missing. This approach elevates student thinking and reasoning skills. In this way, educators acknowledge that all students bring prior experiences, strengths, talents, and resources to the learning process and can contribute meaningfully in an authentic learning environment. Transform Your Math Class Using Asset-Based Teaching for Grades 6-12 provides insight into asset-based perspectives in mathematics education to create an environment where all students feel valued and capable of being doers of mathematics. In the book, Michael Steele and Joleigh Honey highlight the importance of using language, instructional routines, and systemic structure that positively impact student engagement, their math identity, and ultimately their outcomes. Providing a wealth of knowledge and practical strategies that can be used to transform math classrooms into inclusive, supportive, and empowering learning environments, this book: Introduces an asset-based perspective that focuses on students′ strengths, assets, and potential to learn mathematics Includes a variety of frameworks and tools that teachers can use to build and grow their sense of asset-based perspectives Offers strategies for promoting a growth mindset in mathematics, encouraging productive struggle in math, and promoting equitable math instruction Supports teachers in reflecting on their decisions, self-awareness, and self-management Includes a companion online study guide to support teachers individually or as part of a professional learning community Adopting asset-based perspectives is about movement over time, not about flipping a switch. This book paves the path for an asset-based journey that ultimately helps to transform our math classrooms and advance all students’ learning and development.
Download or read book Routines for Reasoning written by Grace Kelemanik and published by Heinemann Educational Books. This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Routines can keep your classroom running smoothly. Now imagine having a set of routines focused not on classroom management, but on helping students develop their mathematical thinking skills. Routines for Reasoning provides expert guidance for weaving the Standards for Mathematical Practice into your teaching by harnessing the power of classroom-tested instructional routines. Grace Kelemanik, Amy Lucenta, and Susan Janssen Creighton have applied their extensive experience teaching mathematics and supporting teachers to crafting routines that are practical teaching and learning tools. -- Provided by publisher.
