Expertise in Mathematics Instruction
Expertise in Mathematics Instruction

Author: Yeping Li

Publisher: Springer Science & Business Media

Published: 2010-12-15

Total Pages: 374

ISBN-13: 1441977074

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Accumulated research findings in past decades have led to the common knowledge that teachers’ professional knowledge is essential to effective classroom instruction. However, there is still very limited understanding about the nature of teachers’ expertise in mathematics instruction. Expertise in Mathematics Instruction addresses this need clearly and concisely. In particular, it examines all aspects of emphases employed to characterize the nature of expertise in mathematics instruction from both researchers’ and practitioners’ perspectives. Moreover, with research contributions from both the East and the West, this book also examines ideas pertinent to fostering and demonstrating expertise in mathematics instruction within different system contexts. This book will raise questions and issues for mathematics education researchers to guide a critical examination of what can be learned from other education systems. Expertise in Mathematics Instruction builds on its theoretical and methodological approach with contributions from international experts in the field. Additionally, a review of related research from mathematics education serves as an introduction to the new research in both Eastern and Western settings. Concluding this resource is a reflection on the benefits of this international collaboration and possible research directions for the future. The final chapter cohesively joins traditional and current research for action. Expertise in Mathematics Instruction is of interest to researchers in mathematics education, mathematics teacher educators, and mathematics educators.

Mathematical Knowledge in Teaching
Mathematical Knowledge in Teaching

Author: Tim Rowland

Publisher: Springer Science & Business Media

Published: 2011-01-06

Total Pages: 300

ISBN-13: 904819766X

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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.

The New Art and Science of Teaching
The New Art and Science of Teaching

Author: Robert J. Marzano

Publisher:

Published: 2018-02-14

Total Pages: 146

ISBN-13: 9781947604032

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This title is a greatly expanded volume of the original Art and Science of Teaching, offering a competency-based education framework for substantive change based on Dr. Robert Marzano's 50 years of education research. While the previous model focused on teacher outcomes, the new version places focus on student learning outcomes, with research-based instructional strategies teachers can use to help students grasp the information and skills transferred through their instruction. Throughout the book, Marzano details the elements of three overarching categories of teaching, which define what must happen to optimize student learning: students must receive feedback, get meaningful content instruction, and have their basic psychological needs met. Gain research-based instructional strategies and teaching methods that drive student success: Explore instructional strategies that correspond to each of the 43 elements of The New Art and Science of Teaching, which have been carefully designed to maximize student engagement and achievement. Use ten design questions and a general framework to help determine which classroom strategies you should use to foster student learning. Analyze the behavioral evidence that proves the strategies of an element are helping learners reach their peak academic success. Study the state of the modern standards movement and what changes must be made in K-12 education to ensure high levels of learning for all. Download free reproducible scales specific to the elements in The New Art and Science of Teaching. Contents: Chapter 1: Providing and Communicating Clear Learning Goals Chapter 2: Conducting Assessment Chapter 3: Conducting Direct Instruction Lessons Chapter 4: Practicing and Deepening Lessons Chapter 5: Implementing Knowledge Application Lessons Chapter 6: Using Strategies That Appear in All Types of Lessons Chapter 7: Using Engagement Strategies Chapter 8: Implementing Rules and Procedures Chapter 9: Building Relationships Chapter 10: Communicating High Expectations Chapter 11: Making System Changes

Strengths-Based Teaching and Learning in Mathematics
Strengths-Based Teaching and Learning in Mathematics

Author: Beth McCord Kobett

Publisher: Corwin Press

Published: 2020-02-27

Total Pages: 189

ISBN-13: 1544374925

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"This book is a game changer! Strengths-Based Teaching and Learning in Mathematics: 5 Teaching Turnarounds for Grades K- 6 goes beyond simply providing information by sharing a pathway for changing practice. . . Focusing on our students’ strengths should be routine and can be lost in the day-to-day teaching demands. A teacher using these approaches can change the trajectory of students’ lives forever. All teachers need this resource! Connie S. Schrock Emporia State University National Council of Supervisors of Mathematics President, 2017-2019 NEW COVID RESOURCES ADDED: A Parent’s Toolkit to Strengths-Based Learning in Math is now available on the book’s companion website to support families engaged in math learning at home. This toolkit provides a variety of home-based activities and games for families to engage in together. Your game plan for unlocking mathematics by focusing on students’ strengths. We often evaluate student thinking and their work from a deficit point of view, particularly in mathematics, where many teachers have been taught that their role is to diagnose and eradicate students’ misconceptions. But what if instead of focusing on what students don’t know or haven’t mastered, we identify their mathematical strengths and build next instructional steps on students’ points of power? Beth McCord Kobett and Karen S. Karp answer this question and others by highlighting five key teaching turnarounds for improving students’ mathematics learning: identify teaching strengths, discover and leverage students’ strengths, design instruction from a strengths-based perspective, help students identify their points of power, and promote strengths in the school community and at home. Each chapter provides opportunities to stop and consider current practice, reflect, and transfer practice while also sharing · Downloadable resources, activities, and tools · Examples of student work within Grades K–6 · Real teachers’ notes and reflections for discussion It’s time to turn around our approach to mathematics instruction, end deficit thinking, and nurture each student’s mathematical strengths by emphasizing what makes them each unique and powerful.

Making Sense of Mathematics for Teaching High School
Making Sense of Mathematics for Teaching High School

Author: Edward C. Nolan

Publisher: Solution Tree Press

Published: 2016-05-19

Total Pages: 231

ISBN-13: 1942496494

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Develop a deep understanding of mathematics by grasping the context and purpose behind various strategies. This user-friendly resource presents high school teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Combine student understanding of functions and algebraic concepts so that they can better decipher the world. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, or modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Gain clarity about the most productive progression of mathematical teaching and learning for high school. Watch short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction Equations and Functions Structure of Equations Geometry Types of Functions Function Modeling Statistics and Probability Epilogue: Next Steps Appendix: Weight Loss Study Data References Index

Making Sense of Mathematics for Teaching Grades 6-8
Making Sense of Mathematics for Teaching Grades 6-8

Author: Edward C. Nolan

Publisher: Solution Tree Press

Published: 2016-04-13

Total Pages: 268

ISBN-13: 194249646X

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Develop a deep understanding of mathematics. This user-friendly resource presents grades 6–8 teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Make connections between elementary fraction-based content to fraction operations taught in the middle grades. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, and modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to grow as both learners and teachers of mathematics. Gain clarity about the most productive progression of mathematical teaching and learning for grades 6–8. Access short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction 1 Fraction Operations and Integer Concepts and Operations 2 Ratios and Proportional Relationships 3 Equations, Expressions, and Inequalities 4 Functions 5 Measurement and Geometry 6 Statistics and Probability Epilogue: Next Steps References and Resources Index

Strategies for Mathematics Instruction and Intervention, K-5
Strategies for Mathematics Instruction and Intervention, K-5

Author: Chris Weber

Publisher: Solution Tree Press

Published: 2015-01-08

Total Pages: 256

ISBN-13: 193676332X

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Build a solid mathematics program by emphasizing prioritized learning goals and integrating RTI into your curriculum. Prepare students to move forward in mathematics learning, and ensure their continued growth in critical thinking and problem solving. With this book, you’ll discover an RTI model that provides the mathematics instruction, assessment, and intervention strategies necessary to meet the complex, diverse needs of students.

Teacher Learning of Ambitious and Equitable Mathematics Instruction
Teacher Learning of Ambitious and Equitable Mathematics Instruction

Author: Ilana Horn

Publisher: Routledge

Published: 2022-03-17

Total Pages: 284

ISBN-13: 1000556387

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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.

Critical Issues in Mathematics Education
Critical Issues in Mathematics Education

Author: Bharath Sriraman

Publisher: IAP

Published: 2009-06-01

Total Pages: 502

ISBN-13: 1607522187

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The word "critical" in the title of this collection has three meanings, all of which are relevant. One meaning, as applied to a situation or problem, is "at a point of crisis". A second meaning is "expressing adverse or disapproving comments or judgments". A third is related to the verb "to critique", meaning "to analyze the merits and faults of". The authors contributing to this book pose challenging questions, from multiple perspectives, about the roles of mathematics in society and the implications for education. Traditional reasons for teaching mathematics include: preparing a new generation of mathematics researchers and a cadre of technically competent users of mathematics; training students to think logically; and because mathematics is as much part of cultural heritage as literature or music. These reasons remain valid, though open to critique, but a deeper analysis is required that recognizes the roles of mathematics in framing many aspects of contemporary society, that will connect mathematics education to the lived experiences of students, their communities, and society in general, and that acknowledges the global ethical responsibilities of mathematicians and mathematics educators. The book is organized in four sections (1) Mathematics education: For what and why? (2) Globalization and cultural diversity, (3) Mathematics, education, and society and (4) Social justice in, and through, mathematics education The chapters address fundamental issues such as the relevance of school mathematics in people's lives; creating a sense of agency for the field of mathematics education, and redefining the relationship between mathematics as discipline, mathematics as school subject and mathematics as part of people's lives.

The 'Resource' Approach to Mathematics Education
The 'Resource' Approach to Mathematics Education

Author: Luc Trouche

Publisher: Springer Nature

Published: 2019-11-29

Total Pages: 564

ISBN-13: 303020393X

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This edited volume will help educators better analyze methodological and practical tools designed to aid classroom instruction. It features papers that explore the need to create a system in order to fully meet the uncertainties and developments of modern educational phenomena. These have emerged due to the abundance of digital resources and new forms of collective work. The collected papers offer new perspectives to a rising field of research known as the Documentational Approach to Didactics. This framework was first created by the editors of this book. It seeks to develop a deeper understanding of mathematics teaching expertise. Readers will gain insight into how to meet the theoretical questions brought about by digitalization. These include: how to analyze teachers’ work when they prepare for their teaching, how to conceptualize the relationships between individual and collective work, and how to follow the related processes over the long term. The contributors also provide a comparative view in terms of contrasting selected phenomena across different educational cultures and education systems. For instance, they consider how differences in curriculum resources are available to teachers and how teachers make use of them to shape instruction. Coverage also considers the extent to which teachers make use of additional material, particularly those available through the global marketplace on the Internet. This book builds on works from the Re(s)sources 2018 Conference, Understanding teachers’ work through their interactions with resources for teaching, held in Lyon, France.