The Language of Mathematics: How the Teacher's Knowledge of Mathematics Affects Instruction

by Patrick M. Jenlink

Overview

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.

Product Details

ISBN-13:	9781475854794
Publisher:	Bloomsbury Academic
Publication date:	02/04/2020
Pages:	220
Product dimensions:	6.00(w) x 9.00(h) x 0.62(d)

About the Author

Patrick M. Jenlink is Regents Professor, the E.J. Campbell Endowed Chair of Educational Leadership, and Professor of doctoral studies in the Department of Secondary Education and Educational Leadership, Stephen F. Austin State University.

Table of Contents

TABLE OF CONTENTS

Preface

Acknowledgements

Chapter 1. Understanding the Language and Knowledge of Mathematics: Preparing Mathematics Teachers of Substantive Knowledge

Patrick M. Jenlink

Chapter 2. Cultivating Dispositions for Teaching and Learning Elementary Mathematics

Michelle C. Hughes

Chapter 3. Preservice Elementary Education Majors’ Attitudes about Mathematics: A Semantic Differential

Carmen M. Latterell and Janelle L. Wilson

Chapter 4. Addressing Math Phobia at its Source: A Case Study

Melinda (Mindy) Eichhorn and Courtney Lacson

Chapter 5. A Teacher’s Perspective of Quantitative Literacy in Middle School Mathematics

Heather Crawford-Ferre and Diana L. Moss

Chapter 6. Something Doesn’t Add Up: Math Teachers and Student-centered Pedagogy

David Nurenberg and Se-Ah Kwon Siegel

Chapter 7. A Phenomenological Study: Incorporating the History of Mathematics from the Perspectives of Teachers

Sinem Sozen Ozdogan, Didem Akyuz and Erdinc Cakiroglu

Chapter 8. Professional Development to Support the Learning and Teaching of Geometry: Examining the Impact on Teacher Knowledge, Instructional Practice, and Student Learning in Two Contexts

Jennifer K. Jacobs, Karen Koellner, Nanette Seago, Helen Garnier, and Chao Wang

Chapter 9. Complex Adaptive Model of Algebra Professional Development

Sarah Smitherman Pratt and Colleen McLean Eddy

Chapter 10. Epilogue: Looking Toward the Future of Mathematics Teacher Preparation

Patrick M. Jenlink

About the Editor and Authors

Editorial Reviews

Drawing on multiple quantitative and qualitative research methods, this collection of essays regarding in-service teacher training provides valuable information to many different stakeholders in mathematics education. Math educators at all levels will find value in the overarching framework that summarizes mathematical knowledge for teaching. Moreover, courses on math methods will benefit from the discussions on the role of teachers in promoting positive dispositions toward math, reducing math anxiety, and combating apathy toward the subject by demonstrating the utility of mathematics. The needs of in-service teachers are also addressed through sections on content-focused professional development as a means of driving instructional change in the classroom. Throughout the volume, the importance of a rich understanding of math is evident, from both mathematicians' and teachers' points of view. This book is well suited for math educators at two- and four-year universities and for those who mentor pre-service or in-service teachers. Summing Up: Recommended. Lower-division undergraduates through faculty.” —Choice Reviews

“The Language of Mathematics presents studies on the types of knowledge and dispositions that mathematics teachers need to be effective. The authors offer various perspectives on preparing future mathematics teachers to address both what and how students are learning.” —Kadian M. Callahan, Assistant Dean for Faculty and Student Success, Associate Professor of Mathematics Education, College of Science and Mathematics, Kennesaw State University

“The Language of Mathematics: How the Teacher’s Knowledge of Mathematics Affects Instruction gives its readers effective, research-based strategies stated in voices from the field. It demonstrates the complexity of math learning and teaching, especially how technical components can be intricately connected with psychological processes. This book is an excellent tool for fostering dialogic inquiry among future teachers, teacher educators, and content specialists.” —Rui Kang

“The Language of Mathematics: How the Teacher’s Knowledge of Mathematics Affects Instruction is timely and important. Research reported in the book sheds light on the knowledge needed to teach mathematics in ways that motivate and foster positive attitudes toward mathematics. The book may serve as a resource for mathematics teacher preparation courses.” —Dr. James A. Telese, Professor of Mathematics Education, Department of Teaching and Learning, The University of Texas Rio Grande Valley

“This book is significant for future teachers and teacher educators as it focuses on the fundamental knowledge and pedagogy essential for preparing teachers to teach K-12 mathematics. As a mathematics educator, I found this book expanded my understanding of how that mathematics knowledge requires a multidimensional teaching approach…. This book is an excellent tool for teacher educators and future teachers. Jenlink’s book provides a broad overview of field-based research that examines the consequences of content, pedagogical experience, and knowledge for teaching, with extensive further reading through substantial reference lists. Collectively, the book offers eight effective research chapters that contribute to current knowledge about teacher education programs. The link between the language of mathematics and knowledge of mathematics and mastering the language of mathematics is a fundamental part of teaching mathematics to all learners. I would recommend this book to mathematics educators, including policymakers, researchers, practitioners, and teacher educators.” —Educational Studies In Mathematics

From the Publisher

The Language of Mathematics presents studies on the types of knowledge and dispositions that mathematics teachers need to be effective. The authors offer various perspectives on preparing future mathematics teachers to address both what and how students are learning.

Kadian M. Callahan

The Language of Mathematics: How the Teacher’s Knowledge of Mathematics Affects Instruction gives its readers effective, research-based strategies stated in voices from the field. It demonstrates the complexity of math learning and teaching, especially how technical components can be intricately connected with psychological processes. This book is an excellent tool for fostering dialogic inquiry among future teachers, teacher educators, and content specialists.

Rui Kang

This book is significant for future teachers and teacher educators as it focuses on the fundamental knowledge and pedagogy essential for preparing teachers to teach K-12 mathematics. As a mathematics educator, I found this book expanded my understanding of how that mathematics knowledge requires a multidimensional teaching approach…. This book is an excellent tool for teacher educators and future teachers. Jenlink’s book provides a broad overview of field-based research that examines the consequences of content, pedagogical experience, and knowledge for teaching, with extensive further reading through substantial reference lists. Collectively, the book offers eight effective research chapters that contribute to current knowledge about teacher education programs. The link between the language of mathematics and knowledge of mathematics and mastering the language of mathematics is a fundamental part of teaching mathematics to all learners. I would recommend this book to mathematics educators, including policymakers, researchers, practitioners, and teacher educators.

Educational Studies In Mathematics

Drawing on multiple quantitative and qualitative research methods, this collection of essays regarding in-service teacher training provides valuable information to many different stakeholders in mathematics education. Math educators at all levels will find value in the overarching framework that summarizes mathematical knowledge for teaching. Moreover, courses on math methods will benefit from the discussions on the role of teachers in promoting positive dispositions toward math, reducing math anxiety, and combating apathy toward the subject by demonstrating the utility of mathematics. The needs of in-service teachers are also addressed through sections on content-focused professional development as a means of driving instructional change in the classroom. Throughout the volume, the importance of a rich understanding of math is evident, from both mathematicians' and teachers' points of view. This book is well suited for math educators at two- and four-year universities and for those who mentor pre-service or in-service teachers. Summing Up: Recommended. Lower-division undergraduates through faculty.

Choice

The Language of Mathematics: How the Teacher’s Knowledge of Mathematics Affects Instruction is timely and important. Research reported in the book sheds light on the knowledge needed to teach mathematics in ways that motivate and foster positive attitudes toward mathematics. The book may serve as a resource for mathematics teacher preparation courses.

Dr. James A. Telese

Drawing on multiple quantitative and qualitative research methods, this collection of essays regarding in-service teacher training provides valuable information to many different stakeholders in mathematics education. Math educators at all levels will find value in the overarching framework that summarizes mathematical knowledge for teaching. Moreover, courses on math methods will benefit from the discussions on the role of teachers in promoting positive dispositions toward math, reducing math anxiety, and combating apathy toward the subject by demonstrating the utility of mathematics. The needs of in-service teachers are also addressed through sections on content-focused professional development as a means of driving instructional change in the classroom. Throughout the volume, the importance of a rich understanding of math is evident, from both mathematicians' and teachers' points of view. This book is well suited for math educators at two- and four-year universities and for those who mentor pre-service or in-service teachers. Summing Up: Recommended. Lower-division undergraduates through faculty.

Choice Reviews

Drawing on multiple quantitative and qualitative research methods, this collection of essays regarding in-service teacher training provides valuable information to many different stakeholders in mathematics education. Math educators at all levels will find value in the overarching framework that summarizes mathematical knowledge for teaching. Moreover, courses on math methods will benefit from the discussions on the role of teachers in promoting positive dispositions toward math, reducing math anxiety, and combating apathy toward the subject by demonstrating the utility of mathematics. The needs of in-service teachers are also addressed through sections on content-focused professional development as a means of driving instructional change in the classroom. Throughout the volume, the importance of a rich understanding of math is evident, from both mathematicians' and teachers' points of view. This book is well suited for math educators at two- and four-year universities and for those who mentor pre-service or in-service teachers. Summing Up: Recommended. Lower-division undergraduates through faculty.

CHOICE