Teaching Secondary and Middle School Mathematics: 6th Edition (Paperback) book cover

Teaching Secondary and Middle School Mathematics

6th Edition

By Daniel J. Brahier

Routledge

472 pages

Purchasing Options:$ = USD
Paperback: 9780367146511
pub: 2020-03-25
Available for pre-order. Item will ship after 25th March 2020
$74.95
x
Hardback: 9780367146474
pub: 2020-03-25
Available for pre-order. Item will ship after 25th March 2020
$155.00
x


FREE Standard Shipping!

Description

Teaching Secondary and Middle School Mathematics combines the latest developments in research, technology, and standards with a vibrant writing style to help teachers prepare for the excitement and challenges of teaching secondary and middle school mathematics.

The book explores the mathematics teaching profession by examining the processes of planning, teaching, and assessing student progress through practical examples and recommendations. Beginning with an examination of what it means to teach and learn mathematics, the reader is led through the essential components of teaching, concluding with an examination of how teachers continue with professional development throughout their careers. Hundreds of citations are used to support the ideas presented in the text, and specific websites and other resources are presented for future study by the reader. Classroom scenarios are presented to engage the reader in thinking through specific challenges that are common in mathematics classrooms.

The sixth edition has been updated and expanded with particular emphasis on the latest technology, resources, and standards. The reader is introduced to the ways that students think and how to best meet their needs through planning that involves attention to differentiation, as well as how to manage a classroom for success.

Features include:

  • The entire text has been reorganized so that assessment takes a more central role in planning and teaching. Unit 3 (of 5) now addresses the use of summative and formative assessments to inform classroom teaching practices.

● A new feature, "Links and Resources," has been added to each of the 13 chapters. While the book includes a substantial listing of citations and resources after the chapters, five strongly recommended and practical resources are spotlighted at the end of each chapter as an easy reference to some of the most important materials on the topic.

● Approximately 150 new citations have either replaced or been added to the text to reflect the latest in research, materials, and resources that support the teaching of mathematics.

● A Quick Reference Guide has been added to the front of the book to assist the reader in identifying the most useful chapter features by topic.

● A significant revision to Chapter 13 now includes discussions of common teaching assessments used for field experiences and licensure, as well as a discussion of practical suggestions for success in methods and student teaching experiences.

● Chapter 9 on the practical use of classroom technology has been revised to reflect the latest tools available to classroom teachers, including apps that can be run on handheld, personal devices.

An updated Instructor’s Manual features a test bank, sample classroom activities, Powerpoint slides, chapter summaries, and learning outcomes for each chapter, and can be accessed by instructors online at www.routledge.com/9780367146511

Table of Contents

Preface

Acknowledgments

About the Author

Quick Reference Guide

UNIT 1 What Does It Mean to "Do," "Teach," and "Learn" Mathematics?

■ CHAPTER 1 Mathematics as a Process

National and International Assessment Data

Trends in Mathematics and Science Study (TIMSS)

Program for International Student Assessment (PISA)

National Assessment of Educational Progress (NAEP)

How Would You React?

The Need for Reform

21st Century Skills

"Doing" Mathematics

Problem Solving

Mathematical Reasoning

Spotlight on Technology

Communication

Connections and Structure

Representation

Classroom Dialogues

Conclusion

Glossary

Discussion Questions and Activities

Links and Resources

■ CHAPTER 2 Principles of Mathematics Education

The Six Principles

Teaching and Learning

How Would You React?

Access and Equity

Curriculum

Tools and Technology

Spotlight on Technology

Assessment

Professionalism

Classroom Dialogues

Connecting the Principles

Conclusion

Glossary

Discussion Questions and Activities

Links and Resources

■ CHAPTER 3 Learning Theories and Psychology in

Mathematics Education

Research in Mathematics Education

Quantitative and Qualitative Methods

How Would You React?

Experimental and Descriptive Research

Learning Theories in Mathematics

Development of Learning Theory

Behaviorist Theory

Zone of Proximal Development

Communities of Practice

Multiple Intelligences

Mindsets

Bruner’s Stages of Representation

The van Hiele Model

The Inquiry Approach and Constructivist Model

Spotlight on Technology

Inductive versus Deductive Teaching

Classroom Dialogues

Motivation

Ego Versus Mastery Goals

Emotions – Interest and Curiosity

Self-Confidence (Self-Efficacy)

Disposition and Math Anxiety

Conclusion

Glossary

Discussion Questions and Activities

Links and Resources

UNIT 2 Mathematics Curriculum and Planning

■ CHAPTER 4 Standards, Objectives, and Resources

Developing Curriculum Standards—Historical Perspective

How Would You React?

The Common Core State Standards for Mathematics

The Core Curriculum

Traditional versus Integrated Sequences

Tracking

Reasons Why Schools Choose (or Reject) an Integrated Curriculum

Spotlight on Technology

Goals and Objectives in the Mathematics Classroom

Classifying Objectives

Affective Objectives

Cognitive Objectives

Selection and Organization of Resources

Textbooks

Print Resources

Classroom Dialogues

The Internet

Organizing a Resource File

Conclusion

Glossary

Discussion Questions and Activities

Links and Resources

■ CHAPTER 5 Planning for Instruction

Unit Planning

How Would You React?

Lesson Planning

General Information

Standards and Objectives

Materials and Resources

Motivation

Lesson Procedure

Closure

Extension

Assessment

Spotlight on Technology

Sample Lesson Plans

Analysis of Sample Lesson Plan 1

Analysis of Sample Lesson Plan 2

Classroom Dialogues

Lesson Imaging versus Lesson Planning

Reflecting on a Lesson

Conclusion

Glossary

Discussion Questions and Activities

Links and Resources

UNIT 3 Assessment in Mathematics

■ CHAPTER 6 Assessment: Purposes and Strategies

What Is Assessment?

Purposes for Assessment

Test Construction

Preparing Items

Ensuring Validity and Reliability

Scoring Student Work

How Would You React?

Including Review Items

Limitations to Written Tests

Alternate Strategies for Assessing Student Progress

Journals

Open-Ended Questions and Rubrics

Spotlight on Technology

Individual and Team Projects

Observations and Checklists

Interviews

Self-Assessment

Classroom Dialogues

Portfolios

Conclusion

Glossary

Discussion Questions and Activities

Links and Resources

■ CHAPTER 7 Assessment: Standards, Homework, and Grading

NCTM Recommendations on Assessment

The Assessment Standards

How Would You React?

The Assessment Principle

Equity and Assessment

Homework Assignments

Homework Amount and Frequency

Checking Homework Assignments

Spotlight on Technology

Using Homework Assignments in Assessment

Data-Driven Decision Making

Classroom Dialogues

Evaluation: Maintaining and Determining Final Grades

Conclusion

Glossary

Discussion Questions and Activities

Links and Resources

UNIT 4 Mathematics Teaching

■ CHAPTER 8 Teaching and Learning: Tasks, Learning

Environment, and Discourse

Teaching Standards and Related Principles

The NCTM Standards for Teaching and Learning Mathematics

Knowledge Standards

The Teaching and Learning Principle

Selecting Activities and Problems

How Would You React?

Learning Environment

Spotlight on Technology

Classroom Discourse

The Role of Discourse

Questioning Skills

Reading and Literacy

Classroom Dialogues

Cooperative Learning

Structures of Cooperative Learning

Reflective Practices

Conclusion

Glossary

Discussion Questions and Activities

Links and Resources

■ CHAPTER 9 Teaching and Learning: Tools and Technology

How Would You React?

Classroom Tools

Hands-on Manipulative Materials

Spotlight on Technology

Diagrams, Graphs, and Other Discussion Starters

Classroom Technology

Calculators

CAS Technology

Interactive Whiteboards

Mobile Devices

Classroom Dialogues

Dynamic Geometry Software

Document Cameras

Blended Classes and Flipped Classrooms

Conclusion

Glossary

Discussion Questions and Activities

Links and Resources

■ CHAPTER 10 Teaching Number Sense and Algebra

Reasoning and Sense Making

How Would You React?

The Teaching of Number Sense

Sample Lesson Plan: Number Sense

Number Sense—Activities Sampler

Spotlight on Technology

The Teaching of Algebra

Sample Lesson Plan: Algebra

Classroom Dialogues

Algebra—Activities Sampler

Conclusion

Glossary

Discussion Questions and Activities

Links and Resources

CHAPTER 11 Teaching Geometry, Statistics/Probability,

and Discrete Mathematics

The Teaching of Geometry

Sample Lesson Plan: Geometry

How Would You React?

Geometry—Activities Sampler

Spotlight on Technology

The Teaching of Statistics and Probability

Sample Lesson Plan: Statistics and Probability

Statistics and Probability—Activities Sampler

The Teaching of Discrete Mathematics

Sample Lesson Plan: Discrete Mathematics

Classroom Dialogues

Discrete Mathematics—Activities Sampler

A Word on Pre-Calculus and Calculus

Conclusion

Glossary

Discussion Questions and Activities

Links and Resources

UNIT 5 Meeting Individual Student and Teacher Needs

■ CHAPTER 12 Managing a Mathematics Classroom

Defining and Achieving Equity

Students with Special Needs

How Would You React?

Gender

Spotlight on Technology

Ethnic and Cultural Issues

English Language Learners

Classroom Dialogues

Ideas for Meeting Diverse Student Needs

Differentiated Instruction

General Suggestions for Differentiating in the Classroom

Classroom Management Tips

Conclusion

Glossary

Discussion Questions and Activities

Links and Resources

■ CHAPTER 13 The Teacher of Mathematics in the School Community

Working with Parents

How Would You React?

The Supervision and Evaluation of Teachers

Spotlight on Technology

Functioning in a Department

Ongoing Professional Development

Making the Case for Long-Term Development

Classroom Dialogues

Opportunities for Professional Development

The Professional Development Plan

Conclusion

Discussion Questions and Activities

Links and Resources

Bibliographic References and Resources

Index

About the Author

Daniel J. Brahier is a Professor of Mathematics Education at Bowling Green State University in Ohio and Director of the Science and Math Education in ACTION scholarship program at BGSU. He taught middle and high school mathematics for 38 years, and has served as an administrator and consultant.

Subject Categories

BISAC Subject Codes/Headings:
EDU000000
EDUCATION / General