Teaching Secondary and Middle School Mathematics: 5th Edition (Paperback) book cover

Teaching Secondary and Middle School Mathematics

5th Edition

By Daniel J. Brahier

Routledge

470 pages | 165 B/W Illus.

Look Inside
Purchasing Options:$ = USD
Paperback: 9781138922785
pub: 2016-03-01
$82.95
x
Hardback: 9781138922778
pub: 2016-03-07
$170.00
x
eBook (VitalSource) : 9781315685502
pub: 2016-02-12
from $41.48


FREE Standard Shipping!

Description

Teaching Secondary and Middle School Mathematics combines the latest developments in research, standards, and technology with a vibrant writing style to help teachers prepare for the excitement and challenges of teaching secondary and middle school mathematics today. In the fully revised fifth edition, scholar and mathematics educator Daniel Brahier invites teachers to investigate the nature of the mathematics curriculum and reflect on research-based "best practices" as they define and sharpen their own personal teaching styles.

The fifth edition has been updated and expanded with a particular emphasis on the continued impact of the Common Core State Standards for Mathematics and NCTM’s just-released Principles to Actions, as well as increased attention to teaching with technology, classroom management, and differentiated instruction.

Features include:

A full new Chapter 7 on selection and use of specific tools and technology combined with "Spotlight on Technology" features throughout clearly illustrate the practical aspects of how technology can be used for teaching or professional development.

Foundational Chapters 1 and 2 on the practices and principles of mathematics education have been revised to build directly on Common Core State Standards for Mathematics and Principles to Actions, with additional references to both documents throughout all chapters.

A new Chapter 4 focuses on the use of standards in writing objectives and organizing lesson plan resources while an updated Chapter 5 details each step of the lesson planning process.

A fully revised Chapter 12 provides new information on teaching diverse populations and outlines specific details and suggestions for classroom management for mathematics teachers.

Classroom Dialogues" features draws on the author’s 35-year experience as an educator to present real-world teacher-student conversations about specific mathematical problems or ideas

"How Would You React?" features prepares future teachers for real-life scenarios by engaging them in common classroom situations and offering tried-and-true solutions.

With more than 60 practical, classroom-tested teaching ideas, sample lesson and activities, Teaching Secondary and Middle School Mathematics combines the best of theory and practice to provide clear descriptions of what it takes to be an effective teacher of mathematics.

Table of Contents

Contents

Preface

Acknowledgements

Meet the Author

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

Chapter 1 Mathematics as a Process

National and International Assessment Data    

How Would You React?

The Need for Reform   

"Doing" Mathematics   

Problem Solving    

Mathematical Reasoning 

Spotlight on Technology

Communication   

Connections and Structure

Representation 

Classroom Dialogues

Conclusion

Glossary

Discussion Questions and Activities

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

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 

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

Conclusion

Glossary  

Discussion Questions and Activities

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  

Spotlight on Technology

Goals and Objectives in the Mathematics Classroom

Classifying Objectives

Affective Objectives

Cognitive Objectives

Selection and Organization of Resources

Print Resources

 

 

Classroom Dialogues

The Internet

Organizing a Resource File

Conclusion

Glossary

Discussion Questions and Activities

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   

Classroom Dialogues

Lesson Imaging versus Lesson Planning 

Reflecting on a Lesson   

Conclusion

Glossary    

Discussion Questions and Activities

Unit 3 Mathematics TEACHING

Chapter 6 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

Reflective Practices   

Conclusion

Glossary 

Discussion Questions and Activities

Chapter 7 Teaching and Learning: Tools and Technology

How Would You React?

Classroom Tools

Hand-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

Chapter 8 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

Chapter 9 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

Unit 4 Assessment in MathematicS

Chapter 10 The Role of Assessment

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

Chapter 11 Assessment: Standards, Homework, and Grading

NCTM Recommendations on Assessment  

The Assessment Standards  

How Would You React?

The Assessment Principle 

<H1>Equity and Assessment    </H1>

Homework Assignments   

Homework Amount and Frequency   

Checking Homework Assignments    

Spotlight on Technology

Using Homework Assignments in Assessment   

Classroom Dialogues

Evaluation: Maintaining and Determining Final Grades

Conclusion

Glossary    

Discussion Questions and Activities

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

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

Bibliographic References and Resources

Index

About the Author

Daniel 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 also teaches junior high (Grades 7 and 8) mathematics at St. Rose School in Perrysburg, Ohio.

Subject Categories

BISAC Subject Codes/Headings:
EDU000000
EDUCATION / General

Instructor Resources

Instructor Resources

To gain access to the instructor resources for this title, please visit the Instructor Resources Download Hub.

You will be prompted to fill out a registration form which will be verified by one of our sales reps.