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Teaching Secondary and Middle School Mathematics

Daniel J. Brahier
Publisher: 
Routledge
Publication Date: 
2016
Number of Pages: 
470
Format: 
Paperback
Edition: 
5
Price: 
74.95
ISBN: 
9781138922785
Category: 
Textbook
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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