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Teaching Secondary and Middle School Mathematics

✍ Scribed by Daniel J. Brahier


Publisher
Routledge
Year
2016
Tongue
English
Leaves
491
Edition
5
Category
Library

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✦ Synopsis


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


Teaching secondary and middle school mathematics- Front Cover
Teaching secondary and middle school mathematics
Title Page
Copyright Page
Dedication
Contents
Preface
Acknowledgments
About 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
The Need for Reform
“Doing” Mathematics
Conclusion
Glossary
CHAPTER 2: Principles of Mathematics Education
The Six Principles
Connecting the Principles
Conclusion
Glossary
CHAPTER 3: Learning Theories and Psychology in Mathematics Education
Research in Mathematics Education
Learning Theories in Mathematics
Conclusion
Glossary
UNIT 2: Mathematics Curriculum and Planning
CHAPTER 4: Standards, Objectives, and Resources
Developing Curriculum Standards—Historical Perspective
The Common Core State Standards for Mathematics
The Core Curriculum
Traditional versus Integrated Sequences
Goals and Objectives in the Mathematics Classroom
Selection and Organization of Resources
Conclusion
Glossary
CHAPTER 5: Planning for Instruction
Unit Planning
Lesson Planning
Lesson Imaging versus Lesson Planning
Reflecting on a Lesson
Conclusion
Glossary
UNIT 3: Mathematics Teaching
CHAPTER 6: Teaching and Learning: Tasks, Learning Environment, and Discourse
Teaching Standards and Related Principles
Selecting Activities and Problems
Learning Environment
Classroom Discourse
Reflective Practices
Conclusion
Glossary
CHAPTER 7: Teaching and Learning: Tools and Technology
Classroom Tools
Classroom Technology
Conclusion
Glossary
CHAPTER 8: Teaching Number Sense and Algebra
Reasoning and Sense Making
The Teaching of Number Sense
The Teaching of Algebra
Conclusion
Glossary
CHAPTER 9: Teaching Geometry, Statistics/Probability, and Discrete Mathematics
The Teaching of Geometry
The Teaching of Statistics and Probability
The Teaching of Discrete Mathematics
A Word on Pre-Calculus and Calculus
Conclusion
Glossary
UNIT 4: Assessment in Mathematics
CHAPTER 10: Assessment: Purposes and Strategies
What Is Assessment?
Purposes for Assessment
Test Construction
Alternate Strategies for Assessing Student Progress
Conclusion
Glossary
CHAPTER 11: Assessment: Standards, Homework, and Grading
NCTM Recommendations on Assessment
Equity and Assessment
Homework Assignments
Evaluation: Maintaining and Determining Final Grades
Conclusion
Glossary
UNIT 5: Meeting Individual Student and Teacher Needs
CHAPTER 12: Managing a Mathematics Classroom
Defining and Achieving Equity
Ideas for Meeting Diverse Student Needs
Classroom Management Tips
Conclusion
Glossary
CHAPTER 13: The Teacher of Mathematics in the School Community
Working with Parents
The Supervision and Evaluation of Teachers
Functioning in a Department
Ongoing Professional Development
Conclusion
Bibliographic References and Resources
Index


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