Description

Features

• How Would You React? case studies in each chapter allow readers to place themselves in the role of a secondary mathematics teacher and reflect on how they would handle a given situation.
• More than 50 practical, classroom-tested teaching ideas, including sample lessons and activities that reference NCTM standards, provide future mathematics teachers will a basis for planning instruction. (Ch 8)
• Discussion of the use of technology in the teaching and learning of mathematics appears throughout the text, especially prominent in the Spotlight On Technology feature box in each chapter.
• Detailed discussion of assessment in mathematics education, from both a theoretical and a practical standpoint, effectively prepares pre-service teachers to assess students’ math understanding and learning.
• Recommended resources at the end of each chapter and in an appendix list hundreds of articles, books, videos, CD-ROMs, and Web sites–organized by topic–provide future math teachers with a multitude of additional sources for enhancing and shaping their instruction.
• Discussion Questions corresponding with major outcomes listed at the beginning of each chapter aid the college instructor assigning this book when developing lessons reflective of each chapter.

New To This Edition

• Classroom Dialogues feature boxes in every chapter include examples of student work or quotes from a class that allow the reader to reflect on common mathematical misconceptions and how to address them in the classroom.
• A new chapter (Ch 2) provides an overview of the six NCTM Principles for mathematics education, including equity, curriculum, teaching, learning, assessment, and technology.
• Two chapters (Ch  7 and Ch 12 ) rewritten completely in light of the newly released (2007) second edition of the NCTM teaching standards (entitled Teaching Mathematics Today) afford future teachers insights into the most current national guidelines for middle and secondary math instruction.
• Every chapter contains additions that deal with the most recent research and trends in mathematics education, such as current technologies, recent TIMSS data, and curriculum recommendations made by NCTM, the College Board, and Achieve.
• New section (Ch 8) on teaching Pre-Calculus and Calculus provides a general overview for future high school teachers who may be called up to teach these classes.
• Increased coverage of differentiated instruction (especially in Ch 7 and 11) enables math teachers to design instruction to meet the needs of all students.

Table of Contents

I. WHAT DOES IT MEAN TO “DO,” “TEACH,” AND “LEARN” MATHEMATICS?

1. Mathematics as a Process

National and International Assessment Data

How would You React?

The Need for Reform

“Doing” Mathematics

- Problem Solving

- Reasoning and Proof

- Spotlight on Technology

- Communication

- Connections

- Classroom Dialogues

- Representation

Conclusion

Glossary

Discussion Questions and Activities

Bibliographical References and Resources

2. Principles of Mathematics Education

The Six Principles

-          Equity

How Would You React?

- Curriculum

- Teaching

Spotlight on Technology

- Learning

- Assessment

- Technology

Classroom Dialogues

Connecting the Principles

Conclusion

Glossary

Discussion Questions and Activities

Bibliographical References and Resources

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

- Bruners’ 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

Bibliographic References and Resources

II. THE MATHEMATICS CURRICULUM

4. Curricular Models

NCTM Curriculum Standards

NCTM Focal Points and Related Documents

How Would You React?

State Models

The Core Curriculum

Spotlight on Technology

Traditional versus Integrated Sequence

Classroom Dialogues

Conclusion

Glossary

Discussion Questions and Activities

Bibliographic References and Resources

5. Implementing a Course of Study

The Course of Study

How Would You React?

Writing Goals and Objectives

- Classifying Objectives

- Affective Objectives

- Cognitive Objectives

Spotlight on Technology

Selection and Organization of Resources

- Textbooks

- Print Resources

- Classroom Dialogues

- The Internet

- Organizing a Resource File

Conclusion

Glossary

Discussion Questions and Ctivities

Bibliographical References and Resources

Sample Recommended Resource Books

COMAP “Hi-Map” (High School Mathematics) Teaching Modules.

NCTM Navigation Series

NSF-Funded Curricular Materials

III. TEACHING MATHEMATICS

6. Planning for Instruction

Unit Planning

How Would You React?

Lesson Planning

- General Considerations

- Goals 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

Bibliographical References and Resources

Activities—Selected Lesson Plan Ideas from The Mathematics Teacher

7. Teaching Tools and Strategies

Teaching Standards and Principle

- The NCM Standards for Teaching and Learning Mathematics Knowledge

- The Teaching and Learning Principles

Selecting Activities and Problems

- How Would You React?

Classroom Tools

- Hands-On Manipulative Materials

- Use of Technology

- Spotlight on Technology

- Diagrams, Graphs, and Other Discussion Starters

Learning Environment

Classroom Discourse

- The Role of Discourse

- Questioning Skills

- Classroom Dialogues

- Cooperative Learning Skills

Reflective Practices

Conclusion

Glossary

Discussion Questions and Activities

Bibliographical References and Resources

8. Teaching Specific Mathematics Content

The Teaching of Algebra

- Algebra- Sample Lesson Plan

- Algebra- Activities Sampler

- How Would You React?

The Teaching of Geometry

- Geometry- Sample Lesson Plan

- Geometry- Activities Sampler

- Spotlight on Technology

The Teaching of Data Analysis and Probability

- Data Analysis and Probability- Sample Lesson Plan

- Data Analysis and Probability- Activities Sampler

The Teaching of Discrete Mathematics

- Discrete Mathematics- Sample Lesson Plan

- Classroom Dialogues

- Discrete Mathematics- Activities Sampler

A Word on Pre-Calculus and Calculus

Conclusion

Glossary

Discussion Questions and Activities

Bibliographical References and Resources

IV. ASSESSMENT IN MATHEMATICS

9. The Role of Assessment

What Is Assessment?

Purposes for Assessment

Test Construction

- Preparing Items

- Ensuring Validity and Reliability

- How Would You React?

- Scoring Student Work

- 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

Bibliographical References and Resources

10. Principles of Assessment Practices

NCTM Recommendations on Assessment

- The Assessment Standards

- How Would You React?

- The Assessment Principle

Equity and Assessment

Homework Assignments

- Homework Amount and Frequency

- Spotlight on Technology

- Checking Homework Assignments

- Using Homework Assignments in Assessment

- Classroom Dialogues

Evaluation: Determining and Maintaining Final Grades

Conclusion

Glossary

Discussion Questions and Activities

Bibliographical References and Resources

V. MEETING INDIVIDUAL STUDENT AND TEACHER NEEDS

11. Meeting the Needs of All Students

Defining and Achieving Equity

- Students with Special Needs

- How Would You React?

- Gender

- Spotlight on Technology

- Ethnic and Cultural Issues

Classroom Dialogues

Ideas for Meeting Diverse Student Needs

- Differentiated Instruction

- General Suggestions for the Classroom

Conclusion

Glossary

Discussion Questions and Activities

Bibliographical References and Resources

12. The Teacher of Mathematics in the School Community

Working with Parents

How Would You React?

The Supervision and Evaluation of Teachers

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

Glossary

Discussion Questions and Activities

Bibliographical References and Resources

Appendix: Recommended Web Sites

Professional Organizations

Curriculum Projects

Activities and Lesson Plan Idea

General Mathematics Education Sites

Index

Courses

Mathematics Methods (Secondary)  [CORE TEXTS]   (Curriculum & Instruction)

Backcover Copy

Praise from Reviewers

“Of all the textbooks I review on teaching both middle and secondary math methods, [Dan Brahier’s] is the best. I like his examples, the way he follows NCTM standards, and how he [keeps] up to date with trends in mathematics education.”  —Ann M. Rule, St. Louis University

In this extensively revised third edition of Teaching Secondary and Middle School Mathematics, scholar and classroom teacher Daniel Brahier presents concise, current, and meaningful descriptions of what it takes to be an effective teacher of mathematics. With up-to-date research, classroom-tested teaching ideas, and a vibrant writing style, this book provides essential information on curriculum, teaching, and assessment issues related to middle/secondary mathematics. Every chapter includes a contextualizing introduction, scenarios and dialogues for student reflection, recommended resources for further study, and closing activities and discussion questions to cement chapter concepts.

New to This Edition:

• New “Classroom Dialogues” features in every chapter prompt reflection on examples of student work and classroom discussion.
• Increased coverage of differentiated instruction guides math teachers to design instruction that meets the needs of all students.
• The six NCTM principles for mathematics education–equity, curriculum, teaching, learning, assessment, and technology–receive full attention in a brand- new chapter (Ch. 2).
• The most recent research and trends in mathematics education–including new technologies, recent TIMSS data, and curriculum recommendations made by NCTM, the College Board, and Achieve–appear throughout the text.
• Completely revamped Chapters 7 and 12 reflect the newly released NCTM teaching standards.
• A new section in Chapter 8 on teaching pre-calculus and calculus provides an overview for future secondary teachers who may teach these classes.

MyEducationLab Multimedia Resources

MyEducationLab is a research-based learning tool that brings mathematics teaching to life. Through authentic in-class video footage, interactive simulations, rich case studies, and more, MyEducationLab prepares you for your teaching career by showing you what quality mathematics instruction looks like, providing examples of authentic teacher and student work, and much more.  For more information go to www.myeducationlab.com.

Downloadable Instructor Resources

Show All Downloadable Files

Hide All Downloadable Files

|

Help Downloading Files

Instructor's Manual and Test Bank for Teaching Secondary and Middle School Mathematics, 3/E
Brahier
©2009  |  Allyn & Bacon  |  On-line Supplement; 192 pp  |  Live
ISBN-10: 0205569323  |  ISBN-13: 9780205569328

Show Downloadable Files

Hide Downloadable Files

|

More Info

Back to top

Back to top

Give your students a choice! PearsonChoices products are designed to give your students more value and flexibility by letting them choose from a variety of text and media formats to best match their learning style and their budget.

Pearson Higher Education offers special pricing when you choose to package your text with other student resources. If you're interested in creating a cost-saving package for your students, see the Packages Tab.

• Pearson Custom Education
  Pearson
  ©2009  |  Allyn & Bacon  |  Electronic Supplement  |  Available
  ISBN-10: 0137157711  |  ISBN-13: 9780137157716
  This online resource is available at no cost at http://www.pearsoncustom.com/custom-library/pearson-custom-education.
  Brief Description  | 

  

   With Pearson Custom Education, you can create the perfect textbook to reflect the way you teach your course!

  Choose from the full depth and breadth of Pearson Education titles published for the following courses:

  • Counseling
  • Curriculum and Instruction
  • Early Childhood Education
  • Educational Administration and Leadership
  • Educational Psychology
  • Introduction and Foundations
  • Literacy
  • Special Education

  Select as many or as few chapters as you need to suit your course, and we’ll custom publish your unique text. You’re in full control of the content, sequence, and price.

  • Convenient – Search, review and select the chapters you want using the online bookbuilding site or fax in an order form.
  • Flexible – Choose the chapters you want from more than 140 titles, arrange them in the order you teach.
  • Add Your Own Material – Up to 20% of your text can come from other sources, whether it’s your writing or third party materials. We take care of permissions.
  • Quality – Your custom text is digitally printed from electronic files, not photocopied.
  • Options – Choose color as it appears in the original text or choose black and white.
  • Free Evaluation Copy – Request a free evaluation copy to see your book before you decide. BW evaluation copies arrive in 7-10 business days; 4C evaluation copies arrive in 2-3 weeks.
  • Cost Savings – Students pay only for what is used in your course. Combine your text with other Pearson Education texts for a student discount.
  • Quick Turnaround – Your black and white text in 4-6 weeks from the time we receive the bookstore order; your four color text will be delivered in 6-8 weeks from the time we receive the bookstore order.

  Please CLICK HERE to customize your own Pearson Custom Education textbook!

   

  More Info
  

• Teaching Secondary and Middle School Mathematics, CourseSmart eTextbook, 3/E
  Brahier
  ©2009  |  Allyn & Bacon  |  Electronic Book; 432 pp  |  Available
  ISBN-10: 0132074346  |  ISBN-13: 9780132074346
  Online purchase price: $56.99Brief Description  | 

  

  CourseSmart eTextbooks are a creative digital solution that offers the freedom and convenience of online, offline, and mobile access using a single platform. With a CourseSmart eTextbook, students can:

  • search the text

  • make notes online

  • print out reading assignments that incorporate lecture notes

  • bookmark important passages for later review

  • save money. As an alternative to purchasing the print textbook, students can subscribe to the same content online for a significant discount off the suggested list price of the print text.

  For more information, or to subscribe to the CourseSmart eTextbook, visit www.coursesmart.com (for customers in U.S. and Canada) or www.coursesmart.co.uk (for customers in Europe, Middle East, and Africa).

  More Info  |  Students, buy access
  

This product is a member of the following series. Click on the series name to see the full list of products in the series.

• Pearson Custom Education

Pearson Higher Education offers special pricing when you choose to package your text with other student resources. If you're interested in creating a cost-saving package for your students, browse our available packages below, or contact your Pearson Higher Education representative to create your own package.

Package ISBN-10: 0131371851 | ISBN-13: 9780131371859
©2009 | Out of Stock
Suggested retail price: $162.80  Buy from myPearsonStore
Net price: $122.10  (What's this?)
This package contains:

Package ISBN-10: 0132607859 | ISBN-13: 9780132607858
©2011 | Instock (Additional assembly time required)
Suggested retail price: $148.80  Buy from myPearsonStore
Net price: $111.60  (What's this?)
This package contains:

Package ISBN-10: 0132569620 | ISBN-13: 9780132569620
©2009 | Instock (Additional assembly time required)
Suggested retail price: $149.47  Buy from myPearsonStore
Net price: $112.10  (What's this?)
This package contains:

Package ISBN-10: 013607006X | ISBN-13: 9780136070061
©2009 | Instock (Additional assembly time required)
Suggested retail price: $156.33  Buy from myPearsonStore
Net price: $117.25  (What's this?)
This package contains:

Package ISBN-10: 0132861321 | ISBN-13: 9780132861328
©2011 | Instock (Additional assembly time required)
Suggested retail price: $245.93  Buy from myPearsonStore
Net price: $184.45  (What's this?)
This package contains: