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Teaching Secondary and Middle School Mathematics, 2/E
Daniel J. BrahierBowling Green State University

ISBN-10: 0205412637
ISBN-13:  9780205412631

Publisher:  Allyn & Bacon
Copyright:  2005
Format:  Cloth; 416 pp
Published:  07/07/2004


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Description

Teaching Secondary and Middle School Mathematics</I> combines up-to-date technology and research with a vibrant writing style to help teachers grasp curriculum, teaching, and assessment issues as they relate to secondary and middle school mathematics.

Designed for pre-service or in-service teachers, the second edition presents concise, current, and meaningful descriptions of what it takes to be an effective teacher of mathematics. This extensively revised, practical resource offers a balance of theory and practice, including a wealth of examples and descriptions of classroom situations to assist students in visualizing mathematics instruction in the classroom.

Each chapter contains specific outcomes for the reader, a glossary of relevant terms, several discussion questions and an extensive bibliography that contains references and suggested readings. Appendices include a descriptive list of recommended Internet Web sites on mathematics education and two case studies for further discussion.


Features

  • Discussion of the use of technology in the teaching and learning of mathematics is woven throughout the text.
  • Contains practical, classroom-tested teaching ideas, sample lessons, and activity plans.
  • Provides an overview of current learning theories and a discussion of how research is conducted in mathematics education.
  • Discusses in detail assessment in mathematics education from both a theoretical and a practical standpoint (Section IV).
  • Case studies allow students to place themselves in the role of a classroom teacher and reflect on how they would handle a given situation.
  • “Recommended Resources” at the end of each of the 10 chapters and in Appendix E list hundreds of articles, books, videos, CD-ROMs, and websites—organized by topic—that will provide the reader with ideas of additional resources available on various topics.
  • Discussion Questions corresponding with major outcomes listed at the beginning of each chapter assist the instructor in developing lesson plans reflective of each chapter of the book.


New To This Edition

  • A new chapter examines the four content areas—algebra, geometry, data analysis and probability, and discrete mathematics incorporating specific teaching methodology and NCTM Standards (Ch. 7).
  • A new chapter devoted to the topic of equity discusses special needs students, gender equity, and ethnic/cultural differences, and general principles to follow when attempting to meet all student needs in the classroom (Ch. 10).
  • “How Would You React?” exercises have been added in each chapter and allow students (and professors) to explore various teaching and learning scenarios and solutions in a debate setting.
  • “Spotlight on Technology” and examples highlighting major chapter concepts involving the use of technology have been interspersed throughout and encourage students to think about technology as a whole, not just at one point.


Table of Contents

This tentative table of contents is for early review purposes; the final contents may not include all of the selections listed here. Most chapters include “Conclusion,”  “Glossary,”   “Discussion Questions and Activities,” and “Bibliographic References and Additional Resources.”

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

1. Mathematics as a Process.

National and International Assessment Data.

The Need for Reform.

“Doing” Mathematics.

2. Learning Theories and Psychology in Mathematics Education.

Research in Mathematics Education.

Learning Theories in Mathematics.

II. THE MATHEMATICS CURRICULUM.

3. Curricular Models.

NCTM Curriculum Standards.

State Models.

The Core Curriculum.

Traditional versus Integrated Sequence.

4. Implementing a Course of Study.

The Course of Study.

Writing Goals and Objectives.

Selection and Organization of Resources.

Sample Recommended Resource Books.

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

NSF-Funded Curricular Materials.

III. TEACHING MATHEMATICS.

5. Planning for Instruction.

Unit Planning.

Lesson Planning.

Lesson Imaging versus Lesson Planning.

Reflecting on a Lesson.

Activities–Selected Lesson Plan Ideas from The Mathematics Teacher.

6. Teaching Tools and Strategies.

Teaching Standards and Principle.

Selecting Activities and Problems.

Classroom Tools.

Classroom Discourse.

Learning Environment.

Reflective Practices.

7. Teaching Specific Mathematics Content.

The Teaching of Algebra.

The Teaching of Geometry.

The Teaching of Data Analysis and Probability.

The Teaching of Discrete Mathematics.

IV. ASSESSMENT IN MATHEMATICS.

8. The Role of Assessment.

What Is Assessment?

Purposes for Assessment.

Test Construction.

Alternate Strategies for Assessing Student Progress.

9. Principles of Assessment Practices.

NCTM Recommendations on Assessment.

Equity and Assessment.

Homework Assignments.

Evaluation: Determining Final Grades.

V. MEETING INDIVIDUAL STUDENT AND TEACHER NEEDS.

10. Meeting the Needs of All Students.

Defining and Achieving Equity.

General Suggestions for Meeting Diverse Student Needs.

11. The Teacher of Mathematics in the School Community.

Working with Parents.

The Supervision and Evaluation of Teachers.

Functioning in a Department.

Ongoing Professional Development.

Appendices.

    Recommended Web Sites.

Professional Organizations.

Curriculum Projects.

Activities and Lesson Plan Ideas.

General Mathematics Education Sites.

Index.


Next Edition(s)

  • Teaching Secondary and Middle School Mathematics, 3/E
    Brahier
    ©2009  |  Allyn & Bacon  |  Paper; 432 pp  |  Instock
    ISBN-10: 0205569196  |  ISBN-13: 9780205569199
    Brief Description  |  More Info



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Teaching Secondary and Middle School Mathematics combines up-to-date technology and research with a vibrant writing style to help teachers grasp curriculum, teaching, and assessment issues as they relate to secondary and middle school mathematics.

Designed for pre-service or in-service teachers, the second edition presents concise, current, and meaningful descriptions of what it takes to be an effective teacher of mathematics. This extensively revised, practical resource offers a balance of theory and practice, including a wealth of examples and descriptions of classroom situations to assist students in visualizing mathematics instruction in the classroom.

Each chapter contains specific outcomes for the reader, a glossary of relevant terms, several discussion questions and an extensive bibliography that contains references and suggested readings. Appendices include a descriptive list of recommended Internet Web sites on mathematics education and two case studies for further discussion.

New To This Edition!

  • A new chapter (Chapter 7) examines four major content areas of the secondary and middle school curriculum—algebra, geometry, data analysis and probability, and discrete mathematics—and the teaching methodology and NCTM Standards specific to each area.
  • A new chapter (Chapter 10) devoted to the topic of equity discusses special needs students, gender equity, and ethnic/cultural differences.
  • “How Would You React?” scenarios have been added in each chapter which allow students (and professors) to explore various teaching and learning issues and ideas for making decisions in a debate setting.
  • “Spotlight on Technology” and examples highlighting major chapter concepts involving the use of technology have been interspersed throughout and encourage students to think about the appropriate use of technology in teaching mathematics.

Daniel Brahier is Associate Professor of Mathematics Education at Bowling Green State University in Ohio and a current eighth grade teacher. He is also the author of Assessment in Middle and High School Mathematics: A Teacher's Guide (Eye On Education, 2001). With experience as a teacher, administrator, guidance counselor, and curriculum coordinator, his teaching and writing draws from every angle.

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Instructor's Manual, 2/E
Brahier
©2005  |  Allyn & Bacon  |  Electronic Supplement; 192 pp  |  Available
ISBN-10: 0205435173  |  ISBN-13: 9780205435173

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