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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.
Get Teaching Secondary and Middle School Mathematics, MyLab School Edition, 2nd Edition by Daniel J. Brahier, Bowling Green State University
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