Teaching Secondary and Middle School Mathematics, 3/E by Daniel J. Brahier	List Price: $93.76
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 third edition presents concise, current, and meaningful descriptions of what it takes to be an effective teacher of mathematics. This extensively revised resource offers a balance of theory and practice, including a wealth of examples and descriptions of student work, classroom situations, and technology usage to assist any teacher in visualizing high-quality mathematics instruction in the middle and secondary classroom. Each chapter starts by articulating specific outcomes expected for the reader and ends with correlating discussion questions and activities, a glossary of relevant terms, and an extensive bibliography that contains references and suggested readings.   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. 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) aff 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 ord 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.
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