What knowledge of mathematics do secondary school math teachers need to facilitate understanding, competency, and interest in mathematics for all of their students? This unique text and resource bridges the gap between the mathematics learned in college and the mathematics taught in secondary school
The Mathematics that Every Secondary School Math Teacher Needs to Know
✍ Scribed by Alan Sultan, Alice F. Artzt
- Publisher
- Routledge
- Year
- 2010
- Tongue
- English
- Leaves
- 761
- Series
- Studies in Mathematical Thinking and Learning
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
✦ Synopsis
What knowledge of mathematics do secondary school math teachers need to facilitate understanding, competency, and interest in mathematics for all of their students? This unique text and resource bridges the gap between the mathematics learned in college and the mathematics taught in secondary schools. Written in an informal, clear, and interactive learner-centered style, it is designed to help pre-service and in-service teachers gain the deep mathematical insight they need to engage their students in learning mathematics in a multifaceted way that is interesting, developmental, connected, deep, understandable, and often, surprising and entertaining. Features include Launch questions at the beginning of each section, Student Learning Opportunities, Questions from the Classroom, and highlighted themes throughout to aid readers in becoming teachers who have great "MATH-N-SIGHT": M Multiple Approaches/Representations A Applications to Real Life T Technology H History N Nature of Mathematics: Reasoning and Proof S Solving Problems I Interlinking Concepts: Connections G Grade Levels H Honing of Mathematical Skills T Typical Errors This text is aligned with the recently released Common Core State Standards, and is ideally suited for a capstone mathematics course in a secondary mathematics certification program. It is also appropriate for any methods or mathematics course for pre- or in-service secondary mathematics teachers, and is a valuable resource for classroom teachers.
✦ Table of Contents
BOOK COVER......Page 1
TITLE......Page 6
COPYRIGHT......Page 7
BRIEF CONTENTS......Page 8
CONTENTS......Page 10
PREFACE/INTRODUCTION......Page 18
NOTES TO THE READER/PROFESSOR......Page 22
ACKNOWLEDGEMENTS......Page 28
CHAPTER 1 INTUITION AND PROOF......Page 30
CHAPTER 2 BASICS OF NUMBER THEORY......Page 46
CHAPTER 3 THEORY OF EQUATIONS......Page 98
CHAPTER 4 MEASUREMENT: AREA AND VOLUME......Page 142
CHAPTER 5 THE TRIANGLE: ITS STUDY AND CONSEQUENCES......Page 188
CHAPTER 6 BUILDING THE REAL NUMBER SYSTEM......Page 244
CHAPTER 7 BUILDING THE COMPLEX NUMBERS......Page 336
CHAPTER 8 INDUCTION, RECURSION, AND FRACTAL DIMENSION......Page 386
CHAPTER 9 FUNCTIONS AND MODELING......Page 426
CHAPTER 10 GEOMETRIC TRANSFORMATIONS......Page 480
CHAPTER 11 TRIGONOMETRY......Page 542
CHAPTER 12 DATA ANALYSIS AND PROBABILITY......Page 628
CHAPTER 13 INTRODUCTION TO NON-EUCLIDEAN GEOMETRY......Page 706
CHAPTER 14 THREE PROBLEMS OF ANTIQUITY......Page 734
BIBLIOGRAPHY......Page 750
APPENDIX......Page 752
INDEX......Page 758
✦ Subjects
Педагогика;Методики преподавания;Методика преподавания математики;
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