Fostering Children's Mathematical Power : An Investigative Approach to K-8 Mathematics Instruction

by Baroody, Arthur J.; Coslick, Ronald T.

• ISBN13: 9780805831054
• ISBN10: 0805831053
• Format: Paperback
• Copyright: 1998-09-01
• Publisher: Lawrence Erlbau

Summary

Exploring the investigative approach to mathematics as set forth by the NCTM, this volume encourages critical thinking about mathematics instruction. Ideal for mathematics educators, the book uses an interactive format to stimulate a deeper understanding

Table of Contents

PREFACE	vii to viii	(1)
Chapter 0 Prologue: Understanding This Teaching Guide and the Role of Affect in the Teaching-Learning Process	0-1 to 0-24	(23)
Main Text	0-02	(20)
Unit 0.1 Understanding This Teaching Guide	0-02	(7)
Unit 0.2 Getting into the Right Frame of Mind to Learn--The Critical Role of Affect in the Teaching-Learning Process	0-09	(13)
Parting Thoughts	0-22	(1)
Resources	0-22
Chapter 1 Fostering Mathematical Power: The Need for Purposeful, Inquiry-Based, and Meaningful Instruction	1-1 to 1-38	(37)
Main Text	1-02	(34)
Unit 1.1 Different Views of Mathematics Education	1-02	(12)
Unit 1.2 New Directions in Mathematics Education	1-14	(22)
Parting Thoughts	1-36	(1)
Resources	1-36
Chapter 2 Processes of Mathematical Inquiry: Problem Solving, Reasoning, and Communicating	2-1 to 2-40	(39)
Main Text	2-03	(36)
Unit 2.1 Mathematics as Problem Solving	2-03	(19)
Unit 2.2 Mathematics as Reasoning	2-22	(10)
Unit 2.3 Mathematics as Communicating	2-32	(4)
Parting Thoughts	2-36	(3)
Resources	2-39
Chapter 3 Fostering and Evaluating Meaningful Learning: Making Connections and Assessing Understanding	3-1 to 3-40	(39)
Main Text	3-02	(35)
Unit 3.1 Meaningful Instruction and Learning	3-02	(14)
Unit 3.2 Assessing Understanding	3-16	(15)
Unit 3.3 Integrating Instruction and Assessment	3-31	(6)
Parting Thoughts	3-37	(1)
Resources	3-37
Chapter 4 Basic Mathematical Tools: Numbers and Numerals	4-1 to 4-26	(25)
Main Text	4-02	(20)
Unit 4.1 Number Concepts and Counting Skills	4-02	(14)
Unit 4.2 Numeral Literacy	4-16	(6)
Parting Thoughts	4-22	(1)
Resources	4-22
Chapter 5 Introducing Arithmetic: Understanding the Whole-Number Operations and Mastering the Basic Number Combinations	5-1 to 5-36	(35)
Main Text	5-02	(31)
Unit 5.1 Addition and Subtraction	5-02	(12)
Unit 5.2 Multiplication and Division	5-14	(10)
Unit 5.3 Mastering the Basic Number Combinations	5-24	(9)
Parting Thoughts	5-33	(1)
Resources	5-33
Chapter 6 Understanding Base-Ten, Place-Value Skills: Reading, Writing, and Arithmetic with Multidigit Numbers	6-1 to 6-32	(31)
Main Text	6-02	(27)
Unit 6.1 Reading and Writing Multidigit Numbers	6-02	(12)
Unit 6.2 Written Multidigit Arithmetic	6-14	(14)
Parting Thoughts	6-28	(1)
Resources	6-29
Chapter 7 Thinking with Whole Numbers: Number Sense, Estimation, and Mental Computation	7-1 to 7-34	(33)
Main Text	7-04	(25)
Unit 7.1 Number Sense	7-04	(10)
Unit 7.2 Estimation	7-14	(9)
Unit 7.3 Mental Calculation	7-23	(4)
Parting Thoughts	7-27	(2)
Resources	7-29
Chapter 8 Exploring Numbers Further: Number Theory and Integers & Operations on Integers	8-1 to 8-34	(33)
Main Text	8-04	(26)
Unit 8.1 Number Theory	8-04	(17)
Unit 8.2 Integers and Operations on Integers	8-21	(9)
Parting Thoughts	8-30	(1)
Resources	8-30
Chapter 9 Working with "Parts of a Whole" and Other Meanings of Rational Numbers and Common Fractions	9-1 to 9-28	(27)
Main Text	9-02	(24)
Unit 9.1 Rational Numbers	9-02	(11)
Unit 9.2 Common Fractions	9-13	(13)
Parting Thoughts	9-26	(1)
Resources	9-26
Chapter 10 Understanding Operations on Common Fractions	10-1 to 10	(23)
Main Text	10-02	(21)
Unit 10.1 Mathematics and Learning	10-02	(2)
Unit 10.2 Teaching	10-04	(19)
Parting Thoughts	10-23	(1)
Resources	10-23
Chapter 11 Place-Value Representations of Fractional Parts: Decimal Fractions, Decimals, and Operations on Decimals	11-1 to 11-32	(31)
Main Text	11-02	(27)
Unit 11.1 Decimal Fractions and Decimals	11-02	(6)
Unit 11.2 Operations on Decimals	11-08	(21)
Parting Thoughts	11-29	(1)
Resources	11-29
Chapter 12 Comparing Quantities Fairly: Ratios, Proportions, and Percent	12-1 to 12-28	(27)
Main Text	12-02	(24)
Unit 12.1 Ratios	12-02	(8)
Unit 12.2 Proportions	12-10	(11)
Unit 12.3 Percent	12-21	(5)
Parting Thoughts	12-26	(1)
Resources	12-26
Chapter 13 Making Sense of Information and Using It to Make Everyday Decisions: Statistics and Probability	13-1 to 13-32	(31)
Main Text	13-03	(21)
Unit 13.1 Statistics	13-03	(12)
Unit 13.2 Probability	13-15	(9)
Parting Thoughts	13-24	(1)
Resources	13-24
Chapter 14 The Mathematics of Our Environment: Geometry and Spatial Sense	14-1 to 14-28	(27)
Main Text	14-04	(21)
Unit 14.1 Geometry and Children's Geometric Thinking	14-04	(3)
Unit 14.2 Teaching	14-07	(12)
Parting Thoughts	14-19	(6)
Resources	14-25
Chapter 15 Sizing Up Things: Measurement and Measurement Formulas	15-1 to 15-30	(29)
Main Text	15-05	(22)
Unit 15.1 Fostering an Understanding of Measurement	15-05	(13)
Unit 15.2 Devising Measurement Formulas	15-18	(8)
Parting Thoughts	15-26	(1)
Resources	15-27
Chapter 16 The Transition from Arithmetic to Algebra: Prealgebra and Functions	16-1 to 16-32	(31)
Main Text	16-02	(22)
Unit 16.1 Prealgebra and Algebra	16-02	(17)
Unit 16.2 Functions	16-19	(5)
Parting Thoughts	16-24	(1)
Resources	16-24
Chapter 17 Reflections on Teaching: Organizing Instruction to Enhance Mathematical Power, Professional Development, and Epilogue	17-1 to 17-28	(27)
Main Text	17-02	(23)
Unit 17.1 Organizing Instructional to Enhance Mathematical Power	17-02	(20)
Unit 17.2 Professional Development	17-22	(2)
Epilogue	17-24	(1)
Resources	17-25
END MATTER
Appendix A: Footnotes	A-1 to A-2	(1)
Appendix B: Bibliography	B-1 to B-14	(13)
Appendix C: Publishers and Distributors of Educational Materials	C-1 and C-2	(2)
Appendix D: Subject Index	D-1 to D-16	(15)
Appendix E: Index of Reader Inquiries	E-1 to E-4	(3)
Appendix F: Index of Children's Literature (By Title and By Topic)	F-1 to F-4	(3)
Appendix G: Technology Index (Websites; Software, Videos & Laserdisks; Calculator Applications by Topic; Computer Applications by Topic)	G1 to G-4	(1)
Appendix H: Questions for Promoting Mathematical Power	inside back cover