Brain-Compatible Mathematics

Brain-Compatible Mathematics

by Diane Ronis
Brain-Compatible Mathematics

Brain-Compatible Mathematics

by Diane Ronis

eBook

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Overview

Students’ brains are wired to make them natural, curious learners. The mathematical world around them offers a vast classroom, filled with shapes, spaces, quantities, and experiences to discover and explore, all leading to the construction of understanding. Teachers can use this natural curiosity to tap the inborn neural mechanisms that motivate students to learn—to make relevance and meaning of their surroundings. Brain-Compatible Mathematics, Second Edition bridges the findings from the realms of brain research and improved mathematics instruction through updated teaching samples, connections to the most recent standards, newest research findings, and integration to other content areas.

Each brain is different, and when teachers teach problem-solving skills to help students arrive at their own solution paths, students go beyond mere memorization of facts and algorithms to being an actual participant in the development of mathematical understanding. In an informative and relevant approach, Diane Ronis presents teachers and math leaders with an emphasis on thinking, mathematical representation, and construction of ideas and an abundance of:

Sample lessons, units, and strategies linked to 2000 NCTM standards
Brain-friendly strategies for math teaching that meet NCLB requirements
How-to guides for creating more brain-tuned math teaching
Ideas for incorporating technology into the math curriculum
Planning templates for immediate use

By integrating math learning into real-world applications, students can actively practice what they learn, make meaning out of their everyday experiences, and think mathematically for success within today’s information age.

Product Details

ISBN-13: 9781632209641
Publisher: Skyhorse
Publication date: 07/14/2015
Sold by: SIMON & SCHUSTER
Format: eBook
Pages: 200
File size: 14 MB
Note: This product may take a few minutes to download.

Table of Contents

Foreword Bena Kallick ix

Preface xi

Publisher's Acknowledgments xiii

Introduction xv

About the Author xxi

1 Performance-Based Learning and Assessment 1

Traditional Versus Brain-Friendly Assessments 3

Importance of Performance Assessment 4

Alignment of Curriculum and Assessment 5

Assessment as Continuous Monitoring 7

Assessment as a Tool for Learning 8

Grades K-2 Units 8

Sweet Finance 9

Shapes, Patterns, and Tessellations 13

2 The Six Pillars of Performance Task Development 17

1 Set Up Clear Performance Goals 19

Principles 19

Tasks 19

2 Employ 'Authentic" Project Tasks 20

Principles 20

Task 22

3 Teach, and Emphasize Criteria Levels and Performance Standards 22

Principles 22

Task 23

4 Provide Models and Demonstrations of Excellence 24

Principles 24

Tasks 24

5 Teach Strategies Explicitly 24

Principles 24

Task 25

6 Use Ongoing Assessments for Feedback and Adjustments 25

Brain-Compatible Framework 26

Grades 3-5 Units 26

Candy-Counter Mathematics 26

Stanley's Travels 28

3 Multiple Intelligences and Brain-Compatible Learning 37

Theory of Multiple Intelligences 38

Multiple Intelligences Model 39

Assessment for Multiple Intelligences 43

Grades 6-8 Units 48

Batting Averages 48

How Do Your Genes Fit? 53

Money, Graphs, and All That Jazz! 61

4 Performance-Based Instructional Strategies 85

Cooperative Learning 87

Writing and Communicating in the Classroom 95

Classroom Practice 97

Challenge Project Unit 99

Entrepreneur 99

5 Problem-Solving Strategies 105

Instructional Strategies 106

Strategy 1 Summarizing and Note Taking 106

Strategy 2 Reinforcing Effort and Providing Recognition 107

Strategy 3 Identifying Similarities and Differences 107

Strategy 4 Nonlinguistic Representation 107

Strategy 5 Cues, Questions, and Advance Organizers 107

Strategy 6 Homework and Practice 108

Strategy 7 Setting Goals and Providing Feedback 108

Strategy 8 Generating and Testing Hypotheses 108

Strategy 9 Cooperative Learning 108

Problem Exploration 109

Heuristics 109

Study Skills, Thinking Skills, and Thinking Processes 112

Mnemonic Techniques 113

Organizational Strategies 114

Patterning 115

Challenge Project Unit 117

Home Improvement 117

6 Teaching and Assessing With the Rubric 125

Scoring Rubrics 126

Categories for Rubrics 127

Types of Rubrics 129

Brain-Compatible Assessment 132

Challenge Project Unit 136

Coaster Math 136

7 Teaching and Assessing With the Portfolio 143

Student Evaluation 144

Portfolio Assessment 145

A Portfolio System 146

Conclusion 156

Principles and Standards for School Mathematics: National Council of Teachers of Mathematics 157

Glossary 161

Resources 165

Bibliography 167

Index 171

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