Uncovering Student Thinking in Mathematics, Grades 6-12 : 30 Formative Assessment Probes for the Secondary Classroom

by Cheryl M. Rose

• ISBN13: 9781412963763
• ISBN10: 1412963761
• Format: Hardcover
• Copyright: 2008-07-03
• Publisher: Corwin Pr

Summary

Use these targeted probes to assess students' grasp of key mathematical concepts! This resource provides secondary teachers with assessment tools to gauge learners' knowledge of core mathematical ideas. The authors provide 30 probesà brief, easily administered assessmentsà that can determine students' thinking by revealing common understandings and misunderstandings and providing further elaboration of student thinking. This invaluable book: Combines standards, educational research findings, and practical craft knowledge Helps teachers modify math instruction to build on individual students' existing understandings while addressing their identified difficulties Offers examples that illustrate the faulty thinking students are likely to exhibit and typical obstacles they may encounter

Table of Contents

Foreword

Preface

Acknowledgments

About the Authors

Mathematics Assessment Probes

Introduction

What Types of Understandings and Misunderstandings Does a Mathematics Assessment Probe Uncover?

How Were the Mathematics Assessment Probes Developed?

What Is the Structure of a Mathematics Assessment Probe?

What Additional Information Is Provided With Each Mathematics Assessment Probe?

What Mathematics Assessment Probes Are Included in the Book?

Instructional Implications

Differentiating Instruction

Assessing Points of Entry

Analyzing Trends in Student Thinking

Giving Student Interviews

Promoting Student-to-Student Dialogue

Developing Vocabulary

Allowing for Individual Think Time

Improving Students' Process Skills

Assessing Effectiveness of Instructional Activities

Moving Beyond the Individual Classroom

Summary

Number and Operations Assessment Probes

What Is the Value of the Digit?

Teachers' Notes: What Is the Value of the Digit?

What Is the Value of the Digit? Variation

What Is the Meaning of 2/3?

Teachers' Notes: What Is the Meaning of 2/3?

What Is the Meaning of 2/3? Variation

Is It Equivalent?

Teachers' Notes: Is It Equivalent?

Is It Equivalent? Variation

What's Your Estimate?

Teachers' Notes: What's Your Estimate?

Is It an Estimate?

Teachers' Notes: Is It an Estimate?

Is It Simplified?

Teachers' Notes: Is It Simplified?

Is It Simplified? Algebraic Variation

Where Is a Million?

Teachers' Notes: Where Is a Million?

How Low Can You Go?

Teachers' Notes: How Low Can You Go?

How Low Can You Go? Variation

What's Your Addition Strategy?

Teachers' Notes: What's Your Addition Strategy?

What's Your Addition Strategy? Decimals Variation

What's Your Addition Strategy? Fractions Variation

What's Your Subtraction Strategy?

Teachers' Notes: What's Your Subtraction Strategy?

What's Your Subtraction Strategy? Decimals Variation

What's Your Subtraction Strategy? Fractions Variation

What's Your Multiplication Strategy?

Teachers' Notes: What's Your Multiplication Strategy?

What's Your Multiplication Strategy? Decimals Variation

What's Your Division Strategy?

Teachers' Notes: What's Your Division Strategy?

What's Your Division Strategy? Decimals Variation

Geometry, Measurement, and Data Assessment Probes

What's the Measure?

Teachers' Notes: What's the Measure?

What's the Measure? Variation

Are Area and Perimeter Related?

Teachers' Notes: Are Area and Perimeter Related?

What's the Area?

Teachers' Notes: What's the Area?

What's the Capacity?

Teachers' Notes: What's the Capacity?

Is It Transformed?

Teachers' Notes: Is It Transformed?

Are They Similar?

Teachers' Notes: Are They Similar?

What Do You Mean?

Teachers' Notes: What Do You Mean?

What Do You Mean? Variation

Name of the Graph?

Teachers' Notes: Name of the Graph?

Graph Construction?

Teachers' Notes: Graph Construction?

Algebra and Data Assessment Probes

Equal or Not Equal?

Teachers' Notes: Equal or Not Equal?

Is It the Same as a+b?

Teachers' Notes: Is It the Same as a+b?

M & N's?

Teachers' Notes: M & N's?

What's the Substitute?

Teachers' Notes: What's the Substitute?

Is It True?

Teachers' Notes: Is It True?

Solving Equations?

Teachers' Notes: Solving Equations?

Correct Representation of the Inequality?

Teachers' Notes: Correct Representation of the Inequality?

Is It a Variable?

Teachers' Notes: Is It a Variable?

Binomial Expansion?

Teachers' Notes: Binomial Expansion?

Is It Quadratic?

Teachers' Notes: Is It Quadratic?

Note Template for QUEST Cycle

References

Index

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