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

ISBN-10: 1412963761

ISBN-13: 9781412963763

Pub. Date: 06/27/2008

Publisher: SAGE Publications

Discussing standards, research, and more, these 30 probes help secondary teachers assess students' grasp of core mathematics concepts and modify their instruction to improve student achievement.

## Overview

Discussing standards, research, and more, these 30 probes help secondary teachers assess students' grasp of core mathematics concepts and modify their instruction to improve student achievement.

## Product Details

ISBN-13:
9781412963763
Publisher:
SAGE Publications
Publication date:
06/27/2008
Pages:
248
Product dimensions:
8.70(w) x 11.10(h) x 0.90(d)

## Related Subjects

Foreword by Johnny W. Lott
Preface
Acknowledgments
1. 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?
2. 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
3. Number and Operations Assessment Probes
Probe 1: What Is the Value of the Digit?
Teachers' Notes: What Is the Value of the Digit?
Probe 1a: What Is the Value of the Digit? Variation
Probe 2: What Is the Meaning of 2/3?
Teachers' Notes: What Is the Meaning of 2/3?
Probe 2a: What Is the Meaning of 2/3? Variation
Probe 3: Is It Equivalent?
Teachers' Notes: Is It Equivalent?
Probe 3a: Is It Equivalent? Variation
Probe 5: Is It an Estimate?
Teachers' Notes: Is It an Estimate?
Probe 6: Is It Simplified?
Teachers' Notes: Is It Simplified?
Probe 6a: Is It Simplified? Algebraic Variation
Probe 7: Where Is a Million?
Teachers' Notes: Where Is a Million?
Probe 8: How Low Can You Go?
Teachers’ Notes: How Low Can You Go?
Probe 8a: How Low Can You Go? Variation
Probe 10: What’s Your Subtraction Strategy?
Teachers’ Notes: What’s Your Subtraction Strategy?
Probe 10a: What’s Your Subtraction Strategy? Decimals Variation
Probe 10b: What’s Your Subtraction Strategy? Fractions Variation
Probe 11: What’s Your Multiplication Strategy?
Teachers’ Notes: What’s Your Multiplication Strategy?
Probe 11a: What’s Your Multiplication Strategy? Decimals Variation
Probe 12: What’s Your Division Strategy?
Teachers’ Notes: What’s Your Division Strategy?
Probe 12a: What’s Your Division Strategy? Decimals Variation
4. Geometry, Measurement, and Data Assessment Probes
Probe 1: What’s the Measure?
Teachers’ Notes: What’s the Measure?
Probe 1a: What’s the Measure? Variation
Probe 2: Are Area and Perimeter Related?
Teachers’ Notes: Are Area and Perimeter Related?
Probe 3: What’s the Area?
Teachers’ Notes: What’s the Area?
Probe 4: What’s the Capacity?
Teachers’ Notes: What’s the Capacity?
Probe 5: Is It Transformed?
Teachers’ Notes: Is It Transformed?
Probe 6: Are They Similar?
Teachers’ Notes: Are They Similar?
Probe 7: What Do You Mean?
Teachers’ Notes: What Do You Mean?
Probe 7a: What Do You Mean? Variation
Probe 8: Name of the Graph?
Teachers’ Notes: Name of the Graph?
Probe 9: Graph Construction?
Teachers’ Notes: Graph Construction?
5. Algebra and Data Assessment Probes
Probe 1: Equal or Not Equal?
Teachers’ Notes: Equal or Not Equal?
Probe 2: Is It the Same as a+b?
Teachers’ Notes: Is It the Same as a+b?
Probe 3: M & N’s?
Teachers’ Notes: M & N’s?
Probe 4: What’s the Substitute?
Teachers’ Notes: What’s the Substitute?
Probe 5: Is It True?
Teachers’ Notes: Is It True?
Probe 6: Solving Equations?
Teachers’ Notes: Solving Equations?
Probe 7: Correct Representation of the Inequality?
Teachers’ Notes: Correct Representation of the Inequality?
Probe 8: Is It a Variable?
Teachers’ Notes: Is It a Variable?
Probe 9: Binomial Expansion?
Teachers’ Notes: Binomial Expansion?
Resource A: Note Template for QUEST Cycle
References
Index

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