Uncovering Student Thinking in Mathematics

25 Formative Assessment Probes
Cheryl Rose Tobey - Tobey Education Group, LLC
Leslie G. Minton - Math Matters
Carolyn B. Arline - Maine Mathematics and Science Alliance
Uncovering Student Thinking in Mathematics
December 2006 | 200 pages | Corwin
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ISBN: 9781483334103
Available from January 0001
Paperback
ISBN: 9781412940375
Available from January 0001

Description

"Uncovering Student Thinking in Mathematics shows us ways to listen and observe children and their mathematical understandings so we can find better ways to help them take their next learning steps. This book is a gift to educators who 'seek to understand before being understood.'"
—From the Foreword by Anne Davies

"A fresh and unique resource for mathematics teachers who recognize the importance of carefully establishing the starting points of instruction in terms of what students already know. The collection of assessment probes is inventive, engaging for students, and invaluable for teachers."
—Richard H. Audet, Associate Professor, Roger Williams University

Use formative assessment probes to take the guesswork out of mathematics instruction and improve learning!

Students learn at varying rates, and if a misconception in mathematics develops early, it may be carried from year to year and obstruct a student's progress. To identify fallacies in students' preconceived ideas, Uncovering Student Thinking in Mathematics offers educators a powerful diagnostic technique in the form of field-tested assessment probes—brief, easily administered activities to determine students' thinking on core mathematical concepts.

Designed to question students' conceptual knowledge and reveal common understandings and misunderstandings, the probes generate targeted information for modifying mathematics instruction, allowing teachers to build on students' existing knowledge and individually address their identified difficulties.

Linked to National Council of Teachers of Mathematics standards, this invaluable handbook assists educators with:

  • 25 ready-to-use mathematical probes
  • Teacher guides for implementing each probe at any grade level
  • Examples of typical obstacles and faulty thinking demonstrated by students

This rich resource combines standards, educational research findings, and practical craft knowledge to help teachers deliver informed instruction that strengthens all students' learning and achievement in mathematics.

Contents

Foreword by Anne Davies

Foreword by Anne Davies

Preface

Preface

Acknowledgments

Acknowledgments

About the Authors

About the Authors

1. Mathematics Assessment Probes

1. Mathematics Assessment Probes

2. Instructional Implications

2. Instructional Implications

3. Number and Operation Assessment Probes

3. Number and Operation Assessment Probes

4. Algebra, Data Analysis, and Probability Assessment Probes

4. Algebra, Data Analysis, and Probability Assessment Probes

5. Geometry and Measurement Assessment Probes

5. Geometry and Measurement Assessment Probes

Resource A: Template for QUEST Cycle

Resource A: Template for QUEST Cycle

References

References

Index

Index

Description

"Uncovering Student Thinking in Mathematics shows us ways to listen and observe children and their mathematical understandings so we can find better ways to help them take their next learning steps. This book is a gift to educators who 'seek to understand before being understood.'"
—From the Foreword by Anne Davies

"A fresh and unique resource for mathematics teachers who recognize the importance of carefully establishing the starting points of instruction in terms of what students already know. The collection of assessment probes is inventive, engaging for students, and invaluable for teachers."
—Richard H. Audet, Associate Professor, Roger Williams University

Use formative assessment probes to take the guesswork out of mathematics instruction and improve learning!

Students learn at varying rates, and if a misconception in mathematics develops early, it may be carried from year to year and obstruct a student's progress. To identify fallacies in students' preconceived ideas, Uncovering Student Thinking in Mathematics offers educators a powerful diagnostic technique in the form of field-tested assessment probes—brief, easily administered activities to determine students' thinking on core mathematical concepts.

Designed to question students' conceptual knowledge and reveal common understandings and misunderstandings, the probes generate targeted information for modifying mathematics instruction, allowing teachers to build on students' existing knowledge and individually address their identified difficulties.

Linked to National Council of Teachers of Mathematics standards, this invaluable handbook assists educators with:

  • 25 ready-to-use mathematical probes
  • Teacher guides for implementing each probe at any grade level
  • Examples of typical obstacles and faulty thinking demonstrated by students

This rich resource combines standards, educational research findings, and practical craft knowledge to help teachers deliver informed instruction that strengthens all students' learning and achievement in mathematics.

Contents

Foreword by Anne Davies

Foreword by Anne Davies

Preface

Preface

Acknowledgments

Acknowledgments

About the Authors

About the Authors

1. Mathematics Assessment Probes

1. Mathematics Assessment Probes

2. Instructional Implications

2. Instructional Implications

3. Number and Operation Assessment Probes

3. Number and Operation Assessment Probes

4. Algebra, Data Analysis, and Probability Assessment Probes

4. Algebra, Data Analysis, and Probability Assessment Probes

5. Geometry and Measurement Assessment Probes

5. Geometry and Measurement Assessment Probes

Resource A: Template for QUEST Cycle

Resource A: Template for QUEST Cycle

References

References

Index

Index

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Uncovering Student Thinking in Mathematics

25 Formative Assessment Probes

Cheryl Rose Tobey , Leslie G. Minton , Carolyn B. Arline
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December 2006 | 200 pages | Corwin

Format Published Date ISBN Price
Paperback 27/02/2023 9781412940375 $41.95
Hardcover 27/02/2023 9781412940368 $89.95
Lifetime 27/02/2023 9781483334103 $38.00

"Uncovering Student Thinking in Mathematics shows us ways to listen and observe children and their mathematical understandings so we can find better ways to help them take their next learning steps. This book is a gift to educators who 'seek to understand before being understood.'"
—From the Foreword by Anne Davies

"A fresh and unique resource for mathematics teachers who recognize the importance of carefully establishing the starting points of instruction in terms of what students already know. The collection of assessment probes is inventive, engaging for students, and invaluable for teachers."
—Richard H. Audet, Associate Professor, Roger Williams University

Use formative assessment probes to take the guesswork out of mathematics instruction and improve learning!

Students learn at varying rates, and if a misconception in mathematics develops early, it may be carried from year to year and obstruct a student's progress. To identify fallacies in students' preconceived ideas, Uncovering Student Thinking in Mathematics offers educators a powerful diagnostic technique in the form of field-tested assessment probes—brief, easily administered activities to determine students' thinking on core mathematical concepts.

Designed to question students' conceptual knowledge and reveal common understandings and misunderstandings, the probes generate targeted information for modifying mathematics instruction, allowing teachers to build on students' existing knowledge and individually address their identified difficulties.

Linked to National Council of Teachers of Mathematics standards, this invaluable handbook assists educators with:

  • 25 ready-to-use mathematical probes
  • Teacher guides for implementing each probe at any grade level
  • Examples of typical obstacles and faulty thinking demonstrated by students

This rich resource combines standards, educational research findings, and practical craft knowledge to help teachers deliver informed instruction that strengthens all students' learning and achievement in mathematics.


Table Of Contents:

  • Foreword by Anne Davies
  • Preface
  • Acknowledgments
  • About the Authors
  • 1. Mathematics Assessment Probes
  • 2. Instructional Implications
  • 3. Number and Operation Assessment Probes
  • 4. Algebra, Data Analysis, and Probability Assessment Probes
  • 5. Geometry and Measurement Assessment Probes
  • Resource A: Template for QUEST Cycle
  • References
  • Index

Recent Product Reviews:

“The probes in this book give teachers a basis for beginning assessments as well as a guide for assessing manipulatives and activities, not just paper-and-pencil tasks. The guide helps teachers understand student thinking and welcomes deeper understanding and mastery of topics. It is also easy to use with parents to show students’ thinking and to justify grades.”
Teaching Children Mathematics, February 2008, Vol. 14(6), National Council of Teachers of Mathematics
“This resource for K–12 mathematics educators is exactly what the title suggests: It contains 25 formative assessment probes that can be used to drive instruction. This book is easy to read and implement.”
Mathematics Teaching in the Middle School, February 2008, Vol. 13(6)
"Shows us ways to listen and observe children and their mathematical understandings so we can find better ways to help them take their next learning steps. This book is a gift to educators who 'seek to understand before being understood.'"
From the Foreword by Anne Davies
"A fresh and unique resource for mathematics teachers who recognize the importance of carefully establishing the starting points of instruction in terms of what students already know. The collection of assessment probes is inventive, engaging for students, and invaluable for teachers."
Richard H. Audet, Associate Professor, Roger Williams University

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