Research & Videos

All assets below have been shared with permission by Dr. Karen Fuson and may be used for personal educational use only.
Videos may not be redistributed or downloaded.

Dr. Karen Fuson

A mathematics educator and cognitive scientist whose research focuses on children's mathematical understanding and the classroom conditions that can facilitate understanding!

  • Member of the National Research Council (NRC) Committee that wrote Adding It Up, Helping Children Learn Mathematics and Mathematics Early Childhood Learning: Pathways to Excellence and Equity
  • Author of Math Expressions, based on her research in classrooms called the Children's Math World Projects
  • Worked on the Common Core State Standards for mathematics, the learning progressions for these standards, and advised for the PARCC and Smarter Balance tests.

All assets below have been shared with permission by Dr. Karen Fuson and may be used for personal educational use only. Videos may not be redistributed or downloaded.

Research & Resources

Math Expressions Specifc Resources

All assets below have been shared with permission by Dr. Karen Fuson and may be used for personal educational use only. Videos may not be redistributed or downloaded.

Co-Written by Karen Fuson, Shannon Kiebler & Robyn Decker

Summit Replay Video- Posted with Dr. Fuson's permission for all to view.

Co-Written by Karen Fuson, Shannon Kiebler & Robyn Decker

Overview of Teaching
Math Expressions Q & A

This is a lovely document in which Dr. Fuson has recorded her answers to so many of the common questions asked.  From why there isn't zero in kindergarten to why 5th grade begin the year with fractions.

Assessments in math Expressions

Here, Dr. Fuson discusses all of the various assessments offered through Math Expressions, their intentions, modifications, and more.

TeachiNg Progressions

These Teaching Progressions, although built for those using Math Expressions,  can help people using any program understand more deeply how visual supports support math teaching and learning and can enable viewers to see the progressions of math teaching and learning in action.  Her development of visual supports was supported by the National Science Foundation and so anyone can use these supports.

Author paper: Fractions
Author Paper: Numbers in Base Ten

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Author Paper: Problem-Solving
Author Paper: Math Talk
JMore Math Lessons Learned from Research
Journal of Educational Research

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Universal Journal of Educational Research
NCSM Journal Fall/Winter 2012-2013

Other important resources

Learning Progressions


The learning progression documents help us to understand how math concepts develop from K-12th grade and are sorted by domain.

IES Intervention Guide

From the What Works Clearing House, this document was updated in March 2021 and contains the top recommendations for assisting struggling students

Building equitable math talk classrooms

Article written by Karen Fuson and Steve Leinward on the topic of Number Talks and how we can use them better in the classroom

Coming soon

Coming soon

Research Videos from the Children's Math World Project

Classroom Components

The Childrens Math Worlds Project

Building Concepts

Math Talk

Learning Math Talk

Helping Community

Quick Practice

Student Leaders

Math Explanations

Multidigit Addition

Multidigit Subtraction

Word Problems

Single Digit Multiplication and Division

Multidigit Multiplication

Fractions


Longer Classroom Teaching

G1 Multidigit Addition

G3 Multidigit Subtraction

G2 Word Problems

G4 Multidigit Multiplication

G5 Fraction Multiplication

Kindergarten

K Counting Mats

K Word Problems

K Dots to Fingers

K Patterns in Teen Numbers

K Teen Number Cards

K finger Tens in Teen Numbers

K 1 to 20 mats

K Teen Mats

G1 Single-Digit Addition and Subtraction

G1 Break Apart 9 with Stairsteps

 G1 More Than Word Problem

G1 Fewer Than Word Problem

G1 Math Mountain Make a Ten

G1 Teen Subtraction Methods

G1 Single-Digit Multiplication and Division

 G3 Count by 4s

G3 Class Finds 9s Patterns

G3 Teacher Summarizes 9s Patterns

G3 Teaching Finger 9s

G3 Division Word Problems

G4 Comparison Problems

Place Value and Multidigit

G1 Dimes and Pennies QP

G2 routines (Converted)

G2 8 Related Equations QP

G2 4 Methods for 67 + 86

G2 Explaining 580 + 276

G2 Explaining 600 -247

G3 Explaining 700 - 374

G4 Explaining 7-digit Subtraction

Geometry

Part 1

Part 2

Part3

Part4

Part5

G3 & G5 Fractions and Ratios

G3 Equivalent Fractions

G5 Equivalent Fractions

 G5 Unit Fraction x Whole Number QP

 G5 Multiplication Table Puzzles

Teacher Interviews Grade 1

Part 1 G1 Building A Community of Math Learners

Part 2 G1 Building Math Helpers

Part 3 G1 Get The Children Involved

Part 4 G1 Learning English in Math Class

Part 5 G1 Word Problems

Teacher Interviews Grade 2/3

Part 1 G2 Shifting from Being a Traditional Teacher

Part 2 G2 A Second Grade Math Community

Part 3 G2 Building Vocabulary

Part 4 G2 Using Many Methods

Part 5 G3 Building a CMW ESL Classroom

Part 6 G3 Building The Math Talk Classroom

Common Core State Standards & Math Expressions

Part I-Overview of CCSS and Math Expressions

Part II-Overview of CCSS and Math Expressions

Math Expressions & Operations and Algebraic Thinking 

OA Part 1

OA Part 2

OA Part 3


OA Part 4


Math Expressions & Ratios and Proportional Relationships

Part 1 Ratios and Proportional Relationships

Part 2 Ratios and Proportional Relationships

Math Expressions & Number and Operations - Fractions

Part 1 Number and Operations - Fractions DB

Part 2 Number and Operations - Fractions DB

Part 3 Number and Operations - Fractions DB

Part 4 Number and Operations - Fractions DB

Old -Number and Operations - Fractions DB

Math Expressions & Measurement Data

Part 1 Measurement Data DB

Part 2 Measurement Data DB

Part 3 Measurement Data DB

Part 4 Measurement Data DB

Part 5 Measurement Data DB

Part 6 Measurement Data DB

Part 7 Measurement Data DB

Part 8 Measurement Data BU

Math Expressions & Math Talk Community

Part 1 Math talk Community

Part 2 Math talk Community

Part 1 Math talk Community _ Old Exported

Part 2 Math talk Community_ Old Exported

Part 1 Math talk Community _ Old

Part 2 Math talk Community_ Old Exported

Math Expressions & Number and Operations in Base Ten

Part 1 Number and Operations in Base Ten

Part 2 Number and Operations in Base Ten

Part 3  Number and Operations in Base Ten

Part 4  Number and Operations in Base Ten

Part 5  Number and Operations in Base Ten

Part 6 Number and Operations in Base Ten

Part 1 Number and Operations in Base Ten _ Old

Part 2 Number and Operations in Base Ten _ Old

Part 3  Number and Operations in Base Ten _ Old

Part 4  Number and Operations in Base Ten _ Old