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Video
Additional Pattern Videos
Patterns & Algebra
Supporting Classroom Practice
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What is a Pattern?
Patterns & Algebra
Why and What of Patterns
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Assessing Children’s Knowledge of Pattern
Patterns & Algebra
Assessing Patterns & Algebra
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Patterns of Counting Words
Patterns & Algebra
Development of Children's Thinking on Patterns & Algebra
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Classroom Videos
Operations
Supporting Classroom Practice
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Additional Counting Videos
Counting
The Development of Children's Counting
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Additional Operations Videos
Operations
Development of Children's Thinking on Operations
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Patterns in Everyday Activities
Patterns & Algebra
Why and What of Patterns
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Patterns and Algebraic Thinking
Patterns & Algebra
Development of Children's Thinking on Patterns & Algebra
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Growing Patterns
Patterns & Algebra
Development of Children's Thinking on Patterns & Algebra
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Does Charlotte Understand Addition and Mathematical Symbols?
Operations
Development of Children's Thinking on Operations
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Ethan and the Rocks: One-to-One and Fairness
Operations
Development of Children's Thinking on Operations
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Ben Learns How to Add
Operations
Development of Children's Thinking on Operations
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Herb Ginsburg Talks about Counting
Counting
Why and What of Counting
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Anna Counts
Counting
The Development of Children's Counting
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Ben Learns How to Count
Counting
The Development of Children's Counting
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Ben Learns How Many
Counting
The Development of Children's Counting
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Counting for Adults
Counting
The Development of Children's Counting
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How to Analyze a Child's Counting
Counting
Assessing Counting
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Betsy and the Three Mathematical Bears
Spatial Relations
Development of Children's Spatial Relations
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Sawyer's Shapes
Spatial Relations
Development of Children's Spatial Relations
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Pedagogy of the Video Clip
Overview
Early Math: Teaching and Learning
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More Spatial Relations Videos
Spatial Relations
Development of Children's Spatial Relations
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Handout
What Young Children Know and Need to Learn about Patterns and Algebraic Thinking
Patterns & Algebra
Mathematics of Patterns & Algebra
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What Do You Notice?
Patterns & Algebra
Supporting Classroom Practice
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Professor Ginsboo: How Many?
Counting
Mathematics of Counting
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Pattern Paths To Algebra
Patterns & Algebra
Why and What of Patterns
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Teaching Algebraic Thinking to Young Children
Patterns & Algebra
Supporting Classroom Practice
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Professor Ginsboo: Shapes
Spatial Relations
Mathematics of Spatial Relations
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What in the World is a Pattern Unit?
Patterns & Algebra
Why and What of Patterns
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Mathematics of Patterns and Algebra
Patterns & Algebra
Mathematics of Patterns & Algebra
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Pattern and Algebra Assessment Protocols
Patterns & Algebra
Assessing Patterns & Algebra
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Professor Ginsboo: Operations
Operations
Mathematics of Operations
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Formative Assessment: Spotting Patterns
Patterns & Algebra
Assessing Patterns & Algebra
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Professor Ginsboo: Patterns
Patterns & Algebra
Mathematics of Patterns & Algebra
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"Copying and Detecting Aren’t the Same Thing" Vignette
Patterns & Algebra
Vignettes
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"What Do You Notice?" Vignette
Patterns & Algebra
Vignettes
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"When is a Pattern a Caterpillar?" Vignette
Patterns & Algebra
Vignettes
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Pattern, Pattern, Everywhere
Patterns & Algebra
Why and What of Patterns
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Thinking Outside the ABAB Box
Patterns & Algebra
Why and What of Patterns
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Inservice: Building on Counting
Operations
Getting Started
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Preservice: Two Sessions
Operations
Getting Started
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Shape Assessment Protocol
Spatial Relations
Assessing Spatial Relations
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Space Assessment Protocol
Spatial Relations
Assessing Spatial Relations
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Making Sense of Problem Types
Operations
Mathematics of Operations
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What Children Know and Need to Learn about Shape and Space
Spatial Relations
Mathematics of Spatial Relations
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Supporting Counting to Problem Solving
Operations
Supporting Classroom Practice
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Inservice: Getting Started
Counting
Getting Started
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What Young Children Know and Need to Learn about Operations
Operations
Mathematics of Operations
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What Children Know and Need to Learn about Counting
Counting
Mathematics of Counting
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Beginning Strategies for Problem Solving
Operations
Development of Children's Thinking on Operations
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Inservice: Introducing +, - , x , ÷
Operations
Getting Started
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The Mathematics of Counting
Counting
Mathematics of Counting
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Counting on Operations
Operations
Why and What of Operations
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The Mathematics of Operations
Operations
Mathematics of Operations
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"Context Matters" Vignette
Operations
Vignettes
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"Fair Sharing and Sharing Fairly" Vignette
Operations
Vignettes
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Beginning with Multiplication and Division
Operations
Why and What of Operations
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Formative Assessment: It Adds Up
Operations
Assessing Operations
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Addition and Subtraction Clinical Interview Protocol
Operations
Assessing Operations
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Inservice: Going Deeper with Spatial Relations
Spatial Relations
Getting Started
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Formative Assessment: It Counts
Counting
Assessing Counting
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Practicing the Mathematical Practices
Overview
Early Math: Teaching and Learning
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Objects and Our Place Among Them
Spatial Relations
Why and What of Spatial Relations
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Counting and Enumeration Protocol
Counting
Assessing Counting
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Math Matters!
Overview
Early Math: Teaching and Learning
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Overview of Formative Assessments
Overview
Early Math: Teaching and Learning
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DLLs: Assessing Geometry and Spatial Relations
Spatial Relations
Assessing Spatial Relations
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Math Thinking Conversations
Overview
Early Math: Teaching and Learning
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The Mathematics of Geometry and Spatial Relations
Spatial Relations
Mathematics of Spatial Relations
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Formative Assessment: Shaping Up
Spatial Relations
Assessing Spatial Relations
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DLLs and Math in Pre-K
Overview
Early Math: Teaching and Learning
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"When is a Triangle a Triangle?" Vignette
Spatial Relations
Vignettes
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Counting on Counting
Counting
Why and What of Counting
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Who, What, Why of DLLs
Overview
Early Math: Teaching and Learning
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Describe, Draw, Describe
Spatial Relations
Supporting Classroom Practice
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Inservice: Initial Engagement
Counting
Getting Started
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Preservice: Three Sessions
Counting
Getting Started
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Inservice: Deeper Engagement
Counting
Getting Started
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Inservice: One Session on Spatial Relations
Spatial Relations
Getting Started
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Preservice: Two Sessions
Spatial Relations
Getting Started
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Inservice: One Session on Shapes
Spatial Relations
Getting Started
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Inservice: Preparing for PD
Counting
Getting Started
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Geometric Terms and Their Definitions
Spatial Relations
Mathematics of Spatial Relations
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"Engaging Mathematics" Vignette
Counting
Vignettes
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"Play-Based? Math?" Vignette
Counting
Vignettes
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"But I'm Not Good at Math!" Vignette
Counting
Vignettes
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"More Than Hearts and Diamonds" Vignette
Spatial Relations
Vignettes
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Organization and Features of this Website
Overview
Navigating this Website
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Users, Audiences, and Settings
Overview
Navigating this Website
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Submodules Coming Soon (Patterns & Algebra)
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Article
Additional Counting Readings
Counting
The Development of Children's Counting
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Additional Spatial Relations Readings
Spatial Relations
Supporting Classroom Practice
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Additional Overview Readings
Overview
Early Math: Teaching and Learning
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Activity
Engaging Participants around Problem Types
Operations
Mathematics of Operations
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Counting Collections Overview
Counting
Supporting Classroom Practice
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Using Picture Books: Counting
Counting
Supporting Classroom Practice
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Representing Collections
Counting
Supporting Classroom Practice
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Using Picture Books: Spatial Relations
Spatial Relations
Supporting Classroom Practice
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Teaching About Shape
Spatial Relations
Supporting Classroom Practice
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Extending Counting to Operations: Getting Started
Operations
Supporting Classroom Practice
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Extending Counting to Operations: Archie & Caro
Operations
Supporting Classroom Practice
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Analyzing the Thinking Underlying Wrong Answers
Operations
Assessing Operations
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"Context Matters" Activity
Operations
Vignettes
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"Fair-Sharing and Sharing Fairly" Activity
Operations
Vignettes
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Using Picture Books: Addition and Subtraction
Operations
Supporting Classroom Practice
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Analyzing One's Own Thinking to Learn About Children’s
Operations
Assessing Operations
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"More than Hearts and Diamonds" Activity
Spatial Relations
Vignettes
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"When is a Triangle a Triangle?" Activity
Spatial Relations
Vignettes
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Exploring Your Own Thinking
Counting
The Development of Children's Counting
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Describe, Draw, Describe Activity
Spatial Relations
Supporting Classroom Practice
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"But I'm Not Good at Math!" Activity
Counting
Vignettes
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"Engaging Mathematics" Activity
Counting
Vignettes
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Read & Discuss
Counting
Supporting Classroom Practice
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Mathematical Practices Activity
Overview
Early Math: Teaching and Learning
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"Play-Based? Math" Activity
Counting
Vignettes
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Counting Small Collections
Counting
Supporting Classroom Practice
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Getting Started with Counting Collections
Counting
Supporting Classroom Practice
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Counting Large Collections
Counting
Supporting Classroom Practice
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Getting to Know You
Counting
Supporting Classroom Practice
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Role Playing in Counting Collections
Counting
Supporting Classroom Practice
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Questions for Reflection
Counting
Supporting Classroom Practice
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Using Tools in Counting Collections
Counting
Supporting Classroom Practice
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