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SESSION 1: INTRODUCTION
SESSION 2: COMMUNICATION
SESSION 3: PROBLEM SOLVING
SESSION 4: REASONING AND PROOF
SESSION 5: REPRESENTATION
SESSION 6: CONNECTIONS
SESSION 1: INTRODUCTION

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Overview

PART A: How To Take This Course
Introduction
Technical Requirements
Course Authors

PART B: The NCTM Standards
Introduction
Standards Summary

PART C: Course Goals and Structure
Overall Goal
Observe
Explore
Define
Apply
Evaluate

PART D: Course Overview
The Syllabus

PART E: Course Pretest
Questions
Pretest

Reference


* Section contains flash activity or video

SESSION 2: COMMUNICATION

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Overview

PART A: Observing Student Communication
Introduction
Hidden Pattern Blocks
Describing a Hexagon
Problem Reflection #1
Classroom Practice*
Problem Reflection #2
Observe a Classroom*
Your Journal

PART B: Exploring Communication
Introduction
Finding the Area of Different Figures
Try It Yourself: Finding the Area of Dot-Paper Shapes*
Summary
Your Journal

PART C: Defining Communication
Introduction
Mathematical Communication in Young Children*
Additional Strategies*
The Teacher's Role*
Summary
Your Journal

PART D: Applying Communication
Introduction
Equivalent Expressions*
Problem Reflection
Classroom Practice*
Communication in Action
Classroom Checklist*
Your Journal

PART E: Evaluating Communication
Make a Lesson Plan
Summing Up the Session
Final Journal

Reference


* Section contains flash activity or video

SESSION 3: PROBLEM SOLVING

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Overview

PART A: Observing Student Problem Solving
Introduction
How Many Vehicles? -- Using Counters
Problem Reflection #1
How Many Vehicles? -- Using Numbers and Cubes
Problem Reflection #2
Classroom Practice*
Observe a Classroom*
Your Journal

PART B: Exploring Problem Solving
Introduction
Chairs, Stools, and Tennis Balls*
Problem Reflection
Your Journal

PART C: Defining Problem Solving
Introduction
Posing Problems in a Variety of Contexts*
Mathematical Stories
Assessing Student Thinking*
Teacher's Role*
Your Journal

PART D: Applying Problem Solving
Introduction
Measuring Ant Tunnels*
Problem Reflection
Classroom Practice*
Problem Solving in Action
Classroom Checklist*
Your Journal

PART E: Evaluating Problem Solving
Make a Lesson Plan
Summing Up the Session
Final Journal

Reference


* Section contains flash activity or video

SESSION 4: REASONING AND PROOF

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Overview

PART A: Observing Student Reasoning and Proof
Introduction
Completing Patterns #1
Problem Reflection #1
Completing Patterns #2
Problem Reflection #2
Classroom Practice*
Observe a Classroom*
Questions and Answers
Your Journal

PART B: Exploring Reasoning and Proof
Introduction
Difference Trains*
Problem Reflection
Your Journal

PART C: Defining Reasoning and Proof
Introduction
Pattern Recognition*
Repeating Patterns
Reasoning About Repeating Patterns
Growing Patterns
Classification*
Your Journal

PART D: Applying Reasoning and Proof
Introduction
Using Venn Diagrams*
Classroom Practice*
Reasoning and Proof in Action
Classroom Checklist*
Your Journal

PART E: Evaluating Reasoning and Proof
Make a Lesson Plan
Summing Up the Session
Final Journal

Reference


* Section contains flash activity or video

SESSION 5: REPRESENTATION

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Overview

PART A: Observing Student Representation
Introduction
Estimating Blocks
Problem Reflection #1
Counting Blocks
Problem Reflection #2
Classroom Practice*
Observe a Classroom*
Reflection Questions
Your Journal

PART B: Exploring Representation
Introduction
Scaling Area*
Problem Reflection
Summary
Your Journal

PART C: Defining Representation
Introduction
Concrete Models*
Written Representations
The Teacher's Role*
Summary
Your Journal

PART D: Applying Representation
Introduction
Taking a Sample*
Problem Reflection
Classroom Practice*
Representation in Action
Classroom Checklist*
Your Journal

PART E: Evaluating Representation
Make a Lesson Plan
Summing Up the Session
Final Journal

Reference


* Section contains flash activity or video

SESSION 6: CONNECTIONS

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Overview

PART A: Observing Student Connections
Introduction
Cutting Squares
Problem Reflection #1
Designing a Paper Quilt
Problem Reflection #2
Classroom Practice*
Observe a Classroom*
Reflection Questions
Your Journal

PART B: Exploring Connections
Introduction
The Tangram Puzzle*
Making Connections
Reflection Questions
Your Journal

PART C: Defining Connections
Introduction
Everyday Life*
Connections Within Mathematics*
Additional Connections *
Your Journal

PART D: Applying Connections
Introduction
Graphs
Dealing with Data*
Classroom Practice*
Connections in Action
Classroom Checklist*
Your Journal

PART E: Evaluating Connections
Make a Lesson Plan
Summing Up the Session
Final Journal

Reference


* Section contains flash activity or video
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