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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
Problem: Folded-Square Shapes
Solution: Folded-Square Shapes
Problem Reflection #1
Problem: Sorting Shapes
Solution: Sorting Shapes
Problem Reflection #2
Classroom Practice*
Observe a Classroom*
Your Journal

PART B: Exploring Communication
Are These Shapes Congruent?
Try It Yourself: Congruent Shapes*
Problem Reflection
Your Journal

PART C: Defining Communication
Introduction
Developing Mathematical Ideas Through Communication*
Analyzing and Evaluating the Thinking of Others*
Additional Strategies*
Your Journal

PART D: Applying Communication
Introduction
Bubble Gum Contest*
Extending the Activity
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
Which Group Paid More?
Problem Reflection #1
Sharing-Division Word Problem
Problem Reflection #2
Classroom Practice*
Observe a Classroom*
Summary
Your Journal

PART B: Exploring Problem Solving
Introduction
Try It Yourself: Unit Prices*
Problem Reflection
Your Journal

PART C: Defining Problem Solving
Introduction
Connecting to Other Problem-Solving Experiences*
Teacher's Role*
Monitor and Reflect on Problem Solving
Providing Rich Problems*
Your Journal

PART D: Applying Problem Solving
Introduction
Sharing Cookies*
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
Sums of Numbers
Problem Reflection #1
Products of Numbers
Problem Reflection #2
Classroom Practice*
Observe a Classroom*
Your Journal

PART B: Exploring Reasoning and Proof
Try It Yourself: Factors of 24*
Extending the Activity
Problem Reflection
Your Journal

PART C: Defining Reasoning and Proof
Introduction
Investigating Conjectures *
Reasoning and Justification *
Additional Methods*
Your Journal

PART D: Applying Reasoning and Proof
Introduction
How Many Valentines?*
Problem Reflection
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
Representing Data
Problem Reflection #1
Is This Circle Graph Correct?
Problem Reflection #2
Classroom Practice*
Observe a Classroom*
Your Journal

PART B: Exploring Representation
Try It Yourself: Typical Week*
Equations Related to Data
Problem Reflection
Your Journal

PART C: Defining Representation
Introduction
Defining Representation*
Connecting Representations
The Teacher's Role
Your Journal

PART D: Applying Representation
Introduction
Arrays and Fractions*
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
Hexominos
Sorting Hexominos
Student Work
Problem Reflection #1
Hexominos Into Cubes
Problem Reflection #2
Classroom Practice*
Observe a Classroom*
Your Journal

PART B: Exploring Connections
Introduction
Try It Yourself: Area and Perimeter*
The Products Game
Problem Reflection
Your Journal

PART C: Defining Connections
Introduction
Connections to Other Contexts*
Connections Between Representations*
Additional Connections*
Your Journal

PART D: Applying Connections
Introduction
Decorative Boxes*
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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