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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
Sample Play
Possible Moves
Possible Options
Student Work
Questions and Answers
Observe a Classroom *
Classroom Practice*
Your Journal

PART B: Exploring Communication
Introduction
Problem: Shaded/Unshaded Circles
Solution: Shaded/Unshaded Circles
Talking About the Problem
Representing Fractions with Rods
Other Denominators
Modeling Operations
Try It Yourself: Cuisenaire Rods*
Problem Reflection
Summary
Your Journal

PART C: Defining Communication
The Communication Standard*
Using Effective Questioning
Using Precise Language
Additional Communication Strategies*
Communication and the Other Process Standards
The Classroom Environment
Summary
Your Journal

PART D: Applying Communication
Location Graphs*
Problem Reflection
Classroom Practice*
Assessing Student Understanding
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
Making "Ominos"
Student Work
Questions and Answers
Student Work Reflection
Observe a Classroom*
Classroom Practice*
Your Journal

PART B: Exploring Problem Solving
Introduction
Try It Yourself: Finding Pentominos*
Making Boxes
Problem Reflection
Your Journal

PART C: Defining Problem Solving
The Problem-Solving Standard
Organizing Data
Draw a Diagram or Make a Model*
Organize the Data in a List, Diagram, Table, or Graph
Generate and Eliminate Candidates
Additional Problem-Solving Strategies*
Low Threshold, High Ceiling Problems
Summary
Your Journal

PART D: Applying Problem Solving
The Largest Container
The Largest Container in Action*
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
Problem: Building Rafts with Rods
Solution: Building Rafts with Rods
Student Work #1
Questions and Answers #1
Student Work Reflection #1
Student Work #2
Questions and Answers #2
Student Work Reflection #2
Observe Classroom*
Classroom Practice*
Your Journal

PART B: Exploring Reasoning and Proof
Introduction
Try It Yourself: The Frosted Cube Cake *
Problem: Math Banquet
Solution: Math Banquet
Verifying the Problem Algebraically
Problem Reflection
Your Journal

PART C: Defining Reasoning and Proof
The Reasoning and Proof Standard
Inductive and Deductive Reasoning
Thinking About Reasoning in the Classroom *
Questions and Answers
Connecting to the Other Process Standards
Summary
Your Journal

PART D: Applying Reasoning and Proof
Reasoning About Fractions
Reasoning About Fractions in Action*
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 Representations
Introduction
Building Viewpoints
Student Work Reflection #1
More Building Viewpoints
Student Work Reflection #2
Observe a Classroom*
Classroom Practice*
Your Journal

PART B: Exploring Representation
Introduction
Try It Yourself: Interpreting Stories and Graphs*
Summary
Your Journal

PART C: Defining Representation
The Representation Standard
Visual Representations*
Tables, Graphs, and Variables
Additional Points
Summary
Your Journal

PART D: Applying Representation
Introduction
Building Rafts with Rods*
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
Building Viewpoints
Questions and Answers #1
More Building Viewpoints
Questions and Answers #2
Observe a Classroom*
Classroom Practice*
Your Journal

PART B: Exploring Connections
Introduction
Try It Yourself: 3D Figures/Isometric Dot Paper*
Problem Reflection
Summary
Your Journal

PART C: Defining Connections
The Connections Standard
The Interconnectedness of Mathematics*
Applying Mathematics to Other Subjects*
Asking Questions
Relating Connections to the Other Process Standards*
Your Journal

PART D: Applying Connections
Introduction*
Using Hexominos to Manufacture Boxes
Problem Reflection
The Hexominos Problem 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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