Teacher resources and professional development across the curriculum

Teacher professional development and classroom resources across the curriculum

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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
Student Work
Group Example
Classroom Practice*
Observe a Classroom*
Your Journal

PART B: Exploring Communication
Tile Patterns*
Telephone Call
Tiles to Tables
Your Journal

PART C: Defining Communication
The Communication Standard
Using Effective Questioning
Using Precise Language
Additional Methods
Goals*
Your Journal

PART D: Applying Communication
Group Test
Parabola Solution*
Classroom Practice*
Communication in Action
Classroom Checklist*
Your Journal

PART E: Evaluating Communication
Make a Lesson Plan
Summing Up
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
Building Staircases
Student Work #1
Problem Reflection #1
Student Work #2
Problem Reflection #2
Classroom Practice*
Observe a Classroom*
Your Journal

PART B: Exploring Problem Solving
Introduction
Cuisenaire Rod Patterns*
Reflection Questions
Your Journal

PART C: Defining Problem Solving
Introduction
Introducing New Content Via Problems
A Positive Problem-Solving Disposition*
Problem-Solving Techniques and Examples*
Working Backwards
Technology
The Teachers' Role*
Your Journal

PART D: Applying Problem Solving
Introduction*
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
Inscribed Triangles
Problem Reflection #1
Inscribed Triangle Continued.
Problem Reflection #2
Classroom Practice*
Observe a Classroom*
Your Journal

PART B: Exploring Reasoning and Proof
Introduction
Triangular and Square Numbers*
Conjecturing with Algebraic Symbols
Proving the Conjecture
Reflection Questions
Summary
Your Journal

PART C: Defining Reasoning and Proof
Introduction
Deductive Reasoning*
Proof by Contradiction
Inductive Reasoning
Proof by Mathematical Induction
The Teachers' Role*
Your Journal

PART D: Applying Reasoning and Proof
Introduction*
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 Representation
Review Matrix Multiplication
Taxicabs
Student Work
Student Work Reflection #1
Matrix Approach
Interpreting Matrices
Student Work Reflection #2
Classroom Practice*
Observe a Classroom*
Your Journal

PART B: Exploring Representation
Introduction
Try It Yourself: Representations of Infinity*
Analysis
Your Journal

PART C: Defining Representation
The Representation Standard
Connections*
Structure*
Additional Points
Summary
Your Journal

PART D: Applying Representation
Introduction
Double Ferris Wheel*
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
Investigating Functions
Problem Reflection #1
Connecting to Logarithms
Problem Reflection #2
Classroom Practice*
Observe a Classroom*
Your Journal

PART B: Exploring Connections
Introduction
Calculating Interest
A More Efficient Method
Interest Calculator*
Reviewing Connections
Your Journal

PART C: Defining Connections
Introduction
Varieties of Connections*
Other Contexts
The Teacher's Role*
Your Journal

PART D: Applying Connections
Introduction
Falling Objects*
Problem Reflection
Classroom Practice*
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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