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

 SESSION 1: INTRODUCTION Back to Top 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 Back to Top 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 Back to Top 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 Back to Top 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 Back to Top 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 Back to Top 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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