Math Endorsement - Day 1

Vocabulary for Course

• Explicit vs Implicit
• Engagement
  
• Concrete - using tangible items
  
• Representational - using a diagram
  
• Abstract - using a number sentence

Example - Liam has 5 trucks. How many wheels are on all 5 trucks?

• Concrete - students solve problem looking at 5 toy trucks and counting the wheels on each truck.
• Representational - students solve problem by drawing a picture of 5 trucks that each have 5 wheels and then counting the wheels.
• Abstract - students solve problem using the number sentence 4+4+4+4+4=20 or 5x4=20

How do you teach students what you want them to learn?

• Know where they are starting
• Where do you (the teacher) want them to be?
• What do you (the teacher) want them to know?
• Model math practices
• Analyze student thinking errors
• Make use of student background
• You have to know where your students are going - it doesn't end in your class, math builds on each other. Example: adding and subtracting fractions leads to algebraic thinking.
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Assignment for next class:

• Parker - 1.1 and 1.2
• Van de Walle - pgs 134 - 138 (Part/Whole relationships)