Vocabulary for Course
- Explicit vs Implicit
- Engagement
- Concrete - using tangible items
- Representational - using a diagram
- Abstract - using a number sentence
- 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
- 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.
- Parker - 1.1 and 1.2
- Van de Walle - pgs 134 - 138 (Part/Whole relationships)