- Math in not a Problem
- Reading assessment = Word problem
- Translating it into arithmetic
- Doing computations
- Getting the correct answer
- engage students' intellect
- stimulate students to make connections and develop a coherent framework for mathematical reasoning
- based on knowledge of the range of ways that diverse students learn mathematics
- Entry Phase
-
What do I know?
- Reading the question
- Past experience
-
What do I want?
- Write the problem in your own words.
- Watch out for possible ambiguities.
- Don't make assumption
-
What can I introduce?
- Make a diagram
- Write in mathematical notation
- Think outside box
- Attack Phase
-
Brute Force
- Four color theorem
-
Clever Strategy
- Pattern recognition
- Review Phase
-
Check
- Make sure your solution actually works.
-
Reflect
- What were the big realizations?
-
Extend
- Generalization
-
Caution!
- Patterns can be misleading
- Book
Thinking Mathematically by J.Mason