Brainstorming session ideas
- Basic understanding
- Math operations
- Comparing numbers on different scales
- More basic math
- Order of operations
- Laws of Exponents
- Context matters
- Units: 5 grams is not the same as 5 pounds
- Be more specific about what we are talking about.
- Can they put these in order: 0.05, 0.025, 0.10, etc
- Scientific Notation - especially on calculators
Frequencies are different from rates
- Being able to explain without statistical jargon. What is a p-value? What does "reject the null hypothesis" mean in this problem?
Parameters versus statistics
- (We don't fix a problem by making all the samples the same size.)
Every time we use a word like "parameter" we slow the students down.
- Show students how to create a practice test. Tell them to take the sample problems and work them without looking at the solutions.
- 60 + 70 = ?
60% + 70% = ?
If we have 60% market share on the East Coast and 70% market share on the West Coast, what is our overall market share?
- We talk about confounding.
Then we don't discuss it again.
- We talk about randomness.
But I start early. Ten tosses of a coin. Who has special powers? (Who got a long run?) How could we tell if they had special powers, i.e. if they had an unusually long run?
- How to introduce distinguishing reality from noise.