Transcript Probability and Statistics Theme

Probability and Statistics
Theme
MAA PREP Workshop
July 10th 2003
Maria G. Fung
NCTM Probability and Statistics
Highlights
Collect, organize, and display data
Use appropriate statistical methods to
analyze data
Develop inferences and predictions that
are based on data
Understand and apply basic concepts of
probability
Probability and Statistics at WOU
Foundational Probability and Statistics
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Statistics
Collecting and Graphing Data
Describing and Analyzing Data
Sampling, Predictions, and Simulation
Probability
Single-Stage Experiments
Multistage Experiments
Advanced Probability and Statistics
for K-8 Teachers
Explores the above topics in more depth
Includes a lab component using Fathom
Centers about activities that model probability
and statistics instruction in the K-8 classroom
Allows students to consider real data
Checkerboard Games Activities
Introduction to or illustration of experimental
probability
Predictions made and recorded
Discussion of results
Student-suggested limitations:
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small sample
“fair”? dice
time constraints
Simulation in Fathom
Connections to other topics: binomial
distributions, normal curve, Pascal’s triangle
The Good, the Bad, and the Ugly
Modeled after a Sergio Leone’s Western
Duel continued until one is left un-hit
Shooting continued in the order Ugly-Good-Bad
after a hit
Whole class discussion of Ugly’s best strategy
Simulation strategies considered
Geometric series analysis not necessary
Area probability models shown
Design You Own
Work on creating an activity or lesson
plans centered around probability theory
Use the provided materials in your
Resource Notebooks or any ideas of your
own
Make a poster or a presentation of your
work to be shared with the group
Fathom Activities
Rowers’ Weights: exercise on looking at data
and median/mean resistance
Women Senators: categorical variables and
their graphical interpretations
Televisions and Life Expectancy: correlation is
not the same as causality; least square line
Boy and Girl Births: binomial distribution
simulation
Coin Ages: Sampling and a lead into the
Central Limit Theorem
Design or Adapt a Fathom Activity
Use the files on your disk or create your
own data with Fathom
Write a lab exercise or activity or
exploration
Share your work with the group
Statistics Assessment
Statistics Labs (√-, √, √+)
Statistics Journals (e.g. reflections on
“How to Lie with Statistics”, reports on
NCTM Materials)
Statistics Homework (using POW’s format)
Exams (with an emphasis on conceptual
understanding and not computations)
Final Project