Advanced Statistics (AdvSTAT)
Purpose:
The T3 ADV STAT Institute is a week long professional
development program for secondary mathematics instructors using the TI-83
to prepare for teaching a senior level statistics course. The Institute's
activities will focus on the exploration of statistical concepts and
problems that are the core of the Advanced Placement Statistics
Curriculum, with a strong emphasis on inferential statistics.
Participants will take part in hands-on investigations modeling effective
classroom use of technology for teaching statistics. The goal of the
institute's program is to instruct teachers to effectively teach Advanced
Placement Statistics using technology in the spirit of NCTM's
Curriculum and Evaluation Standards for School Mathematics (NCTM,
1989), Professional Teaching Standards (NCTM, 1991) and
Assessment Standards for School Mathematics (NCTM, 1995).
Objectives:
The objectives of the T3 ADV STAT Institute are:
- To develop teachers' familiarity and facility with the TI-83,
- To provide models in the exploration/investigation mode of teaching
secondary mathematics,
- To provide teachers with experience in problem situations similar to
those on the Advanced Placement examination,
- To develop teachers' understanding of statistical processes and
reasoning,
- To provide examples and explorations that will be useful in preparing
students to pass an introductory university statistics course.
Targeted Audience:
Participants in the ADV STAT institute should be those interested in
teaching statistics as a course or in teaching an Advanced Placement
course. Teachers of introductory statistics courses from two year or
community colleges might also find the content and examples useful.
Knowledge of beginning exploratory data analysis and probability will be
assumed.
Schedule:
Topic 1: Exploring Data
Summarizing data
One variable statistics
Standardized scores
Regression
Topic 2: Experimental Design
Experiment, Observational Study
Types of Experiments
Effect of Extraneous Variables
Randomization
Bias
Topic 3: Probability and Simulations
Probability Theory
Random Variables
Simulations
Random Binomials
Topic 4: Normal Distribution
Standard Normal Curve
Normal Curves
Probability Density Functions
Cumulative Probability Density Functions
Topic 5: Inferential Statistics
Confidence Intervals for Proportions
Central Limit Theorem
Topic 6: Hypothesis Testing
Hypothesis Testing for Proportions
Hypothesis Testing for Means
Chi-Square Tests
Inference for Regression
Author:
Calvin L. Williams,
Mathematical Sciences-Clemson University,
Clemson University
Last updated:
February 23, 1999
Send Comments to :
calvinw@math.clemson.edu