NSF DUE /15/2002 Collaborative Research: Adaptation & Implementation of Activity & Web-Based Materials Into Post-Calculus Introductory Probability and Statistics Courses Tracy Goodson-Espy M. Leigh Lunsford Ginger Holmes Rowell

NSF DUE /15/2002 Project* Objectives To improve post-calculus students learning of probability & statistics. To provide students with better preparation for their future careers in mathematics & statistics, mathematics education, and computer science. *This project is partially support by the National Science Foundation. The project starts in June, 2002 and continues through August, 2004.

NSF DUE /15/2002 The Materials for A&I “A Data-Oriented, Active Learning, Post- Calculus Introduction to Statistical Concepts Methods, and Theory (SCMT)”“A Data-Oriented, Active Learning, Post- Calculus Introduction to Statistical Concepts Methods, and Theory (SCMT)” A. Rossman, B. Chance, K. Ballman NSF DUE “Virtual Laboratories in Probability and Statistics (VLPS)”“Virtual Laboratories in Probability and Statistics (VLPS)” K. Siegrist NSF DUE

NSF DUE /15/2002 Statistical Concepts Methods, and Theory (SCMT): A Small Sample of Materials ActivityContextConcepts Description Random- ization Test Friendly Observers Randomization, simulation, p-value Uses cards (23 per student) and Minitab to simulate a randomization test to estimate p- value from a 2x2 table for a psychology study. Equal Likeliness Random Babies Sample space, long-run relative frequency, random variable, expected value, simulation Uses index cards (4 per student) and Minitab to simulate the matching problem and develops probability calculations with equally likely outcomes. Fishers Exact Test Friendly Observers Counting rules, hypergeometric probabilities Exact probabilities for simulation in Randomization Test General vs. Specific The Birthday Problem Applications of counting techniques, complement rule Does calculations for the birthday problem (using a spreadsheet) contrasting any birthday vs. a specific birthday Probability Rules 100 top films, 2000 Michigan primary Variety of basic probability rules Discovery approach through two-way tables and some Venn diagram. HW is very interesting

NSF DUE /15/2002 Virtual Laboratories in Probability & Statistics: An Example Games of Chance Contents 1.PokerPoker 2.Poker Dice and Chuck-a-LuckPoker Dice and Chuck-a-Luck 3.CrapsCraps 4.IntroductionIntroduction 5.RouletteRoulette 6.The Monty Hall ProblemThe Monty Hall Problem 7.LotteriesLotteries 8.NotesNotes Applets Poker Experiment Poker Dice Experiment Chuck-a-Luck Experiment Craps Experiment Roulette Experiment Monty Hall Game Monty Hall Experiment Poker Experiment Applet

NSF DUE /15/2002 A Collaborative Approach Athens State Univ. M. Leigh Lunsford Middle Tenn. St. Univ. Ginger Holmes Rowell Univ. of Alabama, Huntsville Tracy Goodson Espy A&I Materials into Post Calculus Prob/Stat Courses Provide Objective Independent Assessment of A&I

NSF DUE /15/2002 The A&I Cycle SCMT VLPS Materials Use Materials in Courses Evaluate A&I Refine Adaptation Provide Feedback to Material Developers Use Independent Assessment Results to Improve A&I Develop Best Practices for Use of Materials Co-jointly Receive Training on New Materials

NSF DUE /15/2002 Assessment of A&I of Materials Action Research ModelWill Use an Action Research Model* –What is the problem? I.e., what is not working in the classroom? –What technique can be used to address the learning problem? –What type of evidence can be gathered to show whether the implementation is effective? –What should be done next, based on what was learned? * R. delMas, J. Garfield, B. Chance

NSF DUE /15/2002 Project Goals and Outcomes The development of post-calculus probability and statistics courses that produce well-educated students. The integration of technology and group-based activity work into the courses for the purpose of enhancing student learning. The enhancement of student communication skills through oral and written reports and presentations. The improvement and implementation of non-traditional assessment techniques for evaluating students. A contribution to the mathematics community discussion/research concerning what topics/materials/methods should be included in reform- oriented probability and statistics courses to improve overall student understanding of the subject.

NSF DUE /15/2002 Dissemination Presentations at Professional Conferences In-Service Training for High School Statistics Teachers (Spring 2004) Summer Workshop for College Faculty (Summer 2004) Papers in Mathematics Education Journals Project Website: