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Using Insights from SCHEMATYC Workshop in my Statistics Course Naomi Schmidt

Using Insights from SCHEMATYC Workshop in my Statistics Course Naomi Schmidt Department of Economics, Applied Statistics, and International Business New Mexico State University nschmidt@nmsu.edu.  Most Valuable Technique: Start from the student’s frame of reference.

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Using Insights from SCHEMATYC Workshop in my Statistics Course Naomi Schmidt

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  1. Using Insights from SCHEMATYC Workshop in my Statistics Course Naomi Schmidt Department of Economics, Applied Statistics, and International Business New Mexico State University nschmidt@nmsu.edu

  2. Most Valuable Technique: Start from the student’s frame of reference For example, consider the concept of confidence intervals: A teachers union in Nevada selected a random sample of 288 Nevada teachers and examined their salaries. The result of the analysis was the following 90% confidence interval: ($38,944, $42,893). WHY are these interpretations incorrect? They sound good to students! • We are 90% confident that the average teacher salary in the United States is between $38,944 and $42,893. • If we took many random samples of Nevada teachers, about 9 out of 10 of them would produce this confidence interval. • About 9 out of 10 Nevada teachers earn between $38,944 and $42,893. • About 9 out of 10 teachers surveyed earn between $38,944 and $42,893. And so on…

  3. Another example from the student’s perspective Consider the concept of hypotheses for significance tests: The current method for screening women for breast cancer has a failure rate of 20 percent. What are Ho and Ha for a significance test to see if a new method will detect breast cancer more accurately? WHY are these hypotheses incorrect? • Ho: = 0.20 Ha: < 0.10 • Ho: = 0.20 Ha: ≠ 0.20 • Ho: p = 0.20 Ha: p < 0.20 • Ho: p = 0.10 Ha: p < 0.10

  4. Most Valuable Assessment Tool: Use of MC, T/F questions for critical thinking • ARTIST (Assessment Resource Tools for Improving Statistical Thinking) https://apps3.cehd.umn.edu/artist/publications.html • Tools for Teaching and Assessing Statistical Inference http://www.tc.umn.edu/~delma001/stat_tools/

  5. Graph B Graph A Graph C Graph D Example of MC question for critical thinking:A nutritionist works with morbidly obese clients. She wants to predict such a person’s life expectancy based on the amount of his/her excess weight. Which of the following plots best describes this relationship? Life expectancy Life expectancy Excess weight Excess weight Life expectancy Excess weight Excess weight Life expectancy

  6. Summary • What concepts are unclear? • Start with students’ misconceptions and contrast with correct explanation • Wrong answers are valuable tool • LOTS of examples • If topic is too “basic,” try video outside of class • Use online resources

  7. Karen Wells Monroe Community College

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