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Using a Digital Library to Teach Statistics ICTCM, March 2006 Using a Digital Library to Teach Statistics Lisa Bloomer Green, Ph. D. Scott McDaniel, Ed. D. Ginger Holmes Rowell, Ph. D. Megan Hall*, Ileah McKee* *Undergraduate Students Middle Tennessee State University Outline • CAUSE and CAUSEweb • Using Internet Resources throughout the Learning Cycle • Specific Examples & Activities • Your Ideas CAUSE Consortium for the Advancement of Undergraduate Statistics Education CAUSEweb: Resources Digital Library for Undergraduate Statistics Education www.CAUSEweb.org CAUSEweb Searching: Browse Categories • Lecture Examples • Laboratories • Out-of-class • Teaching Tips • Datasets • Analysis Tools • Curriculum • Humor • Building Blocks • Multimedia Browsing by Statistical Topic CAUSEweb Advanced Search Advanced Searching • Conditional probability – Keyword – Filter by math level • Hypothesis testing – Keyword – Math level – Lecture presentation A Teaching Example Teacher’s View: Applet + Activity = a “Ready-To-Go” Classroom Lesson Finding “Related” Items Related (or Companion) Items are Identified Outline • CAUSE and CAUSEweb • Using Internet Resources throughout the Learning Cycle • Specific Examples • Your Ideas ∆ PowerPoint slides ∆ Reference Materials ∆ History ∆ Demonstrations: ◊ Applets ◊ Videos ◊ Simulations ∆ Data Sets ∆ Case Studies ∆ Guided Demos ∆ Simulations ∆ Laboratories ∆ Applets ∆ Tutorials Explore Lecture Assess ∆ Teacher-directed assessments ◊ Laboratories ◊ Homework Problems ∆ Self-directed assessments ◊ Immediate Feedback Outline • CAUSE and CAUSEweb • Using Internet Resources throughout the Learning Cycle • Specific Examples • Your Ideas To help students understand the use of conditional probability, a teacher can lead a demonstration of the Monty Hall Problem using one of the many available Internet applets. Tutorials, such as Mrs. Glosser’s Math Goodies Lesson on Conditional Probability, can be given to students who miss a class or students that would like additional instruction. Lecture Explore Assess In some self-assessment tools like Trees and Conditional Probability from Tutorials for Finite Math, students receive immediate feedback when answering questions including hints for incorrect answers and steps to correct solutions. To help students understand the use of conditional probability, a teacher can lead a demonstration of the Monty Hall Problem using one of the many available Internet applets. Lecture Explore Assess Whatever applet we choose goes here. Pause to do a worksheet. http://www.shodor.org/~rcogan/interactivate/activities/montynew/index.htmlApplet To help students understand the use of conditional probability, a teacher can lead a demonstration of the Monty Hall Problem using one of the many available Internet applets. Tutorials, such as Mrs. Glosser’s Math Goodies Lesson on Conditional Probability, can be given to students who miss a class or students that would like additional instruction. Lecture Explore Assess http://www.mathgoodies.com/lessons/vol6/conditional.html To help students understand the use of conditional probability, a teacher can lead a demonstration of the Monty Hall Problem using one of the many available Internet applets. Tutorials, such as Mrs. Glosser’s Math Goodies Lesson on Conditional Probability, can be given to students who miss a class or students that would like additional instruction. Lecture Explore Assess In some self-assessment tools like Trees and Conditional Probability from Tutorials for Finite Math, students receive immediate feedback when answering questions including hints for incorrect answers and steps to correct solutions. http://people.hofstra.edu/faculty/Stefan_Waner/RealWorld/t utorialsf3/frames6_5B.html http://ocw.mit.edu/OcwWeb/Mathematics/18-05Spring-2005/CourseHome/index.htm Introduction to Probability and Statistics Lecture Explore Assess This slide from Sampling Distributions can help a teacher guide a discussion on when the sample mean can be assumed to be normally distributed. This applet from Statistical Java demonstrates the convergence implied by the central limit theorem by allowing students to manipulate sample size, number of samples, and underlying distribution. Lecture Explore Assess This guided applet activity from Wise includes assessment questions that, when answered correctly, allow students to proceed to new concepts. This slide from Sampling Distributions can help a teacher guide a discussion on when the sample mean can be assumed to be normally distributed. Lecture Explore Assess http://www.stat.psu.edu/~resources/ClassNotes/hrm_08/sld018.htm This slide from Sampling Distributions can help a teacher guide a discussion on when the sample mean can be assumed to be normally distributed. This applet from Statistical Java demonstrates the convergence implied by the central limit theorem by allowing students to manipulate sample size, number of samples, and underlying distribution. Lecture Explore Assess • Applet Applet http://kitchen.stat.vt.edu/~sundar/java/applets/CLTApplet.html This slide from Sampling Distributions can help a teacher guide a discussion on when the sample mean can be assumed to be normally distributed. This applet from Statistical Java demonstrates the convergence implied by the central limit theorem by allowing students to manipulate sample size, number of samples, and underlying distribution. Lecture Explore Assess This guided applet activity from Wise includes assessment questions that, when answered correctly, allow students to proceed to new concepts. Using StatCrunch http://www.statcrunch.com/ Using StatCrunch Data -> Simulate Data -> Normal Graphics -> Histogram Using StatCrunch Try: • Load sample data • Create a scatterplot • Calculate summary statistics • Calculate a T-statistic value An in-class activity from the STAR Library can help introduce the concept of regression. Applets like this one from SticiGui Java Tools allow students to explore changes in the data to see how they affect the regression line. Lecture Explore Assess Using self-tests like this one from Biometry: Statistics for Ecology, students can submit their answers and receive immediate feedback regarding questions answered correctly and questions or topics needing improvement. An in-class activity from the STAR Library can help introduce the concept of regression. Lecture Explore Assess http://www.causeweb.org/repository/StarLibrary/activities/ buskirk_young2001/ Insert data into TI-83 http://www.cvgs.k12.va.us/DIGSTATS/Sitemap.html Use StatCrunch • Use StatCrunch to determine the Regression line for the rebound height. An in-class activity from the STAR Library can help introduce the concept of regression. Applets like this one from SticiGui Java Tools allow students to explore changes in the data to see how they affect the regression line. Lecture Explore Assess Regression applet http://stat-www.berkeley.edu/~stark/Java/Html/Correlation.htm An in-class activity from the STAR Library can help introduce the concept of regression. Applets like this one from SticiGui Java Tools allow students to explore changes in the data to see how they affect the regression line. Lecture Explore Assess Using self-tests like this one from Biometry: Statistics for Ecology, students can submit their answers and receive immediate feedback regarding questions answered correctly and questions or topics needing improvement. http://aerg.canberra.edu.au/cgibin/tiegen?/share/www/envirostats/bm/L6/ffq12.tie DIGSTATS contains The Intuitor site contains an introduction to hypothesis testing, relating it to what happens at a criminal trial. examples and data sets, like the one below about Acid Rain. Lecture Explore Assess The ARTIST database contains questions classified by topic and learning outcomes. The Intuitor site contains an introduction to hypothesis testing, relating it to what happens at a criminal trial. Lecture Explore Assess http://www.intuitor.com/statistics/T1T2Errors.html DIGSTATS contains The Intuitor site contains an introduction to hypothesis testing, relating it to what happens at a criminal trial. examples and data sets, like the one below about Acid Rain. Lecture Explore Assess http://www.cvgs.k12.va.us/DIGSTATS/Sitemap.html Acid Rain Activity Evaluate Acid Rain Data using StatCrunch • Data -> Load Data -> from paste • Stat -> T Statistics -> One sample DIGSTATS contains The Intuitor site contains an introduction to hypothesis testing, relating it to what happens at a criminal trial. examples and data sets, like the one below about Acid Rain. Lecture Explore Assess The ARTIST database contains questions classified by topic and learning outcomes. https://ore.gen.umn.edu/artist/index.html Exploring ARTIST • Test of Significance: Literacy, Reasoning, Thinking Outline • CAUSE and CAUSEweb • Using Internet Resources throughout the Learning Cycle • Specific Examples • Your Ideas Lisa Green [email protected] Scott McDaniel [email protected] Ginger Holmes Rowell [email protected]