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Using a Digital Library to Teach Statistics ICTCM, March 2006
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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
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Outline CAUSE and CAUSEweb Using Internet Resources throughout the Learning Cycle Specific Examples & Activities Your Ideas
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CAUSE Consortium for the Advancement of Undergraduate Statistics Education
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CAUSEweb: Resources Digital Library for Undergraduate Statistics Education www.CAUSEweb.org
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CAUSEweb Searching: Browse Categories Lecture Examples Laboratories Out-of-class Teaching Tips Datasets Analysis Tools Curriculum Humor Building Blocks Multimedia
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Browsing by Statistical Topic
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CAUSEweb Advanced Search
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Advanced Searching Conditional probability –Keyword –Filter by math level Hypothesis testing –Keyword –Math level –Lecture presentation
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A Teaching Example Applet + Activity = a “Ready-To-Go” Classroom Lesson = a “Ready-To-Go” Classroom Lesson Teacher’s View:
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Finding “Related” Items Related (or Companion) Items are Identified
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Outline CAUSE and CAUSEweb Using Internet Resources throughout the Learning Cycle Specific Examples Your Ideas
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Explore Assess Lecture ∆ PowerPoint slides ∆ Reference Materials ∆ History ∆ Demonstrations: ◊ Applets ◊ Videos ◊ Simulations ∆ Data Sets ∆ Case Studies ∆ Guided Demos ∆ Simulations ∆ Laboratories ∆ Applets ∆ Tutorials ∆ Teacher-directed assessments ◊ Laboratories ◊ Homework Problems ∆ Self-directed assessments ◊ Immediate Feedback
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Outline CAUSE and CAUSEweb Using Internet Resources throughout the Learning Cycle Specific Examples Your Ideas
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Explore Assess Lecture 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. 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.
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Explore Assess Lecture 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.
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Whatever applet we choose goes here. Pause to do a worksheet. http://www.shodor.org/~rcogan/interactivate/activities/montynew/index.html Applet
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Explore Assess Lecture 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.
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http://www.mathgoodies.com/lessons/vol6/conditional.html
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Explore Assess Lecture 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. 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.
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http://people.hofstra.edu/faculty/Stefan_Waner/RealWorld/t utorialsf3/frames6_5B.html
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http://ocw.mit.edu/OcwWeb/Mathematics/18-05Spring-2005/CourseHome/index.htm
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Explore Assess Lecture Introduction to Probability and Statistics
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Explore Assess Lecture 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. This guided applet activity from Wise includes assessment questions that, when answered correctly, allow students to proceed to new concepts.
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Explore Assess Lecture This slide from Sampling Distributions can help a teacher guide a discussion on when the sample mean can be assumed to be normally distributed.
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http://www.stat.psu.edu/~resources/ClassNotes/hrm_08/sld018.htm
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Explore Assess Lecture 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.
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Applet http://kitchen.stat.vt.edu/~sundar/java/applets/CLTApplet.html Applet
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Explore Assess Lecture 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. This guided applet activity from Wise includes assessment questions that, when answered correctly, allow students to proceed to new concepts.
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Using StatCrunch http://www.statcrunch.com/www.statcrunch.com
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Data -> Simulate Data -> Normal Graphics -> Histogram Using StatCrunch
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Try: Load sample data Create a scatterplot Calculate summary statistics Calculate a T-statistic value Using StatCrunch
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Explore Assess Lecture 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. 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.
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Explore Assess Lecture An in-class activity from the STAR Library can help introduce the concept of regression.
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http://www.causeweb.org/repository/StarLibrary/activities/ buskirk_young2001/
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Insert data into TI-83 http://www.cvgs.k12.va.us/DIGSTATS/Sitemap.html
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Use StatCrunch Use StatCrunch to determine the Regression line for the rebound height.
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Explore Assess Lecture 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.
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Regression http://stat-www.berkeley.edu/~stark/Java/Html/Correlation.htm applet
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Explore Assess Lecture 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. 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.
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http://aerg.canberra.edu.au/cgi- bin/tiegen?/share/www/envirostats/bm/L6/ffq12.tie
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Explore Assess Lecture The Intuitor site contains an introduction to hypothesis testing, relating it to what happens at a criminal trial. DIGSTATS contains examples and data sets, like the one below about Acid Rain. The ARTIST database contains questions classified by topic and learning outcomes.
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Explore Assess Lecture The Intuitor site contains an introduction to hypothesis testing, relating it to what happens at a criminal trial.
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http://www.intuitor.com/statistics/T1T2Errors.html
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Explore Assess Lecture The Intuitor site contains an introduction to hypothesis testing, relating it to what happens at a criminal trial. DIGSTATS contains examples and data sets, like the one below about Acid Rain.
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http://www.cvgs.k12.va.us/DIGSTATS/Sitemap.html
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Acid Rain Activity
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Evaluate Acid Rain Data using StatCrunch Data -> Load Data -> from paste Stat -> T Statistics -> One sample
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Explore Assess Lecture The Intuitor site contains an introduction to hypothesis testing, relating it to what happens at a criminal trial. The ARTIST database contains questions classified by topic and learning outcomes. DIGSTATS contains examples and data sets, like the one below about Acid Rain.
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https://ore.gen.umn.edu/artist/index.html
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Exploring ARTIST Test of Significance: Literacy, Reasoning, Thinking
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Outline CAUSE and CAUSEweb Using Internet Resources throughout the Learning Cycle Specific Examples Your Ideas
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Lisa Green lbgreen@mtsu.edu Scott McDaniel smcdanie@mtsu.edu Ginger Holmes Rowell rowell@mtsu.edu
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