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

Applet + Activity

= a “Ready-To-Go” Classroom Lesson= a “Ready-To-Go” Classroom Lesson

Teacher’s View:Teacher’s View:

Finding “Related” Items

Related (or Companion) Items are Identified

Outline

• CAUSE and CAUSEweb

• Using Internet Resources throughout the Learning Cycle

• Specific Examples

• Your Ideas

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

Outline

• CAUSE and CAUSEweb

• Using Internet Resources throughout the Learning Cycle

• Specific Examples

• Your Ideas

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.

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.

Whatever applet we choose goes here. Pause to do a worksheet.

http://www.shodor.org/~rcogan/interactivate/activities/montynew/index.htmlApplet

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.

http://www.mathgoodies.com/lessons/vol6/conditional.html

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.

http://people.hofstra.edu/faculty/Stefan_Waner/RealWorld/tutorialsf3/frames6_5B.html

http://ocw.mit.edu/OcwWeb/Mathematics/18-05Spring-2005/CourseHome/index.htm

Explore

Assess

Lecture

Introduction to Probability and Statistics

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.

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.

http://www.stat.psu.edu/~resources/ClassNotes/hrm_08/sld018.htm

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.

• Applet

http://kitchen.stat.vt.edu/~sundar/java/applets/CLTApplet.html

Applet

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.

Using StatCrunch

http://www.statcrunch.com/

Data -> Simulate Data -> NormalGraphics -> Histogram

Using StatCrunch

Try:

• Load sample data

• Create a scatterplot

• Calculate summary statistics

• Calculate a T-statistic value

Using StatCrunch

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.

Explore

Assess

Lecture

An in-class activity from the STAR

Library can help introduce the concept

of regression.

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.

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.

Regression

http://stat-www.berkeley.edu/~stark/Java/Html/Correlation.htm

applet

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.

http://aerg.canberra.edu.au/cgi-bin/tiegen?/share/www/envirostats/bm/L6/ffq12.tie

Explore

Assess

LectureThe 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.

Explore

Assess

LectureThe Intuitor site

contains an introduction to

hypothesis testing, relating it to what

happens at a criminal trial.

http://www.intuitor.com/statistics/T1T2Errors.html

Explore

Assess

LectureThe 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.

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

Explore

Assess

LectureThe 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.

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 Greenlbgreen@mtsu.edu

Scott McDanielsmcdanie@mtsu.edu

Ginger Holmes Rowellrowell@mtsu.edu