Utilizing a Digital Library to Teach Introductory Statistics
Joint Fall Conference, TMTA and MTMT
Utilizing a Digital Library to Teach Introductory Statistics
Lisa Bloomer Green, Ph. D. Scott McDaniel, Ed. D.
Ginger Holmes Rowell, Ph. D. Megan Duffey*, Ileah McKee*
*Undergraduate Students
Middle Tennessee State University
Outline
• CAUSE and CAUSEweb
• Using Internet Resources throughout the Learning Cycle
• Specific Examples
• 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
CAUSEweb Advanced Search
Advanced Searching
• Conditional probability – Keyword– Filter by math level
• Hypothesis testing– Keyword– Math level– Lecture presentation
Case Study Example
Case Study + Case Teaching Notes
= a “Ready-To-Go” Classroom Lesson= a “Ready-To-Go” Classroom Lesson
Teacher’s Viewpoint:Teacher’s Viewpoint:
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/index.html#pro Applet
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.
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/
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
Acid Rain DatapH Levels
5.13 5.14 4.31 4.33 4.61 4.75
4.50 4.58 4.74 4.69 4.89 4.64
4.40 4.21 4.77 4.54 4.23 4.78
4.83 4.03 4.38 4.28 4.40 4.25
4.94 4.09 4.42 4.53 4.50 5.12
4.09 4.26 4.68 5.18 4.51 4.22
4.35 4.36 4.36 4.77 4.87 4.39
4.64 4.71 4.71 4.27 4.58 4.49
4.38 4.65 4.50 4.54 4.82 4.70
4.88 4.63 4.33 4.83 4.74 4.40
4.87 4.71 4.64 4.12 4.84 4.64
4.34 4.86 4.72 4.69 4.50 4.21
4.75 4.62 4.46 4.80 4.96 4.27
4.67 5.50 4.60 4.46 5.14 4.62
4.24 4.92 3.85 4.38 4.27 4.51
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
Outline
• CAUSE and CAUSEweb
• Using Internet Resources throughout the Learning Cycle
• Specific Examples
• Your Ideas