Mass, Measurement, Materials, and Mathematical Modeling: The Nuts and Bolts of Extrapolation

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Mass, Measurement, Materials, and Mathematical Modeling: The Nuts and Bolts of Extrapolation Ted Chambers – Prince George’s Community College Scott Sinex - Prince George’s Community College Josh Halpern – Howard University. Presented at ACS MARM, College Park, MD on 21 May 2011.

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Presentation Transcript

Mass, Measurement, Materials, and

Mathematical Modeling:

The Nuts and Bolts of Extrapolation

Ted Chambers – Prince George’s Community College

Scott Sinex - Prince George’s Community College

Josh Halpern – Howard University

Presented at ACS MARM, College Park, MD on 21 May 2011

First Semester Chemistry Activity

• 24 Students - Worked in Groups of 4
• Group Interaction to Discover Underlying Concepts
• Experience Gained
• Graphing
• Data Analysis Using Excel
• Mathematical Modeling Using Excel
• Group Collaboration Using Google Docs

Technique Used

• Mass a Bolt with One through Five Nuts On It
• Determine Mathematical Model for the Data
• Extrapolate To “Zero Nuts” To Determine Bolt’s Mass
• Enter Data In Google Docs
• Group Collaboration - Discussion Based on Google Docs Data
• Explore Effect of Scatter in Data
• Explore Pitfalls of Extrapolation

Data Analysis

Examine Data Locally

Enter Data and Results In Google Docs

Examine Data Collaboratively Using Google Docs

Local Evaluation of Data Variation and Extrapolation Pitfalls

• 6 Groups, Each Representing a Different Institution
• Enter Data In Google Docs Using a Form
• Collaborative Discussion Between Groups
• Use of Current Technology In a Collaborative Setting

Online Google Docs Data Entry Form

Effect of Variation in Data Using Excel

• Performed Locally – Not in Google Docs
• Random Variation in Mass
• Effect On Slope
• Effect on Goodness of Fit
• Density of materials (not discussed today)

Possible Pitfall

Extrapolating Past Known Data Range

Students Provided Anonymous Feedback

Results of Ranking Questions

out of 5

Instructions Clear and Unambiguous 4.33

Activity Was Informative About Extrapolation 4.38

Size of Work Groups Appropriate 4.54

Activity Rated as a Learning Experience 4.13

Activity Overall Rating 4.20

• Positive Feedback
• Using Google Docs to Compare and Discuss Results
• Using Excel for Modeling and Data Analysis
• Working In Groups
• Bringing Innovation to First Semester Chemistry Course
• Using The Same Format to Look at Different Group’s Data
• Suggestions and Negative Feedback
• Activity Too Long (took 2.5 hours)
• More Computers in Lab With Internet Connectivity

General Lab Activity Results

• Good Discussion Within Groups
• Good Discussion Between Groups Using Google Docs
• Exploring Differences In Results
• Raised Awareness of Possible Pitfalls of Extrapolation
• Good Data Agreement Between Groups

Questions?