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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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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

Pre-built into spreadsheet


  • 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




  • Sharing Results Using Google Docs

  • 6 Groups, Each Representing a Different Institution

  • Enter Data In Google Docs Using a Form

  • Examine Data in Real-time Using Google Docs Spreadsheet

  • Collaborative Discussion Between Groups

  • Use of Current Technology In a Collaborative Setting


Online Google Docs Data Entry Form

Link to form on

spreadsheet





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


  • Students Comments

  • 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?

http://academic.pgcc.edu/~ssinex/excelets/matsci_excelets.htm

This work is supported by the Howard/Hopkins/PGCC Partnership for Research and Education in Materials (PREM), funded by NSF Grant No. DMR-0611595


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