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Investigating And Visualizing Measurement Error for Novice “STEM” Learners

Presentation on visualizing measurement errors in STEM education for novice learners, focusing on error analysis, model development, and simulations. Includes experiments and pedagogical approaches to enhance understanding.

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Investigating And Visualizing Measurement Error for Novice “STEM” Learners

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  1. Investigating And Visualizing Measurement Error for Novice “STEM” Learners Scott A. Sinex Department of Physical Sciences and Engineering Prince George’s Community College Largo, MD Presented at ASEE Conference 2014in theBest Zone Paper Competition held in Indianapolis, IN on 15-18 June.

  2. …want students to be able to Know how good a measurement is Graph and transform data Derive mathematical models Judge goodness-of-fit Use simulations to explore multivariable models Make predictions, interpret results, draw conclusions Develop conceptual understanding

  3. Students… Calculate %error List some possible causes Propagation of error Change the mindset of students about how to think about errors Faculty… think like a novice and not an expert! craft an experiment with careful scaffolding

  4. Nuts & Bolts of let’s make an error Developed four experiments… ruler Stacking cookies Stacking nested Styrofoam cups balance Nuts & Bolts of extrapolation Each has data collection, model development, and simulations with error analysis

  5. …and what do students do? So let’s examine the stacking cookies experiment

  6. Just add data and presto you get a model Enter data Model (by linear regression) Best-fit line Simulation to manipulate a variable Predictions http://academic.pgcc.edu/~ssinex/excelets/NC/cookies_stack.xls

  7. For the Stacking Cookies Experiment

  8. …and what about ruler error? Here we have induced a constant error http://academic.pgcc.edu/~ssinex/excelets/Ruler_error.xls

  9. Nuts & Bolts of Extrapolation Mtotal = Mnut* n + Mbolt Mtotal Verify model by just add data spreadsheet Mass bolt with from one thru five nuts on it Enter data into Google form for discussion Mass of bolt by extrapolation Student data …and they whine over the finding the equation Determine mass of the bolt on a balance - % error n

  10. The extrapolated value of the bolt

  11. The pedagogical approach… …so now we can extent concepts using simulations

  12. Suppose we used magnesium nuts? http://epublications.bond.edu.au/ejsie/vol5/iss1/3/

  13. Why change? • NRC Framework  Next Generation Science Standards • Common Core Standards in Mathematics • AMATYC - The Right Stuff • MAA CRAFTY College Algebra • ASEE Innovation with Impact • Enhance 21st-century technology in classroom (ISTE, Educause…)

  14. …and students • Are actively engaged • Are using accessible technology • Are involved in science process • Must think • Must develop an understanding of the model • See many multivariable systems • More interactive Excel spreadsheets, see http://academic.pgcc.edu/~ssinex/excelets/matsci_excelets.htm

  15. Questions and more info… • Scott Sinex • See the paper in proceedings http://www.asee.org/documents/sections/middle-atlantic/spring-2013/Investigating-and-Visualizing-Measurement-Error-for-Novice-STEM-Learners.pdf • Contact me - ssinex@pgcc.edu • My thanks to the ASEE Zone 1 selection committee! • This work was supported by the NSF Division of Materials Research Partnership for Research and Education in Materials (PREM) Grant Numbers DMR-0611595 and DMR-1205608. Thanks for coming today!!!

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