1 / 23

Misconceptions in Algebra

Misconceptions in Algebra. Steve Rhine, Ed. D. Willamette University. Graphing. Students’ Understanding of Graphing. Results from NAEP Graph the equation y = 5x - 8 [25%] Graph an equation given (-3,0) & (0,5) [5%] Other Research Students can easily graph ordered pairs

jescie-rodgers
Download Presentation

Misconceptions in Algebra

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Misconceptions in Algebra • Steve Rhine, Ed. D. • Willamette University Graphing

  2. Students’ Understanding of Graphing • Results from NAEP • Graph the equation y = 5x - 8 [25%] • Graph an equation given (-3,0) & (0,5) [5%] • Other Research • Students can easily graph ordered pairs • Students struggle with the meaning of axes • Students lack a sense of infinity • How many points lie between (2,5) & (3,7)? none: 18%, one: 42%, #: 22%

  3. What does it mean to understand graphing?

  4. What does it mean to understand graphing? 15 10 5 15 10 5 -12 -5 -1 3 6 9 -15 -20 -25 -12 -8 -4 5 10 15 -4 -8 -12 60 40 20 5 10 15 -15 -10 -5 -20 -40 -60

  5. What does it mean to understand graphing? • Consistent intervals • Numerical order • Scaling must be the same along each axis but can be different between axes • The origin is zero • Graphs can be discrete or continuous

  6. Discrete v. continuous Postal Rates 0.42 0.37 1 2 3 4 5 6 7 8 9 10 11 12

  7. What does it mean to understand graphing? • Infinity between points • Rate of change • Changes in axes’ numbering can communicate different ideas

  8. The Economy is doing fine!

  9. The Economy is in ruins!

  10. Two stories-same data

  11. Strategies • How to Lie with Statistics • Ad Campaign • Have students take an issue and campaign for and against an idea using the same data for both ads. • Act as a company and the competition’s advertising agency. For example, whether it is Burger King making better burgers or that you should buy a Macintosh over a PC. Use the same data for both ads.

  12. Iconic translation Draw a graph describing a ball thrown from one person to another. Use time and distance as your axes.

  13. Iconic Translation Distance Time

  14. Bike Graph

  15. Strategies:Numberless graphs A boy raises a book over his head and lets it fall

  16. STRATEGIES: EXPERIMENTATION DATA REPRESENTATION DATA ANALYSIS

  17. Green Globs www.sunburst.com Project Interactivate www.shodor/com/interactivate

  18. www.vernier.com nlvm.usu.edu illuminations.nctm.org Apple Grapher

  19. Steve Rhine, Ed. D. srhine@willamette.edu web.me.com/rhine5/ATP

More Related