Graphing Calculators, Technology, and Teaching Mathematics

1. Graphing Calculators, Technology,andTeaching Mathematics By: Dave Usinski usinski@ecc.edu

2. Overview • Education • Research • Products • Internet Resources • Specific Examples

3. Education http://www.higheredinfo.org/dbrowser/index.php?submeasure=36&year=2005&level=nation&mode=graph&state=0

4. NAEP – National Assessment of Educational Standards Education http://www.higheredinfo.org/dbrowser/index.php?submeasure=15&year=2005&level=nation&mode=map&state=0

5. Education http://www.higheredinfo.org/dbrowser/index.php?submeasure=36&year=2006&level=nation&mode=graph&state=0 http://www.higheredinfo.org/dbrowser/index.php?submeasure=36&year=2005&level=nation&mode=graph&state=0

6. Education – NAEP Trends 9 – year olds http://nationsreportcard.gov/ltt_2008/ltt0002.asp?tab_id=tab1&subtab_id=Tab_1#chart

7. Education – NAEP Trends 13-year-olds http://nationsreportcard.gov/ltt_2008/ltt0002.asp?subtab_id=Tab_2&tab_id=tab1#chart

8. Education – NAEP Trends 17-year-olds http://nationsreportcard.gov/ltt_2008/ltt0002.asp?tab_id=tab1&subtab_id=Tab_1#chart

9. Education Pipeline http://www.higheredinfo.org/dbrowser/?year=2006&level=nation&mode=map&state=0&submeasure=119

10. http://www.ppic.org/content/pubs/rb/RB_701JBRB.pdf

11. Math Courses Matter!! http://www.aft.org/pubs-reports/american_educator/spring2004/flier.html

12. Grades Matter http://www.aft.org/pubs-reports/american_educator/spring2004/flier.html

13. …and from the USA Today • http://www.usatoday.com/tech/science/mathscience/2007-07-26-take-math-for-science_N.htm

14. http://www.emsc.nysed.gov/irts/statistics/hsgrads/2008/table1.htmlhttp://www.emsc.nysed.gov/irts/statistics/hsgrads/2008/table1.html

15. https://www.nystart.gov/publicweb-external/2006statewideCIR.pdfhttps://www.nystart.gov/publicweb-external/2006statewideCIR.pdf

16. https://www.nystart.gov/publicweb-external/2006statewideCIR.pdfhttps://www.nystart.gov/publicweb-external/2006statewideCIR.pdf

17. Common CoreComing sooner than you think!

18. Internet Resources

19. Other Technologies Available

20. Why Graphing Calculators? • Key Findings to Recent Research Studies: • When teachers incorporated graphing calculators into their curriculum more frequently and with greater intensity, including during less frequent math topics, student achievement was higher. • The more access students have to graphing calculators and more frequent use during instruction, the higher their end-of-course test scores. • Increased use of graphing calculators during instruction resulted in higher test scores even when students did not use graphing calculators during testing. • http://education.ti.com/educationportal/sites/US/nonProductSingle/research_graphing.html

21. Why Graphing Calculators? • More Key Findings to Recent Research Studies: • Strong evidence showed that student use of graphing calculators increased performance in algebra. • Students who received instruction using graphing calculators performed as well or significantly better in conceptual, problem solving and operational skill areas. • Students using calculators during instruction – but not during assessment – performed as well or better in all five math skill areas. This key finding also indicates that student math skills did not suffer even without calculator use specifically during assessment. • Students using calculators had better attitudes toward mathematics than their noncalculator-using counterparts. • http://education.ti.com/educationportal/sites/US/nonProductSingle/research_graphing.html

22. Products Available • Traditional Graphing Calculators: • TI 83 plus/silver edition • TI 84 plus/silver edition • TI 89 Titanium • Presentation Tools • TI Presenter • TI Overhead Panel • TI Smartview • Newest Products • TI Nspire /CAS • TI Nspire Computer Software (and CAS)

23. Internet Resources

24. TI Calculator Uses • Apps • Algebra (pdf) • CBR – Match the graph • Geometry • Solving Equations • y=x2 + 4x – 12 and y=8x – 15 • Solver • Graphing the intersection

25. TI Calculator Uses • Factoring • 3x2 + 5x – 12 • Graphing and Solving • Graphing and Comparing • Finding the Equation of a Line • Linreg ax+b • Complex Numbers

26. Algebra • Linear Designs • Using Matrices to Solve a System of Equations • Reduced Row Echelon Form • Factoring – checking your answer • How to Factor • Solving Absolute Value Inequalities • Investigating Slope through Graphing • Linear Application Explorations • Hooke’s Law and Drip Problem

27. More Algebra • Baseball and the Quadratic Equation • Free Fall and Quadratics • Parabolic Designs

28. Algebra II • Cooling Liquids • Exponential and Logarithm Functions • Compound interest • Exploring the product rule for logarithms • Transformations (using absolute value) • Exponential Growth and Decay

29. Pre Calculus • Polar Coordinates – Rose Investigation

30. Thank you • Presentation by Dave Usinski • Presentation is located at: • http://city.ecc.edu/usinski/presentations.html • Email: usinski@ecc.edu • Cell: 716-698-4893