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Graphing Calculators, Technology, and Teaching Mathematics By: Dave Usinski usinski@ecc.edu
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Overview Education Research Products Internet Resources Specific Examples
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Education http://www.higheredinfo.org/dbrowser/index.php?submeasure=36&year=2005&level=nation&mode=graph&state=0
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Education http://www.higheredinfo.org/dbrowser/index.php?submeasure=15&year=2005&level=nation&mode=map&state=0 NAEP – National Assessment of Educational Standards
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Education http://www.higheredinfo.org/dbrowser/index.php?submeasure=36&year=2005&level=nation&mode=graph&state=0 http://www.higheredinfo.org/dbrowser/index.php?submeasure=36&year=2006&level=nation&mode=graph&state=0
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Education – NAEP Trends 9 – year olds http://nationsreportcard.gov/ltt_2008/ltt0002.asp?tab_id=tab1&subtab_id=Tab_1#chart
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Education – NAEP Trends 13-year-olds http://nationsreportcard.gov/ltt_2008/ltt0002.asp?subtab_id=Tab_2&tab_id=tab1#chart
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Education – NAEP Trends 17-year-olds http://nationsreportcard.gov/ltt_2008/ltt0002.asp?tab_id=tab1&subtab_id=Tab_1#chart
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Education Pipeline http://www.higheredinfo.org/dbrowser/?year=2006&level=nation&mode=map&state=0&submeasure=119
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http://www.ppic.org/content/pubs/rb/RB_701JBRB.pdf
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Math Courses Matter!! http://www.aft.org/pubs-reports/american_educator/spring2004/flier.html
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Grades Matter http://www.aft.org/pubs-reports/american_educator/spring2004/flier.html
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…and from the USA Today http://www.usatoday.com/tech/science/mathscience/2007-07-26-take-math- for-science_N.htmhttp://www.usatoday.com/tech/science/mathscience/2007-07-26-take-math- for-science_N.htm
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http://www.emsc.nysed.gov/irts/statistics/hsgrads/2008/table1.html
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https://www.nystart.gov/publicweb-external/2006statewideCIR.pdf
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Common Core Coming sooner than you think!
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Internet Resources
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Other Technologies Available
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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/nonProductSin gle/research_graphing.htmlhttp://education.ti.com/educationportal/sites/US/nonProductSin gle/research_graphing.html
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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.htmlhttp://education.ti.com/educationportal/sites/US/nonProductSingle/ research_graphing.html
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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)
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Internet Resources
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TI Calculator Uses Apps –Algebra (pdf)pdf –CBR – Match the graph –Geometry Solving Equations –y=x 2 + 4x – 12 and y=8x – 15 –Solver –Graphing the intersection
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TI Calculator Uses Factoring –3x 2 + 5x – 12 –Graphing and Solving –Graphing and Comparing Finding the Equation of a Line –Linreg ax+b Complex Numbers
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Algebra Linear Designs Using Matrices to Solve a System of Equations Reduced Row Echelon Form Factoring – checking your answerFactoring How to Factor Solving Absolute Value Inequalities Investigating Slope through Graphing Linear Application Explorations –Hooke’s Law and Drip Problem
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More Algebra Baseball and the Quadratic Equation Free Fall and Quadratics Parabolic Designs
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Algebra II Cooling Liquids Exponential and Logarithm Functions –Compound interest –Exploring the product rule for logarithms Transformations (using absolute value) Exponential Growth and Decay
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Pre Calculus Polar Coordinates – Rose Investigation
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Thank you Presentation by Dave Usinski Presentation is located at: http://city.ecc.edu/usinski/presentations.html Email: usinski@ecc.eduusinski@ecc.edu Cell: 716-698-4893
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