Graphing Calculators and Teaching Mathematics

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Transcript Graphing Calculators and Teaching Mathematics

Graphing Calculators, Technology, and Teaching Mathematics 0011 0010 1010 1101 0001 0100 1011

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By: Dave Usinski [email protected]

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Overview 0011 0010 1010 1101 0001 0100 1011 • Education • Research • Products • Internet Resources • Specific Examples

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Education 0011 0010 1010 1101 0001 0100 1011

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2 5 http://www.higheredinfo.org/dbrowser/index.php?submeasure=36&year=2005&level=nation&mode=graph&state=0 3

NAEP – National Assessment of Educational Standards Education 0011 0010 1010 1101 0001 0100 1011

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2 5 http://www.higheredinfo.org/dbrowser/index.php?submeasure=15&year=2005&level=nation&mode=map&state=0 3

Education 0011 0010 1010 1101 0001 0100 1011

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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 2 5 3

Education – NAEP Trends 9 – year olds 0011 0010 1010 1101 0001 0100 1011 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 0011 0010 1010 1101 0001 0100 1011 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 0011 0010 1010 1101 0001 0100 1011 http://nationsreportcard.gov/ltt_2008/ltt0002.asp?tab_id=tab1&subtab_id=Tab_1#chart

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Education Pipeline 0011 0010 1010 1101 0001 0100 1011

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2 5 http://www.higheredinfo.org/dbrowser/?year=2006&level=nation&mode=map&state=0&submeasure=119 3

0011 0010 1010 1101 0001 0100 1011 •

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2 5 http://www.ppic.org/content/pubs/rb/RB_701JBRB.pdf

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Math Courses Matter!!

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

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Grades Matter 0011 0010 1010 1101 0001 0100 1011 http://www.aft.org/pubs-reports/american_educator/spring2004/flier.html

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…and from the USA Today 0011 0010 1010 1101 0001 0100 1011 •

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2 5 http://www.usatoday.com/tech/science/mathscience/2007-07-26-take-math for-science_N.htm

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0011 0010 1010 1101 0001 0100 1011 http://www.emsc.nysed.gov/irts/statistics/hsgrads/2008/table1.html

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2 5 https://www.nystart.gov/publicweb-external/2006statewideCIR.pdf

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2 5 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 0011 0010 1010 1101 0001 0100 1011

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Other Technologies Available 0011 0010 1010 1101 0001 0100 1011

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Why Graphing Calculators?

• When teachers incorporated graphing calculators into their curriculum more frequently and with greater intensity, including during less frequent math topics, •

student achievement was higher

. and more frequent use during instruction, the

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. • Increased use of graphing calculators during instruction resulted in

higher test scores even when students did not use graphing calculators during testing

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Why Graphing Calculators?

• More Key Findings to Recent Research Studies: • Strong evidence showed that student use of graphing calculators calculators

areas

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increased performance in algebra

. • Students who received instruction using graphing

performed as well or significantly better in conceptual, problem solving and operational skill

• Students using calculators during instruction – but

during assessment counterparts

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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

mathematics than their noncalculator-using

research_graphing.html

better attitudes toward

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Products Available • Traditional Graphing Calculators: 0011 0010 1010 1101 0001 0100 1011 – 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 0011 0010 1010 1101 0001 0100 1011

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TI Calculator Uses 0011 0010 1010 1101 0001 0100 1011 • Apps – Algebra ( 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 0011 0010 1010 1101 0001 0100 1011 • 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 0011 0010 1010 1101 0001 0100 1011 • • • • • • • • 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

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More Algebra 0011 0010 1010 1101 0001 0100 1011 • • • Baseball and the Quadratic Equation Free Fall and Quadratics Parabolic Designs

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Algebra II 0011 0010 1010 1101 0001 0100 1011 • • • • Cooling Liquids Exponential and Logarithm Functions – Compound interest – Exploring the product rule for logarithms

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Transformations (using absolute value) Exponential Growth and Decay

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Pre Calculus 0011 0010 1010 1101 0001 0100 1011 • Polar Coordinates – Rose Investigation

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Thank you 0011 0010 1010 1101 0001 0100 1011 • • Presentation by Dave Usinski • Presentation is located at: • Email: [email protected]

• Cell: 716-698-4893

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