Graphing Calculators, Technology, and Teaching Mathematics By: Dave Usinski usinski@ecc.edu.

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Graphing Calculators, Technology,

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

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Common CoreComing 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/nonProductSingle/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.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)– CBR – Match the graph– Geometry

• Solving Equations – y=x2 + 4x – 12 and y=8x – 15– Solver– Graphing the intersection

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TI Calculator Uses

• Factoring – 3x2 + 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 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

• 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.edu

• Cell: 716-698-4893