Graphing Calculators, Technology, and Teaching Mathematics By: Dave Usinski [email protected].
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Transcript of Graphing Calculators, Technology, and Teaching Mathematics By: Dave Usinski [email protected].
![Page 1: Graphing Calculators, Technology, and Teaching Mathematics By: Dave Usinski usinski@ecc.edu.](https://reader036.fdocuments.us/reader036/viewer/2022062516/56649e365503460f94b24f0e/html5/thumbnails/1.jpg)
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Graphing Calculators, Technology,
andTeaching Mathematics
By: Dave Usinski
![Page 2: Graphing Calculators, Technology, and Teaching Mathematics By: Dave Usinski usinski@ecc.edu.](https://reader036.fdocuments.us/reader036/viewer/2022062516/56649e365503460f94b24f0e/html5/thumbnails/2.jpg)
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Overview
• Education
• Research
• Products
• Internet Resources
• Specific Examples
![Page 3: Graphing Calculators, Technology, and Teaching Mathematics By: Dave Usinski usinski@ecc.edu.](https://reader036.fdocuments.us/reader036/viewer/2022062516/56649e365503460f94b24f0e/html5/thumbnails/3.jpg)
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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: [email protected]
• Cell: 716-698-4893