1. Starting Points
    2. Ideas for Using Technology in the Mathematics Classroom
      1. By Frank Sobierajski
      2. Forty-Fifth Annual
      3. Hudson-Mohawk Valley Area Mathematics Conference
      4. Bethlehem Central High School
      5. March 13, 2004
    3. Chaos—Newton’s Square Root Algorithm
      1. Software: Excel® /AppleWorks®
      2. Adopted from: Newton’s Method for Square Root: A spreadshee
      3. Also see: Chaotic Behavior in the Classroom, Mathematics Tea
    4. Proofs in Logic
      1. Software: Geometer Sketchpad®—also Word® and AppleWorks® pro
      2. Adopted from: Technology Tips by Al Coons, Mathematics Teach
    5. Make your own Clipart!
      1. Software: Geometer Sketchpad®
    6. Locus of Points
      1. Software: Geometer Sketchpad®
      2. Adopted from: Exploring the Locus Definitions of the Conic S
    7. A Treasure Hunt using Locus Definitions
      1. Software: Geometer Sketchpad®
      2. Adopted from: Idea heard in a discussion with a colleague.
    8. Topic: Parametric Color, Loci & Random Wandering
      1. Software: Geometer Sketchpad®
      2. Adopted from: Original Idea
    9. Spreadsheet Sliders
      1. Software: Excel®, Sorry AppleWorks® doesn’t have this featur
      2. Adopted from: Spreadsheet Sliders as new graphing tools. Pr
      3. Also see: Making Sense of Slope, Mathematics Teacher Feb. 20
    10. Topic: Parametric Color, Loci & Random Wandering
      1. Software: Geometer Sketchpad®
      2. Adopted from: Original Idea
    11. Sliders in Sketchpad
      1. Software: Geometer Sketchpad®
      2. Adopted from: Visualizing Functions: Introductory Algebra Ac
    12. Topic: Parametric Color, Loci & Random Wandering Scanning fo
      1. Software: Geometer Sketchpad®
      2. Adopted from: Original Idea
    13. Fractal drawing
      1. Software: Word® /AppleWorks®
      2. Adopted from: Focus on Fractals by Dr. Evan M. Maletsky, NCT
    14. More Fractals
      1. Software: Geometer Sketchpad®
      2. Some original ideas with a little help from my friends—with
    15. The Chaos Game
      1. Software: Excel®
      2. Adopted from: Various Sources
    16. Free Math Clipart and Fonts
      1. Software: Netscape®/Internet Explorer®
      2. Website:http://www.educaide.com/download/graphics.html
    17. Digital Images—Problems Around Us
      1. Digital Camera
      2. From: Original idea!
    18. Digital Images—Making Parabolas
      1. Software: Geometer Sketchpad®/Graphic Analysis®
      2. Adopted from: Using A Digital Camera To Verify Quadratic Beh
    19. Digital Images—Permutations & Combinations
      1. Software: PowerPoint®
      2. Adopted from: Photographs and Committees: Activities That He
    20. Digital Images—Transformations
      1. Software: PowerPoint®
      2. From: Chip Pierce—used with permission.
    21. Digital Images—Video to frame a problem
      1. Software: PowerPoint®/Excel®/Video Editing Software/TI Inter
      2. Original Idea!
    22. Equation Writing
      1. Software: Word® /AppleWorks® /TI-Interactive ®
    23. Math Jeopardy & Other Games People Play
      1. Software: PowerPoint®/HyperStudio®
      2. Adopted from: Technology Tips by Mary Kathryn Geesaman, Math
    24. Dynagraphs
      1. Software: Geometer Sketchpad®
      2. Adopted from: Sample files on Sketchpad CD
    25. Functions, Tangents, Slopes & First Derivatives
      1. Software: Geometer Sketchpad®
      2. Adopted from: Geometer Sketchpad Master Class, Mills College
    26. Squaring the States…
      1. Software: Geometer Sketchpad®/ IE or Netscape
      2. Adopted from: A magazine article that I cannot find…if any
    27. The Birthday Problem
      1. Software: Excel®/AppleWorks®
      2. Adopted from:Original Idea!
      3. Also see: Exploring the Birthday Problem with Spreadsheets b

 
Starting Points
AB
Ideas for Using Technology in the
Mathematics Classroom
By Frank Sobierajski
fsobierajski@nrwcs.org
Forty-Fifth Annual
Hudson-Mohawk Valley Area Mathematics Conference
Bethlehem Central High School
March 13, 2004
Chaos—Newton’s Square Root Algorithm
Software: Excel
®
/AppleWorks
®
Adopted from:
Newton’s Method for Square Root: A spreadsheet investigation and Extension into
Chaos
by Sharon Dugdale, Mathematics Teacher, October 1998
Also see:
Chaotic Behavior in the Classroom, Mathematics Teacher, Feb. 2000
Proofs in Logic
Software: Geometer Sketchpad
®
—also Word
®
and AppleWorks
®
provided tex t boxes are used.
Adopted from:
Technology Tips by Al Coons, Mathematics Teacher Feb. 2000, p. 156
Make your own Clipart!
Software: Geometer Sketchpad®
Locus of Points
Software: Geometer Sketchpad
®
Adopted from:
Exploring the Locus Definitions of the Conic Sections by Eugene A. Olmsead,
Mathematics Teacher May 1998.
A Treasure Hunt using Locus Definitions
Software: Geometer Sketchpad®
Adopted from: Idea heard in a discussion with a colleague.
Topic: Parametric Color, Loci & Random Wandering
Software: Geometer Sketchpad®
Adopted from: Original Idea
Spreadsheet Sliders
Software: Excel
®
, Sorry AppleWorks
®
doesn’t have this feature.
Adopted from:
Spreadsheet Sliders as new graphing tools. Presented by Sergei Abramovich and Rory
Szwed, NCTM Chicago 2000
Also see:
Making Sense of Slope, Mathematics Teacher Feb. 2000, p. 114
Topic: Parametric Color, Loci & Random Wandering
Software: Geometer Sketchpad®
Adopted from: Original Idea
Sliders in Sketchpad
Software: Geometer Sketchpad®
Adopted from:
Visualizing Functions: Introduc ory Algebra Activities with The Geometer Sketchpad by
Nicholas Jackiw, NCTM Pittsburgh 1999
t
Topic: Parametric Color, Loci & Random Wandering Scanning for speed…
Software: Geometer Sketchpad®
Adopted from: Original Idea
Fractal drawing
Software: Word
®
/AppleWorks
®
Adopted from:
Focus on Fractals by Dr. Evan M. Maletsky, NCTM Boston 1995 & some original ideas.

 
More Fractals
Software: Geometer Sketchpad
®
Some original ideas with a little help from my friends—with special thank you to Alan Russell.
The Chaos Game
Software: Excel
®
Adopted from: Various Sources
Free Math Clipart and Fonts
Software: Netscape
®
/Internet Explorer
®
Website:
http://www.educaide.com/download/graphics.html
Digital Images—Problems Around Us
Digital Camera
From: Original idea!
Digital Images—Making Parabolas
Software: Geometer Sketchpad
®
/Graphic Analysis
®
Adopted from:
Using A Digital Camera To Verify Quadratic Behavior, by Harris S. Shultz, Mathematics
Teacher, April 1999
Digital Images—Permutations & Combinations
Software: PowerPoint
®
Adopted from:
Photographs and Committees: Activities Tha Help Students Discover Permutations and
Combinations
, by Jennifer Earles S ydlik,
t
z
Mathematics Teacher, February 2000
Digital Images—Transformations
Software: PowerPoint
®
From: Chip Pierce—used with permission.
Digital Images—Video to frame a problem
Software: PowerPoint
®
/Excel
®
/Video Editing Software/TI Interactive
®
/Sketchpad
®
Original Idea!
Equation Writing
Software: Word
®
/AppleWorks
®
/TI-Interactive
®
Math Jeopardy & Other Games People Play
Software: PowerPoint
®
/HyperStudio
®
Adopted from: Technology Tips by Mary Kathryn Geesaman
, Mathematics Teacher, January 2000
Thanks to who ever gave me the second.
Dynagraphs
Software: Geometer Sketchpad
®
Adopted from: Sample files on Sketchpad CD
Functions, Tangents, Slopes & First Derivatives
Software: Geometer Sketchpad
®
Adopted from: Geometer Sketchpad Master Class, Mills College, Oakland, CA, July 2002
Squaring the States…
Software: Geometer Sketchpad
®
/ IE or Netscape
Adopted from: A magazine article that I cannot find…if any one knows I would really like to know.
The Birthday Problem
Software: Excel
®
/AppleWorks
®
Adopted from:Original Idea!
Also see:
Exploring the Birthday Problem with Spreadsheets by Lawrence M. Lesser, Mathematics
Teacher May 1999

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