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Mathematical writing with G eoGebra

Mathematical writing with G eoGebra. Anders Sanne Morten Misfeldt . A discussion on a mountain in Iceland…. How to increase the use of GeoGebra for producing mathematical text. What is the role of GeoGebra in the production of documents? Something that you write about

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Mathematical writing with G eoGebra

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  1. Mathematical writing with GeoGebra Anders Sanne Morten Misfeldt

  2. A discussion on a mountain in Iceland… • How to increase the use of GeoGebra for producing mathematical text. • What is the role of GeoGebra in the production of documents? • Something that you write about • A good machine to produce illustrations • What could it be? • Interactive illustrations • Answers to mathematical assignments delivered in GeoGebra

  3. Why consider text • GeoGebra is strong on different mathematical representations • Text is the archetypical ”discursive” – or linear – representation.

  4. Semiotic representations: Duval Mathematicalactivityconstist of transformations of semioticrepresentations Register: ”space of semioticrepresentation” (2dplot, algebra, naturallanguage) Treatment: transformations inside a register Conversion: transformations thatchange register but maintainconceptual reference

  5. Examples • The unit circle in different registers x2+y2=1 ”the unit circle” • Treatment • 3x+9=0 => x=-3 • Conversion • 2x+1 =y can be shown as

  6. Four main types of registers

  7. Why text (2) • GeoGebra is strong in its support for non discursive registers • Less strong with Discursive • Problem with discursive expansion • Proofs • Explanations • Narrations • All sorts of reasoning activities

  8. Two approaches to text in GeoGebra • Embed GeoGebra in word processing. • Google gadget and save as webpage • Include text processing and formulas in GeoGebra • The improved text box • A ”caption” or text view? • Dynamic use of txt

  9. A textviewcouldbehere

  10. Producingmathematicaldocuments • Integrated text view could make it possible to produce simple printable mathematical documents. • Using only GeoGebra for math assignments and test situations • Avoid cut and paste • Strong integration with the other views in GeoGebra

  11. Typicalassignments in K-12 ed. • With a textview GeoGebra couldproduce solutions to typical K-12 assignments • A figure • Somecalculations • Textdescribing the problem and solution

  12. Documentation of GeoGebra basedreasoning • Arguing for reasoning strategies and procedures • Describing observations • A complement to the construction protocol (there is a caption field in the new construction protocol) • Enhancing (mathematical) literacy

  13. Conclusion • Writing should of course be considered when usingGeoGebrafor teaching mathematics • This can be done by embedding GeoGebra applets in a text domain • But creating a simple text view could supplement this approach

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