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Development and evaluation of GeoGebra -supported lessons as an eye-opener for innovative teaching

Development and evaluation of GeoGebra -supported lessons as an eye-opener for innovative teaching. Andr é Heck. Use in mathematics courses at the Faculty of Science. Current situation Non-existance of dynamic mathematics software in university teaching

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Development and evaluation of GeoGebra -supported lessons as an eye-opener for innovative teaching

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  1. Development and evaluation of GeoGebra-supported lessons as an eye-opener for innovative teaching André Heck

  2. Use in mathematics courses at the Faculty of Science Current situation • Non-existance of dynamic mathematics software in university teaching • No (classical) geometry course in the mathematics bachelor Near future (academic year 2009-2010) • Educational stream in bachelor that includes a course in • Classical geometry • Didactics/Pedagogy of secondary mathematics education

  3. Use in the International Master of Mathematics and Science Education Small research project of master students (“winter project”, part of a “multimedia in education”) • Develop one or two lessons about a mathematical subject using ICT • Teach the lessons at a school • Do classroom research Two examples: • Budi Mulyono & Serbay Zambak (2009). Introduction of the cosine law of a triangle • Georgia Papageorgiou & RafiqMehdiyev (2008). A New approach to introduce the sine and cosine function

  4. Book approach: • Start from the unit circle and a rotating ray • Focus on the angles (in a triangle, as turning angle) • Use radian to connect with a real function Our approach: • Start from the unit square and move to regular n-gons • Focus on the path-length • Focus on functions of a real number. When n®¥ connect with functions of an angle

  5. Professonal development Publications in journals for teachers • André Heck (2008). Wiskundige CSI (in Dutch). Euclides, 83 (7) 353-356. (pdf) • André Heck. Mathematical Brooding over an Egg. Loci. August 2008, article id 2842. (html) Workshops at teachers’ meeting • National Mathematics Days (Feb, 2008). Developing mathematics from pictures

  6. Sample files necklace (catenary, paper size = 21x30 cm) shape of a hen’s egg (geometrically), egg shape (algebraically) grutto egg(algebraically with sliders: parabola + ellipse) crime scene investigation (perspective tiling), student work perspectivity in paintings facial beauty analysis parabolic kissing Merlionfountainin Singapore (source: A. Oldknow, height of statue in picture = 8,6m)

  7. GeoGebra in Secondary Education • All mathematics book series have adopted GeoGebra in ICT support not only in geometry, but also in calculus • Teachers decide about the use in the classroom • Computer assessment possible in the Digital Mathematics Environment developed at Freudenthal Institute

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