Learning & Teaching Mathematics, Dec 2018, no. Why does it Work? A Mathematical Explanation and Further Generalization of a Card Trick A card trick is mathematically explained using elementary school algebra and then generalized. Learning & Teaching Mathematics, March 2019, pp. Tiling with a Trilateral Trapezium and Penrose Tiles Defines a "Trilateral Trapezium" and a "Triangular Kite" and then explores a tiling of respective special cases of these quadrilaterals, namely, a golden trilateral trapezium and its dual, a convex Penrose tile. NEW!!! Does dynamic computer verification imply the end of proof? My Plenary Talk via Zoom, 26 October 2021, 2nd NaCoME Conference organized by the Mathematics Education Study Program of Sriwijaya University, Indonesia.Ī Diagonal Property of a Rhombus Constructed from a Rectangle in Learning & Teaching Mathematics, Dec 2018, pp. Kindly please inform me of any links or downloads that are NOT working properly. The articles and materials below may be used for non-profit educational purposes only, provided that their source/origin is properly referenced at all times. Please note that most of the articles/items below are in pdf format and require Adobe Acrobat Reader which can be downloaded for free from Adobe Acrobat Reader (If problems are experienced playing it through completely in your browser, ensure that you have 'Allowed Flash Player' in your settings and preferences). 46 min Interview by Michelle Cirillo (University of Missouri) at ICME 13 in Hamburg in July 2016 about my career in Mathematics Education. PODCAST: Listen to the Podcast of my approx. Most cited papers and books according to Google Scholar (27 June 2015):ġ) The Role and Function of Proof in Mathematics (1990) - cited by 276.Ģ) Rethinking Proof with Sketchpad (1999/2003) - cited by 221.ģ) The role and function of a hierarchical classification of quadrilaterals (1994) - cited by 116.Ĥ) To teach definitions in geometry or teach to define? (1998) - cited by 103.ĥ) An Alternative Approach to Proof in Dynamic Geometry (1998) - cited by 101.Ħ) Using dynamic geometry to expand mathematics teachers' understanding of proof (2004) - cited by 60.ħ) The Role of Proof in Investigative, Computer-based Geometry: Some Personal Reflections (1997) - cited by 57.Ĩ) The Future of Secondary School Geometry (1996) - cited by 53.ĩ) The Role and Function of Quasi-empirical Methods in Mathematics (2004) - cited by 45. NEW! Problem solving and logical thinking games for young children Contact dynamic learn co. Have a look at some of my geometry students' comments by clicking Feedbackįor published reviews of my Rethinking Proof with Sketchpad book: Rethinking Proof Reviewsġ5% off Print Books till 25 February 2022 Downloadable PDF papers/books on Geometry, Mathematics & Mathematics Education for sale Updated!!! Java Sketchpad, Cabri 3D, Cinderella & GeoGebra Sketches - interactive geometry on the web License name: Pythagoras Single User License 1863 KJUJAMĬlick Fathom Demo to download a FREE DEMO of Fathom, the premier dynamic statistics package. Use all characters and spaces as shown, including the 6-character code that appears at the end of the License Name. When you are prompted, and you've forgotten or don't have a license code, use the License Name and Authorization Code provided below to unlock your license for Sketchpad. You can then use any valid license code on 1, 2, 3, or 1,000 machines and Sketchpad will be fully functional on all those machines. SKETCHPAD IS NOW FREE, and a copy can be downloaded from FREE SKETCHPAD (for Mac) or directly as a zipped file from FREE SKETCHPAD (for Windows) (after unzipping use the. Updated: Math Ed Articles, Dynamic Geometry Sketches, Math e-Newsletter, Quote & Cartoon (at bottom)Ĭlick on any of the above pictures for more information about these books and/or to purchase. Michael de Villiers/Dynamic Mathematics Learning Downloadable Articles, Papers & Materials
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