![]() 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. ![]() Co-Editor: Gila Hanna, Canada.ĭoes 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. NEW!!! Proof and Proving in Mathematics Education: 19th ICMI Study, complete book, Springer, 2012, pdf, 7.3 MB. NEW!!! Rethinking Proof with Sketchpad, complete book, Key Curriculum Press/McGraw-Hill, 2012, pdf, 4.1 MB. NEW!!! The Value of using Signed Quantities in Geometry in Learning and Teaching Mathematics, No. NEW!!! A Forgotten Theorem for Triangle Similarity? in Learning and Teaching Mathematics, No. Co-authors, James Metz & Brad Uy, Hawaii. NEW!!! Intersecting Circles Investigation in At Right Angles, November 2022, pp. Kindly please inform me of any dynamic sketches, 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. (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. Get up to 15% or more off PRINT BOOKS at LULU Downloadable PDF papers/books on Geometry, Mathematics & Mathematics Education for sale Have a look at some of my geometry students' comments by clicking Feedbackįor published reviews of my Rethinking Proof with Sketchpad book: Rethinking Proof Reviews Updated!!! Java Sketchpad, Cabri 3D, Cinderella & GeoGebra Sketches - interactive geometry on the web ![]() Actvity Modules, Sketchpad sketches & other resources are also freely available at the preceding link.Ĭlick Fathom Demo to download a FREE DEMO of Fathom, the premier dynamic statistics package. SKETCHPAD IS NOW FREE, and a copy can be downloaded from FREE DOWNLOAD OF GEOMETER'S SKETCHPAD. 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 download or purchase. Michael de Villiers/Dynamic Mathematics Learning Everyone loves Sketchbook for its elegant interface and natural drawing experience, free of distractions so you can focus on capturing and expressing your ideas.Downloadable Articles, Papers & Materials Artists and illustrators love Sketchbook for its professional-grade feature set and highly customizable tools. ![]() Sketchbook is an award-winning sketching, painting, and drawing app for anyone who loves to draw. Description of Sketchbook (from google play)įrom quick sketches to fully finished artwork, Sketchbook goes where your creativity takes you.
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