Jonathan J. Crabtree – Summary of Academic Accomplishments
Having initially studied economics at the University of Melbourne, Jonathan J. Crabtree is an autodidact, studying the history of mathematics since 1983. His first paper was on the history of Euclid’s definition of multiplication1 whilst his next paper explored the writings of Descartes and Newton2. Another paper presented in Hungary3 spanned the writings of Diophantus, Cardano, Euclid, Liu Hui and Brahmagupta.
After reviewing original writings in Latin, Greek, Arabic and Sanskrit, Crabtree has also written magazine articles on mathematics history4 and been a guest lecturer on the history of zero at Indian universities5.
- Presented for and published 2016 in the Australian Proceedings of the Mathematical Association of Victoria (MAV) Annual Conference (double-blind reviewed).
- Presented for and published 2017 in the Proceedings of the 26th Biennial Conference of the Australian Association of Mathematics Teachers.
- Presented for and published 2017 by the 14th International Conference of the Mathematics Education for the Future Project.
- Vinculum Magazine, published by the MAV (Mathematical Association of Victoria).
- Jadavpur University Kolkata 2018 and Visva-Bharati University Santiniketan 2019.
A new reason negative multiplied by negative is positive
Jonathan J Crabtree 2015 Vinculum 52 (3), 20
A new model of multiplication via Euclid
Jonathan J Crabtree 2016 Vinculum 53 (2), 16-18, 21
Squaring the circle: A practical approach (i.e. via rope & straightedge)Jonathan J Crabtree 2016 Vinculum 53 (4), 7-9
The Lost Logic of Elementary Mathematics and the Haberdasher
who Kidnapped Kaizen
Jonathan J Crabtree 2016 Mathematical Association of Victoria (MAV) Annual Conference 53, 98-106
Fun in Podo’s Paddock: New Ways of Teaching Children the Laws
of Sign for Multiplication and Division (and more!)
Jonathan J Crabtree 2017 Challenges in Mathematics Education for the Next Decade. 14th International Conference of The Mathematics Education for the Future Project - Hungary.
How mathematics teachers can explain multiplication and
division in the manner of René Descartes and Isaac Newton.
Jonathan J Crabtree 2017 Proceedings of the 26th Biennial Conference of the Australian Association of Mathematics Teachers.
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