Experimental Mathematics and the Post-secondary Visualization Toolbox:toolbox Mathematics, History, and the Visual

Naomi Simone Borwein () and Veselin Jungić ()
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Naomi Simone Borwein: Western University, Faculty of Education
Veselin Jungić: Simon Fraser University, Department of Mathematics

A chapter in Handbook of Visual, Experimental and Computational Mathematics, 2026, pp 927-973 from Springer

Abstract: Abstract Naomi Simone Borwein and Veselin Jungić develop a visualization toolboxtoolbox for secondary and first-year undergraduate experimental mathematics courses and tasks. They draw on a Two-Eyed Mathematical Seeing approach to help reconsider visualization with the Experimental Method, guided by the example of the Spiral of Theodorus and modern 2 $$\sqrt {2}$$ visualizations. In this chapter, NS Borwein and Jungić provide method, historical background, definition of experiential and experimental mathematics, as well as excerpts from interviews with luminaries in the field, and finally reproducible examples for task development.

Keywords: Experimental mathematics; Active learning; Two-Eyed Mathematical Seeing; Haida; Experiential; Secondary; Visualization; Toolbox; Exploratory; Mathematics history; Andragogy; Pedagogy (search for similar items in EconPapers)
Date: 2026
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DOI: 10.1007/978-3-032-16368-4_14

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