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The Effect of Dynamic Geometry Software_Redacted A+ 81
The Effect of Dynamic Geometry Software_Redacted A+ 81

... education may have had its ebbs and flows during the second half of the 20th century (Whiteley, 1999) before this time it was considered the dominant force in mathematics education, with Euclid’s Elements forming the basis for the majority of the curriculum. It is perhaps unsurprising that this shou ...
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... 6. I love pizza. So today, I ordered a pizza from the Pizza Pi Company, but the working mathematician who calculates the maximum number of slices from pizza was on vacation. Since the Pizza Pi Company knows that I am a mathematician, they sent me the pizza without any cuts and told me to cut it mys ...
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4.4 Proving Triangles are Congruent: ASA and AAS

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Investigation 1 • Going Off on a Tangent

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Rational trigonometry

Rational trigonometry is a proposed reformulation of metrical planar and solid geometries (which includes trigonometry) by Canadian mathematician Norman J. Wildberger, currently an associate professor of mathematics at the University of New South Wales. His ideas are set out in his 2005 book Divine Proportions: Rational Trigonometry to Universal Geometry. According to New Scientist, part of his motivation for an alternative to traditional trigonometry was to avoid some problems that occur when infinite series are used in mathematics. Rational trigonometry avoids direct use of transcendental functions like sine and cosine by substituting their squared equivalents. Wildberger draws inspiration from mathematicians predating Georg Cantor's infinite set-theory, like Gauss and Euclid, who he claims were far more wary of using infinite sets than modern mathematicians. To date, rational trigonometry is largely unmentioned in mainstream mathematical literature.
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