Math

Use math in scratch programming. Simple physics could be put into animations. Cherry picking math related to speed, rotation, dilation, and reflection could show using animations. Relating axioms and postulates to animations might also be possible.

http://www.rpbourret.com/scratch/Bourret-ScratchProgramming.pdf https://wiki.scratch.mit.edu/wiki/Mathematics https://wiki.scratch.mit.edu/wiki/Trigonometry https://scratch.mit.edu/projects/55293460/ https://scratch.mit.edu/discuss/topic/4469/ Quadratic http://progopedia.com/example/quadratic-equation/175/

Hilbert could be our guide. He was into physics and the following. " In a highly original way, Hilbert extensively modified the mathematics of [|invariants]—the entities that are not altered during such geometric changes as rotation, dilation, and reflection. Hilbert proved the [|theorem] of invariants—that all invariants can be expressed in terms of a finite number. In his //Zahlbericht// (“Commentary on Numbers”), a report on algebraic [|number theory] published in 1897, he consolidated what was known in this subject and pointed the way to the developments that followed. In 1899 he published the //Grundlagen der Geometrie// (//[|The Foundations of Geometry]//, 1902), which contained his definitive set of axioms for [|Euclidean geometry] and a keen [|analysis] of their significance. This popular book, which appeared in 10 editions, marked a turning point in the axiomatic treatment of geometry."

Skip down to number 3 in this article. http://iopscience.iop.org/article/10.1088/0031-9120/50/3/310;jsessionid=71F0BA2CD3BC8EA0FFA4C733BD198A35.c5.iopscience.cld.iop.org

https://scratch.mit.edu/studios/6423/ http://scratched.gse.harvard.edu/discussions/teaching-scratch/programming-and-math http://www.computersforcreativity.com/resources/scratchmathgames http://scratchlessons.weebly.com/ask-a-simple-math-question.html