On Monday, September 4, 2017, kirby urner <kirby.ur...@gmail.com> wrote:
> PS: > > my recent exercises in teaching math with Python, ala Peter Farrell, is > sparking some heated debate on math-teach. > > http://mathforum.org/kb/thread.jspa?threadID=2876811 (especially in > recent days, early September 2017) > > Bob Hansen is trashing this writing as some of the worst pedagogy he's > ever seen. > > I'm trying to incorporate some of his feedback in my latest revisions. > Maybe a bit OT: I've wondered whether we could/should instead start mathematics education with bits as entropy (information theory first)?: - base 2: 00, 01, 10, 11 (on our hands (2**?)) - counting - ASCII (0-127) - how do we know the number represents an integer or a character? ... Encoding, Types - The number zero is actually # (code point): ___ - Unicode - class SpecialString(str) - Binary and then floating point arithmetic - unary, binary operators - import operators: sorted(dir(operators)) - left and right shift - multiplication as repeated addition - long division - floating point (error, BigFloat) - symbolic mathematics - MathJax, LaTeX (how to even type this?) - CAS: SymPy, latex2sympy - Entropy - Independence of observations - Maximum Information ... class Shape class Quadrilateral class Rectangle class Square class Triangle class RightTriangle def perimiter def area def vertexes def scale def rotate class PlatonicSolid ... Are there computer science & mathematics curricula like this (that start with entropy)? > Our debates are reminiscent of some we've had here on this list in years > gone by. > > I've also been chronicling my progress in this related thread: > > http://mathforum.org/kb/thread.jspa?threadID=2877392 > > Kirby > > >
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