On Friday, February 23, 2018, Blake <blakeel...@gmail.com> wrote: > The programs / code examples you all have proposed look great. > > Perry, I think your idea to teach Bayesian statistics to 6-8th graders > sounds great! > > Just wanted to chime in on a different angle of this: the relevance of the > problem(s) that you address. > > Here is a video of one of my former high school teachers explaining how he > teaches reasoning, skepticism, and using probability in the real world. > https://www.youtube.com/watch?v=z2HWE6qQ2kI > > He gives an example of using Bayes Rule which could be a great example for > you to use, Perry. And he shows how you can intuitively, visually > understand what Bayes Rule tells us for that example, without having to go > through the calculations. > > > At the end of that video, he gives a curriculum overview for a year-long > course he has developed, called "Human Reasoning", which is about thinking > in the real world. I would love to see more people teach the way he does! > > > Curious if people have other examples of this kind of thing, or have ideas > of how to use computer simulations specifically for teaching this > real-world-focused perspective on mathematics. >
https://www.khanacademy.org/math/statistics-probability https://github.com/jupyter/jupyter/wiki/a-gallery-of-interesting-jupyter-notebooks#machine-learning-statistics-and-probability http://camdavidsonpilon.github.io/Probabilistic-Programming-and-Bayesian-Methods-for-Hackers/ > > > -- > Blake Elias > > On Fri, Feb 23, 2018 at 2:44 PM, Wes Turner <wes.tur...@gmail.com> wrote: > >> "Seeing Theory: A visual introduction to probability and statistics" >> http://students.brown.edu/seeing-theory/ >> https://github.com/seeingtheory/Seeing-Theory >> >> These are JavaScript widgets, so not Python but great visual examples >> that could be implemented with ipywidgets and some JS. >> >> explorable.es has a whole catalog of these: >> http://explorabl.es/math/ >> >> Think Stats 2nd edition is free: >> http://greenteapress.com/wp/think-stats-2e/ >> >> The source is also free: >> https://github.com/AllenDowney/ThinkStats2 >> https://github.com/AllenDowney/ThinkStats2/blob/master/code/ >> chap01ex.ipynb >> https://nbviewer.jupyter.org/github/AllenDowney/ThinkStats2/ >> tree/master/code/ >> >> >> On Friday, February 23, 2018, kirby urner <kirby.ur...@gmail.com> wrote: >> >>> I'm a big fan of Galton Boards: >>> >>> https://youtu.be/3m4bxse2JEQ (lots more on Youtube) >>> >>> Python + Dice idea = Simple Code >>> >>> http://www.pythonforbeginners.com/code-snippets-source-code/ >>> game-rolling-the-dice/ >>> >>> I'd introduce the idea that 1 die = Uniform Probability but 2+ dice = >>> Binomial distribution (because there are more ways to roll some numbers, >>> e.g. 7 than others, e.g. 12). >>> >>> A Python generator for Pascal's Triangle (= Binomial Distribution): >>> >>> def pascal(): >>> row = [1] >>> while True: >>> yield row >>> row = [i+j for i,j in zip([0]+row, row+[0])] >>> >>> >>> gen = pascal() >>> >>> for _ in range(10): >>> print(next(gen)) >>> >>> [1] >>> [1, 1] >>> [1, 2, 1] >>> [1, 3, 3, 1] >>> [1, 4, 6, 4, 1] >>> [1, 5, 10, 10, 5, 1] >>> [1, 6, 15, 20, 15, 6, 1] >>> [1, 7, 21, 35, 35, 21, 7, 1] >>> [1, 8, 28, 56, 70, 56, 28, 8, 1] >>> [1, 9, 36, 84, 126, 126, 84, 36, 9, 1] >>> >>> Kirby >>> >>> >>> On Tue, Feb 20, 2018 at 6:12 PM, Perry Grossman < >>> perrygrossman2...@gmail.com> wrote: >>> >>>> I am thinking of doing a simplified interactive presentation on >>>> probability and Bayesian statistics for my kids' elementary school. >>>> I think it would probably be best for 6-8th graders, but there might be >>>> ways to do this for younger students. >>>> I'd like to run some Python code to show probability distributions and >>>> statistics. >>>> >>>> I am thinking of simplified examples from these works: >>>> >>>> Maybe the dice problem, or the cookie problem here: >>>> Allen Downey - Bayesian statistics made simple - PyCon 2016 >>>> <https://youtu.be/TpgiFIGXcT4?t=1741> >>>> >>>> A friend also suggested doing an analysis of how many cards (e.g. >>>> pokemon) that one might need to buy to colleft the whole set. >>>> >>>> Any suggestions on how to make this manageable approachable for kids? >>>> >>>> Perry >>>> >>>> PS: right now I'm going through Allen Downey's tutorial on Bayesian >>>>> stats >>>>> using the above mentioned tools, from Pycon 2016: >>>>> https://youtu.be/TpgiFIGXcT4 >>>>> I attended this conference, but didn't manage to make this tutorial. >>>>> >>>>> [1] I've shared this before, still relevant: >>>>> https://medium.com/@kirbyurner/is-code-school-the-new-high-s >>>>> chool-30a8874170b >>>>> >>>>> Also this blog post: >>>>> http://mybizmo.blogspot.com/2018/02/magic-squares.html >>>>> -------------- next part -------------- >>>>> An HTML attachment was scrubbed... >>>>> URL: <http://mail.python.org/pipermail/edu-sig/attachments/201802 >>>>> 19/d9e2f965/attachment-0001.html> >>>>> >>>>> ------------------------------ >>>>> >>>>> Subject: Digest Footer >>>>> >>>>> _______________________________________________ >>>>> Edu-sig mailing list >>>>> Edu-sig@python.org >>>>> https://mail.python.org/mailman/listinfo/edu-sig >>>>> >>>>> >>>>> ------------------------------ >>>>> >>>>> End of Edu-sig Digest, Vol 174, Issue 1 >>>>> *************************************** >>>>> >>>> >>>> _______________________________________________ >>>> Edu-sig mailing list >>>> Edu-sig@python.org >>>> https://mail.python.org/mailman/listinfo/edu-sig >>>> >>>> >>> >> _______________________________________________ >> Edu-sig mailing list >> Edu-sig@python.org >> https://mail.python.org/mailman/listinfo/edu-sig >> >> >
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