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I posted on Mastodon today about how helpful tools like this are for building mathematical intuition. Animations are no substitute, but they can also do what le

I posted on Mastodon today about how helpful tools like this are for building mathematical intuition. Animations are no substitute, but they can also do what lecture never could. Mastodon post: https://mastodon.social/@sonicrocketman/113884920858897541 https://mastodon.social/@sonicrocketman/113884920858897541

WillAdams 2y ago
A wonderful example of this is: The Continuity of Splines https://www.youtube.com/watch?v=jvPPXbo87ds https://www.youtube.com/watch?v=jvPPXbo87ds and The Beauty of Bézier Curves https://www.youtube.com/watch?v=aVwxzDHniEw https://www.youtube.com/watch?v=aVwxzDHniEw by Freya Holmér https://www.youtube.com/@acegikmo https://www.youtube.com/@acegikmo While not animated, I find: _Euclid's Elements_ (Joyce's Java Version) very helpful https://mathcs.clarku.edu/~djoyce/java/elements/elements.html https://mathcs.clarku.edu/~djoyce/java/elements/elements.htm... Since my current project has pretty much devolved to putting a UI on various trigonometric functions and allowing the user to program them, I'd be very glad of other resources in this space (currently working through Hilbert's _Geometry and the Imagination_ and the book which matches https://projectivegeometricalgebra.org/ https://projectivegeometricalgebra.org/ and just finished the _Make:Geometry/Trigonometry/Calculus_ series, and have had recommended Curves and Surfaces for CAGD: A Practical Guide by Gerald Farin)
- PhunkyPhil 2y ago
  Freya Holmér is great. To add on: Grant Sanderson's 3Blue1Brown youtube channel might be the best conceptual math presentation in history, the animations are incredible.
efortis 2y ago
How can we animate in Desmos? I'm trying to animate t in a parametric curve (Lissajous) (sin(2*t*PI), sin(t*PI)) Example Lissajous animation https://ericfortis.github.io/lissajous/ https://ericfortis.github.io/lissajous/
PebblesRox 2y ago
Desmos also produces curriculum for K-12 (Desmos Classroom) that takes advantage of the computer’s ability to give real-time feedback for student answers beyond just giving them a binary correct/incorrect. It shows them what their wrong answers really would mean in the little animated scenario. Good stuff! https://danmeyer.substack.com/p/the-only-question-you-need-to-ask?utm_campaign=posts-open-in-app&triedRedirect=true https://danmeyer.substack.com/p/the-only-question-you-need-t...

WillAdams 2y ago

A wonderful example of this is: The Continuity of Splines https://www.youtube.com/watch?v=jvPPXbo87ds https://www.youtube.com/watch?v=jvPPXbo87ds and The Beauty of Bézier Curves https://www.youtube.com/watch?v=aVwxzDHniEw https://www.youtube.com/watch?v=aVwxzDHniEw by Freya Holmér https://www.youtube.com/@acegikmo https://www.youtube.com/@acegikmo While not animated, I find: _Euclid's Elements_ (Joyce's Java Version) very helpful https://mathcs.clarku.edu/~djoyce/java/elements/elements.html https://mathcs.clarku.edu/~djoyce/java/elements/elements.htm... Since my current project has pretty much devolved to putting a UI on various trigonometric functions and allowing the user to program them, I'd be very glad of other resources in this space (currently working through Hilbert's _Geometry and the Imagination_ and the book which matches https://projectivegeometricalgebra.org/ https://projectivegeometricalgebra.org/ and just finished the _Make:Geometry/Trigonometry/Calculus_ series, and have had recommended Curves and Surfaces for CAGD: A Practical Guide by Gerald Farin)

PhunkyPhil 2y ago
Freya Holmér is great. To add on: Grant Sanderson's 3Blue1Brown youtube channel might be the best conceptual math presentation in history, the animations are incredible.

efortis 2y ago

How can we animate in Desmos? I'm trying to animate t in a parametric curve (Lissajous) (sin(2*t*PI), sin(t*PI)) Example Lissajous animation https://ericfortis.github.io/lissajous/ https://ericfortis.github.io/lissajous/

PebblesRox 2y ago

Desmos also produces curriculum for K-12 (Desmos Classroom) that takes advantage of the computer’s ability to give real-time feedback for student answers beyond just giving them a binary correct/incorrect. It shows them what their wrong answers really would mean in the little animated scenario. Good stuff! https://danmeyer.substack.com/p/the-only-question-you-need-to-ask?utm_campaign=posts-open-in-app&triedRedirect=true https://danmeyer.substack.com/p/the-only-question-you-need-t...