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Desmos Animated Graphing Calculator (desmos.com)
167 points by sonicrocketman 21 hours ago | hide | past | favorite | 24 comments





I used Desmos quite a bit as an instructional tool for high school math. They are funded through relationships with several companies, but most notably the standardized testing industry, which uses it with their online tests.

Over ten years before Desmos launched, there began an open source project called Geogebra (https://www.geogebra.org/). Geogebra remains open source to this day and offers a similar suite of applications and calculators, both online and in app form.

Over the years I have also used Geogebra as an instructional tool in both my math and physics classrooms, producing dozens of apps, simulators, and gizmos: https://www.geogebra.org/u/mrdathhs

Geogebra excels at creating mathematical simulations. One of my favorites was this real-time satellite orbit calculator: https://www.geogebra.org/m/UEynuRnG


I, too, use both Desmos and Geogebra in my classroom. One of my favourite things about Geogebra is the ability to export to tikz. It can save a lot of time when making complex geometry problems while keeping things nice and neat in your latex file. I also like using the Geogebra 3D AR app to get kids to see the different ways planes intersect, and what a parameterized solution “looks like” in a 3x3 system. It makes for a lot of “aha” moments.

On the other hand Desmos is quick, easy to use, and looks nice. The test-mode app works well on phones and the College Board will be using it for their AP exams this year, so they must be doing something right. Their new 3D apps look promising but I haven’t played with them much, yet.

Both tools have their place, but my heart is 100% with Geogebra.


I really wish I could get a dedicated handheld graphing calculator that hasn't had most of the functionality removed due to standardized testing. We live in an age of miracles but having a decent solver on a dedicated device is apparently commercially impossible because it couldn't be sold to students.

I'm just a dude in my shop that occasionally would like to integrate a thing or two without getting coolant on my phone.


There is DM42 hardware[1] and the DB48X/C47 firmwares for it. I feel that they are very much pushing the boundary on what makes sense on a formfactor like that.

For something more powerful, you'd probably want something more in the "cyberdeck" direction, with some 3d printing and cheap ARM linux boards it's relatively easy to build portable distraction-free compute device.

I adore this Micro Journal device[2]. Although it's intended for writing, it's not too difficult to imagine it running some suitable calculator software. The keyboard could be easily adapted to HP Voyager (15c etc) style layout.

[1] https://www.swissmicros.com/product/model-dm42n

[2] https://liliputing.com/micro-journal-rev-2-revamp-is-a-compa...


HP Prime G2 can certainly graph things, evaluate integrals, solve systems of equations etc not sure how hard you’re looking because all the manufacturers have models like that. They have an exam mode which nerfs the calculator for tests.

TI has CAS enabled variants of their calculators.

Have you looked at some of the alternative firmwares for older Numworks models?

High school students taking the digital SAT get near-full access to Desmos throughout the math portion of the test (it’s a modified version, but you get access to practically everything). It’s very powerful, and if you can use it effectively, you can brute force hard questions in seconds. Graphing calculators have been available during the SAT in the past, but Desmos is something else… I wonder how it effects score distributions/question difficulty.

and on the topic of calculators in high school maths, the NumWorks calculator is so far ahead of the TI-84 despite being allowed on the same tests. It honestly feels like an advantage over my peers… it can literally do more, and faster. It was a big shock when I realized handheld calculators don’t have to suck. Highly recommend.

On the TI-84, there was a lot of great third-party software you could load onto the calculator. When I was in school, I had a fair few useful and not-so-useful things loaded onto my TI-84, including a copy of Symbolic, which gave the TI-84 some limited symbolic calculus functionality. I don't remember much else of what I had. Rather than use the calculator to help with repetitive math, though, what I really wound up doing most of the time is messing around in TI Basic instead of doing my work.

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


A wonderful example of this is:

The Continuity of Splines https://www.youtube.com/watch?v=jvPPXbo87ds

and

The Beauty of Bézier Curves https://www.youtube.com/watch?v=aVwxzDHniEw

by Freya Holmér 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.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/ and just finished the _Make:Geometry/Trigonometry/Calculus_ series, and have had recommended Curves and Surfaces for CAGD: A Practical Guide by Gerald Farin)


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.


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/


For a similar project in a similar space (but with both a free android emulator, and the option for a dedicated hardware device), see [0]. I actually use it as my preferred calculator on my phone.

All the best,

[0] https://www.numworks.com/


Some crazy hacker has even used the calculator UI to implement a Sudoku game: https://www.desmos.com/calculator/vg3vye1rvm

Awesome. I love desmos. I just used it yesterday for a Wave mathematics class I taught for a homeschool group. I also wrote a math graphing program that helps make math beautiful called [Truthy Graph](https://truthygraph.github.io/). It came from a thought: most graphing programs only graph were both sides of the equation are exactly equal, but what would it look like to see also where they are nearly equal (in other words, the error gradient)?


Thanks! Macroexpanded:

Desmos 3D graphing calculator - https://news.ycombinator.com/item?id=37859085 - Oct 2023 (83 comments)

How Desmos uses Pratt Parsers (2018) - https://news.ycombinator.com/item?id=36245786 - June 2023 (19 comments)

More Intuitive Calculator Arithmetic (2018) - https://news.ycombinator.com/item?id=21330341 - Oct 2019 (21 comments)

Visual Demonstration of Approximating Arbitrary Functions with Sigmoids - https://news.ycombinator.com/item?id=19711416 - April 2019 (1 comment)

How Desmos uses Pratt Parsers - https://news.ycombinator.com/item?id=18903550 - Jan 2019 (6 comments)

Reign of the $100 graphing calculator is ending - https://news.ycombinator.com/item?id=14298375 - May 2017 (72 comments)

Desmos Graphing Calculator – HTML5 with LaTeX editor - https://news.ycombinator.com/item?id=11369540 - March 2016 (29 comments)


We are in kind of similar category but broader data literacy space and making data analysis more accessible and interactive. give it a try at https://tuvalabs.com

you can plot functions on top of your visualizations, or take samples etc.


I'm learning about digital signal processing and I use Desmos all the time as a scratchpad to plot the response of functions.

Desmos completely founded my understanding of how many things in digital signal processing work. For example convolution or time delays


I'm not much of a math aficionado, but I tip my hat to the creator of Desmos. Has been around and free for quite awhile now.



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