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Apropos of nothing, high-quality free math Open Educational Resources (OER) are somehow both well-established and underrated. Don't make your students pay for what they can get for free. Off the top of my head...
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.@AIMathematics curates a gallery of resources here: pretextbook.org/gallery.html Open submissions of further works are here: pretextbook.org/catalog.html
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These are all written in the open source language PreTeXt, which exports PDF, HTML, and more: pretextbook.org and #PreTeXtGang
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Long before I knew of that, I was a graduate student whose undergrad Cal students frequently cited Paul's math notes as a simple, direct, and useful guide to calculus. tutorial.math.lamar.edu/
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For a more puzzly guide to mathematics, the Journal of Inquiry Based Learning has several well-scaffolded notes for guiding students along their mathematical journeys. jiblm.org
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I haven't worked with them directly, but @OpenStax is a well-known curator of textbooks in many areas.
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@OpenStax Likewise @LibreTexts.
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As for homework, personally I prefer to utilize the LMS that your students likely have to pay for anyway. That's why I created @CheckItProblems to author high quality randomized math problems that hook into that existing workflow.
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While that project's in its infancy, there's always @WeBWorK2, an MAA supported project that's been around for many many years. You can host a server yourself or pay for something like @EdfinityUS to provide it as a service.
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@WeBWorK2 @EdfinityUS Anyone that has public support for their work should make it OER. That's why we made the Team Based Inquiry Learning resource library open without any required registration, paywall, etc: sites.google.com/southalabama.edu/tbil/tbil-resource-library
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Bottom line: there's plenty of support for OER out there. I look forward to collaborating with existing organizations further to help eliminate the inequities that block folks from success in mathematics.
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Please add the obvious omissions to this thread, I'm only one person lol
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Oh myopenmath.com is another online homework system.
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For visualizations, CalcPlot3d c3d.libretexts.org works pretty well!
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I suppose it's worth noting that, depending on your definition, not all of these are OER. I hope to see a future where folks use licenses comparable to MIT or Creative Commons as appropriate.
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For mathematical computing, check out @sagemath — try it online at sagecell.sagemath.org (I send my students to it for all computational needs for my 100/200 courses).
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Tired of pricey math computation licenses and playing tech support for students? Full turnkey @sagemath environments are available in the cloud at @cocalc_com, and they also offer it as a free local Docker instance.
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Linearizing everything I can find in this tree... @KahnNahpPahn/1460087776150495233?s=20
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Oh dang yes, this and anything else @kisonecat touches. @niveknosdunk/1460260816557535237?s=20
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See above and below this tweet for lots of excellent FOSS suggestions for the classroom. I'd reframe this slightly: textbooks & software are both insufficient. What we need more of are completely packaged courses, from classroom activities to assessments. @virgil_pierce/1460266127326695427?s=20
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So I finally have the excuse to segue into a plug for sites.google.com/southalabama.edu/tbil/tbil-resource-library which will provide full course packages for Cal 1-2 and LA, with beta resources available now. @siwelwerd @CParrishUSA @JulieEstis @bestlab supported by @NSF
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@siwelwerd @CParrishUSA @JulieEstis @bestlab @NSF These in turn are built upon several technologies and OER texts already cited above like @MattBoelkins' ActiveCalculus.org, @davidaustinm's LA text, #PreTeXtGang, @CheckItProblems...
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For students getting into advanced mathematics, mathdb.mathhub.info is a great database of databases of mathematical objects, including oeis.org and topology.pi-base.org