SolidAngl.eshttps://www.solidangl.esThoughts on mathematics and education — their intersection, their differences, and their union.Mon, 01 Jul 2024 12:01:07 GMTWebflowVarieties: The Spice of Lifehttps://www.solidangl.es/post/varieties-the-spice-of-lifehttps://www.solidangl.es/post/varieties-the-spice-of-lifeCan high school students really learn algebraic geometry? And what could it teach us about mathematics education?Tue, 03 Aug 2021 00:00:00 GMTOrbit-Stabilizer Theoremhttps://www.solidangl.es/post/orbit-stabilizer-theoremhttps://www.solidangl.es/post/orbit-stabilizer-theoremMy song on the dance game Pump it Up XX is named after a famous theorem from group theory. Here's an explanation of what it's all about.Tue, 15 Oct 2019 00:00:00 GMTWhen Does Nothing Mean Something?https://www.solidangl.es/post/when-does-nothing-mean-somethinghttps://www.solidangl.es/post/when-does-nothing-mean-somethingThose deliberately ambiguous order-of-operations problems that plague social media may actually be evidence of a mathematical "language shift."Thu, 01 Aug 2019 00:00:00 GMTWho Says You Can't Do That? — Trig Identitieshttps://www.solidangl.es/post/who-says-you-cant-do-that-trig-identitieshttps://www.solidangl.es/post/who-says-you-cant-do-that-trig-identitiesEveryone knows you can't do the same thing to both sides of a trig identity to prove it... right?Sat, 12 Jan 2019 00:00:00 GMTWhen Math is in Jeopardy!https://www.solidangl.es/post/when-math-is-in-jeopardyhttps://www.solidangl.es/post/when-math-is-in-jeopardyWhat kind of message does it send that game shows so often get mathematics wrong?Wed, 02 Jan 2019 00:00:00 GMTDiscreet Discrete Calculushttps://www.solidangl.es/post/discreet-discrete-calculushttps://www.solidangl.es/post/discreet-discrete-calculusA presentation I gave at the Georgia Mathematics Conference, about slyly introducing precalculus students to a discrete version of calculus.Sat, 21 Oct 2017 00:00:00 GMTI'm Done with Two Column Proofs.https://www.solidangl.es/post/im-done-with-two-column-proofshttps://www.solidangl.es/post/im-done-with-two-column-proofsStatement: They're terrible.
Reason: They don't help students reason — if anything, they just get in the way.Fri, 15 Sep 2017 00:00:00 GMTA Real-Life Paradox: The Banach-Tarski Burritohttps://www.solidangl.es/post/a-real-life-paradox-the-banach-tarski-burritohttps://www.solidangl.es/post/a-real-life-paradox-the-banach-tarski-burritoWho knew the Axiom of Choice could help me decide whether to get guacamole for an extra $1.95?Fri, 14 Aug 2015 00:00:00 GMTA Radical New Look for Logarithmshttps://www.solidangl.es/post/a-radical-new-look-for-logarithmshttps://www.solidangl.es/post/a-radical-new-look-for-logarithmsWhat if we could invent a new notation for logarithms that was consistent with how we write exponents and radicals?Fri, 24 Apr 2015 00:00:00 GMTInfinity is my favorite number.https://www.solidangl.es/post/infinity-is-my-favorite-numberhttps://www.solidangl.es/post/infinity-is-my-favorite-numberYes, you read that right.Mon, 15 Sep 2014 00:00:00 GMTThrow Outdated Notation to the Floorhttps://www.solidangl.es/post/throw-outdated-notation-to-the-floorhttps://www.solidangl.es/post/throw-outdated-notation-to-the-floorThere's a much better and more intuitive notation for rounding functions. So why don't more textbooks use it?Mon, 08 Sep 2014 00:00:00 GMTPoorly Executed Mnemonics Definitely Addle Studentshttps://www.solidangl.es/post/poorly-executed-mnemonics-definitely-addle-studentshttps://www.solidangl.es/post/poorly-executed-mnemonics-definitely-addle-studentsDear Aunt Sally, you are NOT excused.Thu, 31 Jul 2014 00:00:00 GMTThe Implications of Being Implicithttps://www.solidangl.es/post/the-implications-of-being-implicithttps://www.solidangl.es/post/the-implications-of-being-implicitTurns out that whether or not you write a symbol for multiplication can actually make a big difference.Thu, 17 Jul 2014 00:00:00 GMT99% of People Get This Wrong!https://www.solidangl.es/post/99-of-people-get-this-wronghttps://www.solidangl.es/post/99-of-people-get-this-wrongDoes anyone know why social media is obsessed with the order of operations?Sat, 05 Jul 2014 00:00:00 GMT