List: MATH EXPLAINERS (Updated Nov. 2023) | Curated by Mike Beneschan

Nov 27, 2023
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MATH EXPLAINERS (Updated Nov. 2023)Every educational math explanation I've written
Integrals, double integrals, triple integrals, some applications of integrals. Mostly an explanation of why someone would use a triple integral in a real-life problem
Mike Beneschan
Why Triple Integrals Are Actually UsefulYou can feel the dread in a room when students realize double integrals and triple integrals exist. Integrals, which many students solely…
Aug 21, 2021
3
Aug 21, 2021
3
Mike Beneschan
How To Understand Linear Independence (Linear Algebra)When I first took linear algebra in college, I felt bombarded by definitions. From what I understand, many students go through the same…
Jun 30, 2020
4
Jun 30, 2020
4
Mike Beneschan
How To Understand Span (Linear Algebra)Our eyes see color using only three types of cone cells — which take in red, green, and blue light — and yet from those three types we can…
Jul 20, 2020
11
Jul 20, 2020
11
Mike Beneschan
How to Understand Basis (Linear Algebra)When teaching linear algebra, the concept of a basis is often overlooked. My tutoring students could understand linear independence and…
Nov 3, 2020
6
Nov 3, 2020
6
Mike Beneschan
How to Understand Derivatives (Calculus)My friend Dave’s car is old and busted and I hate it.
Oct 10, 2021
Oct 10, 2021
Euler's Sum of Powers Conjecture
Mike Beneschan
One of the Tiniest Proofs Ever PublishedEuler was wrong!
May 16, 2021
8
May 16, 2021
8
Mike Beneschan
The Chicken McNugget Theorem, ExplainedThe BTS Chicken McNugget Meal, Why you can’t buy 43 McNuggets at McDonald’s, and a math problem from the 1800s.
Jul 11, 2021
Jul 11, 2021
Countable infinities, uncountable infinities, Cantor's diagonal proof of uncountability
Mike Beneschan
Some Infinities Are Bigger Than OthersYou know, out of all the mind-bending things we like to say to try and get people interested in math (Look! This Mobius strip is an object…
Jul 6, 2019
6
Jul 6, 2019
6
Mike Beneschan
Euclid’s Proof of Infinitely Many PrimesHow we know there are infinitely many prime numbers, explained briefly
Jun 6, 2021
2
Jun 6, 2021
2
Mike Beneschan
An Explanation of “Sexy Primes”I Promise This is About Math
May 30, 2021
May 30, 2021
Binomial distributions
Mike Beneschan
How to Crack a Cheating Scandal with 1 Line of CodeExplaining and Simulating Binomial Distributions in R
May 9, 2021
May 9, 2021
Mike Beneschan
An Incorrect Proof of an Impossible TriangleWhy an old email I got teaches us how to think more clearly (even though it was wrong)
Jul 4, 2021
Jul 4, 2021
Mike Beneschan
Quick Proof that Every Metric Space is HausdorffThis is a super quick proof from topology.
Aug 15, 2021
3
Aug 15, 2021
3
Mike Beneschan
Breaking Down a Cool Sin(3x) IdentityProof with trig identities
Sep 19, 2021
Sep 19, 2021