LearningIsntLinear

A neat connection with higher mathematics in geometry and topology you didn't know with the Pythagorean theorem. One of its proofs has a connection with the square peg problem as presented by Terence Tao. The "upcoming" book on geometry will still take awhile. But with your support the time line can be reduced. ---------------------------------------------------------- Check out my new book -- Learning Isn't Linear: The Essential Problem, Solution, and Project Book for Students, Teachers, and Parents available on amazon.com. Softcover - https://www.amazon.com/Learning-Isnt-... Softcover (color ed.) - https://www.amazon.com/Learning-Isnt-... eBook - https://www.amazon.com/Learning-Isnt-... (The book contains the "rolling rectangle" and the "caterpillar" Desmos programs.) Resources [1] • Terence Tao: An integration approach ... [2] https://www.ams.org/notices/201404/rn... [3] https://arxiv.org/abs/1611.07441 [4] https://arxiv.org/pdf/2103.13848 Timestamps 0:00 - Intro 1:35 - Alternate Proof 2:48 - Is It Really a Square? 3:56 - Square Peg Problem 4:57 - How-to 5:51 - Exotic Curves 7:10 - Impossible Equations 9:14 - Little Theorem 9:47 - Outro --------------------------------------------------------- "Prioritize long-term learning over short-term test-taking." ----------------------------- #manim_community ----------------------------- #ai #education #mathematics #geometry #desmos #books #teacher #code #grid #python

Desmos 3D debut. One of the first videos displaying the features of Desmos 3D through engineering the solution to 2008 Putnam problem B3. What is the largest circle that can be placed inside a 1x1x1 cube? ---------------------------------------------------------- Check out my new book -- Learning Isn't Linear: The Essential Problem, Solution, and Project Book for Students, Teachers, and Parents available on amazon.com. Softcover - https://www.amazon.com/Learning-Isnt-Linear-Essential-Solution/dp/B0CCXLCHDX/ref=sr_1_3?crid=HU1WK4BE5OKE&keywords=learning+isn%27t+linear&qid=1691766110&sprefix=%2Caps%2C69&sr=8-3 Softcover (color ed.) - https://www.amazon.com/Learning-Isnt-Linear-Color-Essential/dp/B0CDNSFLDS/ref=sr_1_1?crid=2VEFJXF7B4NF5&keywords=learning+isn%27t+linear&qid=1691766691&sprefix=%2Caps%2C81&sr=8-1 eBook - https://www.amazon.com/Learning-Isnt-Linear-Essential-Solution-ebook/dp/B0CCXN34TD?ref_=ast_author_mpb (The book contains the "rolling rectangle" and the "caterpillar" Desmos programs.) --------------------------------------------------------- "Prioritize long-term learning over short-term test-taking." 0:00 Intro 1:08 Square 1:42 Rectangle 5:06 Rhombus 8:16 Hexagon 12:16 Flux 12:57 Party 13:36 Outro ----------------------------- #manim_community 2008 Putnam Exam: https://kskedlaya.org/putnam-archive/ ----------------------------- #education #mathematics #calculus #geogebra #geometry #desmos #books #teacher

This is a full hands-on tutorial of how I engineered the cone-cube-sphere design on the cover of my book in GeoGebra 3D. ---------------------------------------------------------- Check out my new book -- Learning Isn't Linear: The Essential Problem, Solution, and Project Book for Students, Teachers, and Parents available on amazon.com. Softcover - https://www.amazon.com/Learning-Isnt-Linear-Essential-Solution/dp/B0CCXLCHDX/ref=sr_1_3?crid=HU1WK4BE5OKE&keywords=learning+isn%27t+linear&qid=1691766110&sprefix=%2Caps%2C69&sr=8-3 Softcover (color ed.) - https://www.amazon.com/Learning-Isnt-Linear-Color-Essential/dp/B0CDNSFLDS/ref=sr_1_1?crid=2VEFJXF7B4NF5&keywords=learning+isn%27t+linear&qid=1691766691&sprefix=%2Caps%2C81&sr=8-1 eBook - https://www.amazon.com/Learning-Isnt-Linear-Essential-Solution-ebook/dp/B0CCXN34TD?ref_=ast_author_mpb (The book contains the "rolling rectangle" and the "caterpillar" Desmos programs.) --------------------------------------------------------- "Prioritize long-term learning over short-term test-taking." 0:00 Intro 1:37 How-to Cone 3:00 How-to Cube 3:34 Desmos and a Mistake 4:49 Resolution! 5:48 Construct Inscribed Sphere 11:47 Tangent Vector to Path 15:24 Ellipsoid 16:10 Moving Points 16:46 Tangent Plane 18:58 Ending #education #mathematics #calculus #geogebra #geometry #desmos #books #teacher

This animation is made in GeoGebra 3D. Do you know where this shape comes from? It is the solution to a hard problem on a notoriously hard exam. ---------------------------------------------------------- Check out my new book -- Learning Isn't Linear: The Essential Problem, Solution, and Project Book for Students, Teachers, and Parents available on amazon.com. Go to the "About" section on my channel to click the link. --------------------------------------------------------- "Prioritize long-term learning over short-term test-taking." Music: epidemicsound #education #mathematics #calculus #geogebra #geometry #desmos

heck out my new book -- Learning Isn't Linear: The Essential Problem, Solution, and Project Book for Students, Teachers, and Parents available on amazon.com. Go to the "About" section on my channel to click the link. ----------------------------------------------------------------------------------------------- This is a solution to a Calculus III problem in James Stewarts' calculus textbook, made in GeoGebra 3D. ----------------------------------------------------------------------------------------------- "Prioritize long-term learning over short-term test-taking." Music: epidemicsound #geogebra #education #mathematics #geometry #desmos

This animation is made in GeoGebra 3D. Part of the shape comes from the solution to a Putnam problem. Learning is not a straightforward process: The solution to a problem has curvy trajectories, twists and turns. ---------------------------------------------------------- Check out my new book -- Learning Isn't Linear: The Essential Problem, Solution, and Project Book for Students, Teachers, and Parents available on amazon.com. Go to the "About" section on my channel to click the link. --------------------------------------------------------- "Prioritize long-term learning over short-term test-taking." Music: epidemicsound #education #mathematics #calculus #geogebra #geometry #desmos

This animation was made in Desmos. Learning is not a straightforward process: The solution to a problem has curvy trajectories, twists and turns. The book contains the "rolling rectangle" and the "caterpillar" Desmos programs. ---------------------------------------------------------- Check out my new book -- Learning Isn't Linear: The Essential Problem, Solution, and Project Book for Students, Teachers, and Parents available on amazon.com. Go to the "About" section on my channel to click the link. --------------------------------------------------------- "Prioritize long-term learning over short-term test-taking." Thanks to Canva.com for using many of the images contained within this animated video. Music: epidemicsound #education #mathematics #calculus #geogebra #geometry #desmos #books #teacher