79: The Psychology of Math & Sudoku

Episode notes

Why is math both so easy and so hard for our brains, and how can the psychology of horses, babies, and mathematicians help answer that? And what wild journey did Sudoku take to become the popular puzzle that Ella adores?

Things we Talk About:
The Video of a Child Learning to Count
The Melencolia Painting

Timestamps:
(00:00:00) Intro
(00:04:59) The Psychology of Math
(01:00:35) Sudoku
(01:44:59) Outro

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We also learn about: the Wonderful student, it’s not you – it’s math, “I did biology for a reason”, children can want a lot of complex things, it’s harder in the UK cause its Maths plural, Caroline & Ella’s math journeys, charlie solves the Riemann hypothesis, the horse the myth the legend – clever hans, clever hans was drafted into the military AS A MATHEMATICIAN, real horse math! so many animals seem to have Number Sense, counting is hard for kids, multiplication isn’t counting – it’s memorization and other strategies, Caroline doesn’t have a great Mental Blackboard, kick flipping a chair in our minds to brag to Caroline, overlapping waves, hot or not for equations, hahaha a taylor expansion?? in Lp?? ridiculous! there is no one math organ in the brain, don’t give up on math, “I don’t treat math as a monolith (I think statistics is the worst math)”, that surprises me because sudoko’s amazing and you’re wrong, the ancient mystical turtle’s magic square, a mathematical warding spell, “once something is proved true, it is eternally true”, HOW DID ELLA NOT REALIZE THIS WAS A MATH TOPIC, magic squares are unsolved, math divination, wow this is a math’s topic huh, maths in art, Melancholia, the magic square on La Sagrada Familia, wait Magic Squares AREN’T the precursor to sudoku?? I don’t know this child, if not sudoku why sudoku shaped? the Latin square originated in Korea before Euler, my parents are older than sudoku, it was originally called Number Place, even though we call it Sudoku – in Japan it’s often called Number Place for trademark reasons, the 2004 sudoku boom, sudoku is an infectious meme, this topic took so long (because Ella took sudoku breaks), figuring out the question of unique puzzles, so many ways to think about a square, advanced sudoku techniques, x-wing and swordfish, sudoku championships, of course Ella found speed running in this topic, Sodoku doesn’t seem to cure cognitive decline – but it’s also just fun to do! a beautiful sudoku poem, it’s how we learn and it’s calming – a little win, “I feel like I need to lie down”, let us know if you know the difference between 3 apples and 4 apples.

Sources:
Perfect Pitch Study
Feigenson et al. Core System of Number
The Clever Hans Phenomenon Revisited
NYTimes Berlin’s Wonderful Horse
Actual Horse Number Sense Study
Number Sense in Animals
Rat Brain Number Sense Study
NPR Why Big Numbers Break our Brains
Erikson Institute Video of Child Counting
The Development of Mathematical Cognition
Math Expert Brain Activity Study
The Beauty of Math Study
University of MAryland on Math Brain Activity
Keith Devlin Stanford Talk
Katie Steckles: What Do Mathematicians Do All Day?
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Wikipedia: Magic Square
Royal Institution: Magic Square
University of Cambridge: Magic Square
Magic Squares in Islamic Mathematics
Wiki: Sudoku
The Guardian: History of Sudoku
The Science of Sudoku by BY JEAN-PAUL DELAHAYE
Paper: There Is No 16-Clue Sudoku
Advanced Sudoku Techniques:
Wiki: World Sudoku Championships
Sudoku.com: The Fastest Sudoku Player
Sudoku.com: 4 Reasons that Sudoku is the Perfect Puzzle Game
Working Memory
BBC: Puzzle Slolving and Cognitive Decline
Sudoku 15 year study
Global Council on Brain Health Report
Sudoku Mental Fortitude