Latest conference paper & slideshow
www.bit.ly/LostLogicOfMath (PDF)
www.bit.ly/MathSlideshow (Powerpoint)
ABOUT In 1968 at age 7 in Grade 2, Jonathan J. Crabtree noticed Euclid's definition of multiplication made no sense. Two added to itself three times is 8, not 6, as people have said for centuries. (HINT 2 added to itself once is 4.)

Jonathan went on to explore hundreds of original source mathematics books & manuscripts spanning 16 languages. Euclid's definition of multiplication had been incorrectly translated into English in 1570 and was NEVER corrected!

Jonathan's recent published paper and conference presentation titled, The Lost Logic of Elementary Mathematics reveals when why and how western mathematics education came to be filled with mistruths, contradictions and inconsistencies.
Recent Posts
 Success Secrets for Teachers via China & India
 Fixing Flaws in Elementary Mathematics Teaching
 Missed math revealed! (Multiplication & Division)
 Multiplication via Descartes & Newton (Free Slides)
 The Lost Logic of Elementary Math
 Greening the Elementary Integer Math Matrix
 Saving Aha Moments from my Necktop Computer
 Multiplication ≠ Repeated Addition: Myth Busted!
 Reactions to my Mathematics Lessons, AZ
 Questions to Santa about Multiplication
 Goldbach Conjecture FALSE for Big Numbers
 New Lattice/Gelosia Multiplication Template
 Multiplication after the War of Independence
 Multiplication – Addition = Keith Devlin
 Errata in the Multiplication/Exponentiation Data
 Truths of Math Mocked...
 Multiplication, in Italian, German & French
 MIRA IS DEAD! (Long Live PCV.)
 How alKhwarizmi multiplied fractions: In English!
 Ramanujan was wrong... 0/0 and the SCAM
 Pythagoras in the Chinese Chou Pei Suan Ching
 The first printed edition of Euclid's Elements
 Isaac Barrow's pocket size Elements of Euclid
 Versions of Euclid's multiplication definition
 How to memorise the world's largest known prime!
 A Radical '123' proposal for Real Numbers
 Did Thales teach Pythagoras this?
 Theodorus of Cyrene, Pythagoras & Podo at Play!
 Why is negative left of zero & positive right?
 Why Positive Reals have 2 square roots
 The Financial 'Times Tables' on the Cartesian Plane
 Weirder than Weird Multiplication? Weird Division!
 Proofs for Multiplication on the Reals with a Circle
 The Master Key that Unlocks Science
 A proof ab = a added to itself b – 1 times
 1565 Pierre Forcadel on Euclid's Multiplication
 1555 Johann Scheubelon on Euclid's Multiplication
 1543 Niccolo Tartaglia on Euclid's Multiplication
 Subtracting addition from multiplication...
 Why do numbers exist?
 The Oldest Manuscript of Euclid’s Elements 888CE
 Exponentiation as Repeated Multiplication
 Is this why are Chinese kids better at math?
 Henry the Haberdasher's Multiplication
 CCSS Drops Defective Definition of Multiplication
 When Multiplication is Repeated Subtraction
 Thank your mathematics teacher here...
 Point Multiplication on Elliptic Curves