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## Can math education professors and the K-8 teachers they train answer these two Grade 5 level questions? (Exp. 15 March 2022)

You'd expect it would be pretty easy for mathematics education professors and the K-8 level teachers they train to explain simple addition, subtraction, multiplication and division of integers. The integers you'll recall are the positive and negative whole numbers on either side of zero on a number line.

One thing all the books below have in common is explanations of the four basic operations: addition, subtraction, multiplication and division.

In 1522 The art of calculation in four books became the first mathematics book printed in England. It's Latin title was De arte supputandi libri quattuor and its author was an English Catholic bishop called Cuthbert Tunstall. Cuthbert got his ideas from the Italian Luca Pacioli's 1494 Summa de arithmetica, geometria, proportioni et proportionalità. Luca got his ideas from Piero della Francesca's, Trattato d'abaco (c. 1465). Piero got his ideas from Leonardo Pisano's book Liber Abaci from 1202. Leonardo, also known as Fibonacci, got his ideas from North African traders who followed the arithmetic of the Persian al-Khwarizmi written in Arabic around 825 CE. The Latin title of al-Khwārizmī's book was Algoritmi de numero Indorum (Al-Khwārizmī Concerning the Hindu Art of Reckoning). He in turn, got his ideas on arithmetic from the Indian, Brahmagupta, who documented the four basic operations with rules of negatives, positives and zero in 628 CE.

## THE GRADE 5 LEVEL QUICK QUINCENTENARY QUIZ FOR \$500

Without resorting to abstract laws or rules, show how you use classroom manipulatives to explain:
MULTIPLICATION

So a Grade 5 child can understand and explain why, for example –1 × –1 = +1
DIVISION
So a Grade 5 child can understand and explain why, for example +12 ÷ –4 = –3

To enter, simply upload a video to YouTube before midnight 15 March 2022 AEST with #QuincentenaryQuiz in the title and as a hashtag AND email research@jonathancrabtree.com

TERMS AND CONDITIONS
The first entry