The ONLY way to introduce multiplication is THIS WAY!
Happy New Year!
To multiply, we apply the ratio 1 : multiplier to our multiplicand, to get the product.
To divide, we apply the ratio divisor : 1 to our dividend, to get the quotient!
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People have had the WRONG idea about multiplication and division for centuries!
The reason people don't know about this approach is truly bizarre. In 1570 a London haberdasher changed Euclid's definition of multiplication! You can read my recent conference paper that explains The Lost Logic of Elementary Mathematics at https://bit.ly/LostLogicOfMath
Another important post to explore is https://bit.ly/xapplet
Best wishes to you and you family for a happy and healthy 2017!
Jonathan Crabtree www.jonathancrabtree.com/mathematics/
Okla math educator & ACT/SAT tutor since 1997; supporter of & participant in the performing arts; Dad to my daughter
7 年So with this we're teaching multiplication... with multiplication? How is this still not showing groupings & thus ultimately repeated addition?
Expert in Agile Methodology, Requirements Gathering, Process Mapping & Technical Solutions | Skilled in JIRA, API Integration & QA Testing
7 年jonathan how do we explain .....exponential ? i guess its not repeatitive multiplication ??
Expert in Agile Methodology, Requirements Gathering, Process Mapping & Technical Solutions | Skilled in JIRA, API Integration & QA Testing
7 年a very happy new ye ?? it was fun reading!
Founder and Head of Podometic Bharatiya Maths
7 年Now updated with a video using Done That Do This for division!