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Help Our American Kids with Their Math

因材施教 yin_1 cai_2 shi_1 jiao_4 Teachers and Parents, when teaching, ought as far as possible to teach students according to their abilities. – Confucius Dedicated to my dear daughter who made me re-learn math, view the stuff in a different perspective, made me realize that she has her own way to learn math, and made […]

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Maths – Distributive Property

Notes: Distributive property is one of key links in elementary school maths. Indeed, in my opinion, if you really understand three concepts: fractions, negative numbers and the distributive property before you graduate from elementary school, you are good to go to middle school maths. How to group things in different ways, array or matrix. Or […]

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Maths – Fraction Division and Multiplication

Fraction Division Five approaches to make sense of Invert and Multiply Other references:  Noted-Understanding Division of Fractions- An Alternative View Making Sense of Invert and Multiply Why do we Invert and Multiply  Fraction Multiplication Note: Imagine multiplying a fraction by a whole number as adding the fraction to itself that many times.  Alternatively, imagine multiplying […]

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Maths – operation orders

Is the following calculation correct? If not, please correct it. Can you imagine why a person made this mistake? 7 – (5 – 2) = (5 -2) – 7 One possible reason for this mistake: The person remembers to do what is in parentheses first. So when being asked show your work, he put parentheses […]

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Maths – Numbers and Subtractions

Is the following calculation correct? If not, please correct it. Can you imagine why a person made this mistake? Two possible reasons for this mistake: The person confused numbers 24, 18, as 2, 4, 1, 8. Thus, he does not understand a number is composed of digits (from 0 to 9) and each digit’s place […]

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