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 – Puzzle 2

Weighty Problem If a baseball weighs 12 ounces plus half its own weight, how much does it weigh? Entertainment Mathematical Puzzles by Martin Gardner

Read More "Maths – Puzzle 2"## 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 […]

Read More "Maths – Distributive Property"## Maths – Percent

Translate words into maths expressions. In the above case, step 2: tell the relationship between 15, ?%, and 16. Then you surely can figure out ?%. Caution: ?% = ?/100 In the above case, step 2: tell the relationship between ?%, 83, and 36. Then you surely can figure out ?%. Question: A stadium can […]

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What is wrong with the following calculations? ;

Read More "Maths – Counting numbers"## 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 […]

Read More "Maths – Fraction Division and Multiplication"## Maths – Puzzle

The Colored Socks Ten red socks and ten blue socks are all mixed up in a dresser drawer. The twenty socks are exactly alike except for their color. The room is in pitch darkness and you want two matching socks. What is the smallest number of socks you must take out of the drawer in […]

Read More "Maths – Puzzle"## Maths – Negative Numbers

Simplify the expression. Is the following work correct? If not, please correct it. Can you imagine why a person made this mistake? 2 – 8m + 2m + 6 + 8m = 8 – 18m One possible reason for this mistake: The person does not know the sign in front of a term goes with […]

Read More "Maths – Negative Numbers"## 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 […]

Read More "Maths – operation orders"## 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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