Singapore Math

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Singapore math  is a teaching method based on the national mathematics curriculum used for kindergarten through sixth grade in Singapore. Singapore math, also known as the “mastery approach”: students learn a specific concept  in a linear progression before moving to the next more complex subject. Students learn and master fewer mathematical concepts at greater detail using a three-step learning process: concrete, pictorial, and abstract. These are techniques of the teaching methods: to cover fewer topics in greater depth, handling objects such as pencils, dice, or paper clips, pictorial visualisation by drawing diagrams, bar modelling (a pictorial method used to solve arithmetic problems). Bar modelling is far more efficient than the “guess-and-check” approach. A 2015 study of 140 schools in the UK by found that the mastery approach improved the speed at which students learned math skills.

This is how Jeff Bezos, the richest man on the planet teaches maths to his children.

 

 

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A Self-educated Mathematician Established the Boolean Algebra

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George Boole (1815–1864)

The term “Boolean algebra” honors George Boole (1815–1864), a self-educated English mathematician. Boolean algebra captures essential properties of both set operations and logic operations. Boolean logic is credited with laying the foundations for the information age (computers and cell phones).

One of the puzzles on Boolean logic:

There are three balls X, Y and Z. They are colored red, white and blue, but not necessarily in this order. One, but only one, of the following statements is true:

X is red

Y is not red

Z is not blue

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How many solutions does the puzzle have?

Think yourself before checking the solution.

Follow Your Passion in Math

Grow your passion by motivating practice like the 11-year-old Math Marvel

“Chess is a mathematical poem” – Aarushi Maheshwari 

The Great Explainer Richard Feynman

How to explain the most complex ideas in simple terms?

RichardFeynman-PaineMansionWoods1984_copyrightTamikoThiel_bwFour steps of the Feynman technique are

  1. Write down everything new you learn about a subject in a notebook.
  2. Pretend to teach the topic in a classroom. Try to explain in a simple way.
  3. Go back to the books when you get stuck.
  4. Simplify and use analogies that everybody knows and understands.

 

“There is no better way to learn than to teach.” – Benjamin Whichcote

Complex Problem Solving is Your Top Skill

Be ready for the Fourth Industrial Revolution!

According to the new World Economic Forum Report “The Future of Jobs” the most required skill is Complex Problem Solving together with Creativity and Critical Thinking.

Train yourself! Start with simple problems, for example, at Aplisclick, do it regularly and grow your most important skill.

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Daan Roosegaarde uses technology and creative thinking to produce imaginative, earth-friendly designs and highlights the importance of the problem solving skills.

“There are no passengers on spaceship earth. We are all crew.” – Marshall McLuhan

 

Selfie Math

Jim is going on a tour around the world. He has 5 tops, 4 bottoms, and 3 pairs of footwear. He wants to post a selfie everyday to show different places and his different outfits to his girl-friend Mary, who stays at home. He does not want to wear the same outfit twice. ## For how many days does he have enough clothing?

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Leslie Green gives the answer : 96 days.

Can you explain why it is 96? What is logic behind?

 

 

Guesstimate Methods

Guesstimate is an estimate based on a mixture of guesswork and calculation.

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“Everything should be made as simple as possible, but not simpler.” – Albert Einstein

“The purpose of computing is insight, not numbers.” – Richard Hamming