## Is Zero Your Hero?

June 9, 2018 Leave a comment

Everybody has a favorite number. What number is your hero?

Math and Logic Puzzles

June 9, 2018 Leave a comment

Everybody has a favorite number. What number is your hero?

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November 1, 2017 Leave a comment

How to explain the most complex ideas in simple terms?

Four steps of the Feynman technique are

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

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

September 3, 2017 Leave a comment

The Babylonian clay tablet from the collection of Columbia University dating from 1,000 years before Pythagoras’s theorem is a trigonometric table which has 15 pairs of numbers forming Pythagorean triples: three whole numbers a, b and c:

a^{2} + b^{2} = c^{2}

The tabet is known as the world’s oldest trig table. Babylonians used the base-60 numbers, which permitted many more accurate fractions than the contemporary base 10. For example, 2/3 = 0.6666… (or 40 minutes) was a finite number. The base-60 system were inspired from such shapes as a circle and the regular hexagon (see an example).

December 10, 2016 Leave a comment

The top OECD countries were **Singapore**, **Japan**, **Estonia**, **Finland** and **Canada**. These countries also achieve high levels of performance and equity in education outcomes.

Source: OCDE

More than one in four students in Beijing-Shanghai-Jiangsu-Guangdong (China), Hong Kong (China), Singapore and Chinese Taipei are top-performing students in mathematics, a higher share than anywhere else.

Students in larger schools score higher in science and are more likely than students in smaller schools. Students in smaller schools reported a better disciplinary climate.

Gender gap: the share of top performers in science is larger among boys than among girls. Finland is the only country in which girls are more likely to be top performers than boys. Girls mostly seek positions in the health sector and boys in becoming ICT professionals, scientists or engineers.

Five sample PISA Math questions:

June 10, 2016 Leave a comment

The classical recreational math authors are Lewis Carroll, Henry Dudley, Martin Gardner, Sam Loyd, and Yakov Perelman.

This an example of classical math puzzles: https://www.aplusclick.org/k/5423.htm :

(10^{2} + 11^{2} + 12^{2}) – (13^{2} + 14^{2}) = ?

The picture “Mental Count” of Russian painter Nikolay Bogdanov-Belsky contains the simple calculation. Image source : Wikipedia

April 16, 2016 Leave a comment

Everybody dreams.

The boy dreams of being an astronaut.

How long does he need to study and work until his dream can become reality?

Which job does not require math?

The photograph courtesy of Roland Sauter

April 10, 2016 Leave a comment

Dan Finkel suggested principles of extraordinary math teaching:

Math can the best of time or the worst of time.

1) Start with a question.

2) Thinking happens only when you have time to struggle.

3) (Teacher), you are not the answer key.

4) Say yes to your students’ ideas.

5) Play!

A marvelous quotation is attributed to the most brilliant scientist of the modern age, Albert Einstein: “Play is the highest form of research.”