## Motorway Problem

July 12, 2019 Leave a comment

How to choose the shortest road that connects several towns. This is a story about local and global minimums. Excellent presentation of soapy films.

Math and Logic Puzzles

July 12, 2019 Leave a comment

How to choose the shortest road that connects several towns. This is a story about local and global minimums. Excellent presentation of soapy films.

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May 27, 2019 Leave a comment

Leslie Green explains how our voting systems can be unrepresentative.

Five different parties are standing in an election for one representative. The voting methods: First past the post (FPTP): the party with the highest vote-count wins.

Is the voting system representative?

The no-pets party has 30% of the total, whereas parties that want pets are the remaining 70%. As it stands the FPTP system would vote-in the no-pets party, which does not represent the view of the electorate. What has happened is that the pro-pet movement has splintered, dividing the vote. In order to overcome this, one can use a transferable vote scheme so people can vote for their preferred option safely, preventing the hated no-pets party from winning.

A more detailed analysis can be found in an example.

January 2, 2019 Leave a comment

Big Ben is the nickname for the Great Bell of the clock at the north end of the Palace of Westminster in London, United Kingdom.

A pile of old coins helps to keep the clock mechanism accurate. The pennies are stacked on the pendulum of the clock and have acted as weights. Adding or taking away coins effects the pendulum’s centre of mass and the rate at which it swings. A single penny will change the clock’s speed by two fifths of one second per day.

How does the weekly time change if we add 5 pennies to the pendulum?

At twelve o’clock, twelve chimes ring from the great bell in 44 seconds. ## How long does it takes to ring the hours at 15:00 ?

November 4, 2018 Leave a comment

**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.

September 8, 2018 Leave a comment

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

How many solutions does the puzzle have?

Think yourself before checking the solution.

April 18, 2018 Leave a comment

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

“Chess is a mathematical poem” – *Aarushi Maheshwari *

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