Number cubes

The coloured cubes can be helpful not only in primary school but also in secondary school. They can be used to demon­strate various numer­ical ratios geomet­ri­cally.

A classic example is the visu­al­i­sa­tion of a Gaussian calcu­la­tion of the sum of the first numbers of a natural number series. In the same way the sum of any arith­metic progres­sion can be demon­strated.

The sum of odd numbers can be calcu­lated through the area of a square in at least two ways: by laying it with coloured corners or with four figures of the same area.

To calcu­late the sum of the squares of the first numbers one has to go out into space, and it is easier to make a stand­alone model, and with the help of number cubes one can form a hypoth­esis, what the sum of the cubes of the first numbers is equal to.

You can also use the number cubes to explain to those who are new to maths, what is the square and the cube of a number, and illus­trate what the square of the sum of two numbers is.

Other models in “Number theory”