To facilitate comprehension of the theorem intuitively in the range of natural numbers at the elementary arithmetic level, a pictorial proof of this theorem is presented. The diagrams used for this proof can also help primary and secondary students understand the meaning of ratios or fractions.

fractions, ratio.

Received: March 1, 2022; Accepted: March 28, 2022; Published: June 15, 2022

How to cite this article: Yukio Kobayashi, Proof without words:  in the range of natural numbers, Far East Journal of Mathematical Education 22 (2022), 29-32. http://dx.doi.org/10.17654/0973563122006

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

References:

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