Far East Journal of Mathematical Education

The Far East Journal of Mathematical Education is a peer-reviewed journal focused on mathematical education. It publishes research papers that enhance understanding of mathematical concepts and encourages the use of technology, statistics, algorithms, and simulations in mathematics learning.

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SUPPLEMENTARY REMARKS ON SIMPLE SUM USING DIMENSIONS

FROM VIEWPOINT OF CONNECTION TO PHYSICS BASED ON WEIGHTED AVERAGE

Authors

  • Yukio Kobayashi

Keywords:

formulas of sums of integers, weighted average, centre of mass, moment of force, pictorial proof

DOI:

https://doi.org/10.17654/0973563124007

Abstract

The cautions involved in determining the coefficients that represent the power expansions for the sums of integers using the undetermined coefficient method are presented. The meaning of the determined coefficients is discussed from the viewpoint of the weighted average, which can be considered a generalisation or abstraction of the concept of the centre of mass in mechanics. This view is related to cross-curricular learning between mathematics and physics through the formulas of the sums of integers.

Received: March 29, 2024
Accepted: May 11, 2024

References

Chuya Fukuda, Simple sum calculation using dimensions, Far East Journal of Mathematical Education 25 (2023), 63-69.

Yoshinari Inaba and Tetsushi Kawasaki, Kajuheikin wo enyo shita sugakuteki kankei no rikai ni tsuite, Gifu Sugaku Kyoiku Kenkyu 12 (2013), 59-64 (in Japanese).

M. B. Byalk. Geometric Applications Concepts About the Center of Gravity. State Publishing House of Physics and Mathematics Literature Moscow, 1959 (in Russian).

Yukio Kobayashi, Incident position of refracted light beam for reaching a target point, Far East Journal of Mathematical Education 21 (2021), 143-154.

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Published

28-05-2024

Issue

Vol. 26 No. 1 (2024)

Section

Articles

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How to Cite

SUPPLEMENTARY REMARKS ON SIMPLE SUM USING DIMENSIONS: FROM VIEWPOINT OF CONNECTION TO PHYSICS BASED ON WEIGHTED AVERAGE. (2024). Far East Journal of Mathematical Education, 26(1), 55-70. https://doi.org/10.17654/0973563124007

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