SUPPLEMENTARY REMARKS ON SIMPLE SUM USING DIMENSIONS
FROM VIEWPOINT OF CONNECTION TO PHYSICS BASED ON WEIGHTED AVERAGE
Keywords:
formulas of sums of integers, weighted average, centre of mass, moment of force, pictorial proofDOI:
https://doi.org/10.17654/0973563124007Abstract
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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