Optimization Research on Middle School Students’ Methods of Solving Word Problems with Equations: Taking the Mistake in “Taking a Taxi” for an Example

DOI

10.2991/assehr.k.220107.014How to use a DOI?

Keywords

all the equality relationships; sufficient condition; necessary condition; the method of finding the whole; the method of finding the whole in a broad sense

Abstract

Solving word problems with equations or equation sets is regarded as the important teaching content by educators in mathematics in China, but there is still a phenomenon of one-sided thinking in solving problems, the mistake such as “taking a taxi” is a typical example. Aiming at solving the current methods with limitations, this paper puts forward “the method of finding the whole” and “the method of finding the whole in a broad sense” based on the logic principle of sufficient and necessary condition and the essential definition of equation. By finding out all the equality relationships and inequality relationships in the proposition, one can correctly solve the word problems represented by “taking a taxi” and establish relatively rigorous and practical solutions.

Copyright

© 2022 The Authors. Published by Atlantis Press SARL.

Open Access

This is an open access article under the CC BY-NC license.

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TY  - CONF
AU  - En-qing Dai
PY  - 2022
DA  - 2022/01/20
TI  - Optimization Research on Middle School Students’ Methods of Solving Word Problems with Equations: Taking the Mistake in “Taking a Taxi” for an Example
BT  - Proceedings of the 4th International Seminar on Education Research and Social Science (ISERSS 2021)
PB  - Atlantis Press
SP  - 76
EP  - 82
SN  - 2352-5398
UR  - https://doi.org/10.2991/assehr.k.220107.014
DO  - 10.2991/assehr.k.220107.014
ID  - Dai2022
ER  -