POSSIBLE USE OF MATHEMATICS AND REASONING IN PROBLEM-SOLVING PROCESS OF SEVERAL CHEMICAL PROBLEMS

Authors

  • VAHAGN TSIRUNYAN ASPU
  • HOVHANNES ADONTS
  • ZHAN GYULBENKIAN

DOI:

https://doi.org/10.24234/scientific.v1i43.11

Keywords:

chemical problems, logical thinking, similarity of triangles, interdisciplinary connections, creative thinking, algebraic equations, divisibility

Abstract

Nowadays it is important to use various approaches, methods and tricks during teaching process of chemistry helping students gain new knowledge. Using interdisciplinary relations, we show the use of concept of similar triangles and mathematical reasoning during problem-solving process of chemical problems.

In “Solutions” section it is shown how to apply concept of similar triangles and corresponding formula is derived. Patterns observed here exactly match the properties of well-known concept of similar triangles, which gives possibility to solve problem using mathematical tricks and methods. The formula is used to calculate the mass of precipitate formed caused by the drop of temperature of a saturated solution. In another example, in order to solve the problem, it is needed to solve a triangle equation, which is done using mathematical reasoning and concepts taught at school. It is well known that school knowledge may be insufficient to solve triangle equations. It should be noted, that majority of unknown values in chemical problems can be expressed using discreet values, which allows to solve problem by redefining it to mathematical divisibility problem.

We provide solutions to chemical problems that don’t involve much of chemical reasoning. Suggested solutions broaden learners’ mind and enhance creative thought.

References

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Bloom, B.S. (1956). Taxonomy of educational objectives: The classification of educational goals: Handbook I, New York։ Longman.

Svitanko I.V., Kisin V.V., CHuranov S.S. (2012). Standartnye algoritmy resheniya nestandartnyh himicheskih zadach. (Standard algorithms for solving non-standard chemical problems). Uchebnoe posobie po naznacheniyu k olimpiadam k olimpiadam himikov, Moskva.

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Published

2022-08-24