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

V. Tsirunyan, H. Adonts, Zhan Gyulbenkian
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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.
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在解决几个化学问题的过程中可能使用数学和推理
在化学教学过程中,运用各种途径、方法和技巧帮助学生获得新知识是非常重要的。利用跨学科的关系,我们展示了在解决化学问题的过程中使用相似三角形的概念和数学推理。在“解决方案”一节中,展示了如何应用相似三角形的概念并推导了相应的公式。这里观察到的模式完全符合众所周知的相似三角形概念的属性,这为使用数学技巧和方法解决问题提供了可能性。该公式用于计算饱和溶液温度下降引起的沉淀质量。在另一个例子中,为了解决这个问题,需要解决一个三角形方程,这是用数学推理和学校教的概念来完成的。众所周知,学校知识可能不足以解决三角方程。值得注意的是,化学问题中的大多数未知值都可以用离散值表示,这使得将问题重新定义为数学上的可整除性问题。我们提供的化学问题的解决方案不涉及太多的化学推理。建议的解决方案拓宽学习者的视野,增强创造性思维。
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来源期刊
Scientific Bulletin of Naval Academy
Scientific Bulletin of Naval Academy Engineering-Ocean Engineering
自引率
0.00%
发文量
16
审稿时长
8 weeks
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