This case study demonstrates the ability of high school chemistry students, with varying levels of math preparation, to experience learning-gains on state and district assessments as it relates to chemical reactions, thermodynamics, and kinetics. These advances were predicated on the use of a teaching style rooted in abstract reasoning. The methodology was presented to students and modeled by the instructor over an entire school year to reinforce key proportional relationships featured in the balanced chemical equation and related topics such as acids and bases, reaction rates, equilibrium, and conservation of matter. Despite the small sample size, there was a general increase in student success, indicated by a statistically significant difference between students receiving instruction rooted in concrete reasoning and students receiving instruction rich in abstract reasoning.

中文翻译：

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利用抽象推理教学高中化学整个学年的效果

该案例研究表明，具有不同水平的数学准备能力的高中化学学生具有与化学反应，热力学和动力学有关的，在州和地区评估中获得学习收益的能力。这些进步是建立在抽象推理基础上的教学风格的基础上的。在整个学年中，该方法已向学生介绍并由讲师进行建模，以加强平衡化学方程式和相关主题（例如酸和碱，反应速率，平衡和物质守恒）中的关键比例关系。尽管样本量很小，但学生的成功率总体上有所提高，