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This webpage offers a doctoral dissertation in which the author proposes a theoretical framework to analyze and describe students' mathematical thinking in physics. The author addresses two particular questions. What are the cognitive tools involved in formal mathematical thinking in physics? And, why do students make the kinds of mistakes they do when using mathematics in physics? Two important results from this work are: (1) the construction of a theoretical framework that offers researchers a vocabulary and grammar for understanding the nature and origin of mathematical use in the context physics, and (2) a detailed understanding, in terms of the proposed theoretical framework, of the errors that students make when using mathematics in the context of physics.
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