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Stylianides, Gabriel J. – Mathematical Thinking and Learning: An International Journal, 2009
Despite widespread agreement that the activity of "reasoning-and-proving" should be central to all students' mathematical experiences, many students face serious difficulties with this activity. Mathematics textbooks can play an important role in students' opportunities to engage in reasoning-and-proving: research suggests that many decisions that…
Descriptors: Textbooks, Mathematics Instruction, Mathematical Logic, Problem Solving
Stylianides, Gabriel J.; Stylianides, Andreas J. – Mathematical Thinking and Learning: An International Journal, 2008
There are currently increased efforts to make proof central to school mathematics throughout the grades. Yet, realizing this goal is challenging because it requires that students master several abilities. In this article we focus on one such ability, namely, the ability for "deductive reasoning," and we review psychological research to enhance…
Descriptors: Mathematics Instruction, Mathematical Logic, Validity, Psychological Studies

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