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2010. Genre/Form: Electronic dissertationsAcademic theses Material Type: Document, Thesis/dissertation, Internet resource Document Type: Internet Resource, Computer File All Authors / Contributors: John Gruver Find more information about: John Gruver OCLC Number: 793511921 Description: 1 online resource (vi, 44 pages) : color illustrations Responsibility: John Gruver. Abstract: While proof and reasoning lie at the core of mathematical practice, how students learn to reason formally and build convincing proofs continues to invite reflection and discussion. To add to this discussion I investigated how three students grew in their conceptions of mathematical induction. While each of the students in the study had different experiences and grew in different ways, the grounded axes (triggering events, personal questions about mathematics, and personal questions about a particular solution) highlighted patterns in the narratives and from these patterns a theoretical perspective emerged. Reflection, both on mathematics in general and about specific problems, was central to students? growth. The personal reflections of students and triggering events influenced each other in the following way. The questions students wondered about impacted which trigger stimulated growth, while triggers caused students to rethink assumptions and reflect on mathematics or specific problems. The reflections that allowed triggers to stimulate growth along with the reflections that were results of triggering events constitute an?investigative orientation.? Each narrative reflects a different investigative orientation motivated by different personal needs. These investigative orientations affected what type of knowledge was constructed.

Title : Growth in students' conceptions of mathematical induction
Author : John Gruver
Language : en
Rating :
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Type : PDF, ePub, Kindle
Uploaded : Apr 12, 2021

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