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Science and Mathematics Education Commons™
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Full-Text Articles in Science and Mathematics Education
An Investigation Into Problem Solving In The Calculus Iii Classroom, Joseph Godinez
An Investigation Into Problem Solving In The Calculus Iii Classroom, Joseph Godinez
Honors College
The importance of tertiary education has grown to new heights, especially in the United States. A critical component of successful modern professionals remains the ability to employ problem-solving strategies and techniques. This study seeks to investigate initial problem-solving strategies employed by post-secondary students enrolled in Calculus II when presented with problems common to integral calculus. In- person pair-wise interviews were conducted asking six participants to sort integrals into categories based on the technique they would use to solve it. Participant responses were analyzed using a concept image composed of general and topic-specific symbolic forms, related conceptual images and concept definitions, …
An Evolutionary Approach To Crowdsourcing Mathematics Education, Spencer Ward
An Evolutionary Approach To Crowdsourcing Mathematics Education, Spencer Ward
Honors College
By combining ideas from evolutionary biology, epistemology, and philosophy of mind, this thesis attempts to derive a new kind of crowdsourcing that could better leverage people’s collective creativity. Following a theory of knowledge presented by David Deutsch, it is argued that knowledge develops through evolutionary competition that organically emerges from a creative dialogue of trial and error. It is also argued that this model of knowledge satisfies the properties of Douglas Hofstadter’s strange loops, implying that self-reflection is a core feature of knowledge evolution. This mix of theories then is used to analyze several existing strategies of crowdsourcing and knowledge …