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Students’ Meanings for Stochastic Process While Developing a Conception of Distribution

Abstract The concept of distribution is one of the core ideas of probability theory and inferential statistics, if not the core idea. Many introductory statistics textbooks pay lip service to stochastic/random processes but how do students think about these processes? This study sought to explore what understandings of stochastic process students develop as they work through materials intended to support them in constructing the long-run behavior meaning for distribution.

I collected data in three phases. First, I conducted a set of task-based clinical interviews that allowed me to build initial models for the students’ meanings for randomness and probability. Second, I worked with Bonnie in an exploratory teaching setting through three sets ... (more)
Created Date 2019
Contributor Hatfield, Neil (Author) / Thompson, Patrick (Advisor) / Carlson, Marilyn (Committee member) / Middleton, James (Committee member) / Lehrer, Richard (Committee member) / Reiser, Mark (Committee member) / Arizona State University (Publisher)
Subject Mathematics education / Statistics / mathematics education / statistics education
Type Doctoral Dissertation
Extent 285 pages
Language English
Note Doctoral Dissertation Mathematics Education 2019
Collaborating Institutions Graduate College / ASU Library
Additional Formats MODS / OAI Dublin Core / RIS

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Description Dissertation/Thesis