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The Formation of Self-Constructed Identity as Advanced Mathematical Thinker Among Some Female PhD Holders in Mathematics and the Relationship to the "Three-Worlds" Cognitive Model of Advanced Mathematical Thinking

Stone, Jason C.
http://orcid.org/0000-0002-8522-2803
http://rave.ohiolink.edu/etdc/view?acc_num=kent1436975429

Abstract Details

2015, PHD, Kent State University, College of Education, Health and Human Services / School of Teaching, Learning and Curriculum Studies.
David Tall posits a cognitive theory on the levels of mathematical thinking referred to as "Three Worlds". This model describes performance characteristics which distinguish between individuals at each of three levels of mathematical thinking, the highest being the level of an axiomatic, or advanced mathematical thinker. It is important to note the preponderance of males, even observed anecdotally, at the level of advanced mathematical thinking in professional and academic work. Worth investigation is the lack of engagement of females and this level and in these environments. Females as students, professionals, and researchers comprise a population for study to discover what influences some women to pursue degrees and to succeed at these levels. The study seeks to use narrative history interview and case-study methodologies to examine internal and external influences upon women, as cited by themselves, in the development of an identity as advanced mathematical thinker, as well as successful mathematics student and professional.
Joanne Caniglia, PhD (Committee Co-Chair)
Michael Mikusa, PhD (Committee Co-Chair)
Pratibha Ghatage, PhD (Committee Member)
643 p.
Mathematics Education
Advanced Mathematical Thinking; Women in Mathematics

Recommended Citations

Citations

  • Stone, J. C. (2015). The Formation of Self-Constructed Identity as Advanced Mathematical Thinker Among Some Female PhD Holders in Mathematics and the Relationship to the "Three-Worlds" Cognitive Model of Advanced Mathematical Thinking [Doctoral dissertation, Kent State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=kent1436975429

    APA Style (7th edition)

  • Stone, Jason. The Formation of Self-Constructed Identity as Advanced Mathematical Thinker Among Some Female PhD Holders in Mathematics and the Relationship to the "Three-Worlds" Cognitive Model of Advanced Mathematical Thinking. 2015. Kent State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=kent1436975429.

    MLA Style (8th edition)

  • Stone, Jason. "The Formation of Self-Constructed Identity as Advanced Mathematical Thinker Among Some Female PhD Holders in Mathematics and the Relationship to the "Three-Worlds" Cognitive Model of Advanced Mathematical Thinking." Doctoral dissertation, Kent State University, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=kent1436975429

    Chicago Manual of Style (17th edition)

kent1436975429
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© 2015, all rights reserved.
This open access ETD is published by Kent State University and OhioLINK.
Release 3.2.12