NotesFAQContact Us
Collection
Advanced
Search Tips
Back to results
ERIC Number: ED601128
Record Type: Non-Journal
Publication Date: 2017
Pages: 241
Abstractor: As Provided
ISBN: 978-1-3920-1188-1
ISSN: EISSN-
EISSN: N/A
Available Date: N/A
Secondary Mathematics Teachers' Informal Inferential Reasoning: The Role of Knowledge Structures for Measures of Center, Spread and Shape
Engledowl, Christopher
ProQuest LLC, Ph.D. Dissertation, University of Missouri - Columbia
This study examined middle and secondary mathematics teachers' knowledge structures, informal inferential reasoning (IIR), and pedagogical content knowledge (PCK) for statistics. Using task-based clinical interviews (Goldin, 1997) and cross-case analysis (Creswell, 2013), a stratified purposeful sample (Patton, 2002) of nine teachers responded to the Goals and Outcomes Associated with Learning Statistics (GOALS-2) instrument (Sabbag & Zieffler, 2015), released items from the Levels of Conceptual Understanding in Statistics (LOCUS) assessment (Jacobbe, 2016) and supplemental questions to assess PCK (Watson et al., 2008). Responses were used to construct maps of teachers' knowledge structures for measures of center, spread, and shape (Groth & Bergner, 2013) and knowledge structures were analyzed for common characteristics. Teachers' IIR was coded for the appropriateness of responses (Means & Voss, 1996) and key components of IIR (Makar & Rubin, 2009) were identified. To distinguish teachers' PCK level, descriptions of four hierarchical levels were used (Callingham & Watson, 2011) and knowledge structures were classified as "desirable-connected", "undesirable-connected", and "undesirable-disconnected". Although teachers largely engaged in the "inference" and "data" components of IIR, they rarely referenced the "uncertainty" component. In general, teachers with more connected knowledge structures and fewer undesirable knowledge elements exhibited more "acceptable" forms of IIR and higher PCK levels. Within IIR contexts, teachers struggled to exhibit "acceptable" forms of IIR and demonstrated the lowest levels of PCK, but within non-IIR contexts, they exhibited "acceptable" reasoning more often as well as higher PCK levels. Implications for teacher education are discussed and recommendations for future research are offered. [The dissertation citations contained here are published with the permission of ProQuest LLC. Further reproduction is prohibited without permission. Copies of dissertations may be obtained by Telephone (800) 1-800-521-0600. Web page: http://www.proquest.com/en-US/products/dissertations/individuals.shtml.]
ProQuest LLC. 789 East Eisenhower Parkway, P.O. Box 1346, Ann Arbor, MI 48106. Tel: 800-521-0600; Web site: http://www.proquest.com/en-US/products/dissertations/individuals.shtml
Publication Type: Dissertations/Theses - Doctoral Dissertations
Education Level: Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
Author Affiliations: N/A