Dissertation/Thesis Abstract

Advanced Placement Statistics Teaching Knowledge Assessment
by Haines, Brenna, Ed.D., The George Washington University, 2014, 175; 3631362
Abstract (Summary)

Advanced Placement Statistics Teaching Knowledge Assessment Increasing student enrollment in high-school level Advanced Placement (AP) Statistics courses necessitates the need for teachers who are knowledgeable in the subject-area. However, no benchmark has been established that describes the amount or types of teaching knowledge that is required, or even desirable, of AP Statistics teachers. More specifically, there does not exist a criterion of reference to determine if an AP Statistics teacher does or does not possess the content-specific knowledge necessary to teach the subject. Therefore, a teacher may possess sufficient knowledge to teach mathematics but be deficient in the subject-specific knowledge necessary to teach AP Statistics.

This study had two main research goals. The first was to design an Advanced Placement Statistics Teaching Knowledge (APSTK) online assessment to investigate the content and pedagogical knowledge of secondary-level, in-service AP Statistics teachers. The second goal was to explore the relationships among individual teacher assessment scores and teacher characteristic variables including educational background, years of experience teaching AP Statistics, and a self-reported percentage of student success on the AP Statistics exam.

There were three primary methodological phases included in this study. Phase I consisted of item development and item-level analysis based on responses from a national sample of current AP Statistics teachers. Phase II consisted of completing a Confirmatory Factor Analysis (CFA) to evaluate the results of a measurement model and structural model using Structural Equation Modeling (SEM). Phase III consisted of a multiple regression analysis to determine which teacher characteristic indicator variables predicted APSTK latent variable score (LVS).

Phase I resulted in a modified assessment with nine AP Statistics Content Knowledge (APSCK) and five AP Statistics Pedagogical Content Knowledge (APSPCK) multiple-choice items. Phase II produced a measurement model with acceptable fit, and proved that items designed to measure APSCK and APSPCK fit well within the model. In addition, a structural model produced good fit, and showed evidence that APSCK was a more reliable construct than APSPCK. However, APSPCK was found to be a stronger predictor of overall APSTK. Phase III concluded that a linear combination of teacher characteristic variables was a significant predictor of APSTK LVS. Specifically, the self-reported "Student Success on the AP Statistics Exam" variable was the only statistically significant variable in predicting APSTK LVS.

Indexing (document details)
Advisor: Pyke, Curtis
Commitee: Kortecamp, Karen, Weiss, Brandi
School: The George Washington University
Department: Curriculum and Instruction
School Location: United States -- District of Columbia
Source: DAI-A 75/12(E), Dissertation Abstracts International
Subjects: Mathematics education, Teacher education, Secondary education, Curriculum development
Keywords: Advanced placement statistics, Assessment development, Content knowledge, Mathematics teaching knowledge, Pedagogical content knowledge, Statistics education
Publication Number: 3631362
ISBN: 9781321098662
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