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This study investigated the current state of the U.S. and Chinese urban middle school math teachers' pedagogical content knowledge (PCK) for the topic of functions. A comparative, descriptive case study was employed to capture the PCK of 23 teachers in Arizona and of 28 teachers in Beijing, regarding their instructional

This study investigated the current state of the U.S. and Chinese urban middle school math teachers' pedagogical content knowledge (PCK) for the topic of functions. A comparative, descriptive case study was employed to capture the PCK of 23 teachers in Arizona and of 28 teachers in Beijing, regarding their instructional knowledge, understanding of student thinking and curricular knowledge--three key components based on Shulman's conceptualization of PCK--related to functions. Cross-case comparisons were used to analyze the PCK of teacher groups across countries and socio-economic statuses (SES), based on the questionnaire, lesson plan, and interview data.

This study finds that despite cultural differences, teachers are likely to share some commonalities with respect to their instructional decisions, understanding of student thinking and curricular knowledge. These similarities may reflect the convergence in teaching practice in the U.S. and China and the dedication the two countries make in improving math education. This study also finds the cross-country differences and cross-SES differences regarding teachers' PCK. On the one hand, the U.S. and Chinese math teachers of this study tend to diverge in valuing different forms of representations, explaining student misconceptions, and relating functions to other math topics. Teachers' own understanding of functions (and mathematics), standards, and high-stakes testing in each country significantly influence their PCK. On the other hand, teachers from the higher SES schools are more likely to show higher expectations for and stronger confidence in their students' mathematical skills compared to their counterparts from the lower SES schools. Teachers' differential beliefs in students' ability levels significantly contribute to their differences between socio-economic statuses.
ContributorsZou, Hui (Author) / Fischman, Gustavo (Thesis advisor) / Berliner, David (Committee member) / Sloane, Finbarr (Committee member) / Arizona State University (Publisher)
Created2014
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This dissertation identified ideas and prototypes framing the notion of “preschool” in two types of influential public discourses in Arizona during the 1987-2014: a) editorials, op-editorials, and opinion letters appearing in the Arizona Republic and Arizona Daily Star and b) political documents, including Senate and House Committee Meeting Notes and

This dissertation identified ideas and prototypes framing the notion of “preschool” in two types of influential public discourses in Arizona during the 1987-2014: a) editorials, op-editorials, and opinion letters appearing in the Arizona Republic and Arizona Daily Star and b) political documents, including Senate and House Committee Meeting Notes and Comments, Gubernatorial Speeches, Executive Orders, Comments, Proclamations, Memos, and Press Releases. Seventy seven newspaper articles and 43 political documents that substantively addressed debates about preschool in Arizona were identified from an initial pool of 631 documents, of which, 568 were newspaper articles and 63 were political documents.

This dissertation argues little progress can be made in education policy by ignoring the unconscious and automatic levels of thinking, which are not easily dissuaded with rational and factual arguments. Haas and Fischman’s (2010) model for identifying prototypes provided an analytical method to capture the richness and diversity of the educational policy debate about preschool in Arizona. Prototypes captured the values, ideologies and attitudes behind the discourse of “preschool.” Prototypes provide a window into the unconscious thoughts of the authors of the editorials, op-editorials, opinion letters and political documents. This research identified five newspaper prototypes: “Last Resort,” “Community and Family,” “Evidence-Based for At-Risk Children,” “New Knowledge Community,” and “Learner of 21st Century.” It also identified four political political prototypes: ,three of them (“Community and Family,” “Evidence-Based for At-Risk Children,” “Learner of 21st Century”) were aligned with the newspaper prototypes. The fourth prototype was “Arizona Citizen.”

This research concluded that: (1) Multiple “truths” of the concept of “preschool in the newspaper and political documents existed between 1987 and 2014, (2) An inter-relational cross-over existed between the newspaper and political documents effecting the policy debate of preschool, and (3) In less than 30 years, the newspaper and political prototypes narrowed to one. Movement away from the rational policy model, and a broader use of prototypes and discourse analysis in education policymaking, is advocated.
ContributorsShonteff, Alexia Christian (Author) / Fischman, Gustavo (Thesis advisor) / Schugurensky, Daniel, 1958- (Committee member) / Powers, Jeanne (Committee member) / Berliner, David (Committee member) / Arizona State University (Publisher)
Created2015