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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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Description
Proponents of current educational reform initiatives emphasize strict accountability, the standardization of curriculum and pedagogy and the use of standardized tests to measure student learning and indicate teacher, administrator and school performance. As a result, professional learning communities have emerged as a platform for teachers to collaborate with one another

Proponents of current educational reform initiatives emphasize strict accountability, the standardization of curriculum and pedagogy and the use of standardized tests to measure student learning and indicate teacher, administrator and school performance. As a result, professional learning communities have emerged as a platform for teachers to collaborate with one another in order to improve their teaching practices, increase student achievement and promote continuous school improvement. The primary purpose of this inquiry was to investigate how teachers respond to working in professional learning communities in which the discourses privilege the practice of regularly comparing evidence of students' learning and results. A second purpose was to raise questions about how the current focus on standardization, assessment and accountability impacts teachers, their interactions and relationships with one another, their teaching practices, and school culture. Participants in this qualitative, ethnographic inquiry included fifteen teachers working within Green School District (a pseudonym). Initial interviews were conducted with all teachers, and responses were categorized in a typology borrowed from Barone (2008). Data analysis involved attending to the behaviors and experiences of these teachers, and the meanings these teachers associated with those behaviors and events. Teachers of GSD responded differently to the various layers of expectations and pressures inherent in the policies and practices in education today. The experiences of the teachers from GSD confirm the body of research that illuminates the challenges and complexity of working in collaborative forms of professional development, situated within the present era of accountability. Looking through lenses privileged by critical theorists, this study examined important intended and unintended consequences inherent in the educational practices of standardization and accountability. The inquiry revealed that a focus on certain "results" and the demand to achieve short terms gains may impede the creation of successful, collaborative, professional learning communities.
ContributorsBenson, Karen (Author) / Barone, Thomas (Thesis advisor) / Berliner, David (Committee member) / Enz, Billie (Committee member) / Arizona State University (Publisher)
Created2011