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- Creators: Carlson, David L.
Description
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.
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
Description
ABSTRACT
While attempting to provide real world experiences in STEM, educators face numerous challenges including adhering to curriculum requirements and working with potentially limited resources. The purpose of this action research study was to examine how the addition of authentic learning modules to the existing University of Arizona Middle School Engineering 101 (UA MS engineering 101) unit on energy efficiency can provide students with real world experiences as active participants. During an instructional workshop, participating teachers were introduced to strategies they use in their classroom so students could engage with individuals from both inside and outside of the school to create solutions for energy issues the students have identified within their own schools. This study used a series of observations, interviews, and focus groups with the teacher participants to gather data in determining how and in what ways students were able to obtain real world experiences as active participants through the authentic learning modules. Because there are numerous teachers within the UA MS engineering 101 group, a future goal was to assist these additional teachers in providing this innovation to their students.
While attempting to provide real world experiences in STEM, educators face numerous challenges including adhering to curriculum requirements and working with potentially limited resources. The purpose of this action research study was to examine how the addition of authentic learning modules to the existing University of Arizona Middle School Engineering 101 (UA MS engineering 101) unit on energy efficiency can provide students with real world experiences as active participants. During an instructional workshop, participating teachers were introduced to strategies they use in their classroom so students could engage with individuals from both inside and outside of the school to create solutions for energy issues the students have identified within their own schools. This study used a series of observations, interviews, and focus groups with the teacher participants to gather data in determining how and in what ways students were able to obtain real world experiences as active participants through the authentic learning modules. Because there are numerous teachers within the UA MS engineering 101 group, a future goal was to assist these additional teachers in providing this innovation to their students.
ContributorsJagielski, Donna Marie (Author) / Marley, Scott C. (Thesis advisor) / Carlson, David L. (Committee member) / Medrano, Juan (Committee member) / Arizona State University (Publisher)
Created2016