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Recently there has been an increase in the number of people calling for the incorporation of relevant mathematics in the mathematics classroom. Unfortunately, various researchers define the term relevant mathematics differently, establishing several ideas of how relevancy can be incorporated into the classroom. The differences between mathematics education researchers' definitions

Recently there has been an increase in the number of people calling for the incorporation of relevant mathematics in the mathematics classroom. Unfortunately, various researchers define the term relevant mathematics differently, establishing several ideas of how relevancy can be incorporated into the classroom. The differences between mathematics education researchers' definitions of relevant and the way they believe relevant math should be implemented in the classroom, leads one to conclude that a similarly varied set of perspectives probably exists between teachers and students as well. The purpose of this exploratory study focuses on how the student and teacher perspectives on relevant mathematics in the classroom converge or diverge. Specifically, do teachers and students see the same lessons, materials, content, and approach as relevant? A survey was conducted with mathematics teachers at a suburban high school and their algebra 1 and geometry students to provide a general idea of their views on relevant mathematics. An analysis of the findings revealed three major differences: the discrepancy between frequency ratings of teachers and students, the differences between how teachers and students defined the term relevance and how the students' highest rated definitions were the least accounted for among the teacher generated questions, and finally the impact of differing attitudes towards mathematics on students' feelings towards its relevance.
ContributorsRedman, Alexandra P (Author) / Middleton, James (Thesis advisor) / Sloane, Finbarr (Committee member) / Blumenfeld-Jones, Donald (Committee member) / Arizona State University (Publisher)
Created2012
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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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A sample of 127 high school Advanced Placement (AP) Calculus students from two schools was utilized to study the effects of an engineering design-based problem solving strategy on student performance with AP style Related Rate questions and changes in conceptions, beliefs, and influences. The research design followed a treatment-control multiple

A sample of 127 high school Advanced Placement (AP) Calculus students from two schools was utilized to study the effects of an engineering design-based problem solving strategy on student performance with AP style Related Rate questions and changes in conceptions, beliefs, and influences. The research design followed a treatment-control multiple post-assessment model with three periods of data collection. Four high school calculus classes were selected for the study, with one class designated as the treatment and three as the controls. Measures for this study include a skills assessment, Related Rate word problem assessments, and a motivation problem solving survey. Data analysis utilized a mixed methods approach. Quantitative analysis consisted of descriptive and inferential methods utilizing nonparametric statistics for performance comparisons and structural equation modeling to determine the underlying structure of the problem solving motivation survey. Statistical results indicate that time on task was a major factor in enhanced performance between measurement time points 1 and 2. In the experimental classroom, the engineering design process as a problem solving strategy emerged as an important factor in demonstrating sustained achievement across the measurement time series when solving volumetric rates of change as compared to traditional problem solving strategies. In the control classrooms, where traditional problem solving strategies were emphasized, a greater percentage of students than in the experimental classroom demonstrated enhanced achievement from point 1 to 2, but showed decrease in achievement from point 2 to 3 in the measurement time series. Results from the problem solving motivation survey demonstrated that neither time on task nor instruction strategy produced any effect on student beliefs about and perceptions of problem solving. Qualitative error analysis showed that type of instruction had little effect on the type and number of errors committed, with the exception of procedural errors from performing a derivative and errors decoding the problem statement. Results demonstrated that students who engaged in the engineering design-based committed a larger number of decoding errors specific to Pythagorean type Related Rate problems; while students who engaged in routine problem solving did not sustain their ability to correctly differentiate a volume equation over time. As a whole, students committed a larger number of misused data errors than other types of errors. Where, misused data errors are the discrepancy between the data as given in a problem and how the student used the data in problem solving.
ContributorsThieken, John (Author) / Ganesh, Tirupalavanam G. (Thesis advisor) / Sloane, Finbarr (Committee member) / Middleton, James (Committee member) / Arizona State University (Publisher)
Created2012
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Description
I conducted a qualitative, comparative study on the nursing education systems in the United Kingdom and the United States, focusing on two universities—Arizona State University in Phoenix, Arizona and Leeds Beckett University in Leeds, England. The goals of my thesis included comparing the educational, economic, and cultural aspects of the

I conducted a qualitative, comparative study on the nursing education systems in the United Kingdom and the United States, focusing on two universities—Arizona State University in Phoenix, Arizona and Leeds Beckett University in Leeds, England. The goals of my thesis included comparing the educational, economic, and cultural aspects of the countries and how those aspects impact nursing students on both sides of the pond. The educational and economic aspects were compared by utilizing existing literature and open data sources such as the university websites and publications from comparative education journals, while the cultural differences were evaluated by conducting short, one-on-one interviews with students enrolled in the Adult Health courses at both universities. The findings from the interviews were transcribed and coded, and findings from the sites were compared. While there is an extensive amount of research published regarding comparative education, there has not been much published comparing these developed countries. While there is a significant difference in the structure and cost of the nursing programs, there are more similarities than differences in culture between nursing students interviewed in the US and those interviewed in the UK.
ContributorsTahiliani, Shreja (Author) / Hagler, Debra (Thesis director) / Allen, Angela (Committee member) / Arizona State University. College of Nursing & Healthcare Innovation (Contributor) / Barrett, The Honors College (Contributor)
Created2016-05
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Minority mental health patients face many health inequities and inequalities that may stem from implicit bias and a lack of cultural awareness from their healthcare providers. I analyzed the current literature evaluating implicit bias among healthcare providers and culturally specific life traumas that Latinos and African Americans face that can

Minority mental health patients face many health inequities and inequalities that may stem from implicit bias and a lack of cultural awareness from their healthcare providers. I analyzed the current literature evaluating implicit bias among healthcare providers and culturally specific life traumas that Latinos and African Americans face that can impact their mental health. Additionally, I researched a current mental health assessments tool, the Child and Adolescent Trauma Survey (CATS), and evaluated it for the use on Latino and African American patients. Face-to-face interviews with two healthcare providers were also used to analyze the CATS for its’ applicability to Latino and African American patients. Results showed that these assessments were not sufficient in capturing culturally specific life traumas of minority patients. Based on the literature review and analysis of the interviews with healthcare providers, a novel assessment tool, the Culturally Traumatic Events Questionnaire (CTEQ), was created to address the gaps that currently make up other mental health assessment tools used on minority patients.

ContributorsAldana, Lauren Michelle (Author) / Sullivan-Detheridge, Julie (Thesis director) / Allen, Angela (Committee member) / Edson College of Nursing and Health Innovation (Contributor) / Barrett, The Honors College (Contributor)
Created2021-05