Matching Items (7)
Filtering by
- All Subjects: Mathematics Education
- All Subjects: Academic Achievement
- Creators: Buss, Ray
Description
This study explores teacher educators' personal theories about the instructional practices central to preparing future teachers, how they enact those personal theories in the classroom, how they represent the relationship between content, pedagogy, and technology, and the function of technology in teacher educators' personal theories about the teaching of mathematics and their practices as enacted in the classroom. The conceptual frameworks of knowledge as situated and technology as situated provide a theoretical and analytical lens for examining individual instructor's conceptions and classroom activity as situated in the context of experiences and relationships in the social world. The research design employs a mixed method design to examine data collected from a representative sample of three full-time faculty members teaching methods of teaching mathematics in elementary education at the undergraduate level. Three primary types of data were collected and analyzed:
a) structured interviews using the repertory grid technique to model the mathematics education instructors' schemata regarding the teaching of mathematics methods; b) content analysis of classroom observations to develop models that represent the relationship of pedagogy, content, and technology as enacted in the classrooms; and c) brief retrospective protocols after each observed class session to explore the reasoning and individual choices made by an instructor that underlie their teaching decisions in the classroom. Findings reveal that although digital technology may not appear to be an essential component of an instructor's toolkit, technology can still play an integral role in teaching. This study puts forward the idea of repurposing as technology -- the ability to repurpose items as models, tools, and visual representations and integrate them into the curriculum. The instructors themselves became the technology, or the mediational tool, and introduced students to new meanings for "old" cultural artifacts in the classroom. Knowledge about the relationships between pedagogy, content, and technology and the function of technology in the classroom can be used to inform professional development for teacher educators with the goal of improving teacher preparation in mathematics education.
a) structured interviews using the repertory grid technique to model the mathematics education instructors' schemata regarding the teaching of mathematics methods; b) content analysis of classroom observations to develop models that represent the relationship of pedagogy, content, and technology as enacted in the classrooms; and c) brief retrospective protocols after each observed class session to explore the reasoning and individual choices made by an instructor that underlie their teaching decisions in the classroom. Findings reveal that although digital technology may not appear to be an essential component of an instructor's toolkit, technology can still play an integral role in teaching. This study puts forward the idea of repurposing as technology -- the ability to repurpose items as models, tools, and visual representations and integrate them into the curriculum. The instructors themselves became the technology, or the mediational tool, and introduced students to new meanings for "old" cultural artifacts in the classroom. Knowledge about the relationships between pedagogy, content, and technology and the function of technology in the classroom can be used to inform professional development for teacher educators with the goal of improving teacher preparation in mathematics education.
ContributorsToth, Meredith Jean (Author) / Middleton, James (Thesis advisor) / Sloane, Finbarr (Committee member) / Buss, Ray (Committee member) / Atkinson, Robert (Committee member) / Arizona State University (Publisher)
Created2014
Description
This paper addresses a local problem of practice at Arizona State University regarding the support for potentially underprepared students. The overarching goal of this study was to better understand the role rapport plays in student achievement. This study examines how the LEAD Project (Learn, Explore, Advance, Design), in particular student relationships with instructors and their peers, may or may not influence student achievement. LEAD students complete three courses as a group – Introduction to Human Communication (COM 100), Critical Reading and Thinking (UNI 110), and The LEAD Project (ASU 150). The innovation was designed to give students the opportunity to build relationships with their instructors and with each other, so class sizes are limited to 40 students. Additionally, instructors work together outside of class to develop curriculum, instructional plans, and how to best support individual students.
Guiding literature for this study included Self-Determination Theory (SDT) as well as related studies (Deci & Flaste, 1995). This theory describes human motivation as a factor of the extent to which one feels autonomy, competence, and relatedness. Though relevant in many contexts, past researchers used SDT as a tool for understanding students’ motivation to learn (Black & Deci, 2000; Freiberger, Steinmayr, & Spinath, 2012; Reeve & Jang, 2006).
The study used a concurrent mixed-method action research design including interviews, questionnaires, and institutional data. Over 400 first-year students participated in the study. Students shared their perceptions of their rapport with their instructors and peers, and their perceived learning in each of the three LEAD courses.
Data were analyzed using correlation and linear regression approaches. Significant relations occurred between many instructor-student rapport scales, peer rapport, perceived learning, and course grades. Additionally, instructor-student rapport scales significantly predicted perceived learning.
Qualitative and quantitative findings were aligned with each other, and were consistent with previous studies. This study advances the body of knowledge about instructor-student rapport by extending the findings around its role in student achievement. Results also suggested the need to further explore the role of peer rapport and its influence on student achievement. Results from the study show instructor-student rapport was mediators of student achievement.
Guiding literature for this study included Self-Determination Theory (SDT) as well as related studies (Deci & Flaste, 1995). This theory describes human motivation as a factor of the extent to which one feels autonomy, competence, and relatedness. Though relevant in many contexts, past researchers used SDT as a tool for understanding students’ motivation to learn (Black & Deci, 2000; Freiberger, Steinmayr, & Spinath, 2012; Reeve & Jang, 2006).
The study used a concurrent mixed-method action research design including interviews, questionnaires, and institutional data. Over 400 first-year students participated in the study. Students shared their perceptions of their rapport with their instructors and peers, and their perceived learning in each of the three LEAD courses.
Data were analyzed using correlation and linear regression approaches. Significant relations occurred between many instructor-student rapport scales, peer rapport, perceived learning, and course grades. Additionally, instructor-student rapport scales significantly predicted perceived learning.
Qualitative and quantitative findings were aligned with each other, and were consistent with previous studies. This study advances the body of knowledge about instructor-student rapport by extending the findings around its role in student achievement. Results also suggested the need to further explore the role of peer rapport and its influence on student achievement. Results from the study show instructor-student rapport was mediators of student achievement.
ContributorsVawter, Katherine (Author) / Kulinna, Pamela (Thesis advisor) / Buss, Ray (Committee member) / Potts, Shelly (Committee member) / Arizona State University (Publisher)
Created2018
Description
Public Mathematics Education is not at its best in the United States and technology is often seen as part of the solution to address this issue. With the existence of high-speed Internet, mobile technologies, ever-improving computer programming and graphing, the concepts of learning management systems (LMS’s) and online learning environments (OLE’s), technology-based learning has elevated to a whole new level. The new generation of online learning enables multi-modal utilization, and, interactivity with instant feedback, among the other precious characteristics identified in this study. The studies that evaluated the effects of online learning often measured the immediate impacts on student achievement; there are very few studies that have investigated the longer-term effects in addition to the short term ones.
In this study, the effects of the new generation Online Learning Activity Based (OLAB) Curriculum on middle school students’ achievement in mathematics at the statewide high-stakes testing system were examined. The results pointed out that the treatment group performed better than the control group in the short term (immediately after the intervention), medium term (one year after the intervention), and long term (two years after the intervention) and that the results were statistically significant in the short and long terms.
Within the context of this study, the researcher also examined some of the factors affecting student achievement while using the OLE as a supplemental resource, namely, the time and frequency of usage, professional development of the facilitators, modes of instruction, and fidelity of implementation. While the researcher detected positive correlations between all of the variables and student achievement, he observed that school culture is indeed a major feature creating the difference attributed to the treatment group teachers.
The researcher discovered that among the treatment group teachers, the ones who spent more time on professional development, used the OLE with greater fidelity and attained greater gains in student achievement and interestingly they came from the same schools. This verified the importance of school culture in teachers’ attitudes toward making the most of the resources made available to them so as to achieve better results in terms of student success in high stakes tests.
In this study, the effects of the new generation Online Learning Activity Based (OLAB) Curriculum on middle school students’ achievement in mathematics at the statewide high-stakes testing system were examined. The results pointed out that the treatment group performed better than the control group in the short term (immediately after the intervention), medium term (one year after the intervention), and long term (two years after the intervention) and that the results were statistically significant in the short and long terms.
Within the context of this study, the researcher also examined some of the factors affecting student achievement while using the OLE as a supplemental resource, namely, the time and frequency of usage, professional development of the facilitators, modes of instruction, and fidelity of implementation. While the researcher detected positive correlations between all of the variables and student achievement, he observed that school culture is indeed a major feature creating the difference attributed to the treatment group teachers.
The researcher discovered that among the treatment group teachers, the ones who spent more time on professional development, used the OLE with greater fidelity and attained greater gains in student achievement and interestingly they came from the same schools. This verified the importance of school culture in teachers’ attitudes toward making the most of the resources made available to them so as to achieve better results in terms of student success in high stakes tests.
ContributorsMeylani, Rusen (Author) / Bitter, Gary G. (Thesis advisor) / Legacy, Jane (Committee member) / Buss, Ray (Committee member) / Arizona State University (Publisher)
Created2016
Description
The purpose of this study was to identify the algebraic reasoning abilities of young students prior to instruction. The goals of the study were to determine the influence of problem, problem type, question, grade level, and gender on: (a) young children’s abilities to predict the number of shapes in near and far positions in a “growing” pattern without assistance; (b) the nature and amount of assistance needed to solve the problems; and (c) reasoning methods employed by children.
The 8-problem Growing Patterns and Functions Assessment (GPFA), with an accompanying interview protocol, were developed to respond to these goals. Each problem presents sequences of figures of geometric shapes that differ in complexity and can be represented by the function, y = mf +b: in Type 1 problems (1 - 4), m = 1, and in Type 2 problems (5 - 8), m = 2. The two questions in each problem require participants to first, name the number of shapes in the pattern in a near position, and then to identify the number of shapes in a far position. To clarify reasoning methods, participants were asked how they solved the problems.
The GPFA was administered, one-on-one, to 60 students in Grades 1, 2, and 3 with an equal number of males and females from the same elementary school. Problem solution scores without and with assistance, along with reasoning method(s) employed, were tabulated.
Results of data analyses showed that when no assistance was required, scores varied significantly by problem, problem type, and question, but not grade level or gender. With assistance, problem scores varied significantly by problem, problem type, question, and grade level, but not gender.
The 8-problem Growing Patterns and Functions Assessment (GPFA), with an accompanying interview protocol, were developed to respond to these goals. Each problem presents sequences of figures of geometric shapes that differ in complexity and can be represented by the function, y = mf +b: in Type 1 problems (1 - 4), m = 1, and in Type 2 problems (5 - 8), m = 2. The two questions in each problem require participants to first, name the number of shapes in the pattern in a near position, and then to identify the number of shapes in a far position. To clarify reasoning methods, participants were asked how they solved the problems.
The GPFA was administered, one-on-one, to 60 students in Grades 1, 2, and 3 with an equal number of males and females from the same elementary school. Problem solution scores without and with assistance, along with reasoning method(s) employed, were tabulated.
Results of data analyses showed that when no assistance was required, scores varied significantly by problem, problem type, and question, but not grade level or gender. With assistance, problem scores varied significantly by problem, problem type, question, and grade level, but not gender.
ContributorsCavanagh, Mary Clare (Author) / Greenes, Carole E. (Thesis advisor) / Buss, Ray (Committee member) / Surbeck, Elaine (Committee member) / Arizona State University (Publisher)
Created2016
Description
ABSTRACT
As a ninth-grade English teacher at Brophy College Preparatory Academy, I always looked toward the end of the school year with a certain amount of anticipation and trepidation. The anticipation celebrated students who had successfully completed their freshman year; whereas the trepidation resulted from the end-of-year memo indicating which students had chosen not to return to Brophy next year. Unfortunately, the latter group included a disproportionate number of Hispanic students from low-SES backgrounds. Given Brophy valued diversity and the terrific abilities of these students, an innovation was devised to foster development of ‘school-navigation’ skills to assist students in adapting to the social and academic demands of the school.
The intervention was rooted in several theoretical frameworks including Bourdieu’s (1977) Cultural Capital Perspective, McMillan and Chavis’ (1986) Sense of Community Theory, and Duckworth’s (2007) Grit Framework. Sixteen freshmen and four 12th-grade mentors participated in the study. The 12-week innovation incorporated four topics—transitioning to high school, learning about strategies for academic success, becoming involved in school culture and community, and working more effectively with teachers. Each topic was considered in a 3-week cycle. During week 1, students participated in a large group discussion about the topic led by the researcher. Subsequently, they wrote in journals to reflect on the topic. During week 2, four small groups of four freshmen and one senior, mentor met to consider the topics. Mentors led discussions and also shared how they had coped with the topic. Again, freshmen wrote in journals. In week 3, freshmen met in a large group with the researcher and shared their reflections and their experiences. In this context, the freshmen learned from each other and realized they were all experiencing similar challenges that could be overcome with grit and a community to support them.
Qualitative results indicated freshmen developed a sense of community, learned to respond in positive ways to failure, and developed academic and social school-navigation skills. Freshmen and mentors became tightly knit communities, texting each other with questions coming from freshmen and responses from mentors. The discussion focused on how the theoretical frameworks were useful in understanding the results.
As a ninth-grade English teacher at Brophy College Preparatory Academy, I always looked toward the end of the school year with a certain amount of anticipation and trepidation. The anticipation celebrated students who had successfully completed their freshman year; whereas the trepidation resulted from the end-of-year memo indicating which students had chosen not to return to Brophy next year. Unfortunately, the latter group included a disproportionate number of Hispanic students from low-SES backgrounds. Given Brophy valued diversity and the terrific abilities of these students, an innovation was devised to foster development of ‘school-navigation’ skills to assist students in adapting to the social and academic demands of the school.
The intervention was rooted in several theoretical frameworks including Bourdieu’s (1977) Cultural Capital Perspective, McMillan and Chavis’ (1986) Sense of Community Theory, and Duckworth’s (2007) Grit Framework. Sixteen freshmen and four 12th-grade mentors participated in the study. The 12-week innovation incorporated four topics—transitioning to high school, learning about strategies for academic success, becoming involved in school culture and community, and working more effectively with teachers. Each topic was considered in a 3-week cycle. During week 1, students participated in a large group discussion about the topic led by the researcher. Subsequently, they wrote in journals to reflect on the topic. During week 2, four small groups of four freshmen and one senior, mentor met to consider the topics. Mentors led discussions and also shared how they had coped with the topic. Again, freshmen wrote in journals. In week 3, freshmen met in a large group with the researcher and shared their reflections and their experiences. In this context, the freshmen learned from each other and realized they were all experiencing similar challenges that could be overcome with grit and a community to support them.
Qualitative results indicated freshmen developed a sense of community, learned to respond in positive ways to failure, and developed academic and social school-navigation skills. Freshmen and mentors became tightly knit communities, texting each other with questions coming from freshmen and responses from mentors. The discussion focused on how the theoretical frameworks were useful in understanding the results.
ContributorsSmith, Steven M. (Author) / Buss, Ray (Thesis advisor) / Zambo, Debby (Committee member) / Donlan, Tom (Committee member) / Arizona State University (Publisher)
Created2017
Description
Expectation for college attendance in the United States continues to rise as more jobs require degrees. This study aims to determine how parental expectations affect high school students in their decision to attend college. By examining parental expectations that were placed on current college students prior to and during the application period, we can determine the positive and negative outcomes of these expectations as well as the atmosphere they are creating. To test the hypothesis, an online survey was distributed to current ASU and Barrett, Honors College students regarding their experience with college applications and their parents' influence on their collegiate attendance. A qualitative analysis of the data was conducted in tandem with an analysis of several case studies to determine the results. These data show that parental expectations are having a significant impact on the enrollment of high school students in college programs. With parents placing these expectations on their children, collegiate enrollment will continue to increase. Further studies will be necessary to determine the specific influences these expectations are placing on students.
ContributorsScheller, Sara Matheson (Co-author) / Johnson, Benjamin (Co-author) / Kappes, Janelle (Thesis director) / Fairbanks, Elizabeth (Committee member) / Division of Teacher Preparation (Contributor) / Barrett, The Honors College (Contributor)
Created2021-05
Description
Studies of discourse are prevalent in mathematics education, as are investigations on facilitating change in instructional practices that impact student attitudes toward mathematics. However, the literature has not sufficiently addressed the operationalization of the commognitive framework in the context of Calculus I, nor considered the inevitable impact on students’ attitudes of persistence, confidence, and enjoyment of mathematics. This study presents an innovation, founded, designed, and implemented, utilizing four frameworks. The overarching theory pivots to commognition, a theory that asserts communication is tantamount to thinking. Students experienced a Calculus I class grounded on four frames: a theoretical, a conceptual, a design pattern, and an analytical framework, which combined, engaged students in discursive practices. Multiple activities invited specific student actions: uncover, play, apply, connect, question, and realize, prompting calculus discourse. The study exploited a mixed-methods action research design that aimed to explore how discursive activities impact students’ understanding of the derivative and how and to what extent instructional practices, which prompt mathematical discourse, impact students’ persistence, confidence, and enjoyment of calculus.
This study offers a potential solution to a problem of practice that has long challenged practitioners and researchers—the persistence of Calculus I as a gatekeeper for Science, Technology, Engineering, and Mathematics (STEM). In this investigation it is suggested that Good and Ambitious Teaching practices, including asking students to explain their thinking and assigning group projects, positively impact students’ persistence, confidence, and enjoyment. Common calculus discourse among the experimental students, particularly discursive activities engaging word use and visual representations of the derivative, warrants further research for the pragmatic utility of the fine grain of a commognitive framework. For researchers the work provides a lens through which they can examine data resulting from the operationalization of multiple frameworks working in tandem. For practitioners, mathematical objects as discursive objects, allow for classrooms with readily observable outcomes.
ContributorsChowdhury, Madeleine Perez (Author) / Judson, Eugene (Thesis advisor) / Buss, Ray (Committee member) / Reinholz, Daniel (Committee member) / Arizona State University (Publisher)
Created2022