Matching Items (9)
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- All Subjects: Education (Higher)
- All Subjects: Mathematics Education
- Genre: Doctoral Dissertation
- Creators: Buss, Ray
- Member of: Theses and Dissertations
- Status: Published
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
How does a university create a culture of affinity where students seek and maintain life-long connections to the institution? The purpose of this action research study was to examine how affinity increased or developed for undergraduate students at the Arizona State University Polytechnic campus through meaningful student-centric activities. Three theoretical frameworks guided the study including the work of Baumeister and Leary, Kuh, and Ajzen.
In this mixed method study, quantitative data about affinity, attitude, toward Arizona State University was collected using pre- and post-intervention surveys and qualitative data were gathered through individual semi-structured interviews at the conclusion of the study. Study participants were degree-seeking, undergraduate students whose degree programs were affiliated with the Polytechnic campus. The study was conducted during the first semester for first-year students. The intervention was implemented over a four-week period and consisted of providing information and opportunities to students to initiate connecting to the institution.
Quantitative data exhibited slight upward changes or slight to modest decreases in the dependent variables between pre- and post-intervention assessments. Qualitative data provided a content-rich explanation that helped in understanding the quantitative results. For example, students indicated high behavioral beliefs, attitudes toward involvement, and intentions. Moreover, they demonstrated high levels of connectedness and loyalty to the institution. Discussion focused on describing the complementarity of the data, explaining outcomes relative to the theoretical frameworks, limitations, implications for practice and future research, and lessons learned.
In this mixed method study, quantitative data about affinity, attitude, toward Arizona State University was collected using pre- and post-intervention surveys and qualitative data were gathered through individual semi-structured interviews at the conclusion of the study. Study participants were degree-seeking, undergraduate students whose degree programs were affiliated with the Polytechnic campus. The study was conducted during the first semester for first-year students. The intervention was implemented over a four-week period and consisted of providing information and opportunities to students to initiate connecting to the institution.
Quantitative data exhibited slight upward changes or slight to modest decreases in the dependent variables between pre- and post-intervention assessments. Qualitative data provided a content-rich explanation that helped in understanding the quantitative results. For example, students indicated high behavioral beliefs, attitudes toward involvement, and intentions. Moreover, they demonstrated high levels of connectedness and loyalty to the institution. Discussion focused on describing the complementarity of the data, explaining outcomes relative to the theoretical frameworks, limitations, implications for practice and future research, and lessons learned.
ContributorsMatos, Maria Regina (Author) / Buss, Ray (Thesis advisor) / Krasnow, Aaron (Committee member) / Givans Voller, Julie (Committee member) / Arizona State University (Publisher)
Created2019
Description
Honors colleges have offered an academically rigorous option for growing numbers of diverse students. This study took place at a large, public university that required undergraduate students to complete a thesis to graduate from the honors college. In 2017, 97% of students who began the honors thesis prior to senior year completed it. Thus, the aim of this study was to help more students begin the honors thesis process early.
Thesis Launch was a six-week intervention that was designed to provide support for students in the critical early steps of thesis work such as brainstorming topics, examining professors’ research interests, reaching out to professors, preparing for meetings with potential thesis committee members, and writing a thesis prospectus. Thesis Launch offered web-based resources, weekly emails and text message reminders, and was supplemented by in-person advising options.
A mixed methods action research study was conducted to examine: (a) students’ perceptions of barriers that prevented beginning thesis work; (b) self-efficacy towards thesis work; (c) how to scale the intervention using technology; and (d) whether participants began the thesis early. Quantitative data was collected via pre- and post-intervention surveys, journals, and prospectus submissions. Qualitative data came from student interviews, journals, and open-ended questions on the surveys.
Quantitative data showed that after students participated in Thesis Launch, they had higher self-efficacy to work with professors, perceived fewer barriers to thesis work, and greater proportions of students began thesis work early. The qualitative data were complementary and showed that participants overcame barriers to thesis initiation, built self-efficacy, preferred an online intervention, and began thesis work early. Findings also showed that a primarily technology-based intervention was preferred by students and showed promise for scaling to a larger audience.
Thesis Launch provided a framework for students to begin work on the honors thesis and have mastery experiences to build self-efficacy. Strategies that fostered “small wins” and reflective efforts also assisted in this aim. Participants accomplished tasks tied to thesis work and customized their personal thesis timelines based on work begun during Thesis Launch. Finally, a discussion of limitations, implications for practice and research, and personal reflection was included.
Thesis Launch was a six-week intervention that was designed to provide support for students in the critical early steps of thesis work such as brainstorming topics, examining professors’ research interests, reaching out to professors, preparing for meetings with potential thesis committee members, and writing a thesis prospectus. Thesis Launch offered web-based resources, weekly emails and text message reminders, and was supplemented by in-person advising options.
A mixed methods action research study was conducted to examine: (a) students’ perceptions of barriers that prevented beginning thesis work; (b) self-efficacy towards thesis work; (c) how to scale the intervention using technology; and (d) whether participants began the thesis early. Quantitative data was collected via pre- and post-intervention surveys, journals, and prospectus submissions. Qualitative data came from student interviews, journals, and open-ended questions on the surveys.
Quantitative data showed that after students participated in Thesis Launch, they had higher self-efficacy to work with professors, perceived fewer barriers to thesis work, and greater proportions of students began thesis work early. The qualitative data were complementary and showed that participants overcame barriers to thesis initiation, built self-efficacy, preferred an online intervention, and began thesis work early. Findings also showed that a primarily technology-based intervention was preferred by students and showed promise for scaling to a larger audience.
Thesis Launch provided a framework for students to begin work on the honors thesis and have mastery experiences to build self-efficacy. Strategies that fostered “small wins” and reflective efforts also assisted in this aim. Participants accomplished tasks tied to thesis work and customized their personal thesis timelines based on work begun during Thesis Launch. Finally, a discussion of limitations, implications for practice and research, and personal reflection was included.
ContributorsEardley, Trisha Lynn (Author) / Buss, Ray (Thesis advisor) / Henderson, Mark (Committee member) / Johnson, Melissa (Committee member) / Arizona State University (Publisher)
Created2019
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
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
Description
The purpose of this action research study was to implement and analyze an intervention designed to improve perceptions of working with others as well as practice and improve emotional tools related to such interactions through the systematic development of ability emotional intelligence (EI) related skills. The present study sought to: (1) explore high school students’ perceptions of their role as part of a team during teamwork; (1a) investigate how perceptions differed by EI level; (2) examine how students’ perceptions of their role in teamwork were influenced by being paired with more advanced (ability EI) peers or less advanced peers, based on ability emotional intelligence test scores; (3) determine if ability emotional intelligence related skills could be developed over the course of a 7-week intervention.
The intervention took place in a 12th grade US Government & Economics classroom with 34 participants for examination of general trends, and 11 focal participants for focused and in-depth analysis. Students were taught about emotion theory and engaged in two weeks of ability emotional intelligence skills training, followed by a five-week project cycle in which students were required to work together to achieve a common goal. The research design was mixed methods convergent parallel. Quantitative data were collected from post- and retrospective pre-intervention surveys regarding student perceptions about working with others and their ability EI related skills. Qualitative data were collected through on-going student reflective journal entries, observational field notes, and interviews with the focal group of participants.
Results suggested the intervention had a significant effect on students’ perceptions of working with others and perceived ability emotional intelligence related skills. Significant positive change was found through quantitative data analysis, revealing students’ perceptions about working with others in teams had improved as a result of the intervention as had their perceptions about their ability EI related skills. Qualitative analysis revealed rich, thick descriptions exploring this shift in perception among the 11 focal students, providing the evidence necessary to support the effectiveness of the intervention. Results suggested the possibilities for improved teamwork in the classroom.
The intervention took place in a 12th grade US Government & Economics classroom with 34 participants for examination of general trends, and 11 focal participants for focused and in-depth analysis. Students were taught about emotion theory and engaged in two weeks of ability emotional intelligence skills training, followed by a five-week project cycle in which students were required to work together to achieve a common goal. The research design was mixed methods convergent parallel. Quantitative data were collected from post- and retrospective pre-intervention surveys regarding student perceptions about working with others and their ability EI related skills. Qualitative data were collected through on-going student reflective journal entries, observational field notes, and interviews with the focal group of participants.
Results suggested the intervention had a significant effect on students’ perceptions of working with others and perceived ability emotional intelligence related skills. Significant positive change was found through quantitative data analysis, revealing students’ perceptions about working with others in teams had improved as a result of the intervention as had their perceptions about their ability EI related skills. Qualitative analysis revealed rich, thick descriptions exploring this shift in perception among the 11 focal students, providing the evidence necessary to support the effectiveness of the intervention. Results suggested the possibilities for improved teamwork in the classroom.
ContributorsZuniga, Alison Kara (Author) / Bertrand, Melanie (Thesis advisor) / Buss, Ray (Committee member) / Caruso, David (Committee member) / Arizona State University (Publisher)
Created2019
Description
There has been an ever-increasing demand in the United States to produce educated science, technology, engineering and mathematics (STEM) professionals. Because more women and minority students have begun their higher educational preparation at community colleges, these institutions have been uniquely positioned to support these students and increase the number of STEM graduates. Nevertheless, to attain this commendable goal, community college staff and faculty members will need to redouble their efforts to provide active and sustained programs and interventions to support and assure student persistence in STEM fields.
To address the problem of practice, the researcher engaged in a variety of validating practices to influence women and minority students’ intent to persist in a STEM degree. Thirteen, first-year women and minority students participated in the study. Validation theory (Rendón, 1994) provided a framework to inform the intervention and forms of validation. The validating practices included two advising visits and intentional email communications to students in their first semester at community college.
A mixed methods approach was employed to examine two objectives: (a) the types of validation students experienced in their first semester and (b) the influence of validating advising practices on intention to persist in STEM. The Theory of Planned Behavior (TPB; Ajzen, n.d.) guided study efforts in relation to the second objective. Data gathered included survey data, interviews, email communications, and researcher journal entries. Results suggested students experienced academic and interpersonal validation by in-class and out-of-class validating agents. Although not all experiences were validating, students were validated to a greater extent by their academic advisor. Because of validating advising practices, students in this study developed confidence in their ability to be capable college students. Students also felt motivated and expressed intentions to persist toward a STEM degree.
The discussion focuses on explaining outcomes of the four research questions by connecting to the extant literature. In addition, limitations of the study are presented. Finally, implications for practice, implications for future research, and lessons learned are also shared.
To address the problem of practice, the researcher engaged in a variety of validating practices to influence women and minority students’ intent to persist in a STEM degree. Thirteen, first-year women and minority students participated in the study. Validation theory (Rendón, 1994) provided a framework to inform the intervention and forms of validation. The validating practices included two advising visits and intentional email communications to students in their first semester at community college.
A mixed methods approach was employed to examine two objectives: (a) the types of validation students experienced in their first semester and (b) the influence of validating advising practices on intention to persist in STEM. The Theory of Planned Behavior (TPB; Ajzen, n.d.) guided study efforts in relation to the second objective. Data gathered included survey data, interviews, email communications, and researcher journal entries. Results suggested students experienced academic and interpersonal validation by in-class and out-of-class validating agents. Although not all experiences were validating, students were validated to a greater extent by their academic advisor. Because of validating advising practices, students in this study developed confidence in their ability to be capable college students. Students also felt motivated and expressed intentions to persist toward a STEM degree.
The discussion focuses on explaining outcomes of the four research questions by connecting to the extant literature. In addition, limitations of the study are presented. Finally, implications for practice, implications for future research, and lessons learned are also shared.
ContributorsSanchez, Nuria Maria (Author) / Buss, Ray (Thesis advisor) / Sampson, Carrie (Committee member) / Lara, Ernest (Committee member) / Arizona State University (Publisher)
Created2020