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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

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.
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
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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

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.
ContributorsVawter, Katherine (Author) / Kulinna, Pamela (Thesis advisor) / Buss, Ray (Committee member) / Potts, Shelly (Committee member) / Arizona State University (Publisher)
Created2018
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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

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.
ContributorsMeylani, Rusen (Author) / Bitter, Gary G. (Thesis advisor) / Legacy, Jane (Committee member) / Buss, Ray (Committee member) / Arizona State University (Publisher)
Created2016
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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

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.
ContributorsCavanagh, Mary Clare (Author) / Greenes, Carole E. (Thesis advisor) / Buss, Ray (Committee member) / Surbeck, Elaine (Committee member) / Arizona State University (Publisher)
Created2016
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Description
ABSTRACT



Although it is generally acknowledged that a college degree is foundational to achieving success in the 21st century, only 19.5% of those entering public community colleges graduate with an associate's degree within three years (NCES, 2014). Many challenges have impeded students including being underprepared to transition from

ABSTRACT



Although it is generally acknowledged that a college degree is foundational to achieving success in the 21st century, only 19.5% of those entering public community colleges graduate with an associate's degree within three years (NCES, 2014). Many challenges have impeded students including being underprepared to transition from high school to college, being a first-generation college student, and having limited support networks.

The purpose of this action research project was to implement a college-going readiness program designed to increase the social and personal readiness of high school students making the transition from high school to college. The College Transition Project, the intervention, offered a series of face-to-face class sessions for students and online supplemental materials for students and parents (a) guiding and assisting students in navigating the college system, (b) improving social readiness, and (c) increasing goal setting, time management, communication, and stress management. The curriculum was designed to include key topics including potential pitfalls or challenges common to previously unsuccessful college students. Goal orientation, co-regulation, and self-regulation theories provided frameworks supporting the intervention. Over a five-week period, an instructor taught students who received information on these topics; while students and parents could review online resources at any time.

A concurrent mixed methods research design was employed and data included pre- and post-intervention surveys, field notes, and post-intervention interviews. Results indicated some modest outcomes were attained. Quantitative results indicated no changes in various study measures. By comparison, qualitative data showed students: recognized the usefulness of co-regulation as it related to college preparedness, realized self-regulation efforts would aid their transition to college, and developed some college navigation skills that would facilitate transition to college. Most students acknowledged the need to identify goals, engage in self-regulation, and practice self-efficacy as critical components for students transitioning from high school to college. The discussion explained the outcomes in terms of the theoretical frameworks. Implications focused on additional ways to develop self-efficacy and employ co-regulated activities and relationship building to aid in developing motivation and to nurture emerging identities in students who were transitioning from high school to college.
ContributorsSanchez, Luís, Ed.D (Author) / Buss, Ray (Thesis advisor) / Gonzales, Steven (Committee member) / Span, Derrick (Committee member) / Arizona State University (Publisher)
Created2017
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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

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.
ContributorsSmith, Steven M. (Author) / Buss, Ray (Thesis advisor) / Zambo, Debby (Committee member) / Donlan, Tom (Committee member) / Arizona State University (Publisher)
Created2017
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Description
A sequential mixed-methods action research study was undertaken with a group of 10th-grade students enrolled in a required English course at an independent secondary school. The purpose of the study was to investigate students' negotiation of agentic writer identity in a course that featured a three-strand intervention: (a) a high

A sequential mixed-methods action research study was undertaken with a group of 10th-grade students enrolled in a required English course at an independent secondary school. The purpose of the study was to investigate students' negotiation of agentic writer identity in a course that featured a three-strand intervention: (a) a high degree of student choice; (b) ongoing written self-reflection; and (c) ongoing instruction in mindset. The researcher drew on self-determination theory and identity theory to operationalize agentic writer identity around three constructs—behaviors, identity, and belief. A questionnaire was used to identify an array of cases that would illustrate a range of experiences around agentic writer identity. Questionnaire data were analyzed to identify a sample from which to collect qualitative data and to identify prominent central relations among the three constructs, which were further explored in the second stage through the qualitative data. Qualitative data were gathered from a primary group of six students in the form of student journals and interviews around the central constructs of writing belief, writing behavior, and writer identity. Using a snowballing sampling method, four students were added to the sample group to form a second tier of data. The corpus of qualitative data from all 10 students was coded and analyzed using the technique of re-storying to produce a narrative interpretation, in the style of the Norse saga, of students' engagement in agentic writing behaviors, espousal of agentic writing beliefs, and construction of agentic writer identities. A defense of the chosen narrative approach and genre was provided. Interpretation of the re-storied data was provided, including discussion of interaction among themes that emerged from the data and the re-storying process. Emergent themes and phenomena from the re-storied data were realigned with the quantitative data as well as with the constructs that informed the survey design and sampling. Implications for classroom teachers, as well as suggestions for further research, were suggested.
ContributorsAvery, Andrea, 1977- (Author) / Buss, Ray (Thesis advisor) / Carlson, David L. (Committee member) / Henriksen, Danah (Committee member) / Rende, Richard (Committee member) / Arizona State University (Publisher)
Created2017
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Description
The National Association of Community College Teacher Education Programs (NACCTEP) was established to promote the community college role in the recruitment, preparation, retention, and renewal of teachers. NACCTEP is led by a 13-member executive board consisting of community college teacher education administrators and faculty members from across the United States.

The National Association of Community College Teacher Education Programs (NACCTEP) was established to promote the community college role in the recruitment, preparation, retention, and renewal of teachers. NACCTEP is led by a 13-member executive board consisting of community college teacher education administrators and faculty members from across the United States. Board members expressed concern that their first year consisted of them trying to learn their role as a board member including how to participate in board activities. By the time they became fully knowledgeable about their role and became more active participants, their two-year term was completed. They also indicated that initially they felt disconnected from veteran board members. To address this issue, an orientation/leadership suite was developed for new board members to assist them in transitioning from peripheral roles to full active roles. The suite included activities such as an association orientation web page, participation in monthly board conference calls, a face-to-face leadership session, and mentoring by veteran board members. The communities of practice (CoP) framework shaped this action research study and the activities of the suite were designed to foster a CoP. This action research study utilized a mixed-method research approach in which both qualitative and quantitative instruments were used to gather data. The descriptive statistics indicated that on average, new board members perceived mentoring was effective, understood their role on the board, experienced a sense of a community of practice, considered themselves as active on the board, and believed the leadership orientation suite was effective. An analysis of the qualitative data resulted in four themes: community, communication, participation, and efficacy. Overall, the findings indicated that the new board member orientation/leadership suite assisted new board members transition from peripheral roles to active leadership roles through developing a sense of community; facilitating and sustaining communication; defining, supporting, and encouraging participation; and increasing efficacy in their roles. Through the learning of their roles, the new board members became knowledgeable, comfortable, and confident in serving as board members, which facilitated their participating in the NACCTEP board's CoP.
ContributorsOstos, Ray A (Author) / Buss, Ray (Thesis advisor) / Barnett, Joshua (Committee member) / De Los Santos, Gerardo (Committee member) / Arizona State University (Publisher)
Created2013
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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

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
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Description
Concert band classes have been part of the schooling landscape in Canada and the United States since the early 1900’s. Nevertheless, the context in which concert band classes have been offered recently has undergone a dramatic change. Typically, concert band classes have been offered as an elective course in schools,

Concert band classes have been part of the schooling landscape in Canada and the United States since the early 1900’s. Nevertheless, the context in which concert band classes have been offered recently has undergone a dramatic change. Typically, concert band classes have been offered as an elective course in schools, but more recently, concert band classes in some school settings have been required, especially at the beginning level. Because of the required band class context, it can no longer be assumed students in such band classes have the same music making goals exhibited by earlier generations of students. Persistence, resilience, engagement and musical self-efficacy have been affected when choice was no longer afforded. This study was conducted to examine how goal setting strategies influenced student persistence, resilience, engagement, and musical self-efficacy within a required beginning concert band class. Framed by Bandura’s Self-Efficacy Theory, Bronfenbrenner’s Ecological Systems Theory, and Tinto’s research on persistence, a goal setting intervention was devised and offered to students taking a required grade 6 beginning band classes at an independent school in Ontario. Using a concurrent mixed method framework, quantitative and qualitative data were collected. Results from the quantitative data indicated no changes in the outcome measures. By comparison, qualitative data indicated persistence, resilience, engagement, and musical self-efficacy were influenced when using the goal setting tools. From students’ perspectives, musical self-efficacy and personal self-efficacy were realized through grade attainment, music notation fluency, rhythmic accuracy goals established on students’ weekly goal charts, and goal setting mind maps. Persistence and resilience were influenced as students overcame physical challenges through scaffolding their practice efforts by creating individualized practice regimens. Engagement was influenced through the goal setting intervention as students set goals such as performing for others—be it peers, family, or their teachers. In terms of future research and practice, cycles of action research would include expanding the goal setting intervention to include creating differentiated music making experiences alongside the traditional concert band genre, based upon principles drawn from a community music making contexts—specifically those involving collaborative music making like those experienced in Samba band ensembles. Recommendations for such experiences were shared.
ContributorsMantie, Angela (Author) / Buss, Ray (Thesis advisor) / Schmidt, Margaret (Committee member) / Brewer, Wesley (Committee member) / Arizona State University (Publisher)
Created2019