Matching Items (8)
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- All Subjects: Communities of practice
- All Subjects: Mathematics Education
- Genre: Academic theses
- 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
Learning a second language has been shown to have many benefits, but in the
state of Arizona the teaching and learning of second languages has been restricted since the passing of Proposition 203. In the past few years, schools offering Dual Language Immersion programs have emerged, but their teachers do not have much experience, training or resources to teach language through content. Language immersion self- efficacy has been shown to be crucial for the teachers to be more effective in their instruction and for them to embrace the challenges they face.
The purpose of this action research study was to increase Spanish immersion teachers' self-efficacy through a community of practice, in which teachers performed peer observations and offered feedback, collaboratively drew from a pool of resources that were available online for all to use, and supported each other in the areas they felt could be improved.
Quantitative data included pre- and post- intervention self-efficacy surveys, as well as a retrospective survey. Qualitative data included audio recordings and field notes from the community of practice sessions, teacher observations, peer observations, and feedback meetings, as well as interviews.
Results from the analysis of data showed an increase of teachers’ self-efficacy because of the close collaboration and resource sharing that took place during the implementation of the community of practice. Teachers also reported positive changes in practice due to peer observations and collegial conversations during meetings, where teachers could acknowledge their own successes and use ideas from others to improve their practice. Finally, despite all the positive outcomes from this action research study, it was evident there were some systemic issues the community of practice could not change, such as the lack of resources and appropriate curriculum for Spanish immersion teachers.
Many parents and educators have agreed our students should have the opportunity of becoming bilingual to face global competition more effectively. Because of that, Spanish immersion schools have been growing in popularity in Arizona. Moreover, it has become clear that as we have more schools and teachers willing to adopt these programs, more resources must be made available to support immersion teachers and their instruction.
state of Arizona the teaching and learning of second languages has been restricted since the passing of Proposition 203. In the past few years, schools offering Dual Language Immersion programs have emerged, but their teachers do not have much experience, training or resources to teach language through content. Language immersion self- efficacy has been shown to be crucial for the teachers to be more effective in their instruction and for them to embrace the challenges they face.
The purpose of this action research study was to increase Spanish immersion teachers' self-efficacy through a community of practice, in which teachers performed peer observations and offered feedback, collaboratively drew from a pool of resources that were available online for all to use, and supported each other in the areas they felt could be improved.
Quantitative data included pre- and post- intervention self-efficacy surveys, as well as a retrospective survey. Qualitative data included audio recordings and field notes from the community of practice sessions, teacher observations, peer observations, and feedback meetings, as well as interviews.
Results from the analysis of data showed an increase of teachers’ self-efficacy because of the close collaboration and resource sharing that took place during the implementation of the community of practice. Teachers also reported positive changes in practice due to peer observations and collegial conversations during meetings, where teachers could acknowledge their own successes and use ideas from others to improve their practice. Finally, despite all the positive outcomes from this action research study, it was evident there were some systemic issues the community of practice could not change, such as the lack of resources and appropriate curriculum for Spanish immersion teachers.
Many parents and educators have agreed our students should have the opportunity of becoming bilingual to face global competition more effectively. Because of that, Spanish immersion schools have been growing in popularity in Arizona. Moreover, it has become clear that as we have more schools and teachers willing to adopt these programs, more resources must be made available to support immersion teachers and their instruction.
ContributorsSalas, Raquel (Author) / Bertrand, Melanie (Thesis advisor) / Buss, Ray R. (Committee member) / Hightower, Guadalupe (Committee member) / Arizona State University (Publisher)
Created2016
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
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
Description
.ABSTRACT The Arizona Department of Education (ADE) empowered a task force to design a new instructional model for English Language Development (ELD) students. The task force created a four-hour, language intensive instructional model which required ELD-indentified students to be immersed in grammar, reading, pre-writing, vocabulary and oral English conversation. This model also mandated a specific number of instructional minutes were to be assigned to each of the model's five components. Moreover, these instructional minutes were to be accounted for by ELD teachers as they developed lesson plans to teach these students. To address the substantial professional development requirements entailed by these mandates, Wenger's Community of Practice (CoP) framework was employed. A CoP was formed to assist nine ELD teachers to (a) meet mandates of the instructional model, (b) participate in professional development opportunities to gain language-based instructional strategies, (c) plan lessons together and eventually, (d) allow them to become more efficacious in their abilities to meet and implement the mandated ADE Sheltered English Instruction (SEI) instructional model developed by the ADE task force. Quantitative and qualitative data were gathered throughout the study by means of a pre- and post-questionnaire, audio taping and transcribing CoP sessions and field notes. Findings suggest the CoP served as an effective forum for increasing ELD teachers' sense of efficacy towards becoming an effective ELD teacher. Moreover, the CoP helped increase understanding of the requirements of the instructional model, participate in professional development specific to their needs and collaborate, which was largely responsible for increasing teacher efficacy.
ContributorsPederson, Susan (Author) / Buss, Ray (Thesis advisor) / Zambo, Ronald (Committee member) / Hightower, Guadalupe (Committee member) / Arizona State University (Publisher)
Created2011
Description
Health science students like students in many disciplines exhibit difficulty with transferring content from one course to another. For example, the problem explored in this study occurred when overlapping concepts were presented in introductory biology and chemistry courses, but students could not transfer the concepts to the other disciplinary course. In this mixed method action research study, the author served as facilitator/leader of a group of colleagues tasked with investigating and taking steps to resolve this student learning transfer problem. This study outlines the details of how an interdisciplinary community of practice (CoP) formed between chemistry and biology faculty members at a community college to address the problem and the benefits resulting from the CoP. Quantitative and qualitative data were obtained from transcripts of meetings of the faculty members, notes from other formal and informal meetings, classroom visits, a questionnaire containing Likert and open-ended items and interviews. Transcripts, notes, and interviews were coded to determine common themes. Findings suggested the CoP was an effective means to deal with the matter of student transfer of content across courses. In particular, the CoP agreed to use similar terminology, created materials to be used consistently across the courses, and explored other transfer specific approaches that allowed for transfer of course content. Finally, the benefits of the CoP were due in large part to the collaboration that took place among participants.
ContributorsSteele, Bronwen (Author) / Buss, Ray (Thesis advisor) / Zambo, Ron (Thesis advisor) / Rivera, Rey (Committee member) / Arizona State University (Publisher)
Created2011
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