Matching Items (35)
Description
Industry, academia, and government have spent tremendous amounts of money over several decades trying to improve the mathematical abilities of students. They have hoped that improvements in students' abilities will have an impact on adults' mathematical abilities in an increasingly technology-based workplace. This study was conducted to begin checking for these impacts. It examined how nine adults in their workplace solved problems that purportedly entailed proportional reasoning and supporting rational number concepts (cognates).
The research focused on four questions: a) in what ways do workers encounter and utilize the cognates while on the job; b) do workers engage cognate problems they encounter at work differently from similar cognate problems found in a textbook; c) what mathematical difficulties involving the cognates do workers experience while on the job, and; d) what tools, techniques, and social supports do workers use to augment or supplant their own abilities when confronted with difficulties involving the cognates.
Noteworthy findings included: a) individual workers encountered cognate problems at a rate of nearly four times per hour; b) all of the workers engaged the cognates primarily via discourse with others and not by written or electronic means; c) generally, workers had difficulty with units and solving problems involving intensive ratios; d) many workers regularly used a novel form of guess & check to produce a loose estimate as an answer; and e) workers relied on the social structure of the store to mitigate the impact and defuse the responsibility for any errors they made.
Based on the totality of the evidence, three hypotheses were discussed: a) the binomial aspect of a conjecture that stated employees were hired either with sufficient mathematical skills or with deficient skills was rejected; b) heuristics, tables, and stand-ins were maximally effective only if workers individually developed them after a need was recognized; and c) distributed cognition was rejected as an explanatory framework by arguing that the studied workers and their environment formed a system that was itself a heuristic on a grand scale.
The research focused on four questions: a) in what ways do workers encounter and utilize the cognates while on the job; b) do workers engage cognate problems they encounter at work differently from similar cognate problems found in a textbook; c) what mathematical difficulties involving the cognates do workers experience while on the job, and; d) what tools, techniques, and social supports do workers use to augment or supplant their own abilities when confronted with difficulties involving the cognates.
Noteworthy findings included: a) individual workers encountered cognate problems at a rate of nearly four times per hour; b) all of the workers engaged the cognates primarily via discourse with others and not by written or electronic means; c) generally, workers had difficulty with units and solving problems involving intensive ratios; d) many workers regularly used a novel form of guess & check to produce a loose estimate as an answer; and e) workers relied on the social structure of the store to mitigate the impact and defuse the responsibility for any errors they made.
Based on the totality of the evidence, three hypotheses were discussed: a) the binomial aspect of a conjecture that stated employees were hired either with sufficient mathematical skills or with deficient skills was rejected; b) heuristics, tables, and stand-ins were maximally effective only if workers individually developed them after a need was recognized; and c) distributed cognition was rejected as an explanatory framework by arguing that the studied workers and their environment formed a system that was itself a heuristic on a grand scale.
ContributorsOrletsky, Darryl William (Author) / Middleton, James (Thesis advisor) / Greenes, Carole (Committee member) / Judson, Eugene (Committee member) / Arizona State University (Publisher)
Created2015
Description
The State of Arizona mandates that students with superior intellect or abilities, or identified gifted students, receive appropriate gifted education and services in order to achieve at levels commensurate with their intellect and abilities. Additionally, the State of Arizona adopted the Arizona College and Career Ready Standards (AZCCRS) initiative. This investigation explores if, according to the perceptions of gifted educators, the AZCCRS support a gifted mathematic curriculum and pedagogy at the elementary level which is commensurate with academic abilities, potential, and intellect of these mathematically gifted students, what the relationships are between exemplary gifted curriculum and pedagogy and the AZCCRS, and exactly how the gifted education specialists charged with meeting the academic and intellectual needs and potential of their gifted students interpret, negotiate, and implement the AZCCRS.
This study utilized a qualitative approach and a variety of instruments to gather data, including: profile questionnaires, semi-structured pre-interviews, reflective journals, three group discussion sessions, and semi-structured post interviews. The pre- and post interviews as well as the group discussion sessions were audiotape recorded and transcribed. A three stage coding process was utilized on the questionnaires, interviews, discussion sessions, and journal entries.
The results and findings demonstrated that AZCCRS clearly support exemplary gifted mathematic curriculum and practices at the elementary level, that there are at least nine distinct relationships between the AZCCRS and gifted pedagogy, and that the gifted education specialists interpret, negotiate, and implement the AZCCRS uniquely in at least four distinct ways, in their mathematically gifted pullout classes.
This study utilized a qualitative approach and a variety of instruments to gather data, including: profile questionnaires, semi-structured pre-interviews, reflective journals, three group discussion sessions, and semi-structured post interviews. The pre- and post interviews as well as the group discussion sessions were audiotape recorded and transcribed. A three stage coding process was utilized on the questionnaires, interviews, discussion sessions, and journal entries.
The results and findings demonstrated that AZCCRS clearly support exemplary gifted mathematic curriculum and practices at the elementary level, that there are at least nine distinct relationships between the AZCCRS and gifted pedagogy, and that the gifted education specialists interpret, negotiate, and implement the AZCCRS uniquely in at least four distinct ways, in their mathematically gifted pullout classes.
ContributorsDohm, Dianna (Author) / Carlson, David L. (Thesis advisor) / Barnard, Wendy (Committee member) / Moses, Lindsey (Committee member) / Arizona State University (Publisher)
Created2014
Description
How hard should the books be in elementary small-group reading? This study explored text difficulty for bilingual students reading below grade level in third grade. Using a convergent parallel mixed methods design, I used qualitative methods to analyze students’ engagement and discussion during small groups and single case design to evaluate students’ fluency and reading comprehension after reading and discussing texts in small groups.
Six Spanish-English bilingual students, split into two groups of three, participated in twelve, 30-minute, small-group reading sessions. Students in Group 1 read approximately one year below grade level, and students in Group 2 read approximately a year and a half below grade level. In six of the twelve sessions, students read and discussed texts matched to their reading levels, and in the other six they read and discussed texts one year ahead of their reading levels. I assigned matched and difficult texts across the twelve days by blocked randomization.
I analyzed video transcripts of each session to understand students’ engagement (focus of engagement, strategies, and interaction) and discussion (inferential vs. literal responses, instances of verbal participation). At the end of each session, students reread and retold the book the group had read and discussed that day to produce a fluency (words correct per minute) and comprehension (ideas correctly retold) score.
Findings were complex and revealed that different levels of texts have both advantages and drawbacks. Key findings included: For fluency, half of the students benefited from matched texts. The other half read difficult texts with similar fluency to matched texts. For comprehension, text difficulty did not matter for anyone except one student, and for him it only had an effect on 3 of 12 days. Group 2 engaged much more with texts and ideas in difficult books and with pictures in matched books. Group 1 had more inferential/interpretive responses with matched texts, and Group 2 had more inferential and interpretive responses with difficult texts. Most students participated evenly regardless of the difficulty of the text under discussion. However, two students talked more when discussing matched texts.
Six Spanish-English bilingual students, split into two groups of three, participated in twelve, 30-minute, small-group reading sessions. Students in Group 1 read approximately one year below grade level, and students in Group 2 read approximately a year and a half below grade level. In six of the twelve sessions, students read and discussed texts matched to their reading levels, and in the other six they read and discussed texts one year ahead of their reading levels. I assigned matched and difficult texts across the twelve days by blocked randomization.
I analyzed video transcripts of each session to understand students’ engagement (focus of engagement, strategies, and interaction) and discussion (inferential vs. literal responses, instances of verbal participation). At the end of each session, students reread and retold the book the group had read and discussed that day to produce a fluency (words correct per minute) and comprehension (ideas correctly retold) score.
Findings were complex and revealed that different levels of texts have both advantages and drawbacks. Key findings included: For fluency, half of the students benefited from matched texts. The other half read difficult texts with similar fluency to matched texts. For comprehension, text difficulty did not matter for anyone except one student, and for him it only had an effect on 3 of 12 days. Group 2 engaged much more with texts and ideas in difficult books and with pictures in matched books. Group 1 had more inferential/interpretive responses with matched texts, and Group 2 had more inferential and interpretive responses with difficult texts. Most students participated evenly regardless of the difficulty of the text under discussion. However, two students talked more when discussing matched texts.
ContributorsKelly, Laura Beth (Author) / Jimenez-Silva, Margarita (Thesis advisor) / Moses, Lindsey (Thesis advisor) / Restrepo, Laida (Committee member) / Arizona State University (Publisher)
Created2018
Description
To develop critical reasoning skills potentially advances students' ability to critically consume information, make informed decisions, and actively participate in a democracy. An inquiry-based pedagogical approach to science teaching remains an effective means to develop critical reasoning skills. Participating in scientific inquiry requires students to generate arguments and test alternative hypotheses using experimental evidence. Scientific inquiry demands that students use their critical reasoning skills. Unfortunately, many teachers fail to allocate an adequate amount of time for genuine experimentation in science classes. As a result, science classes often leave students unprepared to think critically and apply their knowledge in a practical manner.
The focus of this study was to investigate the extent to which an inquiry-based professional development experience, including a two-day summer workshop and 18 weeks of follow up Professional Learning Community (PLC) support, affected the attitudes and pedagogical skills regarding scientific inquiry among six high school biology teachers. A concurrent mixed methods, action research design was used to measure changes in teachers' attitudes, perceptions, and skills regarding inquiry-based pedagogy was measured throughout the 22 weeks of the study. A survey instrument, card sorting activity, classroom observations using the Reformed Teacher Observation Protocol (RTOP), individual interviews, and PLC observations were used to gather data. Results indicated the professional development was effective in transforming the participating teachers' attitudes, perceptions, and skills regarding inquiry-based pedagogy.
The focus of this study was to investigate the extent to which an inquiry-based professional development experience, including a two-day summer workshop and 18 weeks of follow up Professional Learning Community (PLC) support, affected the attitudes and pedagogical skills regarding scientific inquiry among six high school biology teachers. A concurrent mixed methods, action research design was used to measure changes in teachers' attitudes, perceptions, and skills regarding inquiry-based pedagogy was measured throughout the 22 weeks of the study. A survey instrument, card sorting activity, classroom observations using the Reformed Teacher Observation Protocol (RTOP), individual interviews, and PLC observations were used to gather data. Results indicated the professional development was effective in transforming the participating teachers' attitudes, perceptions, and skills regarding inquiry-based pedagogy.
ContributorsBlechacz, Sarah (Author) / Hermanns, Carl (Thesis advisor) / Judson, Eugene (Committee member) / Bostick, Bradley (Committee member) / Arizona State University (Publisher)
Created2018
Description
Affirmative action is an education policy adopted by higher education institutions in the 1960s, where an applicant’s race is taken into account to some degree when being evaluated for admission to a college or university. The practice of affirmative action, or race conscious-admissions, has been repeatedly challenged in the legal system and remains a controversial and polarizing topic amongst the general public, campus leaders, and policy makers. Despite a vast amount of research on the effects of affirmative action policies on student and institutional behaviors and outcomes, such as college applications and enrollments, considerably less research has examined students’ attitudes towards race-conscious admissions policies. Even less research has focused on students in academic disciplines, especially STEM or engineering. Likewise, there is a paucity of research that explores students’ perceptions and knowledge of how affirmative action is implemented in practice. To address these gaps, this study investigates undergraduate engineering students’ knowledge of and attitudes towards affirmative action admissions policies in higher education. The Student Attitudes Towards Admissions Policies Survey (SATAPS) was designed to assess students’ knowledge of and attitudes regarding affirmative action practices in higher education admissions. This survey was administered to undergraduate engineering students and a comparison group of education students at 42 colleges/universities in the United States. Data were analyzed utilizing confirmatory factor analysis and hierarchical regression. Results demonstrated that students have low levels of knowledge about affirmative action, and have misconceptions about how the policy functions in practice. There was no difference in engineering and education students’ level of support for affirmative action; however, underrepresented minority students in engineering were more supportive of affirmative action. Results also indicated that students’ beliefs and values were the strongest predictors of attitude towards affirmative action, so much so that this negated the significance of demographic and personal characteristics, which was observed in the majority of previous studies. Results highlight a complicated relationship between demographic characteristics, personal variables, knowledge, institutional context, beliefs/values, and attitude towards affirmative action admissions policies in higher education.
ContributorsRoss, Lydia (Author) / Judson, Eugene (Thesis advisor) / Dorn, Sherman (Committee member) / Powers, Jeanne M. (Committee member) / Arizona State University (Publisher)
Created2019
Description
English Learners (ELs) in mainstream classrooms must overcome additional language barriers to comprehend and master Common Core State Standards in mathematics. I will be working as a teacher after graduation who will provide content-based instruction to ELs in Spain and Phoenix, AZ. As someone who will be graduating with non-education degrees but working in education, it is imperative that I understand the best methods to create a conducive learning environment for simultaneous L2 acquisition and content comprehension. After reviewing previous research, I identified multiple methods that assist ELs in simultaneously acquiring classroom content and improving English Language Proficiency (ELP). I have used these methods to construct three lesson plans that teach three mathematics standards and corresponding ELP standards for third-grade students in Arizona. I analyzed the methods that were used in my lesson plans and expanded upon how they will enhance ELP for ELs in my classroom. I have concluded my report by identifying some shifts in Common Core State Standards and the implications that these shifts have for ELs in mainstream classrooms.
ContributorsDavies, Alec G. (Author) / Silva, Alexandria (Thesis director) / Moses, Lindsey (Committee member) / School of Politics and Global Studies (Contributor) / Department of Finance (Contributor) / Barrett, The Honors College (Contributor)
Created2018-05
Description
This educational case study looked at student engagement and motivation in a collaborative environment, one that provided students the freedom to be critical thinkers and problem solvers. In order to create this collaborative environment, students in a third-grade elementary classroom participated in a Project-Based Learning unit. The unit culminated in hands-on projects. Sociocultural theory and Self Determination theory were used to guide the development of the innovation and the formulation of the research design. The qualitative data collection tools that were used in this study consisted of observations through video and audio recordings, researcher's field notes, student interviews, and artifacts. The artifacts gathered consisted of student journal entries reflecting on their experiences within the innovation and their learning process throughout. Data were collected, transcribed, and analyzed using multiple rounds of both deductive and inductive coding. This research suggests that a Project-Based Learning environment positively impacts student participation both within a single lesson and throughout the unit by increasing students’ background and competence. Additionally, within a Project-Based Learning environment, students co-construct new meaning through goal-oriented group work designed by the teacher. The teacher also supports student thinking through clarifying and questioning statements designed to support students’ learning and development of ideas. Finally, this educational case study suggests that students demonstrate an increase in intrinsic motivation over time as demonstrated by an eagerness to apply their new learning beyond the Project-Based Learning lessons. Students applied the learning within their classroom, school, and even their homes.
ContributorsLund, Stephanie (Author) / Bertrand, Melanie (Thesis advisor) / Imel, Breck (Committee member) / Moses, Lindsey (Committee member) / Arizona State University (Publisher)
Created2016
Description
This dissertation explored how a teacher learned to teach with and about unfamiliar (to her) media texts in her high school English classroom. This study also examined my role as the researcher/mentor in the teacher’s learning and development process. Through situated learning theories (Lave & Wenger, 1991) and discourse through identities (Gee, 2001; 2014a) theoretical frameworks, this study explored the ways the teacher accepted, resisted, and enacted her figured worlds and identities as an English teacher. Historically, texts in the English classroom consist of novels, poems, plays, and the occasional nonfiction book or essay, and English teacher education and development often keeps these texts at the center of English teachers’ content knowledge. However, research exploring students’ use of multiliteracies in out-of-classroom contexts advocates for a multiliteracies perspective within classrooms. Still, there is a lack of professional development opportunities for teachers to support multiliteracies practices in their classrooms. Further, teachers’ professional development is often provided in stand-alone experiences where teachers learn outside of their classroom teaching contexts. Taking place over a six-month time frame, this study is situated as one-on-one professional development mentoring and included researcher and teacher collaboration in multiple contexts including planning, teaching, and reflection. This qualitative case study (Merriam, 1998) sought to address a gap in the literature in how the collaboration of teachers and researchers impacted teacher learning. Using interpretive analysis (Erickson, 1986) and discourse analysis (Gee, 2014a; 2014b) I developed two assertions: (1) The process the teacher underwent from finding resources to teaching and reflection was complex and filled with many phases and challenges, and (2) I, as the researcher/mentor, served as a sounding board and resource for the teacher/learner throughout her process of learning about, teaching with, and reflecting on unfamiliar texts. Findings of this study indicate the teacher’s identities and figured worlds impacted both how she learned about and taught with unfamiliar texts, and how I approached my role as a researcher/mentor in the study. Further, findings also indicate collaborative, practice-based research models (Hinchman & Appleman, 2017) offer opportunities to provide teachers meaningful and impactful professional development experiences situated in classroom contexts.
ContributorsGoff, Maria Hernandez (Author) / Marsh, Josephine P (Thesis advisor) / Blasingame, James (Committee member) / Serafini, Frank (Committee member) / Moses, Lindsey (Committee member) / Arizona State University (Publisher)
Created2017
Description
This study provided Radford University with an opportunity to better understand the motivating behaviors of faculty and staff while distinguishing the strategies that influence their interest in giving or choosing not to give. In this study, I used a mixed-methods approach for data collection to answer my research questions and to inform the development of the Employee Engagement Plan. The quantitative data was obtained through an online survey provided to Radford University faculty and staff; qualitative data were gathered through focus groups with faculty and staff, and peer institution interviews. The four constructs focus on: effective engagement and solicitation strategies of faculty and staff, the value and gratification associated with giving, the significance of understanding the impact of giving, and the likelihood of making a gift. The Theory of Planned Behavior (TPB) guided my thinking and approach to the entire research process. The TPB includes an initial understanding of whether a person feels they know how to complete a certain behavior (action), whether they can do it successfully, and if they have a favorable attitude towards the behavior.
The results indicate there is an immense opportunity to increase faculty and staff giving through making changes to engagement strategies and focusing on the impact of giving. The results show a strong likelihood to give, adding immense value to the timing of the development of the Employee Engagement Plan. Additionally, this study demonstrates the value of connectedness as expressed by respondents and provides the instances where these connections are key. Employees appreciate having multiple options when choosing to support Radford University and their preferred method of giving is discussed. Furthermore, the significance of peer-to-peer engagement and understanding the impact of charitable support and transparency are addressed.
ContributorsLowery, Wendy Ann (Author) / Judson, Eugene (Thesis advisor) / Klotz, Ann Marie (Committee member) / Ross, Lydia (Committee member) / Arizona State University (Publisher)
Created2022
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