Matching Items (2)
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- All Subjects: Rational Number Concepts
- Creators: Judson, Eugene
- Resource Type: Text
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
From Zero Tolerance to Restorative Justice: Implementing Restorative Justice in a High School System
Description
Implementation of large-scale initiatives within educational systems can present many challenges, particularly when the initiative is non-linear and relies on deep understanding rooted in a restorative mindset. This study examined implementation of restorative justice within one large, primarily urban school district in the United States. Through a mixed methods approach, data was collected from three personnel levels of the organization: district leadership, school leadership, and school staff members and applied a sensemaking framework to examine the flow of information and understanding within and among organizational levels. To accomplish this investigation, both qualitative and quantitative data were collected. First, interview data was collected from district and school level leaders to inform supportive leadership actions and organizational structures and also to understand challenges that leaders faced when working to implement restorative justice within a district and across a school campus. Next, school staff members participated in a survey to provide deeper understanding regarding their confidence in implementing restorative justice practices, their perceptions of school and district level administrative support, and the alignment of their beliefs and actions with tenets of restorative justice. Finally, results were analyzed and compared across levels of the organization to provide a summary of findings and recommendations for ongoing and expanded implementation at the school at the focus of the study and across other schools within the district.
ContributorsGaletti, Sarah (Author) / Judson, Eugene (Thesis advisor) / Hermanns, Carl (Committee member) / Schauer, David (Committee member) / Arizona State University (Publisher)
Created2020