Open Access. Powered by Scholars. Published by Universities.®

Education Commons

Open Access. Powered by Scholars. Published by Universities.®

Physical Sciences and Mathematics

Institution
Keyword
Publication Year
Publication
Publication Type
File Type

Articles 1 - 30 of 11495

Full-Text Articles in Education

A Generalized Method Of Undetermined Coefficients, James S. Cook, William J. Cook Sep 2022

A Generalized Method Of Undetermined Coefficients, James S. Cook, William J. Cook

CODEE Journal

The method of undetermined coefficients is used to solve constant coefficient nonhomogeneous differential equations whose forcing function is itself the solution of a homogeneous constant coefficient differential equation. In this paper, we show that the classical methods for tackling constant coefficient equations, including the method of undetermined coefficients, generalize to much wider class linear differential equations which, for example, include Cauchy-Euler type equations. This general method includes an explicit construction of the fundamental solution sets of such equations. We also briefly consider where this method can be applied by producing the most general second and third order differential equations that ...


Applying Expansive Framing To An Integrated Mathematics-Computer Science Unit, Kimberly Evagelatos Beck, Jessica F. Shumway Sep 2022

Applying Expansive Framing To An Integrated Mathematics-Computer Science Unit, Kimberly Evagelatos Beck, Jessica F. Shumway

Publications

In this research report for the National Council of Teachers of Mathematics 2022 Research Conference, we discuss the theory of Expansive Framing and its application to an interdisciplinary mathematics-computer science curricular unit.


Using Natural Language Processing To Increase Modularity And Interpretability Of Automated Essay Evaluation And Student Feedback, Chris Roche, Nathan Deinlein, Darryl Dawkins, Faizan Javed Sep 2022

Using Natural Language Processing To Increase Modularity And Interpretability Of Automated Essay Evaluation And Student Feedback, Chris Roche, Nathan Deinlein, Darryl Dawkins, Faizan Javed

SMU Data Science Review

For English teachers and students who are dissatisfied with the one-size-fits-all approach of current Automated Essay Scoring (AES) systems, this research uses Natural Language Processing (NLP) techniques that provide a focus on configurability and interpretability. Unlike traditional AES models which are designed to provide an overall score based on pre-trained criteria, this tool allows teachers to tailor feedback based upon specific focus areas. The tool implements a user-interface that serves as a customizable rubric. Students’ essays are inputted into the tool either by the student or by the teacher via the application’s user-interface. Based on the rubric settings, the ...


“Math Talks Are Like An Alarm Clock Waking You Up”: Language’S Crucial Role In Mathematics, Gabriella M. Wasser Sep 2022

“Math Talks Are Like An Alarm Clock Waking You Up”: Language’S Crucial Role In Mathematics, Gabriella M. Wasser

Journal of Practitioner Research

Whole group math talks, or number talks, are a common practice to get students talking about their own understanding of mathematical concepts. The purpose of this study was to implement math talks in small group settings to see what would happen, specifically to students’ conceptual understanding as well their general perceptions of math talks. This study took place in a fourth-grade math classroom, and math talks were implemented with the whole class for a week and then moved to small groups for the remaining three weeks of the study. During the study, a pre-and post-assessment was given, field notes were ...


The Global Climate Change Knowledge And Practices Of 4-H And Extension Youth Educators, Roberta H. Hunter, Hui-Hui Wang, Bryanna J. Nelson, Devarati Bhattacharya Sep 2022

The Global Climate Change Knowledge And Practices Of 4-H And Extension Youth Educators, Roberta H. Hunter, Hui-Hui Wang, Bryanna J. Nelson, Devarati Bhattacharya

Journal of International Agricultural and Extension Education

4-H and Extension educators who work with youth are uniquely positioned to help them meaningfully learn about global climate change (GCC) in a way that connects to their everyday lives and interests. Yet we don’t have a baseline understanding of these educators’ knowledge of GCC or how they teach about it. This paper presents brief findings of a study intended to fill that gap in knowledge. Educators from six states responded to an online survey in 2020. GCC knowledge varied by topic and by educator instructional focus, with STEM and Civic Engagement educators scoring highest. Questions about greenhouse gasses ...


The Commons: Volume 3, Issue 1, Kris Bohnenstiehl, Leona Derango, Ethan Stern-Ellis Aug 2022

The Commons: Volume 3, Issue 1, Kris Bohnenstiehl, Leona Derango, Ethan Stern-Ellis

The Commons: Puget Sound Journal of Politics

Table of Contents

  • Letter From the Editors
    LILA BERNARDIN AND HANNAH WILLIAMS
  • Who Sent the Devil Down to Georgia?
    KRIS BOHNENSTIEHL
  • The Dehumanizing Gaze: Race in the Context of Academic Tourism
    LEONA DERANGO
  • Balancing Populations of Electoral Districts
    ETHAN STERN-ELLIS


Multidisciplinarity In Data Science Curricula, Hossana Twinomurinzi, Siyabonga Mhlongo, Kelvin J. Bwalya, Tebogo Bokaba, Steven Mbeya Aug 2022

Multidisciplinarity In Data Science Curricula, Hossana Twinomurinzi, Siyabonga Mhlongo, Kelvin J. Bwalya, Tebogo Bokaba, Steven Mbeya

African Conference on Information Systems and Technology

This paper sought to identify and compare disciplinary emphases in data science curricula across South Africa’s 26 public universities using a website scoping review method. The key findings reveal that only 12 of the 26 universities offer data science programmes that are publicly accessible on their websites. Of those 12, only 5 offer data science at the undergraduate level, and these undergraduate programmes are objectified (entirely leaning) to the science, technology, engineering, and mathematics (STEM) disciplines. Only seven of the universities offer a few non-STEM subjects with only one offering more non-STEM subjects compared to STEM subjects. The implications ...


Adapting An Online Learning Quality Assurance Framework In A Developing Country Setting: The Case Of A Hei In Malawi, Bennett Kankuzi, Menard Phiri, Robert Chanunkha, Jonathan Makuwira, Paul Makocho Aug 2022

Adapting An Online Learning Quality Assurance Framework In A Developing Country Setting: The Case Of A Hei In Malawi, Bennett Kankuzi, Menard Phiri, Robert Chanunkha, Jonathan Makuwira, Paul Makocho

African Conference on Information Systems and Technology

Covid-19 prompted many higher education institutions (HEIs), even in developing countries like Malawi, to abruptly shift from their traditional face-to-face mode of delivery to online learning. However, quality issues with online learning remain one of the greatest challenges to acceptance of online learning by many students and stakeholders. This paper presents an action research based study at the Malawi University of Science and Technology, in which an online learning quality assurance framework is adapted to a developed country setting. The adapted framework builds on the Online Learning Consortium (OLC) Quality Scorecard for the Administration of Online Programs. The contextualization and ...


Enhancing Chemistry Education Through Team-Based Active Learning Strategies, Katelyn Helka Aug 2022

Enhancing Chemistry Education Through Team-Based Active Learning Strategies, Katelyn Helka

Undergraduate Student Research Internships Conference

Retention in STEM can be impacted by different psychosocial factors like sense of belonging, STEM identity, sense of community, and sense of support. The research conducted was used to design a study that will measures these psychosocial factors at the beginning and end of a first-year, general chemistry course. The research also aimed to determine the best active learning method to implement in the general chemistry course, that has over 2000 students enrolled in it, that could improve student feelings towards these psychosocial factors.


Mathspark: Sparking Student Curiosity Through Hands-On, Inquiry-Based Mathematics Explorations Inspired By Funds Of Knowledge, Katrina Baha, Kaliyah Clyde, Mikaela Morris, Perla Myers Phd, Amanda Ruiz Phd Aug 2022

Mathspark: Sparking Student Curiosity Through Hands-On, Inquiry-Based Mathematics Explorations Inspired By Funds Of Knowledge, Katrina Baha, Kaliyah Clyde, Mikaela Morris, Perla Myers Phd, Amanda Ruiz Phd

Research Week

Abstract: Much of the existing research focuses on the questions teachers ask students, but there is very little information about the questions students ask. The main purpose of this research was to explore ways to engage students in asking their own questions in the learning of mathematics, and to create a scale to help educators categorize the types of questions students ask. We created and used inquiry-based, funds of knowledge-rich lessons with productive struggle opportunities to promote curiosity (Calleja, 2016) and elicit student questions to develop and test our question categorization scale.


A Qualitative Look Into Repair Practices, Jumana Labib Aug 2022

A Qualitative Look Into Repair Practices, Jumana Labib

Undergraduate Student Research Internships Conference

This research poster is based on a working research paper which moves beyond the traditional scope of repair and examines the Right to Repair movement from a smaller, more personal lens by detailing the 6 categorical impediments as dubbed by Dr. Alissa Centivany (design, law, economic/business strategy, material asymmetry, informational asymmetry, and social impediments) have continuously inhibited repair and affected repair practices, which has consequently had larger implications (environmental, economic, social, etc.) on ourselves, our objects, and our world. The poster builds upon my research from last year (see "The Right to Repair: (Re)building a better future"), this ...


Building Intrapersonal Competencies In The First-Year Experience: Utilizing Random Forest, Cluster Analysis, And Linear Regression To Identify Students’ Strengths And Opportunities For Institutional Improvement, Marilee Bresciani Ludvik, Shiming Zhang, Sandra Kahn, Nina Potter, Lisa Richardson-Gates, Stephen Schellenberg, Robyn Saiki, Nasima Subedi, Rebecca Harmata, Rey Monzon, Randy Timm, Jeanne Stronach, Anna Jost Aug 2022

Building Intrapersonal Competencies In The First-Year Experience: Utilizing Random Forest, Cluster Analysis, And Linear Regression To Identify Students’ Strengths And Opportunities For Institutional Improvement, Marilee Bresciani Ludvik, Shiming Zhang, Sandra Kahn, Nina Potter, Lisa Richardson-Gates, Stephen Schellenberg, Robyn Saiki, Nasima Subedi, Rebecca Harmata, Rey Monzon, Randy Timm, Jeanne Stronach, Anna Jost

Practical Assessment, Research, and Evaluation

Leveraging research that illustrates the importance of intrapersonal competency cultivation and its correlation with institutional performance indicators of student success such as end-of-term cumulative GPA, persistence, and academic probation, our team set out to conduct an analysis on the effectiveness of a 1-unit credit/no-credit first-semester, first-year student seminar course. The course was designed to cultivate specific intrapersonal competency gains using a pre- and post-assessment design. Using a supervised Random Forest method and cluster analysis, the team expected to find unique differences in intrapersonal competency pre-, matched pre- and post-, and post-assessment inventory scores in a way where course design ...


Perspectives On Sustainability In Short-Term Faculty-Led Programs, Amanda Staton Aug 2022

Perspectives On Sustainability In Short-Term Faculty-Led Programs, Amanda Staton

Capstone Collection

Sustainability is a relatively new topic to the field of International Education. Despite this, its importance is tantamount for the continuation of the industry for future generations. The industry’s significant negative environmental impacts from international student mobility poses a real barrier to the continuation of the industry due to climate change. This research emerged due to the lack of existing research on sustainability in Study Abroad, especially short-term faculty-led programs, which are currently the most popular modality of Study Abroad. Short-term faculty-led programs currently hold a reputation in existing literature for being the most unsustainable form of Study Aboard ...


Intersections Of Environmentalism, Chemistry, And Racism: An Experimental Study Of Halobenzene Hydrogenolysis And Critical Communication Studies Of Equitable Learning Practices Rooted In Black Feminism, Lauren O. Babb Aug 2022

Intersections Of Environmentalism, Chemistry, And Racism: An Experimental Study Of Halobenzene Hydrogenolysis And Critical Communication Studies Of Equitable Learning Practices Rooted In Black Feminism, Lauren O. Babb

Electronic Theses and Dissertations

Increasing concentrations of fluorinated aromatic compounds in surface water, groundwater, and soil pose threats to the environment. Fundamental studies that elucidate mechanisms of dehalogenation for C-X compounds (where X represents a halide) are required to develop effective remediation strategies. For halogenated benzenes, previously published research has suggested that the strength of the C-X bond is not rate-determining in the overall rate of dehalogenation. Instead, the rate-determining step has been hypothesized to be adsorption of the C-X compound onto the surface of a catalyst. Building on this hypothesis, in this work, we examine the reaction kinetics of fluorobenzene conversion to benzene ...


Collaboration In Mathematics Teacher Education: The What, How, And Why Of Mathematical Modeling, Aubrey Neihaus, Amy Bennett Aug 2022

Collaboration In Mathematics Teacher Education: The What, How, And Why Of Mathematical Modeling, Aubrey Neihaus, Amy Bennett

The Advocate

In this paper, we share our collaboration across the disciplines of mathematics and mathematics education to develop and implement a mathematical modeling task for prospective secondary mathematics teachers. Through this collaboration, we identified three key components of mathematical modeling: the what, how, and why. In this paper, we outline these components from the literature and how each framed our development and implementation of the Sprinkler Task in our mathematics content and mathematics methods courses for secondary teachers. These three components show that mathematical modeling is a particularly fruitful space for collaboration between the disciplines of mathematics and mathematics education in ...


Science Education To The Rescue? Assessing The Relationship Between Scientific Literacy And Carbon Emissions, Anthony Schmidt Aug 2022

Science Education To The Rescue? Assessing The Relationship Between Scientific Literacy And Carbon Emissions, Anthony Schmidt

Doctoral Dissertations

Human activities have radically changed the climate, negatively impacting all life on earth. The technical means to address this climate crisis exist, but there are major social and political hurdles that stand in the way. Education has been touted as one possible means for helping to move forward necessary action on climate change. A hybrid model of planned behavior and human capital helps explain how education can affect climate change. The current dissertation sought to assess what relationship may exist between changes in per capita carbon emissions and science education as measured by the Programme for International Student Achievement (PISA ...


The Ukicer 2022 Conference Poster: Techmate: A Best Practice Toolkit For Driving Sustainable Acceleration Towards Gender Equality In Technology Disciplines In Heis., Alina Berry Aug 2022

The Ukicer 2022 Conference Poster: Techmate: A Best Practice Toolkit For Driving Sustainable Acceleration Towards Gender Equality In Technology Disciplines In Heis., Alina Berry

Conference papers

TechMate is a research project that is being developed to enhance gender balance in technology disciplines, in particular computing higher education in Ireland and beyond. Gender imbalance in computing education is a well-known issue: in Ireland, less than 15% of the student population in computer science, ICT and related disciplines are women. Despite a significant amount of research and practical work conducted in the recent decades, the problem still persists and this research initiative aims to improve the situation.

Among the main aims of this project, there is a development of a toolkit to drive sustainable acceleration towards gender equality ...


Recognizing And Reducing Ambiguity In Mathematics Curriculum And Relations Of Θ-Functions In Genus One And Two: A Geometric Perspective, Shantel Spatig Aug 2022

Recognizing And Reducing Ambiguity In Mathematics Curriculum And Relations Of Θ-Functions In Genus One And Two: A Geometric Perspective, Shantel Spatig

All Graduate Plan B and other Reports

Anxiety and mathematics come hand in hand for many individuals. This is due, in
part, to the fact that the only experience they have with mathematics is what some
mathematics educators refer to as "schoolmath," which uses a somewhat different
language than real mathematics. The language of schoolmath can cause individu-
als to have confusion and develop misconceptions related to several mathematical
concepts. One such concept is a fraction. In chapter one of this report, one possible
reason for this is discussed and a possible solution is purposed.
In chapter three of this report, genus-two curves admitting an elliptic involution ...


Investigating Elementary School Students’ Reasoning About Dynamic Angles, Erell Germia Aug 2022

Investigating Elementary School Students’ Reasoning About Dynamic Angles, Erell Germia

Theses, Dissertations and Culminating Projects

Angle measurement is a significant topic in almost all areas of mathematics learning and also in many disciplines outside mathematics education, such as engineering and architecture. According to the literature, there are three common conceptions of angles – as union of rays, rotations, and wedges. Researchers argued that students must consider these three angle concepts together to construct a meaningful understanding of angles. However, the curriculum standards for mathematics often present these angle conceptions separately to students, probably resulting in a fragmented understanding of the angle concept. In addition to this problem, the research literature documents multiple alternative conceptions that students ...


"Design For Co-Design" In A Computer Science Curriculum Research-Practice Partnership, Victor R. Lee, Jody Clarke-Midura, Jessica F. Shumway, Mimi Recker Aug 2022

"Design For Co-Design" In A Computer Science Curriculum Research-Practice Partnership, Victor R. Lee, Jody Clarke-Midura, Jessica F. Shumway, Mimi Recker

Publications

This paper reports on a study of the dynamics of a Research-Practice Partnership (RPP) oriented around design, specifically the co-design model. The RPP is focused on supporting elementary school computer science (CS) instruction by involving paraprofessional educators and teachers in curricular co-design. A problem of practice addressed is that few elementary educators have backgrounds in teaching CS and have limited available instructional time and budget for CS. The co-design strategy entailed highlighting CS concepts in the mathematics curriculum during classroom instruction and designing computer lab lessons that explored related ideas through programming. Analyses focused on tensions within RPP interaction dynamics ...


Mathematics Education As Dystopia: A Future Beyond, Peter Appelbaum, Charoula Stathopoulou, Constantinos Xenofontos Jul 2022

Mathematics Education As Dystopia: A Future Beyond, Peter Appelbaum, Charoula Stathopoulou, Constantinos Xenofontos

Journal of Humanistic Mathematics

We argue that scholars and practitioners of mathematics education need to find new directions through recognition of its dystopic characteristics, and embrace these characteristics as both the source of challenges and method of response. This contrasts with the generally utopic approach of most scholarship in the field. We offer critical ethnomathematics education as a model, since it has its own origins in lingering dystopic legacies. A perpetual hopelessness and disempowerment is one implicit curriculum of contemporary mathematics education, where the mathematics one learns might help to describe things, yet hardly assists in transforming the reification of power and agency in ...


Calculus Iii: Under The Influence Of Peer Instruction, Alan Von Herrmann, L. Jeneva Clark Jul 2022

Calculus Iii: Under The Influence Of Peer Instruction, Alan Von Herrmann, L. Jeneva Clark

Journal of Humanistic Mathematics

In peer Instruction, students engage with core course concepts and then explain those concepts to one another in small groups. Unlike in lecture format, peer instruction involves every student in the class. In Spring 2019, the first authot began using a modified version of peer instruction in Calculus III classes. He started each class by discussing important Calculus III concepts from three standpoints (the formula, the geometry behind the formula, and the physics behind the formula). During the last 20 minutes of each 50-minute class session, he polled the students using questions in the “Goldilocks Zone” – not too hard and ...


Higher Meanings: A Speaker Series Connecting Mathematics And Religion, Lawrence M. Lesser, Patricia S. Barrientos, Ben Zeidman Jul 2022

Higher Meanings: A Speaker Series Connecting Mathematics And Religion, Lawrence M. Lesser, Patricia S. Barrientos, Ben Zeidman

Journal of Humanistic Mathematics

An innovative grant-funded general adult audiences international speaker series on connections between mathematics and religion yielded six 2021 (now archived) presentations. We share reflections and lessons learned, informed by two sets of surveys.


Navigating Mathematics Teacher Preparation During A Time Of Crisis, Zareen G. Rahman, Rani Satyam, Younggon Bae Jul 2022

Navigating Mathematics Teacher Preparation During A Time Of Crisis, Zareen G. Rahman, Rani Satyam, Younggon Bae

Journal of Humanistic Mathematics

In this paper we highlight the experience of a mathematics teacher educator (MTE) and their prospective teachers (PTs) in a middle school mathematics methods course during the 2020 shift to online instruction due to the COVID-19 pandemic. We believe it is valuable to report how the MTE reflected on their instructional decision-making in response to this massive transition to remote instruction. We also report that PTs needed support and guidance to employ new teaching practices they had learned in the methods course instead of reverting to familiar teaching methods.


Stewardship Of Mathematics: Essential Training For Contributors To, And Users Of, The Practice Of Mathematics, Rochelle E. Tractenberg Jul 2022

Stewardship Of Mathematics: Essential Training For Contributors To, And Users Of, The Practice Of Mathematics, Rochelle E. Tractenberg

Journal of Humanistic Mathematics

A steward of the discipline was originally defined as an individual to whom “we can entrust the vigor, quality, and integrity of the field”, and more specifically, as “someone who will creatively generate new knowledge, critically conserve valuable and useful ideas, and responsibly transform those understandings through writing, teaching, and application” [8]. Originally articulated for doctoral education, in 2019 the construct of stewardship was expanded so that it can also be applied to non-academic practitioners in any field, and can be initiated earlier than doctoral education [18]. In this paper, we apply this construct to the context of mathematics, and ...


Towards Pedagogy Supporting Ethics In Modelling, Marie Oldfield Jul 2022

Towards Pedagogy Supporting Ethics In Modelling, Marie Oldfield

Journal of Humanistic Mathematics

Education for concepts such as ethics and societal responsibility that are critical in building robust and applicable mathematical and statistical models do currently exist in isolation but have not been incorporated into the mainstream curricula at the school or university level. This is partially due to the split between fields (such as mathematics, statistics, and computer science) in an educational setting but also the speed with which education is able to keep up with industry and its requirements. I argue that principles and frameworks of socially responsible modelling should begin at school level and that this would mean that ethics ...


Benny, Barbara, And The Ethics Of Edtech, Geillan Aly Jul 2022

Benny, Barbara, And The Ethics Of Edtech, Geillan Aly

Journal of Humanistic Mathematics

Erlwanger (1973) shook the mathematics education world when he introduced Benny, a student who successfully worked through a behavioristic curriculum. Erlwanger showed how far removed Benny’s understanding of mathematics was from expectations. Erlwanger’s legacy is the basis for this comparative case study which explores students’ actions in the modern, in-class computer-centered emporium classroom. Many striking similarities are found between Pearson’s MyMathLabs (MML) and Benny’s Individually Prescribed Instruction curriculum. In this case study we meet Barbara, a student who succeeds in MML but shows little understanding of mathematical concepts and demonstrates that the legacy of Benny is ...


Violence In Mathematics Teaching. Reflections Inspired By Levinas’ Totality And Infinity, Adriano Demattè Jul 2022

Violence In Mathematics Teaching. Reflections Inspired By Levinas’ Totality And Infinity, Adriano Demattè

Journal of Humanistic Mathematics

In mathematics class, violence is carried out in some usually not recognized situations. In this article, I share some reflections on the topic inspired by some passages of Totality and Infinity, work of the French-Lithuanian philosopher Emmanuel Levinas (1906-1995). I find violence by the teacher in not promoting students’ understanding of mathematics, in a distorted use of rhetoric, and in interrupting an ethical relation. This article analyses situations taken from class activities, focusing on the teacher’s presentation of mathematical content and students’ interventions. I also propose that the improvement of interventions in mathematics education is possible and suggest theoretical ...


The Formal Presentation Language Of Mathematics And Communication Ethics, Marshall Gordon Jul 2022

The Formal Presentation Language Of Mathematics And Communication Ethics, Marshall Gordon

Journal of Humanistic Mathematics

Mathematics employs a formal language where symbols, verbs, and nouns serve to express terms, concepts, and rules that concatenate to definitions, problem-solving procedures, and proofs. Taken together these constitute the expository language of mathematics found in journals, textbooks, and demonstrations. As a communication given to informing, there are epistemological and ethical considerations that deserve examination. For in keeping with the commitment to an aesthetic of concision promulgated by tradition, the formal presentation language and style of mathematics, while valuable in furthering the body of knowledge, provides only the conclusion of an inquiry, completely excluding the language of investigation that informed ...


Propuestas Y Resultados De Investigación Transmoderna, Translocal Y Digital Desde Jóvenes Semilleristas, Xiomara Gonzalez Gaitan Jul 2022

Propuestas Y Resultados De Investigación Transmoderna, Translocal Y Digital Desde Jóvenes Semilleristas, Xiomara Gonzalez Gaitan

Institucional

En el presente libro intitulado Propuestas y resultados de investigación transmoderna, translocal y digital desde jóvenes semilleristas, se encuentran compilados las propuestas, avances y resultados de los proyectos en curso de los Semilleros de Investigación de la Universidad de Cundinamarca, Colombia, que se presentaron en el “II encuentro de semilleros de investigación: ciencia, tecnología e innovación en la era digital” en su versión 2020. Hacemos la labor de publicar estos proyectos con la intensión de difundir el conocimiento y como muestra del esfuerzo y alcance de la labor investigativa de los semilleristas de la Universidad de Cundinamarca. Esperamos que lo ...