Education Commons^™

Finding Your Mathematical Roots: Inclusion And Identity Development In Mathematics, Linda Mcguire

Journal of Humanistic Mathematics

This paper details a semester-long course project that has been successfully adapted for use in mathematics courses ranging from introductory level, general-education classes to advanced courses in the mathematics major. Through creating aspirational mathematical family trees and writing mathematical autobiographies, this assignment is designed to help battle belonging uncertainty, to challenge students to self-situate in relation to the history of mathematical and scientific knowledge, and to make visible a student’s developing identity in mathematics and, more broadly, in STEM.

The construction and scaffolding of the project, assignments, examples of student work, foundational readings, assessment and outcomes, and adaptation strategies for …

Fitting A Covid-19 Model Incorporating Senses Of Safety And Caution To Local Data From Spartanburg County, South Carolina, D. Chloe Griffin, Amanda Mangum

CODEE Journal

Common mechanistic models include Susceptible-Infected-Removed (SIR) and Susceptible-Exposed-Infected-Removed (SEIR) models. These models in their basic forms have generally failed to capture the nature of the COVID-19 pandemic's multiple waves and do not take into account public policies such as social distancing, mask mandates, and the ``Stay-at-Home'' orders implemented in early 2020. While the Susceptible-Vaccinated-Infected-Recovered-Deceased (SVIRD) model only adds two more compartments to the SIR model, the inclusion of time-dependent parameters allows for the model to better capture the first two waves of the COVID-19 pandemic when surveillance testing was common practice for a large portion of the population. We find …

Ode Models Of Wealth Concentration And Taxation, Bruce Boghosian, Christoph Borgers

CODEE Journal

We refer to an individual holding a non-negligible fraction of the country’s total wealth as an oligarch. We explain how a model due to Boghosian et al. can be used to explore the effects of taxation on the emergence of oligarchs. The model suggests that oligarchs will emerge when wealth taxation is below a certain threshold, not when it is above the threshold. The underlying mechanism is a transcritical bifurcation. The model also suggests that taxation of income and capital gains alone cannot prevent the emergence of oligarchs. We suggest several opportunities for students to explore modifications of the model.

Odes And Mandatory Voting, Christoph Borgers, Natasa Dragovic, Anna Haensch, Arkadz Kirshtein, Lilla Orr

CODEE Journal

This paper presents mathematics relevant to the question whether voting should be mandatory. Assuming a static distribution of voters’ political beliefs, we model how politicians might adjust their positions to raise their share of the vote. Various scenarios can be explored using our app at https: //centrism.streamlit.app/. Abstentions are found to have great impact on the dynamics of candidates, and in particular to introduce the possibility of discontinuous jumps in optimal candidate positions. This is an unusual application of ODEs. We hope that it might help engage some students who may find it harder to connect with the more customary …

Exploring Set-Theoretic Practices Of Youth Engagement In Connective Journalism: What We Lose In School-Mathematical Descriptions, Alexandra R. Aguilar, Emma C. Gargroetzi, Lynne M. Zummo, Emma P. Bene

Journal of Humanistic Mathematics

Analyzing youth video submissions regarding COVID-19 to KQED’s ‘Let’s Talk About the Election’ website, we explore the mathematics these youth engaged in through their submissions without creating any explicit connection to school mathematical concepts or standards. Our focus is the students’ construction of sets (e.g. sets of nurses, doctors, American workers), as a means of creating connection with voters and other media authors through Marchi and Clark’s (2021) construct of connective journalism. We observe these youth constructing sets of varying sizes and reflecting on how these sets are contextualized within a larger political dialogue. We also attempt to rewrite part …

Just Mathematics: Getting Started Teaching Postsecondary Math For Social Justice, Kenan A. Ince

Journal of Humanistic Mathematics

Following the summer 2020 civil rights movement and increasing attention to the intersections of mathematics with politics and power, many math educators have reported a desire to implement an antiracist pedagogy and to examine the intersections of their subject with issues of equity, inclusion, and social justice. Many resources exist for K-12 math educators interested in incorporating social justice into their curricula, but resources are comparatively scarce for college and university instructors (though this is changing quickly!). We discuss why one may want to teach mathematics for social justice, how to begin to implement issues of social justice into postsecondary …

No Simple Formula: Navigating Tensions In Teaching Postsecondary Social Justice Mathematics, Alexa W. C. Lee-Hassan

Journal of Humanistic Mathematics

Instructors of Social Justice Mathematics (SJM) have shared important insights into the powerful potential of connecting classroom mathematics with authentic data about social justice topics, but they have also warned about the harm such teaching can cause when done poorly. In this article, I consider what is necessary to teach SJM at the postsecondary level. I share research that has supported me in learning to teach SJM and highlight challenges that are particular to doing this work in postsecondary contexts. I then describe my experiences navigating the central tensions of this work while honoring its complexity.

Collaboration Between Science And Art Through A Special International Symposium For Ecosystem Health And Sustainability, Changwoo Ahn Dr.

The STEAM Journal

The collaborations between ecosystem restoration and art practices was epitomized by the eco-artist Jackie Brookner who said: “it is not a matter of the scientists providing the hard-core research and artists the soft outreach; rather, the dynamics engendered in the space between disciplines is full of information necessary to solve complex problems at the systemic level”. This paper reviews and summaries the goals, activities, and lessons learned from a special symposium, which was held at the 12^th INTECOL (International Congress of Ecology) conference in Beijing, China, August 21 through 25, 2017, where about 3000 people attended from 70 countries. …

Students Arts Participation Increases Stem Motivation Via Self-Efficacy, Stephen M. Dahlem

The STEAM Journal

This work found that there exists a correlation between student motivation in science, technology, engineering and mathematics (STEM) and student participation in the arts during high school with self-efficacy being a mediator. STEM is an important component of student success from a broad, national, perspective, as well as from a domain-specific point of view. The results of this work may provide aid to teachers, parents, administrators, and even students seeking to find ways to increase student motivation and performance in the STEM subjects. Additionally, this work may be of interest to advocates of the arts. This quantitative correlational study was …

Challenge-Based Learning & Steam Curriculum, Diana Lockwood

The STEAM Journal

STEAM education is being integrated into elementary schools as a way to engage more students in creativity, hands-on learning, and problem-based learning also referred to as Challenge-Based-Learning (CBL). This article focuses on elementary educators’ curriculum design for STEAM and presenting students with open-ended questions phrased as a challenge as a way to raise student interest and achievement (DeJarnette, 2018; Hunter-Doniger, 2018). When students received challenges to solve, they felt more open to sharing their ideas since there was more than one potential right answer (DeJarnette, 2018; Drake, 2012). When implementing CBL, teachers act as facilitators using a constructivist approach as …

Where Do Babies Come From?, Marcio Luis Ferreira Nascimento

Journal of Humanistic Mathematics

According to European folklore, popularized by a fairy tale, storks are responsible for bringing babies to new parents. This probably came from observation in certain European countries, such as Norway, Netherlands or Germany, that storks nesting on the roofs of households were believed to bring good luck, as the possibility of new births. People love stories, but correlation simply means that there is a relationship between two factors that tells nothing about the direction of said relationship, if any. Another possibility is simple coincidence. Let us say that it’s possible that one factor causes another. It’s also possible that the …

Collapsing Spaces, Colliding Places: Leveraging Constructs From Humanistic Geography To Explore Mathematics Classes, Valentin A. B. Küchle, Shiv S. Karunakaran, Mariana Levin, John P. Smith Iii, Sarah Castle, Jihye Hwang, Yaomingxin Lu, Robert A. Elmore

Journal of Humanistic Mathematics

Humanistic geographers distinguish between space and place: “What begins as undifferentiated space becomes place as we get to know it better and endow it with value” (Tuan, 1977, page 6). In this essay, we seek to demonstrate how mathematics education researchers and mathematics instructors may find space and place illuminating for understanding important aspects of students’ learning experiences during the coronavirus pandemic—and possibly beyond. Specifically, after introducing the terms and relating them to the context of a university mathematics class, we exemplify how home and class places collided for three undergraduate mathematics students forced to deal with the abrupt …

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 …

Drawing Parallels In Art Science For Collaborative Learning: A Case Study, Karen Westland

The STEAM Journal

This research paper explores drawing as a tool to facilitate interdisciplinary practice. Outlined is the personal experience of PhD researcher [name removed] in their physics/craft research project, combined with thoughts and opinions from collaborators gathered through group discursive interviews. Interdisciplinary projects face interpersonal and conceptually ambiguous challenges which can be addressed through adopting drawing techniques for educational purposes. Findings highlight that drawing can assist across a breadth of applications as a learning tool for everyone, regardless of drawing ability, to improve the functionality of collaborative projects. Specifically, drawing combined with other communication techniques develops a performative communicative approach that enriches …

The Mathematics Of Gossip, Jessica Deters, Izabel P. Aguiar, Jacquie Feuerborn

CODEE Journal

How does a lie spread through a community? The purpose of this paper is two-fold: to provide an educational tool for teaching Ordinary Differential Equations (ODEs) and sensitivity analysis through a culturally relevant topic (fake news), and to examine the social justice implications of misinformation. Under the assumption that people are susceptible to, can be infected with, and recover from a lie, we model the spread of false information with the classic Susceptible-Infected-Recovered (SIR) model. We develop a system of ODEs with lie-dependent parameter values to examine the pervasiveness of a lie through a community.

The model presents the opportunity …

Symmetry And Measuring: Ways To Teach The Foundations Of Mathematics Inspired By Yupiaq Elders, Jerry Lipka, Barbara Adams, Monica Wong, David Koester, Karen Francois

Journal of Humanistic Mathematics

Evident in human prehistory and across immense cultural variation in human activities, symmetry has been perceived and utilized as an integrative and guiding principle. In our long-term collaborative work with Indigenous Knowledge holders, particularly Yupiaq Eskimos of Alaska and Carolinian Islanders in Micronesia, we were struck by the centrality of symmetry and measuring as a comparison-of-quantities, and the practical and conceptual role of qukaq [center] and ayagneq [a place to begin]. They applied fundamental mathematical principles associated with symmetry and measuring in their everyday activities and in making artifacts. Inspired by their example, this paper explores the question: Could symmetry …

Find, Process, And Share: An Optimal Control In The Vidale-Wolfe Marketing Model, Michael C. Barg

CODEE Journal

The Vidale-Wolfe marketing model is a first-order, linear, non-homogeneous ordinary differential equation (ODE) where the forcing term is proportional to advertising expenditure. With an initial response in sales as the initial condition, the solution of the initial value problem is straightforward for a first undergraduate ODE course. The model serves as an excellent example of many relevant topics for those students whose interests lie in economics, finance, or marketing. Its inclusion in the curriculum is particularly rewarding at an institution without a physics program. The model is not new, but it was novel to us when a group of students …

Peace Guardians, Watts Bears And The Maori Haka, Zachariah Fisher

The STEAM Journal

In the summer of 2017, Peace Guardians carried out a summer school program for twenty inner city kids ranging from 8-13 years old in Watts Los Angeles. The program was part of the annual Watts Bears summer school. The Watts Bears are group of student football and track athletes coached by the Los Angeles Police Department. Working in conjunction with the Watts officers and coaches, Peace Guardians and guest teachers spent four hours a day with the students facilitating mindfulness exercises and the Haka as wellness tools to incorporate into their lives in and out of the classroom and football …

Creativity, Laterality And Critical State Balance In Learning, Jenny Rock, Asher Flatt

The STEAM Journal

Understanding the intersecting cognitive pathways that are integral to ways of thinking, creating and functioning in both art and science is an important grounding for a STEAM educational approach. We combine three divergent concepts, including creativity, hemisphere laterality, and critical state theory, to argue for a more balanced approach to learning as part of a modern meaning-centered education in STEAM. Reviewing the concept of hemisphere laterality, or how the two hemispheres of our brain have different (though not disconnected) ways of processing sensory information, we note how these two means of interpreting the world have become unbalanced in traditional modes …

Ecoscience + Art Initiative: Designing A New Paradigm For College Education, Scholarship, And Service, Changwoo Ahn

The STEAM Journal

The paper presents a new initiative, EcoScience + Art, which blooms at George Mason University. The creator explains the background, history, and recent activities of the initiative, and also introduces an on-going special project called “The Rain Project”, a student participatory project to design, construct, and monitor a green infrastructure (i.e., floating wetland) for sustainable stormwater management on campus. The special project is geared to design and present a new paradigm to integrate college education, scholarship, and service. The relevance of the initiative and the special project to STEAM education is discussed.

From Stem To Steam: Reframing What It Means To Learn, Nicole M. Radziwill, Morgan C. Benton, Cassidy Moellers

The STEAM Journal

Although involvement in art and design have been shown to play an essential role in catalyzing STEM research, true integration is still an area of active research. The realization of STEM education via STEAM lends itself to interactive and participatory dialogic art; this juncture provides a nonjudgmental space to cultivate the question-making aspect of inquiry, the ability to comfortably hold uncertainty, and a sensitivity to the process of discovery. Even though STEM education can (and often is) inquiry-based, assessments still tend to focus on whether knowledge or skills have been obtained, and this is no different than the current general …

The Efficacy Of Mathematics Education, Eric Geimer

The STEAM Journal

Evidence supports the notion that mathematics education in the United States is inadequate. There is also evidence that mathematics education deficiencies extend internationally. The worldwide mathematics education deficit appears large enough that improving student performance in this educational problem area could yield great economic benefit. To improve the efficacy of mathematics education, education’s root problems must first be understood. Often supposed educational root problems are considered and contrasted against potential deficiencies of mathematics methodologies and curricula that are based on mainstream educational philosophies. The educational philosophies utilized to form early-grade mathematics methodologies and related curricula are judged to be the …

Academic Progress: Factors That Affect A Student’S First Year Experience In College, Stephen Ward

LUX: A Journal of Transdisciplinary Writing and Research from Claremont Graduate University

The transition to higher education can be a journey of life changing experiences. These experiences culminate in factors that affect a student’s academic success. This can lend itself to areas of growth, change, and maturation that cultivate and stimulate the intellectual curiosity which motivate a student to succeed in college. Specifically, this study attempts to measure three factors that affect student success in college; these factors are the formal education of your parents, student work status, and access to the internet.

Chartering The Way To A Free And Appropriate Public Education (Fape): The Challenges For Charter Schools To Provide Fape, Michael J. Seltzer

LUX: A Journal of Transdisciplinary Writing and Research from Claremont Graduate University

Charter schools are publicly funded schools that are an integral part of the school choice movement, following a market-model of education based on autonomy, competition, and choice. However, charter schools are also mandated to adhere to all laws and regulations in the Individuals with Disabilities Education Act (IDEA) when educating students with disabilities. The education of students with disabilities within the charter school environment can result in policy tensions. This paper will examine the salient issues surrounding special education as it pertains to the state, authorizer, and operator in the areas of transparency, processes, and outcomes.

Mobile Learning: Designing A Socio-Technical Model To Empower Learning In Higher Education, Pimpaka Prasertsilp

LUX: A Journal of Transdisciplinary Writing and Research from Claremont Graduate University

Mobile learning is a rapidly developing mode for teaching and learning to deliver content to learners. Additionally, mobile learning can aid both formal learning in traditional classrooms and informal settings outside classes. This paper explains how the mobility of learners can contribute to the process of acquiring knowledge, skills, and experiences, and further investigates how to design an effective model. This study also explores activities in which students can use mobile devices to facilitate their learning. Additionally, there are many factors that affect students’ learning outcomes. In this paper, researcher investigates how to design an effective socio-technical model by integrating …

Understanding The Role Of Social Capital And School Structure On Latino Academic Success, Jeremiah Gonzalez

LUX: A Journal of Transdisciplinary Writing and Research from Claremont Graduate University

This paper investigates the role of social capital and school structure on the academic success of Latino students. A review of the literature on previous explanations of Latino failure, research on academically successful Latinos, and the role of social capital and school structure on Latino academic success are investigated. The research shows that the way students are tracked in school plays an important role in gaining access to school agents and other academically successful peers. These relationships give access to social capital and increase college access. Implications for policy and practice are discussed.

A Reflection: Art And Science In A Museum Gallery, Kaileena Flores-Emnace

The STEAM Journal

Art education in a public space can be a venue for the blending of art and science. As a Contemporary Art Start educator for the Museum of Contemporary Art (MOCA), Los Angeles, I have experienced the many ways in which transdisciplinary education creates deeper student understanding and engagement. At MOCA we use Visual Thinking Strategies for student tours, a research-based teaching method that invites students to direct gallery discussions. We visit a few artworks for ten to fifteen minutes each to foster critical thinking and encourage students to bring personal knowledge and experience to the conversation.

Broad Vision: The Art & Science Of Looking, Heather Barnett, John R. A. Smith

The STEAM Journal

Undergraduate students and academic staff from diverse disciplines in the arts and sciences investigated questions of mediated vision through a year-long interdisciplinary research project at the University of Westminster, London, United Kingdom. The Broad Vision project explored the perception and interpretation of microscopic worlds, and investigated the benefits and challenges of working across disciplinary divides in a university setting. This article describes the three-phase model for interdisciplinary learning and research developed through the project, providing a valuable case study for inquiry based art/science education.

Towards A “Cloud Curriculum” In Art And Science?, Roger Malina

The STEAM Journal

Recently an email hit my desk from Paul Thomas in Australia with a proposal to work together on a “Cloud Curriculum for Art and Science”. I immediately agreed to collaborate. I don’t yet have a clue of what a cloud curriculum is, but what I do know is that we are ‘backing into the future’ in educational institutions and we desperately need a ‘cloud curriculum.’ We need to look over the ten year horizon. And in the emerging art-science field I doubt that the usual approach to curriculum development will work.

A Distributed Intelligence Approach To Multidisciplinarity: Encouraging Divergent Thinking In Complex Science Issues In Society., Jarod Kawasaki, Dai Toyofuku

The STEAM Journal

The scientific issues that face society today are increasingly complex, open-ended and tentative (Sadler, 2004). Finding solutions to these issues, not only requires an understanding of the science, but also, concurrently dealing with political, social, and economic dimensions that exist (Hodson, 2003). For example, 40 years after the first congressional hearing on climate change held by Al Gore in 1976, the 2012 Intergovernmental Panel on Climate Change (IPCC) report states that climate change is still getting worse, despite efforts by governments, businesses, social actors such as Non-Government Organizations, and scientists. With the top minds in the world, across all disciplines, …