Higher Education Commons^™

Seating Groups And 'What A Coincidence!': Mathematics In The Making And How It Gets Presented, Peter J. Rowlett

Journal of Humanistic Mathematics

Mathematics is often presented as a neatly polished finished product, yet its development is messy and often full of mis-steps that could have been avoided with hindsight. An experience with a puzzle illustrates this conflict. The puzzle asks for the probability that a group of four and a group of two are seated adjacently within a hundred seats, and is solved using combinatorics techniques.

“I Got You”: Centering Identities And Humanness In Collaborations Between Mathematics Educators And Mathematicians, Anne M. Marshall, Sarah Sword, Mollie Applegate, Steven Greenstein, Terrance Pendleton, Kamuela E. Yong, Michael Young, Jennifer A. Wolfe, Theodore Chao, Pamela E. Harris

Journal of Humanistic Mathematics

Existing literature widely reports on the value of collaborations between mathematicians and mathematics educators, and also how complex those collaborations can be. In this paper, we report on four collaborations that sought to address what mathematics is and who gets to do it. Drawing on the literature and from the careful and intentional work of the collaborators, we offer a framework to capture the richness of those collaborations – one that acknowledges the importance of acknowledging and welcoming the extensive personal and professional experience of each person involved in the collaboration – and a look at how collaborations built with …

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.

Integrating Theatre And Biology: How Embodied Performance Can Enhance Empathy Among College Science Students, Annika C. Speer, Begona Echeverria

The STEAM Journal

In these field notes, we examine the integration of the arts into a 20-person honors biology seminar at UC Riverside “Beyond Science: Being Humane Amid Human Rights Crises.” We held a four-hour workshop to examine the ways in which performance and theatrical storytelling can enhance science learning. The workshop provided a unique avenue for exploring how human activities result in downward consequences including refugee displacement, one of the course objectives. In addition to the workshop, we conducted surveys and a focus group with the students to better understand their experience incorporating the arts into their science class. A key concept …

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. …

An Urgent Plea For More Graduate Programs In Statistics Education, David Eli Drew, Sam Behseta, Cherie L. Ichinose

Journal of Humanistic Mathematics

Lately, much has been written about the importance of amplifying statistics-related content in the K-12 curricula. This can be viewed in parallel or as an addendum to the existing mathematics curricula in the United States. Nevertheless, a key component of this debate is the lack of robust and cutting-edge academic programs in statistics education. In this piece, we emphasize the urgent need for investing in creating strong statistics education programs, which would significantly contribute to nurturing quantitative literacy as well as preparing a more informed citizenry in the 21^st century.

A Reflection On Growth Mindset And Meritocracy, Rachel L. Petrik, Julianne Vega, Andrés R. Vindas-Meléndez

Journal of Humanistic Mathematics

As mathematicians working in higher education we reflect on meritocracy and growth mindset with a focus on the relationship between the two. We also note the subtle differences between growth mindset and grit. Our reflection ends with suggestions for how to move forward in the math classroom and throughout the collegiate level.

Navigating A Calculus Course During A Pandemic: A Usma Perspective, Shane K. Smith, Tyson H. Walsh, Lee Evans

Journal of Humanistic Mathematics

In this article we analyze publications written about different teaching modalities and evaluate how each applies to a calculus class during the on-going COVID-19 pandemic. We focus on the positives and negatives of teaching and learning in a virtual, classroom, or HyFlex environment. Although arguments could be made for each environment, especially given different institutional objectives, this work aims to explain why we eventually preferred teaching our Fall 2020 multivariable calculus course in a face-to-face classroom setting at the United States Military Academy at West Point. We also offer measures of performance to compare the current COVID-19 semester with previous …

Fourth Voices Conference On Teaching Stem With Song, Lawrence M. Lesser

Journal of Humanistic Mathematics

The fourth VOICES (Virtual Ongoing Interdisciplinary Collaborations on Educating with Song) conference will be held September 26, 2021, with its Sunday date especially targeting those whose teaching schedule precludes attendance on a weekday. This online-only conference explores the use of song to teach STEM content at the college or secondary school level and will include reviewed interactive sessions, video-posters, and discussions of interest to both practitioners and researchers.

The Math Games Seminar: A Mathematical Learning Community, Anthony Delegge, Ellen Ziliak

Journal of Humanistic Mathematics

Learning communities can be an effective means of engaging university students across disciplines. Games have always been a source of both enjoyment and interesting mathematics. Based on our own interest in games, and the deep, strategic discussions we found ourselves having with students when we played games with them, we decided to design a learning community around the mathematics of games. We hoped in particular that such a community could be a great pathway to introducing mathematical thinking to students not majoring in mathematics, and that they would gain a greater appreciation for our field. In this paper, we describe …

Music In Steam: Beyond Notes, Hao Huang

The STEAM Journal

Given current debates about STEAM, it would be well to remember that more than five centuries before STEM was conceived, the original Renaissance man, Leonardo da Vinci, wrote in one of his notebooks that "To develop a complete mind, study the science of art, study the art of science. Learn how to see. Realize that everything connects to everything else." (Spong 2006) A discussion of the effectiveness of teaching music and its accompanying technology in conjunction with math and the science education follows. .Given the recent shift from in-classroom teaching to online instruction compelled by the Covid 19 pandemic, an …

Three Creativity-Fostering Projects Implemented In A Statistics Class, Margaret Adams

Journal of Humanistic Mathematics

Undergraduates in an introductory statistics class at a rural Southeastern college were assigned three creativity-fostering projects: statistics vocabulary crossword puzzle, word wall, and graffiti art poster. Given math anxiety, fear of failure, and lack of enthusiasm, it seemed imperative to spark interest and involvement. Rhodes 4P’s model (1961) served as the framework for this intrinsic case study involving 62 students. Independent thinking and research, peer collaboration, and use of art supplies within this model (person, press, process and product) generated remarkable learning outcomes. Grading rubrics focused on originality, quality and statistics content. Projects were classified into three qualitative categories ranging …

Tactivities: Fostering Creativity Through Tactile Learning Activities, Angie Hodge-Zickerman, Eric Stade, Cindy S. York, Janice Rech

Journal of Humanistic Mathematics

As mathematics teachers, we hope our students will approach problems with a spirit of creativity. One way to both model and encourage this spirit – and, at the same time, to keep ourselves from getting bored – is through creative approaches to problem design. In this paper, we discuss ``TACTivities'' – mathematical activities with a tactile component – as a creative outlet for those of us who teach mathematics, and as a resource for stimulating creative thinking in our students. We use examples, such as our ``derivative fridge magnets'' TACTivity, to illustrate the main ideas. We emphasize that TACTivities can …

Going Beyond Promoting: Preparing Students To Creatively Solve Future Problems, Kristin M. Arney, Kayla K. Blyman, Jennifer D. Cepeda, Scott A. Lynch, Michael J. Prokos, Scott Warnke

Journal of Humanistic Mathematics

While we cannot know what problems the future will bring, we can be almost certain that solving them will require creativity. In this article we describe how our course, a first-year undergraduate mathematics course, supports creative problem solving. Creative problem solving cannot be learned through a single experience, so we provide our students with a blend of experiences. We discuss how the course structure enables creative problem solving through class instruction, during class activities, during out of class assessments, and during in class assessments. We believe this course structure increases student comfort with solving open-ended and ill-defined problems similar to …

Does Your Course Effectively Promote Creativity? Introducing The Mathematical Problem Solving Creativity Rubric, Kayla K. Blyman, Kristin M. Arney, Bryan Adams, Tara A. Hudson

Journal of Humanistic Mathematics

As believers in the power of blending the creative with the quantitative, we design our courses with an eye towards developing creative problem solvers. However, when it comes time to evaluate our course's success in developing creative problem solvers we come away with a plethora of qualitative evidence and yet we are left hungry for the quantitative evidence we desire as mathematicians.

In this article we describe the development of the Mathematical Problem Solving Creativity Rubric and its pilot use in a freshman-level Mathematical Modeling and Introduction to Calculus course at the United States Military Academy. We not only come …

College Students’ Images Of Mathematicians And Mathematical Careers, Katrina Piatek-Jimenez, Miranda Nouhan, Michaela Williams

Journal of Humanistic Mathematics

In this paper we report our findings of college students’ images of mathematicians and we reflect on different methodologies used to assess this information. The study reported in this paper was conducted in two stages. During the first stage, we asked 179 college students to “draw a mathematician” and also asked them to list five characteristics and five careers for a mathematician. In the second stage of the study, we conducted four focus group interviews with a total of twelve college students. During the focus group interviews, we showed the students 16 photos of real people and asked them to …

Towards A Steam Underpinned Industrial Digitalisation Curriculum, Kamaran Fathulla

The STEAM Journal

This article reports on an innovative approach for designing a STEAM curriculum aimed at giving graduates the necessary skills to meet the challenges set out by onset of the Fourth Industrial revolution (ID 4.0: Industrial Digitalisation). This curriculum has been developed as part of a hefce (Higher Education Funding Council, UK) funded project at the University of Lincoln, UK.

Academia Will Not Save You: Stories Of Being Continually “Underrepresented”, Lynette Deaun Guzmán

Journal of Humanistic Mathematics

My entire life I have had to navigate educational structures labeled (by other people) as “underrepresented” in my fields—mathematics and mathematics education. As many people who are similarly labeled in this way know, this meant I had to navigate oppressive structures that positioned me as lesser (e.g., white supremacy, patriarchy). Making sense of these repeated interactions, I wrote my dissertation as a series of three articles, each prefaced with an essay that situated a broader social, cultural, and political context and also connected to my lived experiences navigating academia. These essays were some of my most personal academic writing, and …

Fun With Math On Valentine's Day, Kristin T. Kennedy

Journal of Humanistic Mathematics

This article describes various love-themed activities the department of mathematics at Bryant University hosted during a college-wide celebration of love called "The Arts and Science of Love", held during Valentine's Day 2018. Inspired by Susan D'Agustino's article "To Fall in Love with Math, Do This" [1], Bryant mathematicians came up with many creative and engaging activities that brought mathematics and its practitioners closer to the students on campus. Much fun was had.

Biomimicry A “Natural Lesson” In Steam, Steve Pauls

The STEAM Journal

The introduction of biomimicry as a theme in the classroom has some significant advantages when developing a STEAM curriculum. This growing field has many natural overlaps between the different disciplines within STEAM. There are many fascinating stories surrounding biomimicry connecting nature to simple solutions for many of our most difficult problems, especially related to the sustainability of our planet. Biomimicry cannot but help capture the imagination of our students.

Interdisciplinary Summer Institute Offering Steam Activities For At-Risk Middle School Students, Katherine Zaromatidis, Kara Naidoo

The STEAM Journal

A one-week long summer institute was designed for at-risk middle school students with two goals in mind: increasing interest in scientific inquiry through the use of artistic venues and exposing students to a higher education setting to motivate future goals of post-secondary education. Students were brought to the Iona College campus and were led through STEAM activities by a multi-disciplinary team of educators, who were assisted by a group of motivated undergraduate and graduate students. The summer institute culminated in a dramatic performance prepared and delivered by each of the students.

Wonder, Walking, And Water, Rachel Mayeri

The STEAM Journal

Art and Science is a seminar and studio course on science-inspired art practices. We will survey and discuss cutting-edge art-science theory, practice, and institutions in seminar. In studio, we examine art-science topics in hands-on experiments, and guided activities leading to art projects.

Into The Woods - Environmental Problem Solving Through Steam Lesson Planning, Laura Rachel Fattal

The STEAM Journal

Title - Into the Woods – environmental problem solving through STEAM lesson planning

Abstract

The STEAM conversation takes on new urgency in the preservice university classroom due to its potential for synergistic problem solving of real world problems. The visual and performing arts invite creativity to be understood as social practice and aesthetic flexibility and the assessment of the practice through student/student and student/teacher curiosity building. In this article pedagogical praxis is centered on the critical issue of climate change caused by global warming. The praxis addresses:

• University preservice candidates’ arts-integrated teaching and learning focusing on climate change,
• Provocative rewriting …

Voices: Conference On Teaching Stem With Music, September 27-28, 2017, Gregory J. Crowther

Journal of Humanistic Mathematics

This first-of-its-kind, online-only conference will explore the use of music to teach STEM (science, technology, engineering, and mathematics) at the college level (including AP courses). Presentations will be live-streamed from the conference website, https://www.causeweb.org/voices. Online registrations (for only $10 apiece!) will be accepted at the conference website until the conclusion of the conference on September 28, 2017.

A Mathematician’S Journey From Mentee To Mentor: Reflections On The Edge Program, Sarah Bryant, Alejandra Alvarado

Journal of Humanistic Mathematics

The programs supporting diversity in mathematics are as important as ever. So why are they losing funding? And what hope do they have of thriving in the current political climate? In this collaborative interview, two past participants of EDGE (Enhancing Diversity in Graduate Education) explore these questions; Sarah probes and narrates as Alejandra thinks out loud about the ways that the program has shaped her life and how she hopes to see the program continue.

Infusing The Arts Into Science And The Sciences Into The Arts: An Argument For Interdisciplinary Steam In Higher Education Pathways, Christopher W. Thurley

The STEAM Journal

This article presents an argument for the integration of science into English courses in order to emphasize the usefulness of a Science, Technology, Education, Arts, and Mathematics (STEAM) education. The idea for this approach arose after the implementation of a divisional initiative to create learning communities with a STEM cohort of students called Student Persistence and Retention via Curricula, Cohorts, and Centralization (SPARC³). The author’s involvement in teaching a science-infused English course for this program inspired the argument that follows, which outlines why/how the sciences should learn from the humanities and why/how the humanities should learn from the sciences. The …

Using Ibl In A History Of Mathematics Course: A Skeptic’S Success, Michael E. Matthews, Angela M. Hodge

Journal of Humanistic Mathematics

A college professor, who is highly skeptical of change, but sensing a need for teaching in a more inspiring and engaging way, implements an inquiry-based learning (IBL) approach to teaching the history of mathematics. The first author (Matthews) worked with an experienced IBL colleague mentor (Hodge) on the course. Some student data was collected to document the effects of the class on the students. The approach taken for the course is described in detail including how the students of the course learned about and used IBL in key peer-to-peer teaching about historical mathematics (with a primary focus on the mathemat- …

Macromolecules And Monologues: How Science And Arts Classes Motivate Students For College, Alejandra Acosta

The STEAM Journal

This study investigates how science and performing arts classes motivate high school students, particularly students of color, to pursue higher education. The changes in funding and perceived importance of Science, Technology, Engineering and Math (STEM) vs. Visual Performing Arts (VPA) classes and programs, as well as the underrepresentation of students of color in these areas, make this topic important. Existing literature independently examines the positive effects of science and arts classes on student success but fails to compare the benefits of these programs and to include the student voice. Through the use of participant observation, questionnaires, and interviews, this study …

Beer And Brewing In German Culture: Bridging The Gaps Within Steam, John D. Sundquist

The STEAM Journal

A university-level course on science, history, and culture of beer and brewing offers students from a wide range of disciplines a unique opportunity to learn from each other. They gain an appreciation for STEAM and the interaction of a number of disciplines while examining a subject of growing interest. This paper provides a brief description of such a course and includes specific examples of ways in which students explore science, engineering, humanities and the arts, as these areas of research come together in the study of beer and brewing.