Education Commons^™

Undergraduate Mathematics Students Question And Critique Society Through Mathematical Modeling, Will Tidwell, Amy Bennett

Journal of Humanistic Mathematics

Mathematics can be used as a tool to question and critique society and, in doing so, give us more information about the world around us and how it operates. This however, is not a common perspective that is conveyed to students during their undergraduate mathematics coursework. This paper contributes to the understanding of how undergraduate mathematics students question and critique society via mathematical modeling tasks. In two courses at two universities, 27 mathematics majors and secondary preservice teachers engaged in the modeling process situated in authentic contexts to learn specific concepts and make mathematical connections across domains and disciplines. Both …

Gödel's Theorem In The Continuing Education Of Mathematics Teachers, Ana J. Lemes

Journal of Humanistic Mathematics

The notion of dépaysement épistémologique (epistemological disorientation) aims to capture the sense of disorientation when a learner is led to question their prior assumptions and understandings, generating uncertainty in a context in which they thought they had certain knowledge. This article describes an activity used with a group of practicing mathematics teachers in Uruguay that integrates elements of the history of mathematics related to Gödel’s incompleteness theorem, with the aim of provoking in the participants the experience of dépaysement épistémologique. Results show that several of the teachers participating in the activity felt dépaysement épistémologique, and this feeling triggered …

Teaching Mathematics With Poetry: Some Activities, Alexis E. Langellier

Journal of Humanistic Mathematics

During the summer of 2021, I experimented with a new way of getting children excited about mathematics: math poetry. Math can be a trigger word for some children and many adults. I wanted to find a way to make learning math fun—without the students knowing they’re doing math. In this paper I describe some activities I used with students ranging from grades K-12 to the college level and share several poem examples, from students in grades two to eight.

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 …

Creative Learning With Music And Mathematics: Reflections On Interdisciplinary Collaborations, Graham Johnson, Alesia M. Moldavan

The STEAM Journal

Culturally responsive content, accessible and inclusive tools, and meaningful interdisciplinary tasks can aid in developing equitable and creative learning environments. Music and mathematics are ideal disciplines for interdisciplinary creative learning. In this article, we reflect on our experiences engaging in interdisciplinary music and mathematics tasks with preservice teachers. In particular, we highlight specific efforts taken to design and implement a creative music and mathematics workshop for use in a mathematics methods course. Guided by these experiences, we offer examples of tools and practices that have helped preservice teachers collaborate, engage in inquiry, improvise, develop empathy, and take intellectual and social …

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 …

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.

Teaching Preservice Teachers In The Time Of Covid: What’S Worth Keeping?, Kathy Liu Sun, Jennifer L. Ruef, Kathleen Jablon Stoehr, Madeline Ahearn

Journal of Humanistic Mathematics

As we begin to transition from online instruction to in-person, we (four mathematics teacher educators) reflect on how COVID-19 impacted our instruction and address the question: what will we take back to in-person instruction? This article includes our individual reflections and an analytical synthesis of them. Findings reveal that there were unanticipated ways that human connection and consideration arose from teaching online, much of which we want to maintain in some form when returning to brick and mortar classrooms. We conclude by highlighting the value and importance of reflection for our own well-being.

Happiness In Mathematics Education: The Experiences Of Preservice Elementary Teachers, Jeffrey Pair, Kent Dinh

Journal of Humanistic Mathematics

In this paper, we discuss preservice elementary teachers (PSTs) self-report of their happiness or unhappiness. Several times throughout a mathematics content capstone course, PSTs responded to prompts in which they described times from their past schooling experiences or during the course in which they experienced happiness or unhappiness in learning mathematics. Through thematic analysis, we examined their common experiences related to happiness and their mathematics learning. We found that PSTs’ happiness is related to expectations of themselves, their teachers, their peers, and mathematics itself. The study illuminates PST beliefs about mathematics teaching, collaborative group work, and the nature of mathematical …

Supporting Mathematic Achievement For Students With Learning Disabilities Through Enhanced Anchored Instruction, Wendie Lappin Castillo

The STEAM Journal

Difficulties in mathematical learning are common and significant.The struggle has increased exponentially with the Common Core State Standards in effect. Students with or without learning or mathematical disabilities may respond to continued failure by withdrawing their effort, carrying low self-esteem, and/or displaying avoidance behaviors. Enhanced anchored instruction is designed to provide students the opportunity to construct knowledge and design solutions to problems collaboratively. The approach of enhanced anchored instruction attempts to guide students to become more active in learning through the use of technology. Enhanced anchored instruction provides students the opportunity to work through problems attached to a visual anchor. …

The International Conference On Creative Mathematical Sciences Communication: Online Event (Cmsc'20) And Cmsc'21, Frances Rosamond

Journal of Humanistic Mathematics

You are warmly invited to register now for the 5th International Conference on Creative Mathematical Sciences Communication (CMSC’21) which will be held at Adam Mickiewicz University in Poznań, Poland, 2–6 July, 2021.

The International Conference on Creative Mathematical Sciences Communication (CMSC) is a unique gathering of computer scientists and mathematicians, teachers, musicians, dancers, dramatists, game designers, educators and communicators of all sorts.

Due to the pandemic, the in-person event scheduled for 2020 has been post- poned and a short CMSC Online Event was organized as a “teaser” or trailer in order to feel the spirit of the full 5th CMSC …

A Study Of Problem Posing As A Means To Help Mathematics Teachers Foster Creativity, Deborah Moore-Russo, Amanda A. Simmons, Michael J.D. Tulino

Journal of Humanistic Mathematics

Research suggests that mathematical creativity often results from extended periods of mathematical activity and reflection based on the use of deep and flexible content knowledge [14, 15]. This implies that instruction can influence creativity. However, for teaching to foster creativity in mathematics, there should be purposefully designed instructional tasks. It is doubtful that routine, mechanical exercises would foster creativity. Moreover, mathematical creativity may neither be explicitly promoted, nor fully appreciated, by students when a learning space involves only problem solving, even if the problems are challenging and engaging. For students to get an authentic sense of mathematics and to develop …

Project Based Learning: Are There Any Academic Benefits For The Teacher Or Students?, Michael Aristidou

Journal of Humanistic Mathematics

In this paper, I raise an issue often neglected in Project Based Learning (PBL) literature. What academic benefits, if any, does the teacher or the student gain by adopting PBL pedagogy in college? I argue that PBL by its structure yields little academic benefits for the teacher or the students, and this could affect motivation as well. I present some examples from my personal teaching experience in mathematics. And thus, as I explain, a more “traditional” project-based approach could be better for both teacher and students.

Case Studies On The Transfer Of Knowledge Within The Interdisciplinary Steam Curricula Construct, Laura Rachel Fattal

The STEAM Journal

Sharing anecdotal case study research documents the vibrancy of personal communication to reveal both spontaneous reactions and profound thinking on the transfer of knowledge in the interdisciplinary STEAM curricula construct. With the growing research and attention to arts-integration and STEAM curricula development, a critical assignment in a graduate course in Arts-integration: Interactive Strategies for (STEAM) teaching and learning required the in-service teachers, who were the students in the course, to be teacher/researchers. In a two-to-three page case study, the students documented evidence of one or two K-12 students’ transfer of knowledge between two or more disciplines – science, technology, engineering, …

Everyman's Climb, Charles A. Coppin

Journal of Humanistic Mathematics

Hal and Verity represent two different philosophies of learning, one used by most of us. In today’s world, authentic teaching is indeed a heroic act, but may not be the most popular. This piece draws distinctions between these choices, each time we teach a course, each day we walk into the classroom, and even when working with an individual student; they are ever present.

Mathematics Students As Artists: Broadening The Mathematics Curriculum, Marshall Gordon

Journal of Humanistic Mathematics

Mathematics has often been referred to as an art. For some it is “the purest of the arts”, where the mathematicians’ art is “asking simple and elegant questions about our imaginary creations, and crafting satisfying and beautiful explanations”. Yet with classroom time given primarily to “covering the curriculum”, testing, and practicing problem-solving procedures, students’ opportunities to appreciate the aesthetic dimension of mathematics are often limited. To promote a responsive environment in an effort to enable students to become artists of their own mathematics experience, I consider in this paper two facets of the mathematics classroom. Content-wise I make the argument …

Developing A Makerspace As A Vehicle For Partnership Building: The Role Of Teacher Education Programs In Guiding Teachers, Librarians, And Communities, Heejung An, Ellen Pozzi,

The STEAM Journal

As schools consider new ways to enhance hands-on learning opportunities, many have focused on the emerging “Maker Movement.” As a means to support this trend, the authors share how the College of Education at a state university in northern New Jersey designed and facilitated a Makers Day event to help teacher candidates, teachers, and librarians, to develop insights into the activities for their own community based makerspaces. This article first describes the impetus for carrying out such activities, followed by a literature review, a description of how the event was designed, and our future plans for building on these activities.

Cmsc 2018: 4th Creative Mathematical Sciences Communication Conference, Frances Rosamond

Journal of Humanistic Mathematics

Join scientists, researchers, teachers, and artists in developing new ways of communicating mathematical and computational thinking. Welcome are contributions in art forms such as dance, graphic art, theatre, and the myriad of ways to communicate science to the public. The conference will feature keynote talks by leading researchers and communicators in the mathematical sciences, sharing their experience, new initiatives, and ideas. The conference will be held in Wellington, New Zealand, at The Learning Connexion (TLC) on 21--23 July 2018. The conference website is http://www.cmsc.nz.

Science Theater As Steam: A Case Study Of "Save It Now", Christopher D. Davidson, Willard Simms

The STEAM Journal

What are the markers of a successful STEAM program? How and when can educators be reasonably sure that an interdisciplinary unit or project, rich in both the sciences and the arts, has delivered on its implicit promise – by adding value to a student’s education in ways that are beyond the scope of traditional discipline-specific learning? I attempt to address this question with a case study of Theatre of Will’s “Save It Now,” a pilot program for 4^th, 5^th and 6^th graders at eight Los Angeles public schools that integrates theater arts, music and the STEM …

Creating Steam With Design Thinking: Beyond Stem And Arts Integration, Danah Henriksen

The STEAM Journal

This article suggests the value in a broad view of STEAM beyond arts-integration, as well as the potential of design thinking for STEAM. Despite much interest in STEAM it is often challenging for many teachers to integrate into their teaching of school subject matter. I suggest that as an interdisciplinary crossroads, design thinking provides a natural bridge between the arts, sciences, and other subjects. In this it can offer guiding flexible structure and in-road for teachers to design STEAM-based lessons, and to incorporate as an integrated aspect of students’ STEAM learning. I discuss an example of an elementary Spanish teacher, …

Using Steam To Increase Engagement And Literacy Across Disciplines, Robert L. Long Ii, Stephen S. Davis

The STEAM Journal

This paper explores STEAM as a solution to improving student engagement and helping students improve functional literacy across the curriculum. While STEM is a fairly established approach to curriculum, researchers and practitioners are continuing to develop and understand STEAM and its place in school curriculum. It is important that educators foster this holistic approach to education and strive to participate in active research associated with STEAM. It is also most advantageous for stakeholders to understand the importance of arts integration and its use to support collaboration, innovation, and creativity within students. Key strategies can be used to support arts integration …

A Brief History Of Stem And Steam From An Inadvertent Insider, Lisa G. Catterall

The STEAM Journal

This article traces a history of STEM and STEAM from the perspective of someone involved in arts integration research for the last 35 years, and proposes a vision for the next steps. It also provides an assessment of the risks inherent in current trends of STEAM roll-out in schools, from the lack of resources for professional development to the burgeoning market in STEAM kits and activity books that do not lead to the original learning goals of STEAM.

Developing Confidence In Steam: Exploring The Challenges That Novice Elementary Teachers Face, Aaron S. Zimmerman

The STEAM Journal

This essay explores the challenges that novice elementary teachers may face as they attempt to enact the practices of STEAM education. Specifically, I will explore research that suggests that novice elementary teachers lack confidence in their ability to lead lessons rooted in either scientific inquiry or arts-integration. This has, I argue, clear implications for the development of STEAM education. Advocates of STEAM education must ensure that novice elementary teachers are provided with the necessary scaffolds and supports that will empower them to engage in authentic and ambitious STEAM practices.

Reconciling The Divide: Common Processes In Science And Arts Education, Lori A. Fulton, Jamie Simpson-Steele

The STEAM Journal

Many see the sciences and arts as two distinct fields – one objective the other subjective; however, we see the two having more in common than different. These commonalities formed the basis for a STEAM framework, which examines the intersections of five processes: noticing, wondering, visualizing, exploring, and communicating. This framed a professional development workshop on STEAM for elementary teachers. Here we define and explore these processes through both science and art perspectives, and share examples of how each of these processes were integrated to support learning. We believe that STEAM provides a well-rounded experience, allowing learners to make connections …

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- …

The Role Of Sequence In The Experience Of Mathematical Beauty, Leslie Dietiker

Journal of Humanistic Mathematics

In this article, I analyze the aesthetic dimensions of a sequence of mathematical events found in an unusual first grade lesson in order to demonstrate how sequencing may affect an individual’s experience of mathematical beauty. By approaching aesthetic as a sense or felt quality of an experience in context (Sinclair, 2001, 2011), this analysis explains how sequence can affect the way mathematical objects or actions are experienced by an individual. Thus, rather than questioning whether or in what ways a set of mathematical objects are beautiful or not, this paper addresses under what conditions is the mathematics in play beautiful. …

Encouraging Teachers To W.A.I.T Before Engaging Students In Next Generation Science Standards Steam Activities., Mason Kuhn

The STEAM Journal

Effective art integration in K-12 curricula has clear benefits for classroom teachers (i.e. student achievement on standardized tests, student engagement, improving critical thinking). This paper proposes a framework based off of Claudia Cornett's levels of art integration. Teaching With About and In Through (WAIT) the arts can serve as a model for teachers who want to transform their science lesson to include art integration.

Reframing Steam Pd, Tiffiny Jackson

The STEAM Journal

The reflection addresses the important changes in approach to professional learning experiences in STEAM.

Engaging Many Minds: Nurturing Collaboration In A Steam Context, Mark Dzula

The STEAM Journal

This field note describes a recent interdisciplinary project facilitated by Jeremy Gercke, an art teacher at the Bishop's School in La Jolla, California. The project creates ceramic tile markers for flora around the Bishop's School campus. The markers feature QR codes linking to websites populated with student content, including: drawings, information, and oral histories. In this project, Mr. Gercke synthesizes his interests as an artist; maximizes his social connections to mentors, peers and students; and bridges disciplines to create opportunities for interdisciplinary (STEAM) inquiry.

Reflections On Math Students’ Circles: Two Personal Stories From Colorado, Diana White, Lori Ziegelmeier

Journal of Humanistic Mathematics

Math Students’ Circles provide an opportunity for mathematicians to work in their communities to engage young students in mathematics as a human, aesthetic, and social endeavor. Sometimes referred to simply as Math Circles, these venues give mathematicians experience in introducing children to topics not typically seen in school curricula in an exciting, hands-on format. This article explores two Math Students’ Circles (MSCs) in the state of Colorado from the point of view of two pre-tenure faculty members. One participated in MSCs for four years while working on her Ph.D. in mathematics, the other started an MSC as an offshoot of …