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 …

Teacher Education Program Recruitment And Admissions: A Multiple Case Study Of Three Minority-Serving Institutions In California, Mayeen Quader

CGU Theses & Dissertations

In response to a national agenda to increase diversity in the teaching workforce, this qualitative multiple case study critically examined the recruitment and admission of Black, Indigenous and People of Color (BIPOC) to teacher education programs (TEP) in three Minority Serving Institutions (MSI) in California. Specifically, this research explored the racialized discourses and factors that shape recruitment and admissions within TEPs and supports and barriers for BIPOC teachers. This study is grounded in Critical Race Theory, Critical Whiteness Studies with a Critical Discourse Analysis of recruitment and admissions policies on TEP websites and documents, four observations of TEP virtual information …

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 …

Teacher Self-Efficacy And Mathematics Achievement Among Racial And Ethnic Minority Students: Evidence From The High School Longitudinal Study Of 2009, Eliud Partida

CGU Theses & Dissertations

Current data suggests that for every 1000 U.S. high school students only about a dozen from Racial and Ethnic Minority (REM) groups will obtain a STEM degree and pursue a STEM occupation. These numbers underscore the wealth of untapped talent in our high schools and the pressing need to broaden participation among REM students in STEM. Yet, policies aimed at improving teacher quality as a vehicle for broadening participation of REM students in STEM use measures that at best, are only weakly associated with positive educational outcomes for REM students. This study contributes an ecological perspective and analysis to advance …

Ethnography: Building A Thriving Classroom Community In The Face Of A Pandemic, Joshua Timothy Jackson

Claremont Graduate University School of Education Teacher Education

A dive into the ride of a first-year teacher, which was also taught an entire year virtually. An extremely intensive look into the skills needed to grow as a secondary school teacher, in a situation that has never been experienced before. This paper also explores the foundations and scaffolds a teacher needs in order to become both a critical and socially just educator for all students within their classroom. The aspect of community is felt heavily throughout this journey, and the idea that communities are the very keystone of every single classroom; student-to-teacher community, student-to-student community, and classroom-to-household community are …

Hope In A Time Of Global Unrest: An Ethnographic Study, Sabrina Hanson

Claremont Graduate University School of Education Teacher Education

This paper documents the observations, struggles, and insights of a first year teacher. It is a year-long documentation of the search for hope during a global pandemic that affected the way schools functioned and how students learned. This work is in three distinct sections. The first section is a self-reflection of identity and why this teacher chose teaching as a profession. The second section is focused on two of their students, one who is immunocompromised, and one who has significant learning challenges, and how they navigated the quarantine during the pandemic through their expression of learning. The third section reflects …

Preparing Teachers & Teacher Education Professionals For Dimensions Of Diversity: A Study Of Pedagogical Responses To Diversity In Distance Learning And Traditional Instruction, Rocky Blessey-Bragg

CGU Theses & Dissertations

This qualitative study framed in Albert Bandura’s Self-Efficacy theory involved 6 teachers from Chaffey Joint Union high School District and 8 teacher education professionals from teacher education programs in southern and central California. It examined reported pedagogical strategies in responding to specific dimensions of classroom diversity: culture, readiness and economics. Participants took Bandura’s Self-Efficacy survey prior to the first of two semi-structured interviews. In the second of those interviews, each group had the opportunity to react to findings from the first round of interviews from their own group and the opposite, as to how their perceptions of diversity have evolved …

Remote Learning In The Era Of Covid-19: Accounting For Students' Personal Verve, Marissa Langley

Scripps Senior Theses

This study focuses on accommodating remote academic lessons for students’ personal verve levels. Personal verve is defined as the ability to adapt to and concentrate in environments with high levels of stimulation. The sociocultural psychologists Boykin discerned higher verve levels in Black communities compared to White communities. Boykin found that many Black students tend to learn best in high verve conditions, which incorporate aspects of African American culture like group work, varied activities, movement and noise, as opposed to traditional low verve conditions which consist of sitting quietly at a desk during lectures. White students tend to have low personal …

Towards A Participatory Epistemology: Latinx Poetry In Us High School English Classrooms, Sarah Ceja

CMC Senior Theses

This thesis combines academic interests in Latinx literature (specifically poetry) and education. Focusing specifically on inner-city U.S. high schools with high Latinx student populations, I research how we can incorporate poetry written by Latinx authors in our curriculum to help foster student engagement and a sense of belonging in the classroom. The second half of this thesis explores the works of several Latinx poets. It provides a detailed analysis of their work, how it relates to various aspects of Latinx identities, and gives recommendations for educators on how to use these poems in class.

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.

Perfecting The Craft Of Teaching, Stephanie Nunez

CGU Theses & Dissertations

This ethnographic narrative follows my journey as a fifth grade teacher in the greater Los Angeles area. The purpose of this ethnography is to follow the development of my journey as a first-year teacher. In this ethnography, I explore my positionality and the levels of community, school, and classroom as ways to inform and improve my teaching practices as a social-justice educator. I begin this four part narrative by discussing my positionality and how it relates to my desires of becoming a teacher. Through this narrative, I was then able to conduct three case studies of students with different identities …

Transcending Compromise: Principal Practices Predicting Teacher Effectiveness And Teacher Morale, David George Grant

CGU Theses & Dissertations

Two leadership styles have dominated the literature- instructional leadership and transformational leadership. No study could be found quantitatively integrating principal practices from these styles in ways that simultaneously predicted teacher effectiveness and teacher morale. Therefore, this study sought to better understand the complex relationships between principal practices, teacher effectiveness and teacher morale. First, this study synthesized meta analyses of principal effects for studies produced between 1978-2008 and presented a unique empirically grounded integration framework summarizing principal effects for student achievement and teacher morale. Second, the study used this framework to explore four research questions. An online survey was utilized to …

The Impact Of A University/Online Program Management Provider Partnership On Faculty Approaches To Teaching Design: A Case Study Using Activity Theory, Swati Ramani

CGU Theses & Dissertations

As the number of online courses increase in Higher Education, many higher education institutions outsource online course development to an Online Program Management (OPM) provider because of a lack of budget, staff, and technology. Current research indicates that OPMs often do not have instructional design (ID) services tailored to a specific university. This research uses a Case Study in order to analyze how the nature and dynamics of a business partnership between a research university and an OPM provider impact faculty engagement and development of pedagogical and technological knowledge. They Activity Theory conceptual framework was used to direct inquiry and …

Hwalbay Ginya Misi', Elise-Alexandria Green

CGU Theses & Dissertations

My life experiences shape me as who I am as an educator. I walk with the knowledge of my ancestors and the protection of the creator. The path of which I walk is full of obstacles and challenges. I use my positionality to put myself in the shoes of my students. I am more than what I appear to be. I am a sister, daughter, student, and educator. In the Hualapai language, Hwalbay ginya misi’, translates to “Hualapai sister and daughter”. I use this title to reflect my identity and honor my culture. My ethnography describes my experience as a …

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.

Realities Of The First-Year Of Teaching Research On The Inspiration Behind, Reality Of, And Effects Of A First-Year Teacher., Rebecca Peterson

CGU Theses & Dissertations

The purpose of this research was to identify the factors which lend to and negatively impact student success, taking a specific look at the Pomona area and tracking the experiences of one first-year teacher and three of their students throughout an entire academic year in the charter school setting. Beginning with research on the experiences and beliefs which motivated an individual teacher to join the field of education, it then assesses how the academic and cultural backgrounds of three different students lend to their overall identity and school success. The latter research identifies factors within the city itself which affect …

Parent Involvement In Contested Times: A Brief Analysis Of The Effects Of Anti-Immigrant Policies On Latinx Immigrant Parent Involvement, Maria Isabel Morales

CGU Theses & Dissertations

How do perceived community and school cultural values affect Latinx immigrant parents’ decisions to engage with their children’s schools? What lessons might their experiences have for our understanding of parent involvement beyond the parameters of traditional models of parent involvement? Engaging parents as advocates for school success in the home is particularly important for English Language Learners (ELs). Tapping into the experiences of EL parents is a resource educators can use to increase parental involvement and, consequently, student academic achievement.

This qualitative case study grounded in Critical Inquiry and Cultural Historic Activity Theory examined the perceptions and experiences of 5 …