Science and Mathematics 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 …

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 …

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.

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 …

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.

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 …

Ethnographic Narrative Project, Kimberly Goodwin

CGU Theses & Dissertations

This paper details the journey of a first-year teacher. It is a highly reflective exploration of their inner landscape – one that documents the development of the teaching self in relation to students and society at large. Separated into four distinct sections, this work serves as an account of personal motivation to teach, getting to know students beyond the classroom walls, immersion in the community to situate educational work, and a comprehensive reflection upon teaching effectiveness and the evolution of the educating self. Development as a professional educator as stated in Teacher Performance Expectation (TPE) 6 demands continual introspection and …

Putting Educational Reform Into Practice: The Impact Of The No Child Left Behind Act On Students, Teachers, And Schools, Timothy Song

CMC Senior Theses

This thesis seeks to investigate the effects of the No Child Left Behind Act (NCLB) on U.S. student achievement and teacher effectiveness. By combining the results from various data sources, I am able to indicate the levels of student preparedness, school spending, and specific classroom practices. After an analysis of my results, I suggest that NCLB has found moderate success in increasing the level of math preparedness for younger students from historically disadvantaged backgrounds. On the other hand, the data also suggests that there have been no statistically significant gains in reading achievement after the implementation of NCLB. Additionally, spending …

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 …

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.

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.

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 …

What Is So Negative About Negative Exponents?, Geoffrey D. Dietz

Journal of Humanistic Mathematics

While teaching college-level mathematics (from College Algebra to Calculus to Abstract Algebra), I have observed that students are often uncomfortable using negative exponents in calculations. I believe the fault partially lies in the manner in which negative exponents are taught in Algebra 1 or Algebra 2 courses, especially in rigid instructions always to write answers using only positive exponents. After reviewing a sample of algebra texts used in the United States over the last two centuries, it appears that while attitudes toward negative exponents have varied from author to author over time, the current trend is to declare explicitly that …

An Investigation Of Teachers’ Noticing, Cognitive Demand, And Mathematical Knowledge For Teaching: Video Reflections In An Elementary Mathematics Context, Lorelei R. Coddington

CGU Theses & Dissertations

In the past decade, mathematics performance by all students, especially minority students in low socioeconomic schools, has shown limited improvement nationwide (NCES, 2011). Traditionally in the United States, mathematics has consisted of arithmetic and computational fluency; however, mathematics researchers widely believe that this method of instruction does not enhance the development of mathematical reasoning and ignores the research on students’ mathematical development (Blanton & Kaput, 2005; Stigler & Hiebert, 1999). Recommendations by the mathematics community are to broaden and strengthen teacher content knowledge in mathematics and to provide the pedagogical tools needed by teachers to extend their students’ thinking and …

Cultural Immersion And Mathematics Teacher Education: Explorations In Morocco And South Africa, Kori L.H. Maxwell, Iman C. Chahine

Journal of Humanistic Mathematics

This article examines the first author's personal experiences as a mathematics educator studying ethnomathematics and indigenous knowledge systems (IKS) through immersion in indigenous cultures. In describing these encounters, we highlight the importance and impact of cultural immersion experiences on educators' perspectives regarding the nature of mathematical knowledge. We argue that cultural immersion not only builds a well-rounded individual, but also provides educators with the necessary tools to maintain relevance in the diverse and constantly evolving landscape that is the classroom. Insights gained from this study have direct implications in our teaching practices as they remind us to be mindful of …

Landscapes To Learnscapes: Exploring Schoolyard-Based Education, Emily I. Palena, Caroline T. Spurgin

Pitzer Senior Theses

This thesis explores schoolyard-based education as a viable and necessary method for rectifying the shortcomings within the American public school system and the Nature-deficit Disorder epidemic. We argue that schoolyard-based education should be fully integrated into the school system, not in the sole form of popularized school gardens, but as a standard teaching method. We show this using extensive research and a case study of three elementary schools in Claremont, California.

Full Steam Ahead – A Collaborative Colloquium, Hilary Dito

The STEAM Journal

On February 2, 2012, Contra Costa County Office of Education organized its 2^nd Annual STEAM Colloquium: Full STEAM Ahead. This forum brought together over 150 educators, business leaders and community members to discuss and share best practices in Science, Technology, Engineering, Arts and Mathematics (STEAM) education

At The Gate Of Discovery, Jan Nordgreen

Journal of Humanistic Mathematics

This is the story of how a mathematical problem was discovered. Although it was never solved, it gave great joy to the discoverer.

We Could All Be Having So Much More Fun! A Case For The History Of Mathematics In Education., Louise Anderton, David Wright

Journal of Humanistic Mathematics

Many students experience mathematics as ahistorical and acultural. We review the philosophical roots of this experience and pose alternatives. We argue that there is evidence that the inclusion of a historical dimension into the teaching of mathematics courses at all levels, combined with an ‘active’ approach to learning, will improve motivation and achievement.

Popular Cultural Portrayals Of Those Who Do Mathematics, Carmen M. Latterell, Janelle L. Wilson

Humanistic Mathematics Network Journal

This article examines the popular cultural portrayals of mathematicians, but also anyone who does mathematics. Themes occurring in comic strips, television programs, literature, and, especially, in the movies are examined. Implications discussed include that secondary students are not going to be willing to do mathematics, if doing mathematics is not presented as a cultural activity.

An Integration Of Chemistry, Biology, And Physics: The Interdisciplinary Laboratory, Gerald R. Van Hecke, Kerry K. Karukstis, Richard C. Haskell, Catherine S. Mcfadden, F Sheldon Wettack

All HMC Faculty Publications and Research

As a new venture to integrate research and education, a pilot section of a first-year laboratory sequence known as the Interdisciplinary Laboratory (ID Lab) was introduced on the Harvey Mudd campus during the 1999–2000 academic year and continues to be offered. The ID Lab attempts to bridge laboratory experiences from biology, chemistry, and physics for the first-year student. Taught by a team of faculty from these disciplines, the course seeks both to illustrate commonality of investigative methods and laboratory techniques in these sciences and to introduce discipline-specific principles. Experiments with a chemistry component include the Molecular Weight of Macromolecules, the …

Divisibility: A Problem Solving Approach Through Generalizing And Specializing, Rina Zazkis

Humanistic Mathematics Network Journal

This paper describes a divisibility rule for any prime number as an engaging problem-solving activity for preservice secondary school mathematics teachers.