Education Commons^™

The Impact Of After-School Math Club On Elementary Student Math Anxiety, Caroline Virden, Lee Dean, Liza Bondurant

Journal of Math Circles

Many students experience math anxiety, which can harm mathematics achievement. Taking part in fun, hands-on, inquiry-based math activities has been shown to decrease student anxiety. For four semesters, we ran an after-school mathematics club at Presbyterian Day School in Cleveland, MS for students in grades 3-5. The activities and materials were supplied by Crazy 8s Math Club (a Bedtime Math company). In this manuscript, we share three specific activities that encouraged both student engagement and problem-solving skills. Then we discuss survey results from the Crazy 8s Math Club as they relate to lower student math anxiety.

A Summer Program Goes Online: How Beam Served Students From Marginalized Backgrounds During Covid, Ramya Ramaswamy, Javier Ronquillo Rivera

Journal of Math Circles

Most summers, BEAM runs free summer programs for mathematically talented middle school students from low income, historically marginalized communities. Our programs are designed to deepen students' problem solving and mathematical reasoning skills, to foster their love of math, and to build a community centered around peers all interested in mathematics.

This summer, in response to the pandemic, we made the decision to shift our summer programming online and operate virtually for the first time. We crafted a program that we hoped would sustain many of our original programming goals.

This paper outlines the decisions made, the variables that affected implementation, …

Incorporating Social Justice And Equity As Themes In Math Circles Online, Matthew Jones, Sharon Lanaghan, Carolyn Yarnall

Journal of Math Circles

The CSUDH Math Teachers' Circle chose a focus on equity and social justice in 2020. The national focus on social justice caused us to reflect on what we can do to affect change regarding issues of equity and social justice in our society. In addition, the global pandemic caused us to shift our circle online, which presented both obstacles and opportunities. In this paper, we expand upon how we addressed various challenges faced in facilitating an online Math Teachers’ Circle, focusing on our experience facilitating sessions focused on equity and social justice and participants' reactions to this experience.

Analysis Of Skills Sought By Employers Of Bachelors-Level Geoscientists, Gregory Shafer, Karen Viskuptic, Anne E. Egger

Geological Sciences Faculty Scholarship

Bachelors-level geoscientists make up the majority of the geoscience workforce, and positions for entry-level geoscientists are expected to grow rapidly over the next decade, with some jobs anticipating upward of 10% growth (National Center for O*NET Development, 2021). Are geoscience departments adequately preparing undergraduate students to succeed in these positions?

Learning From The Covid-19 Pandemic: How Faculty Experiences Can Prepare Us For Future System-Wide Disruption, Kathryn M. Bateman, Ellen Altermatt, Anne E. Egger, Ellen Iverson, Cathryn Manduca, Eric M. Riggs, Kristen St. John, Thomas F. Shipley

Geological Sciences Faculty Scholarship

The COVID-19 pandemic provided education researchers with a natural experiment: an opportunity to investigate the impacts of a system-wide, involuntary move to online teaching and to assess the characteristics of individuals who adapted more readily. To capture the impacts in real time, our team recruited college-level geoscience instructors through the National Association of Geoscience Teachers (NAGT) and American Geophysical Union (AGU) communities to participate in our study in the spring of 2020. Each weekday for three successive weeks, participants (n = 262) were asked to rate their experienced disruption in four domains: teaching, research, ability to communicate with their …

Community Roles For Supporting Emerging Education Researchers, Christopher A. F. Hass, Emilie Hancock, Samantha Wilson, Shams El-Adawy, Eleanor C. Sayre

Mathematics Faculty Scholarship

DBER attracts many faculty from other STEM disciplines, and these faculty have little or no specific training in DBER. DBER requires a mastery of quantitative, qualitative, and/or mixed methodologies, and also a nuanced understanding of breadth of topic, research questions, and theoretical frameworks. This interdisciplinarity is particularly challenging for emerging DBER researchers who often switch into DBER with only discipline specific content and research training. As part of a large study about how STEM faculty become involved with DBER, we interviewed a number of emerging DBER faculty about their pathways into DBER. We conducted a thematic analysis of these interviews …

Using Free And Open Source Software To Teach University Gis Courses Online: Lessons Learned During A Pandemic, Sterling Quinn

Geography Faculty Scholarship

During the remote learning necessitated by the COVID-19 pandemic, university GIS students did not always have home access to the kinds of software and hardware that they would ordinarily get in their on-campus lab facilities. In this situation, the free and cross-platform nature of FOSS opened the door for some students to continue their GIS education uninterrupted. In this article, I describe how one university allowed students to choose FOSS such as QGIS, PostGIS, and GeoDa as alternatives to proprietary software in upper-division GIS coursework. These were used to teach techniques such as point pattern analysis, visibility analysis, hydrological modeling, …

Integrating Common Data Analytics Tools Into Non-Technical Undergraduate Curricula, Kurt Kirstein

All Faculty Scholarship for the College of Education and Professional Studies

Aside from statistics courses, accessible data analytics skills are often excluded from traditional non-technical university programs. These are topics that are typically the domain of programs that focus on math, statistics and computer science. Yet the need for these skills in non-technical disciplines is changing. A rapid expansion of data-related processes in organizations of many types requires individuals who have at least a working knowledge of common analytic tools. This article briefly describes three categories of data analytics tools that can be useful for graduates in any discipline. The first category covers descriptive tools that allow students to learn what …

Can CP Be Less Than CV?, Yingbin Ge, Samuel L. Montgomery, Gabriel L. Borrello

All Faculty Scholarship for the College of the Sciences

Can C_P be less than C_V? This is a fundamental question in physics, chemistry, chemical engineering, and mechanical engineering. This question hangs in the minds of many students, instructors, and researchers. The first instinct is to answer “Yes, for water between 0 and 4 °C” if one knows that water expands as temperature decreases in this temperature range. The same question is asked in several Physical Chemistry and Physics textbooks. Students are supposed to answer that water contracts when heated at below 4 °C in an isobaric process. Because work is done to the contracting water, less …

Dots Explode In HawaiʻI, Veny Liu, Laurie James

Journal of Math Circles

Teachers are wonderful advocates of mathematics for future generations, and they are continually looking for ways to get students more engaged in mathematics. Through visuals and hands-on activities, the Exploding Dots concept can help teachers and students understand many elementary arithmetic and algebra topics. The implemented tasks promote problem-solving by allowing multiple entry points and varied solution strategies. This paper explored this idea beyond drawing clusters of dots by Locking Legos activity. With a thorough understanding of math content, participants in multiple Math Teachers’ Circle of Hawai‘i (MaTCH) meetings expressed confidence in creating and developing meaningful and relevant differentiated learning …

Math Escape Rooms: A Novel Approach For Engaging Learners In Math Circles, Janice F. Rech, Paula Jakopovic, Hannah Seidl, Greg Lawson, Rachel Pugh

Journal of Math Circles

Engaging middle and high school students in Math Circles requires time, planning and creativity. Finding novel approaches to maintain the interest of a variety of learners can be challenging. This paper outlines a model for developing and implementing math escape rooms as a unique structure for facilitating collaborative problem solving in a Math Circle. These escape rooms were designed and hosted by undergraduate secondary mathematics education majors. We provide possible structures for hosting escape rooms that could translate to a range of settings, as well as reflections and lessons learned through our experiences that could inform practitioners in other settings.

Mathematical Zendo: A Game Of Patterns And Logic, Philip Deorsey, Corey Pooler, Michael Ferrara

Journal of Math Circles

Mathematical Zendo is a logic game that actively engages participants in pattern recognition, problem solving, and critical thinking while providing a fun opportunity to explore all manner of mathematical objects. Based upon the popular game of Zendo, created by Looney Labs, Mathematical Zendo centers on a secret rule, chosen by the leader, that must be guessed by teams of players. In each round of the game, teams provide examples of the mathematical object of interest (e.g. functions, numbers, sets) and receive information about whether their guesses do or do not satisfy the secret rule. In this paper, we introduce Mathematical …

Dual-Axis Solar Tracker, Bryan Kennedy

All Undergraduate Projects

Renewable energies, and fuels that are not fossil fuel-based, are one of the prolific topics of debate in modern society. With climate change now becoming a primary focus for scientists and innovators of today, one of the areas for the largest amount of potential and growth is that of the capturing and utilization of Solar Energy. This method involves using a mechanical system to track the progression of the sun as it traverses the sky throughout the day. A dual-axis solar tracker such as the one designed and built for this project, can follow the sun both azimuthally and in …

Me, Myself, And I: The Impact Of Metacognitive Strategies On Student Locus Of Control And Critical Thinking Skills, Danielle Kuchler

All Master's Theses

We live in an era when a college degree is essentially required for entry into good-paying careers, and yet achievement of a college degree is unacceptably low. Only 60% of students who enroll go on to graduate from 4-year colleges and universities in 6 years or fewer (National Center for Higher Education 2018). Why is this happening? What are the long-term intellectual and economic implications of ill-prepared students? We must ask ourselves if students are really prepared with the knowledge, skills, and dispositions to be successful in college and whether those attributes are developed while in college. Two of the …

The Role Of Introductory Geoscience Courses In Preparing Teachers—And All Students—For The Future: Are We Making The Grade?, Anne E. Egger

Geological Sciences Faculty Scholarship

Introductory geoscience courses enroll hundreds of thousands of students a year, most of whom do not major in the geosciences. For many, including future K–12 teachers, an introductory course is the only place they will encounter Earth science at the college level. New standards for K–12 science education have profound implications for teacher preparation, particularly in Earth science. The new standards call for taking a systems approach, highlighting how humans interact with Earth, making use of science and engineering practices, and engaging students in discourse. Analysis of responses to the National Geoscience Faculty Survey (n = 813 in 2004; …

Mathamigos: A Community Mathematics Initiative, James C. Taylor, Delara Sharma, Shannon Rogers

Journal of Math Circles

We present a broad, and we think novel, community mathematics initiative in its early stages in Santa Fe, New Mexico. At every level, the program embraces community-wide collaboration—from the leadership team, to the elements of the mathematics being implemented (primarily math circles and the Global Math Project’s Exploding Dots), to the funding model. Our MathAmigos program falls within two categories of math circle-related programs: outreach and professional development (PD). In outreach, we work with the Santa Fe Public School district (administration, teachers, students, and parents) and the City of Santa Fe government (our funders via a two-year contract) in …

Connecting Mathematics And Community: Challenges, Successes, And Different Perspectives, Ariel Azbel, Margarita Azbel, Isabella F. Delbakhsh, Tami E. Heletz, Zeynep Teymuroglu

Journal of Math Circles

In this article, we summarize our personal journey to establish a successful math circle in a community that is not very familiar with such mathematics enrichment programs. We share the story of how our math circle began three years ago, as well as the lessons we learned and our organizational challenges and successes. Additionally, we outline three primary perspectives: the founder perspective, the student volunteer perspective, and the faculty volunteer perspective.

Modeling Tropical Diversity In The Undergraduate Classroom: Novel Curriculum To Engage Students In Authentic Scientific Practicesum To Engage Students In Authentic Scientific Practices, Jana Bouwma-Gearhart, Sarah Adumat, Allyson Rogan-Klyve, Andrew M. Bouwma

All Faculty Scholarship for the College of the Sciences

A feature of science is its production of evidence-based explanations. Scientific models can both provide causal explanations and be predictive of natural phenomena. Modeling-based inquiry (MBI) is a pedagogical strategy that promotes students’ deep learning about phenomena via engagement in authentic scientific practices. Some university instructors have begun to facilitate MBI in their courses, notably those aimed at aspiring K–12 science educators who, per the Next Generation Science Standards, are encouraged to implement MBI. Yet exploration of curriculum and teaching with MBI in postsecondary environments is scarce. We detail a novel MBI curriculum implemented in a postsecondary ecology course that …

The Signaling Problem: Using Exploding Dots To Solve An Accessible Mystery In An Elementary-Aged Math Circle, Rodi Steinig

Journal of Math Circles

Many people want to facilitate Math Circles for younger students but don’t know how. This article provides a model for how to create an engaging Math Circle for students aged 8-10 to explore different number bases and gives a detailed narrative to guide prospective instructors through the class. The narrative follows a group of eight students spending six weeks joyfully discovering underlying mathematical structure without being told what to do.

Exploding Dots At The Msu-Billings Math Circle, Tien Chih

Journal of Math Circles

Global Math Week is an annual event started by Dr. James Tanton and the Global Math Project, connecting students around the world with the mathematics of Exploding Dots. Exploding Dots is a reconceptualization of the mechanics of arithmetic, which allows for a visually intuitive and accessible representation of a variety of mathematical topics ranging from different base representations to the arithmetic of polynomials and series. In this manuscript, we describe the first implementation of Exploding Dots at the MSU-Billings Math Circle. The actual itemized agenda of the session is described, followed by highlights of the session and observations by the …

Commentary From The Field: Elimu Haina Mwisho “Education Has No Limits”, Erick Mathew

Journal of Math Circles

Commentary From the Field: ELIMU HAINA MWISHO “Education has no Limits”

Editorial Introduction To The Journal Of Math Circles, Emilie Hancock, Brandy Wiegers

Journal of Math Circles

Editorial Introduction to the Journal of Math Circles.

A Message From The Global Math Project Team, James Tanton

Journal of Math Circles

A Message From the Global Math Project Team

The Challenges For A Closed-To-The-Public Animal Sanctuary: Prioritizing Animal Welfare While Engaging In Educational Community Outreach, Lisa Tweed

All Master's Theses

Chimpanzee Sanctuary Northwest is a small primate sanctuary in Cle Elum, Washington, and is presently home to seven chimpanzees who were retired from biomedical research. I used this sanctuary as a case study to find out how a closed-to-the-public sanctuary can engage in educational outreach without compromising the welfare of the residents. I employed a combination of semi-structured interviews of sanctuary personnel, ethnographic participant-observation as a volunteer caregiver, and an online survey offered to the local community to help me understand the goals and limitations of sanctuaries. I also designed and conducted two educational programs for local area schools as …

Do Homework Trackers Affect Students’ Academic Performance?, Luisdaniel Barrera

All Master's Theses

With new state assessment requirements for high school graduation, teachers are focusing on different strategies to assist students to achieve those goals. Many teachers state that students who complete homework perform better academically. The current study analyzed whether homework planners (trackers) had any positive effect on the academic performance of 16 seventh grade students in a very small and rural school district. This was a mixed study (quantitative and qualitative). Students’ grades, district assessments, state assessments, and teacher surveys were analyzed. The results showed that students improved their math and English Language Arts (ELA) district assessment scores when compared from …

Using A Spreadsheet To Solve The SchröDinger Equations For The Energies Of The Ground Electronic State And The Two Lowest Excited States Of H2, Yingbin Ge, Robert C. Rittenhouse, Jacob C. Buchanan, Benjamin Livingston

All Faculty Scholarship for the College of the Sciences

We have designed an exercise suitable for a lab or project in an undergraduate physical chemistry course that creates a Microsoft Excel spreadsheet to calculate the energy of the S₀ ground electronic state and the S₁ and T₁ excited states of H₂. The spreadsheet calculations circumvent the construction and diagonalization of the Fock matrix and thus can be accomplished by any undergraduate chemistry student with basic calculus skills. The wave functions of the S₀, S₁, and T₁ states of H₂ are constructed from the symmetry-adapted bonding and antibonding molecular …

Updates To A Sequence Of Thermodynamics Experiments For Mechanical Engineering Technology Students, Roger A. Beardsley

All Faculty Scholarship for the School of Graduate Studies and Research

This paper presents an outline of thermodynamics experiments and lab activities that accompany the introductory thermodynamics course for Mechanical Engineering Technology juniors at Central Washington University (CWU) in Ellensburg, Washington. It outlines and describes the current suite of thermodynamics lab activities, comparing the current suite of seven lab activities to a sequence outlined in an ASEE conference paper presented in 1995. Some lab activities in that paper have been replaced, while others have been updated. For example an experiment to measure the Joule-Thomson coefficient has been replaced with a First Law energy balance activity and the former First Law experiment …

Preparing Algebra Students For Washington State’S End Of Course Exam, Mallory Jane Neher

All Graduate Projects

This project was a response to the changes in the Washington State math assessments for high school students. Algebra was the focus of this curriculum alignment and resources were created to better help Washington State students pass their Algebra End of Course exam. A significant part of the project was the course-pacing guide, standards mapping, and integrated content and language objectives that were written for key lessons that specifically addressed state standards. Lastly, there was a tool designed for students to monitor and track their own progress with the Algebra state standards.

Machine Design Lab: Using Automotive Transmission Examples To Reinforce Understanding Of Gear Train Analysis, Roger A. Beardsley, Charles O. Pringle

Engineering Technologies, Safety, and Construction Faculty Scholarship

In studying mechanical gear train analysis, some students struggle with relatively simple gear design concepts, and virtually all have difficulty with the complexities of planetary gear sets. This paper describes two labs developed for an undergraduate senior level machine design course. One lab uses a three-speed manual synchromesh transmission with parts of the case cut away to demonstrate the operation of the gears, shifting mechanism, bearings, and other aspects of the design. Students then count teeth and analyze the gear ratios using standard gear train analysis methods. The other lab uses a 1924 Ford Model T planetary transmission to observe …

Using Technology To Increase Interest In The Learning Of Mathematics, Teresa May Anderson

All Graduate Projects

The purpose of this project was to develop unit openers in the form of PowerPoint presentations to introduce students to upcoming topics. Within the PowerPoint presentations, relevant visual images are used to pique the interest of the students. Also, within the presentations are opportunities for students to use a hand-held Student Response System to respond to questions. The questions the students answer are related to the upcoming material. After responses are entered, a visual display will show the responses and discussion will follow between the students and the teacher. The project will be used in geometry mathematics classrooms at the …