Education Commons^™

Fitting A Covid-19 Model Incorporating Senses Of Safety And Caution To Local Data From Spartanburg County, South Carolina, D. Chloe Griffin, Amanda Mangum

CODEE Journal

Common mechanistic models include Susceptible-Infected-Removed (SIR) and Susceptible-Exposed-Infected-Removed (SEIR) models. These models in their basic forms have generally failed to capture the nature of the COVID-19 pandemic's multiple waves and do not take into account public policies such as social distancing, mask mandates, and the ``Stay-at-Home'' orders implemented in early 2020. While the Susceptible-Vaccinated-Infected-Recovered-Deceased (SVIRD) model only adds two more compartments to the SIR model, the inclusion of time-dependent parameters allows for the model to better capture the first two waves of the COVID-19 pandemic when surveillance testing was common practice for a large portion of the population. We find …

Differential Equations For A Changing World:How To Engage Students In Learning And Applying Differential Equations, Biyong Luo

CODEE Journal

In this article, I share my decade-long experience teaching an intensive five-week summer Differential Equation course covering complex topics and tips for creating an interactive and supportive learning environment to optimize student engagement. This article provides my detailed approach to planning and teaching an asynchronous course with rigor and flexibility for each student. An interactive teaching approach and variety of learning activities will augment students’ mathematical fluency and appreciation of the importance of differential equations in modeling a wide variety of real-world situations with special attention to ways differential equations can be relevant to creating public policy.

Ode Models Of Wealth Concentration And Taxation, Bruce Boghosian, Christoph Borgers

CODEE Journal

We refer to an individual holding a non-negligible fraction of the country’s total wealth as an oligarch. We explain how a model due to Boghosian et al. can be used to explore the effects of taxation on the emergence of oligarchs. The model suggests that oligarchs will emerge when wealth taxation is below a certain threshold, not when it is above the threshold. The underlying mechanism is a transcritical bifurcation. The model also suggests that taxation of income and capital gains alone cannot prevent the emergence of oligarchs. We suggest several opportunities for students to explore modifications of the model.

Using A Sand Tank Groundwater Model To Investigate A Groundwater Flow Model, Christopher Evrard, Callie Johnson, Michael A. Karls, Nicole Regnier

CODEE Journal

A Sand Tank Groundwater Model is a tabletop physical model constructed of plexiglass and filled with sand that is typically used to illustrate how groundwater water flows through an aquifer, how water wells work, and the effects of contaminants introduced into an aquifer. Mathematically groundwater flow through an aquifer can be modeled with the heat equation. We will show how a Sand Tank Groundwater Model can be used to simulate groundwater flow through an aquifer with a no flow boundary condition.

Applying The Sir Model: Can Students Advise The Mayor Of A Small Community?, Carrin Goosen, Mark I. Nelson, Mahime Watanabe

CODEE Journal

This is an account of a modelling scenario that uses the sir epidemic model. It was used in a third year applied mathematics subject. All students were enrolled in a mathematics degree of some type. Students are presented with the results of a test carried out on 100 individuals in a community containing 3000 people. From this they determined the number of infectious and recovered individuals in the population. Given the per capita recovery rate and making a suitable assumption about the number of infectious individuals at the start of the epidemic, they then estimate the infectious contact rate and …

Raising Student Awareness Of Environmental Issues Via Writing Assignments With Differential Equations, Michelle L. Ghrist

CODEE Journal

In this paper, I discuss two environmentally-focused writing assignments that I developed and implemented in recent integral calculus and differential equations courses. These models of carbon storage and PCB’s in a river provide interesting applications of one-compartment mixing problems. The assignments were intended to focus student attention on sustainability concerns while also developing other essential skills. I discuss these assignments and their effect on my students’ technical writing and environmental awareness. Detailed introductory instructions and mostly complete solutions to these assignments appear in the appendices, to include sample student work.

Modeling Aircraft Takeoffs, Catherine Cavagnaro

CODEE Journal

Real-world applications can demonstrate how mathematical models describe and provide insight into familiar physical systems. In this paper, we apply techniques from a first-semester differential equations course that shed light on a problem from aviation. In particular, we construct several differential equations that model the distance that an aircraft requires to become airborne. A popular thumb rule that pilots have used for decades appears to emanate from one of these models. We will see that this rule does not follow from a representative model and suggest a better method of ensuring safety during takeoff. Aircraft safety is definitely a matter …

Solar Panels, Euler’S Method And Community-Based Projects: Connecting Differential Equations With Climate Change, Victor J. Donnay

CODEE Journal

How does mathematics connect with the search for solutions to the climate emergency? One simple connection, which can be explored in an introductory differential equations course, can be found by analyzing the energy generated by solar panels or wind turbines. The power generated by these devices is typically recorded at standard time intervals producing a data set which gives a discrete approximation to the power function $P(t)$. Using numerical techniques such as Euler’s method, one can determine the energy generated. Here we describe how we introduce the topic of solar power, apply Euler’s method to determine the energy generated, and …

Pre-Service Teachers Notice Student Thinking: Then What?, Tara Barnhart, Heather J. Johnson, Miray Tekkumru-Kisa

Education Faculty Articles and Research

Research has demonstrated that pre-service teachers (PSTs) can learn to notice students’ thinking in sophisticated ways by analyzing videos of classroom interactions. What is less clear is how PSTs use what they notice about student thinking to inform how they respond. Secondary math and science PSTs from three teacher preparation programs were invited to analyze a video clip identifying noteworthy moments of student thinking and describing an instructional move they might make and why. A qualitative analysis of their responses indicates that the PSTs overwhelmingly noticed both the substance and the source of students’ ideas. However, the patterns in their …

Coalescence: A Carnivore Coexistence Curriculum That Braids Indigenous & Western Ecological Knowledge Into A Relevant And Experiential Learning Opportunity For Youth, Stephanie Anne Barron

Graduate Student Theses, Dissertations, & Professional Papers

As grizzly bears (Ursus arctos horriblis) begin to reoccupy more of their historic range, and as humans and large carnivore populations continue to increase, incidences of human carnivore conflict are on the rise. A decolonial curriculum designed in collaboration with the Confederated Salish and Kootenai Tribe’s wildlife biologists stands to increase awareness of Indigenous ecological knowledge and teach youth about the importance of coexistence with carnivores. Additionally, this project could greatly influence youth perceptions of grizzly bears and other large carnivores. This research project examines the development and implementation of a carnivore coexistence curriculum for youth that is guided by …

An Expository Analysis Of Textbook Usage In Classical Settings For High School Biology, Kristen Bissontz

Master of Arts in Classical Studies

AN EXPOSITORY ANALYSIS OF TEXTBOOK USAGE IN CLASSICAL SETTINGS FOR HIGH SCHOOL BIOLOGY

Kristen Bissontz

Southeastern University, Lakeland FL

The classical model of education has reemerged as a viable alternative to the modern education system. Many of the disciplines taught in a classical school, program or home education scenario appear to align with the classical philosophy with the exception of the sciences. This paper serves to uncover if textbooks are the primary source in classical settings, what resources are utilized, and offers suggestions to better align with the classical pedagogy.

A small sample of classical schools and programs in a …

Investigating Prodigy Math Program To Improve Students' Success In Mathematics, Justin A. Bledsaw

Masters Theses

This study investigates whether Prodigy improves student achievement in mathematics; whether Prodigy improves, specifically, math achievement of special education students, students of different ethnicities, and students of different genders. Further, the study wanted to explore student perceptions of Prodigy. The study was conducted in two fifth grade classrooms with a total of 31 participants. Two mathematics units were utilized to compare; one on multiplying whole numbers and the other on dividing whole numbers. In addition, participants completed a survey and a focus group interview to find out participant perceptions of Prodigy. Results reveal that the whole group scored higher in …

Mentoring Student Teachers For Ambitious And Inclusive Science Teaching, Elizabeth B. Lewis, Elizabeth Hasseler, Karen Covil, Amy Tankersley, Susan Frack

Department of Teaching, Learning, and Teacher Education: Faculty Publications

Introduction: TPP Problem of Practice

Preparing Science Teachers for Teaching in Culturally Diverse Schools ● National average of 70% higher science teacher turnover in Title I versus non-Title I schools (Carver-Thomas & Darling-Hammond, 2017). ● Mismatch between teacher and student demographics; national teacher workforce is overwhelmingly white (and female) and a student population that has become increasingly racially and ethnically diverse. ● Longer, supervised teacher preparation internships have been linked to higher retention rates of new teachers (Carver-Thomas & Darling-Hammond, 2017), but… with more science teachers retiring, there are also fewer master science teachers to mentor preservice teachers.

Context: Our …

Initial Growth Of Inclusive Knowledge And Leadership Practices By Science Education Teacher-Leaders, Elizabeth B. Lewis, Elizabeth Hasseler, Rachel Benzoni, Gina S. Matkin

Department of Teaching, Learning, and Teacher Education: Faculty Publications

Introduction & Rationale for Study

● Science teachers are integral to the success of science education reform. ● Science education needs leaders from all parts of the field and system. ● However, science teachers have not been well-positioned for leadership.

Grant-funded Project & Study Focus

Project Phases, Objectives, & Timeline

Conceptual Framework

ACESSE Framework for Equitable Science Learning

Literature Review

Methodology: Approach, Research Question, & Participants, Data Sources & Analytic Methods

Noyce MTFs’ Science Teaching Experience & Certifications

MTFs’ School and District Demographics

Summary of MTFs’ Most Common Leadership Activities

Research Instrument and Analytic Lens

Cohort 1 & 2 Baseline …

Threshold Concepts In Quantitative Reasoning, Judith Canner, Jennifer E. Clinkenbeard

Numeracy

The idea of “threshold concepts” has been used to identify discipline-based concepts that are critical to that academic area. Threshold concepts are often difficult for students to assimilate in a meaningful way but, once done, can be powerful for the learner. In general, threshold concepts are 1) transformative to learner thinking; 2) bounded by the discipline; 3) integrative with other concepts; and 4) irreversible once understood (Meyer and Land 2003). This paper presents five threshold concepts in quantitative reasoning (QR) developed by transdisciplinary faculty workgroups that may be applicable for non-mathematics disciplines as well. They are as follows: 1) QR …

Women In Space Explorations Digital Choice Board, Robert W. Maloy, Torrey Trust

Digital Choice Boards and Interactive Learning Materials for Teachers and Students

This digital choice board invites students and teachers to:

• Design pages for a picture book or young adult book about Mae Jemison, the first African American woman in space.
• Write movie or TV show scripts about space explorations where women solve problems and demonstrate courage and commitment to justice and freedom.
• Have AI draft a science fiction story about women in space and then revise that story into a graphic novel.
• And many more ways to learn about herstories of women in space exploration.

Investigating Preservice Secondary Teachers’ Understanding And Enactment Of The Standards‑Based Practices During Microteaching, Deepika Menon, Diana S. Chang, Rosetta W. Ngugi

Department of Teaching, Learning, and Teacher Education: Faculty Publications

Reform efforts in K–12 science education have been gaining pace ever since the introduction of the Next Generation Science Standards (NGSS). The new vision calls for reconsidering teacher preparation programs to prepare future teachers who are confident and competent in delivering NGSS-based instruction. This study investigated the development of 27 preservice secondary science and mathematics teachers’ (PSTs’) knowledge and skills as they understand, interpret, and implement the NGSS, particularly science and engineering practices (SEPs), within the context of microteaching during a STEM methods course. Primary data sources include 12 videos of 40-minute-long microteaching lessons, self-reflections, semistructured and focus-group interviews, and …

Desarrollo Del Pensamiento Computacional A Través De Blockscad, Blockly Y La Resolución De Problemas En Matemáticas, Ángel-Alberto Magreñán-Ruiz, Rubén-Arístides González-Crespo, Cristina Jiménez-Hernández, Lara Orcos-Palma

Revista Española de Pedagogía

El desarrollo del pensamiento computacional se ha convertido en una de las prioridades educativas en varios países del mundo. En este artículo, se describen dos experiencias en el aula en las que se utilizan dos herramientas de programación por bloques. En la primera, solo se empleó BlocksCAD. En la segunda, se trabajó, además, con Blockly y con varios algoritmos matemáticos. El número de participantes en la experiencia fue de veintiocho en el grupo que solo utilizó Blockly y de trece en el que combinó el uso de ambas herramientas. Todos ellos cursaban tercero de educación secundaria (entre 14 y 15 …

Gender Differences In Achievement, Behavior, And Stem Interest Among Learners Using Minecraft, Maricel A. Esclamado, Ma. Mercedes T. Rodrigo

Department of Information Systems & Computer Science Faculty Publications

In this paper, we analyze how male and female learners differ in their in-game behaviors, knowledge assessment outcomes, and STEM interest using the What-If Hypothetical Implementations using Minecraft (WHIMC). We also investigate how male and female learners’ self-reported levels of frustration and boredom relate to these outcomes. We examine in-game data, out-of-game assessment data, self-reported frustration and boredom, and results of the STEM interest questionnaire (SIQ) from 175 Grade 8 learners from a school in the Philippines. We found that male learners tend to explore more than female learners. Both genders learn more through more exploration, making more observations, and …

Elementary Preservice Teachers' Conceptions And Ability To Develop And Assess Integrated Stem Lessons, Jelena Byers, Selina Bartels

Indiana STEM Education Conference

Elementary teacher preparation programs prepare their pre-service teachers (PSTs) to teach STEM. In this study, two teacher educators in the disciplines of science and mathematics utilized a modified “Draw a Science Teacher” (DASTT-C) framework (Thomas et al., 2001) and the Understanding by Design (UbD) framework (Wiggins & McTighe, 2005) to understand PSTs' conceptions of integrated STEM and how they plan and assess their lessons. This research brief discusses some of the results of 16 PSTs’ pre- and post-DASTT-C results as well as analysis of STEM lesson plans written during their third-year pre-service program.

Harmonizing Stem And Social Justice Mathematics: A Path To Global Equity And Empowerment, Rose Mbewe

Indiana STEM Education Conference

This study delves into the interconnectedness of science, technology, engineering, and mathematics (STEM) and social justice mathematics (SJM) to address pressing equitable global sustainable development and social justice issues. The research aims to understand how educators can effectively use SJM in STEM teaching to empower students as change agents for global equity by aligning mathematical tasks with the United Nations' 2030 agenda for Sustainable Development Goals (UN, 2015) and using them to address real-world injustices. The study unveils educators' pedagogical strategies for creating supportive learning environments and nurturing students' emotional well-being in STEM subjects. Educators who are conscious of social …

Proceedings Of The Ninth Annual Indiana Stem Education Conference: Resourcing Stem Education, William S. Walker Iii, Lynn A. Bryan, S. Selcen Guzey

Indiana STEM Education Conference

The Proceedings of the Ninth Annual Indiana STEM Education Conference are edited by the Center for Advancing the Teaching and Learning of STEM (CATALYST, https://www.education.purdue.edu/catalyst/) at Purdue University. The theme for the 2024 conference is Resourcing STEM Education. This year’s Indiana STEM Education Conference provides opportunities to learn about effective STEM education strategies, curriculum, and resources to engage students in integrated STEM learning opportunities and address the recently updated Indiana Academic Standards for Science and Computer Science, Indiana Academic Standards for Mathematics, and Indiana Academic Standards for Integrated STEM (https://www.in.gov/doe/students/indiana-academic-standards/).

The Impact Of Geospatial Contexts And Out-Of-School Experiences On Students' Stem Identity Formation, Hillary Ongoyo Omoze, Abigail Erskine, Asenath Odondi

Indiana STEM Education Conference

STEM teaching faces challenges in varied geospatial contexts (Mulvey et al., 2023), where place and space factors play a significant role. This research brief explores the influence of place and space in shaping students' STEM identities throughout their educational journey, with a specific emphasis on the role of out-of-school experiences in fostering student learning and interest in STEM careers, particularly among middle school students.

Implementing Integrated Stem Forensic And Soil Sciences Lab Activities To Promote Interest In Stem Careers, Mariah K. Stollar Awan, Caroline J. Rakowski

Indiana STEM Education Conference

We implemented forensic and soil science integrated STEM lab activities with 11 middle school youth at a 4-H day camp at Purdue University. STEM perceived knowledge increased overall for participants. However, the pre- and post-assessments did not show a statistically significant difference. More students also indicated STEM career interest after participating. Because this study was exploratory and had a small sample size, more research on these integrated STEM lab activities should be conducted with larger samples.

Does Stem Integration In High School Mathematics Classes In Underserved Schools Benefit Students' Standardized Testing Outcomes?, Steve Heinold

Indiana STEM Education Conference

STEM education in Indiana has become increasingly popular with, among many other factors, the recent focus by the Indiana Department of Education on the STEM workforce pipeline and school STEM certification (IDoE, 2023b). Some previous research has shown that integrating STEM into science classes and afterschool spaces has helped students from low-income communities catch up to their higher-income peers on assessments like high-stakes standardized testing (Bartell et al., 2008; Hurley, 2001; Weissglass, 2011). However, regarding STEM integration into mathematics classes, it can be more challenging than integration into other classes like science (Walker, 2016) and large gaps remain in the …

The Future Of Future City: A Stem Program, Jeffrey A. Nowak, Shelby Werling

Indiana STEM Education Conference

The idea of integrating science, technology, engineering, and mathematics (STEM) is still an enigma for many educators (Dare et al, 2021). Recent academic standards favor curricula that interweave the principles of integrated STEM into all content areas. Finding a “one size fits all” curriculum is challenging, perhaps even impossible. Future City is a national program that specializes in hands-on cross-curricular STEM education. Students work collaboratively using an engineering and design process to showcase their solutions to citywide sustainability issues. This research brief examines how educators can utilize the Future City program as the cornerstone of their STEM curriculum.

Applying A Sociopolitical Equity Framework To A Developmental Algebra Curriculum, Sarah Oppland-Cordell, Natalie Mcgathey, David Feikes, William S. Walker Iii, Brandon Sorge

Indiana STEM Education Conference

The Thinking With Algebra (TWA) curriculum, a National Science Foundation Project (DUE 2021414), applies a sociopolitical equity framework (Gutiérrez, 2012) to strengthen student participants’ mathematics achievement outcomes and mathematics identity development. Instructor and student data indicate improvements in these two dimensions. This project also expands knowledge about creating equitable math learning environments that support underrepresented students’ mathematical success.

The Multiple Usages Of Thinking With Algebra, David Feikes, Natalie Mcgathey, Sarah Oppland-Cordell, William S. Walker Iii, Brandon Sorge

Indiana STEM Education Conference

Thinking With Algebra (TWA) is a National Science Foundation Project (DUE 2021414) to develop a post-secondary curriculum for intermediate algebra. TWA focuses on six elements that align with building algebraic fluency with conceptual understanding, a mixed review approach, small-group work, and whole-class discussion (Feikes, et al., 2021). Using an equity lens (Oppland-Cordell et al., 2023), TWA is designed for students, including underrepresented students, who need additional mathematical supports at the college level. Seventeen college math instructors attended a workshop on the lessons and pedagogy in order to use TWA in their college courses. Feedback from instructors participating in the TWA …

Integrated Stem Education And Students' 21st Century Skills, Jung Han, Yunjin Lim, Woongbin Park, Kyongson Park

Indiana STEM Education Conference

This research investigates the impact of integrated STEM education on students' 21st century competencies, aiming to enhance science and engineering design teaching within a local design-based context. Specifically, the project targets high school students in a rural area and utilizes local contexts, including local rural knowledge and indigenous science knowledge, to facilitate STEM learning. The collaborative effort involves partnering high school environmental science and Technology and Engineering Educators, leveraging their diverse content expertise to teach students collaboratively as a science-technology and engineering teacher pair. Furthermore, university faculty members and industry partners provided support to create a STEM community of practice. …

The Manifestation Of Elementary Teachers’ Mathematical Identities: An Explanatory Mixed Methods Study, Kyle Brun

West Chester University Doctoral Projects

In the most simplistic form, mathematical identities manifest in the statements, “I am good at math” or “I am not good at math”. Once established, individuals’ identities influence how they interact and approach mathematical problem-solving (Bishop, 2012; Boaler, 2013; Boaler & Selling, 2017). The purpose of this mixed-method explanatory sequential study is to explore a deeper understanding of how elementary teachers’ mathematical identities influence their beliefs about effective math instruction. Utilizing an explanatory sequential mixed-method design, a questionnaire was used for the initial quantitative analysis of teachers' mathematical identities. Analysis of survey submissions identified three unique mathematical identity profiles. Two …