Digital Commons Network^™

Linear Ode Systems Having A Fundamental Matrix Of The Form F(Mt), Kevin L. Shirley, Vicky W. Klima

CODEE Journal

We interweave scaffolded problem statements with exposition and examples to support the reader as they explore specific linear systems of differential equations with variable coefficients, $\vec{x}'(t)=A(t)\vec{x}(t)$ and initial value $\vec{x}(0)$. We begin with a constant $n\times n$ matrix $M$ and a real or complex-valued function $f$, analytic at the eigenvalues of $M$ with $f(0) = 1$, and construct a linear system of differential equations with solutions $x(t)=f(Mt)\vec{x}(0)$, where $t$ is a parameter in some interval including zero. In general, the solutions to the resulting non-autonomous system are more difficult to analyze than solutions to the constant coefficient case. However, some …

Differential Equations For Modeling Pathways Leading To Diabetes Onset, Viktoria Savatorova, Aleksei Talonov

CODEE Journal

This paper presents a mathematical model that explains potential pathways leading to diabetes onset. By utilizing a system of nonlinear differential equations to describe the dynamics of the glucose regulatory system, the model can serve as a pedagogical tool for teaching and learning differential equations, dynamical systems, mathematical modeling, and introduction to biomathematics. Within this framework, students can analyze equilibrium solutions, investigate stability, assess parameter sensitivity, and explore the potential for bifurcations. Theoretical analysis is complemented by illustrative numerical examples. Instructors have the flexibility to adapt and incorporate suggested activities according to their teaching preferences and objectives.

Blended Genres: Pairing Picturebooks And Poems Across The Curriculum, William P. Bintz

Michigan Reading Journal

Abstract

This article reports on an action research project conducted by a teacher educator in literacy education as part of a graduate course entitled Reading and Writing across the Content Areas. The purpose of the project was to actively engage graduate students, all of whom were pre-service and in-service teachers, in a course-related project in which students developed and implemented blended genres across the curriculum. It begins by situating blended genres within the traditional notion of paired text as a curricular resource and instructional strategy to support the process of intertextuality. It provides a brief overview of the course-related …

Creating A New Border Culture In The Midst Of The Climate Crisis: Activism And Pedagogy Strategies For Teacher Preparation, Puneet S. Gill

Northwest Journal of Teacher Education

This paper documents the efforts of an activist group that came to teach about activist efforts, climate change/climate justice/climate crisis issues, and to create leaders in one border community. The leaders of this three-day workshop are a part of an activist organization named SOMOS Sunrise, the Latine constituency of the Sunrise movement. In this paper, I will analyze the climate change workshop training days and components of the workshops. Secondly, this paper will document a climate cohort education group conducted with undergraduate students and pre-service teachers the following summer. This climate cohort helped articulate art activism and public speaking opportunities …

Intersections Between Science And Social Justice: A Conversation With Liza Finkel, Liza Finkel, Maika Yeigh

Northwest Journal of Teacher Education

In preparation for the special issue: Cascading Crises: Power, Equity and Liberation, the Editors of NWJTE sat down for a conversation with Dr. Liza Finkel, a Science Teacher Educator in the Graduate School of Education and Counseling at Lewis & Clark College. Dr. Finkel’s passions include science (especially geology), finding intersections between science and social justice and helping new teachers learn to include those connections in their teaching, knitting, cooking, birding, and reading mystery novels with women protagonists.

Addressing Climate Change Anomie In Teacher Education, Teresa Anne Fowler

Northwest Journal of Teacher Education

This research project sought to understand how preservice teachers explore their relationship with Science and confidence in teaching about climate change in Science education amid a culture of denial regarding the impact of the climate crisis. Using data from three cohorts of students in an elementary Science methods course, this paper shares the context of climate change acceptance in the province of Alberta, Canada, the fossil fuel economic hub of Canada, and how using Journell’s framework for controversial issues alongside a critical energy literacy framework using inquiry, supported preservice teachers to address their hesitancy in Science classrooms to engage with …

Preservice Teachers Learning To Teach In An Anti-Racist/Climate-Justice Program: Challenges And Promises, Richard Sawyer

Northwest Journal of Teacher Education

The global climate crisis represents the most urgent problem facing the planet, impacting social, cultural, political, economic, and environmental dimensions of life. Alarmingly, it has impacted communities of color in disproportionate ways (Goddell, 2023; Pellow, 2013). The climate crisis, along with the intertwined context of racism, places a profound responsibility on social justice teacher educators to prioritize addressing these issues in teacher preparation. The intent of the following two case studies is to explore the impact of a project based teacher preparation program focused on cultural and environmental justice on the pedagogical knowledge and practice of teaching interns at the …

Predictors Of Student Success In College-Level General Chemistry, Elijah J. Engler, Clarice Ak Kelleher

Binghamton University Undergraduate Journal

Success in college-level general chemistry is important because it is a required course for many different STEM majors and student success in early STEM classes correlates with retention of students in STEM. Identifying factors associated with success and failure can give educators a better understanding of the warning signs to look out for in struggling students. This paper compares factors and behaviors with final grades in general chemistry courses at Binghamton University, including adjectives selected from a word bank (“valued,” “supported,” etc.), resources used, and opinion on group work as it relates to learning. Correlations were found between student adjective …

Comparison Of Dual Enrollment Student Grades In Introductory Biology College Dual-Enrollment Courses Taken In Texas High Schools Or Colleges For School Leaders, Cynthia A. Gallardo

School Leadership Review

Dual Enrollment (DE) or Dual Credit (DC) programs have become increasingly prevalent at both the high school and college settings. These programs enable students to earn both high school and college credit and get a head start on their college education. Additionally, students in these programs must take university core curriculum courses to fulfill their college education requirements. A course that several students take is Introductory to Biology, a STEM (Science, Technology, Engineering, and Mathematics) course. This course is an introductory science course and may present a challenge for students in that there is a large quantity of material discussed. …

Latinx Science Students’ Sense Of Belonging In Rural Wisconsin, Patrick Robinson, Cynthia Baeza, Luis Gonzalez-Quizhpe, Abigail Robinson, Diego Román, Katherine Ward

The Journal of Extension

This study explores the sense of belonging of rural middle and high school Latinx science students in Wisconsin. Between 2000 and 2015, the Latinx population was the fastest growing ethnic group in Wisconsin and increased by 95%. Yet, little is known about the experiences of these students in rural schools or their engagement in science learning. Our research contributes to addressing this knowledge gap and provides insights into Latinx student experiences relative to the science classroom and community. Our findings indicate that a primary determinant of Latinx science students’ positive sense of belonging is a positive relationship with their teachers.

The Impact Of A Mobile Application (Dr. Electron) On Science Attitudes And Self-Efficacy Among Eighth-Grade Students, Sulaiman M. Al-Balushi Prof., Huda A. Al Hosni Ph.D., Zahra S. Al Shukaili, Asma H. Al Salmi

International Journal for Research in Education

This study aimed to investigate the effectiveness of an enrichment mobile application based on the gamification approach (Dr. Electron) on the attitudes towards science and self-efficacy of eighth-grade students in the Sultanate of Oman amid the COVID-19 pandemic. A quasi-experimental design was employed, utilizing both pre-test and post-test control group designs. The study sample comprised 63 students, with 33 assigned to the experimental group and 30 to the control group. The study used Measurement instruments including a science attitude scale with a reliability coefficient of 0.86 and a self-efficacy scale with a reliability coefficient of 0.93. Results indicated statistically significant …

The Impact Of Using Gamified Augmented Reality In Developing Learning Engagement And Quality Of Learning Life Among Tenth-Grade Physics Students, Majed A. Alharthi Dr.

International Journal for Research in Education

The research aimed to examine the impact of gamified augmented reality (AR) on engagement in learning and the quality of educational life. The research sample included (90) tenth grade students distributed in three schools, and they were distributed into three groups of (30) students in each group, the first experimental group taught using gamified AR, the second experimental group taught using non- gamified AR, and the third is a control group taught in the usual way in the classroom, and each school included an independent group of research groups. A quasi-experimental design was adopted to study the impact of using …

Mutualism As Mutual Trust: An Ethnographic Case Study On An Elementary-School Teacher-Team Participation In A Science Pd Program, Olga Gould-Yakovleva, Xiufeng Liu

The Qualitative Report

This grounded in social constructivism yearlong ethnographic case study was conducted at the final stage of a larger, longitudinal, multisite, and multi-year project. The current research focused on a group of urban public elementary schoolteachers who volunteered to participate in the National Science Foundation (NSF)-funded interdisciplinary science and engineering partnership (ISEP) project. These teachers were enrolled in the professional development (PD) college courses in physics and engineering design, summer research in university laboratories, and interdisciplinary science inquiry (ISI) pedagogy sessions. This research sought to understand the factors which contributed to successful teamwork at the elementary school under investigation. Additionally, this …

From The Editors, Michele H. Koomen, Thomastine A. Sarchet-Maher, Jessica Williams

Journal of Science Education for Students with Disabilities

JSESD remains a venue for the dissemination of research and practice related to the education of students with disabilities in the science classroom and laboratory since 1998. Volumes #1 through 11 were published in a print format. Starting with Volume #12, the journal has been published online and Open Access. Having JSESD in the Open Access format maximizes access for readers and authors and allows the journal to remain economically sustainable. JSESD is proud to now be publishing articles in both PDF and HTML formats (the HTML versions can be accessed through a link from the main articles’ web-page).

Level Of Including The Fields Of Science, Technology, Engineering, Art, And Mathematics (Steam) In The Omani Science Curricula Content For Grades 5-8, Ahmed M. Al-Shukaili, Mohamed A. Shahat, Sameh S. Ismail

An-Najah University Journal for Research - B (Humanities)

This study aimed to determine the level of including the fields of Science, Technology, Engineering, Art, and Mathematics (STEAM) in the Omani science curricula content for Grades 5-8. To achieve the objectives of the study, a content analysis card was prepared by using the educational literature of previous studies and research. It consisted of six main areas with (34) indicators. To ensure the content analysis card's validity, it was presented to a group of experts specialized in the field of education. Cohen Kappa equation was used to ensure the instrument's reliability, which was (0.87) across individuals and (0.92) over time. …

Building Connections: The Power Of Embedding Literacy And Math Content Into Science And Social Studies Contexts, Rachel Hallett-Njuguna Edd

Constellations: Online STEM Teacher Education Journal

Nationally, the lack of improvement in literacy scores continues to baffle experts. Instructional leaders from math, science, and social studies in one district knew the value of leveraging their subject areas to support literacy achievement in secondary students. Starting with an engaging STEM-related novel, the group of curriculum experts developed meaningful literacy connected tasks for their teacher and teacher leader participants. Working through the activities as their students would, the group found a new appreciation for the importance of leveraging the relevance of science and social studies content and the usefulness of math content when creating literacy lessons. The group’s …

Table Of Contents

Early College Folio

(2023) "Table of Contents," Early College Folio: Vol. 3: Iss. 1, Article 1. Available at: https://digitalcommons.bard.edu/earlycollegefolio/vol3/iss1/1

Place-Based Education: A Pedagogy Of Community

The International Journal of Ecopsychology (IJE)

Every place, no matter how seemingly mundane or described as ‘exotic,’ has a story—a human story involving culture (history, language, migration, etc.); a natural story involving land and water, plants and animals, and other natural phenomena; and a story that combines the two—humans in the natural space and their impact on that space. The degree to which we know the story of a place informs our connection to that place, be it positive, negative, or neutral. The incorporation of these stories—the cultural, historical, and ecological stories of a place—into school curricula is known as place-based education (PBE) and is the …

“It’S Just Lines”: A Qualitative Analysis Of Emergent Structures And Experiences Within Steam Education Initiatives For Secondary-Level Students, John O'Meara

LASER Journal

This qualitative analysis is oriented around the experiences and discourse of high school students participating in LASER (Linking Art and Science through Education and Research), an initiative at Montclair State University in Montclair, NJ that seeks mathematics and physics education reform through an immersive and innovative approach to STEAM (Science, Technology, Engineering, Art, and Mathematics) experiences. This work focuses on the concluding task of a one-day workshop wherein students are led on a campus walk to observe the local campus architecture, and then must recreate one of the observed structures within the Desmos graphing utility. Student approaches and narratives reveal …

Polygon Quadrature And Dodecagonal Tessellation With Pattern Blocks, Gunhan Caglayan, Ben Kamau

Journal of Humanistic Mathematics

The age-old challenge of polygon quadrature involves converting a polygon into a square of equal area. In this educational resource, we utilize pattern blocks, commonly employed instructional aids in K-12 education across the United States, to visually demonstrate the transformation of different equilateral and regular pattern block polygons into squares. This is achieved through the application of the area conservation principle and geometric congruence/similarity reasoning.

Seating Groups And 'What A Coincidence!': Mathematics In The Making And How It Gets Presented, Peter J. Rowlett

Journal of Humanistic Mathematics

Mathematics is often presented as a neatly polished finished product, yet its development is messy and often full of mis-steps that could have been avoided with hindsight. An experience with a puzzle illustrates this conflict. The puzzle asks for the probability that a group of four and a group of two are seated adjacently within a hundred seats, and is solved using combinatorics techniques.

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 …

Sharing Four Biscuits Between Three People: An Illustrative Example Of How Mathematics Is Intertwined With Human Values, Lovisa Sumpter, David Sumpter

Journal of Humanistic Mathematics

Despite convincing arguments by mathematicians, philosophers, sociologists and machine learning practitioners to the contrary, there remains a widespread notion amongst many members of the general public (and some practitioners) that mathematics is neutral, that it is free from human values. One reason why this notion persists is that we lack clear-cut examples that demonstrate how mathematics and values are intertwined. In this paper, we offer one such example. In particular, we show that when sharing four biscuits between three people, several possible mathematical and ethical frameworks can be used. We demonstrate that different solutions—hiding one biscuit, arbitrarily sharing the extra …

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 …

Finding Your Mathematical Roots: Inclusion And Identity Development In Mathematics, Linda Mcguire

Journal of Humanistic Mathematics

This paper details a semester-long course project that has been successfully adapted for use in mathematics courses ranging from introductory level, general-education classes to advanced courses in the mathematics major. Through creating aspirational mathematical family trees and writing mathematical autobiographies, this assignment is designed to help battle belonging uncertainty, to challenge students to self-situate in relation to the history of mathematical and scientific knowledge, and to make visible a student’s developing identity in mathematics and, more broadly, in STEM.

The construction and scaffolding of the project, assignments, examples of student work, foundational readings, assessment and outcomes, and adaptation strategies for …

Numeracy Tasks: Inspiring Transfer Between Concrete And Abstract Thinking Spaces, Taras Gula, Miroslav Lovric

Numeracy

In our paper we build a case for conceptualizing numeracy tasks as distinct from mathematical tasks (or at least as a special type of mathematical task), and for abstraction and interpretation as a set of key activities necessary for designating a numeracy task as being high-quality. We start with an attempt to tame the fuzziness of numeracy and its family members (including quantitative reasoning, quantitative literacy, mathematical literacy, and the word problem cousins) by outlining six areas of consensus gleaned from literature. These provide the foundation for a core mandate of numeracy. We then build our case for the distinctness …

The Effectiveness Of An Educational Program In Developing Mathematical Achievement As Well As Developing Productive Struggle Among Students Of Intermediate Stage, Ibrahim A. Khalil Ph.D.

International Journal for Research in Education

This study aimed to identify the effectiveness of an educational program in developing Mathematical Achievement and productive struggle among students of intermediate stage. To fulfil its goals the study used the quasi-experimental approach, based on the design of two equivalent groups. It also used the Teacher's Guide - an activity booklet as study material, in addition to the use of two tools to collect data. One of them is an achievement test that included (three levels of mathematical knowledge related to equation and inequalities) and the other is a productive struggle scale (divided into three axes). The study sample consisted …

“That Cross-Curricular Business”: The Engineering Design Process In Mathematics And Science Classrooms, Eugenia Vomvoridi-Ivanovic, Tonisha B. Lane, Leia K. Cain, Salam Ahmad, Selene Willis, Jonathan E. Gaines

The Qualitative Report

The engineering design process (EDP) is one tool teachers can use to facilitate STEM integration. As part of a larger three-year longitudinal research project regarding engineering identity development among middle school youth in a summer robotics outreach program, this study aims to understand teachers’ willingness to incorporate engineering design in their classrooms through an exploration of their perceptions of the EDP, its applications to their subject matter and classroom context, methods of enacting the EDP, and perceived challenges to and supports for doing so. We conducted a qualitative case study and drew our results from focus groups and semi-structured interviews …

Special Issue On Public Policy: Front Matter

CODEE Journal

The Front Matter contains the Editor-in-Chief's Foreword, a Dedicatory by Associate Editor Douglas Meade, a Preface by the Special Editors Bev West and Samer Habre, and the Table of Contents.

Full Issue - Engaging The World: Differential Equations Can Influence Public Policies

CODEE Journal

This is the full issue (front matter and all papers) of the Third CODEE Special Issue, with the theme, "Engaging the World: Differential Equations can Influence Public Policies."