Science and Mathematics Education Commons^™

Reimagining Teaching And Learning In Steam: Cultivating Sustainable Symbiotic Relationships Among Faculty And Students At An Hsi, Karin A. Lewis, Miryam Espinosa-Dulanto, Vejoya Viren, David Martinez-Prieto, Silvia P. Solis

Critical Proceedings of the STEM ED Conference (2023)

No abstract provided.

Steminism: Analyzing Factors That Improve Retention Of Women In Stem, Kira Carter, Jane Kelley, Jason Vasser-Elong, Rc Patterson

Dissertations

Our co-authored research ‘Steminism: Analyzing Factors That Improve Retention for Women as STEM Majors’ analyzed factors that contributed to the retention of women in science, technology, engineering, and mathematics (STEM) programs at Missouri University of Science & Technology (Missouri S&T). Women make up half of the US population, and while careers in (STEM) are an integral part of the US economy, women are underrepresented in these career fields. The purpose of our dissertation is to address the underrepresentation of women in STEM majors. Our methodology included homogeneous sampling to collect qualitative data. More specifically, we consulted with academic advisors and …

Using Trees To See A Forest: Leveraging Machine Learning To Classify Student Thinking, Darryl Chamberlain, Patrick Mcguinness, Emily Faulconer, Beverly Wood

Publications

ChatGPT has caught the world’s attention and has researchers considering the ways artificial intelligence can be integrated into human endeavors (Kasneci et al., 2023). This methodological poster will present a systematic method to apply a particular machine learning classification model, Decision Tree (Song & Lu, 2015), to perform and extend the scale of qualitative analysis in mathematics education research.

Using A Two-Way Engagement Community- And Family-Centered Pedagogy To Prepare Pre-Service Mathematics Teachers In A Hispanic-Serving Institution, Olga Ramirez, Mayra Ortiz Galarza, Luis M. Fernandez

School of Mathematical & Statistical Sciences Faculty Publications

Research on effective methods to prepare pre-service teachers (PSTs) in teaching mathematics to K-12 Latin* students has been gaining significant momentum. These efforts have focused, in part, on promoting pedagogical practices that recognize and incorporate the culture and language that K-12 Latin* students and their communities share. As teacher educators, we argue that if we are to further prepare PSTs to serve the needs of such increasingly diversifying K-12 student population, the same pedagogical focus on the learner’s cultural wealth should also be applied to the preparation of PSTs themselves, especially among Latin* PSTs in Hispanic Serving Institutions (HSI) like …

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 …

Cognitive Load Scale In Learning Formal Definition Of Limit: A Rasch Model Approach, Rina Oktaviyanthi, Ria Noviana Agus, Mark Lester B. Garcia, Kornkanok Lertdechapat

Mathematics Faculty Publications

Constructing proofs for the limit using the formal definition induces a high cognitive load. Common assessment tools, like cognitive load scales, lack specificity for the concept of limits. This research aims to validate an instrument tailored to assess cognitive load in students focused on the formal definition of limits, addressing the need for diverse strategies in education. The research employs a quantitative survey design with a Rasch model approach, utilizing a data collection instrument in the form of a questionnaire. Subsequently, the data are analyzed by focusing on three aspects: (1) item fit to the Rasch model, (2) unidimensionality, and …

Broadening Participation Of Teachers In Computing: Examining Postsecondary Educational Experiences And Prospective Educators’ Cs Teaching Interests, Robert Schwarzhaupt, Alexsandra Galanis, Joanna Goode, Kate Blanchard, Jill Bowdon, Joseph P. Wilson

Journal of Computer Science Integration

Teacher shortages in K–12 computer science (CS) education negatively impact students’ access to CS courses, exposure to CS concepts, and interest in CS-related careers. To address CS teacher shortages, this study seeks to understand factors related to expressing a preference to teach CS among prospective teachers. The study team analyzed data from 27,700 prospective teacher applications accepted into the 2016–2020 Teach For America (TFA) corps (cohorts). The TFA corps is an alternative teacher development program that recruits and prepares participants to obtain their teaching certification while they work for at least two years in underserved communities on a temporary teaching …

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 …

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 …

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 …

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 …

Easy, Bright, Fluorescence Demonstration Of Buffer Action, Mariana Dykstra, Yejin Chung, Mark Muyskens

University Faculty Publications and Creative Works

We report an attractive update to the demonstration of acid–base buffer action that is appropriate for ease of use and getting attention in the classroom. The twist is based on new fluorophore information and the recent availability of UV flashlights serving as an ideal, portable excitation light source. The pH-dependent fluorescence comes from a choice among three natural sources, namely narra tree wood extract, kidneywood extract, and scopoletin, which is a purchasable coumarin, that all perform equally well. We provide practical details for performing the buffer demonstration at scales of 100 and 1000 mL and give background information for context.

“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 …