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Articles 1 - 30 of 124
Full-Text Articles in Science and Mathematics Education
The Perspective Of An Alumnus, Rifah Tasnim
Editor’S Note, Amanda Landi
Contributors
Early College Folio
Contributors, Early College Folio, Volume 3, Issue 1 (2024).
7th International Conference On Creative Mathematical Sciences Communication (Cmsc`24), Frances A. Rosamond
7th International Conference On Creative Mathematical Sciences Communication (Cmsc`24), Frances A. Rosamond
Journal of Humanistic Mathematics
The 7th International Creative Mathematical Sciences Communication (CMSC) conference is scheduled for October 2024 in Trier, Germany. Initiated in Darwin, Australia in 2013, CMSC aims to explore novel methods of imparting computational thinking to diverse audiences including non-specialists, modern citizens, and children. Participants from around the world and from various and interdisciplinary disciplines such as science, education, dance, drama, and visual arts convene to exchange ideas, present experimental approaches, and collaborate on engaging children in the exploration of ongoing, unresolved research challenges.
Sociomathematical Norms And Automated Proof Checking In Mathematical Education: Reflections And Experiences, Merlin Carl
Sociomathematical Norms And Automated Proof Checking In Mathematical Education: Reflections And Experiences, Merlin Carl
Journal of Humanistic Mathematics
According to a widely held view, mathematical proofs are essentially (indications of) formal derivations, and thus in principle mechanically checkable (this view is defended, for example, by Azzouni [3]). This should in particular hold for the kind of simple proof exercises typically given to students of mathematics learning to write proofs. If that is so, then automated proof checking should be an attractive option for math education at the undergraduate level. An opposing view would be that mathematical proofs are social objects and that what constitutes a mathematical proof can thus not be separated from the social context in which …
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
Polygon Quadrature And Dodecagonal Tessellation With Pattern Blocks, Gunhan Caglayan, Ben Kamau
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
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.
Sharing Four Biscuits Between Three People: An Illustrative Example Of How Mathematics Is Intertwined With Human Values, Lovisa Sumpter, David Sumpter
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
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
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 …
Faith And Stem Education: A Path To Mutual Elevation In Catholic Schools, Michael Szopiak, Matthew Kloser
Faith And Stem Education: A Path To Mutual Elevation In Catholic Schools, Michael Szopiak, Matthew Kloser
Journal of Catholic Education
Amidst increasing religious disaffiliation, often due to a perceived tension between faith and the STEM disciplines, Catholic schools provide critical opportunities for young people to recognize how these domains can be mutually elevating. The field, however, lacks guidance as to how this integration should occur in practice. This conceptual paper first provides an overarching framework for how aspects of the Catholic tradition, like Scripture and the Catholic social tradition, can shape traditional educational domains of STEM teaching and learning. Secondly, we provide a heuristic of three criteria for deeply engaging students at the interface of the Catholic faith and the …
Reducing Food Scarcity: The Benefits Of Urban Farming, S.A. Claudell, Emilio Mejia
Reducing Food Scarcity: The Benefits Of Urban Farming, S.A. Claudell, Emilio Mejia
Journal of Nonprofit Innovation
Urban farming can enhance the lives of communities and help reduce food scarcity. This paper presents a conceptual prototype of an efficient urban farming community that can be scaled for a single apartment building or an entire community across all global geoeconomics regions, including densely populated cities and rural, developing towns and communities. When deployed in coordination with smart crop choices, local farm support, and efficient transportation then the result isn’t just sustainability, but also increasing fresh produce accessibility, optimizing nutritional value, eliminating the use of ‘forever chemicals’, reducing transportation costs, and fostering global environmental benefits.
Imagine Doris, who is …
Creating Mandalas For World Peace While Incorporating Mathematics, Art, Literature, Writing, And Technology, Joseph M. Furner
Creating Mandalas For World Peace While Incorporating Mathematics, Art, Literature, Writing, And Technology, Joseph M. Furner
Transformations
Across the USA there are more and more students whose parents are from around the world. It is important teachers can effectively teach mathematics to reach all students, particularly those with limited English proficiency, while establishing interdisciplinary and cultural connections and even working toward world peace. The purpose of this paper is to share how a class of students from an elementary school in South Florida with their teacher created mandalas to teach mathematics, art, writing, and even world peace to their students. Math teachers should strive to bridge the cultural gap among all students by incorporating innovative ideas as …
Synesthesia: 3.1415... Orange.Whiteperiwinklewhiteblue..., Shelly Sheats Harkness, Bethany A. Noblitt, Nicole Giesbers
Synesthesia: 3.1415... Orange.Whiteperiwinklewhiteblue..., Shelly Sheats Harkness, Bethany A. Noblitt, Nicole Giesbers
Journal of Humanistic Mathematics
In this paper we address the questions: What is synesthesia? What support(s) can teachers provide for their students who have synesthesia? Nicole, a future mathematics teacher who possesses this synesthesia “superpower”, describes how it impacted her learning. We collected data for this case study through an audio-recorded and transcribed interview, as well as from subsequent email correspondence between the three authors. We asked Nicole three kinds of questions: questions she is frequently asked, questions she would like to be asked, and questions teachers (like Shelly and Beth) might ask. Results indicate that synesthesia may have helped Nicole learn English as …
Review: Teaching Stem To First Generation College Students: A Guidebook For Faculty And Future Faculty By Gail Horowitz, Jessica S. Robbins
Review: Teaching Stem To First Generation College Students: A Guidebook For Faculty And Future Faculty By Gail Horowitz, Jessica S. Robbins
Early College Folio
Book Review: Gail Horowitz’s Teaching STEM to First Generation College Students: A Guidebook for Faculty and Future Faculty (Information Age Publishing, 2019). Horowitz taught chemistry at Bard High School Early College Newark.
Artist Into An Educator—Educator Inside An Artist, Raheela Qabool Abro Ms
Artist Into An Educator—Educator Inside An Artist, Raheela Qabool Abro Ms
Early College Folio
This study is a self-investigation of the author's identity by exploring her two professions: an artist as well as an art educator. Her insights as an educator provided a background for her as an artist through the production of this series of miniature artworks created with cell phone SIM cards. A SIM card, which stands for “Subscriber Identification Module,” contains information tied to the identity of the individual using it. For this reason, the author chose it as a medium for creating an art series to represent identity. In the dialogue of artist and educator, Abro confronts changes to the …
Teaching Food Studies In Early College: Experiments In Collaboration, Cynthia Brown, Maryann Tebben
Teaching Food Studies In Early College: Experiments In Collaboration, Cynthia Brown, Maryann Tebben
Early College Folio
This article outlines the process of designing and teaching a collaborative course on sustainable food and agriculture on multiple campuses at once, including two early college institutions. The authors offer insights on the specific elements of the course they designed as well as methods for designing the course, what worked in practice, and what they would change. This article will be useful for faculty who would like to work with other early college colleagues to plan a collaborative course in general or a specific course on sustainable food and farms.
Commitment To Access: A Conversation About The Unconventional And College-In-Prison, Elías Beltrán, Megan Callaghan
Commitment To Access: A Conversation About The Unconventional And College-In-Prison, Elías Beltrán, Megan Callaghan
Early College Folio
The Bard Prison Initiative (BPI) currently operates full-tuition scholarship Bard College degree programs across seven New York State prisons, three Microcollege campuses created in partnership with community-based institutions, and on the Annandale campus of Bard College, where adult students are completing degrees through the BardBac. Since 2005 when the first degrees were granted to BPI students, the program has issued over 5,000 credits and more than 700 degrees.
This conversation between BPI alumnus Elías Beltrán, who earned his Bard College bachelor’s degree in 2017 while incarcerated, and Megan Callaghan, the program’s Dean, touches upon Elías’s upcoming transition to BPI faculty, …
Rolling A Boulder Up A Mountain: The Path To Higher Education In Displacement Concepts, Rebecca Granato
Rolling A Boulder Up A Mountain: The Path To Higher Education In Displacement Concepts, Rebecca Granato
Early College Folio
Students in contexts affected by displacement and forced migration are at a disadvantage when it comes to accessing and successfully completing higher education, as well as translating their learning into post-graduation opportunities. Universities with clear social missions and networks of institutions have the power and the obligation to support the creation of “opportunities pipelines” for these populations.
Solving Higher Education In Burma, The Global South, And Beyond, Myat Su San
Solving Higher Education In Burma, The Global South, And Beyond, Myat Su San
Early College Folio
By introducing readers to a migrant student from Burma, the author unpacks the longstanding and increasingly complicated barriers to higher education, which many students face across the Global South. Readers are then introduced to one institution seeking to dismantle those barriers through innovation and expansive access, Parami University.
Move, May Honey Maung
Move, May Honey Maung
Early College Folio
“Move” is a call to action that urges leaders to work together to create a world where education is accessible and inclusive to everyone regardless of their socioeconomic status or background. Drawing inspiration from the author’s own educational experiences as both a student and employee of Phaung Daw Oo, this poem is a reminder that education is not a privilege but a fundamental human right; we all have a responsibility to ensure that it is available to all learners. The author—whose country is currently facing violence and economic and educational instability due to a February 2021 coup d’état—relays the hopeful …
Case Study: Phaung Daw Oo International University, Yee Wai Than Ma
Case Study: Phaung Daw Oo International University, Yee Wai Than Ma
Early College Folio
The case study discusses an unconventional path to education in Myanmar, one that serves as an alternative to government-controlled institutions. The article highlights the challenges faced by students and educators in the country and presents Phaung Daw Oo Monastic School (PDO) and its mission to contribute to society through excellence in education and lifelong learning. The school provides necessary schooling for children who did not receive adequate education at the traditional age, students who are up to five years off from what is considered aligned with the expectations of state-sponsored education. The article also discusses the establishment of Phaung Daw …
Editor's Note, Kyaw Moe Tun
Editor's Note, Kyaw Moe Tun
Early College Folio
Editor's Note, Early College Folio, Volume 2, Issue 2 (Spring 2023).
Contributors
Early College Folio
Contributors, Early College Folio, Volume 2, Issue 2 (Spring 2023).
Table Of Contents
Early College Folio
Table of Contents, Early College Folio, Volume 2, Issue 2 (Spring 2023).
Du Undergraduate Showcase: Research, Scholarship, And Creative Works, Caitlyn Aldersea, Justin Bravo, Sam Allen, Anna Block, Connor Block, Emma Buechler, Maria De Los Angeles Bustillos, Arianna Carlson, William Christensen, Olivia Kachulis, Noah Craver, Kate Dillon, Muskan Fatima, Angel Fernandes, Emma Finch, Colleen Cassidy, Amy Fishman, Andrea Francis, Stacia Fritz, Simran Gill, Emma Gries, Rylie Hansen, Shannon Powers, Jacqueline Martinez, Zachary Harker, Ashley Hasty, Mykaela Tanino-Springsteen, Kathleen Hopps, Adelaide Kerenick, Colin Kleckner, Ci Koehring, Elijah Kruger, Braden Krumholz, Maddie Leake, Lyneé Alves, Seraphina Loukas, Yatzari Lozano Vazquez, Haley Maki, Emily Martinez, Sierra Mckinney, Mykaela Tanino-Springsteen, Audrey Mitchell, Kipling Newman, Audrey Ng, Megan Lucyshyn, Andrew Nguyen, Stevie Ostman, Casandra Pearson, Alexandra Penney, Julia Gielczynski, Tyler Ball, Anna Rini, Christina Rorres, Simon Ruland, Helayna Schafer, Emma Sellers, Sarah Schuller, Claire Shaver, Kevin Summers, Isabella Shaw, Madison Sinar, Claudia Pena, Apshara Siwakoti, Carter Sorensen, Madi Sousa, Anna Sparling, Alexandra Revier, Brandon Thierry, Dylan Tyree, Maggie Williams, Lauren Wols
Du Undergraduate Showcase: Research, Scholarship, And Creative Works, Caitlyn Aldersea, Justin Bravo, Sam Allen, Anna Block, Connor Block, Emma Buechler, Maria De Los Angeles Bustillos, Arianna Carlson, William Christensen, Olivia Kachulis, Noah Craver, Kate Dillon, Muskan Fatima, Angel Fernandes, Emma Finch, Colleen Cassidy, Amy Fishman, Andrea Francis, Stacia Fritz, Simran Gill, Emma Gries, Rylie Hansen, Shannon Powers, Jacqueline Martinez, Zachary Harker, Ashley Hasty, Mykaela Tanino-Springsteen, Kathleen Hopps, Adelaide Kerenick, Colin Kleckner, Ci Koehring, Elijah Kruger, Braden Krumholz, Maddie Leake, Lyneé Alves, Seraphina Loukas, Yatzari Lozano Vazquez, Haley Maki, Emily Martinez, Sierra Mckinney, Mykaela Tanino-Springsteen, Audrey Mitchell, Kipling Newman, Audrey Ng, Megan Lucyshyn, Andrew Nguyen, Stevie Ostman, Casandra Pearson, Alexandra Penney, Julia Gielczynski, Tyler Ball, Anna Rini, Christina Rorres, Simon Ruland, Helayna Schafer, Emma Sellers, Sarah Schuller, Claire Shaver, Kevin Summers, Isabella Shaw, Madison Sinar, Claudia Pena, Apshara Siwakoti, Carter Sorensen, Madi Sousa, Anna Sparling, Alexandra Revier, Brandon Thierry, Dylan Tyree, Maggie Williams, Lauren Wols
DU Undergraduate Research Journal Archive
DU Undergraduate Showcase: Research, Scholarship, and Creative Works
Lessons From Human Experience: Teaching A Humanities Course Made Me A Better Math Teacher, Erin Griesenauer
Lessons From Human Experience: Teaching A Humanities Course Made Me A Better Math Teacher, Erin Griesenauer
Journal of Humanistic Mathematics
As a professor at a Liberal Arts college, I recently taught a General Education course called Human Experience. Far from my normal experiences in the mathematics classroom, in Human Experience I was tasked with teaching topics from the humanities, including art, philosophy, history, and political science. Teaching this course was challenging, but it was also transformative. Teaching a course so far from my background gave me the opportunity to experiment with different pedagogical techniques and to reflect on how I set up my math classes. I learned many lessons that I have brought back to my math classes—lessons that have …
Becoming A Stem-Focused Catholic School: Insights Into Adopting A Curricular Specialization, Julie W. Dallavis
Becoming A Stem-Focused Catholic School: Insights Into Adopting A Curricular Specialization, Julie W. Dallavis
Journal of Catholic Education
School choice policies seek to increase access to educational opportunities and stimulate innovations in schooling. This study examines the early stages of one such innovation—school-wide curricular specialization—in three Catholic elementary schools adopting a STEM focus and uses interviews to consider how and why different levels of support exist for the shift and under what conditions private and religious schools are prepared to make significant changes in instructional practice. Findings suggest that school resources—material, human, and social along with professional development—play an important role in shaping engagement in the adoption of a school-wide curricular focus.
Streaming With Butterflies: A Whole School Stream Project, Carey L. Averill, Janet M. Herrelko
Streaming With Butterflies: A Whole School Stream Project, Carey L. Averill, Janet M. Herrelko
Journal of Catholic Education
This study explores the commitment of a school faculty to use the pedagogical practices needed to employ a project-based unit of Science, Technology, Religion, Engineering, Arts, and Mathematics (STREAM). The unit of study concentrated on environmental sustainability of butterflies through project-based learning (PBL). Teacher interviews were analyzed to reveal the similarities and differences, strengths and weaknesses in the teachers’ reactions to implementing a cross-curricula content unit designed for a pre-kindergarten (PK) to eighth grade school. Analysis of teacher data and classroom artifacts provided evidence of: content mastery at the student levels; implementation of scaffolding for developmental levels; and the need …