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Full-Text Articles in Science and Mathematics Education

Middle Savannah River: An A/R/Tographic Ecopedagogical Ethnography Experimenting With Rhizomatic Perspectives, Lisa Augustine-Chizmar Jan 2023

Middle Savannah River: An A/R/Tographic Ecopedagogical Ethnography Experimenting With Rhizomatic Perspectives, Lisa Augustine-Chizmar

Electronic Theses and Dissertations

This research is an experiment in perspective. Using the four commonplaces (Schwab, 1978), I practiced letting the Savannah River teach me what there is to know about the water, the land, the people, and the other entities that depend on ki through artistic, ethnographic, and ecopedagogical lenses. The ethnographic findings describe the social actors that depend on ki and give a voice to the River. The a/r/tographic findings display the River on a canvas map through two hundred years using paint, clay, photography, video, abstract acrylics, and fabric. Together, these methods contribute to a unique ecopedagogical journey. This word cloud …


Computer Ethics In Curriculum, Tiya Williams Dec 2022

Computer Ethics In Curriculum, Tiya Williams

Publications and Research

Ethics specifically in Computer Curriculum is a growing problem that has yet to be widely addressed. Although, start of computer ethics being taught has been traced back to the early 1940’s it has not been standardized or implemented in all computer curriculum. The objective of this research is to diagnose the reasons why ethics is so crucial in computer curriculum at all levels. I used surveys to investigate whether students were taught ethics in their computer curriculum. I also conducted surveys for professors at universities and colleges if they were taught ethics while obtaining their degree, as well as if …


Recognizing Mathematics Students As Creative: Mathematical Creativity As Community-Based And Possibility-Expanding, Meghan Riling Jul 2020

Recognizing Mathematics Students As Creative: Mathematical Creativity As Community-Based And Possibility-Expanding, Meghan Riling

Journal of Humanistic Mathematics

Although much creativity research has suggested that creativity is influenced by cultural and social factors, these have been minimally explored in the context of mathematics and mathematics learning. This problematically limits who is seen as mathematically creative and who can enter the discipline of mathematics. This paper proposes a framework of creativity that is based in what it means to know or do mathematics and accepts that creativity is something that can be nurtured in all students. Prominent mathematical epistemologies held since the beginning of the twentieth century in the Western mathematics tradition have different implications for promoting creativity in …


An Evolutionary Approach To Crowdsourcing Mathematics Education, Spencer Ward May 2020

An Evolutionary Approach To Crowdsourcing Mathematics Education, Spencer Ward

Honors College

By combining ideas from evolutionary biology, epistemology, and philosophy of mind, this thesis attempts to derive a new kind of crowdsourcing that could better leverage people’s collective creativity. Following a theory of knowledge presented by David Deutsch, it is argued that knowledge develops through evolutionary competition that organically emerges from a creative dialogue of trial and error. It is also argued that this model of knowledge satisfies the properties of Douglas Hofstadter’s strange loops, implying that self-reflection is a core feature of knowledge evolution. This mix of theories then is used to analyze several existing strategies of crowdsourcing and knowledge …


Academia Will Not Save You: Stories Of Being Continually “Underrepresented”, Lynette Deaun Guzmán Jan 2019

Academia Will Not Save You: Stories Of Being Continually “Underrepresented”, Lynette Deaun Guzmán

Journal of Humanistic Mathematics

My entire life I have had to navigate educational structures labeled (by other people) as “underrepresented” in my fields—mathematics and mathematics education. As many people who are similarly labeled in this way know, this meant I had to navigate oppressive structures that positioned me as lesser (e.g., white supremacy, patriarchy). Making sense of these repeated interactions, I wrote my dissertation as a series of three articles, each prefaced with an essay that situated a broader social, cultural, and political context and also connected to my lived experiences navigating academia. These essays were some of my most personal academic writing, and …


Symmetry And Measuring: Ways To Teach The Foundations Of Mathematics Inspired By Yupiaq Elders, Jerry Lipka, Barbara Adams, Monica Wong, David Koester, Karen Francois Jan 2019

Symmetry And Measuring: Ways To Teach The Foundations Of Mathematics Inspired By Yupiaq Elders, Jerry Lipka, Barbara Adams, Monica Wong, David Koester, Karen Francois

Journal of Humanistic Mathematics

Evident in human prehistory and across immense cultural variation in human activities, symmetry has been perceived and utilized as an integrative and guiding principle. In our long-term collaborative work with Indigenous Knowledge holders, particularly Yupiaq Eskimos of Alaska and Carolinian Islanders in Micronesia, we were struck by the centrality of symmetry and measuring as a comparison-of-quantities, and the practical and conceptual role of qukaq [center] and ayagneq [a place to begin]. They applied fundamental mathematical principles associated with symmetry and measuring in their everyday activities and in making artifacts. Inspired by their example, this paper explores the question: Could symmetry …


Seeing And Understanding Data: A Mini-Primary Source Project For Students Of Statistics, Charlotte Bolch, Beverly Wood Jan 2018

Seeing And Understanding Data: A Mini-Primary Source Project For Students Of Statistics, Charlotte Bolch, Beverly Wood

Publications

Mathematicians and scientists included drawings in their work before the first statistical graphs were invented. However, their illustrations were meant to depict quantifiable relationships rather than exposing statistical variability. The uses of pictorial representations or charts to convey trends among variable measurements dates back to at least the late 10th century. However, this means of communication did not gain the widespread appreciation it enjoys today until technological advances in the 21st century stimulated the growth of a new field, data visualization. The mini-Primary Source Project (PSP) Seeing and Understanding Data provides students the opportunity to explore the evolution of statistical …


Quantitative Literacy For The Future Flourishing Of Our Students: A Guiding Aim For Mathematics Education, Samuel L. Tunstall Jan 2017

Quantitative Literacy For The Future Flourishing Of Our Students: A Guiding Aim For Mathematics Education, Samuel L. Tunstall

Numeracy

In this essay, I examine the extent to which mathematics education and education for quantitative literacy support students’ present and future flourishing, a concept that entails realizing objective goods in a life lived from the inside. This perspective requires disentangling philosophical assumptions about the aims of mathematics education, which—in the context of flourishing—I take to be a hybrid of those that have informed curricular discussions over the past two centuries. In the process, I problematize ("make strange") many of the common reasons given for students learning mathematics, including: learning it for one’s career, for one’s logical reasoning skills, or …


Epistemology Shock: English Professors Confront Science, Ian Barnard, Jan Osborn Jan 2017

Epistemology Shock: English Professors Confront Science, Ian Barnard, Jan Osborn

English Faculty Articles and Research

This article raises questions and concerns regarding students from the sciences working with faculty in the humanities in interdisciplinary settings. It explores the experience of two English professors facing the privileging of "facts" and a science-based understanding of the world in their own classrooms. It poses both questions and pedagogical possibilities for addressing conflicts around epistemologies, scholarship, and teaching and learning.


Exploring Argumentation, Objectivity, And Bias: The Case Of Mathematical Infinity, Ami Mamolo May 2016

Exploring Argumentation, Objectivity, And Bias: The Case Of Mathematical Infinity, Ami Mamolo

OSSA Conference Archive

This paper presents an overview of several years of my research into individuals’ reasoning, argumentation, and bias when addressing problems, scenarios, and symbols related to mathematical infinity. There is a long history of debate around what constitutes “objective truth” in the realm of mathematical infinity, dating back to ancient Greece (e.g., Dubinsky et al., 2005). Modes of argumentation, hindrances, and intuitions have been largely consistent over the years and across levels of expertise (e.g., Brown et al., 2010; Fischbein et al., 1979, Tsamir, 1999). This presentation examines the interrelated complexities of notions of objectivity, bias, and argumentation as manifested in …


A Study Of Elementary Teachers’ Conceptions Of Nature Of Science And Their Beliefs About The Developmental Appropriateness And Importance Of Nature Of Science Throughout A Professional Development Program, Elif Adibelli Aug 2015

A Study Of Elementary Teachers’ Conceptions Of Nature Of Science And Their Beliefs About The Developmental Appropriateness And Importance Of Nature Of Science Throughout A Professional Development Program, Elif Adibelli

UNLV Theses, Dissertations, Professional Papers, and Capstones

This qualitative study aimed to explore the changes in elementary science teachers’ conceptions of nature of science (NOS) and their beliefs about the developmental appropriateness and importance of NOS after participating in an academic, year-long professional development program (PDP) as well as the factors facilitating these changes. The PDP consisted of two phases. In the first phase, the participants received NOS training designed with an explicit-reflective instructional approach. In the second phase, the participants implemented several NOS training activities in their classrooms. Four elementary science teachers who volunteered and completed all components of the PDP (i.e., the NOS training and …


Hypothesis Generation And Testing: A Template For Biomedical Research, Michael Hoffmann Dec 2014

Hypothesis Generation And Testing: A Template For Biomedical Research, Michael Hoffmann

Michael H.G. Hoffmann

This argument map provides a template for the testing of hypotheses in biomedical research. It can be used in science education to direct students' attention to all components that need to be clarified to justify a scientific hypothesis in a specific experimental setting, including the justification of appropriate sample sizes in experiments, determination of background theories, description of experimental design, data collection methods, significance level, etc. To use this template, go to http://agora.gatech.edu/, search for argument map 3363, and copy the map.


Ethics Is Not Rocket Science: How To Have Ethical Discussions In Your Science Class, Kelly C. Smith Dec 2014

Ethics Is Not Rocket Science: How To Have Ethical Discussions In Your Science Class, Kelly C. Smith

Publications

The Rutland Institute for Ethics at Clemson University seeks to encourage discussion on campus, in businesses, and in the community about how ethical decision-making can be the basis of both personal and professional success. In the last 15 years, our fellows have, among other things, served as Co-PI’s on a wide range of grants, produced Responsible Conduct of Research training for science and engineering graduate students and faculty, managed the ethics curriculum at a medical school, and produced video lectures on ethical thinking for undergraduate Biology majors. The crown jewel of our efforts to-date is our Ethics Across the Curriculum …


The Cape Verde Project: Teaching Ecologically Sensitive And Socially Responsive Design, N Jonathan Unaka Aug 2014

The Cape Verde Project: Teaching Ecologically Sensitive And Socially Responsive Design, N Jonathan Unaka

Theses and Dissertations

This dissertation chronicles an evolving teaching philosophy. It was an attempt to develop a way to teach ecological design in architecture informed by ethical responses to ecological devastation and social injustice. The world faces numerous social and ecological challenges at global scales. Recent Industrialization has brought about improved life expectancies and human comforts, coinciding with expanded civic rights and personal freedom, and increased wealth and opportunities. Unfortunately, industrialization also caused wide-scale pollution, mass extinctions and anthropogenic global climate change. Industrialization also reduced the earth's capacity to meet human resource demands - demands that are ever increasing due to population growth, …


Carl F. Craver And Lindley Darden: In Search Of Mechanisms: Discoveries Across The Life Sciences, Stuart Glennan Jul 2014

Carl F. Craver And Lindley Darden: In Search Of Mechanisms: Discoveries Across The Life Sciences, Stuart Glennan

Stuart Glennan

Carl Craver and Lindley Darden are two of the foremost proponents of a recent approach to the philosophy of biology that is often called the New Mechanism. In this book they seek to make available to a broader readership insights gained from more than two decades of work on the nature of mechanisms and how they are described and discovered. The book is not primarily aimed at specialists working on the New Mechanism, but rather targets scientists, students and teachers who are looking for a broad, philosophically and historically informed image of discovery in the life sciences.


Carl F. Craver And Lindley Darden: In Search Of Mechanisms: Discoveries Across The Life Sciences, Stuart Glennan Jul 2014

Carl F. Craver And Lindley Darden: In Search Of Mechanisms: Discoveries Across The Life Sciences, Stuart Glennan

Scholarship and Professional Work - LAS

Carl Craver and Lindley Darden are two of the foremost proponents of a recent approach to the philosophy of biology that is often called the New Mechanism. In this book they seek to make available to a broader readership insights gained from more than two decades of work on the nature of mechanisms and how they are described and discovered. The book is not primarily aimed at specialists working on the New Mechanism, but rather targets scientists, students and teachers who are looking for a broad, philosophically and historically informed image of discovery in the life sciences.


Scientists And Animal Research: Dr. Jekyll Or Mr. Hyde?, Andrew N. Rowan Jun 2014

Scientists And Animal Research: Dr. Jekyll Or Mr. Hyde?, Andrew N. Rowan

Andrew N. Rowan, DPhil

Why is the public so sensitive about the use of a few tens of millions of animals in research when they do not object to killing hundreds of millions of pigs and cows and billions of chickens for our meat diet? Why is animal research considered so bad despite the public's high opinion of science (and scientists)? Perhaps it is the image of the scientist as an objective and cold individual who deliberately inflicts harm (pain, distress, or death) on his (the public image is usually male) innocent animal victims that arouses so much horror and concern. This paper does …


The Nature Of Science: A Perspective From The Philosophy Of Science, Juli T. Eflin, Stuart Glennan, George Reisch Mar 2014

The Nature Of Science: A Perspective From The Philosophy Of Science, Juli T. Eflin, Stuart Glennan, George Reisch

Stuart Glennan

In a recent article in this journal, Brian Alters (1997) argued that, given the many ways in which the nature of science (NOS) is described and poor student responses to NOS instruments such as Nature of Scientific Knowledge Scale (NSKS), Nature of Science Scale (NOSS), Test on Understanding Science (TOUS), and others, it is time for science educators to reconsider the standard lists of tenets for the NOS. Alters suggested that philosophers of science are authorities on the NOS and that consequently, it would be wise to investigate their views of current NOS tenets. To that end, he conducted a …


Teaching The Complex Numbers: What History And Philosophy Of Mathematics Suggest, Emily R. Grosholz Jan 2013

Teaching The Complex Numbers: What History And Philosophy Of Mathematics Suggest, Emily R. Grosholz

Journal of Humanistic Mathematics

The narrative about the nineteenth century favored by many philosophers of mathematics strongly influenced by either logic or algebra, is that geometric intuition led real and complex analysis astray until Cauchy and Kronecker in one sense and Dedekind in another guided mathematicians out of the labyrinth through the arithmetization of analysis. Yet the use of geometry in most cases in nineteenth century mathematics was not misleading and was often key to important developments. Thus the geometrization of complex numbers was essential to their acceptance and to the development of complex analysis; geometry provided the canonical examples that led to the …


Cognitive Effects Of Argument Visualization Tools, Michael H.G. Hoffmann Jan 2011

Cognitive Effects Of Argument Visualization Tools, Michael H.G. Hoffmann

Michael H.G. Hoffmann

External representations play a crucial role in learning. At the same time, cognitive load theory suggests that the possibility of learning depends on limited resources of the working memory and on cognitive load imposed by instructional design and representation tools. Both these observations motivate a critical look at Computer-Supported Argument Visualization (CSAV) tools that are supposed to facilitate learning. This paper uses cognitive load theory to compare the cognitive efficacy of RationaleTM 2 and AGORA.


Evolution And The Second Law Of Thermodynamics: Effectively Communicating To Non-Technicians, Alexander Schreiber, Steven Gimbel Jan 2010

Evolution And The Second Law Of Thermodynamics: Effectively Communicating To Non-Technicians, Alexander Schreiber, Steven Gimbel

Philosophy Faculty Publications

Given the degree of disbelief in the theory of evolution by the wider public, scientists need to develop a collection of clear explanations and metaphors that demonstrate the working of the theory and the flaws in antievolutionist arguments. This paper presents tools of this sort for countering the anti-evolutionist claim that evolutionary mechanisms are inconsistent with the second law of thermodynamics. Images are provided to replace the traditional misunderstanding of the law, i.e., “everything always gets more disordered over time,” with a more clear sense of the way in which entropy tends to increase allowing a thermally isolated system access …


“Theoric Transformations” And A New Classification Of Abductive Inferences, Michael H.G. Hoffmann Jan 2010

“Theoric Transformations” And A New Classification Of Abductive Inferences, Michael H.G. Hoffmann

Michael H.G. Hoffmann

Based on a definition of “abductive insight” and a critical discussion of G. Schurz’s (2008) distinction of eleven “patterns of abduction” that he organizes in four groups, I suggest an even more comprehensive classification that distinguishes 15 forms in an alternative structure. These forms are organized, on the one hand, with regard to what is abductively inferred—singular facts; types; laws; theoretical models; or representation systems—and, on the other, with regard to the question whether the abductive procedure is selective or creative (including a distinction between “psychologically creative,” as in school learning, or “historically creative”). Moreover, I argue that theoretical-model abduction—which …


Lam Map Of Nagel's Core Argument In "The Problem Of Global Justice" (2005), Michael H.G. Hoffmann Jan 2010

Lam Map Of Nagel's Core Argument In "The Problem Of Global Justice" (2005), Michael H.G. Hoffmann

Michael H.G. Hoffmann

This map is also available online: http://tinyurl.com/23vweqm


Lam Map Of Thomas Nagel (2005), The Problem Of Global Justice, Michael H.G. Hoffmann Jan 2010

Lam Map Of Thomas Nagel (2005), The Problem Of Global Justice, Michael H.G. Hoffmann

Michael H.G. Hoffmann

This map is also available online: http://tinyurl.com/22o9q9q


The Debate About The Stern-Review And The Economics Of Climate Change, Michael H.G. Hoffmann Jan 2010

The Debate About The Stern-Review And The Economics Of Climate Change, Michael H.G. Hoffmann

Michael H.G. Hoffmann

This map is -- in a different form, with linked sub-maps -- also available online: http://tinyurl.com/y9jlsxv


Argument Visualization In The Political Arena: The Debate On Global Climate Engineering, Michael H.G. Hoffmann Jan 2009

Argument Visualization In The Political Arena: The Debate On Global Climate Engineering, Michael H.G. Hoffmann

Michael H.G. Hoffmann

A map that shows a certain point in a fictitious deliberation which is supposed to be ongoing and open-ended, driven by the motive of participants to support or to criticize any of the assumptions mapped out so far by further arguments. This map is mainly based on recent publications on geo-engineering


Learning From People, Things, And Signs, Michael H.G. Hoffmann Jan 2007

Learning From People, Things, And Signs, Michael H.G. Hoffmann

Michael H.G. Hoffmann

Starting from the observation that small children can count more objects than numbers—a phenomenon that I am calling the “lifeworld dependency of cognition”—and an analysis of finger calculation, the paper shows how learning can be explained as the development of cognitive systems. Parts of those systems are not only an individual's different forms of knowledge and cognitive abilities, but also other people, things, and signs. The paper argues that cognitive systems are first of all semiotic systems since they are dependent on signs and representations as mediators. The two main questions discussed here are how the external world constrains and …


The Complementarity Of A Representational And An Epistemological Function Of Signs In Scientific Activity, Michael H.G. Hoffmann, Wolff-Michael Roth Jan 2007

The Complementarity Of A Representational And An Epistemological Function Of Signs In Scientific Activity, Michael H.G. Hoffmann, Wolff-Michael Roth

Michael H.G. Hoffmann

Signs do not only “represent” something for somebody, as Peirce’s definition goes, but also “mediate” relations between us and our world, including ourselves, as has been elaborated by Vygotsky. We call the first the representational function of a sign and the second the epistemological function since in using signs we make distinctions, specify objects and relations, structure our observations, and organize societal and cognitive activity. The goal of this paper is, on the one hand, to develop a model in which both these functions appear as complementary and, on the other, to show that this complementarity is essential for the …


Ethics For Industrial Technology Majors: Need And Plan Of Action, Kurt A. Rosentrater, R. Balamuralikrishma Jun 2005

Ethics For Industrial Technology Majors: Need And Plan Of Action, Kurt A. Rosentrater, R. Balamuralikrishma

Kurt A. Rosentrater

The recent introduction of sessions dedicated to “Industrial Technology” in the annual ASEE conference is testimony that this discipline has gained its rightful place in the company of engineering and engineering technology. This new level of partnership and collaboration between engineering and technology programs promises to be a step in the right direction for society at large. Engineering and technology majors both supplement and complement each other’s knowledge and skills and it is crucial for educators to build bridges of active interaction. This paper takes aim at one specific as well as basic need in teamwork and interdisciplinary projects – …


Limits Of Truth: Exploring Epistemological Approaches To Argumentation, Michael H.G. Hoffmann Jan 2005

Limits Of Truth: Exploring Epistemological Approaches To Argumentation, Michael H.G. Hoffmann

Michael H.G. Hoffmann

Some proponents of epistemological approaches to argumentation (Biro, Siegel, Lumer, Goldman) assume that it should be possible to develop non-relative criteria of argument evaluation. By contrast, this paper argues that any evaluation of an argument depends (a) on the cognitive situation of the evaluator, (b) on background knowledge that is available for this evaluator in a certain situation, and (c)—in some cases—on the belief-value-system this person shares.