Education Commons^™

Creative Assignments In Upper Level Undergraduate Courses Inspired By Mentoring Undergraduate Research Projects, Malgorzata A. Marciniak

Journal of Humanistic Mathematics

This article describes methods and approaches for incorporating creative projects in undergraduate mathematics courses for students of engineering and computer science in an urban community college. The topics and the grading rubrics of the projects go way beyond standard homework questions and contain elements of finding own project, incorporating historical background, inventing own questions and exercises, or demonstrating experiments to illustrate some aspects of the project. After analyzing challenges and outcomes of these projects, I identified several skills which help students be successful, including the skills of creativity. These skills are writing, oral presentation, math skills, and collaboration skills. I …

What Would The Nautilus Say? Unleashing Creativity In Mathematics!, Megan E. Selbach-Allen, Cathy A. Williams, Jo Boaler

Journal of Humanistic Mathematics

While the nautilus shell is often represented in popular culture as an example of a golden spiral, according to many mathematicians it is not. In this paper we examine multiple arguments for and against considering the nautilus as a “golden” spiral and offer a semi-structured task that is accessible to middle school students and beyond to begin their own investigation. Our hope is that asking, what would the nautilus say, can serve as a starting point for children and adults alike to push against the walls we so often draw around mathematical questions and begin to see where their creativity …

A Study Of Problem Posing As A Means To Help Mathematics Teachers Foster Creativity, Deborah Moore-Russo, Amanda A. Simmons, Michael J.D. Tulino

Journal of Humanistic Mathematics

Research suggests that mathematical creativity often results from extended periods of mathematical activity and reflection based on the use of deep and flexible content knowledge [14, 15]. This implies that instruction can influence creativity. However, for teaching to foster creativity in mathematics, there should be purposefully designed instructional tasks. It is doubtful that routine, mechanical exercises would foster creativity. Moreover, mathematical creativity may neither be explicitly promoted, nor fully appreciated, by students when a learning space involves only problem solving, even if the problems are challenging and engaging. For students to get an authentic sense of mathematics and to develop …

Learning To Transform, Transforming To Learn: Children’S Creative Thinking With Fractions, Higinio Dominguez, Sandra Crespo, Tamara Del Valle, Melissa Adams, Megan Coupe, Gustavo Gonzalez, Yordhan Ormazabal

Journal of Humanistic Mathematics

In this paper we contribute an alternative conceptualization of creativity by highlighting movement as creating spatial and temporal dimensions that are important to make sense of creativity in children mathematical thinking. Using data from an international collaboration between two teaching-research teams from the United States and Chile, we trace how children mobilized their social bodies, materials, tools, images, metaphors, languages, and improvisations in order to make sense of the concept of fractions. Based on these findings we offer a number of discussion points that highlight the importance of creating these kinds of learning spaces, the role of tasks in promoting …

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 …

Who Is Welcome Here? A Culturally Responsive Content Analysis Of Makerspace Websites, Hannah Kye

Journal of Pre-College Engineering Education Research (J-PEER)

Makerspaces and maker education are widely seen as means to democratize science and engineering education. A small but growing body of scholarly work warns against this assumption and calls for an explicit focus on equity in makerspaces both online and in person. With an understanding of learning as a social and cultural process, this paper proposes that disrupting the cycle of racial and cultural inequity in science education requires makerspace educators and staff to ground their work in multicultural theories and practices. In particular, culturally responsive pedagogy (CRP) provides guidance for infusing science and engineering with equity approaches in order …

Exploring User Interface Improvements For Software Developers Who Are Blind, Guarionex J. Salivia, Flint D. Million, Megan E. Bening

Journal of Science Education for Students with Disabilities

Software developers who are blind and interact with the computer non-visually face unique challenges with information retrieval. We explore the use of speech and Braille combined with software to provide an improved interface to aid with challenges associated with information retrieval. We motivate our design on common tasks performed by students in a software development course using a Microprocessor without Interlocked Pipeline Stages (MIPS) architecture simulation tool. We test our interface via a single-subject longitudinal study, and we measure and show improvement in both the user’s performance and the user experience.

Tactviz: A Vmd Plugin For Tactile Visualization Of Protein Structures, Olivia R. Shaw, Jodi A. Hadden-Perilla

Journal of Science Education for Students with Disabilities

Scientific disciplines spanning biology, biochemistry, and biophysics involve the study of proteins and their functions. Visualization of protein structures represents a barrier to education and research in these disciplines for students who are blind or visually impaired. Here, we present a software plugin for readily producing variable-height tactile graphics of proteins using the free biomolecular visualization software Visual Molecular Dynamics (VMD) and protein structure data that is publicly available through the Protein Data Bank. Our method also supports interactive tactile visualization of proteins with VMD on electronic refreshable tactile display devices. Employing our method in an academic laboratory has enabled …

Astrodance: Engaging Deaf And Hard-Of-Hearing Students In Astrophysics Via Multimedia Performances, Jason Nordhaus, Manuela Campanelli, Joe Bochner, Thomas Warfield, Hans-Peter Bischof, Jake Noel-Storr

Journal of Science Education for Students with Disabilities

The dynamics of gravitating astrophysical systems such as black holes and neutron stars are fascinatingly complex, offer some of nature's most spectacular phenomena, and capture the public's imagination in ways that few subjects can. Here, we describe AstroDance, a multi-media project to engage deaf and hard-of-hearing (DHH) students in astronomy and gravitational physics. AstroDance incorporates multiple means of representation of scientific concepts and was performed primarily for secondary and post-secondary audiences at ~20 venues in the northeastern US prior to the historic first detection of gravitational waves. As part of the AstroDance project, we surveyed ~1000 audience members roughly split …

Visualization Without Vision – How Blind And Visually Impaired Students And Researchers Engage With Molecular Structures, Croix J. Laconsay, Henry B. Wedler, Dean J. Tantillo

Journal of Science Education for Students with Disabilities

This article examines the tools and techniques currently available that enable blind and visually impaired (BVI) individuals to visualize three-dimensional objects used in learning chemistry concepts. How BVI individuals engage with and visualize molecular structure is discussed and recent tactile (or haptic) and auditory methods for visualization of various chemistry concepts are summarized. Remaining challenges for chemistry education researchers are described with the aim of highlighting the potential value of educational research in further enabling BVI students to pursue careers in science, technology, engineering, and mathematics (STEM) fields.

Supplemental Online Learning Tools (Solts) To Support Deaf And Hard Of Hearing Students In Introductory Statistics Courses, Jacqueline Mcclive, Keith Mousley, Carol E. Marchetti, David Simkins, Gary Blatto-Vallee, Jane Jackson, Sue Foster

Journal of Science Education for Students with Disabilities

Research in most Science, Technology, Engineering, and Mathematics (STEM) disciplines uses statistical methods. Thus as students develop into research scientists, introductory statistics serves as a gateway course. If students struggle to incorporate statistics into their knowledge base, they may be effectively kept from careers that rely on statistics. DHH students learn differently and thus may lag behind their hearing counterparts in mainstream classrooms. In part, a gap in language knowledge can impede the understanding of statistics topics. What is a variable? What does it mean to have a distribution? With sign language interpreters and other support services, many mainstream instructors …

Effect Of Hypothesis Type On Scientific Literacy In Nonscience Majors, Sharon Schmidt, Leanne Davis, Danyelle N. Dehner-Aganovic, Margaret (Meg) Smith

Georgia Journal of Science

The University System of Georgia has undergone nine consolidations of institutions of higher education in the past seven years. One consequence of a consolidation is that faculty from historically different institutions are brought together to work in newly-created units, and this requires merging of ideas, particularly at the departmental level. In the Department of Biology of our own institution, this manifested as differences in the types of hypotheses taught in nonmajors classes in which scientific literacy is a learning outcome of high priority. Data can be useful for resolving such differences, but there was limited data on the effect of …

Parts Of The Whole: The Last Column: Freire's Pedagogy Of Liberation, Dorothy Wallace

Numeracy

The educational theory of Paolo Freire is briefly summarized for instructors of quantitative reasoning, with a focus on what it means to give students “agency.” Some examples are given of how to implement his basic ideas.

Measuring Numeracy: Validity And The Programme For The International Assessment Of Adult Competencies (Piaac), Samuel L. Tunstall

Numeracy

A tension raised in recent scholarship is that between numeracy as a social practice and numeracy as a functional skill set. Such frameworks for conceptualizing numeracy pose a challenge to assessment because what individuals do with numeracy is not the same as what individuals can do (or express) in an assessment setting. This study builds on work related to numeracy assessment through a validity examination of a portion of a well-known assessment: the OECD’s Programme for the International Assessment of Adult Competencies (PIAAC). In following a path set out by standards for assessment, I ask: What does the PIAAC numeracy …

The Effects Of Schema-Based Instruction On Solving Mathematics Word Problems, Scarlet Hughes, Joshua Cuevas Dr.

Georgia Educational Researcher

The purpose of this study was to investigate the frequency with which students use math word problem strategies during and after schema-based instruction. It examines the extent to which students increase their ability to correctly solve word problems. It compares students’ attitudes toward mathematics problem solving before and after schema-based instruction. The study was conducted in a resource class with seven second-grade students on individualized education programs (IEPs). A single-subject research design was used. The schema-based instruction was implemented by the special education teacher in a small group setting. Students showed an increase in attempted and correct strategy use during …

Combining Transformation Of Graphs With Solutions To Absolute Value Inequalities, Ryan D. Fox

Colorado Mathematics Teacher

I present how transformations can be applied to support students’ solving linear inequalities involving absolute value. In particular, the horizontal dilations/compressions and translations of graphical representations of distances from zero along a number line are important tools to emphasize a visual representation of the solutions to absolute value inequalities.

Demonstration Of A Distributed Bragg Reflector For Polyvinylcarbazole And Cadmium Sulfide Layers: Modeling And Comparison To Experimental Results, Javier E. Hasbun, L. Ajith Desilva

Georgia Journal of Science

Light wave propagation in a periodically stratified medium has many applications in physics, mathematics, and engineering. The subject is of interest to students, teachers, and researchers, as it presents a great opportunity to focus on principles of optics and to understand the basics of mathematical modeling. A complete theory of wave propagation can be derived using Born’s optics theory. We employed that theory to determine the reflectivity of a one-dimensional distributed Bragg reflector (DBR) and do simulations using MATLAB. A DBR is a photonic crystal consisting of alternating layers of materials with different refractive indices. In this study, we modeled …

Modeling And Analysis Of The Impact Of Vocational Education On The Unemployment Rate In Nigeria, Abayomi Ayoade, Opeyemi Odetunde, Bidemi Falodun

Applications and Applied Mathematics: An International Journal (AAM)

Unemployment is a major determinant of a weak economy and a good measure of living standard in a country. Nigeria is faced with the problem of unemployment at present. By that, a mathematical model is formulated to investigate the effect of vocational education on the unemployment challenges in Nigeria. The model is tested for the basic requirements of a good mathematical model. The equilibrium analysis of the model is conducted and both the unemployment-free and the unemployment endemic equilibria are obtained. The threshold for the implementation success of the vocational education program is also derived following the approach of epidemic …

A Comparison Of Students’ Quantitative Reasoning Skills In Stem And Non-Stem Math Pathways, Emily Elrod, Joo Young Park

Numeracy

Quantitative Reasoning (QR) is essential for today’s students, yet most higher education institutions have not effectively addressed this issue. This study investigates students’ quantitative reasoning in STEM and Non-STEM math pathways using a non-proprietary, NSF grant-funded instrument, the Quantitative Literacy & Reasoning Assessment (QLRA). Participants were students enrolled in at least one college-level math pathway course at a large public institution in the southeastern US. The results showed a significant difference between STEM and Non-STEM students’ QLRA scores, with STEM students (n = 244, M = 27%, SD = 16.21%) scoring, on average, about 6% higher than Non-STEM students …

In-Service Biology Teachers’ Perceptions And Pedagogical Rating Of Two Mobile Learning Applications Recommended For Learning Biology In Nigerian Secondary Schools, Uchenna Udeani Prof, Jeremiah Nosakhare Akhigbe Mr

The African Journal of Information Systems

The study investigated in-service biology teachers’ perceptions of the instructional use of smartphones equipped with Biology Mobile Learning Applications (BMLAs) in the learning of biology concepts in Nigerian senior secondary schools and the pedagogical rating of two commercially available mobile learning applications recommended for learning biology. The study utilized a descriptive survey design. Data collected were analyzed using descriptive and inferential statistics. Findings gathered revealed that the in-service biology teachers had good perceptions of the instructional use of BMLAs and that these perceptions influence their pedagogical rating and selection of mobile applications. The study also revealed that demographic variables such …

Exploring Stem Kit Diagrams For Braille Readers In Inclusive Classrooms, Sariat A. Adelakun Dr

Journal of Science Education for Students with Disabilities

Diagrams appears in many school subjects but more prominent in science and mathematics taught in schools. Accessing these diagrams in an inclusive classroom has been identified to be problematic for blind students partly due to the teaching resources available and personnel type, support and sufficiency. Diagrams are mostly omitted by teachers leaving the blind person out in such classroom to access portion of education received by their peers. In many instances, questions with diagrams are treated as bonus for blind students in some countries which is not fair to them. This study explored the efficacy of STEM Kit diagrams on …

Shifting Public Perception: Climate Change Means Living With Fire And Smoke, Robert Froembling

Seattle Journal of Technology, Environmental & Innovation Law

The urgency to prepare for the climate crisis has never been greater. We are currently living in the sixth mass extinction and the effects are only going to accelerate. We will inherit more wildfires, larger wildfires, and more frequent wildfires.

This piece is not meant to stoke fear in its readers or be depressing, but to shift public perception on what our future holds by evaluating the laws and science presented to us. This piece will look at regional and federal regulations and assess the increased rate of forest fires and the grave public health concerns from stagnant smoke specifically …

The Influence Of Student Enrollment In Pre-College Engineering Courses On Their Interest In Engineering Careers, Kelly A. Miller, Gerhard Sonnert, Philip M. Sadler

Journal of Pre-College Engineering Education Research (J-PEER)

Pre-college student enrollment in engineering courses increases every year in the United States, yet little is known about the relationship between taking these courses and subsequent science, technology, engineering, and mathematics (STEM) career interest. Through multinomial logistic regressions, and while controlling for student background variables and prior STEM career interest, this study addresses two research questions: (1) Does completing a pre-college engineering course increase the likelihood of an engineering career interest at the end of high school? (2) Does completing a pre-college engineering course have a different influence on career interest in engineering than on career interest in other STEM …

Understanding Early Childhood Engineering Interest Development As A Family-Level Systems Phenomenon: Findings From The Head Start On Engineering Project, Scott Pattison, Gina Svarovsky, Smirla Ramos-MontañEz, Ivel Gontan, Shannon Weiss, VeróNika NúÑEz, Pam Corrie, Cynthia Smith, Marcie Benne

Journal of Pre-College Engineering Education Research (J-PEER)

There is growing recognition that interest is critical for engaging and supporting learners from diverse communities in engineering and other science, technology, engineering, and mathematics (STEM) topics. Although interest research has historically focused on older children, studies demonstrate that preschool-age and younger children also develop persistent, individualized interests in different objects, activities, and topics and that these early interests have important implications for ongoing learning and development. Unfortunately, there is relatively little research on engineering learning in early childhood and almost no work specific to the concept of interest. To begin to address this need, we conducted in-depth case study …

Teaching In A Total Institution: Toward A Pedagogy Of Care In Prison Classrooms, Lauren J. Wolf

Journal of Prison Education and Reentry (2014-2023)

This paper argues that a pedagogy of care can help reduce some of the human damage caused by incarceration. Rather than casting incarcerated men and women outside of the moral community and turning prisoners into a “them,” a pedagogy of care promotes inclusion and the creation of human connections. Recognizing prisoners’ humanity helps to dissolve some of the effects of institutionalization and may foster rehabilitation. Instead of limiting teachers to providers of information, as a traditional classroom expects, a pedagogy of care elevates teachers to human constituents of a learning community. This paper outlines a pedagogy of care in the …

Accelerating Reinforcement Learning With Prioritized Experience Replay For Maze Game, Chaoshun Hu, Mehesh Kuklani, Paul Panek

SMU Data Science Review

In this paper we implemented two ways of improving the performance of reinforcement learning algorithms. We proposed a new equation to prioritize transition samples to improve model accuracy, and by deploying a generalized solver of randomly-generated two-dimensional mazes on a distributed computing platform, our dual-network model is available to others for further research and development. Reinforcement Learning is concerned with identifying the optimal sequence of actions for an agent to take in order to reach an objective to achieve the highest score in the future. Complex situations can lead to computational challenges in terms of both finding the best answer …

The Accessibility Of Mathematical Notation On The Web And Beyond, Jason White

Journal of Science Education for Students with Disabilities

This paper serves two purposes. First, it offers an overview of the role of the Mathematical Markup Language (MathML) in representing mathematical notation on the Web, and its significance for accessibility. To orient the discussion, hypotheses are advanced regarding users’ needs in connection with the accessibility of mathematical notation. Second, current developments in the evolution of MathML are reviewed, noting their consequences for accessibility, and commenting on prospects for future improvement in the concrete experiences of users of assistive technologies. Recommendations are advanced for further research and development activities, emphasizing the cognitive aspects of user interface design.

A Transdisciplinary Laboratory Course Increases Stem Retention, Caroline A. Brown, Royce Dansby-Sparks, Sarah Formica, Margaret (Meg) Smith

Georgia Journal of Science

STEM retention is a national challenge. Recent literature suggests that students leave STEM for many reasons including lack of context, lack of academic preparedness for entering college, and challenges with quantitative reasoning. These observations compelled us to design an introductory, transdisciplinary STEM lab course which we describe herein. This course was designed to integrate the disciplines of biology, chemistry, physics, and mathematics with activities that engage students in real-world, inquiry-based exercises and help students develop quantitative reasoning skills. Assessment showed that students in this STEM lab have higher STEM retention rates than those in equivalent disciplinary courses. The largest gains …

Teaching Cybersecurity To Students With Visual Impairments And Blindness, Jesse R. Hairston, Tania Williams, Derrick W. Smith Ed.D., Coms, William T. Sabados Ph.D., Steven Forney

Journal of Science Education for Students with Disabilities

This work showcases specific adaptations used to make cybersecurity accessible to high school students with visual impairments and blindness (VIB). The rapidly growing field of cybersecurity demands a diverse workforce; however, barriers exist which can deter students with disabilities from studying cybersecurity, let alone pursuing a career in the field. To help overcome this challenge, we launched the first GenCyber camp specifically developed and instructed for high school students with VIB in summer 2019. We created a unique learning environment by combining interactive instructional aids, accessible development environments, and innovative instructional strategies. With intent to show cybersecurity as a viable …

Development And Assessment Of A Continuing Education Unit In Quantitative Literacy For High School Stem Teachers, Craig P. Mcclure

Numeracy

Influencing the teaching of quantitative literacy at all levels of education can be difficult due to the many demands placed on educators. In a continuing education course, public high school science teachers participated in a pilot study of a program on quantitative literacy, involving defining quantitative literacy, how it is beneficial to students, examples of quantitative literacy education, and how it may be supported in the science classroom. Surveys administered before and after the unit indicate an improvement in the teachers’ understanding of quantitative literacy, and a follow-up survey indicates that the unit impacted classroom practice. Results support the conclusion …