Science and Mathematics Education Commons^™

Why Be So Critical? Nineteenth Century Mathematics And The Origins Of Analysis, Janet Heine Barnett

Analysis

No abstract provided.

Henri Lebesgue And The Development Of The Integral Concept, Janet Heine Barnett

Analysis

No abstract provided.

The Failure Of The Euclidean Parallel Postulate And Distance In Hyperbolic Geometry, Jerry Lodder

Geometry

No abstract provided.

Richard Dedekind And The Creation Of An Ideal: Early Developments In Ring Theory, Janet Heine Barnett

Abstract Algebra

No abstract provided.

Discipline-Based Planetary Education Research And Computational Fluid Dynamics Analysis Of Mars, Filis Coba

Physics Theses & Dissertations

This thesis originates from the testing and implementation of an IRB-approved interactive animation designed to help students understand what causes The Reasons For The Seasons (RFTS) on Earth. Results from the testing indicated a small improvement in student understanding after exposure to the animation. Next, using the 3-D mapping tool Google Earth, students explored seasons and other planetary features on Mercury, Venus, the Moon and Mars through IRB-approved interactive tours which were developed and tested for astronomy education. Results from the tests indicated that there were statistically significant learning gains (p-value < 0.05) after students interacted with the tours compared to those who did not. The development of the tours inspired a geophysics study of the possibility of former plate motion (or plate tectonics) on Mars. A 2-D finite element convection model for the mantle of Mars was designed and solved using COMSOL Multiphysics 5.1, to investigate whether or not thermal gradients in a Mars-sized planet could cause vigorous upper mantle convection, consistent with plate tectonic processes. Results from this project indicated that stable convection could occur in the interior of a Mars-like planet assuming the presence of sufficiently high thermal gradients at about 0.8 times the mantle temperature of Earth. The convective patterns resembled hot upwelling and cool downwelling which may be similar to subduction-like features. Furthermore, increasing the temperature of the hot boundaries resulted in faster, more rigorous convective motions and a hotter average temperature.

Instructional Framing And Student Learning Of Community Interactions, Nathaniel Niosco

School of Natural Resources: Dissertations, Theses, and Student Research

Ecology is a broad field of science that encompasses many disciplines with large impacts in our society (AAAS, 2011; NRC, 2009). To understand the complex systems and concepts of this discipline requires a foundation of knowledge that students often gain in the classroom (Bransford, Brown, & Cocking, 2000). Helping students develop this foundation of knowledge requires an understanding of how they use surface and deep reasoning skills to understand and learn new material. In addition, using methods to teach students to transfer these skills between multiple contexts is key to expanding their ability to broadly apply knowledge. The purpose of …

Pythagorean Combinations For Lego Robot Building., Ronald I. Greenberg

Computer Science: Faculty Publications and Other Works

This paper provides tips for LEGO robot construction involving bracing or gear meshing along a diagonal using standard Botball kits.

Connecting To Nature, Community, And Self: A Conservation Corps Approach To Re-Engaging At-Risk Youth In Science Education, Sara Jo Linden

Dissertations and Theses

The social and environmental challenges of the coming decades will require that individuals possess environmental literacy: the understanding of natural systems combined with a sense of care for the earth, and the confidence and competency to act on its behalf. At the same time, disengaged youth need education environments that foster belonging and promote affective outcomes. The youth conservation corps model provides a natural context for engaging academically at-risk youth in environmental science education, while fostering connection to nature and student self-efficacy in ways that are experiential, relevant, and relationship-based. The focus of this study was a conservation corps program …

How Did We Wind Up In Such An Unlikely Universe?, Michael Bass

UCF Forum

Not long ago the Public Broadcasting Service program NOVA presented an episode called “The Great Math Mystery.” It dealt with the many ways mathematical relationships and special numbers crop up when investigating the physical and natural world.

Critical Thinking Skills And Academic Maturity: Emerging Results From A Five-Year Quality Enhancement Plan (Qep) Study, Ian N. Toppin, Shadreck Chitsonga

Journal of Inquiry and Action in Education

The QEP that was implemented in this study focused on enhancing students’ critical thinking skills. A pretest/ posttest approach was used to assess students’ critical thinking progress in freshman level core English and Math courses. An intervention was performed involving intensive instruction and assignments relating to a set of reasoning strategies such as: analytical, analogical, inductive, deductive, and comparative reasoning, among others. When students performed well on assignments by applying the reasoning strategies, it was assumed that critical thinking occurred. However, pre/ posttest results in these classes were often disappointing, and seemed at times to suggest that freshmen are not …

Understanding College Students’ Exam Process In A General Chemistry Course, Angela Willson

Masters Theses

The main way most college chemistry courses assess what a student has learned is through a summative exam. After introductory science courses, such as general chemistry, many students cite poor teaching and disappointing grades in these courses as a reason for dropping out of STEM programs. There has been a lack of qualitative research on students’ experiences of the complete process of taking an exam from start to finish, or the exam process, which includes preparing for an exam, taking an exam, receiving feedback, and responding to feedback after the exam has been graded.

My goal in this exploratory study …

Math Department Newsletter, 2015-2016, Mathematics Department

Mathematics Newsletter

No abstract provided.

Guest Editors' Introduction: Best Of Respect, Part 2, Tiffany Barnes, Jamie Payton, George K. Thiruvathukal, Jeff Forbes, Kristy Elizabeth Boyer

Computer Science: Faculty Publications and Other Works

The guest editors introduce best papers on broadening participation in computing from the RESPECT'15 conference. The five articles presented here are part two of a two-part series representing research on broadening participation in computing. These articles study participation in intersectional ways, through the perceptions and experiences of African-American middle school girls, the sense of belonging in computing for LGBTQ students, the impact of a STEM scholarship and community development program for low-income and first-generation college students, a leadership development program, and how African-American women individually take leadership to enable their success in computing.

Build Strong Bodies And Minds Through Service Learning, David Sederberg

Purdue P-12 Networking Summit & Poster Session

In Physics and Astronomy at Purdue, service learning is an essential component to our outreach programs. While providing authentic deliverables to the “customer,” service learning engages individuals in ways through which they are able to make meaningful contributions, while at the same time developing their own knowledge and expertise in an area of personal interest or commitment. That learning may involve leadership, instructional design, communication of science fundamentals and applications to K-12 and general audiences, research, reflective practice, and the acquisition of skills that last a lifetime. This presentation illustrates ways in which we leverage resources between service learning and …

Gaiseing Into The New Guidelines, Robert Carver, Megan Mocko, Jeffrey Witmer, Beverly Wood

Publications

The first GAISE College Report came out in 2005. Over the past ten years our discipline has changed in many ways, including but not limited to what type of data is easily available, the technology that we use, as well as how we teach students. In this presentation we will briefly start with how the new GAISE 2016 guidelines and goals have changed, including the two new emphases of statistical thinking: giving students experience with multivariable thinking and with the investigative process. So how do you start to implement these new ideas? In this presentation, we will demonstrate an activity …

The Power Of X, Darren B. Glass

Math Faculty Publications

In his recent book, The Math Myth: And Other STEM Delusions, political scientist Andrew Hacker argues, among other things, that we should not require high school students to take algebra.

Part of his argument, based on data some have questioned, is that algebra courses are a major contributor to students dropping out of high school. He also argues that algebra is nothing more than an "enigmatic orbit of abstractions" that most people will never use in their jobs. [excerpt]

Introducing Complex Systems Analysis In High School Mathematics Using System Dynamics Modeling: A Potential Game-Changer For Mathematics Instruction, Diana Marie Fisher

Dissertations and Theses

Complex systems abound on this planet, in the composition of the human body, in ecosystems, in social interaction, in political decision-making, and more. Analytical methods allowing us to better understand how these systems operate and, consequently, to have a chance to intervene and change the undesirable behavior of some of the more pernicious systems have developed and continue to be enhanced via quickly changing technology. Some of these analytical methods are accessible by pre-college students, but have not been widely used at that level of education. Jay Forrester, the founder of one of the methodologies, System Dynamics (SD), used to …

College Of Engineering Senior Design Competition Spring 2016, University Of Nevada, Las Vegas

Fred and Harriet Cox Senior Design Competition Projects

Part of every UNLV engineering student’s academic experience, the senior design project stimulates engineering innovation and entrepreneurship. Each student in their senior year chooses, plans, designs, and prototypes a product in this required element of the curriculum. A capstone to the student’s educational career, the senior design project encourages the student to use everything learned in the engineering program to create a practical, real world solution to an engineering challenge. The senior design competition helps focus the senior students in increasing the quality and potential for commercial application for their design projects. Judges from local industry evaluate the projects on …

Math Education: A Messy Problem, Gizem Karaali

Pomona Faculty Publications and Research

The current state of math education in America is certainly not ideal, writes Gizem Karaali, but mathematicians, researchers, policy makers and others are working on it -- and it is definitely a problem worth working on.

A Modularized Tablet-Based Approach To Preparation For Remedial Mathematics, Kenneth A. Parker

Publications and Research

Basic arithmetic forms the foundation of the math courses that students will face in their undergraduate careers. It is therefore crucial that students have a solid understanding of these fundamental concepts. At an open- access university offering both two-year and four-year degrees, incoming freshmen who were identified as lacking in basic arithmetic skills were engaged in an experimental technology-enhanced workshop designed to provide them with a deeper understanding of arithmetic prior to their initial remedial coursework. Customized online content was created specifically for this experiment, and the first implementation (n=27) yielded statistically significant improvement, not only from pretest to post- …

Exploring Elementary Students’ Agricultural And Scientific Knowledge Using Evidence Centered Design, Molly R. Brandt

School of Natural Resources: Dissertations, Theses, and Student Research

The public is more disconnected from agriculture than ever. Americans are two to four generations removed from the farm, and a majority of Americans, even in rural agricultural states have no direct link to agriculture. As a result, the public lacks the knowledge and appreciation of the food, fuel, and fiber it demands. The National Center for Agricultural Literacy (NCAL) uses National Agricultural Learning Objectives (NALOs) to measure student’s agricultural knowledge. The purpose of this project is to develop assessments aligned with the NALOs and to use results from the assessments to further understand students’ agricultural literacy. This study focuses …

Teaching Numerical Methods In The Context Of Galaxy Mergers, Maria Kourjanskaia

Physics

Methods of teaching numerical methods to solve ordinary differential equations in the context of galaxy mergers were explored. The research published in a paper by Toomre and Toomre in 1972 describing the formation of galactic tails and bridges from close tidal interactions was adapted into a project targeting undergraduate physics students. Typically undergraduate physics students only take one Computational Physics class in which various techniques and algorithms are taught. Although it is important to study computational physics techniques, it is just as important to apply this knowledge to a problem that is representative of what computational physics researchers are investigating …

Facilitating Conceptual Learning In Quantitative Chemistry, Sarah R. Johnson

Electronic Theses and Dissertations

Traditional chemistry laboratory courses have a manual consisting of “step-by-step” experiments; instructions are given to complete experiments, requiring minimal information/concepts processing to be successful. This experience leaves students unprepared for the real-world, where critical thinking skills are needed to conduct research. This study focused on building analytical techniques, conceptual knowledge, and critical thinking skills used to solve research problems. A new quantitative chemistry laboratory manual was developed to transition students from traditional to inquiry-based experiments, requiring analytical method development. Data showed students having less difficulty using the new manual (0.8281 average difficulty) on method development exam questions and experiments, compared …

Multivariate Thinking In An Intro Stats Course – Is It Possible?, Beverly Wood

Publications

Many of our students have an intuitive sense that there is more to the story than univariate or bivariate data can tell us. We can acknowledge and encourage that habit of digging deeper by demonstrating some ways to look at additional variables. Simpson’s paradox and side-by-side scatter plots are ways to provide a glimpse of more complex analysis that are accessible to students in an introductory course with or without strong quantitative skills.

Program And Proceedings: Nebraska Academy Of Sciences 1880–2016, 136th Anniversary Year, One Hundred-Twenty-Sixth Annual Meeting

Nebraska Academy of Sciences: Programs and Proceedings

Program

Aeronautics and Space Science

Chemistry and Physics

Collegiate Academy: Biology

Earth Science

Biological and Medical Sciences

Anthropology

Collegiate Academy: Chemistry and Physics

Environmental Sciences

Aeronautics and Space Science, Poster Session

Maiben Memorial Lecture: Juliane Soukup, “Riboswitches Turn Students onto Research” Teaching of Science and Mathematics

Applied Science and Technology

History and Philosophy of Science

Concepts About Sedimentology And Stratigraphy In Undergraduate Geoscience Courses, Bailey Z. Kreager

Department of Earth and Atmospheric Sciences: Dissertations, Theses, and Student Research

This two-part study examines sedimentologic and stratigraphic concepts in undergraduate geoscience courses. The first part seeks to identify the various types of interactive engagement strategies used in undergraduate science courses, how they are used and in what fields. It also looks at areas in which the geosciences have excelled in interactive engagement strategies. Published studies describing interactive engagement strategies in college-level courses were collected and coded, which identified six emergent types of interactive engagement strategies: (1) Polling, (2) Full-Class Discussion and Activities, (3) In-Class Group Work, (4) Out-Of-Class Group Work, (5) Online Work, and (6) Other types. Interactive engagement strategies …

The Cantor Set Before Cantor, Nicholas A. Scoville

Topology

A special construction used in both analysis and topology today is known as the Cantor set. Cantor used this set in a paper in the 1880s. Yet it appeared as early as 1875 in a paper by the Irish mathematician Henry John Stephen Smith (1826 - 1883). Smith, who is best known for the Smith normal form of a matrix, was a professor at Oxford who made great contributions in matrix theory and number theory. In this project, we will explore parts of a paper he wrote titled On the Integration of Discontinuous Functions.

Topology From Analysis, Nicholas A. Scoville

Topology

Topology is often described as having no notion of distance, but a notion of nearness. How can such a thing be possible? Isn't this just a distinction without a difference? In this project, we will discover the notion of nearness without distance by studying the work of Georg Cantor and a problem he was investigating involving Fourier series. We will see that it is the relationship of points to each other, and not their distances per se, that is a proper view. We will see the roots of topology organically springing from analysis.

The Singing Cymbal: Is It Really Photon Momentum?, Thomas R. Moore, Samantha Collin, Nikki Etchenique

Student-Faculty Collaborative Research Publications

A simple demonstration that is occasionally used in the classroom to show that light carries momentum involves making an orchestral cymbal audibly ring using light from a common photoflash. A metal plate or a piece of foil can also be used, however, it appears that many people use a cymbal because the sound is easily heard at a reasonable distance. It is such an impressive example of the effects attributable to photon momentum that it is posted on the CERN website for educational under the name “singing cymbal.” Although it is an impressive demonstration, a series of simple classroom experiments …

Connecting Connectedness, Nicholas A. Scoville

Topology

No abstract provided.