Physical Sciences and Mathematics Commons^™

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 …

Quantitative Reasoning: What’S Math Got To Do With It?, Pamela Burdman

Numeracy

This keynote address explores the history and role of college math requirements with a focus on ensuring math courses serve to expand students’ horizons, rather than serve as gatekeepers. It discusses the advent of general education math courses, which brought more students into math departments, which ultimately contributed to broadening the scope of the courses to align with more students’ interests and majors, since their purpose was to advance quantitative reasoning, not mathematics skill per se. It also examines several practices to address calculus’ gatekeeping role: revising placement practices and prerequisites, redesigning courses, and updating instruction and assessment practices. Lastly, …

Collaborative Pathways To Cybersecurity Excellence: Insights From Industry And Academia In The Southeastern Us, Humayun Zafar, Carole L. Hollingsworth, Tridib Bandyopadhyay, Adriane B. Randolph

Journal of Cybersecurity Education, Research and Practice

This research article examines conversations happening between cybersecurity academics and industry leaders with a goal to improve the development of cybersecurity professionals. We specifically focus on efforts in the Southeast region of the United States. The discussion features insights from a panel consisting of an academic cybersecurity researcher, a Chief Information Officer (CIO) of a leading technology company with over 1,000 employees, and a CIO of a financial services firm, which employs over 3,000 people. The discussion sheds light on the challenges and opportunities involved in aligning cybersecurity programs with industry requirements. This article explores strategies for academia and businesses …

“Don’T Call On Me!”: Mediating Preservice Elementary Teachers’ Mathematics Anxiety In A Problem-Based Classroom, Christina Koehne, Wenyen Huang, Nataly Chesky

Excelsior: Leadership in Teaching and Learning

This study aims to understand the ways in which problem-based teaching in a mathematics content course can alleviate pre-service elementary school teachers' mathematics anxiety. The significance of this work is to help increase the content and pedagogical knowledge of mathematics education, as outlined in STEM policies. Using a mixed method approach, the teachers-researchers explore what methods, procedures, and other perhaps unknown variables, helped pre-service elementary teachers decrease their mathematics anxiety during two mathematics content courses. The findings illuminate five major themes the authors discuss, which are illustrated by rich descriptions of students’ narratives and interviews. Given the importance of mathematics …

Volcanic Ash In Lincoln County, Kansas, Logan Erichsen

SACAD: John Heinrichs Scholarly and Creative Activity Days

This report outlines the analysis of Pearlette volcanic ash in Lincoln County Kansas. Both field and lab methods were used to compile this report. Fort Hays State University alumni Dr. Ron Whitmer allowed use of his property on which the ash is found. Auguring was utilized as the main form of field work which allowed mapping of the subsurface ash layer. The ash was analyzed by UMKC using their scanning electron microscope (SEM). At Fort Hays, the SEM reports were compared to thin sections of the ash using plane and cross polarized light in petrographic microscopes. The ash is comprised …

Glacial Resource Analysis – Castner Glacier, Alaska, Logan Erichsen

SACAD: John Heinrichs Scholarly and Creative Activity Days

Glaciers cover much of the 49th U.S. state of Alaska. While many of these are deep blues, just as many are “rock” glaciers which means the glacier is covered in sediment. This sediment can be transported many miles through the mountain ranges. With the current climate melting these glaciers they are receding. Sediment and rock samples can now be safely collected from different locations where glaciers have released sediment that was locked in the ice for an untold number of years. Much of the USGS data comes from the 1940’s through 1960’s due to the size and remoteness of Alaska. …

Climatology Of Tornadoes In Kansas, John P. Wasinger, Todd Moore

SACAD: John Heinrichs Scholarly and Creative Activity Days

Recent studies report changes to the climatology of tornadoes in the United States (US). Changes with the most supporting evidence include an increase in the intra- and inter-annual variability, increased concentration of tornadoes in bigger outbreaks, and a geographic shift of the densest tornado activity away from Tornado Alley in the Great Plains and toward the Great Lakes and Southeast regions of the US. Broad, national-level changes are valuable, but they can mask changes occurring at the state and sub-state levels where mitigation efforts are most effective. Kansas is of interest due to its reputation as a hotbed of tornado …

Kinetic Controlled-Growth Synthesis Of Cadmium Selenide Nanocrystal Quantum Dots, Aiden Gideon, Maverick Flax

SACAD: John Heinrichs Scholarly and Creative Activity Days

A kinetic controlled growth method has been used to synthesize cadmium selenide (CdSe) nanocrystals. Nanocrystal structures are consistent with that of a quantum dot. Ligand passivation on the surface of the micelle is best carried out using trioctylphosphine (TOP). This allows one to tune the particle surface chemistry. Quantum dots intersperse as colloids within the 1-octadecene solvent matrix. The color gradient observed among the samples is indicative of its dependence on particle size which is consistent with the “particle-in-a-box” model theory. Results also indicate that the particle size of these nanocrystals is dependent on reaction time and maybe dependent on …

Computational Modeling Of Retinal Damage Thresholds, Payton Hoffman, Eos Shapland, Alan Enriquez

SACAD: John Heinrichs Scholarly and Creative Activity Days

The Scalable Effects Simulation Environment(SESE), is the computational Biophysics software contracted by Nanohmics we used for our research. The goal was to find the minimum energy necessary to damage the retina from 2 laser sources, a 532 nm He-Ne source, and Supercontinuum Laser(SCL) source at 400-1400nm. We needed a 10 times damage ratio for significance. Our data did not show this trend.

Float Like A Butterfly, Sting Like A Bee!, Kobe D. Rome

SACAD: John Heinrichs Scholarly and Creative Activity Days

By injecting an electron into the empty pie* molecular orbital (LUMO) of Amino Acids in gas phase, we measure the Vertical Attachment Energies (VAEs) for the formation of short-lived anion states of these species using electron transmission spectroscopy (ETS). Our ETS study, a first of its kind to measure the VAE for the simplest of proteins, Glycine-Glycine (Gly-Gly), is currently in progress. Based on our previous measurements for several Amino Acids including Glycine, we expect a common range of attachment energy (1.50 – 2.00 eV) for Gly-Gly.

Software Based Approach To Realtime Sports Graphics, Honesty Beaton

SACAD: John Heinrichs Scholarly and Creative Activity Days

My research presents a software-based approach to real-time sports graphics, leveraging Unity, C#, and OpenCV. We aimed to enhance viewer engagement by providing dynamic and interactive graphics during sports broadcasts. My method involves real-time analysis of video feeds to cut out players, place them onto a virtual court, and underlay immersive visuals, giving the appearance that virtual visuals physically exist beneath a player. Evaluation of this approach demonstrates the effectiveness of utilizing a software-based approach for real-time sports graphics, akin to traditional hardware-based solutions

Simulating Continuous Gravitational Waves, Ivan Mihael Villalba Moran

SACAD: John Heinrichs Scholarly and Creative Activity Days

Using a table-top Michelson Interferometer to replicate Laser Interferometer Gravitational-Wave Observatory (LIGO) arrangement, we use sound waves to simulate Continuous Gravitational Waves (CWs). Using the NumPy package in Python programming, we recover the frequency of the injected sinusoidal signal using the mathematics of the Fourier Transform. Currently, we are trying to implement the Hidden Markov Model along with the Viterbi Algorithm as a method to detect Wandering Continuous Gravitational Waves.

Igniting Passion:​ A Detailed Journey Through Rocketry Course Activities, Krish M. Patel, Hannah Caycedo, Joshua Gage, Josi Maness, Kevin Park, Mufeng Shen

SACAD: John Heinrichs Scholarly and Creative Activity Days

This course is a semester-long adventure in rocketry, led by Dr. Paul Adams. It covers everything about building and flying rockets, starting from the basics to more advanced rocketry. Students learn how to build rockets and use equipment used I payload systems like and altimeter and a GPS. We also learned about the importance of safety involved with building and launching rockets.

Game 'Make 24', Seunghyeok Jang

SACAD: John Heinrichs Scholarly and Creative Activity Days

• Basic numerical skills are a must-have in today’s world. However, children are not picking up the four basic numerical skills adequately.

• To improve their mathematical skills, they need a way to learn the numerical skills easily.

• "Make 24" is a game for young children who are having a difficult time with basic numerical operations. The game helps children improve their numerical skills by playing this game.

Subsurface Mapping Of Intra-Arbuckle Shale In North-West Kansas Using Well Log Data, Cole M. Denny

SACAD: John Heinrichs Scholarly and Creative Activity Days

The aim of this research was to enhance knowledge of Intra-Arbuckle Shale (IAS) distribution and structure through new maps, cross sections, and well log correlations. Understanding the shale(s) ultimately advances the discernment of complex Arbuckle reservoirs that are critical to the Kansas petroleum industry. IAS has been intercepted by oil wells throughout Kansas, but this study focuses on their presence in portions of Ellis, Rooks, Graham, and Trego counties. To study the distribution and structure of IAS, data from micro-resistivity and gamma ray well logs were collected from more than three hundred Arbuckle oil and gas wells. On each well …

University Of Johannesburg Institutional Repository Cybersecurity Output: 2015-2021 Interdisciplinary Study, Mancha J. Sekgololo

Journal of Cybersecurity Education, Research and Practice

This study examines cybersecurity awareness in universities by analyzing related research output across different disciplines at the University of Johannesburg. The diffusion of innovation theory is used in this study as a theoretical framework to explain how cybersecurity awareness diffuses across disciplines. The University of Johannesburg Institutional Repository database was the data source for this study. Variations in cybersecurity keyword searches and topic modeling techniques were used to identify the frequency and distribution of research output across different disciplines. The study reveals that cybersecurity awareness has diffused across various disciplines, including non-computer science disciplines such as business, accounting, and social …

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.

The International Crisis In Numeracy Education, Nathan D. Grawe

Numeracy

The OECD recently released results from the 2022 administration of the Programme for International Student Assessment test. As other studies suggest, pandemic mitigation policies resulted in deep learning loss including in basic mathematics which forms the foundation of numeracy. Perhaps of greater concern, however, in many countries pandemic effects amplify declining performance that dates back a decade or more. Losses of two or more years' worth of mathematics education are not uncommon among developed countries. The editorial makes an urgent call for research that identifies practical steps to reverse these trends.

Infusing Quantitative Reasoning Skills Into A Differential Equation Class In An Urban Public Community College, Tanvir Prince

Numeracy

This research centers on implementing Quantitative Reasoning (QR) within a differential equations course at an urban public community college. As a participant in the Numeracy Infusion for College Educators (NICE) faculty development program, I sought to integrate QR skills into my curriculum. Students in the course were introduced to QR goals using real-world data sets, particularly those related to population growth, which aim to enhance their understanding, sharpen their problem-solving abilities, and cultivate a positive perspective on the real-world relevance of mathematics. Preliminary findings indicate varied levels of QR skill development among students. These results underscore the potential benefits of …

Full Issue

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

Reconciling Calculus Students’ Understanding Of Average Across Multiple Contexts, Franklin Yu

Journal of Mathematics and Science: Collaborative Explorations

The idea of average is utilized in a variety of scenarios, yet the literature has indicated that students have multiple disconnected understandings for the concept of average. In this study, I provide an account of two students who reconciled their meanings for average by considering an average as a replacement with a constant value. This report discusses an intervention that teachers can leverage to help their students make their meanings for average coherent and conceptually based.

Seven Properties Of Highly Effective Problems, Thomas Ales, Kevin Peterson, Constantine Roussos

Journal of Mathematics and Science: Collaborative Explorations

In an effort to provide more critical thinking opportunities in their courses, instructors are embracing the power of problem- and project-based learning (PBL). In this paper we address the importance of problem quality when utilizing PBL. We list seven important properties that a high-quality problem should have. We conclude with an example of a problem that possesses all seven properties.

Introducing Flexible Assessment Into A Computer Networks Course: A Case Study, Joe Meehean

Journal of Mathematics and Science: Collaborative Explorations

With overall positive results and limited drawbacks, I have adapted modern pedagogical techniques to address a common difficulty encountered when teaching a computer networks course. Due to the tiered nature of the skills taught in the course, students often fail unnecessarily. Using mastery learning, competency-based education, and specifications grading as a foundation, I have developed a course that allows students with varied skills and abilities to pass. The heart of this approach is the flexible assessment of programming assignments which eliminates due dates and allows students to have their work graded and regraded without penalty. Flexible assessment also defines an …

Collaborative Leadership For Research Investigating Stem Teacher Preparation Across Many Institutions, Dana P. Franz, Keith Hubbard, Devon Brenner

Journal of Mathematics and Science: Collaborative Explorations

This paper describes the creation of a collaborative research team investigating the impacts of education preparation on the recruitment and retention of science and mathematics teacher candidates in rural settings. Our collaborative research includes a core leadership team across 3 institutions and with collaboration across 14 total universities. We discuss the process from the inception through year two of this program, including the structure of leadership, communication techniques with the large group, and efforts to translate this research into scalable action. Using a framework for transdisciplinary research (Hall et al., 2012), we describe the processes and challenges that we encountered …