Physical Sciences and Mathematics Commons^™

Navigating A Calculus Course During A Pandemic: A Usma Perspective, Shane K. Smith, Tyson H. Walsh, Lee Evans

Journal of Humanistic Mathematics

In this article we analyze publications written about different teaching modalities and evaluate how each applies to a calculus class during the on-going COVID-19 pandemic. We focus on the positives and negatives of teaching and learning in a virtual, classroom, or HyFlex environment. Although arguments could be made for each environment, especially given different institutional objectives, this work aims to explain why we eventually preferred teaching our Fall 2020 multivariable calculus course in a face-to-face classroom setting at the United States Military Academy at West Point. We also offer measures of performance to compare the current COVID-19 semester with previous …

On The Mathematics Of Social Distancing, Robert Haas

Journal of Humanistic Mathematics

Early in the COVID-19 pandemic, when spring began to make itself felt, photos showed New Yorkers enjoying the outdoors, while properly socially distanced, by sitting on the grass in a square lattice of circles. But the planners should have consulted a mathematician for the design, because significantly more people (over 15% more) could enjoy the same area safely if the circles were closer packed into a hexagonal lattice.

Covid-19, Vaccines, And Decision Theory, Michael A. Lewis

Journal of Humanistic Mathematics

In this piece, I delve into some thoughts I've had about decision theory. These have been inspired by the vaccine rollout phase of the COVID-19 Pandemic. I focus on decision making under uncertainty, as it relates to the decision to get vaccinated or not.

The Hamster Diaries, Pamela B. Pierce

Journal of Humanistic Mathematics

When the pandemic hits, the author acquires a hamster, who provides some humorous anecdotes and some much-needed inspiration.

Mindfully Navigating The Wind And Water: Defining The Currents Of Metaphors That Interfere With Excellence In Mathematics Education, Rob Blom, Olivia Lu, Chunlei Lu

Journal of Humanistic Mathematics

We bring to the forefront of educational thought a specific attitude toward the COVID-19 crisis that harnesses the symbolism of wind and water to navigate the cultural storm interfering upon our mathematical and pedagogical craft. The purpose of our paper is to open up space for opportunities in mathematics education using integral mindfulness as the rudder to readjust our bearings. More specifically, through conceptual analyses and making explicit the currents of change, disorder, and technology, we can apply discernment to these metaphors that intersect our pedagogy to re-align efforts and attitudes toward an integrated (aperspectival) culture of mathematics education. Through …

Unmotivated, Depressed, Anxious: Impact Of The Covid-19 Emergency Transition To Remote Learning On Undergraduates’ Math Anxiety, Melinda Lanius, Tiffany Frugé Jones, Samantha Kao, Tynan Lazarus, Alex Farrell

Journal of Humanistic Mathematics

In summer 2020, we invited the 6761 undergraduate students who took a Spring 2020 math course at the University of Arizona to participate in a survey, with 13% responding. We asked about their experience with the emergency transition to remote learning and measured their math anxiety before and after the transition using the well-established Abbreviated Math Anxiety Scale(AMAS). “Unmotivated, depressed, anxious” are the words one undergraduate used to describe their emergency transition to remote learning. Our results indicate that limited access to quality technology and inadequate communication with an instructor were the two greatest predictors for an increase in math …

Nilpotents Leave No Trace: A Matrix Mystery For Pandemic Times, Eric L. Grinberg

Journal of Humanistic Mathematics

Reopening a cold case, Inspector Echelon, high-ranking in the Row Operations Center, is searching for a lost linear map, known to be nilpotent. When a partially decomposed matrix is unearthed, he reconstructs its reduced form, finding it singular. But were its origins nilpotent?

A Mother-Mathematician Meets The Covid-19 Era, Bonnie Jacob

Journal of Humanistic Mathematics

Just ask the family cat: we are not all in this together, and never were. In this piece, I describe my journey as a mother and mathematician in the United States during the COVID-19 pandemic. Even though I am one of the lucky ones, we could do so much better.

Teiresias, Proportions, And Sexual Pleasure, Spyros Missiakoulis

Journal of Humanistic Mathematics

In this short article, I claim that Teiresias, the blind prophet of Apollo, in order to answer the question of whether “in sexual intercourse the woman had a larger share of pleasure than the man did”, measured the abstract concept of sexual pleasure and acted as a present-day scholar. With the help of numerical, not geometrical, proportions, he ended up with the conclusion “a man enjoyed one-tenth of the pleasure and a woman nine-tenths”.

Happiness In Mathematics Education: The Experiences Of Preservice Elementary Teachers, Jeffrey Pair, Kent Dinh

Journal of Humanistic Mathematics

In this paper, we discuss preservice elementary teachers (PSTs) self-report of their happiness or unhappiness. Several times throughout a mathematics content capstone course, PSTs responded to prompts in which they described times from their past schooling experiences or during the course in which they experienced happiness or unhappiness in learning mathematics. Through thematic analysis, we examined their common experiences related to happiness and their mathematics learning. We found that PSTs’ happiness is related to expectations of themselves, their teachers, their peers, and mathematics itself. The study illuminates PST beliefs about mathematics teaching, collaborative group work, and the nature of mathematical …

Middle School Students Generating Mathematical Problems From A Real-Life Situation, David Coffland, Ying Xie

Journal of Humanistic Mathematics

In this study, we examined the effect of different presentation formats of a realistic situation on students’ mathematical problem-posing behavior. We divided thirty-six middle school students into two groups, gave them a pretest, and then showed them a realistic, problem-posing situation in Artifact or Video format. We used Silver’s core dimensions of creativity, namely fluency, flexibility, and originality, to measure participants’ problem-posing activity. The results for the fluency measures showed that the Artifact group wrote more questions than the Video group but the same number of mathematics problems. The Video group posed problems in more mathematical domains than the Artifact …

Makers Do Math! Legitimizing Informal Mathematical Practices Within Making Contexts, Amber Simpson, Signe Kastberg

Journal of Humanistic Mathematics

In this paper, we argue that making activities within non-formal learning environments (e.g., museums, libraries) provide opportunities to engage youth in what we define as mathematical practices for making, everyday mathematical practices within the context of making activities. The mathematical practices identified from two non-formal school-based contexts highlighted three mathematical practices for making: informal measurement, spatial reasoning, and curiosity. These practices are identified in prior scholarship as being beneficial and foundational for the understanding of mathematical concepts. As educators and researchers turn to non-formal and informal contexts, with an eye toward understanding ways youth engage in the activity of making, …

Plane Figurate Number Proofs Without Words Explained With Pattern Blocks, Gunhan Caglayan

Journal of Humanistic Mathematics

This article focuses on an artistic interpretation of pattern block designs with primary focus on the connection between pattern blocks and plane figurate numbers. Through this interpretation, it tells the story behind a handful of proofs without words (PWWs) that are inspired by such pattern block designs.

Intersection Cographs And Aesthetics, Robert Haas

Journal of Humanistic Mathematics

Cographs are complete graphs with colored lines (edges); in an intersection cograph, the points (vertices) and lines (edges) are labeled by sets, and the line between each pair of points is (or represents) their intersection. This article first presents the elementary theory of intersection cographs: 15 are possible on 4 points; constraints on the triangles and quadrilaterals; some forbidden configurations; and how, under suitable constraints, to generate the points from the lines alone. The mathematical theory is then applied to aesthetics, using set cographs to describe the experience of a person enjoying a picture (Mu Qi), poem (Dickinson), play (Shakespeare), …

Seeing Mathematics And Seeing Mathematicians, Mark Huber, Gizem Karaali

Journal of Humanistic Mathematics

No abstract provided.

Front Matter

Journal of Humanistic Mathematics

No abstract provided.

Machine Learning-Based Soft Computing Regression Analysis Approach For Crime Data Prediction, Rabia Musheer Aziz, Aftab Hussain, Prajwal Sharma, Pavan Kumar

Karbala International Journal of Modern Science

The crime rate in India is considerably increasing day by day. Consequently, the data associated with crime is also increasing, opening doors for data-driven approaches to these data to extract insightful knowledge, which can help police and other law enforcement organizations of the country in crime control and prevention. Crime prediction using machine learning algorithms on crime data can predict region-wise crime counts. In this paper, a machine learning-based soft computing regression analysis approach for Indian Crime Data Analysis (ICDA) is proposed. Different regression algorithms, namely, Simple Linear Regression (SLR), Multiple Linear Regression (MLR), Decision Tree Regression (DTR), Support Vector …

Witnessing Climate Change: What I Have Learned From My Expeditions To The Greenland Ice Sheet, Åsa Rennermalm

Sustainability Seminar Series

Greenland ice sheet and the Arctic region are experiencing some of the largest impacts of climate change on Earth. Since the 1990s, Greenland ice sheet surface melting has increased and is now one of the leading drivers of global sea‐level rise. For over a decade, my team and I have traveled to Greenland to study how climate change transforms the surface melting of the ice sheet. In this talk, I will share what we have learned from observing rivers on the ice sheet and tundra, and from extracting shallow ice cores high up on the ice sheet. Our ice cores …

The Effect Of Marine Snow Particle Distribution On The Foraging Behavior Of Calanus Pacificus, Elena Beckhaus

Theses

Marine snow is a major component of the biological pump, through which carbon is exported to the deep ocean. The sinking of marine snow can be disrupted by organisms, including many species of zooplankton that ingest or break up aggregates. These processes can have important impacts on planktonic food web dynamics and carbon export. Marine snow can have vertically patchy distributions, occurring in thin layers, which may further affect interactions with zooplankton. In this lab-based study, we examined how the presence of a marine snow layer affects copepod behavior and ingestion.

We conducted a series of experiments in which copepods …

Offshore Spreading Of A Supercritical Plume Under Upwelling Wind Forcing: A Case Study Of The Winyah Bay Outflow, Alexander E. Yankovsky, Diane B. Fribance, Douglas Cahl, George Voulgaris

Marine Science

In this study, we present observations of the Winyah Bay (WB) plume (SC, United States) formed by high freshwater discharge and a moderate upwelling-favorable wind acting continuously for ∼1.5 days prior to the shipboard survey. If a similar wind forcing persists over a longer period, the plume turns upstream (against its natural propagation) and curves offshore forming a “filament” with minimal transverse spreading, as seen in numerous satellite images. The observed plume comprises a train of tidal sub-plumes undergoing rotational adjustment and being transported offshore by Ekman dynamics. The WB outflow is supercritical in terms of the interior Froude number. …

Identifying Available Resources And Agricultural Practices Useful In Soil Fertility Management To Support Orange-Fleshed Sweet Potato Cultivation On Smallholder Farms In Mozambique, Rafaela Feola Conz, Engil Isadora Pujol Pereira, Abdul Naico, Maria Isabel Andrade, Johan Six

School of Earth, Environmental, & Marine Sciences Faculty Publications

Orange-fleshed sweet potato is an important source of macro-and micronutrients for humans, particularly in resource-poor rural communities. However, sweet potato cultivation removes large amounts of nutrients from the soil. Hence, soil fertility replenishment is vital to secure long-term food production. The lack of access to fertilizers hinders the ability of farmers to supply and replenish soil nutrients, intensifying food insecurity. This study aimed at identifying locally available organic residues and agricultural practices with potential application in soil fertility management to prevent soil degradation in southern Mozambique. We conducted a survey to gather information on the farmers’ demographics and farming systems …

The Reduced Order Method For Solving The Linear Complementarity Problem With An M-Matrix, Xi-Ming Fang, Heng-Jun Zhao, Zhijun Qiao

School of Mathematical & Statistical Sciences Faculty Publications

In this paper, by seeking the zero and the positive entry positions of the solution, we provide a direct method, called the reduced order method, for solving the linear complementarity problem with an M-matrix. By this method, the linear complementarity problem is transformed into a low order linear complementarity problem with some low order linear equations and the solution is constructed by the solution of the low order linear complementarity problem and the solutions of these low order linear equations in the transformations. In order to show the accuracy and the effectiveness of the method, the corresponding numerical experiments …

Dominance Of Diffusive Methane Emissions From Lowland Headwater Streams Promotes Oxidation And Isotopic Enrichment, Andrew L. Robison, Wilfred M. Wollheim, Clarice R. Perryman, Annie R. Cotter, Jessica E. Mackay, Ruth K. Varner, Paige Clarizia, Jessica G. Ernakovich

Faculty Publications

Inland waters are the largest natural source of methane (CH4) to the atmosphere, yet the contribution from small streams to this flux is not clearly defined. To fully understand CH4 emissions from streams and rivers, we must consider the relative importance of CH4 emission pathways, the prominence of microbially-mediated production and oxidation of CH4, and the isotopic signature of emitted CH4. Here, we construct a complete CH4 emission budgets for four lowland headwater streams by quantifying diffusive CH4 emissions and comparing them to previously published rates of ebullitive emissions. We also examine the isotopic composition of CH4 along with the …

Snow Cover Variability And Trend Over The Hindu Kush Himalayan Region Using Modis And Srtm Data, Nirasindhu Desinayak, Anup K. Prasad, Hesham El-Askary, Menas Kafatos, Ghassem R. Asrar

Mathematics, Physics, and Computer Science Faculty Articles and Research

Snow cover changes have a direct bearing on the regional and global energy and water cycles and the change in the Earth's climate conditions. We studied the relatively long-term (2000–2017) altitudinal spatiotemporal changes in the coverage of snow and glaciers in one of the world's largest mountainous regions, the Hindu Kush Himalayan (HKH) region, including Tibet, using remote sensing data (5 km grid resolution) from the Moderate Resolution Imaging Spectroradiometer (MODIS) on board the Terra satellite. This dataset provided a unique opportunity to study zonal and hypsographic changes in the intra-annual (accumulating season and melting season) and interannual variations in …

Design And Fabrication Of Nanostructured Electrodes For Complementary Electrochemical And Photoelectrochemical Water Splitting, Kholoud El Sayed Abousalem

Theses and Dissertations

Designing highly active, durable, and nonprecious electrodes for overall water splitting is of urgent scientific importance to realize sustainable hydrogen production. Accordingly, the need to search efficient energy production systems is of crucial necessity. In this thesis, two various systems for sustainable hydrogen production have been reported using electrochemical and photoelectrochemical pathways. In the first part of the thesis, electrochemical water splitting involving both hydrogen evolution reaction (HER) and oxygen evolution reaction (OER) has been established. To this end, an innovative approach is demonstrated to synthesize flower-like 3D homogenous trimetallic Mn, Ni, Co phosphide catalysts directly on nickel foam via …

Transition Metal Phosphides For High Performance Electrochemical Energy Storage Devices, Amina Saleh

Theses and Dissertations

Electrochemical energy storage technologies are nowadays playing a leading role in the global effort to address the energy challenges. A lot of attention has been devoted to designing hybrid devices known as supercapatteries which combine the merits of supercapacitors (high power density) and rechargeable batteries (high energy density). Transition metal phosphides (TMP) are a rising star for supercapattery anode materials thanks to their high conductivity, metalloid characteristics, and kinetic favorability for fast electron transport. Herein, new TMP-based materials were synthesized for use as supercapattery positive electrodes, via a multifaceted approach to yield devices enjoying concurrently high power and energy densities. …

Atomistic Simulation Of Na+ And Cl- Ions Binding Mechanisms To Tobermorite 14Å As A Model For Alkali Activated Cements, Ahmed Abdelkawy

Theses and Dissertations

The production of ordinary Portland cement (OPC) is responsible for ~8% of all man-made CO2 emissions. Unfortunately, due to the continuous increase in the number of construction projects, and since virtually all projects depend on hardened cement from the hydration of OPC as the main binding material, the production of OPC is not expected to decrease. Alkali-activated cement produced from the alkaline activation of byproducts of industries, such as iron and coal industries, or processed clays represents a potential substitute for OPC. However, the interaction of the reaction products of AAC with corrosive ions from the environment, such as Cl-, …

Real-World Applications For Virtual Fences – What Are Potential Benefits For Conservation?, F. Riesch, M. Komainda, J. Horn, J. Isselstein

IGC Proceedings (1977-2023)

Livestock grazing can enhance biodiversity and ecosystem services in agricultural landscapes. In many parts of Europe, however, grazing has lost its importance, especially in the dairy sector. Large proportions of permanent grassland have been converted to arable land or intensified by fertilization and frequent defoliation. The disappearance of large herbivores and extensively grazed pastures contributes to the loss of structural, functional and biological diversity and ecosystem services. Modern technologies, which circumvent the cost- and labour-intensive installation of physical fences, could facilitate a precise spatio-temporal management of livestock and promote grazing. We reviewed the literature on the state-of-the-art of virtual fencing, …

Sahiwal Breed In Pastoral Production Systems In Kenya: Future Roles And Existing Gaps In Knowledge And Supportive Technical Logistics; A Review, Samson I. Mwangi, E. D. Ilatsia

IGC Proceedings (1977-2023)

Sahiwal genetic resources is an integral part of the ASALs economy of Kenya. Sahiwal is the largest single dual purpose cattle breed kept by the pastoral communities in the ASALs where livestock products are the main drivers of food and nutrition security, and a source of income to support other household obligations. It was introduced in Kenya to upgrade the low performing small east African Zebu because of its superior productive and reproductive performance. The promising results of this upgrading programme led to the breed gaining preference over the local Zebu among the Maasai pastoralists. Despite the impressive results from …

Potential Of Croton Megalocarpus Nut As An Alternative Protein Supplement For Feeding Of Ruminants In The Tropics, E. K. Njoroge, C. C. Wambui, C. B. Wasike

IGC Proceedings (1977-2023)

Croton megalocarous is a tree native to the arid and semi-arid rangelands of East Africa that produces nuts reported to contain high crude protein (CP). However, they are often neglected as a potential feed due to lack of information on how best to utilize them. This study was conducted to evaluate the chemical composition and in sacco dry matter (DM) degradability of four forms of croton namely whole nut (WN), peeled nut (PN), De-husked nut (DhN) and Defatted seed (DfS). DM of all forms was above 89%, ash content was highest in WN (5.9%) and least in PN (2.2%). Crude …