Mathematical Representations In Magazine Advertisements: Have The Messages Changed In A Decade?,
2021
Monash University
Mathematical Representations In Magazine Advertisements: Have The Messages Changed In A Decade?, Jennifer Hall
Journal of Humanistic Mathematics
Although people's ideas about mathematics and mathematicians often develop from their school and home experiences, such ideas also are influenced by interactions with popular media. In this article, I report on findings from a study in which I analyzed magazine advertisements for representations of mathematics and mathematicians. Data collection took place in two phases, approximately a decade apart. In each phase, I reviewed a year’s worth of issues in each of six diverse, popular magazines for mathematical representations in advertisements. The frequency of mathematical advertisements decreased from Phase 1 to Phase 2, but the initial frequency was already extremely low, …
Peer Motivation: Getting Through Math Together,
2021
Menlo College
Peer Motivation: Getting Through Math Together, Jessica Mean, Wes Maciejewski
Journal of Humanistic Mathematics
Students have a complex relationship with mathematics. Some love it, but more often than not, the feelings are less favorable. These feelings can lead to decreased motivation which makes it difficult for students to engage with the subject as the semester progresses. Instructors also have difficulty addressing this waning motivation. In this paper, we claim peers are better able to connect with the students and this can be leveraged to better motivate students. We present an approach to having peers motivate their students. These peer interactions integrated with a mandatory mathematics course might improve students’ motivation.
In How Many Days Will He Meet His Wife?,
2021
Govt. Boys Higher Secondary School, Anjad Distt. Barwani (M. P.) India
In How Many Days Will He Meet His Wife?, Dipak Jadhav
Journal of Humanistic Mathematics
In how many days will he meet his wife? This is a question asked at the end of each of two problems embedded in the verses of the last chapter of the Vyavahāra-gaṇita (‘Mathematics of Transaction’) of Rājāditya of 12th century. He infuses elegance in those two problems by choosing the charming idea of a husband’s meeting with his wife after their quarrel. This paper not only presents the algorithms offered by Rājāditya to solve them on their own terms as well as on modern terms and discusses the historicity of the categories of those two problems but also …
Raise The (Proportion) Bar!,
2021
Northern Kentucky University
Raise The (Proportion) Bar!, Michael Waters
Journal of Humanistic Mathematics
This article, drawing mainly on references to teacher preparation textbooks, proposes proportion bars as a somewhat novel graphical approach to solving simple (direct) proportion problems and to illustrate the advantages of such an approach, which include accessibility with materials at early grade levels, allowance of students to better develop number sense and estimation, facilitation of setting up proportions, allowance for conceptual understanding and motivation of the procedure for solving direct proportions, assistance with part-to-part and part-to whole comparisons, and drawing of connections among mathematical topics. The emphasis is on teaching with understanding, rather than procedural knowledge.
“It’S All For The Best”: Optimization In The History Of Science,
2021
Pitzer College
“It’S All For The Best”: Optimization In The History Of Science, Judith V. Grabiner
Journal of Humanistic Mathematics
Many problems, from optics to economics, can be solved mathematically by finding the highest, the quickest, the shortest—the best of something. This has been true from antiquity to the present. Why did we start looking for such explanations, and how and why did we conclude that we could productively do so? In this article we explore these questions and tell a story about the history of optimization. Scientific examples we use to illustrate our story include problems from ancient optics, and more modern questions in optics and classical mechanics, drawing on ideas from Newton’s and Leibniz’s calculus and from the …
Humanistic Stem: From Concept To Course,
2021
WW/Humanities & Communication
Humanistic Stem: From Concept To Course, Debra T. Bourdeau, Beverly L. Wood
Journal of Humanistic Mathematics
Blending perspectives from the humanities and STEM fosters the creativity of all students. The culturally implicit dichotomy between the two meta-disciplines can be overcome with carefully designed courses and programs intent on doing so. The why and how of doing so through an online course is described with qualitative evidence of the success. Future plans for a full slate of such course and a virtual community are discussed.
Ahab's Arithmetic: The Mathematics Of Moby-Dick,
2021
Birkbeck College, University of London
Ahab's Arithmetic: The Mathematics Of Moby-Dick, Sarah B. Hart
Journal of Humanistic Mathematics
In this article we explore mathematical allusions in Herman Melville’s novel Moby-Dick. We argue that both the quantity and sophistication of these allusions are evidence for Melville’s high level of mathematical knowledge and ability. We discuss some of the most compelling mathematical imagery, as well as giving background on the several mathematicians and mathematics books mentioned in the novel. We also include some biographical details supporting the assertion that Melville had an unusually good mathematical education.
You Can Always Count On Word Problems,
2021
Claremont McKenna College
You Can Always Count On Word Problems, Mark Huber, Gizem Karaali
Journal of Humanistic Mathematics
No abstract provided.
Front Matter,
2021
Claremont Colleges
Essays On Behavioral Industrial Organization And Welfare.,
2021
Indian Statistical Institute
Essays On Behavioral Industrial Organization And Welfare., Priyanka Kothari Dr.
Doctoral Theses
Many traits of economic agents are well studied and understood by psychologists that are yet to be captured by economic theory. This thesis, in the field of behavioral economics, is yet another attempt at unifying the different approaches of the two well-established disciplines - we ask what does economics predict of the behavior of economic agents ... once the psychology behind their decisions is accounted for. In a nutshell, this thesis is about the implications of choice-making among available alternatives.We begin with the idea that an economic agent only derives satisfaction from what he consumes without worrying at all (let …
In Silicoidentification Of Toxins And Their Effect Onhost Pathways: Feature Extraction, Classificationand Pathway Prediction.,
2021
Indian Statistical Institute
In Silicoidentification Of Toxins And Their Effect Onhost Pathways: Feature Extraction, Classificationand Pathway Prediction., Rishika Sen Dr.
Doctoral Theses
Identification of toxins, which are either proteins or small molecules, from pathogens is of paramount importance due to their crucial role as first-line invaders infiltrating a host, often leading to infection of the host. These toxins can affect specific proteins, like enzymes that catalyze metabolic pathways, affect metabolites that form the basis of metabolic reactions, and prevent the progression of those pathways, or more generally they may affect the regular functioning of other proteins in signaling pathways in the host. In this regard, the thesis addresses the problem of identification of toxins, and the effect of perturbations by toxins on …
Mathematical Zendo: A Game Of Patterns And Logic,
2021
Westfield State University
Mathematical Zendo: A Game Of Patterns And Logic, Philip Deorsey, Corey Pooler, Michael Ferrara
Journal of Math Circles
Mathematical Zendo is a logic game that actively engages participants in pattern recognition, problem solving, and critical thinking while providing a fun opportunity to explore all manner of mathematical objects. Based upon the popular game of Zendo, created by Looney Labs, Mathematical Zendo centers on a secret rule, chosen by the leader, that must be guessed by teams of players. In each round of the game, teams provide examples of the mathematical object of interest (e.g. functions, numbers, sets) and receive information about whether their guesses do or do not satisfy the secret rule. In this paper, we introduce Mathematical …
Total Differentiability And Monogenicity For Functions In Algebras Of Order 4,
2021
Politecnico di Milano
Total Differentiability And Monogenicity For Functions In Algebras Of Order 4, I. Sabadini, Daniele C. Struppa
Mathematics, Physics, and Computer Science Faculty Articles and Research
In this paper we discuss some notions of analyticity in associative algebras with unit. We also recall some basic tool in algebraic analysis and we use them to study the properties of analytic functions in two algebras of dimension four that played a relevant role in some work of the Italian school, but that have never been fully investigated.
Fully-Kinetic Particle-In-Cell Simulations Of Photoelectron Sheath On Uneven Lunar Surface,
2021
Missouri University of Science and Technology
Fully-Kinetic Particle-In-Cell Simulations Of Photoelectron Sheath On Uneven Lunar Surface, Jianxun Zhao, Xinpeng Wei, Xiaoming He, Daoru Frank Han, Xiaoping Du
Mathematics and Statistics Faculty Research & Creative Works
This paper presents a modeling and simulation study of the photoelectron sheath near uneven lunar surface. A fully kinetic 3-D finite-difference (FD) particle-in-cell (PIC) code is utilized to simulate the plasma interaction with local uneven surface terrain on the lunar surface in 2-D photoelectron sheaths. The code is first validated using a 1-D plasma charging and sheath problem by comparing with a semi-analytic solution. Good agreement is obtained. The 2-D FD-PIC simulations present the distributions of electric potential and charged species densities near the uneven lunar surface. It shows that the surface potential is highly influenced by the exposure to …
Photoelectron Sheath Near The Lunar Surface: Fully Kinetic Modeling And Uncertainty Quantification Analysis,
2021
Missouri University of Science and Technology
Photoelectron Sheath Near The Lunar Surface: Fully Kinetic Modeling And Uncertainty Quantification Analysis, Jianxun Zhao, Xinpeng Wei, Zhangli Hu, Xiaoming He, Daoru Frank Han, Zhen Hu, Xiaoping Du
Mathematics and Statistics Faculty Research & Creative Works
This paper presents a modeling and uncertainty quantification (UQ) study of the photoelectron sheath near the lunar surface. A fully kinetic 3-D finite-difference (FD) particle-in-cell (PIC) code is utilized to simulate the plasma interaction near the lunar surface and the resulting photoelectron sheath. For the uncertainty quantification analysis, this FD-PIC code is treated as a black box providing high-fidelity quantities of interest, which are also used to construct efficient reduced-order models to perform UQ analysis. 1-D configuration is chosen to present the analytic sheath solution as well as to demonstrate the procedure and capability of the UQ analysis.
Introduction To Statistics In The Psychological Sciences,
2021
Marymount University
Introduction To Statistics In The Psychological Sciences, Linda R. Cote, Rupa Gordon, Chrislyn E. Randell, Judy Schmitt, Helena Marvin
Open Educational Resources Collection
Introduction to Statistics in the Psychological Sciences provides an accessible introduction to the fundamentals of statistics, and hypothesis testing as need for psychology students. The textbook introduces the fundamentals of statistics, an introduction to hypothesis testing, and t Tests. Related samples, independent samples, analysis of variance, correlations, linear regressions and chi-squares are all covered along with expanded appendices with z, t, F correlation, and a Chi-Square table. The text includes key terms and exercises with answers to odd-numbered exercises.
Psychology students often find statistics courses to be different from their other psychology classes. There are some distinct differences, especially involving …
Lattice-Ordered Pregroups Are Semi-Distributive,
2021
University of Denver
Lattice-Ordered Pregroups Are Semi-Distributive, Nikolaos Galatos, Peter Jipsen, Michael Kinyon, Adam Přenosil
Mathematics, Physics, and Computer Science Faculty Articles and Research
We prove that the lattice reduct of every lattice-ordered pregroup is semidistributive. This is a consequence of a certain weak form of the distributive law which holds in lattice-ordered pregroups.
Huygens' Principle For The Generalized Dirac Operator In Curved Spacetime,
2021
The University of Texas Rio Grande Valley
Huygens' Principle For The Generalized Dirac Operator In Curved Spacetime, Karen Yagdjian
School of Mathematical & Statistical Sciences Faculty Publications
In this article we give sufficient conditions for the generalized Dirac operator to obey the incomplete Huygens principle, as well as necessary and sufficient conditions to obey the Huygens principle by the Dirac operator in the curved spacetime of the Friedmann-Lemaître-Robertson-Walker models of cosmology.
A Gentle Introduction To Inequalities: A Casebook From The Fullerton Mathematical Circle,
2021
California State University, Fullerton
A Gentle Introduction To Inequalities: A Casebook From The Fullerton Mathematical Circle, Adam Glesser, Matt Rathbun, Bogdan Suceavă
Journal of Math Circles
Run for nearly a decade, the Fullerton Mathematical Circle at California State University, Fullerton prepares middle and high school students for mathematical research by exposing them to difficult problems whose solutions require only age-appropriate techniques and background. This work highlights one of the avenues of study, namely inequalities. We cover Engel's lemma, the Cauchy--Schwartz inequality, and the AM-GM inequality, as well as providing a wealth of problems where these results can be applied. Full solutions or hints, several written by Math Circle students, are given for all of the problems, as well as some commentary on how or when to …
Arithmetic Properties Of Septic Partition Functions,
2021
The University of Texas Rio Grande Valley
Arithmetic Properties Of Septic Partition Functions, Timothy Huber, Mayra Huerta, Nathaniel Mayes
School of Mathematical & Statistical Sciences Faculty Publications
Congruences and related identities are derived for a set of colored and weighted partition functions whose generating functions generate the graded algebra of integer weight modular forms of level seven. The work determines a general strategy for identifying and proving identities and associated congruences for modular forms on the principal congruence subgroup of level 7. Ramanujan's partition congruence modulo 7 serves as a prototype for the process used to prove new congruences for modular forms of level 7.
