Digital Commons Network^™

J. Gordon Gose, Alfred Harsch

Washington Law Review

Noting the passing of Professor Gose.

Secrets On The Texas-Mexico Border: Leiva Et Al. V. Ranch RescuE And Rodriguez Et Al. V. Ranch Rescue And The Right Of Undocumented Aliens To Bring Suit, Brooke H. Russ

University of Miami Inter-American Law Review

No abstract provided.

Lay Down And Wait For Good News Unless You Are Bowling Alone: A Comparison Of The Identity Crisis Confronting The Japanese Corporate Warrior And The American Corporate Law Firm Associate, Mi Kim

University of Miami International and Comparative Law Review

No abstract provided.

An Explanation Of The Supervisory Model Used By Elementary Principal Supervisors In The State Of Missouri, David J. Hvidston, Bret Range, J Anderson, Brady Quirk

School Leadership Review

The goal for this paper was to discuss the efforts a school district has taken to utilize elementary principal supervisors to build and develop principals’ leadership capacities. The question considered was: (1) How are principals supervised and evaluated in one district? Attempting to answer this question is an important step in operationalizing guiding principles that can be shared with principal supervisors. The discussion included the importance of standards, the modeling of instructional supervision by principal supervisors, the reliance of guiding questions and potential data sources. Additional critical factors included coaching with two-way communication based on a trusting, reflective relationship. As ...

The Antitrust Jurisprudence Of Neil Gorsuch, John M. Newman

Florida State University Law Review

In 2017, the U.S. Senate confirmed Neil M. Gorsuch’s nomination to serve on the Supreme Court. Like Justice Stevens before him, Gorsuch’s primary area of expertise is anti-trust law. Like Stevens, Gorsuch both practiced and taught in the field before joining the bench. As a judge for the Tenth Circuit Court of Appeals, Gorsuch penned multiple substantive antitrust opinions.

His unique expertise will likely situate Gorsuch as one of the Court’s leading voices on antitrust matters for decades to come. A close examination of his prior antitrust opinions thus offers vital insight into his approach to ...

Five Things You Should Know About Jesuit Worldwide Learning: Higher Education At The Margins, Martha Habash

Jesuit Higher Education: A Journal

No abstract provided.

Recent Decline Of Lowland Populations Of The Western Gray Squirrel In The Los Angeles Area Of Southern California, Daniel S. Cooper, Alan Muchlinski

Bulletin of the Southern California Academy of Sciences

We provide an overview of the distribution of lowland and otherwise isolated populations of the western gray squirrel (Sciurus griseus) in the Los Angeles area of southern California, an area that has experienced a recent and ongoing invasion by the non-native eastern fox squirrel (Sciurus niger), an urban-adapted species introduced a century ago. Away from its strongholds in the western Santa Monica Mountains, San Gabriel Mountains, and Santa Ana Mountains, the western gray squirrel is resident locally in both the Santa Susana and the Verdugo Mountains, in Griffith Park, in low hills at the eastern periphery of the San Gabriel ...

Casebook Title Page & Front Matter

Western Public Health Casebooks

No abstract provided.

The Politics Of Fertility: Population And Pronatalism In Ladakh, Jennifer Aengst

HIMALAYA, the Journal of the Association for Nepal and Himalayan Studies

In India’s northwestern region of Ladakh, the linkage between reproduction, politics, and fertility is both complicated and contested, evident in increasing population discourses and the re-emergence of a Buddhist pronatalist movement. This paper examines the impacts of population discourses and pronatalism on women’s reproductive decision-making, as well as on the delivery of healthcare throughout Ladakh. Population discourses currently circulating produce two reproductive subjects—the “hyper-fertile Muslim woman” and the “vulnerable Buddhist”—both of which have been central in revitalizing Buddhist pronatalism. Data collected through a hospital-based survey and interviews shows that fertility behavior is shaped by religious interpretations ...

Mensagem-Poem Das Irmãs De Kalandula

Missão Espiritana

No abstract provided.

Gender Preferences For Economic, Social, And Environmental Value Creation Goals (Interactive Paper), Amanda Elam, Diana Hechavarria, Amy E. Ingram, Siri Terjesen, Rachida Justo

Frontiers of Entrepreneurship Research

Scholars have argued for a more holistic view of entrepreneurial value creation and motivations as empirical findings consistently suggest that some entrepreneurs exhibit strong non-monetary values (Douglas and Shepherd, 2000; Filley and Aldag, 1978; Gorgievski, Ascalon and Stephan, 2010; Low and MacMillan, 1988). We explore motives for economic, social, and environmental value creation goals from a gender perspective. The economic view of entrepreneurship assumes the main incentive is the opportunity to earn rents (Shane and Venkataraman, 2000). However, recently social value and environmental value creation been recognized as an essential feature of entrepreneurship by scholars (Austin et al., 2006; Zahra ...

Entrepreneurial Opportunity As Expressed In Actions (Interactive Paper), Rok Stritar, Mateja Drnovšek

Frontiers of Entrepreneurship Research

Dimov (2010) suggested that the notion of entrepreneurial opportunity could be better adapted to entrepreneurship reality by focusing on the substance of entrepreneurial behavior, that is, observing entrepreneurs act as they seize opportunities. This study focuses on early techniques and actions of novice entrepreneurs that over time turned out to be key players. By trying to answer “How do novice entrepreneurs that identified an opportunity in an emerging industry seize and develop the opportunity?” we seek to add to current knowledge on what techniques and actions entrepreneurs employ in opportunity recognition and development process by studying novice entrepreneurs in emerging ...

Teschner V. Commissioner, 38 T.C. ... No. 101 (1962), Harry A. Haines

Montana Law Review

Teschner v. Commissioner

Editorial: The Planet’S Pandemic Pandemonium, Bharath Sriraman

The Mathematics Enthusiast

No abstract provided.

Beauty Is In The Blind Spot Of The Beholder, Ron Aharoni

The Mathematics Enthusiast

The paper addresses the time-old question of what is beauty. A rather ambitious, if not to say presumptuous, endeavour. But I do not aim high – I do not claim to get anywhere near unearthing the secret. Rather, I will use examples from mathematics, poetry, music and chess to substantiate one thesis: that the elusory character of beauty is not incidental. Its defiance of definition is part of its essence. The aesthetic sensation requires unawareness of its precise origin. Beauty is felt when some order is perceived, that is not fully comprehended. The order is too complex, or well hidden, or ...

The Works Of Omar Khayyam In The History Of Mathematics, Thomas Bisom

The Mathematics Enthusiast

The exact time when the mathematician Omar Khayyam lived is not well-defined, but it is generally agreed upon that he lived from the end of the 11th century to the beginning of the 12th century C.E. in Nishapur, which is in modern-day Iran and Afghanistan (Struik, 1958). Other than mathematics, Omar Khayyam also made considerable contributions to other fields, such as astronomy, philosophy, and poetry (Struik, 1958). He is probably most famous for his poem titled Rubaiyat of Omar Khayyam, which was translated by Edward Fitzgerald (Struik, 1958). Although famous for his poetry, he was professionally inclined to astronomy ...

When Is Freshman's Dream Actually True?, Michael P. Abramson

The Mathematics Enthusiast

We address the problem of determining what points in a field satisfy Freshman's Dream, or equivalently, when a monomial behaves additively. It is conjectured that the only additive points over the rational numbers are trivial. In the case of finite fields, we generalize well-known results about uni-variate polynomials to bivariate homogeneous polynomials in order to count the number of additive points.

Unit Shapes And A Wealth Of Calculus Problems, Robert G. Donnelly, Alexander F. Thome

The Mathematics Enthusiast

For a given family of similar shapes, what we call a \unit shape" strongly analogizes the role of the unit circle within the family of all circles. Within many such families of similar shapes, we present what we believe is naturally and intrinsically unital about their unit shapes. We present a number of calculus problems related to extremal questions about collections of unit shapes, and we recapitulate some isoperimetric problems in terms of unit shapes. We close by presenting some problems (some of which are open) and by proffering perhaps a new perspective on the pi vs. t debate.

Real Numbers As Infinite Decimals, Nicolas Fardin, Liangpan Li

The Mathematics Enthusiast

Stemming from an idea put forward by Loo-Keng Hua in 1962, this article describes an original way to perform arithmetic directly on infinite decimals. This approach leads to a new and elementary construction of the real number system via decimal representation. Based on the least upper bound property, a definition of trigonometric functions is also included, which settles an issue that Godfrey H. Hardy called \a fatal defect" in his Course of Pure Mathematics.

The Spinning Cube: An Algebraic Excursion, Lingguo Bu

The Mathematics Enthusiast

What shapes do you get when you spin a cube on one of its vertices? This article explores the algebraic aspects of a spinning cube and establishes equations for the two cones and the hyperboloid using secondary school mathematics. Both the analysis and the verification take advantage of dynamic mathematics learning technologies.

A Formal Justification Of The Ancient Chinese Method Of Computing Square Roots, Edilberto Najera, Leslie Cristina Najera-Benitez

The Mathematics Enthusiast

In this paper a formal justification of the ancient Chinese method for computing square roots is given. As a result, some already known properties of the square root which is computed with this method are deduced. If any other number base is used, the justification given shows that the method is applied in the same way and that the deduced properties are still being fulfilled, facts that highlight the importance of positional number systems. It also shows how to generalize the method to compute high orders roots. Although with this elementary method you can compute the square root of any ...

Squaring The Circle And Doubling The Cube In Space-Time, Espen Gaarder Haug

The Mathematics Enthusiast

Squaring the Circle is a famous geometry problem going all the way back to the ancient Greeks. It is the great quest of constructing a square with the same area as a circle using a compass and straightedge in a finite number of steps. Since it was proven that ⇡ was a transcendental number in 1882, the task of Squaring the Circle has been considered impossible. Here, we will show it is possible to Square the Circle in space-time. It is not possible to Square the Circle in Euclidean space alone, but it is fully possible in space-time, and after all ...

The History Of Bootstrapping: Tracing The Development Of Resampling With Replacement, Denise Lafontaine

The Mathematics Enthusiast

Sampling is one of the most fundamental concepts in statistics, as the quality and accuracy of the statistical inferences made, heavily depend on the method used to obtain the sample and the sample’s ability to represent the population of inference. Despite being a simple concept, sampling presents researchers with many challenges. Generally, due to monetary and time constraints, researchers must take a smaller sample size than they would ideally use. Using statistics from these small samples, estimates for population parameters can be made, typically in the form of a confidence interval. However, the validity of these confidence intervals depends ...

Indigenous Culture-Based School Mathematics In Action: Part I: Professional Development For Creating Teaching Materials, Sharon Meyer, Glen Aikenhead

The Mathematics Enthusiast

This first of a pair of articles describes a professional development project that prepared four non-Indigenous mathematics teachers (Grades 5-12) to implement Canada’s Truth and Reconciliation Commission’s (TRC, 2016) notion of reconciliation: cross-cultural respect through mutual understanding. The researchers collaboratively mentored the teachers to enhance their mathematics teaching with Indigenous mathematizing3. The teachers’ focus was on developing and revising lesson plans for other teachers to teach. This process explicitly and implicitly revealed precise supports that need to be in place for a teacher to succeed at innovating with this Indigenous culture-based school mathematics (ICBSM). Part I is a ...

Indigenous Culture-Based School Mathematics In Action Part Ii: The Study’S Results: What Support Do Teachers Need?, Sharon Meyer, Glen Aikenhead

The Mathematics Enthusiast

This second part of two related articles reports the answers to the research question: What precise supports must be in place for Grades 5 to 12 teachers to enhance their mathematics classes in a sustainable way with Indigenous mathematizing and Indigenous worldview perspectives? In addition to various logistical supports, two other types of supports were identified: supports for learning and unlearning ways of perceiving the world generally and perceiving Western mathematics specifically. These needed supports came to light when we mentored the teachers. On the one hand, the co-researching teachers learned, or had already learned: (a) the plurality of mathematical ...

Impediments To Mathematical Creativity: Fixation And Flexibility In Proof Validation, Per Øystein Haavold

The Mathematics Enthusiast

Mathematical techniques in proof writing can be narrowed down to specific proof styles. Simply put, proofs can be direct or indirect- the latter using the Law of the Excluded Middle from logic as well as the axiom of Choice, to prove existence of mathematical objects. However, the thinking skills involved in writing indirect proofs are prone to errors, especially from novice proof writers such as prospective teachers. Creativity in mathematics entails the use of both direct and indirect approaches to determine the validity of a statement. In this article, I shed some light on this relationship, by reporting on some ...

Archimedes’ Works In Conoids As A Basis For The Development Of Mathematics, Kenton Ke

The Mathematics Enthusiast

This paper explores Archimedes’ works in conoids, which are three dimensional versions of conic sections, and will discuss ideas that came up in Archimedes’ book On Conoids and Spheroids. In particular, paraboloids, or three dimensional parabolas, will be the primary focus, and a proof of one of the propositions is provided for a clearer understanding of how Archimedes proved many of his propositions. His main method is called method of exhaustion, with results justified by double contradiction. This paper will compare the ideas and problems brought up in On Conoids and Spheroids and how they relate to modern day calculus ...

Secondary School Mathematics Students Exploring The Connectedness Of Mathematics: The Case Of The Parabola And Its Tangent In A Dynamic Geometry Environment, Margo Kondratieva, Christer Bergsten

The Mathematics Enthusiast

Drawing on the Semiotic-cultural approach and the Anthropological theory of the didactic, this paper discusses how exploration of historically framed conceptualizations of mathematical objects can establish bridges between different mathematical areas such as calculus and Euclidean geometry. A classroom intervention study in two secondary mathematics class-rooms involving dynamic geometry software tools to support the construction of a parabola and its tangent and aiming at the development of representational flexibility between algebraic/ functional and geometrical approaches, illustrates how students may benefit from participation in such explorations.

The Academic Community’S Perceptions Of The Two-Column Proof, Jeffrey Pair, Susanne Strachota, Rashmi Singh

The Mathematics Enthusiast

Our research team surveyed members of the mathematics education scholarly community to gain insight into the community’s perceptions of the two-column proof and its role in high school geometry. We created an email survey, which we sent to email addresses gathered from public lists of conference participants and speakers from recent mathematics education conferences. We asked study participants to describe the value of the two-column proof and discuss whether they would be in favor of eliminating it from the high school geometry curriculum. There was a wide range of diversity in the responses, and we present several themes that ...

Using Records Of Practice To Bridge From Teachers’ Mathematical Problem Solving To Classroom Practice, Davida D. Fischman, Iris M. Riggs

The Mathematics Enthusiast

It is often the case that high quality mathematics education professional development involves enhancing both teachers’ content knowledge and their pedagogical skills, specifically for teaching mathematics. However, when teachers are immersed in their own learning of mathematics, they are often unaware of the facilitators’ instructional decisions and moves that influence their own learning outcomes, as well as how these might apply to their future teaching. Thus, while the teachers can appreciate their new understanding of content, they may not have added significantly to their understanding of the instructor’s pedagogical moves that facilitated their growth. As a result, teachers may ...