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Full-Text Articles in Education

Lagrange’S Study Of Wilson’S Theorem, Carl Lienert Jul 2023

Lagrange’S Study Of Wilson’S Theorem, Carl Lienert

Number Theory

No abstract provided.


Lagrange’S Proof Of The Converse Of Wilson’S Theorem, Carl Lienert Jul 2023

Lagrange’S Proof Of The Converse Of Wilson’S Theorem, Carl Lienert

Number Theory

No abstract provided.


Lagrange’S Proof Of Wilson’S Theorem—And More!, Carl Lienert Jul 2023

Lagrange’S Proof Of Wilson’S Theorem—And More!, Carl Lienert

Number Theory

No abstract provided.


Lagrange’S Alternate Proof Of Wilson’S Theorem, Carl Lienert Jul 2023

Lagrange’S Alternate Proof Of Wilson’S Theorem, Carl Lienert

Number Theory

No abstract provided.


Ambientes De Inclusión Para El Desarrollo Del Pensamiento Numérico Con Población Con Síndrome De Down, Luisa Valeria Escobar Buitrago, Ingry Yuliana Torres Garzón, Juan David Firigua Bejarano Dec 2022

Ambientes De Inclusión Para El Desarrollo Del Pensamiento Numérico Con Población Con Síndrome De Down, Luisa Valeria Escobar Buitrago, Ingry Yuliana Torres Garzón, Juan David Firigua Bejarano

Educación

La importancia de tratar sobre una educación inclusiva es hacer que la humanidad obtenga la aceptación hacia la diversidad, donde se encuentre un mundo lleno de posibilidades reconociendo todos los tipos de población entre ella las personas con Síndrome de Down, lo cual consiste en que la educación esté centrado en el respeto y la valoración de la diversidad, haciendo un enfoque general en las necesidades que esta población tiene, desarrollando habilidades para su desenvolvimiento tanto personal como laboral en determinada sociedad, por lo tanto el objetivo principal de este trabajo es desarrollar el pensamiento numérico de los estudiantes de …


Plane Figurate Number Proofs Without Words Explained With Pattern Blocks, Gunhan Caglayan Jan 2022

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.


Contributions To The Teaching And Learning Of Fluid Mechanics, Ashwin Vaidya Jul 2021

Contributions To The Teaching And Learning Of Fluid Mechanics, Ashwin Vaidya

Department of Mathematics Facuty Scholarship and Creative Works

This issue showcases a compilation of papers on fluid mechanics (FM) education, covering different sub topics of the subject. The success of the first volume [1] prompted us to consider another follow-up special issue on the topic, which has also been very successful in garnering an impressive variety of submissions. As a classical branch of science, the beauty and complexity of fluid dynamics cannot be overemphasized. This is an extremely well-studied subject which has now become a significant component of several major scientific disciplines ranging from aerospace engineering, astrophysics, atmospheric science (including climate modeling), biological and biomedical science …


Arithmetics, Interrupted, Matilde Lalín Jul 2021

Arithmetics, Interrupted, Matilde Lalín

Journal of Humanistic Mathematics

I share some of my adventures in mathematical research and homeschooling in the time of COVID-19.


Computational Thinking In Mathematics And Computer Science: What Programming Does To Your Head, Al Cuoco, E. Paul Goldenberg Jan 2021

Computational Thinking In Mathematics And Computer Science: What Programming Does To Your Head, Al Cuoco, E. Paul Goldenberg

Journal of Humanistic Mathematics

How you think about a phenomenon certainly influences how you create a program to model it. The main point of this essay is that the influence goes both ways: creating programs influences how you think. The programs we are talking about are not just the ones we write for a computer. Programs can be implemented on a computer or with physical devices or in your mind. The implementation can bring your ideas to life. Often, though, the implementation and the ideas develop in tandem, each acting as a mirror on the other. We describe an example of how programming and …


Decision Making On Teachers’ Adaptation To Cybergogy In Saturated Interval- Valued Refined Neutrosophic Overset /Underset /Offset Environment, Florentin Smarandache, Nivetha Martin, Priya R. Oct 2020

Decision Making On Teachers’ Adaptation To Cybergogy In Saturated Interval- Valued Refined Neutrosophic Overset /Underset /Offset Environment, Florentin Smarandache, Nivetha Martin, Priya R.

Branch Mathematics and Statistics Faculty and Staff Publications

Neutrosophic overset, neutrosophic underset and neutrosophic offset introduced by Smarandache are the special kinds of neutrosophic sets with values beyond the range [0,1] and these sets are pragmatic in nature as it represents the real life situations. This paper introduces the concept of saturated refined neutrosophic sets and extends the same to the special kinds of neutrosophic sets. The proposed concept is applied in decision making on Teacher’s adaptation to cybergogy. The decision making environment is characterized by different types of teachers, online teaching skills and various training methods. Fuzzy relation is used to match the most suitable method to …


Cross-Cultural Comparisons: The Art Of Computing The Greatest Common Divisor, Mary K. Flagg Jul 2020

Cross-Cultural Comparisons: The Art Of Computing The Greatest Common Divisor, Mary K. Flagg

Number Theory

No abstract provided.


The Mobius Function And Mobius Inversion, Carl Lienert Jan 2020

The Mobius Function And Mobius Inversion, Carl Lienert

Number Theory

No abstract provided.


Inquiry In Inquiry: A Classification Of The Learning Theories Underlying Inquiry-Based Undergraduate Number Theory Texts, Rebecca L. Butler Jun 2019

Inquiry In Inquiry: A Classification Of The Learning Theories Underlying Inquiry-Based Undergraduate Number Theory Texts, Rebecca L. Butler

Honors Projects

While undergraduate inquiry-based texts in number theory share similar approaches with respect to learning as the embodiment of professional practice, this does not entail that these texts all operate from the same fundamental understanding of what it means to learn mathematics. In this paper, the instructional design of several texts of the aforementioned types are analyzed to assess the theory of learning under which they operate. From this understanding of the different theories of learning employed in an inquiry-based mathematical setting, one can come to understand the popular model of what it is to learn number theory in a meaningful …


Greatest Common Divisor: Algorithm And Proof, Mary K. Flagg Apr 2019

Greatest Common Divisor: Algorithm And Proof, Mary K. Flagg

Number Theory

No abstract provided.


Experience Of A Noyce-Student Learning Assistant In An Inquiry-Based Learning Class, Melissa Riley Mar 2019

Experience Of A Noyce-Student Learning Assistant In An Inquiry-Based Learning Class, Melissa Riley

UNO Student Research and Creative Activity Fair

This presentation refers to an undergraduate course called introduction to abstract mathematics at the University of Nebraska at Omaha. During the academic year 2017-2018, undergraduate, mathematics student Melissa Riley was a Noyce-student learning assistant for the Inquiry Based Learning (IBL) section of the course. She assisted the faculty-in-charge with all aspects of the course. These included: materials preparation, class organization, teamwork, class leading, presentations, and tutoring. This presentation shall address some examples of how the IBL approach can be used in this type of class including: the structure of the course, the activities and tasks performed by the students, learning …


The Origin Of The Prime Number Theorem, Dominic Klyve Oct 2018

The Origin Of The Prime Number Theorem, Dominic Klyve

Number Theory

No abstract provided.


The Pell Equation In India, Toke Knudsen, Keith Jones Oct 2017

The Pell Equation In India, Toke Knudsen, Keith Jones

Number Theory

No abstract provided.


Generating Pythagorean Triples: A Gnomonic Exploration, Janet Heine Barnett Oct 2017

Generating Pythagorean Triples: A Gnomonic Exploration, Janet Heine Barnett

Number Theory

No abstract provided.


Construction Of The Figurate Numbers, Jerry Lodder Jul 2017

Construction Of The Figurate Numbers, Jerry Lodder

Number Theory

No abstract provided.


Generating Pythagorean Triples: The Methods Of Pythagoras And Of Plato Via Gnomons, Janet Heine Barnett Jul 2017

Generating Pythagorean Triples: The Methods Of Pythagoras And Of Plato Via Gnomons, Janet Heine Barnett

Number Theory

No abstract provided.


Pascal's Triangle And Mathematical Induction, Jerry Lodder Jul 2017

Pascal's Triangle And Mathematical Induction, Jerry Lodder

Number Theory

No abstract provided.


Babylonian Numeration, Dominic Klyve Jul 2017

Babylonian Numeration, Dominic Klyve

Number Theory

No abstract provided.


Primes, Divisibility, And Factoring, Dominic Klyve Jul 2017

Primes, Divisibility, And Factoring, Dominic Klyve

Number Theory

No abstract provided.


Gaussian Integers And Dedekind's Creation Of An Ideal: A Number Theory Project, Janet Heine Barnett Jul 2017

Gaussian Integers And Dedekind's Creation Of An Ideal: A Number Theory Project, Janet Heine Barnett

Number Theory

No abstract provided.


Roman Domination In Complementary Prisms, Alawi I. Alhashim May 2017

Roman Domination In Complementary Prisms, Alawi I. Alhashim

Electronic Theses and Dissertations

The complementary prism GG of a graph G is formed from the disjoint union of G and its complement G by adding the edges of a perfect match- ing between the corresponding vertices of G and G. A Roman dominating function on a graph G = (V,E) is a labeling f : V(G) → {0,1,2} such that every vertex with label 0 is adjacent to a vertex with label 2. The Roman domination number γR(G) of G is the minimum f(V ) = Σv∈V f(v) over all such functions of G. We study the Roman domination number of complementary prisms. …