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Articles 31 - 60 of 93

Full-Text Articles in Education

Gauss And Cauchy On Complex Integration, Dave Ruch Jan 2020

Gauss And Cauchy On Complex Integration, Dave Ruch

Complex Variables

No abstract provided.


Euler's Square Root Laws For Negative Numbers, Dave Ruch Jan 2020

Euler's Square Root Laws For Negative Numbers, Dave Ruch

Complex Variables

No abstract provided.


Riemann's Development Of The Cauchy-Riemann Equations, Dave Ruch Jan 2020

Riemann's Development Of The Cauchy-Riemann Equations, Dave Ruch

Complex Variables

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.


Playfair's Introduction Of Bar And Pie Charts To Represent Data, Diana White, River Bond, Joshua Eastes, Negar Janani Jan 2020

Playfair's Introduction Of Bar And Pie Charts To Represent Data, Diana White, River Bond, Joshua Eastes, Negar Janani

Statistics and Probability

No abstract provided.


Representing And Interpreting Data From Playfair, Diana White, River Bond, Joshua Eastes, Negar Janani Jan 2020

Representing And Interpreting Data From Playfair, Diana White, River Bond, Joshua Eastes, Negar Janani

Statistics and Probability

No abstract provided.


Argand's Development Of The Complex Plane, Nicholas A. Scoville, Diana White Oct 2019

Argand's Development Of The Complex Plane, Nicholas A. Scoville, Diana White

Complex Variables

No abstract provided.


Completing The Square: From The Roots Of Algebra, Danny Otero Oct 2019

Completing The Square: From The Roots Of Algebra, Danny Otero

Pre-calculus and Trigonometry

No abstract provided.


Games: Glass And Materials Science To Engage Students, M. A. Liggett, Kateryna Swan Jul 2019

Games: Glass And Materials Science To Engage Students, M. A. Liggett, Kateryna Swan

Physics and Astronomy Summer Fellows

Materials science is the study of the properties of matter and its applications in optics, chemistry, physics, and civil, electrical, chemical, and mechanical engineering. The broad field of materials science and the complex ideas that can be included in it are typically introduced into formal education at the college level, but recently there has been a push for younger students to also have exposure to materials science. In this project, we used the techniques demonstrated in First Physics to expose students, ages 9-15, to materials science. Our hypothesis was that by using these techniques, higher level concepts can be broken …


Solving Equations And Completing The Square: From The Roots Of Algebra, Danny Otero Jul 2019

Solving Equations And Completing The Square: From The Roots Of Algebra, Danny Otero

Pre-calculus and Trigonometry

No abstract provided.


Regression To The Mean, Dominic Klyve Jul 2019

Regression To The Mean, Dominic Klyve

Statistics and Probability

No abstract provided.


An Introduction To The Algebra Of Complex Numbers And The Geometry In The Complex Plane, Nicholas A. Scoville, Diana White Apr 2019

An Introduction To The Algebra Of Complex Numbers And The Geometry In The Complex Plane, Nicholas A. Scoville, Diana White

Complex Variables

No abstract provided.


Connectedness- Its Evolution And Applications, Nicholas A. Scoville Apr 2019

Connectedness- Its Evolution And Applications, Nicholas A. Scoville

Topology

No abstract provided.


How To Calculate Pi: Buffon's Needle (Non-Calculus Version), Dominic Klyve Apr 2019

How To Calculate Pi: Buffon's Needle (Non-Calculus Version), Dominic Klyve

Pre-calculus and Trigonometry

No abstract provided.


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.


The Logarithm Of -1, Dominic Klyve Oct 2018

The Logarithm Of -1, Dominic Klyve

Complex Variables

No abstract provided.


Otto Holder's Formal Christening Of The Quotient Group Concept, Janet Heine Barnett Oct 2018

Otto Holder's Formal Christening Of The Quotient Group Concept, Janet Heine Barnett

Abstract Algebra

No abstract provided.


Dual Perspectives On Desargues' Theorem, Carl Lienert Oct 2018

Dual Perspectives On Desargues' Theorem, Carl Lienert

Geometry

No abstract provided.


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.


Seeing And Understanding Data, Beverly Wood, Charlotte Bolch Oct 2018

Seeing And Understanding Data, Beverly Wood, Charlotte Bolch

Statistics and Probability

No abstract provided.


Understanding The American Subaltern: An Exploration Of Complex Literary Characters Through Socio-Cultural Lenses, Sophie Gioffre Jul 2018

Understanding The American Subaltern: An Exploration Of Complex Literary Characters Through Socio-Cultural Lenses, Sophie Gioffre

English Summer Fellows

This project involves the analysis of three novels — Stephen Crane’s Maggie: A Girl of the Streets, Ann Petry’s The Street, and Toni Morrison’s Sula — featuring main characters who are forced to navigate realistic socio-economic environments rooted in racist, sexist, and classist systems of oppression in the United States of America. Through the process of completing close-readings of the novels, conducting extensive secondary research on historical contexts, and examining other scholarly criticisms and interpretations of these novels, I develop new insights into the main characters’ plights. To transfer this conceptual understanding into a more personal and empathetic …


Yeast: The Gateway To Redefining And Improving Biology Labs, Connor Loomis Jul 2018

Yeast: The Gateway To Redefining And Improving Biology Labs, Connor Loomis

Biology Summer Fellows

Building off of collegiate research performed during the summer of 2018, this lesson plan outlines a lab for secondary students using yeast. Yeast is an affordable and convenient organism to introduce to secondary education, and students can learn a lot about biology through it. Essentially, the goal of the lab is for students to explore the effects of certain substances on the growth of yeast. While content is emphasized, this lesson plan also looks to build students’ understanding of science in general as well as proper laboratory skills and technique. In addition, it pushes students in their thinking as they …


From Sets To Metric Spaces To Topological Spaces, Nicholas A. Scoville Jul 2018

From Sets To Metric Spaces To Topological Spaces, Nicholas A. Scoville

Topology

No abstract provided.


Nearness Without Distance, Nicholas A. Scoville Jul 2018

Nearness Without Distance, Nicholas A. Scoville

Topology

No abstract provided.


Determining The Determinant, Danny Otero Jul 2018

Determining The Determinant, Danny Otero

Linear Algebra

No abstract provided.


The Roots Of Early Group Theory In The Works Of Lagrange, Janet Heine Barnett Oct 2017

The Roots Of Early Group Theory In The Works Of Lagrange, Janet Heine Barnett

Abstract Algebra

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.


Quantifying Certainty: The P-Value, Dominic Klyve Oct 2017

Quantifying Certainty: The P-Value, Dominic Klyve

Statistics and Probability

No abstract provided.


The Definite Integrals Of Cauchy And Riemann, Dave Ruch Jul 2017

The Definite Integrals Of Cauchy And Riemann, Dave Ruch

Analysis

Rigorous attempts to define the definite integral began in earnest in the early 1800's. One of the pioneers in this development was A. L. Cauchy (1789-1857). In this project, students will read from his 1823 study of the definite integral for continuous functions . Then students will read from Bernard Riemann's 1854 paper, in which he developed a more general concept of the definite integral that could be applied to functions with infinite discontinuities.