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Articles 1  30 of 54
FullText Articles in Education
Completing The Square: From The Beginnings Of Algebra, Danny Otero
Completing The Square: From The Beginnings Of Algebra, Danny Otero
Precalculus and Trigonometry
No abstract provided.
An Introduction To The Algebra Of Complex Numbers And The Geometry In The Complex Plane, Nicholas A. Scoville, Diana White
An Introduction To The Algebra Of Complex Numbers And The Geometry In The Complex Plane, Nicholas A. Scoville, Diana White
Complex Numbers
No abstract provided.
Greatest Common Divisor: Algorithm And Proof, Mary K. Flagg
Greatest Common Divisor: Algorithm And Proof, Mary K. Flagg
Number Theory
No abstract provided.
Connectedness Its Evolution And Applications, Nicholas A. Scoville
Connectedness Its Evolution And Applications, Nicholas A. Scoville
Topology
No abstract provided.
How To Calculate Pi: Buffon's Needle (NonCalculus Version), Dominic Klyve
How To Calculate Pi: Buffon's Needle (NonCalculus Version), Dominic Klyve
Precalculus and Trigonometry
No abstract provided.
Dual Perspectives On Desargues' Theorem, Carl Lienert
The Logarithm Of 1, Dominic Klyve
Seeing And Understanding Data, Beverly Wood, Charlotte Bolch
Seeing And Understanding Data, Beverly Wood, Charlotte Bolch
Statistics and Probability
No abstract provided.
The Origin Of The Prime Number Theorem, Dominic Klyve
The Origin Of The Prime Number Theorem, Dominic Klyve
Number Theory
No abstract provided.
Otto Holder's Formal Christening Of The Quotient Group Concept, Janet Heine Barnett
Otto Holder's Formal Christening Of The Quotient Group Concept, Janet Heine Barnett
Abstract Algebra
No abstract provided.
Understanding The American Subaltern: An Exploration Of Complex Literary Characters Through SocioCultural Lenses, Sophie Gioffre
Understanding The American Subaltern: An Exploration Of Complex Literary Characters Through SocioCultural 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 socioeconomic environments rooted in racist, sexist, and classist systems of oppression in the United States of America. Through the process of completing closereadings 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 one ...
Yeast: The Gateway To Redefining And Improving Biology Labs, Connor Loomis
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
From Sets To Metric Spaces To Topological Spaces, Nicholas A. Scoville
Topology
No abstract provided.
Determining The Determinant, Danny Otero
Nearness Without Distance, Nicholas A. Scoville
The Roots Of Early Group Theory In The Works Of Lagrange, Janet Heine Barnett
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 Knudson, Keith Jones
The Pell Equation In India, Toke Knudson, Keith Jones
Number Theory
No abstract provided.
Quantifying Certainty: The PValue, Dominic Klyve
Quantifying Certainty: The PValue, Dominic Klyve
Statistics and Probability
No abstract provided.
Generating Pythagorean Triples: A Gnomonic Exploration, Janet Heine Barnett
Generating Pythagorean Triples: A Gnomonic Exploration, Janet Heine Barnett
Number Theory
No abstract provided.
Gaussian Integers And Dedekind's Creation Of An Ideal: A Number Theory Project, Janet Heine Barnett
Gaussian Integers And Dedekind's Creation Of An Ideal: A Number Theory Project, Janet Heine Barnett
Number Theory
No abstract provided.
The Definite Integrals Of Cauchy And Riemann, Dave Ruch
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 (17891857). 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.
Pascal's Triangle And Mathematical Induction, Jerry Lodder
Pascal's Triangle And Mathematical Induction, Jerry Lodder
Number Theory
No abstract provided.
Generating Pythagorean Triples: The Methods Of Pythagoras And Of Plato Via Gnomons, Janet Heine Barnett
Generating Pythagorean Triples: The Methods Of Pythagoras And Of Plato Via Gnomons, Janet Heine Barnett
Number Theory
No abstract provided.
Primes, Divisibility, And Factoring, Dominic Klyve
Primes, Divisibility, And Factoring, Dominic Klyve
Number Theory
No abstract provided.
Babylonian Numeration, Dominic Klyve
Construction Of The Figurate Numbers, Jerry Lodder
Construction Of The Figurate Numbers, Jerry Lodder
Number Theory
No abstract provided.
The Closure Operation As The Foundation Of Topology, Nicholas A. Scoville
The Closure Operation As The Foundation Of Topology, Nicholas A. Scoville
Topology
No abstract provided.
A Compact Introduction To A Generalized Extreme Value Theorem, Nicholas A. Scoville
A Compact Introduction To A Generalized Extreme Value Theorem, Nicholas A. Scoville
Topology
In a short paper published just one year prior to his thesis, Maurice Frechet gives a simple generalization one what we might today call the Extreme value theorem. This generalization is a simple matter of coming up with ``the right" definitions in order to make this work. In this mini PSP, we work through Frechet's entire 1.5 page paper to give an extreme value theorem in more general topological spaces, ones which, to use Frechet's newly coined term, are compact.
The Derivatives Of The Sine And Cosine Functions, Dominic Klyve
The Derivatives Of The Sine And Cosine Functions, Dominic Klyve
Calculus
No abstract provided.
Solving A System Of Linear Equations Using Ancient Chinese Methods, Mary Flagg
Solving A System Of Linear Equations Using Ancient Chinese Methods, Mary Flagg
Linear Algebra
No abstract provided.