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Full-Text Articles in Education

Jay Leno And Abstract Algebra, Adam Glesser, Martin Bonsangue Jan 2016

Jay Leno And Abstract Algebra, Adam Glesser, Martin Bonsangue

Journal of Humanistic Mathematics

The Jay Leno skit Jaywalking, showing ordinary people struggling to answer basic questions, is both entertaining and applicable to teaching. This article describes how an instructor can strengthen students' conceptual understanding by creating an element of confusion, or "cognitive dissonance," in the students' minds using Jaywalking-style interactions in the classroom.


Dramathizing Functions: Building Connections Between Mathematics And Arts, Gunhan Caglayan Jan 2016

Dramathizing Functions: Building Connections Between Mathematics And Arts, Gunhan Caglayan

Journal of Humanistic Mathematics

This article focuses on connections between mathematics and performance arts (drama). More specifically we offer an exposition of a segment of college algebra mathematics (an introduction to functions), with an approach primarily emphasizing the aesthetic aspects of mathematical learning, teaching, and performing.


What Is So Negative About Negative Exponents?, Geoffrey D. Dietz Jan 2014

What Is So Negative About Negative Exponents?, Geoffrey D. Dietz

Journal of Humanistic Mathematics

While teaching college-level mathematics (from College Algebra to Calculus to Abstract Algebra), I have observed that students are often uncomfortable using negative exponents in calculations. I believe the fault partially lies in the manner in which negative exponents are taught in Algebra 1 or Algebra 2 courses, especially in rigid instructions always to write answers using only positive exponents. After reviewing a sample of algebra texts used in the United States over the last two centuries, it appears that while attitudes toward negative exponents have varied from author to author over time, the current trend is to declare explicitly that …


On Solving Equations, Negative Numbers, And Other Absurdities: Part I, Ralph A. Raimi May 1998

On Solving Equations, Negative Numbers, And Other Absurdities: Part I, Ralph A. Raimi

Humanistic Mathematics Network Journal

No abstract provided.


A Prandial Dialogue On Abstract Algebra As An Introduction To The Discipline Of Mathematics For Liberal Arts Students, Margaret Holen May 1996

A Prandial Dialogue On Abstract Algebra As An Introduction To The Discipline Of Mathematics For Liberal Arts Students, Margaret Holen

Humanistic Mathematics Network Journal

No abstract provided.


Writing Assignments In An Abstract Algebra Course, Krystina K. Leganza Feb 1995

Writing Assignments In An Abstract Algebra Course, Krystina K. Leganza

Humanistic Mathematics Network Journal

No abstract provided.