Note
Includes bibliography.
Member of
Contributors
Publisher
Florida Atlantic University
Date Issued
2007
EDTF Date Created
2007
Description
The theory of continued fractions goes possibly as far back as 300 B.C. to Euclid. Some
consider continued fractions as part of the "lost mathematics". I came across continued
fractions for the first time while taking a graduate math class and I was amazed as how
beautiful the representation of some numbers were using them and also how easy it was
to understand the theory by making pictures. As an educator, I want to share this
knowledge with my students and make it something that they could discover, manipulate,
and appreciate.
This paper is divided m three sections. The first deals with the basic theory and
definitions of continued fractions. The second shows how to use technology, especially
Dynamic Geometry Software to make the basic theory accessible to students in middle
and high school. The third section gives some reflections of my experience working with
students on continued fractions.
consider continued fractions as part of the "lost mathematics". I came across continued
fractions for the first time while taking a graduate math class and I was amazed as how
beautiful the representation of some numbers were using them and also how easy it was
to understand the theory by making pictures. As an educator, I want to share this
knowledge with my students and make it something that they could discover, manipulate,
and appreciate.
This paper is divided m three sections. The first deals with the basic theory and
definitions of continued fractions. The second shows how to use technology, especially
Dynamic Geometry Software to make the basic theory accessible to students in middle
and high school. The third section gives some reflections of my experience working with
students on continued fractions.
Language
Type
Form
Extent
171 p.
Subject (Topical)
Identifier
FA00000751
Additional Information
Includes bibliography.
Thesis (M.S.)--Florida Atlantic University, 2007.
Charles E. Schmidt College of Science
FAU Electronic Theses and Dissertations Collection
Date Backup
2007
Date Created Backup
2007
Date Text
2007
Date Created (EDTF)
2007
Date Issued (EDTF)
2007
Extension
FAU
IID
FA00000751
Organizations
Attributed name: Florida Atlantic University
Person Preferred Name
Escuder, Ana
Graduate College
Physical Description
application/pdf
171 p.
Title Plain
Geometric Representation of Continued Fractions
Use and Reproduction
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Origin Information
2007
2007
Florida Atlantic University
Boca Raton, Fla.
Physical Location
Florida Atlantic University Libraries
Place
Boca Raton, Fla.
Sub Location
Digital Library
Title
Geometric Representation of Continued Fractions
Other Title Info
Geometric Representation of Continued Fractions