Enhancing Mathematical through Visualization

dc.contributor.editor	Habre, Samer
dc.date.accessioned	2015-09-14T09:33:58Z
dc.date.available	2015-09-14T09:33:58Z
dc.date.copyright	2013
dc.date.issued	2017-10-12
dc.identifier.isbn	9781466640504	en_US
dc.identifier.uri	http://hdl.handle.net/10725/2142
dc.description.abstract	String art dates back to the 19th century when it was initially invented to ease the delivery of some mathematical ideas. Since then, the art has evolved and so has its use in mathematics. In this chapter, the authors see how some of the phase portraits for 2 x 2 linear homogeneous iterative systems exhibit some artistic behavior that resembles this form of art. The investigation gives a sufficient condition for the solutions of such systems to form closed cycles. However, in other situations the cycles formed are infinite, producing some fascinating examples of string art.	en_US
dc.description.tableofcontents	Chapter 1 Technology and Differential Equations............................1 John Hubbard Chapter 2 Sometimes Less is More: Examples of Student-Centered Technology as Boundary Objects in Differential Equations.........................................................12 Karen Keene, Chapter 3 “Click, Drag, Think!” Posing and Exploring Conjectures with Dynamic Geometry Software.................................................................... 37 Thomas Gawlick Chapter 4 Dynamical Mathematical Software: Tools for Learning and for Research.......... 70 Samer Habre, Chapter 5 Nonlinear is Essential, Linearization is Not Enough, Visualization is Absolutely Necessary.................................................................89 Beverly West Chapter 6 Vectors and Differential Equations: A Visual Approach using Autograph......... 113 Douglas Butler Chapter 7 Interactive Applets in Calculus and Engineering Courses.................................. 127 Heidi Burgiel Chapter 8 Applets for Mathematical Learning.................................................................... 145 Robert Terrell Chapter 9 Dynamical Software and the Derivative Concept............................................... 153 Ljubica Dikovic Chapter 10 Supporting the Development of College-Level Students’ Conceptions of Statistical Inference.......................................167 Maria Meletiou-Mavrotheris, Chapter 11 Coping with Infinity: Using TI-NspireTM CAS to Bring Alive Multiple Representations in Mathematics...............................................201 Bjørn Felsager Chapter 12 String Art and Linear Iterative Systems......................................................212 Samer Habre	en_US
dc.language.iso	en	en_US
dc.publisher	Information Science Reference
dc.subject	Mathematics	en_US
dc.subject	Study and Teaching	en_US
dc.subject	Data Processing	en_US
dc.title	Enhancing Mathematical through Visualization	en_US
dc.type	Book	en_US
dc.title.subtitle	The Role of Dynamical Software	en_US
dc.author.school	SAS	en_US
dc.author.woa	N/A	en_US
dc.author.department	Mathematics	en_US
dc.description.embargo	N/A	en_US
dc.publication.place	Hershey, Pa
dc.identifier.doi	http://dx.doi.org/10.4018/978-1-4666-4050-4.ch01	en_US
dc.identifier.ctation	Habre, S. (2013). String Art and Linear Iterative Systems. In S. Habre (Ed.), Enhancing Mathematics Understanding through Visualization: The Role of Dynamical Software (pp. 212-221). Hershey, PA: Information Science Reference.	en_US
dc.book.chapter	String Art and Linear Iterative Systems	en_US
dc.chapter.author	Habre, Samer