| dc.contributor.editor |
Habre, Samer |
|
| dc.date.accessioned |
2015-09-14T13:22:22Z |
|
| dc.date.available |
2015-09-14T13:22:22Z |
|
| dc.date.copyright |
2013 |
|
| dc.date.issued |
2015-09-14 |
|
| dc.identifier.isbn |
9781466640504 |
en_US |
| dc.identifier.uri |
http://hdl.handle.net/10725/2143 |
|
| dc.description.abstract |
Understanding mathematical concepts is many-folded. Traditional mathematics mostly emphasizes the algebraic/analytical aspect of a problem with minimal reference to its graphical aspect and/or numerical one. In a modern learning environment, however, multiple representations of concepts are proving to be essential for the teaching of mathematics. The availability of user-friendly dynamical software programs has paved the way for a radical yet smooth way for changing the way mathematical concepts are perceived. This chapter presents some of the author’s attempts for employing innovative methods in teaching topics in calculus, in differential and difference equations. The focus is on the use of dynamical programs that boost the visual component of the topics being investigated, hence contributing to a more complete understanding of these topics. |
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 |
|
| dc.language.iso |
en |
en_US |
| dc.publisher |
Information Science Reference |
|
| dc.subject |
Mathematics -- Study and teaching -- Audio-visual aids |
en_US |
| dc.subject |
Mathematics -- Study and teaching -- Data processing |
en_US |
| dc.title |
Enhancing Mathematics Understanding 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.article.pages |
212-234 |
|
| dc.publication.place |
Hershey, Pa |
|
| dc.identifier.doi |
http://dx.doi.org/doi:10.4018/978-1-4666-4050-4.ch004 |
|
| dc.identifier.ctation |
Habre, S. (2013). Dynamical Mathematical Software: Tools for Learning and for Research. In S. Habre (Ed.), Enhancing Mathematics Understanding through Visualization: The Role of Dynamical Software (pp. 70-88). Hershey, PA: Information Science Reference. doi:10.4018/978-1-4666-4050-4.ch004 |
en_US |
| dc.book.chapter |
Dynamical Mathematical Software: Tools for Learning and for Research |
en_US |
| dc.chapter.author |
Habre, Samer |
|
| dc.author.email |
shabre@lau.edu.lb |
|
| dc.identifier.url |
http://www.igi-global.com/chapter/dynamical-mathematical-software/80258 |
|