An example on Elearning contents for engineering students to selfstudy and focus on mathematics
JinYoung Kim jinyoungk@empal.com
Computer Education
SoonGeol Kwon sgkwon@sunchon.ac.kr
Mathematics Education
Youngcook Jun ycjun@sunchon.ac.kr
Computer Education Sunchon National University South Korea
Abstract
Until recently, without proper visualization tools, mathematics
education researchers haven't focused on the development of
visualization for symbols and graphs. Using paper based materials or
physical things is not enough to provide dynamic understanding of the
mathematics theories for students. those materials are very limited to
be modeled and, specially, paper based materials are so 'static' that
it doesn't have any room for drawing the motivation out from students.
This thesis aims for engineering students to get motivation on studying
engineering mathematics and focusing on their mathematics classes by
representing visualized examples and explaining mathematical theories
using Mathematica, a CAS system which provides visual mathematical
graphs and symbols. webMathematica is an effective CAS package for
building a mathematics related website, providing dynamic calculations,
visualizing function and so forth. Also, this package is able to
publish all the presented mathematics contents from Mathematica to be
the one, a web version. In this thesis, we will use webMathematica for
engineering students to study mathematics via the contents we provide.
First, we will evaluate their motivation by, in advance, showing the
visualized result graph which shows the concept of differential and
integral calculus. Then, for letting students to form the concept given
above, we will explain the definition by providing numerical formulae
and text to help student's understanding. By providing the process of
answering with examples, students can understand the concept of
differential and integral calculus. Using the programmed package we
built, students will be able to understand the concept of differential
and integral calculus by typing only essential variables to get answers
from the web. Followed by exercise questions, students can check if
they perfectly understood. This thesis will provide contents of Newton
Method and Rieman Sum for engineering students.
