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ED-MEDIA 1999 Proceedings Book - Association for the ...

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Designing a Course Web-Site to Supplement <strong>the</strong> Teaching of Part-Time<br />

Engineering Ma<strong>the</strong>matics Course in Singapore Polytechnic:<br />

Introduction to Calculus (A prototype) [1]<br />

Chao Yunn Chyi<br />

Maths/Science Department<br />

Singapore Polytechnic, Singapore<br />

(Chaoyc@sp.edu.sg)<br />

1. Introduction<br />

A problem one encounters when teaching <strong>the</strong> part-time Engineering math courses in Singapore<br />

Polytechnic (SP) is <strong>the</strong> lack of resources available <strong>for</strong> <strong>the</strong> part-time (PT) students outside of classes. The typical<br />

PT student is a person who works full-time and attends classes at night part time. In this scenario, <strong>the</strong>re is<br />

typically a continuous 3-hour lecture, once per week. PT students are expected to master <strong>the</strong> material as it is<br />

being presented, complete homework based on those topics, and quite often be ready to demonstrate <strong>the</strong>ir<br />

knowledge by completing a quiz or turning in homework at <strong>the</strong> next meeting. Variability in ability among <strong>the</strong><br />

students and <strong>the</strong> short meeting time make it hard <strong>for</strong> <strong>the</strong> instructor to meet <strong>the</strong> needs of individual students and<br />

<strong>the</strong>re<strong>for</strong>e <strong>the</strong> ones who need <strong>the</strong> most help do not get adequate attention. This lack of individual attention often<br />

leads to PT students having difficulty with <strong>the</strong> homework exercises. In <strong>the</strong> case of Calculus, help from friends is<br />

rare due to <strong>the</strong> nature of <strong>the</strong> subject. And to travel to <strong>the</strong> campus to seek <strong>the</strong> instructor would make sense only if<br />

<strong>the</strong> instructor is a full-time employee, and besides, PT students may not have <strong>the</strong> time to find <strong>the</strong> instructor outside<br />

of class. These difficulties are tackled by designing a web-site to supplement <strong>the</strong> first semester Calculus course.<br />

We called it <strong>the</strong> ITC (Introduction to Calculus) web-site.<br />

2. The ITC web-site (A prototype) http://www.sp.edu.sg/department/ms/Math/ITC/index.html<br />

The site aims at helping <strong>the</strong> PT students to obtain a more thorough understanding of <strong>the</strong> topics, and<br />

allows more advanced students to go in-depth and explore, making use of <strong>the</strong> vast resources from <strong>the</strong> Internet.<br />

Students and <strong>the</strong> instructor may use <strong>the</strong> discussion corner in ITC to conduct discussion asynchronously and work<br />

collaboratively. The site discusses <strong>the</strong> topics of Calculus on a weekly basis, following <strong>the</strong> syllabus of Calculus I.<br />

In <strong>the</strong> prototype presented here, a single topic on "Newton’s Method - an application of derivatives" is selected.<br />

The ITC web-site is presently on trial to a class of PT Mechanical and Manufacturing Engineering students taking<br />

<strong>the</strong> Engineering Ma<strong>the</strong>matics 2 (EM2) module in Singapore Polytechnic.<br />

2. The Design<br />

The ITC web-site was designed to allow self-paced learning and to tap <strong>the</strong> af<strong>for</strong>dances of networks and<br />

webs, i.e. increase access to in<strong>for</strong>mation; to communication; and to collaboration (Brackett, 1998). Eight<br />

components: Lecture Notes, Guided practice, On-line quiz, Homework, Beyond <strong>the</strong> Basics, Discussion Corner,<br />

Tools and FAQ were included in <strong>the</strong> web-site to achieve <strong>the</strong> objectives.<br />

(1) Lecture Notes--This component gives a summary of <strong>the</strong> face-to-face lecture on <strong>the</strong> topic of <strong>the</strong> week. Students<br />

could check in on this page to revise <strong>the</strong>ir own notes at <strong>the</strong>ir own pace. In particular, interactive examples (Java<br />

applets) are incorporated to allow <strong>the</strong> learners to observe <strong>the</strong> graphical representations of Newton’s Method with<br />

different inputs.<br />

(2) Guided Practice--This is a place where students can go over more examples in detail. This component<br />

contains samples of questions with guided solutions in a step by step manner. The students will have <strong>the</strong> option to<br />

supply <strong>the</strong> “next step” or ask <strong>for</strong> fur<strong>the</strong>r hints or solutions.<br />

[1] This project was first developed to fulfill <strong>the</strong> course requirement of T525-Designing Educational Experiences <strong>for</strong> Networks<br />

and Webs (Prof. George Brackett) at Harvard University. It was a joint project with my friends Maria Coulson and Robin<br />

Losey. The URL of <strong>the</strong> web-site: http://www.sp.edu.sg/department/ms/Math/ITC/index.html

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