Mathematical Database – Teaching Module

The teaching modules provided beneath are funded by the University Grants Committee (UGC) of Hong Kong and are completed under the guideline of the Mathematics Department of CUHK. They are part of the Interface Project “A Prelude to Advanced Mathematics”. The target of these modules are mainly local form 4-7 students. After choosing a module, mathematics teachers may simply download the corresponding teachers’ guide and the worksheet, which can be used to provide his/her students an extra-curricular activity with 6-8 lessons, each lasting for about one hour. These lessons are activity oriented; students will be asked to read comics, perform experiments (using a computer) and finish the worksheets provided. Everything are conceptual and the emphasis will not be put on concrete mathematical knowledge and techniques. In the meanwhile, students’ horizon will be broadened and they will have a glance at what they cannot find in HKCEE and HKAL syllabuses.

Teaching Module Language No. of lessons Description Last Update
Probability English 7 Pick a positive integer randomly, what is the probability that the integer is an integral power of 10? This module will begin with the foregoing question, steer students to clarify the notion of probability which is ostensibly familiar to them. In the last two lessons, we will go through two classical topics: random walk and card shuffling. 7/12/2003
Countability English 8 Are there more positive integers or positive even numbers? Are there more positive integers or positive real numbers? Is infinity always equal to infinity? This module guides students to explore the infinite by introducing to them the relevant notions. Some related applications of the theory of countability will also be discussed. 7/1/2004
Iterations, Fractals and Chaos English 7 Fractals and chaos are currently two fashionable terms in mathematics. What are they? What are their relations to iterations? In this module a series of mathematical experiements are designed so as to guide students to explore some interesting mathematical phenomena using the mathematics they learn in high school. It is hoped that this module will enhance students’ understanding of mathematics. 14/3/2004