Electronic Proceedings of the 12^th Asian Technology Conference in Mathematics

Abstract for 12899

Developing Mathematical Thinking and Problem Solving Skills through

Card Tricks

Authors: Poh Yew Teoh

Affiliations: Creative Wizard Pte. Ltd., Malaysian Invention and

Design Society, Malaysian Association of Professional Speakers

Keywords:

Useful mathematical knowledge only becomes really useful when they

can be recalled and used in other contexts than those in which they

have been learned. This requires the development of mathematical

thinking and problem solving skills; not just the proficiency in

handling mathematical operations. Cognitive theory suggests that

instruction that actively involves children is the best means in

helping them to construct mathematical understanding and develop

more mature thinking patterns. One of the most effective ways to

actively involve pupils in learning is through mathematical magic.

Of all branches of mathematical magic, that which is concern with

playing cards is perhaps the most prolific and exciting. Playing

cards are one of the most effective, low cost and easily accessible

manipulative materials that can do wonders in mathematics classroom.

Mathematical card tricks can serve as an effective means of

motivation at almost all levels of instruction. In this

presentation, participants will see two very creative and powerful

examples of how a single card trick can be made relevant to develop

mathematical thinking and problem solving skills from preschool to

high school level. Mathematical concepts involved in these examples

include ascending/descending orders, addition/subtraction, inductive

reasoning and arithmetic progression.

Key Words:

card tricks, recreational mathematics, mathematical thinking,

problem solving, constructivism, creativity.

Target audience:

Preschool, Primary and Secondary schools mathematics teachers as

well as teacher trainers.