Electronic Proceedings of the 12th Asian Technology Conference in Mathematics
Abstract for 12899
Developing Mathematical Thinking and Problem Solving Skills through
Authors: Poh Yew Teoh
Affiliations: Creative Wizard Pte. Ltd., Malaysian Invention and
Design Society, Malaysian Association of Professional Speakers
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.
card tricks, recreational mathematics, mathematical thinking,
problem solving, constructivism, creativity.
Preschool, Primary and Secondary schools mathematics teachers as
well as teacher trainers.