Please use this identifier to cite or link to this item: http://hdl.handle.net/10497/23346
Title: 
Authors: 
Subjects: 
Counting
Problems
Problem-solving
Listing approach
Visualise
Generalise
Issue Date: 
2021
Citation: 
Ng, W. K., & Leong, Y. H. (2021). A listing approach for counting problems. The Mathematician Educator, 2(1), 33-46. https://ame.org.sg/2021/07/30/tme2021-vol-2-no-1-pp-33-46
Journal: 
The Mathematician Educator
Abstract: 
It is well-known that Counting Problems are difficult for many students. Mistakes such as the wrong use of formulas or the insensitivity to over/under-counting are common. This study draws on the work of Lockwood (2013, 2014) to conceptualise the interacting components in the work of solving counting problems. In particular, we implemented a “listing approach” in the teaching of counting problems in a Polytechnic course for engineering students in Singapore. From the close interview of three students in the course that corresponded to three profile types, we evaluate the specific usefulness of the approach for each of these types of students. We also propose a provisional model that can guide the restructuring of a course on combinatorics.
URI: 
ISSN: 
0218-9100
File Permission: 
Open
File Availability: 
With file
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