Developing concepts and procedural knowledge on finding area of irregular shapes through inquiry and cognitive tools featuring visualization

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Computer-supported cognitive tools (CTs) incorporating visualization features were designed to support primary school learners for mathematics inquiry about finding area of irregular shapes. This study examined the use of the designed CTs in mathematics learning in Hong Kong. A Primary 5 class with 24 learners participated in the 11 35-minutes lessons. The pre-post-test results indicated that learners gained significantly in learning outcomes after using the designed CTs; and learners’ post-teaching reflection notes showed that the designed CTs could help learners to grasp concepts behind the procedure for calculating area of the selected irregular shapes. The post-teaching questionnaire results confirmed learners’ positive perceptions on the classroom use of the designed CTs for mathematics learning, especially its benefits to the development and application of relevant mathematical concepts and procedural knowledge. Three implications on the future study of the CTs are: repeating the test with more classes to validate the visualization support in mathematics inquiry; testing out knowledge transfer from finding area of triangle to area of trapezium as both areas are half of the parallelogram formed; and testing the sequence of teaching concepts and procedural knowledge of finding the area of parallelograms, triangles and then trapeziums Copyright © 2017 Global Chinese Society for Computers in Education.
Original languageEnglish
Title of host publicationProceedings of the 21st Global Chinese Conference on Computers in Education 2017
EditorsMaiga CHANG, Morris JONG, Tak-Wai CHAN, Shengquan YU, Fati WU, Baoping LI, Wenli CHEN, Ching-Kun Ting-Chia HSU, Tsung-Yen CHUANG, Chung-Yuan HSU, Ying ZHOU, May LIU, Gaowei CHEN, Chi-Cheng CHANG, Shikui TU
Place of PublicationBeijing
PublisherBeijing Normal University
Pages728-735
Publication statusPublished - Jun 2017

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visualization
mathematics
Teaching
learning
knowledge transfer
primary school
Hong Kong
classroom
questionnaire

Citation

Kong, S. C. (2017). Developing concepts and procedural knowledge on finding area of irregular shapes through inquiry and cognitive tools featuring visualization. In M. Chang, M. Jong, T.-W. Chan, S. Yu, F. Wu, B. Li, et al. (Eds.), Conference proceedings of the 21st Global Chinese Conference on Computers in Education 2017 (pp. 728-735). Beijing: Beijing Normal University.

Keywords

  • Area of irregular shapes
  • Computer-supported cognitive tool
  • Mathematics inquiry
  • Mathematics visualization
  • Primary mathematics