When taught the precise definition of π, students may be simply asked to memorize its approximate value without developing a rigorous understanding of the underlying reason of why it is a constant. Measuring the circumferences and diameters of various circles and calculating their ratios might just represent an attempt to verify that π has an approximate value of 3.14, and will not necessarily result in an adequate understanding about the constant nor formally proves that it is a constant. In this study, we aim to investigate prospective teachers' conceptual understanding of π, and as a constant and whether they can provide a proof of its constant property. The findings show that prospective teachers lack a holistic understanding of the constant nature of π, and reveal how they teach students about this property in an inappropriate approach through a proving activity. We conclude our findings with a suggestion on how to improve the situation. Copyright © 2014 Korean Society of Mathematical Education.
|Journal||Research in Mathematical Education Korean Society of Mathematical Education Quarterly|
|Publication status||Published - 2014|
CitationLeung, K. C. I. (2014). Prospective teachers’ understanding of the constant π and their knowledge of how to prove its constant nature through the concept of linearity. Research in Mathematical Education Korean Society of Mathematical Education Quarterly, 18(1), 1-29.
- Teachers' professional knowledge
- Proofs and proving tasks
- Mathematical constants