IJMEST Volume 38, Number 6, ISSN 0020-739X
This paper suggests that mathematics teacher educators should listen carefully to what their students are saying. More specifically, it demonstrates how from one pre-teacher's non-traditional geometric representation of a unit fraction, a variety of learning environments that lead to the enrichment of mathematics for teaching can be developed. The paper shows how new knowledge may be generated through an attempt to validate an intuitive idea; in other words, how the quest for rigour may serve as a catalyst for the growth of mathematical concepts in the context of K-16 mathematics. (Contains 9 figures.)
Abramovich, S. & Brouwer, P. (2007). How to Show One-Fourth? Uncovering Hidden Context through Reciprocal Learning. International Journal of Mathematical Education in Science and Technology, 38(6), 779-795. Retrieved February 16, 2019 from https://www.learntechlib.org/p/166239/.