@inbook {MATHEDUC.06439878,
author = {Miyazaki, Mikio and Fujita, Taro and Jones, Keith},
title = {Functions of open flow-chart proving in introductory lessons of formal proving.},
year = {2014},
booktitle = {Proceedings of the 38th conference of the International Group for the Psychology of Mathematics Education ``Mathematics education at the edge", PME 38 held jointly with the 36th conference of PME-NA, Vancouver, Canada, July 15--20, 2014, Vol. 4},
isbn = {978-0-86491-360-9},
pages = {225-232},
publisher = {[s. l.]: International Group for the Psychology of Mathematics Education},
abstract = {Summary: Amongst important and under-researched questions are how introductory lessons can be designed for teaching initial proofs to junior high school students, and how such lessons enrich students' understanding of proofs. With a view to improving the learning situation in the classroom, in this paper we report on the various functions of introductory flow-chart proofs that use `open problems' that have multiple possible solutions. Through an analysis of a teaching experiment in Grade 8, and by using a model of levels of understanding of proof structure, we identify the functions as enhancing the transition towards a relational understanding of the structure of formal proof, and encouraging forms of forward/backward thinking interactively that accompany such a relational understanding of the structure of proofs in mathematics.},
msc2010 = {E53xx},
identifier = {2015c.00514},
}