论文标题
折叠定理：围绕折纸的垂直数学项目
Fold-and-cut theorem: a vertical maths project around origami
论文作者
论文摘要
折叠定理声称有可能仅使用一个切割机的剪刀从床单上切出一组直线绘图，而不会在纸张中产生任何其他切割，并同时将所有数字分开，只是在最后一个切割之前将纸张折叠。 E.Demaine和Alii证明了这种引人入胜的魔术结果，可以广泛探索数学问题。我们在本文中介绍了有关此结果使用的几种不同方法，作为基于问题的学习，直接调查，操纵性探索和对ICT的使用，其中大多数是基于通过执行策略学习的。我们提供的大多数课程都经过了170名小学和中学的学生以及大约30名成年人的考验，他们对这一经历非常满意。
Fold-and-cut theorem claims the possibility to cut out from a sheet a set of straight-line drawing using only one cut of scissors, without producing any other cut in the sheet and separating all the figures at the same time, just by folding flat the paper before the last cut. This fascinating and magic result, proved by E.Demaine and alii, allows a wide exploration of mathematical issues. We present in this paper several different approaches about the use of this result, as problem based learning, direct investigation, manipulative exploration and use of ICT, most of them based on learning by doing strategy. Most of the lessons we present have been tested on a group fo 170 students of primary and middle school and around 30 adults, who showed to be mostly satisfied with the experience.
