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对“三根纸条(两根纸条长度之和等于第三根)能围成三角形”的案例,作者曾在2011年江苏省暑期教师培训期间,以“图形与几何教学中的直观与抽象”做了一次讲座,讲座视频被放到了“南通教育”学习吧和“江苏省教师教育”等多个网站)。最近有老师告诉我2011年《中小学数学》第6期,刊登了我县崔红梅老师的《直观操作中的数学理性》一文,文章涉及了讲座中关于操作层面的改进等内容,老师们看后很有收获,他们建议我接在崔老师《直观操作中的数学理性》一文之后来个续写,将暑期教师培训的讲座稿浓缩一下,写篇《直观操作中的数学理性》后续。
On the “three strips of paper (the sum of the length of the two strips equal to the third) can be surrounded by triangles”, the author worked in Jiangsu province in 2011 during the summer teacher training, “graphics and geometry teaching intuitive And abstract ”did a lecture, the lecture video was put “ Nantong education ”learning and “ Jiangsu province teacher education ”and other sites). Recently, a teacher told me 2011 “Primary and Middle School Mathematics” No. 6, published in the county Cui Hongmei “intuitive mathematical rationality in the operation of” article, the article involves the lecture on the improvement of the operation level and so on, the teachers look after I learned a lot from my lecture on “Mathematical Reason in Intuitive Operation” by Cui, concentrating the lecture notes on summer teacher training and writing a follow-up to “Mathematical Reason in Intuitive Operation”.