基于挑战性任务的初中数学拓展课教学研究——以“汉诺塔传说”为例

教育的本质是促进每一个学生的发展。本文在挑战性任务的相关理论支持下,分析与构建具有可操作性的初中数学拓展课差异化教学方案,并以“汉诺塔传说”为例,详细阐释方案中的核心要素、逻辑关系及具体流程,旨在满足学生的个性化需求,促进学生全身心参与数学研究,构建学生的数学思考,进而发展核心素养。

让学生享受数学的美和挑战——《三角形的高、中线与角平分线》教学设计与思考

数学教师应该利用数学自身的魅力,激发学生学习的兴趣和热情,提高学生学习的动力。《三角形的高、中线与角平分线》一课教学,可以从数学史中挖掘三角形“三线”的相关问题,供学生探索,让学生感受数学的美、接受数学的挑战。相应的教学立意是:挖掘内容元素,让学生体验数学美;创设活动情境,让学生发现、创造数学美;在数学美中孕伏适度的挑战,让学生感到数学好玩。

The Plural in the Singular, Cities and Disciplinary Batallions？ -- Interdisciplinary Approaches Facing Nowadays Environmental Challenges

Towns＇ and cities＇ stories show their multidisciplinary richness and their complexity between professional skills and ways of life and residence of inhabitants by the analysis of the towns＇ changes. Through two protocols of research, during ten years from 2003 to 2012 and so on, of metropolitan changes in Bordeaux and travels in French and European cities, Christian Sallenave shows that： When everyone can write, tell and recognize his own story of town＇s changes, the cities know the best conditions for their sustainable development; Neither particular, nor general, but both in their specific dialectic; Neither panoptical and sovereign disciplines nor judgmental dopes, but both in their coming and goings and their ＂patriotic＂ property and register. The towns＇ stories are always written and marked in the same time in plural and singular, of arts, sciences and knowledge and pragmatic ways of life and residence.