在深度教学中进行数学深度学习

深度学习是一种基于理解的学习,是指学习者以高阶思维的发展和实际问题的解决为目标,以整合知识为内容,积极的主动的批判性的学习新的知识和思想,并将它们融入原有的认知结构中,且能将已有的知识迁移到新的情境中的一种学习.这里面有一个词"高阶思维",是高阶能理解的核心,指创新能力、问题求解能力、决策力和批判性思维能力,这种高阶能力接近于我们最近常说的核心素养.

在数学学习中培养学生“读”的习惯

读书是我们对学生学习的基本要求,数学学习中不仅要懂得思考,更要重视＂读＂的习惯的养成,学会读数学,掌握相应的能力与技巧,才能从生活中发现数学.通过阅读教材,从文字中思考数学;读课外读物,逐渐爱上数学.

Fabrication of sulfur-doped cove-edged graphene nanoribbons on Au(111)

The on-surface synthesis from predesigned organic precursors can yield graphene nanoribbons(GNRs)with atomically precise widths,edge terminations and dopants,which facilitate the tunning of their electronic structures.Here,we report the synthesis of novel sulfur-doped cove-edged GNRs(S-CGNRs)on Au(111)from a specifically designed precursor containing thiophene rings.Scanning tunneling microscopy and non-contact atomic force microscopy measurements elucidate the formation of S-CGNRs through subsequent polymerization and cyclodehydrogenation,which further result in crosslinked branched structures.Scanning tunneling spectroscopy results reveal the conduction band minimum of the S-CGNR locates at 1.2 e V.First-principles calculations show that the S-CGNR possesses an energy bandgap of 1.17 e V,which is evidently smaller than that of an undoped cove-edged GNR(1.7 e V),suggesting effective tuning of the bandgap by introducing sulfur atoms.Further increasing the coverage of precursors close to a monolayer results in the formation of linear-shaped S-CGNRs.The fabrication of S-CGNRs provides one more candidate in the GNR toolbox and promotes the future applications of heteroatom-doped graphene nanostructures.

智能教育在个性化教学中的实践

阐述智能教育平台提供的预习知识点个性化推荐机制改变了学生传统的方式,探讨因材施教理念转化为现实,智能教育中知识点的个性化教学实践。