做一个“善于举例”的数学教师——来自一线教师的认识、实践与思考

一、缘起 近期再读郑毓信教授在《中学数学月刊》2010年第3、4期关于“三项基本功”的文章[1][2]并链接阅读了郑教授在《人民教育》2008年的系列文章《善于提问》、《善于举例》、《善于优化》,读后颇有感触恰逢学校备课组一月活动日,备课组成员就“善于举例”这一论题展开充分的讨论与交流下面我们从一线教师的角度谈谈“善于举例”的认识与实践.     

New tetraphenylpyridinium-baseci luminogens with aggregation-induced emission characteristics

The research on aggregation-induced emission （AIE） has drawn increasing interests in the past decade. With the efforts scientists paid, a variety of AIE systems have been developed, among which the tetraphenylethelene and silole derivatives are the most studied. Development of new AIE systems could further enrich the AIE molecules and promote the development of AIE area. In this communication, we prepared a new AIE system based on 1,2,4,6-tetraphenylpyridinium ions according to the restriction of intramolecular rotation mechanism. These molecules could be facilely synthesized via one-step and one-pot reaction. The ionic AIE-active molecules could find wide application in sensing and optoelectronic areas.     

One-pot synthesis of N-aryl propargylamine from aromatic boronic acid,aqueous ammonia,and propargyl bromide under microwave-assisted conditions

A facile,one-pot synthesis of N-aryl propargylamine from aromatic boronic acid,aqueous ammonia,and propargyl bromide has been achieved under microwave-assisted conditions.The reactions can be smoothly completed within a total 10 min through a two-step procedure,including copper-catalyzed coupling of aromatic boronic acids with aqueous ammonia and following propargylation by propargyl bromide.     

Facile,one-pot synthesis of new phenanthridine derivatives through 1,4-dipolar cycloaddition of phenantridine,activated acetylenes,and aromatic aldehydes

A facile, one-pot synthesis of new phenanthridine derivatives by a three-component reaction between phenantridine, dialkyl acetylenedicarboxylates（DAADs）, and aromatic aldehydes is described. The reaction is characterized by mild conditions, high selectivity, and tolerance to various functional groups.     

One-pot Sequential Reaction for the Synthesis of Polysubstituted 3-（3-Nitro-2-phenylchroman-4-yl）-3-arylaminoacrylates

The one-pot sequential reaction of arylamines, methyl propiolate and 2-aryl-3-nitrochromenes without any catalyst in refluxing ethanol afforded the polysubstituted 3-（3-nitro-2-phenylchroman-4-yl）-3-arylaminoacrylates in good yields and with high diastereoselectivity. Reaction mechanism was believed involving the initial formation of β-enamino ester and sequential Michael addition.     

An expedient one-pot synthesis of highly substituted imidazoles using supported ionic liquid-like phase（SILLP） as a green and effcient catalyst and evaluation of their anti-microbial activity

An effcient method for the synthesis of imidazole derivatives by a three-component condensation of benzil or 9,10-phenanthrenequinone,aldehydes and ammonium acetate using supported ionic liquidlike phase（SILLP）catalyst under ultrasonic irradiation or classical heating conditions is reported.The present methodology offers several advantages,such as excellent yields,simple procedures,short reaction times,simple work-up and mild conditions.The catalyst is easily separated from the products by fltration and also exhibits remarkable reusable activity.These highly substituted imidazoles were also evaluated for their anti-microbial activity.     

一维三原子链的格波解及其色散关系

通过求解简谐近似下一维三原子链的晶格振动方程得到其格波解和色散关系,进而研究一维三原子链的晶格振动特点,讨论一维三原子链和一维单原子链色散关系的内在联系.结果表明,一维三原子链的色散关系包含一个声学支和两个光学支,频谱范围和频率禁带与原胞内三个原子的质量都有关联,在原胞内原子质量相等的情况下一维三原子链的色散关系与一维单原子链色散关系所描述的晶格振动模式相同,进而对固体物理教学中容易误解的两个相关问题进行了说明.     

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订阅《物理》得好礼——超值回馈《岁月留痕—<物理>四十年集萃》

<正>2012年《物理》创刊40周年,为答谢广大读者长期以来的关爱和支持,《物理》编辑部特推出优惠订阅活动:向编辑部连续订阅两年(2014—2015年)《物理》杂志的订户,将免费获得《岁月留痕—物理四十年集萃》一本(该书收录了从1972年到2012年在《物理》各个栏目发表的四十篇文章,476页精美印刷,定价68元,值得收藏)。