下面是小编为大家整理的数学教师教学心得(二十篇)【通用文档】,供大家参考。
人的记忆力会随着岁月的流逝而衰退,写作可以弥补记忆的不足,将曾经的人生经历和感悟记录下来,也便于保存一份美好的回忆。写范文的时候需要注意什么呢?有哪些格式需要注意呢?下面是小编帮大家整理的优质范文,仅供参考,大家一起来看看吧。
数学教师的教学心得篇一
课改10年新理念、新思路、新方法不断冲击着站在课改浪尖上的教师们。我们曾经困惑,曾经迷茫,但通过不断学习、不断修炼,我们又以新的姿态站在教育前沿。 与20xx年版相比,2xx1版数学课程标准从基本理念、课程目标、内容标准到实施建议都更加准确、规范、明了和全面。有如下几点重要的变化:
一、新课标修改后最大的变化是:双基变四基,双能变四能。
20xx年版: “双基”:基础知识、基本技能; 2xx1年版 “四基”:基础知识、基本技能、基本思想、基本活动经验。并把“四基”与数学素养的培养进行整合:掌握数学基础知识,训练数学基本技能,领悟数学基本思想, 积累数学基本活动经验。
《课标》修订中在继承数学教育注重“双基”传统的同时,突出了培养学生创新精神和实践能力,提出了使学生理解和掌握“基本的数学思想和方法”,获得“基本的数学活动经验”。在强调发展学生分析和解决问题能力的基础之上,增加了发现和提出问题能力的课程目标。
我们能感受到现代数学教育越来越注重培养学生的数学思想方法。数学思想方法是数学
学习的灵魂,它是伴随学生知识、思维的发展逐渐被理解的,数学思想方法的感悟是在学生数学活动中积累的。教学中渗透数学思想方法可以使学生自觉地将数学知识转化为数学能力,最终通过自身的学习转化为创造能力。这对于学习数学、发展能力、开发智力、培养创新能力都是至关重要的。
我觉得,如何帮助学生在数学学习中感悟数学思想,积累数学活动经验,是需要我们数学教师潜心思考与研究的。我们要想方设法帮助学生积极参与数学学习,重视数学思想的渗透和数学活动经验积累。
二、关于数学观的变化
20xx年版《小学数学新课程标准》:数学是人们对客观世界定性把握和定量刻画、逐渐抽象概括、形成方法和理论,并进行广泛应用的过程。数学作为一种普遍适用的技术,有助于人们收集、整理、描述信息,建立数学模型,进而解决问题,直接为社会创造价值。 2xx1年版《小学数学新课程标准》: 数学是研究数量关系和空间形式的科学。数学作为对于客观现象抽象概括而逐渐形成的科学语言与工具。数学是人类文化的重要组成部分,数学素养是现代社会每一个公民应该具备的基本素养。
三、四个领域名称的变化
20xx年版:数与代数 、空间与图形、统计与概率、实践与综合应用。 2xx1年版:数与代数、图形与几何、统计与概率、综合与实践。
四、课程内容的变化
更加注意内容的系统性和逻辑性。如在数与代数领域的第一学段:增加了认识小括号,能进行简单的整数四则混合运算。综合与实践领域的要求更加明确和具有可操作性。
五、实施建议的变化
不再分学段阐述,而是分教学建议、评价建议、教材编写建议、课程资源利用和开发建议。在强调学生主体作用的同时,明确提出教师的组织和引导作用。
通过学习更加使我认识到作为一名数学教师必须不断更新自己的教学观念,改变旧的不能顺应学生发展的教学模式,不断钻研教材,学习新理念、新方法,更深入的了解自己的学生,钻研教材教法,不断提升自己的教育教学教研水平,只有这样才能适应小学数学现代教学的需要。特级教师吴正宪曾说过:数学教师要带着思想走进课堂,给孩子们留出思想的空间,孩子们的思想才更开放,孩子们的思路才更开阔。今天的课堂教学最重要是读懂学生。一个好老师要专业地读懂教材,要用心地读懂学生,要智慧地读懂课堂,这样的课堂一定会充满活力。
数学教师的教学心得篇二
�������ç²î¼ï¿½ï¿½ï¿½ð¡ñ§ï¿½ï¿½ñ§ï¿½â¿î±ï¿½ï¿½â½ì²ï¿½ï¿½ï¿½ñµï¿½á£¬ï¿½ð´ï¿½ï¿½ä¶à£»ï¿½ø±ï¿½ï¿½ï¿½ï¿½ú½ï¿½ï¿½ú¶ï¿½ï¿½â¿î±ê¼°ï¿½ì²ï¿½ï¿½ï¿½ï¿½ï¿½ä½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½êµï¿½ä¾ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ó¡ï¿½ï¿½ï¿½ï¿½ì¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½î¶¯ï¿½ð£ï¿½ï¿½òµï¿½ï¿½ï¿½ï¿½ï¿½ä¶à¡£
�����î¸ï¿½10���������ë¼â·ï¿½ï¿½ï¿½â·ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï³ï¿½ï¿½ï¿½ï¿½õ¾ï¿½ú¿î¸ï¿½ï¿½ë¼ï¿½ï¿½ïµä½ï¿½ê¦ï¿½ç¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ã£ï¿½ï¿½ï¿½ï¿½í¨ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½âµï¿½ï¿½ï¿½ì¬õ¾ï¿½ú½ï¿½ï¿½ï¿½ç°ï¿½ø¡ï¿½ ��20xx�����è£ï¿½2xx1����ñ§ï¿½î³ì±ï¿½×¼ï¿½ó»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½î¡¢ï¿½î³ï¿½ä¿ï¿½ê¡¢ï¿½ï¿½ï¿½ý±ï¿½×¼ï¿½ï¿½êµê©ï¿½ï¿½ï¿½é¶¼ï¿½ï¿½ï¿½ï¿½×¼è·ï¿½ï¿½ï¿½æ·¶ï¿½ï¿½ï¿½ï¿½ï¿½ëºï¿½è«ï¿½æ¡£ï¿½ï¿½ï¿½ï¿½ï¿½â¼ï¿½ï¿½ï¿½ï¿½ï¿½òªï¿½ä±ä»¯ï¿½ï¿½
����ò»ï¿½ï¿½ï¿½â¿î±ï¿½ï¿½þ¸äºï¿½ï¿½ï¿½ï¿½ä±ä»¯ï¿½ç£ï¿½ë«ï¿½ï¿½ï¿½ï¿½ï¿½ä»ï¿½ï¿½ï¿½ë«ï¿½ü±ï¿½ï¿½ï¿½ï¿½ü¡ï¿½
����20xx��棺 ��ë«ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½öªê¶ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ü£ï¿½ 2xx1��� ���ä»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½öªê¶ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ü¡ï¿½ï¿½ï¿½ï¿½ï¿½ë¼ï¿½ë¡¢ï¿½ï¿½ï¿½ï¿½ï¿½î¶¯ï¿½ï¿½ï¿½é¡£ï¿½ï¿½ï¿½ñ¡ï¿½ï¿½ä»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½öªê¶ï¿½ï¿½ñµï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ü£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ë¼ï¿½ë£¬ ������ñ§ï¿½ï¿½ï¿½ï¿½ï¿½î¶¯ï¿½ï¿½ï¿½é¡£
�������î±ê¡·ï¿½þ¶ï¿½ï¿½ï¿½ï¿½ú¼ì³ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½×¢ï¿½ø¡ï¿½ë«ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½í³ï¿½ï¿½í¬ê±ï¿½ï¿½í»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½â¾ï¿½ï¿½ï¿½ï¿½êµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¹ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½õ¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ë¼ï¿½ï¿½í·ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ã¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½î¶¯ï¿½ï¿½ï¿½é¡±ï¿½ï¿½ï¿½ï¿½ç¿ï¿½ï¿½ï¿½ï¿½õ¹ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½í½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ä»ï¿½ï¿½ï¿½ö®ï¿½ï£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ë·ï¿½ï¿½öºï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ä¿î³ï¿½ä¿ï¿½ê¡£
���������ü¸ï¿½ï¿½üµï¿½ï¿½ö´ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ô½ï¿½ï¿½ô½×¢ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ë¼ï¿½ë·½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ë¼ï¿½ë·½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§
����ñ§ï°ï¿½ï¿½ï¿½ï¿½ê£¬ï¿½ï¿½ï¿½ç°ï¿½ï¿½ï¿½ñ§ï¿½ï¿½öªê¶ï¿½ï¿½ë¼î¬ï¿½ä·ï¿½õ¹ï¿½ð½¥±ï¿½ï¿½ï¿½ï¿½ï¿½ä£ï¿½ï¿½ï¿½ñ§ë¼ï¿½ë·½ï¿½ï¿½ï¿½ä¸ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ñ§ï¿½î¶¯ï¿½ð»ï¿½ï¿½ûµä¡ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½í¸ï¿½ï¿½ñ§ë¼ï¿½ë·½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¹ñ§ï¿½ï¿½ï¿½ô¾ï¿½ï¿½ø½ï¿½ï¿½ï¿½ñ§öªê¶×ªï¿½ï¿½îªï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½í¨ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°×ªï¿½ï¿½îªï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½õ¹ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½òªï¿½ä¡ï¿½
�����ò¾ï¿½ï¿½ã£ï¿½ï¿½ï¿½î°ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ñ§ï°ï¿½ð¸ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ë¼ï¿½ë£¬ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½î¶¯ï¿½ï¿½ï¿½é£¬ï¿½ï¿½ï¿½ï¿½òªï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ê¦ç±ï¿½ï¿½ë¼ï¿½ï¿½ï¿½ï¿½ï¿½ð¾ï¿½ï¿½ä¡ï¿½ï¿½ï¿½ï¿½ï¿½òªï¿½ë·½ï¿½è·¨ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ñ§ï°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ë¼ï¿½ï¿½ï¿½ï¿½ï¿½í¸ï¿½ï¿½ï¿½ï¿½ñ§ï¿½î¶¯ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½û¡ï¿½
��������������ñ§ï¿½ûµä±ä»¯
����20xx��桶ð¡ñ§ï¿½ï¿½ñ§ï¿½â¿î³ì±ï¿½×¼ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ç¶ô¿í¹ï¿½ï¿½ï¿½ï¿½ç¶¨ï¿½ô°ï¿½ï¿½õºí¶ï¿½ï¿½ï¿½ï¿½ì»ï¿½ï¿½ï¿½ï¿½ð½¥³ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½î³é·ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½û£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ð¹ã·ºó¦ï¿½ãµä¹ï¿½ï¿½ì¡ï¿½ï¿½ï¿½ñ§ï¿½ï¿½îªò»ï¿½ï¿½ï¿½õ±ï¿½ï¿½ï¿½ï¿½ãµä¼ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½õ¼ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¢ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ä£ï¿½í£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½â£¬ö±ï¿½ï¿½îªï¿½ï¿½á´´ï¿½ï¿½ï¿½öµï¿½ï¿½ 2xx1��桶ð¡ñ§ï¿½ï¿½ñ§ï¿½â¿î³ì±ï¿½×¼ï¿½ï¿½ï¿½ï¿½ ��ñ§ï¿½ï¿½ï¿½ð¾ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ïµï¿½í¿õ¼ï¿½ï¿½ï¿½ê½ï¿½ä¿ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½îªï¿½ï¿½ï¿½ú¿í¹ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½î³éµä¿ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ë¹¤ï¿½ß¡ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ä»ï¿½ï¿½ï¿½ï¿½ï¿½òªï¿½ï¿½é²ï¿½ï¿½ö£ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ö´ï¿½ï¿½ï¿½ï¿½ã¿ò»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ó¦ï¿½ã¾ß±ï¿½ï¿½ä»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½
���������ä¸ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½æµä±ä»¯
����20xx��棺������� ���õ¼ï¿½ï¿½ï¿½í¼ï¿½î¡ï¿½í³ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¡ï¿½êµï¿½ï¿½ï¿½ï¿½ï¿½ûºï¿½ó¦ï¿½ã¡ï¿½ 2xx1��棺���������í¼ï¿½ï¿½ï¿½ë¼¸ï¿½î¡ï¿½í³ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¡ï¿½ï¿½ûºï¿½ï¿½ï¿½êµï¿½ï¿½ï¿½ï¿½
�����ä¡ï¿½ï¿½î³ï¿½ï¿½ï¿½ï¿½ýµä±ä»¯
��������ע�����ýµï¿½ïµí³ï¿½ôºï¿½ï¿½ß¼ï¿½ï¿½ô¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½äµï¿½ò»ñ§ï¿½î£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¶ð¡ï¿½ï¿½ï¿½å£ï¿½ï¿½ü½ï¿½ï¿½ð¼òµ¥µï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ã¡£ï¿½ûºï¿½ï¿½ï¿½êµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½òªï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½è·ï¿½í¾ï¿½ï¿½ð¿é²ï¿½ï¿½ï¿½ï¿½ô¡ï¿½
�����塢êµê©ï¿½ï¿½ï¿½ï¿½ä±ä»¯
�������ù·ï¿½ñ§ï¿½î²ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ç·ö½ï¿½ñ§ï¿½ï¿½ï¿½é¡¢ï¿½ï¿½ï¿½û½ï¿½ï¿½é¡¢ï¿½ì²ä±ï¿½ð´ï¿½ï¿½ï¿½é¡¢ï¿½î³ï¿½ï¿½ï¿½ô´ï¿½ï¿½ï¿½ãºí¿ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½é¡£ï¿½ï¿½ç¿ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ãµï¿½í¬ê±ï¿½ï¿½ï¿½ï¿½è·ï¿½ï¿½ï¿½ï¿½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½ö¯ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ã¡ï¿½
����í¨ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½ê¹ï¿½ï¿½ï¿½ï¿½ê¶ï¿½ï¿½ï¿½ï¿½îªò»ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ê¦ï¿½ï¿½ï¿½ë²»ï¿½ï¸ï¿½ï¿½ï¿½ï¿½ô¼ï¿½ï¿½ä½ï¿½ñ§ï¿½ï¿½ï¿½î£¬ï¿½ä±ï¿½éµä²ï¿½ï¿½ï¿½ë³ó¦ñ§ï¿½ï¿½ï¿½ï¿½õ¹ï¿½ä½ï¿½ñ§ä£ê½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ð½ì²ä£ï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½ï¿½î¡¢ï¿½â·ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ë½ï¿½ï¿½ô¼ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ð½ì²ä½ì·ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ô¼ï¿½ï¿½ä½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ë®æ½ï¿½ï¿½ö»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ó¦ð¡ñ§ï¿½ï¿½ñ§ï¿½ö´ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½òªï¿½ï¿½ï¿½ø¼ï¿½ï¿½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ëµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ê¦òªï¿½ï¿½ï¿½ï¿½ë¼ï¿½ï¿½ï¿½ß½ï¿½ï¿½ï¿½ï¿½ã£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ë¼ï¿½ï¿½ä¿õ¼ä£¬ï¿½ï¿½ï¿½ï¿½ï¿½çµï¿½ë¼ï¿½ï¿½å¸ï¿½ï¿½ï¿½ï¿½å£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½çµï¿½ë¼â·ï¿½å¸ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ä¿ï¿½ï¿½ã½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½òªï¿½ç¶ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ò»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¦òª×¨òµï¿½ø¶ï¿½ï¿½ï¿½ï¿½ì²ä£ï¿½òªï¿½ï¿½ï¿½äµø¶ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½òªï¿½ç»ûµø¶ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ã£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ä¿ï¿½ï¿½ï¿½ò»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½
数学教师的教学心得篇三
长期以来,我们作为教师都在为一个个的教育问题犯难,总是在寻找新的方法,吸收新的理念,而今天,在网上学习了之后,我受益匪浅,接下来我将谈谈这次学习的心得体会。
这种教学设计有利于激发学生学习兴趣,使学生对新的知识产生强烈的学习欲望,充分发挥学生的能动性的作用,从而挖掘学生的思维能力,培养学生探究问题的习惯和探索问题的能力。
1、在教学中既要根据自己的实际,又要联系学生实际,进行合理的教学设计。注重开发学生的思维能力又把数学与生活实际联在一起,使学生感受到生活中处处有数学。使教学设计具有形象性,给学生极大的吸引,抓住了学生认识的特点,形成开放式的教学模式,达到预先教学的效果。
2、给学生充分的思维空间,做到传授知识与培养能力相结合,重视学生非智力因素的培养;合理创设教学情境激发学生的学习动机,注重激发学生学习的积极性推动学生活动意识。
3、利用合理地提问与讨论发挥课堂的群体作用锻炼学生语言表达能力。达成独立、主动地学习、积极配合教师共同达成目标。
要想学生40分钟内都会专心听你的课那是不可能的,他们或多或少会开小差,他们有的可能连书本都不拿出来或不翻开,甚至还会说话打闹。这时如果采用提问的方式的话,就会使学生的精神一下子紧张起来,并且去思考你所提出的问题,但是提问时,不能只提问一些选择性的问题,因为这样他们思考的空间就会很小,这样不利于培养学生的思维能力;另外,提问要有均匀性,不能反复提问某个学生,这样会使其他学生回答问题的热情消退的。
1、充分挖掘教材,利用学生已有的知识经验作为铺垫。
2、重视传授知识与培养能力相结合,充分发挥和利用学生的智慧能力,积极调动学生主动、积极地探究问题,培养学生自主学习的习惯。
3、在教学中提出质疑,让学生通过检验,发展和培养学生思维能力,使学生积极主动寻找问题,主动获取新的知识。
数学教师的教学心得篇四
��������������������îªï¿½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½îªò»ï¿½ï¿½ï¿½ï¿½ï¿½ä½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½â·¸ï¿½ñ£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ°ï¿½ï¿½ï¿½âµä·ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½âµï¿½ï¿½ï¿½ï¿½î£¬ï¿½ï¿½ï¿½ï¿½ï¿½ì£¬ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ö®ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ç³ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ò½ï¿½ì¸ì¸ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½äµï¿½ï¿½ï¿½á¡£
����
�������ö½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ú¼ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ñ§ï°ï¿½ï¿½è¤ï¿½ï¿½ê¹ñ§ï¿½ï¿½ï¿½ï¿½ï¿½âµï¿½öªê¶ï¿½ï¿½ï¿½ï¿½ç¿ï¿½òµï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ö·ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ü¶ï¿½ï¿½ôµï¿½ï¿½ï¿½ï¿½ã£ï¿½ï¿½ó¶ï¿½ï¿½ú¾ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ë¼î¬ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ì½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï°ï¿½ßºï¿½ì½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½
����1���ú½ï¿½ñ§ï¿½ð¼ï¿½òªï¿½ï¿½ï¿½ï¿½ï¿½ô¼ï¿½ï¿½ï¿½êµï¿½ê£ï¿½ï¿½ï¿½òªï¿½ï¿½ïµñ§ï¿½ï¿½êµï¿½ê£ï¿½ï¿½ï¿½ï¿½ðºï¿½ï¿½ï¿½ï¿½ä½ï¿½ñ§ï¿½ï¿½æ¡ï¿½×¢ï¿½ø¿ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ë¼î¬ï¿½ï¿½ï¿½ï¿½ï¿½ö°ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½êµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ò»ï¿½ï¿½ê¹ñ§ï¿½ï¿½ï¿½ï¿½ï¿½üµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ð´ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ê¹ï¿½ï¿½ñ§ï¿½ï¿½æ¾ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ô£ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½×¥×¡ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ê¶ï¿½ï¿½ï¿½øµã£¬ï¿½î³é¿ï¿½ï¿½ï¿½ê½ï¿½ä½ï¿½ñ§ä£ê½ï¿½ï¿½ï¿½ïµ½ô¤ï¿½è½ï¿½ñ§ï¿½ï¿½ð§ï¿½ï¿½ï¿½ï¿½
����2����ñ§ï¿½ï¿½ï¿½ï¿½öµï¿½ë¼î¬ï¿½õ¼ä£¬ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½öªê¶ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï£ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½øµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½é¾³ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½×¢ï¿½ø¼ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ñ§ï°ï¿½ä»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½æ¶ï¿½ñ§ï¿½ï¿½ï¿½î¶¯ï¿½ï¿½ê¶ï¿½ï¿½
����3�����ãºï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½û·ï¿½ï¿½ó¿ï¿½ï¿½ãµï¿½èºï¿½ï¿½ï¿½ï¿½ï¿½ã¶ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ô±ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½é¶ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï½ï¿½ê¦ï¿½ï¿½í¬ï¿½ï¿½ï¿½ä¿ï¿½ê¡£
����
����òªï¿½ï¿½ñ§ï¿½ï¿½40�����ú¶ï¿½ï¿½ï¿½×¨ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ä¿ï¿½ï¿½ï¿½ï¿½ç²ï¿½ï¿½ï¿½ï¿½üµä£ï¿½ï¿½ï¿½ï¿½ç»ï¿½ï¿½ï¿½ï¿½ù»á¿ªð¡ï¿½î£¬ï¿½ï¿½ï¿½ï¿½ï¿½ðµä¿ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½é±¾ï¿½ï¿½ï¿½ï¿½ï¿½ã³ï¿½ï¿½ï¿½ï¿½ò²»·ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ëµï¿½ï¿½ï¿½ï¿½ï¿½ö¡ï¿½ï¿½ï¿½ê±ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½êµä·ï¿½ê½ï¿½ä»ï¿½ï¿½ï¿½ï¿½í»ï¿½ê¹ñ§ï¿½ï¿½ï¿½ä¾ï¿½ï¿½ï¿½ò»ï¿½ï¿½ï¿½ó½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½è¥ë¼ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½â£¬ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê±ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ö»ï¿½ï¿½ï¿½ï¿½ò»ð©ñ¡ï¿½ï¿½ï¿½ôµï¿½ï¿½ï¿½ï¿½â£¬ï¿½ï¿½îªï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ë¼ï¿½ï¿½ï¿½ä¿õ¼ï¿½í»ï¿½ï¿½ð¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ë¼î¬ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½â£¬ï¿½ï¿½ï¿½ï¿½òªï¿½ð¾ï¿½ï¿½ï¿½ï¿½ô£ï¿½ï¿½ï¿½ï¿½ü·ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ä³ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¹ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ø´ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ëµä¡ï¿½
����
����1������ú¾ï¿½ì²ä£ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ðµï¿½öªê¶ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½îªï¿½ìµæ¡£
����2�����ó´ï¿½ï¿½ï¿½öªê¶ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï£ï¿½ï¿½ï¿½ö·ï¿½ï¿½óºï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ç»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ì½ï¿½ï¿½ï¿½ï¿½ï¿½â£¬ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ï°ï¿½ß¡ï¿½
����3���ú½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½é£ï¿½ï¿½ï¿½ñ§ï¿½ï¿½í¨ï¿½ï¿½ï¿½ï¿½ï¿½é£¬ï¿½ï¿½õ¹ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ë¼î¬ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¹ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ°ï¿½ï¿½ï¿½ï¿½ï¿½â£¬ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½è¡ï¿½âµï¿½öªê¶ï¿½ï¿½
数学教师的教学心得篇五
我在暑期参加了初中数学教师网络学习活动,按照上级和学校的统一要求:先进行了两天的集中学习,有进行了为期一个多月的自学,期间,先后做了一万多字的笔记,听取了几十节的展示课,每一节课上,我都被教师所营造的流畅、和谐的课堂所感动,也从中学到了很多,下面,我就谈几点体会:
体会之一:关于课堂教学设计。教学设计是老师为达到预期教学目的,按照教学规律,对教学活动进行系统规划的过程。从每位教师的课堂教学中,我们能感受到教师的准备是相当充分的:不仅“备”教材,还“备”学生,从基础知识目标、思想教育目标到能力目标,都体现了依托教材以人为本的学生发展观。对基本概念和基本技能的处理也都进行了精心的设计。
体会之二:关于数学教学生活化的问题。数学课教学必须紧贴学生的生活实际,让学生明确数学来源于生活,又高于生活,最终为生活服务。因此,在教学中无论是对新知识的引入或巩固都要注意紧贴学生的生活实际,让学生体会到,学习数学可以解决生活中的实际问题,以此来调动学生学习数学的兴趣。在本次活动中,颐和中学的刘杰老师的教学设计颇具特色,设计出各种生活实际的问题,使学生真正感受到数学就在他们的生活中,现实生活中处处都有数学。
体会之三:关于李瘐南老师的课令许多数学教师经常发出的感叹。这节课既有“新鲜感”,又有“成功感”。最重要的是,引入问题都是我们身边的一些实例,却给了我一种全新的体验。这是公认的一堂精彩的课。
体会之四:关于学生自主性、开放性、生成性的问题。教学中,要求教师必须为学生创设一种自主探究的学习氛围,让学生在已有的生活经验、学习经验、数学知识经验的基础上,在探究中发现问题、提出问题并解决问题。例如,李庾南老师的自主性、开放性、生成性给我留下了深刻的印象。
体会之五:关于合作学习的问题。合作学习为探求新知提供了一条捷径,让学生经历了知识的再造过程,从而获得了成功感,获得了学习数学的乐趣。那么,在教学中究竟如何去正确实施合作学习呢?我认为应把握好以下几点:在必要时采取,例如学生可以马上回答的问题无需进行讨论,而且必须要在学生独立思考之后,免得因匆忙而只能表达一些不成熟的见解;分工要明确,以个人优势的发挥来促成整体的完美;给予充足的时间和空间,让学生充分发挥个性观点;教师的及时引导。
这些课的共同特色——从教材出发、进行再加工,并且较好地体现了教材特色,从情境出发——提出问题——利用已有知识经验解决问题——得到新知识,充分体现了数学化过程、建立数学模型过程。
总之,通过这次学习使我有了更强的危机感和紧迫感。身为教师,若教学观念不更新,文化素质和技能不提高,面临的也将是被无情地淘汰。但我想,只要发现自己的不足之处,并抓住这样难得的机会,不断地学习新知,不满足于墨守成规,提高自身的素质,优化课堂教学,相信成功是属于我们的,我们的前景是灿烂无比的。
数学教师的教学心得篇六
�����������ú²î¼ï¿½ï¿½ë³ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½î¶¯ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¼ï¿½ï¿½ï¿½ñ§ð£ï¿½ï¿½í³ò»òªï¿½ï¿½ï¿½è½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ä¼ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ð½ï¿½ï¿½ï¿½ï¿½ï¿½îªï¿½ï¿½ò»ï¿½ï¿½ï¿½ï¿½ï¿½âµï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ú¼ä£¬ï¿½èºï¿½ï¿½ï¿½ï¿½ï¿½ò»ï¿½ï¿½ï¿½ï¿½öµä±ê¼ç£ï¿½ï¿½ï¿½è¡ï¿½ë¼ï¿½ê®ï¿½úµï¿½õ¹ê¾ï¿½î£ï¿½ã¿ò»ï¿½ú¿ï¿½ï¿½ï£ï¿½ï¿½ò¶ï¿½ï¿½ï¿½ï¿½ï¿½ê¦ï¿½ï¿½óªï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ð³ï¿½ä¿ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ð¶ï¿½ï¿½ï¿½ò²ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ëºü¶à£¬ï¿½ï¿½ï¿½æ£¬ï¿½ò¾ï¿½ì¸ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½á£º
�������ö®ò»ï¿½ï¿½ï¿½ï¿½ï¿½ú¿ï¿½ï¿½ã½ï¿½ñ§ï¿½ï¿½æ¡ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¦îªï¿½ïµ½ô¤ï¿½ú½ï¿½ñ§ä¿ï¿½ä£ï¿½ï¿½ï¿½ï¿½õ½ï¿½ñ§ï¿½ï¿½ï¿½é£ï¿½ï¿½ô½ï¿½ñ§ï¿½î¶¯ï¿½ï¿½ï¿½ï¿½ïµí³ï¿½æ»®ï¿½ä¹ï¿½ï¿½ì¡ï¿½ï¿½ï¿½ã¿î»ï¿½ï¿½ê¦ï¿½ä¿ï¿½ï¿½ã½ï¿½ñ§ï¿½ð£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ü¸ï¿½ï¿½üµï¿½ï¿½ï¿½ê¦ï¿½ï¿½×¼ï¿½ï¿½ï¿½ï¿½ï¿½àµ±ï¿½ï¿½öµä£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ì²ä£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ó»ï¿½ï¿½ï¿½öªê¶ä¿ï¿½ê¡¢ë¼ï¿½ï¿½ï¿½ï¿½ï¿½ä¿ï¿½êµ½ï¿½ï¿½ï¿½ï¿½ä¿ï¿½ê£¬ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ð½ì²ï¿½ï¿½ï¿½ï¿½ï¿½îªï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½õ¹ï¿½û¡ï¿½ï¿½ô»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½í»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½üµä´ï¿½ï¿½ï¿½ò²ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ë¾ï¿½ï¿½äµï¿½ï¿½ï¿½æ¡ï¿½
�������ö®ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ñ§ï¿½ï¿½ï¿½î»¯ï¿½ï¿½ï¿½ï¿½ï¿½â¡£ï¿½ï¿½ñ§ï¿½î½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½êµï¿½ê£ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½è·ï¿½ï¿½ñ§ï¿½ï¿½ô´ï¿½ï¿½ï¿½ï¿½ï¿½î£¬ï¿½ö¸ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½î£¬ï¿½ï¿½ï¿½ï¿½îªï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ë£ï¿½ï¿½ú½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ç¶ï¿½ï¿½ï¿½öªê¶ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ò¹®¹ì¶ï¿½òª×¢ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½êµï¿½ê£ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½áµ½ï¿½ï¿½ñ§ï°ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ô½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ðµï¿½êµï¿½ï¿½ï¿½ï¿½ï¿½â£¬ï¿½ô´ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ñ§ï°ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½è¤ï¿½ï¿½ï¿½ú±ï¿½ï¿½î»î¶¯ï¿½ð£ï¿½ï¿½ãºï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¦ï¿½ä½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ä¾ï¿½ï¿½ï¿½é«ï¿½ï¿½ï¿½ï¿½æ³ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½êµï¿½êµï¿½ï¿½ï¿½ï¿½â£¬ê¹ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½üµï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½çµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ð£ï¿½ï¿½ï¿½êµï¿½ï¿½ï¿½ï¿½ï¿½ð´ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½
�������ö®ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¦ï¿½ä¿ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ä¸ï¿½ì¾ï¿½ï¿½ï¿½ï¿½ú¿î¼ï¿½ï¿½ð¡ï¿½ï¿½ï¿½ï¿½ê¸ð¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ð¡ï¿½ï¿½é¹ï¿½ï¿½ð¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½òªï¿½ï¿½ï¿½ç£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½â¶¼ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ßµï¿½ò»ð©êµï¿½ï¿½ï¿½ï¿½è´ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ò»ï¿½ï¿½è«ï¿½âµï¿½ï¿½ï¿½ï¿½é¡£ï¿½ï¿½ï¿½ç¹ï¿½ï¿½ïµï¿½ò»ï¿½ã¾ï¿½ï¿½êµä¿î¡ï¿½
�������ö®ï¿½ä£ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ô¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ô¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ôµï¿½ï¿½ï¿½ï¿½â¡£ï¿½ï¿½ñ§ï¿½ð£ï¿½òªï¿½ï¿½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½îªñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ò»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ì½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½î§ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ðµï¿½ï¿½ï¿½ï¿½î¾ï¿½é¡¢ñ§ï°ï¿½ï¿½ï¿½é¡¢ï¿½ï¿½ñ§öªê¶ï¿½ï¿½ï¿½ï¿½ä»ï¿½ï¿½ï¿½ï¿½ï£ï¿½ï¿½ï¿½ì½ï¿½ï¿½ï¿½ð·ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½â¡¢ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½â²¢ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½â¡£ï¿½ï¿½ï¿½ç£¬ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ô¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ô¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ô¸ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ìµï¿½ó¡ï¿½ï¿½
�������ö®ï¿½å£ºï¿½ï¿½ï¿½úºï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½ï¿½â¡£ï¿½ï¿½ï¿½ï¿½ñ§ï°îªì½ï¿½ï¿½ï¿½ï¿½öªï¿½á¹©ï¿½ï¿½ò»ï¿½ï¿½ï¿½ý¾ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½öªê¶ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ì£ï¿½ï¿½ó¶ï¿½ï¿½ï¿½ï¿½ï¿½ë³é¹ï¿½ï¿½ð£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½è¤ï¿½ï¿½ï¿½ï¿½ã´ï¿½ï¿½ï¿½ú½ï¿½ñ§ï¿½ð¾ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½è¥ï¿½ï¿½è·êµê©ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½?����îªó¦ï¿½ï¿½ï¿½õºï¿½ï¿½ï¿½ï¿½â¼ï¿½ï¿½ã£ºï¿½ú±ï¿½òªê±ï¿½ï¿½è¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï»ø´ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½û£ï¿½ï¿½ï¿½ï¿½ò±ï¿½ï¿½ï¿½òªï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ë¼ï¿½ï¿½ö®ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ã¦ï¿½ï¿½ö»ï¿½ü±ï¿½ï¿½ï¿½ò»ð©ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ä¼ï¿½ï¿½ï¿½;�ö¹ï¿½òªï¿½ï¿½è·ï¿½ï¿½ï¿½ô¸ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½æµä·ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ù³ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½;��������ê±ï¿½ï¿½í¿õ¼ä£¬ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ö·ï¿½ï¿½ó¸ï¿½ï¿½ô¹ûµï¿½;��ê¦ï¿½ä¼ï¿½ê±ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½
������ð©ï¿½îµä¹ï¿½í¬ï¿½ï¿½é«ï¿½ï¿½ï¿½ï¿½ï¿½ó½ì²ä³ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ù¼ó¹ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ò½ïºãµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ë½ì²ï¿½ï¿½ï¿½é«,���龳��������������⡪����������öªê¶ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½â¡ªï¿½ï¿½ï¿½ãµï¿½ï¿½ï¿½öªê¶ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ì¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ä£ï¿½í¹ï¿½ï¿½ì¡ï¿½
������ö®ï¿½ï¿½í¨ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ê¹ï¿½ï¿½ï¿½ï¿½ï¿½ë¸ï¿½ç¿ï¿½ï¿½î£ï¿½ï¿½ï¿½ðºí½ï¿½ï¿½è¸ð¡ï¿½ï¿½ï¿½îªï¿½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½î²»ï¿½ï¿½ï¿½â£ï¿½ï¿½ä»ï¿½ï¿½ï¿½ï¿½êºí¼ï¿½ï¿½ü²ï¿½ï¿½ï¿½ß£ï¿½ï¿½ï¿½ï¿½ùµï¿½ò²ï¿½ï¿½ï¿½ç±ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ì�������룬ö»òªï¿½ï¿½ï¿½ï¿½ï¿½ô¼ï¿½ï¿½ä²ï¿½ï¿½ï¿½ö®ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½×¥×¡ï¿½ï¿½ï¿½ï¿½ï¿½ñµãµä»ï¿½ï¿½á£¬ï¿½ï¿½ï¿½ïµï¿½ñ§ï°ï¿½ï¿½öªï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ä«ï¿½ø³é¹æ£¬ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê£ï¿½ï¿½å»ï¿½ï¿½ï¿½ï¿½ã½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½å³é¹ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½çµä£ï¿½ï¿½ï¿½ï¿½çµï¿½ç°ï¿½ï¿½ï¿½ç²ï¿½ï¿½ï¿½ï¿½þ±èµä¡ï¿½
数学教师的教学心得篇七
20xx年11月28日至11月30日,我有幸参加了山东省小学数学教师专业成长研讨会。作为一名初出茅庐的青年教师,这次的学习机会对我来说非常难得,我很珍惜这次学习的机会。这次学习的内容是听取各市优秀教师的优质课及他们的专业成长故事,短短三天,让我收获颇丰,受益匪浅,也让我在学习之余有了更多的反思。下面是我在学习中的一些收获和体会:
十八节课,课课精彩,而让我感受最深的是,这些优秀的教师在课堂中对学生的信任,完全相信学生有探索、学习的能力。课堂中教师充分放手,让学生自由发挥,而教师仅起引导作用。学生在课堂中表现出来的自信和探索能力让我赞叹不已。
通过学习,我知道了如何设计一堂精彩的数学课,让学生觉得数学很有趣。给我印象最深刻的一节是由郑生志老师执教的《用分数大小表示可能性》。郑老师这节课充分抓住了学生的年龄特点,用一句“我有超能力”,深深地吸引着学生,激发学生的学习兴趣,然后以游戏贯穿整堂课,师生互动,生生互动的方式,让学生充分掌握本节课的知识,最后的练习更是让我眼前一亮,采用的是商场抽奖和砸金蛋的游戏,请学生说一说可能性是多少,课堂气氛异常活跃。
数学课堂教学是在教师的.引领下,学生积极主动的完成教学任务,所谓的高效课堂,以我的理解就是学生基本能掌握当堂所学知识,完成教学目标。这十八节课,让我学习到了教师要学习、要思考、要创新。课堂上要给学生创造一个良好的学习氛围,会引导,让他们主动发现问题、解决问题。
听了这些老师的专业成长故事,我深深地佩服。他们身上散发出的光芒,并不是一朝一夕形成的,所谓“台上一分钟,台下十年功”。一名优秀的教师,正是从不断学习和思考中磨练出的。让我印象很深的是吕健老师。她在学习上的坚持刻苦精神让我折服。坚持读书,坚持写随笔,短短几年,积累了大量的读书日记,除此之外,还把自己所学知识运用到平时的教学实践之中,并努力探索新的教育教学方法。我发现,想成为一名优秀的教师,除了努力提高业务水平以外,还需要积累大量的知识,增加内涵。
最后,我还学习到了一些老师在教学中的宝贵经验,如:郑生志老师提到的心愿卡、整合练习本和课堂本、滕云老师的创编课外读物、成玉丽老师的数学故事、数学论文等等,都给了我很大的启发。在今后的工作中,我一定不断学习,聆听专家讲座,向优秀教师学习好的方法,提高自己的教学能力,让我的学生爱上我的数学课!
数学教师的教学心得篇八
����20xx��11��28����11��30�õ£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ò²î¼ï¿½ï¿½ï¿½é½ï¿½ï¿½ê¡ð¡ñ§ï¿½ï¿½ñ§ï¿½ï¿½ê¦×¨òµï¿½é³ï¿½ï¿½ï¿½ï¿½ö»á¡£ï¿½ï¿½îªò»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ã©â®ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½îµï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ëµï¿½ç³ï¿½ï¿½ñµã£ï¿½ï¿½òºï¿½ï¿½ï¿½ï§ï¿½ï¿½ï¿½ñ§ï°ï¿½ä»ï¿½ï¿½á¡£ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½è¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½ï¿½ê¿î¼ï¿½ï¿½ï¿½ï¿½çµï¿½×¨òµï¿½é³ï¿½ï¿½ï¿½ï¿½â£ï¿½ï¿½ì¶ï¿½ï¿½ï¿½ï¿½ì£¬ï¿½ï¿½ï¿½ï¿½ï¿½õ»ï¿½ï¿½ä·á£¬ï¿½ï¿½ï¿½ï¿½ï¿½ç³ï¿½ï¿½ò²ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ö®ï¿½ï¿½ï¿½ï¿½ï¿½ë¸ï¿½ï¿½ï¿½ä·ï¿½ë¼ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ðµï¿½ò»ð©ï¿½õ»ï¿½ï¿½ï¿½ï¿½á£º
����
����ê®ï¿½ë½ú¿î£ï¿½ï¿½î¿î¾ï¿½ï¿½ê£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ò¸ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ç£ï¿½ï¿½ï¿½ð©ï¿½ï¿½ï¿½ï¿½ä½ï¿½ê¦ï¿½ú¿ï¿½ï¿½ï¿½ï¿½ð¶ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½î£ï¿½ï¿½ï¿½è«ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ì½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ð½ï¿½ê¦ï¿½ï¿½ö·ï¿½ï¿½ö£ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½é·ï¿½ï¿½ó£ï¿½ï¿½ï¿½ï¿½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ã¡ï¿½ñ§ï¿½ï¿½ï¿½ú¿ï¿½ï¿½ï¿½ï¿½ð±ï¿½ï¿½ö³ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½åºï¿½ì½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ì¾ï¿½ï¿½ï¿½ñ¡ï¿½
����
����í¨ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½öªï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ò»ï¿½ã¾ï¿½ï¿½êµï¿½ï¿½ï¿½ñ§ï¿½î£ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½è¤ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ó¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ìµï¿½ò»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ö£ï¿½ï¿½ö¾ï¿½ï¿½ê¦ö´ï¿½ìµä¡ï¿½ï¿½ã·ï¿½ï¿½ï¿½ï¿½ï¿½ð¡ï¿½ï¿½ê¾ï¿½ï¿½ï¿½ï¿½ï¿½ô¡ï¿½ï¿½ï¿½ö£ï¿½ï¿½ê¦ï¿½ï¿½ú¿î³ï¿½ï¿½×¥×¡ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½øµã£¬ï¿½ï¿½ò»ï¿½ä¡°ï¿½ï¿½ï¿½ð³ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½è¤ï¿½ï¿½è»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï·ï¿½á´©ï¿½ï¿½ï¿½ã¿î£ï¿½ê¦ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ä·ï¿½ê½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½õ±ï¿½ï¿½ú¿îµï¿½öªê¶ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ç°ò»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ãµï¿½ï¿½ï¿½ï¿½ì³ï¿½ï¿½é½±ï¿½ï¿½ï¿½ò½ðµ°µï¿½ï¿½ï¿½ï·ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ëµò»ëµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ç¶ï¿½ï¿½ù£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ì³£ï¿½ï¿½ô¾ï¿½ï¿½
����
������ñ§ï¿½ï¿½ï¿½ã½ï¿½ñ§ï¿½ï¿½ï¿½ú½ï¿½ê¦ï¿½ï¿½.�����â£ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½é½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½î½ï¿½ä¸ï¿½ð§ï¿½ï¿½ï¿½ã£ï¿½ï¿½ï¿½ï¿½òµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½õµï¿½ï¿½ï¿½ï¿½ï¿½ñ§öªê¶ï¿½ï¿½ï¿½ï¿½é½ï¿½ñ§ä¿ï¿½ê¡£ï¿½ï¿½ê®ï¿½ë½ú¿î£ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ë½ï¿½ê¦òªñ§ï°ï¿½ï¿½òªë¼ï¿½ï¿½ï¿½ï¿½òªï¿½ï¿½ï¿½â¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½òªï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ò»ï¿½ï¿½ï¿½ï¿½ï¿½ãµï¿½ñ§ï°ï¿½ï¿½î§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½â¡¢ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½â¡£
����
����������ð©ï¿½ï¿½ê¦ï¿½ï¿½×¨òµï¿½é³ï¿½ï¿½ï¿½ï¿½â£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½é¢ï¿½ï¿½ï¿½ï¿½ï¿½ä¹ï¿½ã¢ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ò»ï¿½ï¿½ò»ï¦ï¿½î³éµä£ï¿½ï¿½ï¿½î½ï¿½ï¿½ì¨ï¿½ï¿½ò»ï¿½ï¿½ï¿½ó£ï¿½ì¨ï¿½ï¿½ê®ï¿½ê¹¦ï¿½ï¿½ï¿½ï¿½ò»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ä½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½ï¿½ç´ó²ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ë¼ï¿½ï¿½ï¿½ï¿½ä¥ï¿½ï¿½ï¿½ï¿½ï¿½ä¡ï¿½ï¿½ï¿½ï¿½ï¿½ó¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ïµä¼ï¿½ö¿ì¿à¾«ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½û·ï¿½ï¿½ï¿½ï¿½ï¿½ö¶ï¿½ï¿½é£¬ï¿½ï¿½ï¿½ð´ï¿½ï¿½ê£ï¿½ï¿½ì¶ì¼ï¿½ï¿½ê£¬ï¿½ï¿½ï¿½ï¿½ï¿½ë´ï¿½ï¿½ï¿½ï¿½ä¶ï¿½ï¿½ï¿½ï¿½õ¼ç£ï¿½ï¿½ï¿½ï¿½ï¿½ö®ï¿½â£¬ï¿½ï¿½ï¿½ï¿½ï¿½ô¼ï¿½ï¿½ï¿½ñ§öªê¶ï¿½ï¿½ï¿½ãµï¿½æ½ê±ï¿½ä½ï¿½ñ§êµï¿½ï¿½ö®ï¿½ð£ï¿½ï¿½ï¿½å¬ï¿½ï¿½ì½ï¿½ï¿½ï¿½âµä½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ò·ï¿½ï¿½ö£ï¿½ï¿½ï¿½ï¿½îªò»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ä½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½å¬ï¿½ï¿½ï¿½ï¿½ï¿½òµï¿½ï¿½ë®æ½ï¿½ï¿½ï¿½â£¬ï¿½ï¿½ï¿½ï¿½òªï¿½ï¿½ï¿½û´ï¿½ï¿½ï¿½ï¿½ï¿½öªê¶ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½úºï¿½ï¿½ï¿½
��������ò»ï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½ò»ð©ï¿½ï¿½ê¦ï¿½ú½ï¿½ñ§ï¿½ðµä±ï¿½ï¿½ï¿½ï¿½é£¬ï¿½ç£ºö£ï¿½ï¿½ö¾ï¿½ï¿½ê¦ï¿½áµ½ï¿½ï¿½ï¿½ï¿½ô¸ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï°ï¿½ï¿½ï¿½í¿ï¿½ï¿½ã±ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¦ï¿½ä´ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¡¢ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½â¡ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½äµèµè£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½òºü´ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ú½ï¿½ï¿½ä¹ï¿½ï¿½ï¿½ï¿½ð£ï¿½ï¿½ï¿½ò»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½×¨ï¿½ò½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¦ñ§ï°ï¿½ãµä·ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ô¼ï¿½ï¿½ä½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½òµï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½òµï¿½ï¿½ï¿½ñ§ï¿½î£ï¿½
数学教师的教学心得篇九
几次学习后,受益不浅。优秀教师讲课的优点主要表现在:
1、教态明朗,快活,富有感染力;
2、语言有艺术性,有启发性,语调抑扬顿挫,声声入耳,能唤起学生的求知欲望;
3、课前准备充分,熟练应用多媒体、幻灯片等现代教育技术,制作精美课件,吸引学生,变学生的“要我学”为“我要学”,培养学生自觉自主学习的习惯;
4、教学过程结构严谨,环环相扣,过渡自然,时间分配合理,密度适中。
5、“他心之石,可以攻玉”。多借鉴他人的成功经验,充实自己,提高自己的业务水平;
6、优化教学过程,培养学习兴趣,目前,在数学学科的教学中,学生的“厌学”较为严重,主要表现在;课内不专听讲,课外懒于做作业,不复习巩固,不少学生因为“不听,不做”,到“中的不懂、不会做,”,发展到根本“不听、不做”,破罐子破摔,丧失信心,针对这一现象,为培养学生的学习兴趣,根据教材的不同内容采用多种形式,例如:在讲第三单元分数除法时,我把这一章内容分为三类,即“概念关”、“法则关”、“运算关”,找出每个“关口”的知识点和每个“关口”应注意的地方,并在每个“关口”设有把关人员,学生每通过一关,给予鼓励,使学生体验到收获的喜悦,培养学习兴趣。
数学教师的教学心得篇十
��������ñ§ï°ï¿½ï¿½ï¿½ï¿½ï¿½æ²»ç³ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¦ï¿½ï¿½ï¿½îµï¿½ï¿½åµï¿½ï¿½ï¿½òªï¿½ï¿½ï¿½ï¿½ï¿½ú£ï¿½
����1����ì¬ï¿½ï¿½ï¿½ê£ï¿½ï¿½ï¿½î£¬ï¿½ï¿½ï¿½ð¸ï¿½è¾ï¿½ï¿½ï¿½ï¿½
����2�������������ô£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ô£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ù´ì£¬ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ü»ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½öªï¿½ï¿½ï¿½ï¿½ï¿½ï¿½
����3����ç°×¼ï¿½ï¿½ï¿½ï¿½ö£ï¿½ï¿½ï¿½ï¿½ï¿½ó¦ï¿½ã¶ï¿½ã½ï¿½å¡¢ï¿½ãµï¿½æ¬ï¿½ï¿½ï¿½ö´ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½î¼ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ä¡ï¿½òªï¿½ï¿½ñ§ï¿½ï¿½îªï¿½ï¿½ï¿½ï¿½òªñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ô¾ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ï°ï¿½ß£ï¿½
����4����ñ§ï¿½ï¿½ï¿½ì½á¹¹ï¿½ï½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½û£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½è»ï¿½ï¿½ê±ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ü¶ï¿½ï¿½ï¿½ï¿½ð¡ï¿½
����5��������ö®ê¯ï¿½ï¿½ï¿½ï¿½ï¿½ô¹ï¿½ï¿½ñ¡±¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ëµä³é¹ï¿½ï¿½ï¿½ï¿½é£¬ï¿½ï¿½êµï¿½ô¼ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ô¼ï¿½ï¿½ï¿½òµï¿½ï¿½ë®æ½ï¿½ï¿½
����6���å»ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ì£ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½è¤ï¿½ï¿½ä¿ç°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ñ§ï¿½æµä½ï¿½ñ§ï¿½ð£ï¿½ñ§ï¿½ï¿½ï¿½ä¡ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½îªï¿½ï¿½ï¿½ø£ï¿½ï¿½ï¿½òªï¿½ï¿½ï¿½ï¿½ï¿½ú£ï¿½ï¿½ï¿½ï¿½ú²ï¿½×¨ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½òµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï°ï¿½ï¿½ï¿½ì£ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½îªï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ðµä²ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½õ¹ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½æ¹ï¿½ï¿½ï¿½ï¿½ï¿½ë¤ï¿½ï¿½é¥ê§ï¿½ï¿½ï¿½ä£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ò»ï¿½ï¿½ï¿½ï¿½îªï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½è¤ï¿½ï¿½ï¿½ï¿½ï¿½ý½ì²äµä²ï¿½í¬ï¿½ï¿½ï¿½ý²ï¿½ï¿½ã¶ï¿½ï¿½ï¿½ï¿½ï¿½ê½ï¿½ï¿½ï¿½ï¿½ï¿½ç£ºï¿½ú½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ôªï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê±ï¿½ï¿½ï¿½ò°ï¿½ï¿½ï¿½ò»ï¿½ï¿½ï¿½ï¿½ï¿½ý·ï¿½îªï¿½ï¿½ï¿½à£¬ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ø¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ø¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ø¡ï¿½ï¿½ï¿½ï¿½ò³ï¿½ã¿ï¿½ï¿½ï¿½ï¿½ï¿½ø¿ú¡ï¿½ï¿½ï¿½öªê¶ï¿½ï¿½ï¿½ã¿ï¿½ï¿½ï¿½ï¿½ï¿½ø¿ú¡ï¿½ó¦×¢ï¿½ï¿½äµø·ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ã¿ï¿½ï¿½ï¿½ï¿½ï¿½ø¿ú¡ï¿½ï¿½ï¿½ï¿½ð°ñ¹ï¿½ï¿½ï¿½ô±ï¿½ï¿½ñ§ï¿½ï¿½ã¿í¨ï¿½ï¿½ò»ï¿½ø£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¹ñ§ï¿½ï¿½ï¿½ï¿½ï¿½éµ½ï¿½õ»ï¿½ï¿½ï²ï¿½ã£ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½è¤ï¿½ï¿½
数学教师的教学心得篇十一
�������å¿î³ì¸ä¸ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ë£¬ï¿½ï¿½ê¦ï¿½ä½ï¿½ñ§ï¿½ï¿½ï¿½î¡¢ï¿½ï¿½ñ§ï¿½ï¿½ê½ò²ï¿½ï¿½ö®ï¿½ï¿½ï¿½ï¿½ï¿½å±ä»¯ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½öªê¶ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ë·½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ì¬ï¿½ï¿½ï¿½ï¿½ï¿½öµï¿½û¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½î¬ï¿½ï¿½îªä¿ï¿½ï¿½ä¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ì½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ê½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ç°ì¨ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½â¿î¸ä²ï¿½ï¿½ï¿½êµï¿½ï¿½ï¿½ë¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ú¾ï¿½ï¿½ï¿½ä½ï¿½ñ§êµï¿½ï¿½ï¿½ð£ï¿½ò²ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½öµï¿½ï¿½ï¿½ï¿½ï¿½ç·ï¿½ë¼ï¿½ä¶ï¿½ï¿½ï¿½ï¿½ï¿½
�����î¸ï¿½ï¿½ð£ï¿½ï¿½ï¿½ï¿½ï¿½å¬ï¿½ï¿½ì½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½êµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ë¼ï¿½ï¿½ï¿½ï¿½ï¿½ñ¿î³ï¿½êµê©ï¿½äµ½ï¿½ï¿½êµï¿½ï¿½ï¿½ï¿½ï¿½õµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ôµä³ï¿½ð§ï¿½ï¿½
������ê¦ï¿½ç¿î³ï¿½êµê©ï¿½ï¿½ï¿½ï¿½ö¯ï¿½ß£ï¿½ï¿½ù½ï¿½ï¿½ß£ï¿½ò²ï¿½ç¿î³ìµä¿ï¿½ï¿½ï¿½ï¿½ß¡ï¿½ï¿½î¸ï¿½ï¿½æ¶ï¿½ï¿½í´ù½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½çµä³é³ï¿½ï¿½ï¿½ï¿½ú¿î¸ï¿½êµê©ï¿½ð£ï¿½ï¿½ò³ï¿½ï¿½ï¿½ò»ï¿½ö¸ï¿½ï¿½ü£ï¿½ï¿½òºï¿½ï¿½òµï¿½ñ§ï¿½ï¿½ò»ï¿½ï¿½é³ï¿½ï¿½ï¿½ï¿½ï¿½í³ï¿½ï¿½ï¿½ï¿½ï¿½ïµä½ï¿½ê¦ö»ï¿½ï¿½ò»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ô±ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ëµï¿½ï¿½ò»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½æºãµä·ï¿½ï¿½ï¿½è¥ï¿½ïµ½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½æºãµï¿½ä¿ï¿½ê¡£ï¿½ú½ï¿½ñ§ï¿½î¶¯ï¿½ð£ï¿½ï¿½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ò»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ö´ï¿½ï¿½ï¿½ß£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ù³ï¿½îªï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ßºï¿½êµï¿½ï¿½ï¿½ß£ï¿½ï¿½ï¿½ï¿½ñ³ï¿½îªï¿½ô¾ï¿½ï¿½ä½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ð¾ï¿½ï¿½ß¡ï¿½ï¿½ú¿î³ì¸ä¸ï¿½ï¿½ð£ï¿½ï¿½ï¿½ï¿½â¾ï¿½ï¿½ï¿½ï¿½ï¿½ä²ï¿½ï¿½ï¿½ï¿½ï¿½×²ï¿½ð£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ò»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½-���-�ð¶ï¿½-��ë¼ï¿½ï¿½ï¿½ï¿½ï¿½ã³ì¡ï¿½ò»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ó£¬¼ï¿½ï¿½ï¿½ï¿½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½òªñ§ï¿½ï¿½ï¿½ï¿½òªï¿½ä£ï¿½ï¿½ï¿½òªï¿½ï¿½ï¿½ï¿½ï¿½ä²ï¿½ï¿½ï¿½ï¿½ï¿½ê¶ï¿½ï¿½ï¿½â¿î³ìµï¿½êµê©ï¿½ù½ï¿½ï¿½ë½ï¿½ê¦ï¿½ä³é³ï¿½ï¿½ï¿½îªï¿½ï¿½ê¦ï¿½ï¿½ï¿½ô»ï¿½ï¿½ï¿½ñ§ï¿½á¹©ï¿½ï¿½õ¹ï¿½ä¿õ¼ä£¬ï¿½ï¿½ï¿½ï¿½ë½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½ï¿½ê£ï¿½ê¹ï¿½ï¿½ï¿½ç´ï¿½ï¿½ï¿½í¨ï¿½ä½ï¿½ï¿½é½³ï¿½ï¿½îªï¿½ð¾ï¿½ï¿½ß£ï¿½ï¿½ï¿½ï¿½ï¿½ß¡ï¿½
�����î¸ï¿½ê¹ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ë¼î¬ï¿½ï¿½ï¿½á¸»ï¿½ï¿½ï¿½ï¿½ï¿½ô£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ù²ï¿½ï¿½ç½ï¿½ê¦ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ä±ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½æ£¬è¡ï¿½ï¿½ï¿½ï¿½ö®ï¿½ï¿½ï¿½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½é¾°ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ú½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½é£ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ì£¬ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ëºï¿½ï¿½ï¿½ï¿½çµï¿½ï¿½ï¿½ø¡ï¿½ï¿½ï¿½ï¿½ã½ï¿½ñ§í¹ï¿½ô£ï¿½
����(1)�������ã½ï¿½ñ§ï¿½ï¿½î§ï¿½ï¿½ï¿½ï¿½ï¿½ãµä½ï¿½ñ§ï¿½ï¿½î§ï¿½ô´ù½ï¿½ñ§ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½öªï¿½ï¿½ï¿½é¡¢ï¿½â¡¢ï¿½ðµï¿½è«ï¿½ï¿½ð����õ¹ï¿½ï¿½ï¿½ï¿½ê®ï¿½ï¿½ï¿½ï¿½òªï¿½ï¿½ï¿½ï¿½ï¿½ã£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ú½ï¿½ñ§ï¿½ï¿½×¢ï¿½â´´ï¿½ï¿½æ½ï¿½èºï¿½ð³ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½öªï¿½ï¿½è¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ãµä½ï¿½ñ§ï¿½ï¿½î§ï¿½ï¿½
����(2)���������龳�����ç´ï¿½ñ§ï¿½ï¿½ï²ï¿½ï¿½ï¿½ö¼ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½é¾³ï¿½í¿í¹ï¿½ï¿½ï¿½êµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½í¼ï¿½ï¿½ï¿½é¾°õ¹ï¿½ö£ï¿½ê¹ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½îµ±ï¿½ð£ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½á¹©ï¿½ï¿½ö¶ï¿½ï¿½ö²ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ì½ï¿½ï¿½ï¿½íºï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ä»ï¿½ï¿½á£¬ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ð¾ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½êµï¿½ï¿½ï¿½ï¿½ï¿½â¡£ï¿½ç°ï¿½ê±ï¿½ï¿½í¿õ¼ä½»ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½í¨ï¿½ï¿½ï¿½û²ì¡¢ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ë¼ï¿½ï¿½ï¿½ï¿½èºï¿½ï¿½ï¿½ï¿½ï¿½û£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§öªê¶ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ã¿ï¿½ï¿½ã¡ï¿½ï¿½î¡±ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½û¾ï¿½ï¿½ï¿½ï¿½á¹©ï¿½û²ï¿½ï¿½ï¿½á¡£ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ò»ë«ï¿½ç»ûµï¿½ï¿½û¾ï¿½è¥ñ°ï¿½ï¿½ï¿½ï¿½ï¿½ßµï¿½ï¿½ï¿½ñ§öªê¶ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½í£ï¿½ï¿½á¹©ï¿½ï¿½ï¿½ï¿½ä»ï¿½ï¿½á£¬ï¿½ï¿½ï¿½ï¿½ñ§öªê¶ô¢ï¿½ï¿½í¯ï¿½ï¿½ï¿½ï¿½ï¿½â¡ï¿½ï¿½ï¿½è¤ï¿½ï¿½ï¿½ï¿½ï·ï¿½ð£ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¤ï²ï¿½ï¿½ï¿½ï¿½ï¿½é¾³ï¿½ï¿½ï¿½ï¿½ï¿½ò¡¢±ï¿½ï¿½ï£¬ëµï¿½ï¿½ï¿½ô¼ï¿½ï¿½ä¸ï¿½ï¿½üºï¿½ï¿½ë·¨ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½í·ï¿½ô£ï¿½ï¿½á¹©ë¼ï¿½ï¿½ï¿½ä»ï¿½ï¿½á¡£ï¿½ú½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ð£ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ë¼ï¿½ï¿½ï¿½ä¿õ¼ä£¬ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ë¼ï¿½ï¿½ï¿½ï¿½ì½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½û£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½í»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ë«ï¿½ö£ï¿½ï¿½á¹©ï¿½ï¿½ï¿½ï¿½ï¿½ä»ï¿½ï¿½á¡£ï¿½ï¿½í¯ï¿½ï¿½ë¼î¬ï¿½ë²»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ô´èªë¼î¬ï¿½ï¿½ï¿½ï¿½ã£¬í¨ï¿½ï¿½ï¿½ï¿½í¿ò»í¿ï¿½ï¿½ï¿½ï¿½ò»ï¿½ö¡ï¿½î§ò»î§ï¿½ï¿½ï¿½ï¿½ò»ï¿½û¡ï¿½æ´ò»æ´ï¿½ï¿½ï¿½ï¿½êµï¿½ï¿½ï¿½î¶¯ï¿½ï¿½ï¿½ï¿½ê¶ï¿½ï¿½ï¿½ï¿½ï¿½î¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½î£ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ä¿õ¼ä£¬ï¿½á¹©ï¿½ï¿½ï¿½öµä»ï¿½ï¿½á¡£
�����î¸ï¿½ï¿½ðµï¿½ï¿½ï¿½ñ§ï¿½ï¿½ê¦îªï¿½î³ï¿½êµê©ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ò»ï¿½ð£ï¿½ï¿½ï¿½ï¿½ï¿½îªï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ð¼ï¿½öµï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ã±ï¿½òªï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ïµãµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ü³ï¿½öµä·ï¿½õ¹ï¿½ï¿½ï¿½ï¿½ï¿½úµä¿î¸ä±ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï·ï¿½ï¿½ï¿½ï¿½ë¿ï¿½ï²ï¿½ä±ä»¯ï¿½ï¿½ï¿½ï¿½ï¿½çµï¿½ô¸ï¿½ï¿½ï¿½ð²½µãµï¿½êµï¿½ö¡ï¿½
����1��ñ§ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½è¤å¨ï¿½ï¿½ï¿½ï¿½ï¿½ó´ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ãµï¿½ñ§ï°ï¿½é¾³ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï²ï¿½ï¿½ï¿½ö¼ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½î¶¯ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ñ§ï°ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½è¤ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ä¹ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ðµä¾ï¿½ï¿½ï¿½ï¿½ì¾ßºï¿½ñ§ï¿½ß¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½æ¡¢ï¿½ï¿½ï¿½ï¿½ï¿½â¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¡¢ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ð¡ï¿½é¾ºï¿½ï¿½ï¿½ãºï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ì¡¢í¶ï¿½ë£¬ê¹ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ú»ï¿½ã»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï£ï¿½ï¿½ï¿½ï¿½ã¿ï¿½ï¿½öµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½í¬ê±ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½öªê¶ï¿½ï¿½ï¿½üºï¿½ë¼ï¿½ë·½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¹ï¿½ï¿½ï¿½ï¿½ï¿½çµä¶ï¿½ï¿½ö²ï¿½ï¿½üµï¿½ï¿½ï¿½õ¹ï¿½öºï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ç¾ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ñ§ï¿½ç¿ï¿½ï¿½ö¡ï¿½ï¿½ï¿½è¤ï¿½ä¡ï¿½
����2��ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½â£¬ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½â¡£ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ç½ï¿½ñ§ä¿ï¿½ï¿½ï¿½ï¿½ï¿½òªï¿½ï¿½é²ï¿½ï¿½ö¡ï¿½ï¿½â½ì²ï¿½ï¿½á¹©ï¿½ë·á¸»ï¿½ï¿½ï¿½ï¿½ô´ï¿½ï¿½ï¿½ù½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½è¤ï¿½ï¿½ï¿½ï¿½ô´ï¿½ï¿½ï¿½ï¿½êµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½õ½ï¿½ôµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½é¾³ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ì½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ðµï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï½ï¿½ê¦ï¿½ä»ï¿½ï¿½ï¿½õ¾ï¿½ï¿½ï¿½ï¿½ëµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ò»ï¿½ï¿½ð²ï¿½í¬ï¿½ï¿½ï¿½ë·¨ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ò»ï¿½ê¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¦ï¿½ï¿½ï¿½ò»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ù²ï¿½ï¿½ï¿½2�ã¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ð°¸²ï¿½î¨ò»ï¿½ï¿½ï¿½â·¨ï¿½ï¿½ï¿½å»ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ë¼â·ï¿½ð²½¿ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ð²ï¿½ï¿½ï¿½ó¿ï¿½ö´ï¿½ï¿½â¾ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ã¾ï¿½ï¿½ï¿½ï¿½ï¿½îªñ§ï¿½ï¿½ï¿½ä¡ï¿½ï¿½ï¿½æ¡±ï¿½ö³ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ö³ï¿½ï¿½ï¿½ï¿½ä·á¸»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ô¾ï¿½ï¿½ë¼î¬ï¿½ï¿½ï¿½ô¼ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ð½ï¸ï¿½ë¼ï¿½ï¿½ï¿½ï¿½öµï¿½ï¿½ï¿½ï¿½ï¿½â£¬ï¿½ï¿½ï¿½ä½ï¿½ï¿½â·½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½êµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½äºï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½þ²ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½îªï¿½ï¿½ï¿½ìº¢ï¿½óµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ç±ï¿½ï¿½ï¿½ï¿½ï¿½û·ï¿½ï¿½ï¿½
����3��ñ§ï¿½ï¿½ï¿½ï¿½ï¿½üµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ð´ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½â½ì²ï¿½ï¿½ð±ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ïµñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½êµï¿½êµï¿½ï¿½ï¿½ñ§ï¿½ø²ä¡ï¿½ï¿½ú¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½õ¼ï¿½í¼ï¿½î¡ï¿½ï¿½ï¿½ï¿½ï¿½í³ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¡ï¿½ï¿½ï¿½ï¿½ï¿½êµï¿½ï¿½ï¿½ï¿½ï¿½ûºï¿½ó¦ï¿½ã¡ï¿½ï¿½ä¸ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½æµï¿½ï¿½é¾°ï¿½ï¿½ï¿½ï¿½ï¿½ç¾ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ßµï¿½ï¿½ï¿½ï¿½é¡£ï¿½ò½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½î¾ï¿½ï¿½ï¿½öªê¶ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ô¼ï¿½ï¿½ï¿½ï¿½ï¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¡¢ï¿½ï¿½ï¿½ï¡¢ð£ô°ï¿½ï¡¢ï¿½ï¿½ï¿½ï¿½ï¿½ñ°ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ ��ëµëµï¿½ï¿½ï¿½ï¿½ï¿½ßµï¿½í¼ï¿½ï¿½ï¿½ï¿½ê²ã´ï¿½ï¿½×´ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½â£¬ê¹ñ§ï¿½ï¿½ï¿½ï¿½áµ½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ß£ï¿½ï¿½ï¿½ä¿ï¿½ï¿½è¥ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½î¡ï¿½ï¿½ï¿½ð¡ï¿½ï¿½î»ï¿½ã¡ï¿½í³ï¿½æ¡ï¿½ï¿½ó¼ï¿½ï¿½ë³ï¿½ï¿½ï¿½ïµï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¢ï¿½ï¿½ï¿½ï¿½ï¿½ç¾ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ú³ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¢ï¿½ï¿½ï¿½ï¿½êµï¿½ï¿½ï¿½ï¿½ï¿½ð¡ï¿½
����4��ñ§ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ëºï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½ã³é¹ï¿½ï¿½ï¿½ï¿½é¡£ï¿½î¸ï¿½ï¿½ð£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ������ò»ï¿½ï¿½ô��è¥ï¿½ï¿½ñ§ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ü¶ï¿½ï¿½ï¿½ï¿½ä£ï¿½ï¿½ï¿½ê¦ò»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½í¨ï¿½ï¿½ð¡ï¿½ï¿½ï¿½ð¾ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½â£¬ò»ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½è¥ï¿½ï¿½ï¿½û£ï¿½ï¿½ï¿½ï¿½ï¿½ê¹ñ§ï¿½ï¿½ï¿½ï¿½öªê¶ï¿½ï¿½ñ§ï°ï¿½ä±»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½îªï¿½ï¿½ï¿½ï¿½ì½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ëµä·ï¿½õ¹ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ú¶ï¿½í¯ï¿½ï¿½è¡ï¿½ï¿½ï¢ï¿½ä¶ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ú¾ï¿½ì²ï¿½ï¿½ðµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ø²ä£ï¿½ï¿½ï¿½ï¿½ïºï¿½ï¿½ï¿½ñ§ï°ï¿½á¹©ï¿½ï¿½ï¿½ï¿½þ¶èµï¿½ê±ï¿½ï¿½í¿õ¼ä£¬ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½äºï¿½ï¿½ï¿½ï¿½ï¿½ê¶ï¿½ï¿½èºï¿½ï¿½ð��������ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½í¬ï¿½ï¿½ä½ï¿½ï¿½ï¿½ï¿½î¶¯ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ð§ï¿½ø±ï¿½ï¿½ï¿½ï¿½ô¼ï¿½ï¿½ä¹ûµã£¬ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ëµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½í¬ï¿½é¾ï¿½é£¬ï¿½ó¶ï¿½ï¿½î³ï¿½ï¿½å½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½à»¥ï¿½ï¿½ï¿½ø£ï¿½ï¿½ï¿½ï¿½ï»¥ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ç¡£ï¿½úºï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½ï¿½êµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½æ£ï¿½ï¿½ï¿½è¡ð¡ï¿½é¾ºï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ð¡ï¿½ï¿½ï¿½ú³ï¿½ô±ï¿½äºï¿½ï¿½ï¿½ï¿½ï¿½ï¡ï¿½ç¿ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñºï¿½ï¿½ï¿½ï¿½ë¾ºï¿½ï¿½í³ò»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ü¸ï¿½ï¿½è¼¤ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½û£ï¿½ê¹ã¿ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ü»ï¿½ã³é¹ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½é¡£
����1���â½ì²ï¿½×¢ï¿½ø½ï¿½ï¿½ï¿½ï¿½ï¿½ôµä¶ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ð¸ï¿½ï¿½ï¿½ñ§ï¿½ï¿½öªê¶ï¿½ï¿½ï¿½õ²ï¿½ï¿½ï¿½êµï¿½ï¿½ã¬ï¿½ü¡ï¿½ï¿½â½ì²ï¿½ï¿½ï¿½ï¢ï¿½ä³ï¿½ï¿½ï¿½ï¿½ï¿½ê½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ð¿ï¿½ñ¡ï¿½ï¿½ï¿½ô£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ä²ï¿½ï¿½ô¶ï¿½ï¿½ï¿½ï¿½ô£ï¿½ç¿ï¿½ï¿½ë¼î¬ï¿½ä¶ï¿½ï¿½î¡ï¿½ï¿½ï¿½ç¶è¡ï¿½è«ï¿½ï¿½ï¿½ô£ï¿½ï¿½ð°¸²ï¿½î¨ò»ï¿½ï¿½ï¿½ð¿ï¿½ï¿½ï¿½ï¿½ô¡ï¿½ï¿½ï¿½ï¿½úºü´ï¿½ì¶ï¿½ï¿½ï¼ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ë¼î¬ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½è¥ñ°ï¿½ï¿½ï¿½êºï¿½ï¿½ô¼ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¦ï¿½ú½ï¿½ñ§êµï¿½ï¿½ï¿½ð·ï¿½ï¿½ö£ï¿½ë¼î¬ï¿½ï¿½ï¿½ï¿½ç¿ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½õ¶ï¿½ï¿½ö½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ä·ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ò»ï¿½ö·ï¿½ï¿½ï¿½ò²ã»ï¿½ï¿½ï¿½ï¿½ï¿½õ¡ï¿½ï¿½ã¶ï¿½ï¿½ï¿½ö®ï¿½ï¿½ï¿½ï¿½ï¿½ö»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ö¡ï¿½
����2���â½ì²ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ä¹ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½í½ï¿½ï¿½ï¿½ï¿½ï¿½ô¶ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ú´ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï°ï¿½ï¿½ï¿½ï¿½ù£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½×´ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï±ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½â²»ï¿½éºï¿½ï¿½ó¡ï¿½
����3����ñ§ï¿½ï¿½ï¿½ä£ï¿½ï¿½ï¿½ï¿½ð§ï¿½ï¿½ð¡ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½è¶ï¿½ï¿½ï¿½ï¿½ï¿½â¡£òªï¿½ï¿½ñ§ï¿½ï¿½ì½ï¿½ï¿½ï¿½ï¿½ê±ï¿½ï¿½í¿õ¼ä£¬ï¿½ï¿½ï¿½ï¿½ï¿½þµï¿½40����ê±ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ã¹»ï¿½äºï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ûµï¿½ê±ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê±ï¿½ï¿½ï¿½è·ï¿½ï¿½ï¿½ã¬ï¿½ü£ï¿½ï¿½ï¿½î°ï¿½ï¿½õ¸ï¿½ï¿½è¡°ê±ï¿½ä¡±ï¿½ä¶è£ï¿½
����5�����ã»î¶¯ï¿½ï¿½è±ï¿½ù½ì¡ï¿½ñ§ï¿½ßµï¿½ï¿½ï¿½ï¿½â¡£
����������å©ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½è»ï¿½ó²¿·ï¿½ñ§ð£ï¿½ï¿½ï¿½ï¿½óµï¿½ð¼ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ã¿ï¿½ï¿½ï¿½à¼¶ï¿½ï¿½ï¿½ã¼ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½î»ï¿½ï¿½ï¿½ò»ï¿½ï¿½ê±ï¿½ä¡£
�����â¿î±ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ñ§ï°ï¿½ä¹ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½û£ï¿½ï¿½ðºü¶ï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½òªñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½è¥êµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ò²ï¿½ï¿½ï¿½ø±ï¿½ï¿½ï¿½òªï¿½ï¿½ó¦ï¿½ä½ì¾ß¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ð©ï¿½ì¾ß¿ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½æ£ï¿½ï¿½ï¿½ï¿½ç£ï¿½ò²ï¿½ï¿½ò»ð©ï¿½ì¾ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½è½ï¿½ï¿½ï¿½ï¿½ñ»ï¿½ï¿½ï¿½ï¿½æµä½ì¾ï¿½ï¿½ï¿½ï¿½ô´ïµ½ô¤ï¿½úµï¿½ð§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ü²ï¿½ï¿½ï¿½ï¿½ã¡£
数学教师的教学心得篇十二
随着课程改革的逐步深入,教师的教学观念、教学方式也随之发生着变化;以培养学生“知识与能力、过程与方法、情感态度与价值观”的三个维度为目标的“自主、合作、探究”的学习方式正逐步走向教学前台。我们镇跟随新课改步伐实行了“六步”教学法,在具体的教学实践中,也出现了许多值得我们反思的东西。
课改中,我们努力探索,大胆实践,认真思考,把课程实施落到了实处,收到了明显的成效。
教师是课程实施的组织者,促进者,也是课程的开发者。课改推动和促进了我们的成长。在课改实施中,我常有一种感受,我和我的学生一起成长。传统意义上的教师只是一个技术人员,或者说是一个工匠,仅是用他人设计好的方案去达到他人设计好的目标。在教学活动中,教师更多地是一个被动的执行者,而很少成为主动的设计者和实践者,更难成为自觉的教学问题的研究者。在课程改革中,在新旧理念的不断碰撞中,我们数学教师走上了一条“问题-设计-行动-反思”的旅程。一个个的问题和需求,激发教师“我要学,我要改,我要做”的参与意识。新课程的实施促进了教师的成长,为教师个性化教学提供发展的空间,提高了教师的素质,使我们从普通的教书匠成为研究者,设计者。
课改使学生开阔了思维,丰富了语言,课堂上再不是教师讲学生听的被动局面,取而代之的是师生互动、生生互动的情景,学生在教师引导下学得轻松,学得愉快,课堂真正成了孩子们的天地。课堂教学凸显:
(1)创设良好教学氛围。良好的教学氛围对促进学生学习乃至知、情、意、行的全面协调发展起着十分重要的作用,我们在教学中注意创设平等和谐、合作交流,求知进取三种良好的教学氛围。
(2)创设问题情境。我们从学生喜闻乐见的生活情境和客观事实出发,以图画情景展现,使学生亲自体验数学就在生活当中,给学生提供充分动手操作,自主探索和合作交流的机会,让学生主动研究充满数学的实践问题。是把时间和空间交给学生,让他们通过观察、操作,独立思考及群体讨论,获得数学知识,真正让课堂“活”起来,学生“动”起来。开放学生的眼睛,提供观察机会。让学生用一双智慧的眼睛去寻找身边的数学知识;开放学生的嘴巴,提供表达的机会,将数学知识寓于童话故事、有趣的游戏中,让学生在熟悉喜爱的情境中领悟、表达,说出自己的感受和想法;开放学生的头脑,提供思考的机会。在解决问题中,留给学生思考的空间,经过学生自身积极地思考,探究发现数学结论,体会数学的魅力和活力;开放学生的双手,提供操作的机会。儿童的思维离不开动作,操作是智力的源泉思维的起点,通过“涂一涂、分一分、围一围、折一折、拼一拼”的实践活动,认识长方形、正方形;开放学生的空间,提供表现的机会。
课改中的数学教师为课程实施所付出的一切,都是为了让学生能学习有价值的数学,获得必要的数学,在数学上得到尽可能充分的发展。长期的课改表明,孩子们身上发生了可喜的变化,我们的愿望逐步得到实现。
1、学生乐学、爱学、兴趣浓厚。重视创设生动活泼的学习情境和学生主动喜闻乐见的数学活动,激发学生学习数学的兴趣,唤起其心灵的共鸣。教学中的精美教具和学具、生动画面、讲故事、猜谜语、集体抢答、小组竞赛让孩子们学得愉快、投入,使得学生在获得积极向上,活泼快乐的情感体验的同时,获得数学的知识技能和思想方法,并使得他们的多种才能得以展现和培养,他们觉得学习数学是快乐、有趣的。
2、学生善于提出问题,解决问题。培养学生解决问题的能力是教学目标的重要组成部分。新教材提供了丰富的资源,促进学生更主动地学习数学。有趣、来源于现实,富有挑战性的问题情境激发了学生的探究欲望,课堂上,经常出现有的学生打断教师的话并站起来说:“老师,这道题我还有不同的想法”,“老师,我有问题想问一问”,“老师,我还可以再补充2点……”,答案不唯一,解法最优化,学生思路逐步开阔,解题中不断涌现创新精神,数学课堂经常成为学生的“答辨”现场,学生所表现出来的丰富的想象力,活跃的思维,以及提出的有较高思考价值的问题,灵活的解题方法,结合实际问题作出的合理解答,无不让我们为今天孩子的能力和潜质所折服。
3、学生感受到生活中处处有数学。“新教材中编入了许多密切联系学生生活实际的数学素材。在“数与代数”、“空间图形”、“统计与概率”、“实践与综合应用”的各个领域里所设计的情景,都是经常发生在学生身边的事情。我结合学生的生活经验和知识背景,让学生在自己身上、教室里、家里、校园里、大街上寻找所学的数学。如 “说说你身边的图形是什么形状”等问题,使学生体会到数学就在我们身边,举目望去,信手拈来,到处是数、形、大小、位置、统计、加减乘除关系等数学信息,我们就生活在充满数学信息的现实世界中。
4、学生学会与他人合作学习,获得成功体验。课改中,我们遵循着这样一个原则去教学:学生能读懂的,老师一定不讲,学生能通过小组研究解决的问题,一定让学生去讨论,这样使学生对知识的学习变被动接受为主动探索,进而逐步学会学习。教学设计中着眼于人的发展,着眼于儿童获取信息的多向交流,挖掘教材中的良好素材,给合合作学习提供最大限度的时间和空间,培养学生的合作意识和群体协力。许多学生在与同伴的交流活动中逐步学会如何有效地表达自己的观点,认真地倾听他人的意见,概括吸收同伴经验,从而形成团结合作,相互尊重,互帮互助的良好学风。在合作学习中又适当引进竞争机制,采取小组竞赛的形式,鼓励小组内成员的合作配合。强调集体荣誉,把合作与竞争统一起来,并尽可能给予激励性评价,使每个学生都能获得成功的体验。
1、新教材注重解题策略的多样性与教学中个别学生知识掌握不扎实的矛盾。新教材信息的呈现形式多样且有可选择性,解决问题的策略多样性,强调思维的多层次、多角度、全面性,答案不唯一而有开放性。这在很大程度上激活了学生的思维,激发学生去寻找适合自己的学习方法。教师在教学实际中发现,思维能力强的学生,课堂学习中能掌握多种解决问题的方法,但对学困生可能是一种方法也没有掌握。久而久之两级分化的现象出现。
2、新教材重视培养学生的估算能力和解题策略多样化,但对于纯计算题的练习相对少,以至产生学生算得慢,容易错,计算能力较薄弱的问题不可忽视。
3、教学班规模大,有效的小组合作学习还存在许多商榷的问题。要给学生探索的时间和空间,但有限的40分钟时间若留给学生足够的合作与讨论的时间又与课时进度发生矛盾,如何把握给予“时间”的度?
5、课堂活动与缺少教、学具的问题。
在我们农村地区,虽然大部分学校都有拥有计算机,但每个班级都用计算机来上数学课还有一段时间。
新课标更加重视学生学习的过程性评价,有很多学习内容需要学生动手去实践、操作,也就特别需要相应的教具。尽管有些教具可以让学生自制,但是,也有一些教具自制起来比较困难或自制的教具难以达到预期的效果,教学很不方便。
数学教师的教学心得篇十三
����í¨ï¿½ï¿½ï¿½ï¿½ï¿½î¹û¿ï¿½ï¿½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ú¿î£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½â¼ï¿½ï¿½ï¿½ï¿½ï¿½á£º
����ò»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½îªï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¦îªï¿½ï¿½ï¿½ï¿½ï¿½ä¿ï¿½ï¿½ï¿½ð§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ú¿ï¿½ï¿½ú¿ï¿½ï¿½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½è»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½õ¼è»ï¿½ô¾ï¿½ö²ï¿½ê§ï¿½ï¿½ï¿½à£¬ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½é£ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ë¼î¬ï¿½ï¿½ï¿½ï¿½ï¿½ôµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¹ñ§ï¿½ï¿½ï¿½ú»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½×¡ï¿½ï¿½ê¦ï¿½ï¿½ï¿½úµï¿½öªê¶ï¿½ï¿½
����������ê¦ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ë¡ï¿½ï¿½ï¿½ï¿½ï¿½è·ï¿½ð¡ï¿½
������ò»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ô·ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ú¿ï¿½ï¿½ð´ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ô¼ï¿½ï¿½æµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½æµï¿½ï¿½ï¿½îªê²ã´ò»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ô·ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½äµï¿½ï¿½ï¿½ï¿½ï¿½ê¹ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½îªê²ã´ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½äµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½è½ï¿½ï¿½ï¿½ï¸ï¿½ï¿½ï¿½ï¿½ò»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ð²ï¿½ï¿½ùµï¿½ï¿½ï¿½ê¦ï¿½ú½ï¿½ï¿½ï¿½ê±ï¿½ü´ï¿½ï¿½ôµø°ï¿½ï¿½ì²ï¿½ï¿½ï¿½ï¿½ï¿½ò»ð¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ý£ï¿½ö±ï¿½ï¿½ï¿½ï¿½ò»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½äµï¿½ï¿½ï¿½ï¿½ï¿½
����������ê¦òªï¿½ð½ï¿ï¿½ï¿½ï¿½öªê¶ï¿½ï¿½
������îªï¿½ï¿½ñ§ï¿½ï¿½ê¦ï¿½ò¸ï¿½ï¿½ï¿½ï¿½ï¿½îªï¿½ï¿½ï¿½ï¿½ó¦ï¿½ß±ï¿½ï¿½ì²ï¿½ï¿½ï¼ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½æ¼°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê·ï¿½ï¿½ï¿½ï¿½öªê¶ï¿½ï¿½ï¿½ï¿½ï¿½ç¡¶ï¿½ï¿½ï¿½ï¿½ä¸ï¿½ï¿½ê¾ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ó°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¾ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½å¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ßºï¿½öªê¶ï¿½ï¿½ï¿½ô¼ï¿½ï¿½æ¼°ï¿½ï¿½ï¿½ï¿½ï¿½â¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¼¶ï¿½ï²ï¿½ì²ï¿½ï¿½ï¿½ï¿½æ¼°ï¿½ä²ï¿½ï¿½ï¿½ê¡ï¿½ýµï¿½ï¿½ë¿ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ä¸ï¿½ê¡ï¿½ï¿½ê²ã´î»ï¿½ã£ï¿½ï¿½ï¿½ê±ï¿½ï¿½ê¦ï¿½ï¿½ó¦ï¿½ï¿½öªï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ò»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½í¸ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ä°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½õ¹ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ò°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¦ó¦ï¿½ß±ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¡ï¿½
����
����ò»ï¿½ï¿½×¢ï¿½ø¿ï¿½ï¿½ï¿½ð§ï¿½ï¿½
�����ò½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ò»ï¿½ï¿½ï¿½ï¿½ï¿½ôµä»ï¿½ï¿½á£¬ï¿½ï¿½öµï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ä»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ô£ï¿½ï¿½ä±ä±»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½öªê¶ï¿½ä¾ï¿½ï¿½æ¡£
���������ú½ï¿½ñ§ï¿½ï¿½ï¿½ø±ï¿½ï¿½ï¿½ï¿½æ¼°ï¿½ï¿½ï¿½î£¬ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ý£ï¿½ï¿½ï¿½ê¦òªï¿½ã´ï¿½×¼è·ï¿½ï¿½ï¿½ð¼éºï¿½ï¿½ï¿½ï¿½ï¿½ê£ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ò²ï¿½ï¿½ï¡ï¿½ï¿½ï¿½í¿ï¿½ï¿½
��������ע����ê¦ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½êµï¿½ï¿½ï¿½ï¿½
������ê¦ï¿½ï¿½òª×¢ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½òµï¿½ï¿½ï¿½ï¿½ï¿½ð£ï¿½ò²òªñ§ï°ï¿½ï¿½ï¿½ï¿½ê·ï¿½ï¿½ï¿½ï¿½öªê¶ï¿½ï¿½ï¿½ï¿½ï¿½õ¹ï¿½ï¿½òªï¿½ï¿½ï¿½ï¿½ê±ï¿½ï¿½ï¿½ä»¯ï¿½ä²ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ô¼ï¿½òªï¿½ï¿½ï¿½ï¿½ï¿½ì��
数学教师的教学心得篇十四
通过两次观看名师讲的两节课,本人有以下几点体会:
一、充分体现了以学生为主体老师为引导的课堂效果,这两节课授课老师引入自然,整个课堂气氛既活跃又不失节奏,有条不紊,把学生的思维积极性调动起来,使学生在欢快的气氛中掌握住老师所授的知识。
二、老师讲课中算理清晰明了、引导确切。
《一个数除以分数》这节课中从所给的例题中让学生自己推导,最终推导出为什么一个数除以分数等于这个数乘以这个数的倒数,使学生心里明白了为什么乘以这个数的倒数的算理比较详细,这一点可能有不少的老师在讲解时很粗略地按教材上那一小方框的内容,直接用一个数乘这个数的倒数。
三、教师要有较宽的知识面
作为数学老师我个人认为,还应具备教材上及其它资料上所涉及到的政、史、地知识。比如《用字母表示数》中影屏上所显示的神舟六号、神舟七号知识,以及涉及到的事。如四年级上册教材所涉及的部分省份的人口数及面积数,如果学生问起哪个省在什么位置,这时老师就应该知道,这样一来既渗透了学生的爱国主义教育又能扩展学生的视野,这是老师应具备的素质。
一、注重课堂效果
我将给学生创造一个发言的机会,充分调动其学习的积极性主动性,改变被动接受知识的局面。
二、在教学中特别是涉及概念,算理方面的内容,老师要用词准确,切忌含糊其词,否则学生也是稀里糊涂。
三、注重老师自身素质的提高
老师既要注重自身业务钻研,也要学习政、史、地知识面的拓展,要紧跟时代变化的步伐,否则自己要落后被淘汰。
数学教师的教学心得篇十五
����������å¨ï¿½ï¿½ï¿½õ³ï¿½ï¿½ï¿½â¥ì¨ï¿½ï¿½ó°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ë®ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½î¢ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¢ò»ï¿½ï¿½ï¿½ã¡£ï¿½ï¿½ï¿½ð½ï¿½ï¿½ï¿½ï¿½òµï¿½ï¿½ï¿½ö¯ï¿½â£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ò²î¼ï¿½ï¿½ï¿½ï¿½ì³¤ï¿½ï¿½ï¿½×½ï¿½ð¡ñ§ï¿½ï¿½ñ§ï¿½ï¿½ê¦ï¿½ï¿½ñµï¿½ï¿½í¨ï¿½ï¿½ñ§ï°ï¿½ï¿½ê¹ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¶ô½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ë¸ï¿½ï¿½ï¿½ï¿½îµï¿½ï¿½ï¿½ê¶ï¿½ï¿½ï¿½ï¿½á¡£ï¿½ú¶ï¿½ôªï¿½ï¿½ï¿½ï¿½á±³ï¿½ï¿½ï¿½ï¿½,��ò»ï¿½ï¿½ï¿½ï¿½ñ§ï°îªï¿½ï¿½ï¿½ï¿½ï¿½ê±ï¿½ï¿½ï¿½ï¿½,�ð½ï¿½ï¿½ï¿½ï¿½ò¼ï¿½ê±ï¿½ä¸ï¿½ð¡ñ§ï¿½ï¿½ê¦ï¿½á¹©ï¿½ï¿½ñ§ï°ï¿½í½ï¿½ï¿½ï¿½ï¿½ï¿½æ½ì¨ï¿½ï¿½îªï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñµï¿½ò´ò¶ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ïµï¿½ï¿½ï¿½ëµï¿½êµï¿½ï¿½ì¸ì¸ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½ê¶ï¿½ï¿½
����1��ì¸ì¸ï¿½ô±ï¿½ï¿½îµï¿½ï¿½ï¿½ê¶ï¿½ï¿½
�����������ïºã¿îµä¹ø¼ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ëµï¿½îºï¿½ò»ï¿½ã³é¹ï¿½ï¿½ä¿î¶ï¿½ï¿½ï¿½ï¿½é¾ï¿½ï¿½ä±ï¿½ï¿½î¶ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½â¿î³ï¿½êµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½î·¢õ¹ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½é¡°ï¿½ï¿½ò»ï¿½ï¿½ï¿½î·¢ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ìµä±ä»¯ï¿½ï¿½ï¿½ï¿½ê¦ï¿½ä¡ï¿½ï¿½ì¡ï¿½ï¿½ñ²ï¿½ï¿½ï¿½ï¿½çµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ú£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ö¯ï¿½ï¿½ï¿½ï¿½ï¿½ë¡¢ï¿½ï¿½ï¿½ûµèµï¿½ï¿½ûºï¿½;���顰ò²ï¿½ï¿½ï¿½ï¿½ï¿½çµï¿½ï¿½ï¿½ï¿½ä½ì¿ï¿½ï¿½é£¬ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ðµï¿½ï¿½é£¬ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ó¡ï¿½ï¿½ï¿½ó°ï¿½ï¿½ï¿½ï¿½ï¿½ç¡¢ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ö¾ï¿½ï¿½ï¿½ø±ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½â²¿ï¿½ï¿½ï¿½é¡£ï¿½ï¿½ã´ï¿½â¿î³ì±ï¿½ï¿½ï¿½ï¿½âµä±ï¿½ï¿½ï¿½ò²ï¿½ï¿½è»ï¿½ï¿½ï¿½ï¿½ï¿½þ±ä£¬ë��������ê²ã´ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ð©ï¿½ï¿½ï¿½ç½ï¿½ê¦ï¿½ï¿½ø½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½â¡£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¦ï¿½ä±ï¿½ï¿½æ¡¶ï¿½ï¿½ñ§ï¿½ï¿½ê¦ï¿½ï¿½î±ï¿½ï¿½î¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ö¸ï¿½ï¿½ï¿½ë·ï¿½ï¿½ï¿½ê¹ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¶ï¿½ï¿½ï¿½ïºï¿½ò»ï¿½ú¿îµï¿½ç°ï¿½ï¿½ï¿½ç±ï¿½ï¿½ë±¸ï¿½ï¿½ò»ï¿½ú¿î¡ï¿½
����2��ì¸ì¸ï¿½ï¿½ï¿½ï¿îµï¿½ï¿½ï¿½ê¶ï¿½ï¿½
�������âµä½ï¿½ñ§ê±ï¿½ï¿½ï¿½ï¿½ï¿½ú½ï¿½ï¿½ï¿½î¸äµä´ó»·¾ï¿½ï¿½â£ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ê¦ï¿½ï¿½î²ï¿½ï¿½ï¿½ï¿½ïºï¿½ò»ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½?����îªï¿½ï¿½ï¿½ï¿½òªï¿½ï¿½ï¿½ç£ï¿½ï¿½ï¿½ê¦ó¦ï¿½ï¿½ï¿½ð½ï¿½é«×ªï¿½ï¿½ï¿½ï¿½ó¦ï¿½ó´ï¿½í³ï¿½ï¿½öªê¶ï¿½ï¿½ï¿½ï¿½ï¿½ß½ï¿½é«ï¿½ï¿½ñ§ï¿½ï¿½ï¿½äµï¿½ê¦ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ä´ù½ï¿½ï¿½ß¡ï¿½ï¿½î³ìµä¿ï¿½ï¿½ï¿½ï¿½ß¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ß¡ï¿½ï¿½ï¿½ï¢ï¿½ï¿½ô´ï¿½ï¿½ï¿½ï¿½æºí²ï¿½ñ¯ï¿½ß¡ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ê¡ï¿½ï¿½ð¾ï¿½ï¿½ßºï¿½ñ§ï°ï¿½ßµè½ï¿½é«×ªï¿½ä¡£ï¿½ï¿½ï¿½ï¿½òªï¿½ï¿½40����òªï¿½ï¿½ï¿½ï¿½ï¿½ï¿½×·ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ð§ï¿½ï¿½(������ð§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ð§ï¿½ê¡ï¿½ï¿½ï¿½ð§ï¿½ï¿½)��â¬ï¿½ü·ï¿½ï¿½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½ï¿½ä±ï¿½ï¿½ï¿½ï¿½ï¿½îªï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¸ï¿½ä½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ïºï¿½ò»ï¿½ú¿î£ï¿½ï¿½úµï¿½ç°ï¿½ä¿ï¿½ï¿½ã½ï¿½ñ§ï¿½ð½ï¿½ê¦ï¿½ï¿½ï¿½úµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ô¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½â¡±ï¿½ï¿½ò»ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½îªï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½õ¹ê¾ï¿½ï¿½ï¿½ïºï¿½ò»ï¿½ú¿îµï¿½è«ï¿½ï¿½ï¿½ï¿½ï¿½ì¡ï¿½ï¿½ï¿½è»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ïºã¿î£ï¿½ï¿½ï¿½ï¿½ð¸ï¿½ï¿½ï¿½ä·ï¿½ï¿½ï¿½öµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ã¿î»ï¿½ï¿½ê¦è¥ï¿½ï¿½×¢ï¿½ï¿½è¥ë¼ï¿½ï¿½ï¿½ï¿½è¥ì½ï¿½ï¿½ï¿½ï¿½ï¿½ï¾ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ã¿ï¿½ï¿½ï¿½ëµï¿½ï¿½ï¿½ï¿½ï¿½í·ï¿½õ¹ï¢ï¢ï¿½ï¿½øµä¡ï¿½
����3��ì¸ì¸ï¿½ï¿½î´ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ã½ï¿½ñ§ô¤ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½éµä¹ï¿½ïµï¿½ï¿½
�������ã½ï¿½ñ§ï¿½ï¿½ô¤ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½éµï¿½ã¬ï¿½ï¿½í³ò»ï¿½å£¬ï¿½ï¿½öµï¿½ô¤ï¿½ï¿½ï¿½ç¿ï¿½ï¿½ã½ï¿½ñ§ï¿½é¹ï¿½ï¿½ä±ï¿½ï¿½ï¡ï¿½ö»ï¿½ð¿ï¿½ç°ï¿½ï¿½ï¿½ï¿½ô¤ï¿½è£¬ï¿½ï¿½ï¿½ï¿½ï¿½ú¿ï¿½ï¿½ï¿½ï¿½ï¶ï¿½ì¬ï¿½ï¿½ï¿½é¡ï¿½ï¿½ï¿½ï¿½ç»ï¿½ó¦ï¿½ã¡ï¿½ï¿½á³«ï¿½ï¿½ï¿½é¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ú´ï¿½ï¿½ï¿½ï¿½é¡ï¿½ï¿½ï¿½í¬ê±ò²ï¿½ï¿½ï¿½ï¿½×¢ï¿½ï¿½ï¿½é¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ô¦ï¿½ï¿½ï¿½é¡ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½çµä¿ï¿½ï¿½ï¿½ò»ï¿½ï¿½ï¿½ï¿½è¡£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¦ï¿½ä½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ô¼ï¿½ï¿½ä¹ï¿½ï¿½ï¿½ï¿½ï¿½îªï¿½ï¿½îªï¿½ï¿½ï¿½ç½ï¿½ï¿½ï¿½ï¿½ë¿ï¿½ï¿½ï¿½ô¤ï¿½ï¿½ä»ï¿½ï¿½ï¿½òªï¿½ï¿½ï¿½ë¼â·ï¿½ï¿½ï¿½ó¶ï¿½ê¹ï¿½ï¿½ï¿½ï¿½ê¶ï¿½ï¿½ô¤ï¿½ï¿½ï¿½ï¿½ï¿½ç¿ï¿½ï¿½ãµä±ï¿½è»ï¿½ï¿½ï¿½ô¡ï¿½îªï¿½ï¿½ï¿½ï¿½ð§ï¿½ø¿ï¿½õ¹ï¿½ï¿½ï¿½ã½ï¿½ñ§ï¿½î¶¯ï¿½ï¿½ï¿½ï¿½é¼æ»ï¿½ï¿½ðµä½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ò»ï¿½ã¿ï¿½ö®ç°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½òªï¿½ï¿½ï¿½ï¿½ï¿½ð¾ï¿½ï¿½ì²ä£ï¿½è«ï¿½ï¿½ï¿½ë½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½æ»î¶¯ï¿½ï¿½ï¿½ï¿½é½ï¿½ñ§ô¤ï¿½è¡£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½êµï¿½ä¿ï¿½ï¿½ã½ï¿½ñ§ï¿½ð£ï¿½òªï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ë¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ë£ï¿½ï¿½ï¿½ê±ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ç°ï¿½ï¿½ô¤ï¿½è£¬ï¿½ï¿½ê±ï¿½ï¿½ï¿½ì¡¢ï¿½ï¿½ï¿½ï¿½ï¿½þ¸ä£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ð§ñ§ï°ï¿½ä¿ï¿½ï¿½ï¿½ï¿½é¾³ï¿½ï¿½
�������⣬�ò¸ï¿½ï¿½ï¿½ï¿½ï¿½îªëµï¿½ï¿½òª×¢ï¿½ø¿ï¿½ñ§ï¿½ô¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ô¡ï¿½êµð§ï¿½ô¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ì²ä·ï¿½ï¿½ï¿½ï¿½ï¿½è·ï¿½ï¿½í¸ï¿½ï¿½;ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½í¹û¡ï¿½×¼è·ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½êµï¿½ï¿½;��ñ§ä¿ï¿½ä·ï¿½ï¿½ï´ï¿½ï¿½òªï¿½ó¡¢½ì²ï¿½ï¿½ï¿½ï¿½ýºï¿½ñ§ï¿½ï¿½êµï¿½ï¿½;�ì·ï¿½ï¿½ï¿½æ½ï¿½ï¿½û½ï¿½ñ§ä¿ï¿½ä¡ï¿½ï¿½ï¿½ï¿½ï¿ï¿½ï¿½ï¿½ï¿½øµï¿½ï¿½ñ§ï¿½ï¿½ï¿½øµã¡¢ï¿½ï¿½ï¿½ï¿½ï¿½ú·ï¿½õ¹ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ü£ï¿½ï¿½é²ï¿½ï¿½ï¿½ï¿½ï¿½ç¿ï¿½ï¿½í¬ê±ï¿½ï¿½ï¿½ï¿½òªï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½âµï¿½ï¿½ï¿½ê¶ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ëµï¿½ï¿½ï¿½âµï¿½ë¼â·ï¿½í·ï¿½ï¿½ï¿½ï¿½ï¿½ê¹ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¾ï¿½ï¿½ï¿½ï¿½ï¿½æ¡£
���������ñµï¿½ï¿½ò»ï¿½î¶ï¿½ï¿½ô¼ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ç±ï¿½ï¿½ê¶ï¿½á¹¹"�������죬�ô¼ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½í¨ï¿½ï¿½ï¿½ï¿½ë¼ï¿½ï¿½ï¿½ï¿½ï½ï¿½ï¿½ï¿½êµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½è·ï¿½ë½ï¿½ï¿½ï¿½ï¿½ä·ï¿½ï¿½ï¿½ä¿ï¿½ä£ï¿½ï¿½òµï¿½ï¿½ï¿½êµï¿½ï¿½ä¿ï¿½äµä·ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½é£ï¿½ï¿½ï¿½ï¿½ï¿½ò»ï¿½î³é¹ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ê¤ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ï£ï¿½ï¿½ï¿½ð½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ü¹ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ò»ï¿½ß½ï¿½ê¦ï¿½ï¿½ï¿½á¹©ò»ð©ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½á¡£
数学教师的教学心得篇十六
为期三天的培训在紧张有序中顺利结束,这三天的学习让我收益匪浅,要感谢局领导和校领导的妥善安排,还有双语提供的硬件设施,让我们在舒适的环境里学习。这次培训的内容十分丰富,回顾这几天来的培训学习,我觉得自己深受一次心灵的洗礼,感触颇多。下面就谈谈自培训以来的心得体会。
首先,我们学习了网络教研平台的应用。校园网络教研是指依托现代信息技术手段,开发和利用网上教育资源,建立开放、交互动态的网络教研平台,实现资源的交流与共享,以教育信息化推动教育现代化。在学习中,我们学会了如何上传资源、如何编写教案等,在网络上,你的不足有人纠正,你的优点有人发扬。我们可以更快的进步。
然后,我们听取了一些学校的优秀的备课方法,他们都能根据自身的素质、教材的内容、学生的实际水平等条件,选择备课的方式,形成自己的教学风格,促进自己和专业发展。其中,双堠小学的备课很具体。他们的备课分三个步骤:
一、加强组织领导,制定实施方案,构建“集体备课网络”;
二、重视集体备课过程,有效提高备课质量,先形成初稿,再集体研讨,形成定稿,然后再次备课,形成个案,最后严格落实,检查反馈;
三、落实集体备课活动,促进教师专业成长,有效提高教学质量此文来自优秀斐斐,课件园。他们的备课很有成效,已经成就了一批骨干教师。
最后,这次学习,最令我耳目一新的是听取优秀教师徐长青老师的优质课。徐老师没有借用多媒体,只是用着最传统的教具却上了一节最现代化的课。他的语言幽默,肢体语言丰富,上起课来很有激情,学生了学爱学,下课后都还意犹未尽。这节课课时容量很大,学生却在徐老师的引导下,学得轻松自在,掌握的很好。我要学习徐老师的幽默、激情,在教学中以知识更新为主,发挥自身优势,进一步锤炼教学艺术,增强教改意识,从事教学研究,最终形成属于自己的教学风格。
以上为这次培训的几点体会,短短的三天学习为我充足了电,我将要发光发热,把自己学到的知识变成教学的工具和策略并得以坚定的执行。在暑假开学后一步一个脚印,让自己更上一层楼!
数学教师的教学心得篇十七
绿树阴浓夏日长,楼台倒影入池塘。水晶帘动微风起,满塘荷盛一市香。在市教研室的组织下,我有幸参加了天长市首届小学数学教师培训。通过学习,使我在理论上对教育、教学有了更深层次的认识和体会。在多元化社会背景下,在一个以学习为主题的时代中,市教研室及时的给小学教师提供了学习和交流的平台,为期四天的培训匆匆而过,联系本人的实际谈谈对这次学习的认识。
1、谈谈对备课的认识。
备课是上好课的关键,可以说任何一堂成功的课都是由精心备课而来。随着新课程实践向纵深发展,”教书“这一概念发生了深刻的变化。教师的“教”已不再是单纯传授,讲析,而是引导、组织、参与、讨论等的综合;”书“也不再是单纯的教科书,而是所有的书,包括电视、电影、网络、报刊杂志,特别是生活这部大书。那么新课程背景下的备课也必然发生巨变,谁来备、备什么、怎样备,这些都是教师们亟待解决的问题。王永斌老师的报告《数学教师如何备课》给我们指明了方向,使我们认识到上好一节课的前提是必须备好一节课。
2、谈谈对上课的认识。
在新的教学时代,在今天课改的大环境下,数学教师如何才能上好一节数学课?我认为最重要的是:教师应进行角色转换,应从传统的知识传授者角色向学生的导师、学生自主学习的促进者、课程的开发者、合作者、信息资源的设计和查询者、学生的学术顾问、研究者和学习者等角色转变。我们要向40分钟要质量,追求教学的有效性(即:有效果、有效率、有效益)。卢杰夫老师在他的报告中为我们详细的介绍了如何上好一节课,在当前的课堂教学中教师存在的困惑。以“解决问题”这一教学内容为例,给我们展示了上好一节课的全部过程。当然到底如何上好课,还有更多的方面值得我们每位教师去关注,去思考、去探索,毕竟教育是与我们每个人的生存和发展息息相关的。
3、谈谈如何处理课堂教学预设与生成的关系。
课堂教学是预设与生成的矛盾统一体,充分的预设是课堂教学成功的保障。只有课前精心预设,才能在课堂上动态生成。我们还应该“提倡生成”、“期待生成”,同时也“关注生成”、“驾驭生成”,让学生的问题跟着我们的课堂一起飞翔。曹文香老师的讲稿中以自己的公开课为例为我们讲述了课堂预设的基本要点和思路,从而使我认识到预设性是课堂的必然属性。为了有效地开展课堂教学活动,完成计划中的教与学的任务,在上一堂课之前,我们要深入研究教材,全面了解学生,精心设计活动,完成教学预设。但在真实的课堂教学中,要因地制宜、因情制宜,随时调整课前的预设,即时创造、即兴修改,创设有利于学生有效学习的课堂情境。
另外,我个人认为说课要注重科学性、创新性、实效性。做到教材分析正确、透彻;学情分析客观、准确,符合实际;教学目的符合大纲要求、教材内容和学生实际;教法设计紧扣教学目的、符合课型特点和学科特点、有利于发展学生智能,可操作性强。同时,还要树立创新的意识和勇气,说出新的思路和方法,使听者有所启示和收益。
这次培训是一次对自己“教育潜意识结构"的深层改造,自己在学习中通过反思,结合教育实践,明确了教育的方向、目的,找到了实现目的的方法技巧,这是一次成功的学习,胜利的学习,希望市教研室能够给我们一线教师多提供一些这样的学习机会。
数学教师的教学心得篇十八
����îªï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñµï¿½ú½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ë³ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ç³ï¿½ï¿½òªï¿½ï¿½ð»ï¿½ï¿½ï¿½ìµ¼ï¿½ï¿½ð£ï¿½ìµ¼ï¿½ï¿½ï¿½ï¿½ï¿½æ°ï¿½ï¿½å£ï¿½ï¿½ï¿½ï¿½ï¿½ë«ï¿½ï¿½ï¿½á¹©ï¿½ï¿½ó²ï¿½ï¿½ï¿½ï¿½ê©ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½êµä»ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê®ï¿½ö·á¸»ï¿½ï¿½ï¿½ø¹ï¿½ï¿½â¼¸ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñµñ§ï°ï¿½ï¿½ï¿½ò¾ï¿½ï¿½ï¿½ï¿½ô¼ï¿½ï¿½ï¿½ï¿½ï¿½ò»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï´ï¿½ñ£¬¸ð´ï¿½ï¿½ä¶à¡£ï¿½ï¿½ï¿½ï¿½ï¿½ì¸ì¸ï¿½ï¿½ï¿½ï¿½ñµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½äµï¿½ï¿½ï¿½á¡£
�������è£ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½æ½ì¨ï¿½ï¿½ó¦ï¿½ã¡ï¿½ð£ô°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ö¸ï¿½ï¿½ï¿½ï¿½ï¿½ö´ï¿½ï¿½ï¿½ï¢ï¿½ï¿½ï¿½ï¿½ï¿½ö¶î£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï½ï¿½ï¿½ï¿½ï¿½ï¿½ô´ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½å¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ì¬ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½æ½ì¨ï¿½ï¿½êµï¿½ï¿½ï¿½ï¿½ô´ï¿½ä½ï¿½ï¿½ï¿½ï¿½ë¹²ï¿½ï¿½ï¿½ï¿½ï¿½ô½ï¿½ï¿½ï¿½ï¿½ï¿½ï¢ï¿½ï¿½ï¿½æ¶ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ö´ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ð£ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï´ï¿½ï¿½ï¿½ô´ï¿½ï¿½ï¿½ï¿½î±ï¿½ð´ï¿½ì°ï¿½ï¿½è£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï£ï¿½ï¿½ï¿½ä²ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ë¾ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½åµï¿½ï¿½ï¿½ï¿½ë·ï¿½ï¿½ï¡£ï¿½ï¿½ï¿½ç¿ï¿½ï¿½ô¸ï¿½ï¿½ï¿½ä½ï¿½ï¿½ï¿½ï¿½ï¿½
����è»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½è¡ï¿½ï¿½ò»ð©ñ§ð£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ä±ï¿½ï¿½î·ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ç¶ï¿½ï¿½ü¸ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¡ï¿½ï¿½ì²äµï¿½ï¿½ï¿½ï¿½ý¡ï¿½ñ§ï¿½ï¿½ï¿½ï¿½êµï¿½ï¿½ë®æ½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ¡ï¿½ñ±¸¿îµä·ï¿½ê½ï¿½ï¿½ï¿½î³ï¿½ï¿½ô¼ï¿½ï¿½ä½ï¿½ñ§ï¿½ï¿½ñ£¬´ù½ï¿½ï¿½ô¼ï¿½ï¿½ï¿½×¨òµï¿½ï¿½õ¹ï¿½ï¿½ï¿½ï¿½ï¿½ð£ï¿½ë«ü©ð¡ñ§ï¿½ä±ï¿½ï¿½îºü¾ï¿½ï¿½å¡£ï¿½ï¿½ï¿½çµä±ï¿½ï¿½î·ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½è£º
����ò»ï¿½ï¿½ï¿½ï¿½ç¿ï¿½ï¿½ö¯ï¿½ìµ¼ï¿½ï¿½ï¿½æ¶ï¿½êµê©ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½å±¸ï¿½ï¿½ï¿½ï¿½ï¿½ç¡±ï¿½ï¿½
�����������ó¼ï¿½ï¿½å±¸ï¿½î¹ï¿½ï¿½ì£ï¿½ï¿½ï¿½ð§ï¿½ï¿½ß±ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½î³é³ï¿½ï¿½å£¬ï¿½ù¼ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ö£ï¿½ï¿½î³é¶ï¿½ï¿½å£¬è»ï¿½ï¿½ï¿½ù´î±ï¿½ï¿½î£ï¿½ï¿½î³é¸ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¸ï¿½ï¿½ï¿½êµï¿½ï¿½ï¿½ï¿½é·´ï¿½ï¿½ï¿½ï¿½
����������êµï¿½ï¿½ï¿½å±¸ï¿½î»î¶¯ï¿½ï¿½ï¿½ù½ï¿½ï¿½ï¿½ê¦×¨òµï¿½é³ï¿½ï¿½ï¿½ï¿½ï¿½ð§ï¿½ï¿½ß½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½,�î¼ï¿½ô°ï¿½ï¿½ï¿½ï¿½ï¿½çµä±ï¿½ï¿½îºï¿½ï¿½ð³ï¿½ð§ï¿½ï¿½ï¿½ñ¾ï¿½ï¿½é¾ï¿½ï¿½ï¿½ò»ï¿½ï¿½ï¿½ç¸é½ï¿½ê¦ï¿½ï¿½
����������ñ§ï°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ò¶ï¿½ä¿ò»ï¿½âµï¿½ï¿½ï¿½ï¿½ï¿½è¡ï¿½ï¿½ï¿½ï¿½ï¿½ê¦ï¿½ì³¤ï¿½ï¿½ï¿½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½ï¿½ê¿î¡ï¿½ï¿½ï¿½ï¿½ï¿½ê¦ã»ï¿½ð½ï¿½ï¿½ã¶ï¿½ã½ï¿½å£¬ö»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½î´«í³ï¿½ä½ì¾ï¿½è´ï¿½ï¿½ï¿½ï¿½ò»ï¿½ï¿½ï¿½ï¿½ï¿½ö´ï¿½ï¿½ï¿½ï¿½ä¿î¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ä¬ï¿½ï¿½ö«ï¿½ï¿½ï¿½ï¿½ï¿½ô·á¸»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ð¼ï¿½ï¿½é£¬ñ§ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ñ§ï¿½ï¿½ï¿½â¿îºó¶¼»ï¿½ï¿½ï¿½ï¿½ï¿½î´ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ú¿î¿ï¿½ê±ï¿½ï¿½ï¿½ï¿½ï¿½ü´ï¿½ñ§ï¿½ï¿½è´ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½â£ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ú£ï¿½ï¿½ï¿½ï¿½õµäºüºã¡ï¿½ï¿½ï¿½òªñ§ï°ï¿½ï¿½ï¿½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½ä¬ï¿½ï¿½ï¿½ï¿½ï¿½é£¬ï¿½ú½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½öªê¶ï¿½ï¿½ï¿½ï¿½îªï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½æ£ï¿½ï¿½ï¿½ò»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ç¿ï¿½ì¸ï¿½ï¿½ï¿½ê¶ï¿½ï¿½ï¿½ï¿½ï¿½â½ï¿½ñ§ï¿½ð¾ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½î³ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ô¼ï¿½ï¿½ä½ï¿½ñ§ï¿½ï¿½ï¿½
��������îªï¿½ï¿½ï¿½ï¿½ï¿½ñµï¿½ä¼ï¿½ï¿½ï¿½ï¿½ï¿½á£¬ï¿½ì¶ìµï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°îªï¿½ò³ï¿½ï¿½ï¿½ï¿½ëµç£¬ï¿½ò½ï¿½òªï¿½ï¿½ï¿½â·¢ï¿½è£ï¿½ï¿½ï¿½ï¿½ô¼ï¿½ñ§ï¿½ï¿½ï¿½ï¿½öªê¶ï¿½ï¿½é½ï¿½ñ§ï¿½ä¹ï¿½ï¿½ßºí²ï¿½ï¿½ô²ï¿½ï¿½ï¿½ï¿½ô¼á¶¨ï¿½ï¿½ö´ï¿½ð¡ï¿½ï¿½ï¿½ï¿½ï¿½ù¿ï¿½ñ§ï¿½ï¿½ò»ï¿½ï¿½ò»ï¿½ï¿½ï¿½ï¿½ó¡ï¿½ï¿½ï¿½ï¿½ï¿½ô¼ï¿½ï¿½ï¿½ï¿½ï¿½ò»ï¿½ï¿½â¥ï¿½ï¿½
数学教师的教学心得篇十九
在这一段时间的培训中,我比较认真地看了各位专家对于小学数学新课标的解读,尤其对他们讲解的小学数学教学中各个方面的问题、今后改善的措施、办法进行了深刻的理解和领悟。确实收获不小,感觉自己在日常工作中还存在很多不足。我们仅仅在自己的一个狭小范围内计划着自己的工作。透过这次培训,我有如下感想:
我们要在今后的教学中继续彻底改变自己。这次学习使我的思想有了更深层次的转变。作为一名小学数学教师,务必具有渊博的知识,良好的思维品质,这些还远远不够。我们要在数学学习探究过程中,不再把数学知识的传授作为自己的主要教学任务和目的,也不再把主要精力花费在检查学生对知识掌握的程度上,而是要成为学习群众中的成员,在问题面前教师和学生们一齐寻找答案,在探究数学的道路上教师成为学生的伙伴和朋友。
面向全体学生我们应做到:
1、创设各种情景,鼓励学生大胆地实践,对他们在学习过程中的失误和错误采取宽容的态度;
2、为学生带给自主学习和直接交流的机会,以及充分表现和自我发展的一个空间;
3、鼓励学生透过体验、实践、合作、探索等方式,发展听、说、读、写的综合潜力;
4、创造条件让学生能够探究他们自己的一些问题,并自主解决问题。
学生只有对自己、对学科及其文化有用心的情态,才能持续学习的动力并取得成绩,刻板的情态,不仅仅会影响学习的效果,还会影响其它发展,因此我们要努力创造宽松民主、和谐的教学空间。关注学生我们应做到:
1、尊重每个学生,用心鼓励他们在学习中的尝试,保护他们的自尊心和用心性;
2、把教学与情态有机地结合起来,创造各种合作学习的活动,促进学生互相学习,互相帮忙,体验成就感,发展合作精神;
3、关注学习有困难的或性格内向的学习,尽可能地为他们创造语言的机会;
4、建立融洽、民主的师生交流渠道,经常和学生一齐反思学习过程和学习效果,互相鼓励和帮忙,做到教学相关。
新课程强调“数学教育要从以获取知识为首要目标转变为首先关注人的发展”、“转变为首先关注每一个学生的情感、态度、价值观和一般潜力的发展”。在此,个性需要指出的是:数学教育中学生“情感、态度、价值观”的发展应是与其数学知识与技能方面的学习直接相联系的,也即在两者之间存在内存的、必然的联系,而不是某种外在的、牵强附会的、偶然的成分。因此,我们无疑应当强调透过数学教学帮忙学生树立在数学学习上的自信心,但是这绝不是指数学学习应当成为一种毫不费劲的“愉快学习”,我们应当努力增强学生对于数学学习过程中艰苦困难的承受潜力,从而也就能够透过刻苦学习真切地体会到更高层次上的快乐。这也是中国数学教育优良传统的一个重要组成成分。
对学生学习策略进行指导,即让他们在学习和使用的过程中逐步学会如何学习。那么,指导学生学习策略我们应做到:
1、用心创造条件,让学生参与到阶段性学习目标,以及实现目标的方法;
2、引导学生采用推测、查阅和协调的方法进行学习;
3、引导学生在学习过程中,进行自我评价,并根据需要调整自己的学习目标和学习策略。
新课程改革不是说说而已,务必要与实践相结合,即将努力学习,用心进取,用心参与课程改革,在课堂实践教学中不断摸索,不断学习,不断实践,不断反思。我乐于参与远程研修,我也乐于与广大同仁们共同成长,我也更乐于实践课堂教学。
“三人行,必有我师焉”,在培训中,各位老师都能用心提出自己遇见的问题,也能毫不保留地讲出自己对某一问题的看法认识。对班里成员提出的问题能认真讨论,各抒己见,有利于改善我们的教学,提高我们的业务水平。
时代要求我们务必进步,相信在以后的工作中,我会更努力地在先进理论的指引下大力改善我的工作。
数学教师的教学心得篇二十
��������ò»ï¿½ï¿½ê±ï¿½ï¿½ï¿½ï¿½ï¿½ñµï¿½ð£ï¿½ï¿½ò±è½ï¿½ï¿½ï¿½ï¿½ï¿½ø¿ï¿½ï¿½ë¸ï¿½î»×¨ï¿½ò¶ï¿½ï¿½ï¿½ð¡ñ§ï¿½ï¿½ñ§ï¿½â¿î±ï¿½ä½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ç½ï¿½ï¿½ï¿½ï¿½ð¡ñ§ï¿½ï¿½ñ§ï¿½ï¿½ñ§ï¿½ð¸ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½â¡¢ï¿½ï¿½ï¿½ï¿½ï¿½æµä´ï¿½ê©ï¿½ï¿½ï¿½ì·¨ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ìµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½è·êµï¿½õ»ï¿½ð¡ï¿½ï¿½ï¿½ð¾ï¿½ï¿½ô¼ï¿½ï¿½ï¿½ï¿½õ³ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ð»ï¿½ï¿½ï¿½ï¿½úºü¶à²»ï¿½ã¡£ï¿½ï¿½ï¿½ç½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ô¼ï¿½ï¿½ï¿½ò»ï¿½ï¿½ï¿½ï¿½ð¡ï¿½ï¿½î§ï¿½ú¼æ»ï¿½ï¿½ï¿½ï¿½ô¼ï¿½ï¿½ä¹ï¿½ï¿½ï¿½ï¿½ï¿½í¸ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½â¸ï¿½ï¿½ë£º
����
��������òªï¿½ú½ï¿½ï¿½ä½ï¿½ñ§ï¿½ð¼ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½×¸ä±ï¿½ï¿½ô¼ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ê¹ï¿½òµï¿½ë¼ï¿½ï¿½ï¿½ï¿½ï¿½ë¸ï¿½ï¿½ï¿½ï¿½îµï¿½×ªï¿½ä¡£ï¿½ï¿½îªò»ï¿½ï¿½ð¡ñ§ï¿½ï¿½ñ§ï¿½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½ø¾ï¿½ï¿½ï¿½ô¨ï¿½ï¿½ï¿½ï¿½öªê¶ï¿½ï¿½ï¿½ï¿½ï¿½ãµï¿½ë¼î¬æ·ï¿½ê£ï¿½ï¿½ï¿½ð©ï¿½ï¿½ô¶ô¶ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½òªï¿½ï¿½ï¿½ï¿½ñ§ñ§ï°ì½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ð£ï¿½ï¿½ï¿½ï¿½ù°ï¿½ï¿½ï¿½ñ§öªê¶ï¿½ä´ï¿½ï¿½ï¿½ï¿½ï¿½îªï¿½ô¼ï¿½ï¿½ï¿½ï¿½ï¿½òªï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ä¿ï¿½ä£ï¿½ò²ï¿½ï¿½ï¿½ù°ï¿½ï¿½ï¿½òªï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ú¼ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½öªê¶ï¿½ï¿½ï¿½õµä³ì¶ï¿½ï¿½ï£ï¿½ï¿½ï¿½ï¿½ï¿½òªï¿½ï¿½îªñ§ï°èºï¿½ï¿½ï¿½ðµä³ï¿½ô±ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ç°ï¿½ï¿½ê¦ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ò»ï¿½ï¿½ñ°ï¿½ò´ð°¸£ï¿½ï¿½ï¿½ì½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½äµï¿½â·ï¿½ï½ï¿½ê¦ï¿½ï¿½îªñ§ï¿½ï¿½ï¿½ä»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ¡ï¿½
����
��������è«ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ó¦ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½
����1����������龰������ñ§ï¿½ï¿½ï¿½óµ¨µï¿½êµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½ï¿½ðµï¿½ê§ï¿½ï¿½í´ï¿½ï¿½ï¿½ï¿½è¡ï¿½ï¿½ï¿½ýµï¿½ì¬ï¿½è£ï¿½
����2��îªñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ö±ï¿½ó½ï¿½ï¿½ï¿½ï¿½ä»ï¿½ï¿½á£¬ï¿½ô¼ï¿½ï¿½ï¿½ö±ï¿½ï¿½öºï¿½ï¿½ï¿½ï¿½ò·ï¿½õ¹ï¿½ï¿½ò»ï¿½ï¿½ï¿½õ¼ä£»
����3������ñ§ï¿½ï¿½í¸ï¿½ï¿½ï¿½ï¿½ï¿½é¡¢êµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ì½ï¿½ï¿½ï¿½è·ï¿½ê½ï¿½ï¿½ï¿½ï¿½õ¹ï¿½ï¿½ï¿½ï¿½ëµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ð´ï¿½ï¿½ï¿½ûºï¿½ç±ï¿½ï¿½ï¿½ï¿½
����4������������ñ§ï¿½ï¿½ï¿½ü¹ï¿½ì½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ô¼ï¿½ï¿½ï¿½ò»ð©ï¿½ï¿½ï¿½â£¬ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½â¡£
����
����ñ§ï¿½ï¿½ö»ï¿½ð¶ï¿½ï¿½ô¼ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½æ¼ï¿½ï¿½ï¿½ï¿½ä»ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½äµï¿½ï¿½ï¿½ì¬ï¿½ï¿½ï¿½ï¿½ï¿½ü³ï¿½ï¿½ï¿½ñ§ï°ï¿½ä¶ï¿½ï¿½ï¿½ï¿½ï¿½è¡ï¿½ã³é¼ï¿½ï¿½ï¿½ï¿½ì°ï¿½ï¿½ï¿½ï¿½ì¬ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ó°ï¿½ï¿½ñ§ï°ï¿½ï¿½ð§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ó°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½õ¹ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½òªå¬ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ð³ï¿½ä½ï¿½ñ§ï¿½õ¼ä¡£ï¿½ï¿½×¢ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ó¦ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½
����1������ã¿ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ä¹ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ðµä³ï¿½ï¿½ô£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½çµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½äºï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ô£ï¿½
����2���ñ½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ì¬ï¿½ð»ï¿½ï¿½ø½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½öºï¿½ï¿½ï¿½ñ§ï°ï¿½ä»î¶¯ï¿½ï¿½ï¿½ù½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ã¦ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½é¾í¸ð£ï¿½ï¿½ï¿½õ¹ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½
����3����עñ§ï°ï¿½ï¿½ï¿½ï¿½ï¿½ñµä»ï¿½ï¿½ô¸ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½üµï¿½îªï¿½ï¿½ï¿½ç´ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ôµä»ï¿½ï¿½á£»
����4��������ç¢ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ò»ï¿½ë·´ë¼ñ§ï°ï¿½ï¿½ï¿½ìºï¿½ñ§ï°ð§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½í°ï¿½ã¦ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ø¡ï¿½
����
�����â¿î³ï¿½ç¿ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½òªï¿½ï¿½ï¿½ô»ï¿½è¡öªê¶îªï¿½ï¿½òªä¿ï¿½ï¿½×ªï¿½ï¿½îªï¿½ï¿½ï¿½è¹ï¿½×¢ï¿½ëµä·ï¿½õ¹ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½×ªï¿½ï¿½îªï¿½ï¿½ï¿½è¹ï¿½×¢ã¿ò»ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ð¡ï¿½ì¬ï¿½è¡ï¿½ï¿½ï¿½öµï¿½ûºï¿½ò»ï¿½ï¿½ç±ï¿½ï¿½ï¿½ä·ï¿½õ¹ï¿½ï¿½ï¿½ï¿½ï¿½ú´ë£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½òªö¸ï¿½ï¿½ï¿½ï¿½ï¿½ç£ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ð¡ï¿½ì¬ï¿½è¡ï¿½ï¿½ï¿½öµï¿½û¡ï¿½ï¿½ä·ï¿½õ¹ó¦ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§öªê¶ï¿½ë¼¼ï¿½ü·ï¿½ï¿½ï¿½ï¿½ñ§ï°ö±ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ïµï¿½ä£ï¿½ò²ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ö®ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ú´ï¿½ä¡ï¿½ï¿½ï¿½è»ï¿½ï¿½ï¿½ï¿½ïµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ä³ï¿½ï¿½ï¿½ï¿½ï¿½úµä¡ï¿½ç£ç¿ï¿½ï¿½ï¿½ï¿½ä¡ï¿½å¼è»ï¿½ä³é·ö¡ï¿½ï¿½ï¿½ë£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ó¦ï¿½ï¿½ç¿ï¿½ï¿½í¸ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ñ§ï¿½ï¿½ã¦ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ñ§ï°ï¿½ïµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ä£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ö¸ï¿½ï¿½ñ§ñ§ï°ó¦ï¿½ï¿½ï¿½ï¿½îªò»ï¿½öºï¿½ï¿½ï¿½ï¿½ñ¾ï¿½ï¿½ä¡ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ó¦ï¿½ï¿½å¬ï¿½ï¿½ï¿½ï¿½ç¿ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ñ§ï°ï¿½ï¿½ï¿½ï¿½ï¿½ð¼ï¿½ï¿½ï¿½ï¿½ï¿½ñµä³ï¿½ï¿½ï¿½ç±ï¿½ï¿½ï¿½ï¿½ï¿½ó¶ï¿½ò²ï¿½ï¿½ï¿½ü¹ï¿½í¸ï¿½ï¿½ï¿½ì¿ï¿½ñ§ï°ï¿½ï¿½ï¿½ðµï¿½ï¿½ï¿½áµ½ï¿½ï¿½ï¿½ß²ï¿½ï¿½ï¿½ïµä¿ï¿½ï¿½ö¡ï¿½ï¿½ï¿½ò²ï¿½ï¿½ï¿½ð¹ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½í³ï¿½ï¿½ò»ï¿½ï¿½ï¿½ï¿½òªï¿½ï¿½é³é·ö¡ï¿½
����
������ñ§ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ô½ï¿½ï¿½ï¿½ö¸ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ê¹ï¿½ãµä¹ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½ã´ï¿½ï¿½ö¸ï¿½ï¿½ñ§ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ó¦ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½
����1�����ä´ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ëµ½ï¿½×¶ï¿½ï¿½ï¿½ñ§ï°ä¿ï¿½ê£¬ï¿½ô¼ï¿½êµï¿½ï¿½ä¿ï¿½ï¿½ä·ï¿½ï¿½ï¿½ï¿½ï¿½
����2������ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½æ²â¡¢ï¿½ï¿½ï¿½äºï¿½ð���ä·ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½
����3������ñ§ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½ï¿½ð£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½û£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½òªï¿½ï¿½ï¿½ï¿½ï¿½ô¼ï¿½ï¿½ï¿½ñ§ï°ä¿ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ô¡ï¿½
�����â¿î³ì¸ä¸ï²»ï¿½ï¿½ëµëµï¿½ï¿½ï¿½ñ£ï¿½ï¿½ï¿½ï¿½òªï¿½ï¿½êµï¿½ï¿½ï¿½ï¿½ï¿½ï£ï¿½ï¿½ï¿½ï¿½ï¿½å¬ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½ï¿½ä½ï¿½è¡ï¿½ï¿½ï¿½ï¿½ï¿½ä²ï¿½ï¿½ï¿½î³ì¸ä¸ï£¬ï¿½ú¿ï¿½ï¿½ï¿½êµï¿½ï¿½ï¿½ï¿½ñ§ï¿½ð²ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñ§ï°ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½êµï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï·ï¿½ë¼ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ú²ï¿½ï¿½ï¿½ô¶ï¿½ï¿½ï¿½ï¿½ï¿½þ£ï¿½ï¿½ï¿½ò²ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½í¬ï¿½ï¿½ï¿½ç¹ï¿½í¬ï¿½é³ï¿½ï¿½ï¿½ï¿½ï¿½ò²ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½êµï¿½ï¿½ï¿½ï¿½ï¿½ã½ï¿½ñ§ï¿½ï¿½
����
�����������ð£ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ê¦ï¿½é¡ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ñµï¿½ð£ï¿½ï¿½ï¿½î»ï¿½ï¿½ê¦ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ô¼ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½â£¬ò²ï¿½üºï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ø½ï¿½ï¿½ï¿½ï¿½ô¼ï¿½ï¿½ï¿½ä³ò»ï¿½ï¿½ï¿½ï¿½ä¿ï¿½ï¿½ï¿½ï¿½ï¿½ê¶ï¿½ï¿½ï¿½ô°ï¿½ï¿½ï¿½ï¿½ô±ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½û£ï¿½ï¿½ï¿½ï¿½ã¼ºï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ú¸ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½çµä½ï¿½ñ§ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½çµï¿½òµï¿½ï¿½ë®æ½ï¿½ï¿½
����ê±ï¿½ï¿½òªï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ø½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ôºï¿½ä¹ï¿½ï¿½ï¿½ï¿½ð£ï¿½ï¿½ò»ï¿½ï¿½å¬ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½è½ï¿½ï¿½ï¿½ï¿½ûµï¿½ö¸ï¿½ï¿½ï¿½â´ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½ï¿½òµä¹ï¿½ï¿½ï¿½ï¿½ï¿½