王静
重庆市渝北区鲁能巴蜀小学 401120
【摘要】
由于新冠疫情引发的全国小学生为期约3个月的线上学习带给了一线数学教师对于小学数学未来学习新形态的思考、探索和实践。本文从“利用微课和导学单引导课前预习”、“用AppleTV+iPad优化课堂学习”和“用新加坡数学开阔数学视野”这三个方面实现对疫情前小学数学课堂的一些优化和变革。
【关键词】
微课、导学单、翻转课堂、新加坡数学
因为新型冠状病毒肺炎疫情,全国的师生历经了大约3个月的在家线上学习,让教学和学习方式突然发生了彻底的变化。信息技术和网课一下子颠覆了传统的教学和学习方式,对老师和学生都提出了巨大的挑战。经受住了考验,挑战就是变革课堂教学的机会,因为我们看到了信息技术和网课的优势以及对我们课堂教学的助力。如何把这些很好的资源和技术与传统的课堂教学相结合,提高课堂教学效率,是我从复课后一直在思考的问题和尝试、研究的方向,也取得了一些好的效果。
一、利用微课和导学单引导课前预习
信息化时代背景下产生的微课,最早是由美国学者著名学者戴维?彭罗斯提出。他认为微课既是一种可以传授知识的工具,而且还能够当作知识的脉冲。在疫情的线上学习期间,国家推出了“国家中小学网络云平台”,上面有各科优秀教师的同步微课,既是好的学习资源,也是优秀的教学参考。为了让预习更有目标,同时还使用了预习导学单,如下图所示。以《100以内的不退位减法》的预习导学单为例,它由6个部分组成:学习内容、学习准备、学习目标、学习重难点、自学导航和分享评价。在设计导学单时,需要把教学目标转化成学习目标。学生带着目标看微课和教材,预习就更高效。学习重难点也是从学生的角度提出,不仅可以帮助学生预习,还可以让他们在课堂学习时根据自己的情况有的放矢地学习,提高学习效率。自学导航部分的设计不仅要突出重点、突破难点,而且还要引导学生对微课中有价值的内容进行梳理。分享评价部分是学生对预习收获的整理和对自己自学情况的评价。带着收获和疑问进入第二天的课堂学习,学生会有话可说,有问题要解决。如果有不理解的地方,可以回看。对于学习比较困难的学生,通过预习,可以缩小和其他同学的差距,有利于建立其自信心。新课的课堂教学设计是建立在孩子们已经观看了微课并完成了导学单的预习的基础上。
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)
以上所述是借助“翻转课堂”的学习方式来做课前预习。英特尔全球教育总监Brian Gonzalez在一对一数字化年会上声称“颠倒的教室(‘翻转课堂’的另一种表述)是指教育者赋予学生更多的自由,把知识传授的过程放在教室外,让学生选择最适合自己的方式接受新知识,而把知识内化的过程放在教室内,以便同学之间,学生和教师之间有更多的沟通和交流。”这种观点得到国内不少学者的相应。如华东师范大学的田爱丽教授就认为[1],“翻转课堂更加符合学生的学习规律,是先学后教的一种形式;相对于一般导学形式的先学后教,微观视频学习更加生动活泼,……视频学习可以取代教师的知识讲解;而学生最需要教师帮助的时候是做作业遇到困难和迷惑的时候,翻转课堂更能实现这一点。”河南师范大学的张新明等人则进一步指出[2],“翻转课堂的两个关键点:第一,课外真正发生了深入的学习;第二,高效利用课堂时间进行学习经验的交流与观点的相互碰撞能够深化学生的认知。
二、用AppleTV+iPad优化课堂学习
数学课堂上几乎每节课都会用到PPT,有时候教师需要在课件上做批注或笔记。有些内容可以课前预设,提前做在PPT上,但还有些内容是现场生成的,怎么解决这个问题呢?在练习环节,经常需要展示、评讲学生的作业,很多时候还需要在作业上进行批改。投影仪可以实现这个任务,局限性就是老师或学生只能在投影仪旁书写,书写既不方便,姿势也不美观,这个问题可以解决吗?通过了解、比较和尝试,发现AppleTV+iPad进行屏幕投屏可以解决这两个问题,而且还可以对小组合作学习的成果展示进行现场直播。例如,在《认识立体图形》的课中,有一个环节是让孩子们小组合作探究长方体、正方体、圆柱和球的特点。孩子们通过推动各种形状的积木发现,长方体、正方体的六个面都是平面,它们只能移动,球是曲面,它可以朝四面八方滚动。圆柱既有平面又有曲面,它既可以移动,也可以滚动。在小组汇报的时候,让孩子们把这个发现进行演示并同时用iPad投影到大屏幕上让全班同学都看到,这种直观的效果比抽象的语言更能让学生理解。
三、用新加坡数学开阔数学视野
通过开设班本课程“Mathematics In English”(学小学数学的专业英语,做英语表达的数学练习。)来拓宽孩子们的数学视野,丰富对数学的理解。我们采用的是新加坡现行的小学数学教材和配套的练习册,选择和我们教材相对应的内容同步教学。通过学习,孩子们能用英语规范地表达自己的思路或想法,例如,在笔算28+5=时,可以这样想:Add the ones,8 ones + 5 ones=13 ones.Regroup the ones, 13 ones = 1 ten 3 ones. Add the tens, 1 ten + 2 tens = 3 tens.(先加个位,8个一加5个一等于13个一;重组个位,13个一等于1个十和3个一;再加十位,1个十加2个十等于3个十。)从小培养学生用规范的数学语言表达自己的想法有助于他们思维能力和语言表达能力的提升。这里用“regroup”一词表达出了进位的本质。在后面的退位减法中,也用到了“regroup”这个词,因为无论是进位还是退位,其本质的都是对计数单位进行重组,数学语言真是很奇妙啊!
我们开设了微信公众号,上面有我们对每个学习主题录制的微课及预习指导,孩子们通过翻转课堂的方式进行学习。
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)
新加坡数学的练习除了基础练习以外,还有Reason(推理)、Problem Solving(解决问题)和Challenge(挑战)部分,题目设计既有层次又有趣,有些题目是我们的课本练习上没有见过的,让老师和学生都产生了新鲜感,孩子们喜欢做。他们觉得自己还能做外国小朋友的数学作业,满满的成就感呢。
在继承的基础上创新,创新是为了让小学数学课堂学习更高效,教师需要找到创新的生长点和发展方向,这也是正是探索未来学习新形态的目的所在。面向未来,基于本来,才是我们希望到达的将来。
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