400-060-0103

青岛赫德双语国际学校小学数学思维训练课程:巧用这项“神器”,数学原来也可以“很好玩”!

来源:青岛赫德双语国际学校 时间:06-01

青岛赫德双语国际学校小学数学思维训练课程:巧用这项“神器”,数学原来也可以“很好玩”!

数学在很多孩子的眼中是一门抽象又枯燥的学科,但是,你知道吗?如果能够用对学习方法,数学也能够凭借其自身强大的系统性,成为一门好玩、实用又融合的学科。今天,青岛赫德小学部数学老师王培德,就要和大家分享,赫德的数学课,是如何用思维导图让孩子爱上学习的,让我们一同来探索其中的秘诀吧!

本文由青岛赫德小学部数学老师王培德供稿

思维导图又被称为“脑图”、“心智地图”等,是表达发散性思维的有效图形思维工具,它虽简单却具有很强的实用性。

思维导图能够利用图文并茂的形式,把各级主题的关系用相互隶属与相关的层级图表现出来,把主题关键词与图像、颜色等建立记忆链接,充分运用左右脑的机能,利用记忆、阅读、思维的规律协助人们在科学与艺术、逻辑与想象之间平衡发展,从而开发人类大脑的无限潜能。

可以说,思维导图是一种将思维形象化的方法。

青岛赫德的数学课始终从孩子们的立场出发,带领孩子们追本溯源,探究数学知识的生发过程,领略知识背后的魅力。

相对于传统教学,赫德数学课在课程安排上有很大的创新,按照不同的功能和实施阶段,划分为目录课、单元开启课、自主研讨课、整理反思课、主题项目课、交流展示课共六大课型,每种课型都发挥着极其重要的作用,将数学知识的学习和巩固串联了起来。

在教学中,我们极为重视培养学生的数学眼光、渗透数学文化、提高数学阅读。同时,也注重引导学生探究知识的纵向与延伸,将零散的知识点逐步整理成一套紧密的数学网络,感受数学的发展与内在关联,逐渐内化为数学思维。

但是,不得不说,在实际的教学过程中,由于小学生的思维逻辑与推理能力都比较弱,经常会在学习的过程中出现机械性记忆的缺陷,这在很大程度上增加了学生的学习难度和老师的教学压力。而合理地运用思维导图来帮助学生构建知识体系,对学生学习效率和教学效率的提升都有着非常重要的促进作用。

基于这样的思考,思维导图便被灵活应用到了不同课型之中,让孩子们能够从整体上更多地感知和触摸数学,更大程度地提高了孩子们的学习兴趣,同时在紧张的课时安排之下,也提高了效率,节省了时间。

以下图的一节线上课程为例,看似比较简单的问题,但是背后却隐藏着数的分类、组合以及转化等多个复杂的问题。如果没有使用数学设计思维进行思考的习惯,学生们在刚看到这样的题目时,往往很难形成一个清晰的解题思路。这时,引导学生通过思维导图梳理解题思路,从而解决问题便是一个很好的途径。

首先,我和孩子们先把两个小数点放在一边,把小数的问题转化为整数来研究。

第二步

然后,我们将需要探讨的问题用思维导图来呈现,即和、和最小、差、差最小,明确了这4个问题之后,我开始带领同学们逐一研讨每一个问题。

第三步

在整数的情况下,我们很容易想到,相加和的两个数是3和4,那这两个数有什么特点呢?就是2个数都是给出的数字里的。以此类推,再去研究和最小的2个数字的特点,可以看出2个数都是最小的;而差最小的2个数的特点是2个数字最接近;差的2个数的特点是必须1个数字,一个数字最小。我们把这整个推理的探讨的过程,以及探讨出的数字特点,都通过思维导图的形式进行展示。

第四步

明确了每个问题之下,所选定的数字的特点之后,我们便可以从整数计算再推理到小数计算。以差这个问题来看,整数情况下,我们探讨出的2个数字的特征是,满足2个数字一个是的,一个是最小的,这样的条件。那题面中,能组合出的数字为4.3,最小数字为1.2,他们的差便是的。

就这样,虽说对孩子们来说是一个比较复杂的问题,但是整个解题的思维过程一目了然,并且再次看到思维导图时,他们还能够自我复盘。

孩子们一旦养成了这样的思考习惯,以后每次遇到问题时,能能够有条不紊地进行分析推理,最终解决问题。甚至,这样的数学思维,不单单能够应用在数学解题过程中,还能够应用于解决生活中各种各样的实际问题。

从某种意义上来说,思维导图就像给了孩子自主思考、自主解决问题的一架梯子,孩子们遇到问题,能够借助这个工具,一步一步向前探索,并最终到达目的地,或者说找到答案及解决问题的方法。

思维导图在数学课中的应用

在学期初的目录课教学时,思维导图的结合,不仅让孩子们清晰地了解了本学期要学习的内容,还让他们从结构体系、思想方法上进一步建立起关联。

单元开启课也是在知识方法、思想、文化背景方面用思维导图呈现。而有时也会让同学们在已有建构的基础上完成思维导图或者直接自己来绘制。

用思维导图来设计在线课堂的任务单,让孩子们一目了然,乐于接受。

整理反思课时,孩子们用思维导图做整理与反思,既梳理了知识结构、思想方法,又从内心感到数学的好玩与魅力。孩子们在接触了这种方式之后,自己便开启了创作之旅。

用思维导图讲数学,是非常容易抓住孩子们的眼球和注意力的。在线上课堂中,我经常会给同学们分享一些复杂的、有挑战的数学任务,每次在我用思维导图帮着孩子们进行梳理之后,孩子们总会反馈说:“阿德老师,我发现数学越来越好玩了!”

给孩子们一个方法,也给孩子们一个工具——思维导图撬起了孩子们的学习兴趣。在赫德,数学课从来都不是枯燥无味的计算,而是充满乐趣和挑战的探索。我们用完善的课程设置、合理的方式方法以及充满趣味的课堂,带领孩子们进入一个全新的、更为丰富的数学世界,而这里,便是他们孕育数学思维、培养数学眼光的沃土!

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  133. /data/web/baijiao_branch_collect/view/index/pc/school_news_details.php ( 2.39 KB )
  134. /data/web/baijiao_branch_collect/view/index/pc/school_top.php ( 5.76 KB )
  135. /data/web/baijiao_branch_collect/view/index/pc/school_right.php ( 2.17 KB )
  136. /data/web/baijiao_branch_collect/view/index/pc/school_bottom.php ( 1.16 KB )
  137. /data/web/baijiao_branch_collect/vendor/topthink/think-trace/src/Html.php ( 4.42 KB )
  1. CONNECT:[ UseTime:0.000340s ] mysql:host=127.0.0.1;port=3306;dbname=baijiao_branch_collect;charset=utf8
  2. SHOW FULL COLUMNS FROM `fqi_school` [ RunTime:0.001146s ]
  3. SELECT * FROM `fqi_school` WHERE `school_id` = '10132' AND `site_id` = 7 AND `school_status` = 1 LIMIT 1 [ RunTime:0.000294s ]
  4. SHOW FULL COLUMNS FROM `fqi_school_class` [ RunTime:0.000714s ]
  5. SELECT * FROM `fqi_school_class` WHERE `school_id` = 10132 [ RunTime:0.000211s ]
  6. SHOW FULL COLUMNS FROM `fqi_school_campus` [ RunTime:0.000649s ]
  7. SELECT * FROM `fqi_school_campus` WHERE `school_id` = 10132 [ RunTime:0.000209s ]
  8. SHOW FULL COLUMNS FROM `fqi_school_news` [ RunTime:0.000710s ]
  9. SELECT `a`.*,`content` FROM `fqi_school_news` `a` LEFT JOIN `fqi_school_news_content` `b` ON `b`.`content_id`=`a`.`content_id` WHERE `school_id` = 10132 AND `a`.`content_id` = '72596' AND `news_status` = 1 AND `school_status` = 1 LIMIT 1 [ RunTime:0.000626s ]
  10. (select content_id,news_name,school_id from fqi_school_news where school_id = '10132' and content_id < '72596' and site_id <= '7' order by content_id desc limit 1) union all(select content_id,news_name,school_id from fqi_school_news where school_id = '10132' and content_id > '72596' and site_id <= '7' order by content_id asc limit 1) [ RunTime:0.000827s ]
  11. SHOW FULL COLUMNS FROM `fqi_school_course` [ RunTime:0.000719s ]
  12. SELECT * FROM `fqi_school_course` WHERE `school_id` = 10132 AND `site_id` = 7 AND `course_status` = 1 AND `school_status` = 1 ORDER BY `course_id` DESC LIMIT 4 [ RunTime:0.000405s ]
  13. SELECT * FROM `fqi_school_course` WHERE `school_id` = 10132 AND `school_status` = 1 AND `course_status` = 1 ORDER BY `course_id` DESC LIMIT 8 [ RunTime:0.000192s ]
  14. SELECT * FROM `fqi_school_news` WHERE `school_id` = 10132 ORDER BY `click` DESC,`news_id` DESC LIMIT 5 [ RunTime:0.000356s ]
  15. SELECT `content_id`,`news_name`,`a`.`school_id`,`b`.`school_name` FROM `fqi_school_news` `a` LEFT JOIN `fqi_school` `b` ON `b`.`school_id`=`a`.`school_id` WHERE `a`.`site_id` = '7' AND `b`.`school_status` = '1' AND `news_status` = 1 AND `content_id` < 72596 ORDER BY `content_id` DESC LIMIT 20 [ RunTime:0.011317s ]
0.022756s