400-018-6228

北大附属实验学校数学学法指导

来源:北大附属实验学校 时间:05-29

北大附属实验学校数学学法指导

数学是一科美妙而实用的学科,从蛮荒时代的结绳计数到现代的通讯和信息时代,人类无时无刻不在受到数学的恩惠和影响。从我们幼时的板着手指头数数到现在的代数几何,衣食住行中无不充斥着数学的影子。而这些,使得在小学时很多同学都对数学产生了浓厚的兴趣。但是进入中学以来,随着课程的增多及学习内容的加深拓宽,尤其是数学从具体到抽象,静态到动态,由文字发展到符号,图形……,学习内容发生了根本的变化,加之一部分学生还未脱离老师的“哺乳”时期,没有自觉摄取的能力,致使很多同学学不得法,从而感觉到数学变难了,上课时思维跟不上了,渐渐失去了对数学学习的信心。但是,数学作为三大主课之一,而且数学学习的好坏会对物理、化学的学习产生非常大的影响。因此,对我们初一学生掌握科学的数学学习方法是非常必要的。

科学的学习方法包括预习,听课,复习巩固与作业、总结这几个环节。接下来我们就这几个环节探讨一下数学的学习方法。

我们都知道“凡事预则立,不预则废”的道理,但是我们初一的同学大都没有课前预习的习惯,也不了解预习所起到的重要作用。即使预习也仅是流于形式,草草把书浏览一遍,看不出问题和疑点。其实,就数学学科来说,大部分的新知识都可以通过预习得到。这里向大家介绍一种预习的“三边读书法”:一是粗读。先粗略浏览教材的内容,对书中粗体字,红颜色的关键字眼、概念有个初步理解认识,并能粗略掌握本章节知识的概貌,重、难点;二是细读。对重要的概念、性质、判定、公式、法则、思想方法等反复阅读、体会、思考,领会其实质及其因果关系,并在不理解的地方做上记号,以便上课的时候能有的放矢的听老师讲解,并及时提问;三是研读。在这个环节中,可以适当做一些课后的简单的习题,带着问题研讨书中知识的安排意图,并对知识进行分析、归纳、总结。以形成知识体系,完善认知结构。对做不出来的题做上记号,思考在哪一点卡住的,为上课时认真听课做好准备。

做好了预习的工作,在听课的时候你就会感到轻松许多。但是在这个环节中又要注意不要犯这种错误:那就是感觉自己大部分内容自己都预习了,听老师讲了几句之后发现这部分都会了就掉以轻心,做其他的事情去了。因为老师在讲课的时候会科学准确的把握住本节知识的重难点并予以强化,有时还会补充一些书上没有的知识点。此外,听课的时候还要处理好听、思、记的关系。首先,要听懂重点、难点剖析(尤其是预习中的疑点)。跟着老师的思路,听例题的解法和数学思想方法的体现。其次,在听的过程中要做到:(1)多思、勤思、随听随思;(2)深思,即追根溯源的思考,善于大胆提出问题;(3)善思,由听和观察区联想、猜测、归纳;(4)树立批判意识,学会反思。此外,我们还要知道,好记性不如烂笔头,在听课的过程中,要学会合理的记笔记。很多同学是老师黑板上写什么就抄什么,往往用记代替听和思。课后发现,记的东西又都不懂了。要么就是有些同学上课时不习惯记笔记,上课听懂了,下课又忘了。因此在记笔记时要注意:(1)记笔记服从听讲,要掌握记笔记的时机;(2)记要点、记疑问、记解题思路和方法。另外记笔记要在准确的基础上做到简约,不要因为记笔记而中断了听老师的讲解。做好这几点,我相信,你一定能程度的提高听课的效率,并且改掉上课开小差的毛病。

很多同学在听完课之后就觉得功德圆满了,或者因为急于完成作业,忽视必要的巩固、记忆、复习。殊不知,正是这种过于爽快的给新课学习画上句号,导致很多同学功亏一篑。所以,在一天的新课学习结束之后,我们一定要趁热打铁,及时的复习巩固与总结。在这个环节中,我们要结合笔记记录的重点、难点,回顾课堂讲授的知识、方法,同时记忆公式、定理,然后独立完成作业,解题后再反思。此外,做作业时书写格式要规范、条理要清晰。

最后,还有一个小方法想与大家分享,那就是,我们要学会养成整理错题集的习惯(我发现最近十余年来的中高考状元的学习方法时发现绝大多数高考状元都有使用“错题集”的习惯)。“错题集”是对我们自身各类错误的系统汇总。翻开它,你的各种类型的错误就非常直观的一览无遗的呈现在你面前。这样你就可以更有针对性的着手改正错误,解决问题。在考前的复习时,会给你带来非常高的效率。

学习是一个漫长的过程,就像是一场长跑,起跑顺利固然能给我们一个好的开始,如果刚开始落下了一点,不要气馁,认真总结,努力赶上,你依然可以笑傲江湖。好了,哩嗦说了这么多,希望能对同学们中学数学的学习起到一点作用。

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  8. SHOW FULL COLUMNS FROM `fqi_school_news` [ RunTime:0.000713s ]
  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` = 9774 AND `a`.`content_id` = '58247' AND `news_status` = 1 AND `school_status` = 1 LIMIT 1 [ RunTime:0.000331s ]
  10. (select content_id,news_name,school_id from fqi_school_news where school_id = '9774' and content_id < '58247' and site_id <= '17' order by content_id desc limit 1) union all(select content_id,news_name,school_id from fqi_school_news where school_id = '9774' and content_id > '58247' and site_id <= '17' order by content_id asc limit 1) [ RunTime:0.002008s ]
  11. SHOW FULL COLUMNS FROM `fqi_school_course` [ RunTime:0.000772s ]
  12. SELECT * FROM `fqi_school_course` WHERE `school_id` = 9774 AND `site_id` = 17 AND `course_status` = 1 AND `school_status` = 1 ORDER BY `course_id` DESC LIMIT 4 [ RunTime:0.000487s ]
  13. SELECT * FROM `fqi_school_course` WHERE `school_id` = 9774 AND `school_status` = 1 AND `course_status` = 1 ORDER BY `course_id` DESC LIMIT 8 [ RunTime:0.000256s ]
  14. SELECT * FROM `fqi_school_news` WHERE `school_id` = 9774 ORDER BY `click` DESC,`news_id` DESC LIMIT 5 [ RunTime:0.001535s ]
  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` = '17' AND `b`.`school_status` = '1' AND `news_status` = 1 AND `content_id` < 58247 ORDER BY `content_id` DESC LIMIT 20 [ RunTime:0.012448s ]
0.027831s