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1、24 时记时法学情分析计时法是一种生活常识,是小学生每天都会用到的知识。原本以为孩子们已经认识钟表,知道时针转一圈是12 小时,而一天有 24 小时,何况孩子们天天接触的电视、电脑、电子表、手机等都已 24时计时法计时,这些对于孩子理解24 时计时法应该顺理成章。带着这种猜测,我进行了课堂前测,学生做的情况和我预想中的完全不同。第一项,根据所给的时间画时针和分针,绝大多数孩子都能画对。然而第二项,换一个及时方法表示这些时间,孩子们做的就五花八门,能填对的只有10%。绝大多数孩子根本就分不清这两种计时方法(如有的孩子只把这些时间超过12 时的减 12,不到 12 时的加 12,这部分孩子占到60
2、%),甚至还有不知道哪里还有两种计时方法(有30%的孩子只把原来的时间表示方法抄了一遍)。因为第二项做不出来,第三项、第四项就没有想法。本以为很简单的东西,为什么对于孩子会这么难?仔细分析了孩子的情况,发现:孩子们没有意识到自己已有的普通计时法经验,也不会用普通计时法正确表述时间。这样直接开始 24 时计时法,只会造成两种计时方法认识的混乱。另外,上网搜集了一些资料,黄爱华老师引领的“大问题教学”群对这节课也进行了一些研讨,他说,“记时法”所用的“计数法”很不寻常,有60 进制(1 时=60 分,),7进制(一星期=7 天),12 进制(从 1 数到 12 后,又返回 1 开始数,)24 进制
3、(从 1 数到从 1数到 24后,就又从 1 开始数)这些“计数法”的共性是“循环计数”。然而,这 24 时计时法又与其他这些不同。例如13,作为 10 进制自然数,是独一无二的。但作为时间量,13 时显然不唯一,可以是今天的13 时,也可以是任一天的13 时,若要在钟表上找到13 这个数,一般找不到,只能找到数字1,还要看看是半夜,还是过午,然后再断定是否是13 时而不是凌晨 1 时。这说明时间量 13 时,其数量表达有 1 和 13 两种,不唯一。从对应的观点看,“多对应于一”,存在着不确定性,可能发生歧义,这是缺陷;但这正是“周期记时法”的“循环计数”特点,老是那几个数,循环往复,便于记
4、忆、容易应用,只是与“10 进制计数法”的习惯不符,讲道理不容易,这构成了学生学习的困难,是难点。对黄老师的这些分析,虽然还没有完全理明白,但有一点,我们都注意到了这节课对学生理解起来之难。为此,我想先从学生的经验出发,让他们先注意到我们生活中常用的普通计时法,会用普通计时法表示时间。再通过普通计时法的一些缺陷,产生寻求另外一种计时法的必要性。这时,学生会在掌握12 时计时法的基础上,自主创造24 时计时法,并发现24 时计时法与12 时计时法的联系,这样孩子们自主创造的知识,应该更容易理解。24 时计时法教学设计黄小曲春贤教学目标:1.结合学生的生活经验,知道一天有24 时,认识 24 时计
5、时法。2.能够对 24 时计时法与 12 时计时法所表示的时刻进行换算。3.逐步养成遵守作息制度和珍惜时间的良好习惯。教学重点:认识 24时计时法,能够对24 时计时法与 12 时计时法所表示的时刻进行换算。教学难点:明白普通计时法与24 时计时法之间的联系。教学过程:一、开门见山,出示课题:(板书课题:计时法)看到这个课题,你觉得我们这节课研究的内容会与什么知识有关?生可能:时间确实,我们这节课研究的内容的确跟时间有关。二、普通计时法1、首先问大家几个跟时间有关的问题:(1)今天你几点起床?(2)我们什么时候开始第一节课?(3)我们什么时候吃午饭?(4)我们什么时间放学?(5)你一般什么时候
6、睡觉?你记录时间的方法就叫做计时法。2、你发现没有?同在一天中,怎么有两个8:00?生回答。看看是这样的吗?(播放课件)3、原来一天有 24 个小时,而时针转一圈才12 个小时,转了两圈刚好24 小时,一天结束。如果把一天的时间做成一把“时间尺”,也就是把一天时针转过的两圈刻度,分别取下,拉直,得到这把尺。(显示)你能像直尺一样,标上它的时间刻度吗?我们一天的时间从1-12 重复了两次!为了避免混淆,所以需要加上”早晨”、“上午”、“中午”、”下午”、”晚上”这样的时间词,才能准确地表达出时间。4、(出示两个钟表)看为了让大家看得更清楚,咱们就用第一个钟表表示时针转第一圈的时间,第二个表示时针
7、转第二圈的时间。文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9
8、D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9
9、F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9
10、D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9
11、F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9
12、D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9
13、F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9老师说时间,你说是哪个钟表?晚上9:00,上午 8:00,中午 12:00,下午 4:00 反过来,我指时间,请同学来说。像这样我们平常所用的记录时间的方法叫做“普通计时法”。三、24 时计时法1、听老师放一段片头音乐,请同学们猜一猜是什么电视节目?(播放“新闻联播”片头音乐)生:新闻联播;“新闻联播”是什么时候播出的?生可能:新闻联播是晚上
14、7 点播出的。(板书:晚上 7:00)电视画面是写着这个时刻吗?我们一起来看电视。(播放新闻联播片头视频)师:画面上写着什么?生可能:19 点,19 点就是晚上 7 点。19 点就是晚上 7 点?你是怎么想到的?生可能:12+7=19 点。这是什么意思?为什么用加法?谁能上来数数看?(请生数)原来,19:00 也就是时针走到第二圈的7 时。2、有点意思。那20:00 呢?21:00?22:00?23:00?24:00?有没有 25:00?为什么?同学们这么聪明,那你猜一猜第一圈的7:00,也就是早上 7:00,电视上会怎么表示呢?到底用不用+12?说说你的理由。你还知道电视上的几点其实是我们生
15、活中的什么时间吗?3、看来,电视上这种计时方法跟我们平常用的普通计时法不一样。关于这种计时法,你还有什么问题?生可能提:这种计时法叫什么名字?它与普通计时法有什么不同?,我们梳理一下,就是研究它的名称,与普通计时法的区别等。你是希望老师来讲还是自己来研究?4、通过自主学习单,引导学生自己探究。(学生自己讨论研究)5、全班交流。(1)名称生交流:24 时计时法你是怎么知道的?那你知道它为什么叫24时计时法,而不叫25 时计时法、26 时计时法?生:,明确:一天 24个小时,所以从1-24 这 24 个数字就够了,所以叫24 时计时法。(2)区别文档编码:CW1X5T9D2I7 HF7Q8L8V4
16、G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:C
17、W1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4
18、G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:C
19、W1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4
20、G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:C
21、W1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4
22、G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9生交流。(如有困难,师引导:(1)字面是有没有不同?(2)19 时变为晚上 7 时,怎么转换?什么时候减去 12 呢?)明确:普通计时法一天24 个小时,时针会按1-12 旋转两圈,所以用钟面上的时间加上时间词;而 24 时计时法把一天 24 个小时就用 1-24 来表示,不重复,不用时间词。12 点以前的时间,两种计时方法从数字上看是一样的;1 点以后的,24 时计时法比 12 时计时法小时数要加12.。(
23、随着学生的交流板贴另两个钟表,并把第二个钟表内的时间改写好。)如果用 24 时计时法表示一天的时间,你还能在这个时间尺上标上它的刻度吗?6、转化见到 24时记时法表示的时刻,你能很快用12 时记时法来记时吗?(学生练习)16:15 18:00 14:50 19:30 那如果见到普通计时法表示的时刻,你能用24 时记时法表示?上午 10:00 中午 12:30 下午 1:00 你能不能也这样出题考考老师?可以考虑难度加大一点点。(生出题,并写出标准答案,同桌检查标准答案对不对。)四、课堂小结请同学们回顾刚才的学习过程,你有哪些新的收获?还有什么问题?老师有个小问题,这节课我们研究了两种计时法。你
24、比较喜欢哪种记时法?为什么?师:看来它们个有各的好处。课后请大家继续观察:生活中有哪些地方使用的是24 时记时法?哪些地方使用的是普通计时法?我们下节课交流。3、(师出示节目预报表)这个节目预报表肯定就难不住大家了:电视上预告的时间,你知道它们分别对应普通计时法的什么时刻吗?(学生汇报师板书)8:50 10:25 14:00 16:00 22:00 上午 8:50 上午 10:25 下午 2:00 下午 4:00 晚上 10:00 7、强化 0 点师:半夜 12:00 生可能:24:00 你们见到过这个时刻吗?见到的是这样子吧?00:00 生活中有 0 点这个时刻吗?在什么时候见到过?文档编码
25、:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8
26、V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码
27、:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8
28、V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码
29、:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8
30、V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码
31、:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9生:,(在黑板上画一条直线)我在上面写上昨天、今天、明天。如果这条直线表示时间的话,昨天和今天有一个分界点,今天和明天也有一个分界点。生:今天的 24点就是明天的 0 点。生:昨天的 24点就是今天的 0 点。师:0 点时,是白天还是黑夜?钟面上的时针和分针在什么位置?我们再仔细看看,一昼夜钟面从0 点到 24 点时针和分针的变化过程。(随着钟面的变化,同时演示夜色
32、月亮星星逐步边淡,太阳慢慢升起,再到夜色星星月亮的过程)有没有 24 时的钟表?看大屏幕文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7
33、 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8
34、A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7
35、 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8
36、A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7
37、 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8
38、A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R91、学生生活经验太少,而且数学没有融入生活。上课时发现学生甚至很难想象时钟转动这两圈的每个时刻对应的生活中所说的时间。2、文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T
39、8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I
40、7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T
41、8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I
42、7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T
43、8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I
44、7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9文档编码:CW1X5T9D2I7 HF7Q8L8V4G8 ZG9F3T8A9R9