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在数学学习中,思维导图是一个很有用的工具。它可以帮助我们训练分类思维、逻辑思维、发散思维、分析思维、探究性思维、创造性思维,可以帮我们提高记忆力和理解能力。通过用思维导图来总结第六单元《圆》的知识,不仅能对学过的知识进行回顾与整理,进一步理解所学内容,理解相关知识之间的区别与联系,同时还能培养养成整理知识的良好习惯。
同学们整理的思维导图,知识点全面又细致,设计上真是独具匠心,令人赞叹!👍👍孩子们,棒棒哒!下面展示一下同学们的作品,让我们一起感受大家在应用思维导图时所展现的思维潜能吧!
","type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/effffb6798054b3c900238349fcb1d92__jpg.heic","img_width":1200,"type":1},{"text":" 我们学习圆这个图形,是先从“描述圆”开始(给它命名,研究它的特性),然后聚焦如何测量圆:圆的周长(周长与哪些因素有关?有什么关系?得出周长公式),圆的面积(面积如何测量?可以转换成哪些图形?得出面积公式);圆在实际生活中应用,最后到圆的“未来发展”,学习了圆的相关知识,为我们以后研究哪些图形做好了准备。
","type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/705764bcf00140feb76ef02ce4a969da__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/2871300d6af44778aa68bd1e2434b2bf__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/232358588a2d4989825cf2c88062dc2f__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/2f4ae83bc99f4eb48bd4f5c753b5024f__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/de888ebc23aa43b68e2b0bc54f8e56d9__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/34faa3376caa4164ad6e2300a67a42d1__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/4764237fae6943ab85aad072b9a245a4__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/62b5cdf1a6aa43829386aae6dae46a3d__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/b3928c15786e4a6da57a6f05e05d993c__jpg.heic","img_width":1200,"type":1},{"text":" 从大家的作品可以看出,大部分同学都能按照自己的理解制作《圆》单元的思维导图。不过大家的作品还是有这样几个层次:有的同学很认真,把所有学过的“知识”全铺上去,但缺乏逻辑,或者说逻辑不清晰;有的同学制作的脑图逻辑清晰,但不够“细致”,三级分支、四级分支还需完善……
通过分享、交流,澄清“核心问题”、回顾圆观念建构的历程,大部分同学都能彼此取长补短,进而修改完善自己制作的思维导图。
","type":1},{"img_height":1600,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/9994b6f6a6834ea89b5ee2573e8030c8__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/61c61600a33e4e7a84063a861f45cc7f__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/6cccc24cca044f8cbf4de202826b4ed0__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/e211750b0d164ce68220f173ba245234__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/e3a815e3a50d478e8e2e72f6c6a168a4__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/65c06a1ca5674dd89bcbf1495ab084f6__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/61b3613b725248a5ab21ead44a1b80f6__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/c4a8fe3aa97d4ad5872eaebb8a75ffd1__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/85ee8eb7834e4358a6883f7de1866b17__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/1039ad6ad69b4e9f92b81477219f3782__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/bf1dcdcc28d24cda91b97f2f8d316209__jpg.heic","img_width":1200,"type":1},{"text":" 尽管同学们的导图多数比较清晰,但部分图有些“单薄”,其实内容还可以更丰富些。举个例子比如“周长”这个地方,可以把周长公式的推导过程体现出来,引出“圆周率”,再得出“圆的周长公式”,最后到“圆周长公式的变式”。圆的面积也可以更细致些,把面积的推导过程也体现出来,最后得出圆的面积公式。
","type":1},{"text":" 同时,还可以增加实际应用这块内容。比如解释生活中一些和圆相关的现象(车轮为什么做成圆的?下水井井盖为什么做成圆的?);圆周长的实际应用;圆面积的实际应用;周长与面积的综合应用……
","type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/cfd7645c8750458abc1111db27d2a3c4__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/bea62907217d4323b51aa6f04bd6c062__jpg.heic","img_width":1200,"type":1},{"img_height":1600,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/d9ce911557244fe0812a83a9285b24e3__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/93f0dc1ac84143fe8f2791e9e4331990__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/9e9d160e769b4b5b9b5b2b4e58d50f2c__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/fbf5edba58c541839912ea1925ebc152__jpg.heic","img_width":1200,"type":1},{"text":"
","type":1},{"text":" 如果再细化,“圆面积的实际应用”还可以这样分类:扇形面积;圆环面积;阴影部分面积。
","type":1},{"text":" 如果根据思维导图,我们能编出各种核心问题的实际应用题型,更是一举双得!这样的话,导图有了,题库有了,达标检测的题,闯关挑战的题,都可以从题库中找了。这样一来我们不再只是做题人,还是编题人(出题人),讲题人。这样的话,编制思维导图这件事就变得更有意义了!
","type":1}]},"ext":{"id":10878861,"article_id":141154873,"ip":"223.104.247.147","origin_status":0,"edit_from":0,"client_type":1,"password_v2":"","uv":1,"font_id":0,"title_style":"","rich_text_title":null,"gift_switch":1,"deleted_at":0,"recycle_expired_at":0,"share_with_nickname":0,"enable_watermark":0,"music_id":0,"music_source":-1,"_auto_update_time":"2022-09-18 14:42:26"},"extend":{"article_id":141154873,"enable_download":1}},"author":{"id":11460411,"nickname":"去远方","head_img_url":"https://ss-mpvolc.meipian.me/users/11460411/b5e9df6597a54b62b5c40dd4d13943f6.jpg","column_visit":71,"signature":"","favorite_count":0,"follow_count":9,"follower_count":10,"famous_type":0,"autoplay_music":1,"text_preference":1,"client_type":1,"reward_word":"如果喜欢我的作品,请打赏鼓励哦!","member_type":0,"wechat_id":"ojq1ttyZO9-tSTLFwm5FEa-2-P7o","country":"中国","province":"浙江","city":"嘉兴","career":null,"birthday":0,"gender":0,"reg_time":1491552712,"e_id":"","bedge_img":"","label_img":"","review_level":1,"enable_reward_switch":false,"enable_water_mark_switch":0,"plainNickname":"去远方","member_status":0,"member_img":"","ext":null,"phone_num":"135****0135","head_attach_img":null,"badge":null,"onlive":false,"qualification":null,"biz_info":{"is_biz_user":false,"share_domains":[]},"headwear":{"icon":"","animation":"","config":{},"param":{}},"cover_img_url":"","weibo_id":"","vwen_id":"","im_id":"aa5a43bf0c8a7d8a3808d702a9f65e58","yx_im_token":"","last_visit_time":1730457179,"ip_address":"39.144.124.85","device_id":"adfadaee866348288a4da972b74a60a7","reviewer":0,"review_time":0,"account_state":0,"balance":297,"last_contribution_time":0,"member_expire_time":0,"member_qq_group":0,"web_has_login":1,"longtitude":"0.0000000","latitude":"0.0000000","last_client_type":1,"level":0,"province_user":null,"city_user":null,"user_id":11460411,"qq_id":"","apple_id":"","badge_img_url":"","reward_url":"https://www.meipian.cn/wap/reward/view/index.html?mask_id=1sufytf8&author_user_id=11460411&article_title=%E5%9C%86%E5%8D%95%E5%85%83%E6%80%9D%E7%BB%B4%E5%AF%BC%E5%9B%BE%E2%80%94%E5%85%AD%EF%BC%882%EF%BC%89%E7%8F%AD%E4%BD%9C%E5%93%81","memo_name":""},"content":[{"text":" 在数学学习中,思维导图是一个很有用的工具。它可以帮助我们训练分类思维、逻辑思维、发散思维、分析思维、探究性思维、创造性思维,可以帮我们提高记忆力和理解能力。通过用思维导图来总结第六单元《圆》的知识,不仅能对学过的知识进行回顾与整理,进一步理解所学内容,理解相关知识之间的区别与联系,同时还能培养养成整理知识的良好习惯。
同学们整理的思维导图,知识点全面又细致,设计上真是独具匠心,令人赞叹!👍👍孩子们,棒棒哒!下面展示一下同学们的作品,让我们一起感受大家在应用思维导图时所展现的思维潜能吧!
","type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/effffb6798054b3c900238349fcb1d92__jpg.heic","img_width":1200,"type":1},{"text":" 我们学习圆这个图形,是先从“描述圆”开始(给它命名,研究它的特性),然后聚焦如何测量圆:圆的周长(周长与哪些因素有关?有什么关系?得出周长公式),圆的面积(面积如何测量?可以转换成哪些图形?得出面积公式);圆在实际生活中应用,最后到圆的“未来发展”,学习了圆的相关知识,为我们以后研究哪些图形做好了准备。
","type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/705764bcf00140feb76ef02ce4a969da__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/2871300d6af44778aa68bd1e2434b2bf__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/232358588a2d4989825cf2c88062dc2f__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/2f4ae83bc99f4eb48bd4f5c753b5024f__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/de888ebc23aa43b68e2b0bc54f8e56d9__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/34faa3376caa4164ad6e2300a67a42d1__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/4764237fae6943ab85aad072b9a245a4__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/62b5cdf1a6aa43829386aae6dae46a3d__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/b3928c15786e4a6da57a6f05e05d993c__jpg.heic","img_width":1200,"type":1},{"text":" 从大家的作品可以看出,大部分同学都能按照自己的理解制作《圆》单元的思维导图。不过大家的作品还是有这样几个层次:有的同学很认真,把所有学过的“知识”全铺上去,但缺乏逻辑,或者说逻辑不清晰;有的同学制作的脑图逻辑清晰,但不够“细致”,三级分支、四级分支还需完善……
通过分享、交流,澄清“核心问题”、回顾圆观念建构的历程,大部分同学都能彼此取长补短,进而修改完善自己制作的思维导图。
","type":1},{"img_height":1600,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/9994b6f6a6834ea89b5ee2573e8030c8__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/61c61600a33e4e7a84063a861f45cc7f__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/6cccc24cca044f8cbf4de202826b4ed0__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/e211750b0d164ce68220f173ba245234__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/e3a815e3a50d478e8e2e72f6c6a168a4__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/65c06a1ca5674dd89bcbf1495ab084f6__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/61b3613b725248a5ab21ead44a1b80f6__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/c4a8fe3aa97d4ad5872eaebb8a75ffd1__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/85ee8eb7834e4358a6883f7de1866b17__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/1039ad6ad69b4e9f92b81477219f3782__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/bf1dcdcc28d24cda91b97f2f8d316209__jpg.heic","img_width":1200,"type":1},{"text":" 尽管同学们的导图多数比较清晰,但部分图有些“单薄”,其实内容还可以更丰富些。举个例子比如“周长”这个地方,可以把周长公式的推导过程体现出来,引出“圆周率”,再得出“圆的周长公式”,最后到“圆周长公式的变式”。圆的面积也可以更细致些,把面积的推导过程也体现出来,最后得出圆的面积公式。
","type":1},{"text":" 同时,还可以增加实际应用这块内容。比如解释生活中一些和圆相关的现象(车轮为什么做成圆的?下水井井盖为什么做成圆的?);圆周长的实际应用;圆面积的实际应用;周长与面积的综合应用……
","type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/cfd7645c8750458abc1111db27d2a3c4__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/bea62907217d4323b51aa6f04bd6c062__jpg.heic","img_width":1200,"type":1},{"img_height":1600,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/d9ce911557244fe0812a83a9285b24e3__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/93f0dc1ac84143fe8f2791e9e4331990__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/9e9d160e769b4b5b9b5b2b4e58d50f2c__jpg.heic","img_width":1200,"type":1},{"img_height":900,"img_url":"https://ss-mpvolc.meipian.me/users/11460411/fbf5edba58c541839912ea1925ebc152__jpg.heic","img_width":1200,"type":1},{"text":"
","type":1},{"text":" 如果再细化,“圆面积的实际应用”还可以这样分类:扇形面积;圆环面积;阴影部分面积。
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