工作就用美篇工作版","guide_search_desc":"海量模板范文,一键做同款 工作就用美篇工作版","img_beautify_switch":0,"ad_free":0,"text_direction":1,"template":{"id":136,"series_id":43,"theme_id":43},"container":{},"redirect":{"redirect_type":1,"img_url":false,"link_url":"/wap/downloadpage/backpage","button_bg_color":false,"button_desc":false,"redirect_desc":false},"edit_date_str":"更新于 2020-10-06","current_time":1743760732,"font_name":"","rcmd_meipian":0,"hide_article_link":0,"from_wechat":false,"topk_keywords":[{"name":"平行四边形","score":0.510936},{"name":"长方形","score":0.239744},{"name":"面积","score":0.205347},{"name":"学生","score":0.169508},{"name":"孩子","score":0.119264},{"name":"过程","score":0.094915},{"name":"学习","score":0.088651},{"name":"想法","score":0.084868},{"name":"转化","score":0.08093},{"name":"拼成","score":0.080063}],"music_name":"","origin_status":0,"password_v2":"","font_id":0,"title_style":"","rich_text_title":"","enable_download":1,"cover_thumb":"https://ss-mpvolc.meipian.me/users/54376031/5848c8f81c6a42fb8b489dc9965cefec__jpg.heic","has_video":false,"gift_switch":1,"enable_watermark":1,"content":{"article_id":248661348,"content":[{"source":0,"text":"
平行四边形的面积是人教版五年级上册第七单元的起始课。
","type":1},{"img_height":460,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/5848c8f81c6a42fb8b489dc9965cefec__jpg.heic","img_width":816,"is_origin":false,"source":0,"text":"在经历第一次尝试后,我进行了二次修改,整体思路如下。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvNTg0OGM4ZjgxYzZhNDJmYjhiNDg5ZGM5OTY1Y2VmZWNfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"img_height":644,"img_size":84,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/87c60da94921dbb4451a43de66f5ff27__jpg.heic","img_width":982,"is_origin":false,"source":0,"text":"课前我设计了如下前置作业:
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvODdjNjBkYTk0OTIxZGJiNDQ1MWE0M2RlNjZmNWZmMjdfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"source":0,"text":"目的是暴露学生的真实的学习基础,直面学生的学习疑惑,解决了他们的这些疑惑,就突破了本节课的教学重难点。
","type":1},{"img_height":1306,"img_size":89,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/9b9f99e09700a89dda965f224384ea21__jpg.heic","img_width":1500,"is_origin":false,"source":0,"text":"孩子们在前置作业1中,反馈回来的主要有以下3种情况。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvOWI5Zjk5ZTA5NzAwYTg5ZGRhOTY1ZjIyNDM4NGVhMjFfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"source":0,"text":"从反馈的数量上看,
情况1:(5+6)×2=22厘米。共有1人
情况2:5×6=30平方厘米。共有29人。
情况3:3×6=18平方厘米。共有21人。
再进一步剖析孩子们算式背后的想法,我发现孩子们的想法却各不相同!
","type":1},{"img_height":96,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/f1dcadf5c7d649cab88a9c967ffbd796__jpg.heic","img_width":858,"is_origin":false,"source":0,"text":"这是那位情况1的同学的想法
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvZjFkY2FkZjVjN2Q2NDljYWI4OGE5Yzk2N2ZmYmQ3OTZfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"source":0,"text":"很显然,这个孩子对周长、面积的概念混淆不清。
","type":1},{"source":0,"text":"情况2的同学共有29人,通过孩子们反馈回来的想法来看,主要分三种:
","type":1},{"img_height":512,"img_size":98,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/6193e7b46e0187787a521605c019a2b2__jpg.heic","img_width":1500,"is_origin":false,"source":0,"text":"一种是由长、正方形的面积直接迁移到平行四边形的面积计算上,认为平行四边形的面积就是邻边相乘。
这是知识的负迁移对学生学习产生的作用体现。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvNjE5M2U3YjQ2ZTAxODc3ODdhNTIxNjA1YzAxOWEyYjJfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"img_height":952,"img_size":95,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/4bfb5ffd57fce8a5be3f3b7b86eae94d__jpg.heic","img_width":1500,"is_origin":false,"source":0,"text":"一种是认为长方形是特殊的平行四边形。平行四边形的面积也应该是两边相乘。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvNGJmYjVmZmQ1N2ZjZThhNWJlM2YzYjdiODZlYWU5NGRfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"source":0,"text":"这种想法把平行四边形与长方形进行了简单链接,孩子们由已知的特殊的平行四边形(即长方形)面积是长×宽,猜想到一般的平行四边形的面积就是邻边相乘,充分暴露出学生的思维方式。
","type":1},{"img_height":588,"img_size":95,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/636383dbe4648bea19bacf77be469b81__jpg.heic","img_width":1500,"is_origin":false,"source":0,"text":"还有一种是认为把平行四边形拉成长方形后面积没有变化,所以平行四边形的面积也应该是邻边相乘。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvNjM2MzgzZGJlNDY0OGJlYTE5YmFjZjc3YmU0NjliODFfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"source":0,"text":"这种想法能充分地看出孩子们在面对“活动的平行四边形”时,不清晰变的是什么,不变的是什么。
","type":1},{"source":0,"text":"情况3的孩子们共有21个,从反馈的情况来看,孩子们都量出了所需的高,并能说明需要进行平移。
","type":1},{"img_height":946,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/b7aa08201668346cc697622ca0e905c2__jpg.heic","img_width":2000,"is_origin":false,"source":0,"type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvYjdhYTA4MjAxNjY4MzQ2Y2M2OTc2MjJjYTBlOTA1YzJfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"img_height":782,"img_size":89,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/ea8df865522e4401c18d1fd94c99bb61__jpg.heic","img_width":1500,"is_origin":false,"source":0,"text":"进一步剖析孩子们的想法,发现虽然都知道平行四边形的面积计算方法,却在思维上反映出两个不同的层次。
层次一:知其然,不知其所以然。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvZWE4ZGY4NjU1MjJlNDQwMWMxOGQxZmQ5NGM5OWJiNjFfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"source":0,"text":"只是知道可以利用平移进行转化,但不清楚变化过程中的等量关系。
与这些学生沟通后了解到,这种方法是由学生家长告知、培训班学习或者自学等方面得来的,并不清楚在变化过程中的等量关系,更不清楚为什么要这样来进行计算。
","type":1},{"img_height":332,"img_size":109,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/4e77b30f468195309167fadedb3ff447__jpg.heic","img_width":2000,"is_origin":false,"source":0,"text":"层次二:知其然,并知其所以然。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvNGU3N2IzMGY0NjgxOTUzMDkxNjdmYWRlZGIzZmY0NDdfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"img_height":500,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/4685a1d47f5641908cbad5af91f5b620__jpg.heic","img_width":1060,"is_origin":false,"source":0,"text":"能清楚描述转化前后他们之间的关系。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvNDY4NWExZDQ3ZjU2NDE5MDhjYmFkNWFmOTFmNWI2MjBfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"source":0,"text":"面对前置作业反馈回来的孩子们的差异资源,我应如何利用这些宝贵资源?怎样设计就能层层递进,逐步推进学生的深度学习?进而达到减负提质的目的?
带着这样的疑问,进行了教学实践。
","type":1},{"source":0,"text":"针对孩子们反馈的学习基础,本节课围绕以下4个核心问题展开研究。
问题1:这3种方法,你最能确定哪种一定是错误的?为什么?
课堂中当呈现出情况1这种想法后,孩子们立马反驳——“他求得是平行四边形的周长,而题目要求的是面积。”
通过孩子们的交流,进行小结,首先要区分周长与面积的不同,并明确此题是求面积。
","type":1},{"source":0,"text":"问题2:怎样验证哪种是正确的?
以这个核心问题为引领,链接学生以前关于面积的知识经验,引出数方格。
","type":1},{"img_height":496,"img_size":63,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/e7848ebc173327660b8faeba7b54cd45__jpg.heic","img_width":894,"is_origin":false,"source":0,"text":"从学生课堂反馈的情况来看,主要有三种:
①先数整格,不满一格的按半格数,最后相加即得。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvZTc4NDhlYmMxNzMzMjc2NjBiOGZhZWJhN2I1NGNkNDVfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"img_height":534,"img_size":74,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/b29675c8eb334cfb90615b3a85b31ae3__jpg.heic","img_width":818,"is_origin":false,"source":0,"text":"②先数整格,把两个半格通过平移或旋转拼成一个整格,最后相加即得。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvYjI5Njc1YzhlYjMzNGNmYjkwNjE1YjNhODViMzFhZTNfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"img_height":470,"img_size":54,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/46a7642c5acda97d1402a96cc8aebdbe__jpg.heic","img_width":780,"is_origin":false,"source":0,"text":"③直接把左边三角形平移到右边,按长方形的方法进行数格。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvNDZhNzY0MmM1YWNkYTk3ZDE0MDJhOTZjYzhhZWJkYmVfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"img_height":600,"img_size":60,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/063154c0980cbd09fb30f3050407a269__jpg.heic","img_width":800,"is_origin":false,"source":0,"text":"在逐步对比这三种数法的过程中,学生直观的感受到,只有将平行四边形“割补”变成长方形,才能方便地计算出包含了几个面积单位。无形中渗透了“转化”的数学思想!为后面动手操作打下了坚实的基础。
并在此基础上,初步沟通原来的平行四边形与转化后的长方形的联系,学生自然而然地就把本节课的难点突破了,自此,平行四边形为何要通过“割补”转化的道理,通过学生展示的“数方格”经验的发展与完善,得以深层次地建构。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvMDYzMTU0YzA5ODBjYmQwOWZiMzBmMzA1MDQwN2EyNjlfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"img_height":534,"img_size":33,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/2d8a753227e26ae9ae624afdac52b9eb__jpg.heic","img_width":864,"is_origin":false,"source":0,"text":"问题3:是不是所有平行四边形都可以用底乘高来计算面积呢?
抛出这个问题之后,充分激发了学生的探究欲望。学生创作了各种各样的平行四边形,有高的、有矮的、有胖的、有瘦的、有向左倾斜的、也有向右倾斜的…
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvMmQ4YTc1MzIyN2UyNmFlOWFlNjI0YWZkYWM1MmI5ZWJfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"img_height":412,"img_size":15,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/5b1ffd866009584ab64e61d0069d053c__jpg.heic","img_width":452,"is_origin":false,"source":0,"text":"更有学生提出,这样的平行四边形,即高在底边延长线上的。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvNWIxZmZkODY2MDA5NTg0YWI2NGU2MWQwMDY5ZDA1M2NfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"img_height":1080,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/79d89d5133d5e77f5ab2fff15b455104__jpg.heic","img_width":1440,"is_origin":false,"source":0,"text":"学生的思维打开了,探究的欲望变强了,这时放手让学生动手实践,在操作中感悟,从而达到深度学习。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvNzlkODlkNTEzM2Q1ZTc3ZjVhYjJmZmYxNWI0NTUxMDRfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"img_height":946,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/709d9d969d3f8d517af088e082431c0c__jpg.heic","img_width":2000,"is_origin":false,"source":0,"text":"在探究过程中需关注以下几点,进而达到深度建构。
①是不是随便剪一刀都能拼成长方形 ?
②剪下后如何变成长方形?
③观察原来的平行四边形和转化后的长方形,你发现它们之间有哪些等量关系?
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvNzA5ZDlkOTY5ZDNmOGQ1MTdhZjA4OGUwODI0MzFjMGNfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"source":0,"text":"课堂中有了学生动手操作的实践体验,孩子们在课堂上敢于表达自己的想法:
“不能随便剪,要沿高剪开。”
“只有沿高剪才能拼成长方形。”
“通过向左或向右平移就可以拼成长方形。”
“原来平行四边形的面积和转化后的长方形的面积相等”
“平行四边形的底等于长方形的长,平行四边形的高等于长方形的宽,因为长方形的面积=长×宽,那么平行四边形的面积就可以用底×高来计算。”
","type":1},{"img_height":240,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/02cc9dbbda5845a5bd6544c0194c0a52__jpg.heic","img_width":370,"is_origin":false,"source":0,"text":"“我还可以沿着这条高来剪也能拼成平行四边形。”
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvMDJjYzlkYmJkYTU4NDVhNWJkNjU0NGMwMTk0YzBhNTJfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"img_height":240,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/804e264638a14d30aa7942ee341a50a0__jpg.heic","img_width":314,"is_origin":false,"source":0,"text":"“还可以这样剪,同样也拼成了平行四边形。”
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvODA0ZTI2NDYzOGExNGQzMGFhNzk0MmVlMzQxYTUwYTBfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"source":0,"text":"“平行四边形的面积既可以用刚才的底乘高来计算,还可以用这个底和对应的高相乘得到。”
学生在讨论交流的过程中,主动探索出了平行四边形的面积就是底乘高。
在整个探究过程中学生在交流讨论中不断引发新思考,产生有价值的思考与探究,逐步走进数学问题的本质,自主建构知识体系,从而达到深度学习。
","type":1},{"img_height":308,"img_size":17,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/12c1d870345888ebba71501d70f0a745__jpg.heic","img_width":658,"is_origin":false,"source":0,"text":"问题4:把平行四边形拉成长方形也是将平行四边形转化为长方形,为什么就不对了呢?
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvMTJjMWQ4NzAzNDU4ODhlYmJhNzE1MDFkNzBmMGE3NDVfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"img_height":308,"img_size":32,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/fab7eee0c7f514edf1fdef300150d3c3__jpg.heic","img_width":658,"is_origin":false,"source":0,"text":"学生在反复拉一拉的过程中,逐步感受到这个过程中面积是不断变化的,其中,当变成长方形时,面积最大。
在此基础上,进一步追问:把平行四边形拉成长方形的过程中,变大的部分在哪里?请你指出来。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvZmFiN2VlZTBjN2Y1MTRlZGYxZmRlZjMwMDE1MGQzYzNfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"source":0,"text":"孩子们通过平移把平行四边形转化成长方形,发现当在把平行四边形拉成长方形的过程中,面积减少部分为图中阴影部分,此时,孩子们豁然开朗,真正地知道在“拉一拉”的过程中面积确实变了。面对看得到的变化,真正触发了学生的深度学习。
但脚步并没有停下,继续追问:其实,在“拉一拉”过程中,也有不变的地方,你看出来了吗?
进一步让孩子们感受到在“拉一拉”过程中,面积变了,但也有不变的地方——周长不变。
","type":1},{"img_height":314,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/a3b2dd06968a4f2da55752f0d3b087ad__jpg.heic","img_width":1392,"is_origin":false,"source":0,"text":"最后,再对比这两种转化方法的过程,在“割补法”转化过程中是形状变了(周长变了),面积不变。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvYTNiMmRkMDY5NjhhNGYyZGE1NTc1MmYwZDNiMDg3YWRfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"img_height":308,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/12c1d870345888ebba71501d70f0a745__jpg.heic","img_width":658,"is_origin":false,"source":0,"text":"在把平行四边形拉成长方形的过程中,是形状变了(面积变了),周长不变。至此,学生心中的疑惑全部消除,也就达到了学生对本节课的深度学习。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvMTJjMWQ4NzAzNDU4ODhlYmJhNzE1MDFkNzBmMGE3NDVfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"img_height":946,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/a7e1b3312cf3406985f4ee9ad3fcc84b__jpg.heic","img_width":2000,"is_origin":false,"source":0,"text":"通过前置作业暴露的学生资源,充分剖析背后的想法,整合资源,通过4个核心问题,逐步引导学生走向深度学习。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvYTdlMWIzMzEyY2YzNDA2OTg1ZjRlZTlhZDNmY2M4NGJfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"}]},"ext":{"id":181118381,"article_id":248661348,"ip":"117.136.4.188","origin_status":0,"edit_from":0,"client_type":2,"password_v2":"","uv":1,"font_id":0,"title_style":"","rich_text_title":"","gift_switch":1,"deleted_at":0,"recycle_expired_at":0,"share_with_nickname":1,"enable_watermark":1,"music_id":2126940,"music_source":-1,"_auto_update_time":"2024-11-29 13:50:55"},"extend":{"id":7356104,"article_id":248661348,"enable_download":1,"cover_width":0,"cover_height":0}},"author":{"id":54376031,"nickname":"芸","head_img_url":"https://ss-mpvolc.meipian.me/users/54376031/d432b41894ceaff9d062a9c5865884dc","column_visit":155,"signature":"","favorite_count":0,"follow_count":83,"follower_count":62,"famous_type":0,"autoplay_music":1,"text_preference":1,"client_type":0,"reward_word":"如果喜欢我的作品,请打赏鼓励哦!","member_type":0,"wechat_id":"ojq1tt_YhkB8lw1_rY1AEWRXAlS4","country":"","province":"","city":"","career":null,"birthday":0,"gender":1,"reg_time":1539579372,"e_id":"","bedge_img":"","label_img":"","review_level":1,"enable_reward_switch":false,"enable_water_mark_switch":1,"plainNickname":"芸","member_status":1,"member_img":"","ext":null,"phone_num":"139****2671","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":"","yx_im_token":"","last_visit_time":1698158062,"ip_address":"118.74.53.246","device_id":"869315036653592:02:00:00:00:00:00","reviewer":0,"review_time":0,"account_state":0,"balance":0,"last_contribution_time":0,"member_expire_time":0,"member_qq_group":0,"web_has_login":0,"longtitude":"112.7693940","latitude":"37.7081760","last_client_type":4,"level":0,"province_user":null,"city_user":null,"user_id":54376031,"qq_id":"","apple_id":"","badge_img_url":"","reward_url":"https://www.meipian.cn/wap/reward/view/index.html?mask_id=368ejo83&author_user_id=54376031&article_title=%E8%81%9A%E7%84%A6%E5%87%8F%E8%B4%9F%E6%8F%90%E8%B4%A8%EF%BC%8C%E6%8E%A8%E8%BF%9B%E6%B7%B1%E5%BA%A6%E5%AD%A6%E4%B9%A0%E2%80%94%E2%80%94%E3%80%8A%E5%B9%B3%E8%A1%8C%E5%9B%9B%E8%BE%B9%E5%BD%A2%E7%9A%84%E9%9D%A2%E7%A7%AF%E3%80%8B%E5%86%8D%E6%80%9D%E8%80%83","memo_name":""},"content":[{"source":0,"text":"平行四边形的面积是人教版五年级上册第七单元的起始课。
","type":1},{"img_height":460,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/5848c8f81c6a42fb8b489dc9965cefec__jpg.heic","img_width":816,"is_origin":false,"source":0,"text":"在经历第一次尝试后,我进行了二次修改,整体思路如下。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvNTg0OGM4ZjgxYzZhNDJmYjhiNDg5ZGM5OTY1Y2VmZWNfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"img_height":644,"img_size":84,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/87c60da94921dbb4451a43de66f5ff27__jpg.heic","img_width":982,"is_origin":false,"source":0,"text":"课前我设计了如下前置作业:
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvODdjNjBkYTk0OTIxZGJiNDQ1MWE0M2RlNjZmNWZmMjdfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"source":0,"text":"目的是暴露学生的真实的学习基础,直面学生的学习疑惑,解决了他们的这些疑惑,就突破了本节课的教学重难点。
","type":1},{"img_height":1306,"img_size":89,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/9b9f99e09700a89dda965f224384ea21__jpg.heic","img_width":1500,"is_origin":false,"source":0,"text":"孩子们在前置作业1中,反馈回来的主要有以下3种情况。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvOWI5Zjk5ZTA5NzAwYTg5ZGRhOTY1ZjIyNDM4NGVhMjFfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"source":0,"text":"从反馈的数量上看,
情况1:(5+6)×2=22厘米。共有1人
情况2:5×6=30平方厘米。共有29人。
情况3:3×6=18平方厘米。共有21人。
再进一步剖析孩子们算式背后的想法,我发现孩子们的想法却各不相同!
","type":1},{"img_height":96,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/f1dcadf5c7d649cab88a9c967ffbd796__jpg.heic","img_width":858,"is_origin":false,"source":0,"text":"这是那位情况1的同学的想法
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvZjFkY2FkZjVjN2Q2NDljYWI4OGE5Yzk2N2ZmYmQ3OTZfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"source":0,"text":"很显然,这个孩子对周长、面积的概念混淆不清。
","type":1},{"source":0,"text":"情况2的同学共有29人,通过孩子们反馈回来的想法来看,主要分三种:
","type":1},{"img_height":512,"img_size":98,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/6193e7b46e0187787a521605c019a2b2__jpg.heic","img_width":1500,"is_origin":false,"source":0,"text":"一种是由长、正方形的面积直接迁移到平行四边形的面积计算上,认为平行四边形的面积就是邻边相乘。
这是知识的负迁移对学生学习产生的作用体现。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvNjE5M2U3YjQ2ZTAxODc3ODdhNTIxNjA1YzAxOWEyYjJfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"img_height":952,"img_size":95,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/4bfb5ffd57fce8a5be3f3b7b86eae94d__jpg.heic","img_width":1500,"is_origin":false,"source":0,"text":"一种是认为长方形是特殊的平行四边形。平行四边形的面积也应该是两边相乘。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvNGJmYjVmZmQ1N2ZjZThhNWJlM2YzYjdiODZlYWU5NGRfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"source":0,"text":"这种想法把平行四边形与长方形进行了简单链接,孩子们由已知的特殊的平行四边形(即长方形)面积是长×宽,猜想到一般的平行四边形的面积就是邻边相乘,充分暴露出学生的思维方式。
","type":1},{"img_height":588,"img_size":95,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/636383dbe4648bea19bacf77be469b81__jpg.heic","img_width":1500,"is_origin":false,"source":0,"text":"还有一种是认为把平行四边形拉成长方形后面积没有变化,所以平行四边形的面积也应该是邻边相乘。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvNjM2MzgzZGJlNDY0OGJlYTE5YmFjZjc3YmU0NjliODFfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"source":0,"text":"这种想法能充分地看出孩子们在面对“活动的平行四边形”时,不清晰变的是什么,不变的是什么。
","type":1},{"source":0,"text":"情况3的孩子们共有21个,从反馈的情况来看,孩子们都量出了所需的高,并能说明需要进行平移。
","type":1},{"img_height":946,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/b7aa08201668346cc697622ca0e905c2__jpg.heic","img_width":2000,"is_origin":false,"source":0,"type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvYjdhYTA4MjAxNjY4MzQ2Y2M2OTc2MjJjYTBlOTA1YzJfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"img_height":782,"img_size":89,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/ea8df865522e4401c18d1fd94c99bb61__jpg.heic","img_width":1500,"is_origin":false,"source":0,"text":"进一步剖析孩子们的想法,发现虽然都知道平行四边形的面积计算方法,却在思维上反映出两个不同的层次。
层次一:知其然,不知其所以然。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvZWE4ZGY4NjU1MjJlNDQwMWMxOGQxZmQ5NGM5OWJiNjFfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"source":0,"text":"只是知道可以利用平移进行转化,但不清楚变化过程中的等量关系。
与这些学生沟通后了解到,这种方法是由学生家长告知、培训班学习或者自学等方面得来的,并不清楚在变化过程中的等量关系,更不清楚为什么要这样来进行计算。
","type":1},{"img_height":332,"img_size":109,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/4e77b30f468195309167fadedb3ff447__jpg.heic","img_width":2000,"is_origin":false,"source":0,"text":"层次二:知其然,并知其所以然。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvNGU3N2IzMGY0NjgxOTUzMDkxNjdmYWRlZGIzZmY0NDdfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"img_height":500,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/4685a1d47f5641908cbad5af91f5b620__jpg.heic","img_width":1060,"is_origin":false,"source":0,"text":"能清楚描述转化前后他们之间的关系。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvNDY4NWExZDQ3ZjU2NDE5MDhjYmFkNWFmOTFmNWI2MjBfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"source":0,"text":"面对前置作业反馈回来的孩子们的差异资源,我应如何利用这些宝贵资源?怎样设计就能层层递进,逐步推进学生的深度学习?进而达到减负提质的目的?
带着这样的疑问,进行了教学实践。
","type":1},{"source":0,"text":"针对孩子们反馈的学习基础,本节课围绕以下4个核心问题展开研究。
问题1:这3种方法,你最能确定哪种一定是错误的?为什么?
课堂中当呈现出情况1这种想法后,孩子们立马反驳——“他求得是平行四边形的周长,而题目要求的是面积。”
通过孩子们的交流,进行小结,首先要区分周长与面积的不同,并明确此题是求面积。
","type":1},{"source":0,"text":"问题2:怎样验证哪种是正确的?
以这个核心问题为引领,链接学生以前关于面积的知识经验,引出数方格。
","type":1},{"img_height":496,"img_size":63,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/e7848ebc173327660b8faeba7b54cd45__jpg.heic","img_width":894,"is_origin":false,"source":0,"text":"从学生课堂反馈的情况来看,主要有三种:
①先数整格,不满一格的按半格数,最后相加即得。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvZTc4NDhlYmMxNzMzMjc2NjBiOGZhZWJhN2I1NGNkNDVfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"img_height":534,"img_size":74,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/b29675c8eb334cfb90615b3a85b31ae3__jpg.heic","img_width":818,"is_origin":false,"source":0,"text":"②先数整格,把两个半格通过平移或旋转拼成一个整格,最后相加即得。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvYjI5Njc1YzhlYjMzNGNmYjkwNjE1YjNhODViMzFhZTNfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"img_height":470,"img_size":54,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/46a7642c5acda97d1402a96cc8aebdbe__jpg.heic","img_width":780,"is_origin":false,"source":0,"text":"③直接把左边三角形平移到右边,按长方形的方法进行数格。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvNDZhNzY0MmM1YWNkYTk3ZDE0MDJhOTZjYzhhZWJkYmVfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"img_height":600,"img_size":60,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/063154c0980cbd09fb30f3050407a269__jpg.heic","img_width":800,"is_origin":false,"source":0,"text":"在逐步对比这三种数法的过程中,学生直观的感受到,只有将平行四边形“割补”变成长方形,才能方便地计算出包含了几个面积单位。无形中渗透了“转化”的数学思想!为后面动手操作打下了坚实的基础。
并在此基础上,初步沟通原来的平行四边形与转化后的长方形的联系,学生自然而然地就把本节课的难点突破了,自此,平行四边形为何要通过“割补”转化的道理,通过学生展示的“数方格”经验的发展与完善,得以深层次地建构。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvMDYzMTU0YzA5ODBjYmQwOWZiMzBmMzA1MDQwN2EyNjlfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"img_height":534,"img_size":33,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/2d8a753227e26ae9ae624afdac52b9eb__jpg.heic","img_width":864,"is_origin":false,"source":0,"text":"问题3:是不是所有平行四边形都可以用底乘高来计算面积呢?
抛出这个问题之后,充分激发了学生的探究欲望。学生创作了各种各样的平行四边形,有高的、有矮的、有胖的、有瘦的、有向左倾斜的、也有向右倾斜的…
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvMmQ4YTc1MzIyN2UyNmFlOWFlNjI0YWZkYWM1MmI5ZWJfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"img_height":412,"img_size":15,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/5b1ffd866009584ab64e61d0069d053c__jpg.heic","img_width":452,"is_origin":false,"source":0,"text":"更有学生提出,这样的平行四边形,即高在底边延长线上的。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvNWIxZmZkODY2MDA5NTg0YWI2NGU2MWQwMDY5ZDA1M2NfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"img_height":1080,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/79d89d5133d5e77f5ab2fff15b455104__jpg.heic","img_width":1440,"is_origin":false,"source":0,"text":"学生的思维打开了,探究的欲望变强了,这时放手让学生动手实践,在操作中感悟,从而达到深度学习。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvNzlkODlkNTEzM2Q1ZTc3ZjVhYjJmZmYxNWI0NTUxMDRfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"img_height":946,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/709d9d969d3f8d517af088e082431c0c__jpg.heic","img_width":2000,"is_origin":false,"source":0,"text":"在探究过程中需关注以下几点,进而达到深度建构。
①是不是随便剪一刀都能拼成长方形 ?
②剪下后如何变成长方形?
③观察原来的平行四边形和转化后的长方形,你发现它们之间有哪些等量关系?
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvNzA5ZDlkOTY5ZDNmOGQ1MTdhZjA4OGUwODI0MzFjMGNfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"source":0,"text":"课堂中有了学生动手操作的实践体验,孩子们在课堂上敢于表达自己的想法:
“不能随便剪,要沿高剪开。”
“只有沿高剪才能拼成长方形。”
“通过向左或向右平移就可以拼成长方形。”
“原来平行四边形的面积和转化后的长方形的面积相等”
“平行四边形的底等于长方形的长,平行四边形的高等于长方形的宽,因为长方形的面积=长×宽,那么平行四边形的面积就可以用底×高来计算。”
","type":1},{"img_height":240,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/02cc9dbbda5845a5bd6544c0194c0a52__jpg.heic","img_width":370,"is_origin":false,"source":0,"text":"“我还可以沿着这条高来剪也能拼成平行四边形。”
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvMDJjYzlkYmJkYTU4NDVhNWJkNjU0NGMwMTk0YzBhNTJfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"img_height":240,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/804e264638a14d30aa7942ee341a50a0__jpg.heic","img_width":314,"is_origin":false,"source":0,"text":"“还可以这样剪,同样也拼成了平行四边形。”
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvODA0ZTI2NDYzOGExNGQzMGFhNzk0MmVlMzQxYTUwYTBfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"source":0,"text":"“平行四边形的面积既可以用刚才的底乘高来计算,还可以用这个底和对应的高相乘得到。”
学生在讨论交流的过程中,主动探索出了平行四边形的面积就是底乘高。
在整个探究过程中学生在交流讨论中不断引发新思考,产生有价值的思考与探究,逐步走进数学问题的本质,自主建构知识体系,从而达到深度学习。
","type":1},{"img_height":308,"img_size":17,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/12c1d870345888ebba71501d70f0a745__jpg.heic","img_width":658,"is_origin":false,"source":0,"text":"问题4:把平行四边形拉成长方形也是将平行四边形转化为长方形,为什么就不对了呢?
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvMTJjMWQ4NzAzNDU4ODhlYmJhNzE1MDFkNzBmMGE3NDVfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"img_height":308,"img_size":32,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/fab7eee0c7f514edf1fdef300150d3c3__jpg.heic","img_width":658,"is_origin":false,"source":0,"text":"学生在反复拉一拉的过程中,逐步感受到这个过程中面积是不断变化的,其中,当变成长方形时,面积最大。
在此基础上,进一步追问:把平行四边形拉成长方形的过程中,变大的部分在哪里?请你指出来。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvZmFiN2VlZTBjN2Y1MTRlZGYxZmRlZjMwMDE1MGQzYzNfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"source":0,"text":"孩子们通过平移把平行四边形转化成长方形,发现当在把平行四边形拉成长方形的过程中,面积减少部分为图中阴影部分,此时,孩子们豁然开朗,真正地知道在“拉一拉”的过程中面积确实变了。面对看得到的变化,真正触发了学生的深度学习。
但脚步并没有停下,继续追问:其实,在“拉一拉”过程中,也有不变的地方,你看出来了吗?
进一步让孩子们感受到在“拉一拉”过程中,面积变了,但也有不变的地方——周长不变。
","type":1},{"img_height":314,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/a3b2dd06968a4f2da55752f0d3b087ad__jpg.heic","img_width":1392,"is_origin":false,"source":0,"text":"最后,再对比这两种转化方法的过程,在“割补法”转化过程中是形状变了(周长变了),面积不变。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvYTNiMmRkMDY5NjhhNGYyZGE1NTc1MmYwZDNiMDg3YWRfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"img_height":308,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/12c1d870345888ebba71501d70f0a745__jpg.heic","img_width":658,"is_origin":false,"source":0,"text":"在把平行四边形拉成长方形的过程中,是形状变了(面积变了),周长不变。至此,学生心中的疑惑全部消除,也就达到了学生对本节课的深度学习。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvNTQzNzYwMzEvMTJjMWQ4NzAzNDU4ODhlYmJhNzE1MDFkNzBmMGE3NDVfX2pwZy5oZWlj/nickname/6Iq4/userid/NTQzNzYwMzE=/sign/53f942b55012b0bc5ec4d6f7b9d45703"},{"img_height":946,"img_url":"https://ss-mpvolc.meipian.me/users/54376031/a7e1b3312cf3406985f4ee9ad3fcc84b__jpg.heic","img_width":2000,"is_origin":false,"source":0,"text":"通过前置作业暴露的学生资源,充分剖析背后的想法,整合资源,通过4个核心问题,逐步引导学生走向深度学习。
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