当前位置:首页>小学教材>市级一等奖小学数学教育教学论文|三重教材解读:小学数学概念习得的路径建构与实践——以人教版“因数与倍数”教学为例

市级一等奖小学数学教育教学论文|三重教材解读:小学数学概念习得的路径建构与实践——以人教版“因数与倍数”教学为例

  • 2026-05-10 22:45:33
市级一等奖小学数学教育教学论文|三重教材解读:小学数学概念习得的路径建构与实践——以人教版“因数与倍数”教学为例
后台回复“关键词”,可审稿、润色、修改

摘要现行小学数学修订教材在内容增减、素材选取及编写意图上均有显著调整,对教材的精准解读是打造高效课堂、落实核心素养的关键前提。本文以五年级下册“因数与倍数”教学为载体,依托“对比研读、提炼核心、深度探究”的三重教材解读路径,通过新旧教材对比、概念本质深挖,聚焦“整除关系”核心,厘清因数与倍数的相互依存属性,破解教学中的易错点,引导学生深层理解概念本质,推动课堂教学从“教教材”向“用教材教”转型。

【关键词】教材解读;小学数学;因数与倍数;概念习得

研读教材、整体把握教材是教师的首要专业任务,其核心意义在于穿透文本表层,透彻理解知识背后的逻辑结构、核心思想与育人价值。而“三重教材解读”是指教师在开展概念教学前,通过对比研读、提炼归纳、探究深思三个递进层次,对教材进行深度研读的专业路径。三者层层深入、有机统一,共同为小学数学概念的有效建构与深度理解提供坚实支撑。

以五年级下册“因数与倍数”为例,该内容作为新修订义务教育教科书的一部分,相较于老教材,在材料选择、呈现方式、逻辑递进上均有较大调整。这类变化既为概念教学注入了新活力,也对一线教师如何精准落实教学目标、破解教学难点提出了新挑战。正是基于这样的教学实践困惑,愈发凸显“科学解读教材一高效落地教学”逻辑闭环的重要性。

一、三重教材解读:筑牢概念习得的基础

解读数学教材,是教师将静态文本知识转化为动态教学活动的关键路径,更是落实立德树人根本任务、实现育人目标的核心桥梁。尤其对小学数学概念教学而言,唯有依托系统、深入的教材解读,教师才能穿透文本表层,深刻把握知识背后的学科逻辑、核心思想与育人价值。

(一)对比研读,把握概念体系

对不同版本、不同修订版教材进行对比研读,是三重解读的首要环节,其核心价值在于“传承经典、突破创新”。以人教版“因数与倍数”为例,修订教材与老教材的差异集中体现了“从情境铺垫到本质聚焦”的理念升级。人教版的修订教材对“因数与倍数”这一内容在材料的呈现方式和概念的定义上作了改编,具体对比见表1。

从对比可见,修订教材的变化并非简单删减内容,而是通过弱化非核心情境、强化本质探究,引导教学聚焦“因数与倍数的整除属性”这一核心,这正是对比研读的价值所在一-帮助教师精准捕捉教材变革的深层逻辑,进而在教学中传承“有序思考”的经典方法,突破“概念本质理解”的教学难点,为概念体系的构建找准锚点。

(二)提炼归纳,聚焦核心要点

在对比研读的基础上,提炼归纳需聚焦概念核心要素、易错点与关联知识点,形成教学的“精准导航图”。以“因数与倍数”为例,通过提炼可明确:核心本质是“非零自然数范围内的整除关系”,相互依存是概念的关键属性;学生易错点集中在“混淆因数与倍数的依存关系、遗漏因数的有序列举”;关联知识点上,需衔接四年级“整除”铺垫内容,为后续质数、合数、最大公因数等知识筑牢基础。唯有精准提炼这些要素,才能避免教学陷入“重形式、轻本质”的误区,让概念教学更具针对性。

......

二、实践突破:构建概念习得的完整路径

......

第一步,情境设问,激活概念。结合班级人数(如30人)抛出问题:“学校要组织队列展示,要求30名同学排成若干排,每排人数相同且没有剩余,有几种不同的排法?每排可以站几人?站几排?”这一问题既贴合学生校园生活,又精准对接“找一个数的因数”的核心任务,能快速激活学生刚建构的因数与倍数概念,引导其主动思考“排法与因数的关联”。

第二步,探究实践,内化本质。让学生以小组为单位,结合例2“固定被除数找因数”的方法,通过列表、画图等方式列举排法。过程中教师针对性追问:“为什么每排人数和排数都是30的因数?如果每排站7人,能正好排完吗?为什么?”引导学生结合整除关系分析,明确“只有当总人数能被每排人数整除时,排法才符合要求”,进一步强化“因数与倍数依托整除关系存在”的本质。同时,通过列举排法,自然渗透“有序思考”的思想,突破“遗漏因数”的易错点,让学生在实践中理解概念的内涵与应用价值。

此外,可补充变式情境(如包装糖果,每盒放的颗数相同,36颗糖果有几种包装方式),让学生在不同场景中反复运用概念,实现“概念一应用一深化”的闭环。整个情境设计既契合教材“聚焦本质”的修订意图,又让抽象概念在具体问题中落地,帮助学生真正内化概念内涵,而非机械记忆定义。

-未完待续......-

我是叮当,一名体制内教师
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  1. CONNECT:[ UseTime:0.000549s ] mysql:host=127.0.0.1;port=3306;dbname=c_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000820s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000337s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000282s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000485s ]
  6. SELECT * FROM `set` [ RunTime:0.000213s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000504s ]
  8. SELECT * FROM `article` WHERE `id` = 467721 LIMIT 1 [ RunTime:0.000423s ]
  9. UPDATE `article` SET `lasttime` = 1778714632 WHERE `id` = 467721 [ RunTime:0.010518s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 64 LIMIT 1 [ RunTime:0.000320s ]
  11. SELECT * FROM `article` WHERE `id` < 467721 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000581s ]
  12. SELECT * FROM `article` WHERE `id` > 467721 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000512s ]
  13. SELECT * FROM `article` WHERE `id` < 467721 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.003591s ]
  14. SELECT * FROM `article` WHERE `id` < 467721 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.003288s ]
  15. SELECT * FROM `article` WHERE `id` < 467721 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.011533s ]
0.107030s