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    方仁055主页 >> 文章 >> 课堂随想 >> 浏览信息《明晰目标·体验过程·自主探究·发展思维——听孙顺平老师执教《倍数和因数》有感》

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    星期五   晴天 
    主题 明晰目标·体验过程·自主探究·发展思维——听孙顺平老师执教《倍数和因数》有感

    以下内容为程序代码:
    <p center; MARGIN: 0cm 0cm 0pt" class="MsoNormal" align="center"><span 黑体; FONT-SIZE: 16pt; mso-hansi-font-family: &#718;>明晰目标&middot;体验过程&middot;自主探究&middot;发展思维<span lang="EN-US">&nbsp;</span></span><p center; MARGIN: 0cm 0cm 0pt" class="MsoNormal" align="center"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>&mdash;&mdash;听孙顺平老师执教《倍数和因数》有感</span><span &#718;>&nbsp;</span><p center; MARGIN: 0cm 0cm 0pt" class="MsoNormal" align="center"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>兴化市楚水小学</span><span &#718;><span yes"><font face="Times New Roman">&nbsp;&nbsp;</font></span></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>於以华</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>因公务已连续缺席了数学组的</span><span &#718;><font face="Times New Roman">2</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>次教研听课活动,本周三我正常参加了数学组听课活动。执教者为兴化市小学数学教学百花奖获得者&mdash;&mdash;孙顺平老师,他今天执教的是四年级下册的《倍数和因数》。听了这节课,我们听课者都感觉这是一节非常精彩的数学课,因为孙老师在明晰目标中指导<a href="><u><strong>学生</strong></u></a>体验知识形成的过程,在自主探究中掌握倍数和因数的概念,发现了求一个数的倍数和因数的方法,发展了学生的数学思维。</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>一、明晰目标,引领学生学习:</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>课一开始,孙老师组织学生齐读课题,并立即抛出问题:&ldquo;看了这个课题,在今天的课上,你想提出什么问题?&rdquo;</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span &#718;><font face="Times New Roman">20</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>秒左右,学生说出了几个问题:</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>&ldquo;倍数和因数是什么?&rdquo;<span lang="EN-US">&nbsp;</span></span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>&ldquo;为什么叫倍数和因数?&rdquo;<span lang="EN-US">&nbsp;</span></span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>&ldquo;倍数和因数之间有什么关系?&rdquo;<span lang="EN-US">&nbsp;</span></span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>&ldquo;怎样去求一个数的倍数和因数?&rdquo;<span lang="EN-US">&nbsp;</span></span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>&ldquo;一个数的倍数和因数有什么特点?&rdquo;<span lang="EN-US">&nbsp;</span></span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>&ldquo;倍数和因数有什么用?&rdquo;<span lang="EN-US">&nbsp;</span></span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>&hellip;&hellip;</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>在学生充分叙说的基础之上,孙老师用投影简明扼要地揭示了本节课的学习目标:</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>1</span><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>.理解倍数和因数的意义。<span lang="EN-US">&nbsp;</span></span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>2</span><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>.掌握找一个数的倍数和因数的方法。<span lang="EN-US">&nbsp;</span></span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>3</span><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>.发现一个数的倍数、因数的特点。<span lang="EN-US">&nbsp;</span></span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>4</span><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>.运用倍数和因数的知识解决有关实际问题。<span lang="EN-US">&nbsp;</span></span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>这样的教学环节,将本节课的教学目标明晰化,呈现的方式灵活、时机恰当,有利于学生将精力全部投入到新知的学习与探索中,因为这样的目标并不是老师强加给学生的,而是来源于学生自己的思考与发言。</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>二、经历过程,组织学生体验</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>&ldquo;倍数&rdquo;和&ldquo;因数&rdquo;是小学阶段非常重要的一组概念,对于四年级学生来说经历概念的产生过程准确理解并掌握概念就显得非常重要。本节课孙老师精心组织学生在操作与独立思考的基础上,通过交流、同桌互说、自学、范例描述、练习巩固等形式引导学生体验概念的产生,理解并掌握了概念。</span><span &#718;>&nbsp;</span><p 0cm 0cm 0pt 24pt" class="MsoNormal"><span &#718;><font face="Times New Roman">1.</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>操作交流,初步感知:</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>投影出示</span><span &#718;><font face="Times New Roman">12</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>个同样大的小正方形。</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>谈话:</span><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>用<span lang="EN-US">12</span>个同样大的小正方形拼成一个长方形。你能想出几种拼法?在小组里交流。</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>交流思考:</span><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>你想出了几种拼法?每排摆几个?摆了几排?你能用乘法算式把你的摆法表示出来吗?</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>学生经过操作,交流时分别说出了</span><span &#718;><font face="Times New Roman">3</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>组算式(<a href="><u><strong>教师</strong></u></a>相机板书):</span><span &#718;><font face="Times New Roman">4</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>&times;</span><span &#718;><font face="Times New Roman">3=12</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>,</span><span &#718;><font face="Times New Roman">6</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>&times;</span><span &#718;><font face="Times New Roman">2=12</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>,</span><span &#718;><font face="Times New Roman">12</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>&times;</span><span &#718;><font face="Times New Roman">1=12</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>。并且都能用&ldquo;每排摆了几个&rdquo;、&ldquo;摆了几排&rdquo;来说明自己所列算式的意义,这为下面概念的学习提供了素材,又能使学生在操作与交流活动中初步感知了倍数和因数的关系。</span><span &#718;>&nbsp;</span><p 0cm 0cm 0pt 24pt" class="MsoNormal"><span &#718;><font face="Times New Roman">2.</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>自学课本,尝试描述</span><span &#718;>&nbsp;</span><p 0cm 0cm 0pt" class="MsoNormal"><span &#718;><span 1"><font face="Times New Roman">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</font></span></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>在学生准确完整叙说&ldquo;每排摆了几个&rdquo;、&ldquo;摆了几排&rdquo;和乘法算式后,教师组织学生自学课本。在同桌互说的基础上,教师指名学生结合操作尝试说出&ldquo;</span><span &#718;><font face="Times New Roman">4</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>&times;</span><span &#718;><font face="Times New Roman">3=12</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>&rdquo;所表示的含义,为准确描述概念做好了铺垫。</span><span &#718;>&nbsp;</span><p 0cm 0cm 0pt 24pt" class="MsoNormal"><span &#718;><font face="Times New Roman">3.</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>提供范例,理解概念:</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>学生尝试结合操作说出&ldquo;</span><span &#718;><font face="Times New Roman">4</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>&times;</span><span &#718;><font face="Times New Roman">3=12</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>&rdquo;所表示的含义后,教师课件出示提供范例:</span><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>4</span><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>&times;<span lang="EN-US">3=12</span>,我们就说<span lang="EN-US">4</span>是<span lang="EN-US">12</span>的因数,<span lang="EN-US">3</span>也是<span lang="EN-US">12</span>的因数;<span lang="EN-US">12</span>是<span lang="EN-US">4</span>的倍数,<span lang="EN-US">12</span>也是<span lang="EN-US">3</span>的倍数。<span lang="EN-US">&nbsp;</span></span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>在指名多人叙说后,老师组织学生分别同法说出&ldquo;</span><span &#718;><font face="Times New Roman">6</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>&times;</span><span &#718;><font face="Times New Roman">2=12</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>&rdquo;、&ldquo;</span><span &#718;><font face="Times New Roman"><span lang="EN-US">12</span></font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>&times;</span><span &#718;><font face="Times New Roman">1=12</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>&rdquo;这两个算式所表达的含义。这样的多层次、多形式的叙说,学生学会了直观描述概念,教师再引入有关&ldquo;</span><span &#718;><font face="Times New Roman">0</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>&rdquo;的说明,帮助学生初步理解并掌握了&ldquo;倍数&rdquo;和&ldquo;因数&rdquo;的概念。</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span &#718;><font face="Times New Roman">4.</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>练习辨析,巩固概念:</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>练习与辨析,对学生准确掌握并巩固概念十分重要。孙老师适时组织学生进行练习:&ldquo;</span><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>下面各数中,哪个数是哪个数的倍数,哪个数是哪个数的因数:<span lang="EN-US">18,5,36,20,3</span>。&rdquo;</span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>虽然只有一道题,但由于它的开放与灵活,对学生数学思维的训练显得十分到位,学生的发言也精彩异常:</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>&ldquo;我选择的是<span lang="EN-US">18</span>和<span lang="EN-US">3</span>这一组数,<span lang="EN-US">3</span>是<span lang="EN-US">18</span>的因数,<span lang="EN-US">18</span>是<span lang="EN-US">3</span>的倍数。&rdquo;<span lang="EN-US">&nbsp;</span></span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>&ldquo;我选择的是<span lang="EN-US">5</span>和<span lang="EN-US">20</span>这一组数,<span lang="EN-US">20</span>是<span lang="EN-US">5</span>的倍数,<span lang="EN-US">5</span>是<span lang="EN-US">20</span>的因数。&rdquo;<span lang="EN-US">&nbsp;</span></span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>&hellip;&hellip;</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>一位学生精彩的发言加上孙教师的顺势引导变成了课堂的一个&ldquo;亮点&rdquo;:</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>&ldquo;</span><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>我看除了<span lang="EN-US">18</span>和<span lang="EN-US">3</span>,<span lang="EN-US">36</span>和<span lang="EN-US">3</span>这一组数也有这样的关系,<span lang="EN-US">36</span>是<span lang="EN-US">3</span>的倍数,<span lang="EN-US">3</span>是<span lang="EN-US">36</span>的因数。</span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>&rdquo;一位学生回答道。</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>&ldquo;</span><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>对,除了<span lang="EN-US">36</span>、<span lang="EN-US">18</span>以外,你在这些数中,还能找到<span lang="EN-US">3</span>的倍数吗?</span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>&rdquo;孙老师追问。</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>&ldquo;</span><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>3</span><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>也是<span lang="EN-US">3</span>的倍数&rdquo;</span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>,一个学生在座位上小声的说。</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>&ldquo;是吗?&rdquo;孙老师再次追问。</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>&ldquo;</span><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>是,<span lang="EN-US">3</span>也是<span lang="EN-US">3</span>的倍数。</span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>&rdquo;全体学生一齐回答。</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>这样的练习,开放而有序,既巩固了刚学的&ldquo;倍数&rdquo;和&ldquo;因数&rdquo;的概念,也为学习一个数的倍数与因数的特征做好的伏笔。</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>三、扶放有序,启发学生探究</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>掌握求一个数的倍数和因数的方法以及发现一个数的倍数和因数的特征是本节课学习的重点和难点。针对班级学生的实际,孙老师通过扶放结合,启发学生自主探究,取得了较好的教学效果:</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span &#718;><font face="Times New Roman">1.</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>扶一扶,求一个数的倍数:</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>(</span><span &#718;><font face="Times New Roman">1</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>)出示例题:你能找出多少个</span><span &#718;><font face="Times New Roman">3</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>的倍数?</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>学生试做,教师巡视。</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>同桌自由叙说后,指名说说是怎样想的:</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>生<span lang="EN-US">1</span>:因为<span lang="EN-US">1</span>&times;<span lang="EN-US">3=3,2</span>&times;<span lang="EN-US">3=6,3</span>&times;<span lang="EN-US">3=9,4</span>&times;<span lang="EN-US">3=12</span>,等等,所以<span lang="EN-US">3</span>的倍数有<span lang="EN-US">3</span>,<span lang="EN-US">6,9</span>,<span lang="EN-US">12</span>,等等。<span lang="EN-US">&nbsp;</span></span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>师:对,你看这样叙说显得非常有序(板书:有序,<span lang="EN-US">3</span>的倍数有<span lang="EN-US">3,6,9,12</span>,)<span lang="EN-US">&nbsp;</span></span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>生<span lang="EN-US">2</span>:我也是这么想的,因为<span lang="EN-US">1</span>&times;<span lang="EN-US">3=3,2</span>&times;<span lang="EN-US">3=6,3</span>&times;<span lang="EN-US">3=9,4</span>&times;<span lang="EN-US">3=12</span>,所以<span lang="EN-US">3</span>的倍数有<span lang="EN-US">3</span>,<span lang="EN-US">6,9</span>,<span lang="EN-US">12</span>,后面用省略号。<span lang="EN-US">&nbsp;</span></span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>师:为什么用省略号?<span lang="EN-US">&nbsp;</span></span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>生<span lang="EN-US">2</span>:因为说不完。<span lang="EN-US">&nbsp;</span></span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>师:哪说明了什么?<span lang="EN-US">&nbsp;</span></span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>生<span lang="EN-US">2</span>:<span lang="EN-US">3</span>的倍数的个数说不完。</span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>(师相机板书&hellip;&hellip;)</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>师小结:用一个数分别乘</span><span &#718;><font face="Times New Roman">1</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>、乘</span><span &#718;><font face="Times New Roman">2</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>、乘</span><span &#718;><font face="Times New Roman">3</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>&hellip;&hellip;,可以不重复不遗漏地找出一个数的倍数。</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>(</span><span &#718;><font face="Times New Roman">2</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>)自我检测:</span><span &#718;><font face="Times New Roman">2</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>的倍数有(</span><span &#718;><span yes"><font face="Times New Roman">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</font></span></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>),</span><span &#718;><font face="Times New Roman">5</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>的倍数有(</span><span &#718;><span yes"><font face="Times New Roman">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</font></span></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>)。</span><span &#718;><font face="Times New Roman"><span yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span>&nbsp;</font></span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>(</span><span &#718;><font face="Times New Roman">3</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>)自主探究:</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>学生自由叙述后孙老师及时启发学生思考:</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>观察上面几个例子,你发现一个数的倍数有什么特点?先独立思考,再将你的想法在小组里说说。</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>经过学生的独立思考与小组交流后,学生很快地探究出一个数倍数的特征:</span><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>一个数的倍数的个数是无限的,其中最小的倍数是它本身,没有最大的倍数。</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span &#718;><font face="Times New Roman">2</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>.放一放,找一个数的因数:</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>(</span><span &#718;><font face="Times New Roman">1</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>)谈话试做:</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>学会了找一个数的倍数,下面我们来研究怎样找一个数的因数。</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>出示例题:你能找出</span><span &#718;><font face="Times New Roman">36</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>的所有因数吗?</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>学生在作业纸上试做老师提出要求:不重复,不遗漏。并课件出示前面教学概念是求</span><span &#718;><font face="Times New Roman">12</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>的因数的</span><span &#718;><font face="Times New Roman">3</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>组算式:(</span><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>教者的目的是想引起学生的回忆,帮助学生一组一组的排出乘积是<span lang="EN-US">36</span>的两个数。但如果顺序及算式变换一下更好:<span lang="EN-US">1</span>&times;<span lang="EN-US">12=12</span>,<span lang="EN-US">2</span>&times;<span lang="EN-US">6=12</span>,<span lang="EN-US">3</span>&times;<span lang="EN-US">4=12</span>。</span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>)</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt">(<span lang="EN-US">2</span>)讨论交流:<span lang="EN-US">&nbsp;</span></span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt">学生试做后经过同桌交流讨论,孙老师请了几名学生说说是怎么想的:<span lang="EN-US">&nbsp;</span></span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: 宋体">生<span lang="EN-US">1</span>:<span lang="EN-US">36</span>&divide;<span lang="EN-US">1=36</span>,<span lang="EN-US">36</span>的因数有<span lang="EN-US">36</span>和<span lang="EN-US">1</span>,<span lang="EN-US">&nbsp;</span></span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: 宋体">师:这是一种好方法(板书:<span lang="EN-US">1</span>,<span lang="EN-US">36</span>)。<span lang="EN-US">&nbsp;</span></span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: 宋体">生<span lang="EN-US">1</span>:<span lang="EN-US">36</span>&divide;<span lang="EN-US">2=18</span>,<span lang="EN-US">36</span>的因数有<span lang="EN-US">18</span>和<span lang="EN-US">2</span>,<span lang="EN-US">36</span>&divide;<span lang="EN-US">3=12</span>,<span lang="EN-US">36</span>的因数有<span lang="EN-US">3</span>和<span lang="EN-US">12</span>,<span lang="EN-US">36</span>&divide;<span lang="EN-US">4=9</span>,<span lang="EN-US">36</span>的因数有<span lang="EN-US">4</span>和<span lang="EN-US">9</span>。(师相机板书:<span lang="EN-US">2,18,3,12,4,9</span>)<span lang="EN-US">&nbsp;</span></span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: 宋体">师:<span lang="EN-US">5</span>行不行?<span lang="EN-US">&nbsp;</span></span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: 宋体">生<span lang="EN-US">3</span>:不行,因为<span lang="EN-US">36</span>&divide;<span lang="EN-US">5=7</span>&hellip;&hellip;<span lang="EN-US">1</span>,<span lang="EN-US">&nbsp;</span></span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: 宋体">师:想完<span lang="EN-US">5</span>后应该想到谁?<span lang="EN-US">&nbsp;</span></span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: 宋体">生<span lang="EN-US">3</span>:<span lang="EN-US">6</span>,<span lang="EN-US">36</span>&divide;<span lang="EN-US">6=6</span>,两个<span lang="EN-US">6</span>只要写<span lang="EN-US">1</span>个。(师补充板书:<span lang="EN-US">6</span>。)<span lang="EN-US">&nbsp;</span></span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>师:还有继续往下想吗?<span lang="EN-US">&nbsp;</span></span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>生:不需要了,因为再往下想就会重复了。<span lang="EN-US">&nbsp;</span></span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt">(<span lang="EN-US">3</span>)归纳小结:</span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>你认为这几种方法中,哪一种最好?为什么?</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>师引导学生小结:我们可以借助几乘几等于</span><span &#718;><font face="Times New Roman">36</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>,或</span><span &#718;><font face="Times New Roman">36</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>除以几等于几,一对一对地找一个数的因数。(师示范写法:从两头分别写起)</span><span &#718;><font face="Times New Roman">36</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>&divide;</span><span &#718;><font face="Times New Roman">1=36</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>,想到</span><span &#718;><font face="Times New Roman">1</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>就想到</span><span &#718;><font face="Times New Roman">36</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>;</span><span &#718;><font face="Times New Roman">36</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>&divide;</span><span &#718;><font face="Times New Roman">2=18</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>,想到</span><span &#718;><font face="Times New Roman">2</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>就想到</span><span &#718;><font face="Times New Roman">18</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>&hellip;&hellip;。</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>完成板书:</span><span &#718;><font face="Times New Roman">1,2,3,4,6,9,12,18,36</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>。</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>(</span><span &#718;><font face="Times New Roman">4</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>)练习巩固:</span><span &#718;><font face="Times New Roman">15</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>的倍数有(</span><span &#718;><span yes"><font face="Times New Roman">&nbsp;&nbsp;</font></span></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>),</span><span &#718;><font face="Times New Roman">16</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>的倍数有(</span><span &#718;><font face="Times New Roman"><span lang="EN-US"><span yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span></span></font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>)。</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>学生结合练习较好的归纳出方法:一对一对地想,一前一后地写。</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>(</span><span &#718;><font face="Times New Roman">5</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>)自主探究:观察上面几个例子,你发现一个数的因数有什么特点?</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>由于有了倍数的特征的学习与探究,学生很快地总结出一个数因数的特征:</span><span 楷体_GB2312; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;>一个数的因数的个数是有限的,其中最小的因数是<span lang="EN-US">1</span>,最大的因数是它本身</span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>。</span><span &#718;>&nbsp;</span><p 24pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 2.0" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &#718;&#805;; mso-ascii-font-family: &#718;>四、练习多样,发展学生思维:</span><span &#718;>&nbsp;</span><p 0cm 0cm 0pt" class="MsoNormal"><span &#718;><font face="Times New Roman">&nbsp;</font></span><p 0cm 0cm 0pt" class="MsoNormal"><span 14pt" lang="EN-US"><span 1"><font face="Times New Roman">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</font></span></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &quot;Times New Roman&quot;; mso-ascii-font-family: &quot;Times New Roman&quot;">练习是数学教学中重要的一环,因为通过形式多样的练习,可以帮助学生掌握重点、突破难点,消除盲点。孙老师十分重视练习的设计,针对性强,层次性清。他借用中央电视台青歌赛素质测试的方法,让学生自由选择题号,课件显示题目,调动了全体学生练习的积极性,使全体学生通过由浅入深,不同角度的练习巩固新知,训练学生思维的灵活性,敏捷性,达到了较好的教学效果。</span><span 12pt" lang="EN-US">&nbsp;</span><p 0cm 0cm 0pt" class="MsoNormal"><span 12pt" lang="EN-US"><span 1"><font face="Times New Roman">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</font></span></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &quot;Times New Roman&quot;; mso-ascii-font-family: &quot;Times New Roman&quot;">由于时间的限制,学生只选做了其中的</span><span 12pt" lang="EN-US"><font face="Times New Roman">3</font></span><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &quot;Times New Roman&quot;; mso-ascii-font-family: &quot;Times New Roman&quot;">题,但学生此时做题的积极性十分高涨,虽然下课的铃声已响,但学生还沉浸其中,不愿下课,使我们听课老师也身临其境,欲罢不能,体现了孙老师对习题的研究与运用的娴熟。</span><span 12pt" lang="EN-US">&nbsp;</span><p 23.15pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 1.93" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &quot;Times New Roman&quot;; mso-ascii-font-family: &quot;Times New Roman&quot;">听完课后,我特地向孙老师拷来了课件,原来后面还有更精彩的活动在后面,只不过由于学生自主探究的时间较长无法在课上完成,但我认为有必要将最后一题补充出来:</span><span 12pt" lang="EN-US">&nbsp;</span><p 20.25pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 1.93" class="MsoNormal"><span 楷体_GB2312"><font size="3">动动脑筋,走出教室<span lang="EN-US">&nbsp;</span></font></span><p 23.15pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 1.93" class="MsoNormal"><span 楷体_GB2312; FONT-SIZE: 12pt" lang="EN-US">1</span><span 楷体_GB2312; FONT-SIZE: 12pt">.教师出一个数,学生用今天所学的知识说一句话,设法使自己离开教室。<span lang="EN-US">&nbsp;</span></span><p 23.15pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 1.93" class="MsoNormal"><span 楷体_GB2312; FONT-SIZE: 12pt" lang="EN-US">2</span><span 楷体_GB2312; FONT-SIZE: 12pt">.想一想:出一个什么数,可以让所有同学都离开教室?<span lang="EN-US">&nbsp;</span></span><p 23.15pt; MARGIN: 0cm 0cm 0pt; mso-char-indent-count: 1.93" class="MsoNormal"><span 宋体; FONT-SIZE: 12pt; mso-hansi-font-family: &quot;Times New Roman&quot;; mso-ascii-font-family: &quot;Times New Roman&quot;">我想如果时间较为宽裕,这样的结束一定会更精彩!</span><span 12pt" lang="EN-US">&nbsp;</span><br/>
    方仁055 发表于:2011-4-29 8:43:59

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