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	<title>數學奠基 &#8211; 林怡辰老師的國小作文教學日誌</title>
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		<title>數學奠基活動二三四-高年級七巧板、長方形數、找到正方形，好玩耶！</title>
		<link>https://yichanlin.com/2018/01/blog-post_87.html</link>
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		<pubDate>Tue, 30 Jan 2018 23:21:00 +0000</pubDate>
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		<category><![CDATA[數學奠基]]></category>
		<category><![CDATA[數學好好玩]]></category>
		<category><![CDATA[數學教學]]></category>
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					<description><![CDATA[&#160;今天一開始就是開心的開始，老師請吃買當勞早餐～（當然不含含糖飲料） 前情提要： 數學奠基活動一：高 &#8230; ]]></description>
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<p>&nbsp;今天一開始就是開心的開始，老師請吃買當勞早餐～（當然不含含糖飲料）</p>
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前情提要：</p>
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數學奠基活動一：高年級-數字賓果</h3>
<p><a href="https://yichanlin.com/2018/01/blog-post_26.html">https://yichanlin.com/2018/01/blog-post_26.html</a></p>
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上次的數字賓果，造成尖叫聲連連，不過可惜的是我總覺的沒有最後統整。</p>
<p>因此，這次一上課就先統整。</p>
<p>果然，即使是週五上的課，記憶依然很深刻，馬上可以想到兔子和雞相差二，再繼續去思考。</p>
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<img decoding="async" border="0" data-original-height="1200" data-original-width="1600" height="480" src="https://yichanlin.com/wp-content/uploads/2018/01/IMG_7504.jpg" width="640" /></p>
<p>幾乎每一組都很快可以解題。不過小組中當然還使有些孩子要停留在一定要畫圖表徵，也沒關係，因為看見低層次的孩子，以前都不願意解題，現在會說：不會很難，我可以畫圖，真的是太令人感動了！</p>
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<p>&nbsp;哈哈，一邊吃早餐一邊解題，動力十足！</p>
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接下來，就要進到新單元：七巧板</p>
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<p>&nbsp;首先，先發下七巧板，其實孩子有實務可以接觸，眼神舊部一樣。</p>
<p>分別引導孩子觀察面積大小形狀的關係。</p>
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先思考，兩片正方形怎拼呢？</div>
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兩片三角形呢？</div>
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有些孩子不小心拼到後面的答案，也都可以先寫上去喔！</div>
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在過程中，發現因為和數字關係比較小，所以其實大部份的孩子都操作得很開心。</div>
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在沒有提示的情況下，一部分的孩子會思考有沒有規律，有些孩子就亂湊。</div>
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提示1、2及3、5兩種都是一樣的，所以可以多找到一組答案。</div>
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慢慢的，請找得比較快的孩子發表找的方法。</div>
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如兩個小三角形可以成為一個大的三角形，也可以成為正方形。所以，1、2可以有的變化，3、5也可以有。</div>
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而3、5、7合起來和1一樣大，因此，很快的就可以找到4片的三角形和4片的正方形。</div>
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另外是，4、6、7三個面積一樣，因此，只要找到其中一個由3、5、7其中之一排列出來的圖形，很快又可以找到另外兩組的答案&#8230;&#8230;</div>
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而後面雖然看起來更多片，好像比較複雜。但其實，只要加入上面三片長方形的組合，馬上就可以找到三組不一樣的答案。</p>
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前面到這裡，因為孩子都很認真思考，也很專心想要找出比老師更多組答案的可能，因此兩邊都很忙，找完六片組合，大家都累了，趕緊拍拍手，下課休息一下。</p>
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因前面已經花了不少時間，因此，接下來就請孩子練習用七巧板嘗試排出不同的圖形，排出一個可以加五分。</div>
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簡直就是全班動起來！</div>
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瞧瞧這個全班超級認真的樣子！</div>
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小組合作！&nbsp;</div>
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接下來的時間，我就在一個個的呼喊聲中，開心的拍照，每一組都有成功！</div>
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<p>
認真思考學習的畫面，真的令老師感動阿！</p>
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&nbsp;都忙到沒空理老師這樣！</div>
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還有幾個都激動的站了起來。&nbsp;</div>
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一樣，有些組別可以有六個答案，有些組別只有一兩個，請比較快的組別分享方法。他們說：我們有用鉛筆先劃一下，小的一定是小塊的組成，大塊的有可能由小的組合而成。</p>
<p>真的太棒了！數學，就是希望你們思考啊！</p>
<p>接下來，我選擇長方形數和找到正方形。雖然這兩個單元對於寒假的五六年級孩子來說，都已經上過了，但其中還是有好幾個孩子概念不是很清楚，因此，當成補救教學也很有用啊！</p>
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請孩子上台排排看長方形數。</p>
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<p>並取得共識。</p>
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全班一起練習。</p>
<p>讓小組進行一下PK</p>
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最後進行命名~</div>
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找到正方形，其實就是公因數的活動。</div>
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18*12的地磚，可以由1*1的地磚（不能切割）鋪設而成嗎？2*2呢？3*3呢？&#8230;&#8230;</div>
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實際做看看。</div>
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可以由3*3的地磚排成ㄟ！</div>
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這個是哪個單元呢？為什麼可以呢？請你用數學的語言說看看。</div>
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（其中一個孩子說道：喔！我現在終於知道為何10*10不行了！）</div>
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<p>
最後老師進行統整，高層次的孩子給紅色比較難的問題。</p>
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好幾個孩子都可以答出比較難的題目，也可清楚說明，真不錯！這個活動真的很適合公因數之前先進行奠基啊！</p>
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<span style="background-color: yellow;">省思：</span>這天因為是第二天，和孩子也比較熟悉，因此掌控程度和教學速度上熟捻不少，效果也相當好。</p>
<p>加上孩子有第一天的經驗，知道營隊以遊戲為主，和課堂數學挫折沒有太大相關，已經比較不害怕，所以學習成效也相當良好，反應在他們的回饋上：</p>
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<p>
還想玩數學遊戲，不錯啊！</p>
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可以動腦，下次還想要來！</div>
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聽到其他同學說七巧板要看面積，自己沒有想到。還想學習國一的數學ㄟ！&nbsp;</div>
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很好玩、很開心、很想和家人分享！</div>
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只要動手玩，就會變得簡單。</div>
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&nbsp;可以透過教具學習數學，增加理解。</div>
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沒想到七巧板有這多的變化。</div>
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最喜歡「找到正方形」ㄟ～&nbsp;</div>
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找到正方形可以有心象！</div>
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以前上課不知道怎樣解題，上玩數學營之後就了解怎解題了！&nbsp;</div>
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&nbsp;數學變簡單了！有可以簡單學除法的單元嗎？</div>
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&nbsp;比死板的教學更好。可以知道某數是不是另外兩數的公因數。</div>
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&nbsp;下次還要來ㄟ～</div>
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&nbsp;長方形數也有擁護者啦！</div>
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&nbsp;一定要來參加</div>
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&nbsp;玩遊戲還可以動腦，還有更難的嗎？</div>
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&nbsp;玩得很開心，覺得很好玩、很簡單！</div>
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玩的過程中，覺得面積其實很簡單。</div>
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&nbsp;本來面積很差，玩過之後就覺得很厲害。</div>
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七巧板就是比較大人的拼圖。</div>
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<span style="color: red;">這幾個單元，覺得對高年級的雞兔同籠、複合圖形、排列組合、空間敏銳度、因數、公因數都有很大的幫助。</span></div>
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<span style="color: red;">更重要的是，孩子覺得很好玩、很簡單、還想再玩、很開心。如果每堂課都可以像奠基，怎還會有孩子從數學逃走呢？</span></div>
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