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＜附錄一>
新竹市立 新竹市立 新竹市立
新竹市立新新新新新新國民中學新新國民中學國民中學 ________班________號 性別：_______ 國民中學
這是一份與數學有關的不計分問卷，請你依照你的認知來回答下列問題：
一、個人基本資料：
( 1 ) 在小學的時候，我的數學成績大約都是落在：
□１００分 □９９～９０ □８９～８０ □７９～７０ □７０以下
二、當我們提到牛頓，有人會聯想到蘋果、地心引力；當我們提到華盛頓，
有人會聯想到櫻桃樹、誠實；那麼當老師提到＂等號＂的時候，你又會聯 想到甚麼呢？或者，等號對你來說，具有甚麼樣的意義呢？請你試著把它 寫下來。
當我聽到或看到 當我聽到或看到 當我聽到或看到
當我聽到或看到「＝」「＝」「＝」「＝」、「「「等號「等號等號等號」」」」我會想到我會想到我會想到我會想到：：： ：
三、老師出了一個題目： 36＋12＝35＋( )，請問 ( ) 裡的答 案是多少？有四個同學提出了自己的想法，你覺得哪些同學說法是正確 的，請在□中打「V」。
□ 維維維維維維的想法維維的想法的想法：的想法：：：因為 36＋12＝48，所以( )裡的答案是「48」
□ 盛盛盛盛盛盛的想法盛盛的想法的想法：的想法：：：因為 36＋12＋35＝83，所以( )裡的答案是「83」
□ 琪琪琪琪琪琪的想法琪琪的想法的想法：的想法：：：因為 36＋12＝48，所以 35＋( )也是 48，
因此( )裡的答案是「13」
□ 佩佩佩佩佩佩的想法佩佩的想法的想法：的想法：：：因為 36 比 35 大 1 ，所以 12 要比( )小 1，
等號兩邊才會一樣大，因此( )裡的答案是「13」。
□ 以上都不是以上都不是以上都不是，( ) 裡的答案應該是 以上都不是
因為
。
四、35＋47＝82 是一個加法算式， 其中「＝」是等號：
以下是「＝」所代表的可能意思，只要你認為正確的，都可以在□中打「V」。 □ㄅ.答案是… □ㄆ.左右兩邊相等 □ㄇ.會得到…
□ㄈ.連接 35＋47 與答案 82 □ ㄉ.結果是… □ㄊ.兩邊的數量一樣大
五、選出你認為正確的答案：
1.( ) 48＝43＋5，這個算式正確嗎？
○1 錯誤，應該是 43＋5＝48 ○2 正確 ○3 錯誤，應該是 48－43＝5
2.( ) 32＝38－6，這個算式正確嗎？
○1 錯誤，應該是 38－6＝32 ○2 錯誤，應該是 38－32＝6 ○3 正確
3.( ) 36＝36，這個算式正確嗎？
○1 正確 ○2 錯誤，應該是 36－36＝0 ○3 錯誤，應該是 36＋0＝36
4.( ) 35＋15＝35＋15，這個算式正確嗎？
○1 錯誤，應該是 35＋15＝50
○2 錯誤，應該是 35＋15＋15＝65 ○3 正確 ○4 錯誤，應該是 35＋15＋35＝85
5.( ) 7＋8＝12＋3，這個算式正確嗎？
○1 錯誤，應該是 7＋8＋3＝18 ○2 正確 ○3 錯誤，應該是 7＋8＝15
○4 錯誤，應該是 7＋8＋12＝27
<附錄二>
新竹市立新竹市立
新竹市立新竹市立新新新新新新國民中學新新國民中學國民中學 ________班________號 性別：_______ 國民中學
這是一份與數學有關的不計分問卷，請你依照你的認知來回答下列問題：
一、個人基本資料：
( 1 ) 在小學的時候，我的數學成績大約都是落在：
□１００分 □９９～９０ □８９～８０ □７９～７０□７０以下 ( 2 ) 對於數學這個科目，我覺得它像哪一種食物？_______________
原因：_____________________________________________________
____________________________________________________________
二、35＋47＝82 是一個加法算式， 其中「＝」是等號：以下是「＝」所 代表的可能意思，只要是你認為正確的，都可以在□中打「V」。
□ㄅ.答案是… □ㄆ. 左右兩邊相等 □ㄇ.會得到…
□ㄈ.連接 35＋47 與答案 82 □ㄉ.結果是…□ㄊ.兩邊的數量一樣大 三、選出你認為正確的答案：
1.( )48＝43＋5，這個算式正確嗎？
○1 錯誤，應該是 43＋5＝48 ○2 正確 ○3 錯誤，應該是 48－43＝5
2.( )32＝38－6，這個算式正確嗎？
○1 錯誤，應該是 38－6＝32 ○2 錯誤，應該是 38－32＝6 ○3 正確
3.( )36＝36，這個算式正確嗎？
○1 正確 ○2 錯誤，應該是 36－36＝0 ○3 錯誤，應該是 36＋0＝36
4.( )35＋15＝35＋15，這個算式正確嗎？
○1 錯誤，應該是 35＋15＝50 ○2 錯誤，應該是 35＋15＋15＝65 ○3 正確 ○4 錯誤，應該是 35＋15＋35＝85 5.( )7＋8＝12＋3，這個算式正確嗎？
○1 錯誤，應該是 7＋8＋3＝18 ○2 正確
○3 錯誤，應該是 7＋8＝15 ○4 錯誤，應該是 7＋8＋12＝27
<附錄三>