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线段图上会面的两辆自行车
十一月三日，星期二，晴。
今天的数学作业里有一道行程问题把我难住了。两地相距48千米，甲乙两人同时骑自行车出发，相向而行，甲每小时行14千米，乙每小时行10千米，几小时后两人相遇？我把题目抄了三遍，画了三遍，越画越糊涂，相遇点怎么摆都不对。我盯着练习册，字都在眼前晃，橡皮被我捏出了一排牙印。
放学铃响了，周悦祥背着书包走到我跟前，趴过来看了一会儿，从本子上撕下一条草稿纸，画了一条长长的横线，两头标上A和B，线上面写48。「你是这辆自行车，我是那辆。」她把两支笔的笔尖按在线段两头，「同时出发。」两个笔尖往中间走，走到一处碰头。「你看，你走的路程加上我走的路程，正好是整条线段，48千米。」我一下子明白了，原来两个人不是抢路，是合伙把这条线分完。
她把草稿纸推到我面前，让我用自己的话再讲一遍。讲到一半我卡住了，她一点也不急，用笔点着线段图提醒我。讲完她在我本子角上画了个笑脸，说下次遇到行程问题，自己先画线段。
第二天大课间，她又考了我一遍变过来的题，两个人错开一小时出发。我画了线段，把先走的那一小时圈出来，一口气算对了。她冲我竖大拇指，我捏着草稿纸傻笑。
周五单元测验真有一道差不多的题。我先画线段图，再列式，算完又代回去验算。发卷子那天我考了92分，上个月我才78。回家我把卷子递给妈妈，她说我脸上都是光。
写日记的时候我想谢谢周悦祥。她说下回教我工程问题，我说那我教她背英语单词。我们拉了钩，拉得可认真了。互相帮助真好。
Two Bicycles Meeting on a Line Segment
November third, Tuesday, sunny.
Today there was one travel problem in the math homework that I could not do. Two places are 48 kilometers apart. Person A and person B set out at the same time on bicycles toward each other; person A rides 14 kilometers an hour, person B rides 10 kilometers an hour. After how many hours do they meet? I copied the problem three times and drew it three times, and the more I drew the more muddled I became, with the meeting point always in the wrong place. I stared at the workbook, and the words swam before my eyes, and I left a row of tooth marks in my eraser without noticing.
When the bell rang for after school, Zhou Yuexiang came to my desk with her schoolbag on her back. She put her head over and looked for a while, then tore a long strip from her scratch paper, drew a long horizontal line, marked the two ends A and B, and wrote 48 above the line. You are this bicycle, and I am that one, she said, pressing the tips of two pencils on the two ends of the line. We start at the same time. The two pencil tips moved toward each other and met at one point. Look, the distance you ride plus the distance I ride is exactly the whole line, 48 kilometers. In a flash I understood. The two riders were not fighting over the road; together they were sharing this line.
She pushed the scratch paper in front of me and asked me to explain it once in my own words. When I got stuck at one place, she was not impatient at all. She only pointed at the line graph with her pencil and helped me start again. When I finished, she drew a smiley face in the corner of my notebook and said that next time I meet a travel problem I should draw the line myself.
The next day during the long break she tested me again with a changed version, in which the two riders start one hour apart. I drew the line, circled the one hour that was already ridden, and solved it in one go. She gave me a thumbs up, and I stood there holding the scratch paper and grinning.
The unit test on Friday really had a problem of this kind. I first drew a line graph, then set up the equation, and after finishing I put the answer back to check it. When the papers came back, I had 92 points. Last month I only had 78. At home I showed the paper to my mother, and she said my face was shining with joy.
Writing this diary I want to thank Zhou Yuexiang. She said next she will teach me work problems, and I said I will teach her English words in return. We hooked little fingers, very seriously. Helping each other is the best.
错题本上的红笔和蓝笔
十一月十日，星期二，阴。
数学卷子发下来，76分，倒数第三道应用题又错了。同样是分数应用题，上次错「比多比少」，这次错「谁是谁的几分之几」。我把卷子塞进桌肚，不想让同桌看见。
马一诺是我的同桌，数学一直在前头。她看见我塞卷子，直接把卷子从桌肚里抽出来，说别藏，藏起来它明天还错。她从书包里拿出一个蓝皮本子，封面写着「错题本」三个字，说她的借我抄一半，让我准备一个红笔一个蓝笔。我不明白要两支笔干什么，她把蓝笔往我手里一塞：「我讲的时候你用蓝笔，我不动笔。」
她讲题有个毛病，爱举买橘子的例子。这道题「男生比女生多三分之一」，她说把女生想成一筐橘子，男生就是这筐橘子再添上三分之一筐。她问三分之一筐是哪来的，我说从女生那筐里拿的，她笔尖一点：「对，单位一是女生。」那天晚上我把三道错过的题全重做，每道题都在「谁」字底下画圈。红笔写的答案，蓝笔写的思路，本子上一页红一半蓝一半，像两块拼布。
她每天放学前抽查我两道，答错了她不笑我，就翻回上一页让我看她当时画的橘子筐。有一道我连着错了两天，第三天她换了个例子，改买西瓜，我当场就做出来了。我们在错题本最后一页写：橘子不行就换西瓜。
期中考试，数学91分，我上六年级以来第一次上90。最后一道应用题我做完了还回头检查，把「比」字圈了出来。马一诺看了看我的卷子，在她的错题本上抄走了我错的那道填空，说她也得进步。
我的错题本写到半本了。翻开全是红一半蓝一半的页子。我想，等写满这本，我的数学就不会再拖全班后腿了。谢谢马一诺，还有谢谢那一筐一筐的橘子。
The Red Pen and the Blue Pen in the Mistake Notebook
November tenth, Tuesday, cloudy.
The math paper came back today, 76 points, and I got the third problem from the end wrong again. It was another fraction word problem. Last time I missed the part about more than and less than, and this time I missed who is a fraction of whom. I pushed the paper into my desk pocket and did not want my deskmate to see it.
Ma Yinuo sits beside me and always stays near the top in math. She saw me hide the paper and pulled it straight out of the pocket. She said do not hide it, because if you hide it, it will be wrong again tomorrow. She took a blue notebook out of her bag with the words mistake notebook on the cover, and said I could copy half of hers, and that I should get one red pen and one blue pen. I did not understand why I needed two pens. She put the blue one into my hand and said that while she explains, I write in blue, and she does not write at all.
She has one habit when explaining problems: she loves to use examples about buying oranges. For this problem, in which the boys are one third more than the girls, she said to think of the girls as one basket of oranges, and the boys as this basket with one third of a basket added. She asked where the third basket comes from. I said it comes out of the basket of the girls. She touched the line with her pen tip and said exactly, the girls are the unit one. That evening I redid all three problems I had missed, and under every who I drew a circle. The answers were in red pen and the thinking was in blue pen, so each page looked half red and half blue, like two pieces of patchwork.
Every day before school ended she quizzed me on two problems. When I got one wrong she did not laugh at me. She only turned back to the earlier page and let me look at the basket of oranges she had drawn then. One problem I got wrong two days in a row. On the third day she changed the example to buying watermelon, and I solved it on the spot. On the last page of the mistake notebook we wrote: if oranges do not work, switch to watermelon.
In the midterm exam I got 91 in math, my first time above 90 since Grade six. I finished the last word problem and went back to check, circling the word for than. Ma Yinuo looked at my paper and copied the one blank I missed into her own notebook, saying she also has to improve.
My mistake notebook is now half full. Every page is half red and half blue. I think when this notebook is full, my math will stop dragging the class behind. Thank you, Ma Yinuo, and thank you to basket after basket of oranges.
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