中文导读 数学知识是层层递进的：前一个知识点没弄懂，后面的学习就会更吃力。英格兰诺丁汉大学数学教育观察中心（Observatory for Mathematical Education）10月23日发布了第二份全国数学教育评估，数据来自全英格兰数百所学校约5万名学生、家长和教师。评估发现，八年级学生中有18%认为课堂在他们理解之前就转入了新内容；而在此前数学成绩较差的学生中，这一比例超过三分之一。研究者担心，知识漏洞可能在中学阶段不断累积。评估还发现，女孩对数学的焦虑会随年级升高而明显增加。文章按“现象—数据—原因—局限”展开，阅读时可留意 however、rather than、even when 等表达如何构成对比与限定。
正文 In many maths classrooms , a lesson ends and the class moves on to a new topic the next day . But a large new review from England suggests that some students are being left behind before they have understood what they were taught . Its findings raise an important question : what happens to a gap in knowledge when nobody has time to fill it ?
本段译文 在许多数学课堂上，一节课结束后，第二天全班就转入新的知识点。但英格兰一项大型新评估显示，一些学生在还没弄懂所学内容之前，就已经被落下了。这些发现提出了一个重要问题：当没有人有时间去弥补知识上的漏洞时，这个漏洞会怎样？
The review was produced by the Observatory for Mathematical Education at the University of Nottingham and published on 23 October . It is based on responses from around 50,000 students , parents , teachers and curriculum leaders in 174 primary schools , 148 secondary schools and 41 sixth - form colleges . The researchers are following three groups of learners over several years to see how attitudes change with age .
本段译文 这份评估由诺丁汉大学数学教育观察中心编写，于10月23日发布。它基于来自174所小学、148所中学和41所六年级学院（sixth-form colleges）约5万名学生、家长、教师和课程负责人的回答。研究人员正在对三组学习者进行多年跟踪，以观察他们的态度如何随年龄变化。
One part of the study looked at Year 8, when students are about 12 or 13. They were asked whether they agreed with the statement “I understand topics before we move on .” Overall , 18 percent gave a negative answer . Among students who had done less well in maths before , however , more than a third disagreed . Among the students with the highest earlier results , only 9 percent did .
本段译文 研究的一部分关注八年级（Year 8）学生，他们大约12或13岁。学生被问到是否同意“在转入下一个内容之前，我已经理解了当前的知识点”这一说法。总体来看，18%的学生给出了否定回答。然而，在此前数学成绩较差的学生中，超过三分之一表示不同意；而在此前成绩最好的学生中，这一比例只有9%。
This matters because maths builds on itself England’s current approach , called Teaching for Mastery , aims to make sure that nearly all pupils understand each topic well , so that it can support what comes next . Most Year 8 teachers , 62 percent , said they usually wait until all pupils are ready before starting a new topic . But 23 percent said they regularly move on before they think everyone is ready . The university warned that knowledge gaps “may be accumulating rather than closing ” as students go through secondary school .
本段译文 这一点之所以重要，是因为数学是层层递进的。英格兰目前采用的“掌握式教学”（Teaching for Mastery）旨在确保几乎所有学生都能很好地理解每个知识点，从而为后续学习打下基础。大多数八年级教师（62%）表示，他们通常会等所有学生都准备好之后再开始新的知识点。但有23%的教师表示，他们经常在认为并非所有人都准备好时就继续推进。该大学警告说，随着学生升入中学高年级，知识漏洞“可能在不断累积，而不是逐渐缩小”。
The review also found differences between boys and girls that grow with age . In Year 1, girls were only slightly more likely than boys to feel worried if they could not answer maths questions quickly , 52 percent against 48 percent . By Year 8, girls were clearly more likely to report anxiety about maths , even when students with similar earlier results were compared . The researchers suggest this may help explain why fewer young women choose maths at higher levels
本段译文 评估还发现，男孩和女孩之间的差异会随着年龄增长而扩大。在一年级（Year 1），如果不能快速回答数学题，女孩感到担心的比例只比男孩略高，分别为52%和48%。到了八年级，即使在比较此前成绩相近的学生时，女孩报告对数学感到焦虑的可能性也明显高于男孩。研究人员认为，这或许有助于解释为什么在更高阶段选择数学的年轻女性较少。
These findings come from what students and teachers report , so they show feelings and habits rather than test scores . Still , they point to a practical problem . When a lesson moves on too soon , the students who most need extra time may be the ones who quietly fall further behind .
本段译文 这些发现来自学生和教师的自我报告，因此反映的是感受和习惯，而不是考试分数。尽管如此，它们指出了一个现实问题：当课堂进度推进得太快时，最需要额外时间的学生，可能正是那些悄悄地越落越远的人。
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