📚 Common Mistakes in Mathematics for the International Student | 国际学生数学常见错误总结
Mathematics can be particularly challenging for international students, who must not only master concepts but also navigate the language of instruction. Common errors arise from misreading word problems, misapplying rules, and careless algebraic manipulation. This article highlights frequent pitfalls and how to avoid them, helping learners build confidence and accuracy.
数学对国际学生尤其具有挑战性，他们不仅要掌握概念，还要适应教学语言。常见错误源于误读应用题、误用规则以及粗心的代数运算。本文重点指出这些常见陷阱及避免方法，帮助学习者建立信心和准确性。
1. Misinterpreting Mathematical Vocabulary | 误解数学词汇
Many word problems in international mathematics textbooks use specific English terms. Students whose first language is not English often confuse 'sum' (addition), 'difference' (subtraction), 'product' (multiplication), and 'quotient' (division). Misreading these leads directly to incorrect equations.
国际数学教材中的许多应用题使用特定的英语术语。母语非英语的学生经常混淆“和”（加法）、“差”（减法）、“积”（乘法）与“商”（除法）。误读这些词会直接导致方程列错。
For example, 'the product of 8 and a number' should be expressed as 8x, but some write 8 + x. Similarly, 'five less than y' means y − 5, not 5 − y.
例如，“8与一个数的积”应表示为8x，但有人会写成8 + x。类似地，“比y小5”的意思是y − 5，而不是5 − y。
| Phrase (English) | Wrong Expression | Correct Expression |
|---|---|---|
| Twice the sum of x and 3 | 2x + 3 | 2(x + 3) |
| The quotient of y and 4 | 4/y | y/4 |
Phrases like 'twice the sum of a number and 3' require parentheses. Missing them results in an incorrect expression. Always translate word problems step by step, identifying operations and order.
像“一个数与3的和的两倍”这样的短语需要加括号。漏掉括号会导致错误表达式。务必逐步翻译应用题，先识别运算及其顺序。
2. Order of Operations Errors | 运算顺序错误
A typical error is performing addition before multiplication. For instance, 4 + 5 × 2 is wrongly evaluated as (4+5)×2 = 18.
运算顺序助记符 BODMAS 或 PEMDAS 常被记住但应用错误。典型错误是先做加法
Published by TutorHao | Mathematics Revision Series | aleveler.com
更多咨询请联系16621398022（同微信）
或截图后用「扫一扫 → 相册」选择本图