同学们在参加美国 Math League的活动及用英语学习数学的时候， 时常会遇到难以确切理解的单词及题意， 这里有几个方面的原因，一个是英文数学词汇不熟悉，一个是英文阅读理解的能力。 此课程重点讲述中国学生比较容易混淆和出错的英文数学词汇、不容易精确理解的语句和段落， 提高学生的数学英文阅读理解能力。 由美方资深教授授课(中英文双语)。 作为参考，以下列出了中国学生比较容易混淆和出错、或者难以理解的部分英文数学词汇和语句。

• 以下几个问题的确切意思是什么?
  
  • A farmer was asked how many pigs he had. “Well,” he said, “if I had just as many more again, plus half as many more, plus another 1.5 times more, I would have three dozen.” How many pigs did he have?
    
  • The 2nd act of a 3-act play is 1/3 the length of the entire play. If the 1st act is twice as long as the 3rd, what fraction of the play is the 3rd act?
    
  • The product of four 4s equals the sum of   ?   4s.


• ratio (比和比例) and percentage (百分数、百分比) - 以下4个题目的确切意思是什么?
  
          21 of 2% fat milk + 31 of 3% fat milk = 51 of   ?%   fat milk.
  
          Lee the crow ate a grams of feed that was 1% seed, b grams of feed that was 2% seed, and c grams of feed that was 3% seed. If combined, all the feed he ate was 1.5% seed. What is a in terms of b and c?
  
          If a bank were to raise the interest rate on a savings account from 3% to 4%, why is the statement that "the interest rate was increased by 1%" ambiguous? What should one say about the interest rate exactly?
  
          How do percent changes applied sequentially add up? For example, if a 10% increase in price (on a $200 item) is followed by a 10% decrease in the price, what will the final price be?
  
  


• What are the differences between the three phrases, "from A to B, inclusive", "between A and B", "between A and B, inclusive"?


• inscribe, circumscribe, incircle, circumcircle 各是什么意思？
  • The polygon is circumscribed by the circle.
  • The circle is circumscribed about the polygon.
  • A square is inscribed in a circle.
  • One circle is inscribed in, and a second circle is circumscribed about, a regular pentagon.
  • 用英文如何精确描述下图中四个图形(一个等边三角形、一个正方形、一个内切圆、一个外接圆)的相对位置？
    
    


• "cut x by y" 是 x - y 还是 y - x?
  How much is cutting x by two-thirds?


• "三角形的边长为整数"、"四舍五入到百位数"、"四舍五入到小数点后面4位"等英语怎么说？


• "除"、"除以"的表述 - 以下表达式各是什么意思?
  
          "a is divisible by b"
          "a divides b"
          "a is divided by b"
          "divide a by b"
          "divide a into b"
          How many positive integers leave a remainder of 20 when divided into 2020?
              - 对于这些正整数 n，是 2020 除以 n 的余数是 20，还是 n 除以 2020 的余数是 20?
  
  
• David is 3 times faster than Kevin. David's speed = (3 * Kevin's speed) or David's speed = (4 * Kevin's speed)?