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I am looking for studies which compare students who did not receive mathematical education beyond basic mthematics and those that learned maths upto introductory calculus, with the assumption that both groups recieved similar education in other subjects such as social sciences and natural sciences uptil average high school standards. Has it been found that there is a quantifiable difference in understanding, analytical ability etc between the two groups? In other words, what evidence is there that learning maths beyond the basics has benefited them at the stage of just having completed high school?

I understand a basic science curriculum in this case to include a little mathematics, which both groups should know, and for this purpose a notion of solving linear equations (and hence elementary algebra) besides arithmetic is included in basic mathematics. However, there is no trigonometry or geometry in a basic mathematics course, and in general a person learning basic mathematics knows no more then is the essential to understand basic science.

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Considering that majors in fields where higher math is a prerequisite (CS, EE, Physics, Math etc.) earn significantly larger salaries, I don't think there's any doubt that it benefited them. –  nbubis Sep 1 '13 at 5:45
That is not what I meant. I mean whether there is a benefit uptil the stage of end of their high school? Have they been found to have better understanding, better analytical abilities etc at that stage? Also, I am really looking for empirical studies. –  Shahab Sep 1 '13 at 5:52
@Shahab I am not sure I understand your question. How do you study social science/natural science without math education beyond basic arithmetic? –  scaaahu Sep 1 '13 at 5:53
@scaaahu: Why not? If you know basic arithmetic isn't it possible to learn study history, geography, civics, literature, science etc uptil high school level? Where does one use polynomial division in a history class? –  Shahab Sep 1 '13 at 5:57
@Potato: Not only quantitative ability, but also qualitative abilities such as decision making, critical thinking etc. In general what does mathematical training give exclusively (other then a knowledge of the subject), which a non mathematical trained person doesn't have? –  Shahab Sep 1 '13 at 6:19
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