When children study a type of math and then take a test on it.
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A mathematical investigation might be demonstrated by a situation where someone gets a math problem and tries to sort it out. Normally a mathematical investigation has a question to answer or a problem to solve. The field of statistics is populated largely by mathematical investigation. And a link is provided to the excellent Wikipedia on that topic. Surf on over and read just the first paragraph....
Math is used by police officers as a part of many investigations. Measurements and calculations are very often needed for a traffic accident or investigation of a crime scene. The forensic experts use math to determine how and when some crimes have occurred.
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Math is related to math because math(1) is technically math(2) itself, because there is really no description how math(1) is the same as math(2). There is only one math, except for types of math, like algebra.
Math is not just math you have to study it like subtration and addition. You use it on sheets or paper work.