How does CRITICAL THINKING apply to MATHEMATICS?

Question

It is easy to see how critical thinking applies to sociology, political science, literature, etc, because these fields allow for diversity of opinion. Math on the other hand is not really based on opinion.

Does critical thinking apply to mathematics, and if so how?

This is an open ended question, so feel free to elaborate.

Answer 1

Of course critical thinking applies to mathematics.

F'rinstance...
I'll disagree with your premise that math is not really based on opinion. Certainly there is not too too much opinion and critical thinking involved in the solution of simple arithmetic problems. For a research mathematician, however, what problems to pursue, what's important, what's interesting, what's "sexy", what can I get funding for... critical thinking and opinion may play some small role. I mean nonparametric Bayesian inference is sooooo yesterday!

Answer 2

i might decide for the organic arithmetic of Oregon State. the clarification in the back of that's that utilized is basically too slender a concentration and too direct. utilized additionally limits the place you could circulate with it. I even have an utilized buddies and it relatively is totally slender, yet a minimum of it relatively is authorized so i'm able to take it larger. additionally, countless the institutes that grant classes of learn, their instructions are not authorized for referral into even larger studying. i understand a number of persons that are regretting taking the institute course in diverse fields as they found out too previous due that they wasted their time. a school is in many situations consistently authorized, the place an institute can lose its accreditation farther down the line; then you extremely're sunk. superb of success to you and that i think of your organization is wonderful!

Answer 3

I think if you are talking about mathematical modeling, there is plenty of room for opinion since, for the most part, many of the areas that are being modeled have rarely or never been studied. The experiments to conduct, variables to use, and equations to be derived can all be matters of opinion when you are modeling. Now, the accuracy of the final model may be affected by what you decide to choose, but that is another model itself.

Answer 4

math is based on fact but there are many different approaches to facts as well. in math there are many ways to prove a theorem. this itself allows for creativity and critical thinking.