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Creative and Critical Thinking Essay

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Knowledge is generated through critical and creative thinking. Creative thinking is something new or original that is created with value. Critical thinking is a type of thinking that questions assumptions and validates or invalidates a current belief or something that is said to be previously true. Knowledge is created through the culmination of generally accepted assumptions and creativity. How do you separate general assumptions and creativity? These two types of thinking can be easily separated in regards to concrete or realistic ideas compared to abstract or original ideas however to generate new, acceptable knowledge critical and creative thinking must interact together. The questioning of established beliefs with the creation of …show more content…

Knowledge must have background facts to be considered true and mathematics must use reason to justify their formulas or methods. For example, memorizing the area under a bell curve is very different from understanding how it is derived. Proofs are useful when proving mathematical concepts although they are not concrete and harder to understand. Creative aspects must be considered when trying to derive a difficult proof. Creative problem solving involving mathematics can use sense perception as a way of knowing. In these problems, real life situations allow for the organization of ideas and require that the student’s attention be focused on the actual understanding of the concepts rather than the usual memorization of facts from concrete problems. For example, calculating the replanting of trees in a forest would depend on the circumstances surrounding the problems and factors would be dependant on the situation. Is creating a personal solution to the problems more effective than searching for existing solutions? In regards to mathematics, if a solution is known to exist using methods already established, there is no need to search for additional or new solutions. There are always exceptions to any case and new knowledge could form from a completely new and personal solution. This could create new knowledge using creative thinking and could also create a more efficient solution to the one previously used. Applied mathematics uses both

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