Mathematics can be concrete and use reason as a way of knowing. These are learned concepts with repetitive procedure. Critical thinking is a type of reasoning that uses logic that will never deviate. The early concepts of mathematics taught in schools are thought to be concrete with fixed steps and formulas for solving problems. One only has to think about the steps previously taught and accept them to be true. The concepts can only be accepted to be true by using the skills to process and generate information and belief. The use of the skills as an “exercise” with no meaning or understanding is not critical thinking however. It is always believed that the area of a right triangle is one half the base times the height. Reasoning can be used through the drawing of a grid to prove this formula to be true. Therefore, mathematics uses critical thinking as a way of known skills to guide behavior based on intellectual commit...
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...been generated over time through develops in technology, scientific advancements as well as advancements in math and the arts. Architecture and engineering incorporates math and the arts through designing buildings or constructing bridges using both creative and critical thinking. Another example is computer graphics pertaining to the incorporation of math and arts. This knowledge is generated over time through developments in technology from pushing new limits and expanding on old ideas. Both critical thinking and creative thinking are needed to generate new knowledge.
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