“CRITICAL THINKING IS a desire to seek, patience to doubt, fondness to meditate, slowness to assert, readiness to consider, carefulness to dispose and set in order; and hatred for every kind of imposture.” – Francis Bacon (1605)
There are creative problems in mathematics between abstraction and application, beauty and utility, between a hunt for unity and a desire to take care of phenomena meticulously. On one hand, mathematics depends on both logic and creativity, and it is pursued both for a variety of practical purposes and for its intrinsic interest.
Mathematical creativity ensures the growth of the field of mathematics as a whole. Mathematics deals with mental constructions, which are immediately grasped by the mind; it does not make sense to think of truth and falsity of a mathematical statement independently of our knowledge concerning the statement. Math teaches logic and order. You can expect a mathematical equation to have a predictable outcome, and precise steps must be followed in order to attain that result. The discipline of mind that students develop in math class can carry over into everyday life. Math can also provide a vehicle through which critical-thinking skills are put into practice and refined. An example of mathematical critical thinking is when students are required to explain how they arrived at a solution to a complex problem or to describe the ideas behind a formula or procedure.
Creativity is a process of becoming sensitive to problems, deficiencies, gaps in knowledge, missing elements, disharmonies, and so on; identifying the difficult; searching for solutions, making guesses or formulating hypotheses about essence of Mathematics; testing and re-testing these hypotheses and possibly modifying and re-testing them; and finally communicating the results.
We develop in our students creative thinking by avoiding traditional methods based on memorization, remembering, and authoritarian style, instead we use modern methods in treating the subject in teaching matter which is purely based on the learner, and works to establish democratic relations and encourage students’ questions, different ideas, encourage dialogue and discussion and cooperative learning. Our faculty plays important and essential role in the students overall development of creative thinking, developing new methods of teaching without relying on one way, and use exciting means in teaching, respect students’ mentality, care about them and encourage them to display their own abilities in solving mathematical problems.
Finally, Critical Thinking Skills help to better understand the experiences and views of others, enhance ability to work with different people.