Reflective Inquiry: Why Area is Never Negative? Almas Fitri Hanifat(a*) , Didi Suryadi (b), Encum Sumiaty (b)
a) Faculty of Mathematics Education, Indonesia Unversity of Education Jalan Dr. Setiabudhi No. 229, Bandung 40154, Indonesia
*almasfitri[at]gmail.com
b) School of Postgraduate, Indonesia, University of Education Jalan Dr. Setiabudhi No. 229, Bandung 40154, Indonesia
Abstract
Reflective Thinking is an important process for an educator to be more professional. Educator can practice reflective thinking with doing reflective inquiry. The reflective inquiry gas a doctrine, that we not receive immediately something into information, but its require examined and proven to be accepted as information. Information that examine in this inquiry is statement about area is never negative. A deep inquiry to prove that area is never negative lead to a re-reconstruction of the belief system within self, thereby generating new perspective and providing alternative solution to answer why area is never negative? Although its not clearly defined that area is never negative, why people accept is as a common sense? What underlies that area is never negative, even teacher itself dont know the reason? Doesnt teaching without understanding is consider as irresponsible action to student? Worried with this condition researcher try to figure it out and prove area is never negative with relation between measure, metric, dimension, length, and area in real set. Measure is foundation in this relation, with measure defined nonnegative, causes metric and dimension defined with nonnegative value. Resulting length as measure in dimension one is nonnegative and proven that area is never negative
