Building the Learning Path of Mathematical Creative Thinking of Students on Geometry Topics by Implementing Metacognitive Approach

Abstract

Prior knowledge becomes the most crucial thing that allows students to connect all existing information so that they can construct new knowledge through assimilation or accommodation processes. The aims of this research is to (1) analyze students' initial knowledge of what they miss or forget so they have difficulty answering the given geometry, (2) know the impact of Hypothetical Learning Trajectory (HLT) or learning path of creative thinking of students with the application of metacognitive approach . This type of research is Design Research in term of improving the quality of learning related to understanding the concept of Geometry. This study shows that prior knowledge becomes important to build students' mathematical creative ability to gain new knowledge of geometry. The most interesting topic is the area of the rectangle. The results of the study found that (1) the students were not creative yet or not able to get out of the existing flat pattern. Students are inseparable from the shape and drawing of the flat figure which is exactly the same as the available question, (2) there are five phases of learning path of hierarchical creative thinking of mathematics, that is orientation to problem, problem solving plan, plan realization, mastery of previous knowledge / concept of creativity mathematics and evaluation of the results obtained.

Self-regulated Learning and Metacognitive Ability in Neuroscience

“…The results of Corno's research in [6] show several characteristics of learners who learn self-regulated, one of which is planning and controlling time, the effort used for tasks, knowing how to create and build a good learning environment, such as finding a suitable place to study matching and helpseeking when encountering difficulties. The whole explanation is corroborated by the results of research by [3] that the metacognitive approach is able to develop independent learning so that it is recommended in its use.…”