Metacognition and mathematical problem solving - SINGAPORE.
If students are to be more successful, teachers should pair instruction on cognitive strategies with that of metacognitive strategies —strategies that enable students to become aware of how they think when solving mathematics problems.
Metacognitive Aspect of mathematics Problem Solving. Hwa Tee Yong and Lau Ngee Kiong. MARA University of Technology Malaysia. Abstract. If students are to excel on both the routine mathematics skills and the problem-solving skills, teachers must place emphasis on both the mathematical contents and the mathematical processes in the teaching and learning of mathematics.
Applying the principles of metacognition in mathematics is not just about creating harder problems, it’s about demanding more thinking. Metacognition refers to higher order thinking which involves active control over the cognitive processes engaged in learning.
Schoenfeld proposed that we teach students how to have good metacognitive control of their problem-solving and work processes. Classroom methods he has used include showing videotapes of different kinds of problem solving, so that the class can analyze them; role-modeling problem solving for his students; serving as the “control” for the class; and asking students to analyze their own.
In courses that require problem solving, explaining the steps aloud will ensure you really understand them and expose any gaps in knowledge that you might have. Ask yourself questions about what you are doing and why. Ask yourself questions. Asking self-reflective questions is key to metacognition.
European Journal of Psvcltology of Education 2W3, vol. XVIII, 3.-581-294 0 I.S.P.A. Metacognitive factors in scientific problem- solving strategies.
Problem-solving abilities influenced beliefs and metacognition. Metacognition as superordinate capabilities can direct, regulate cognition and motivation and then problem-solving processes. This study aims to (1) test and analyzes the quality of problem-based learning and (2) investigate the problem-solving capabilities based on metacognition.