Abstract
Learning mathematics until today still left a lot of records that had to be improved, including passive learning, low ability of learners in problem-solving activities, the rarity of authentic assessment, emphasizing only on cognition, and others. This was a study of the literatures concerning the teaching of metacognition in mathematical problem solving. The PME learning model was a modified theory of Darling-Hammond (2003), which was a theoretical-conceptual product that offered the strategies to improve the ability of metacognition in problem solving. This metacognition strategies implemented through metacognitive activities, ie : planning, monitoring, and evaluating (PME). On PME learning model: (1) the activity planning, monitoring, evaluating explicitly raised in the core activities of learning and mathematical problem-solving activities; (2) the learning process recommended using social constructivist teaching in small groups; (3) placing the role and duties of teachers as counselors, classroom manager, motivator, facilitator, and evaluator; (4) The support system for the effectiveness of PME learning model were: Lesson Plan (LP) and Worksheet for students (WS); and (5) the direct effect was expected increasing of the metacognition ability, and the nurturant effect was expected to increase in problem solving performance.
Highlights
Mathematics learning should not just lead learners could complete a task, where they related to problems and new ideas, and an attempt to keep the learners’ response to always be involved in the learning process
According Maccini & Gagnon (2002: 1), traditional education focused on operational calculations rather than on activities of thinking and problem solving, contrary with a new approach that puts greater emphasis on conceptual knowledge
The new approach focused on conceptual learning and problem solving, using the scientific method and being the basis for mathematical activities in school mathematics curriculum developed (NCTM, 2000)
Summary
According Shrawder (2006), some activities may be carried out in the framework of preparatory activities, were: (1) forming a positive attitude of students about successful learning and learning outcomes; (2) establishing and maintaining creativity or manage the mind; (3) writing learning objectives and reviewing before any learning session; (4) building confidence before starting the study; and (5) maintaining a maximum level of self-motivation.While Kramarski, et al (2002) stated, the key of metacognition learning was students worked in small groups to formulate and answer a series of questions metacognition These questions focus on: (a) understand the problem (for example, "What was the problem and why?"); (B) establishing a link between prior knowledge and new (eg, "What were the similarities / differences between the problems faced and the problems you've solved in the past and why?"; (C) using appropriate strategies to solve problems (eg, "What right strategies / tactics / principles were selected to solve the problem and why?"; and in some studies (d) reflecting the processes and solutions (eg, "What have I done wrong?"; "What was the solution made sense?" ). While the direction of the development of the model, according to Joyce et al (2009) include (1) the structure of the model, (2) the social system, (3) the role / tasks of teachers, (4) the support system, and (5) the impact of instructional and companion
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: International Electronic Journal of Mathematics Education
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
