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Abstract: The objective of research was to describe difficulty, cause, and solution to the difficulties the 11^th MIA 1 Grades of SMA Negeri I Soe faced in using their metacognitive of ability to solve mathematics problem in probability material using melancholic, sanguinic, phlegmatic and cholericpersonality types. This study was an exploratory qualitative research. The procedure used of selecting subject is snowball sampling, so that 12 subjects were obtained whose data could be analyzed. The data collection was conducted using think aloud method. The data validation was carried out using time triangulation. Techniques of analyzing data used were: (1) classifying data into 4 categories: (a) understanding problem, (b) thinking about plan, (c) implementing the plan, (d) rechecking the answer, (2) presenting the data in narrative text and (3) drawing a conclusion about difficulty, cause, and solution to metacognitive difficulty in each category. The results of research showed that the metacognitive difficulties in solving problem of probability material for melancholic and choleric students were as follows. (a) The students difficulty realized strategic deliberation and the advantage of strategy used, (b) Students experience metacognitive difficulty in realizing the strategic change when they were wrong, (c) Difficulty in realizing the evaluation on confusion, (d) Difficulty in realizing when a strategy is used, (e) Difficulty in realizing the different strategies, (f) Difficulty of other strategy in problem solving, (g) Difficulty in realizing their work product evaluation, and (h) Difficulty in realizing the consideration of all options in solving problem. The difficulty of sanguinic and phlegmatic students were as follows. (a) Difficultly realized strategic deliberation and the advantage of strategy used, (b) Difficulty in realizing the advantage of strategy used (c) Difficulty realizing when a strategy was used (d) Difficulty in realizing when a strategy was used (d) Difficulty in realizing the reason of using different strategies in various situation (e) Difficulty in realizing other strategy in solving problem and (f) Difficulty in realizing the deliberation of all options in solving problem.

Keywords: Metacognitive Difficulty, Problem Solving, Hippocrates-Galenus Personality Type.

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Abstract

The aim of the research was to determine the effect of learning models on mathematics achievement viewed from the student self-regulated learning. The learning models compared were MURDER (Mood Understand Recall Detect Elaborate Review) using RME (Realistic Mathematics Education) approach, MURDER, and direct learning. This study was a quasi-experimental research. The population of this study was students in grade XI science of Senior High School in Ponorogo on academic year 2015/2016. Instruments used were mathematics achievement test and questionnaire. Two ways anova with 3x3 of factorial design and significance level 0,05 are used for hypothesis test. The conclusions of the research were as follows. (1) MURDER RME gives better achievement than MURDER and direct learning, and MURDER gives the same achievement as direct learning, (2) students with high self-regulated learning has the same achievement as those who has middle self-regulated learning. Students who have high and middle self-regulated learning have better achievement than low self-regulated learning, (3) in the MURDER RME and MURDER, students who have high, middle, and low self-regulated learning have the same achievement. In the direct learning, students who have high self-regulated learning have the same achievement as those who have high and low self-regulated learning, and students who have high self-regulated learning have better achievement than those students who have low self-regulated learning, (4) for high self-regulated learning, MURDER RME produces better achievement than MURDER; MURDER RME and MURDER produce the same achievement as direct learning. For middle and lowself-regulated learning, MURDER RME, MURDER, and direct learning produce the same achievement which is categorized as good.