This study aims to describe the learning of mathematics with metacognitive ability based on problem solving in solving mathematics story problem in SMP Patra Dharma 2 Balikpapan. The type of this research is qualitative research, while the sampling technique is purposive sample. The results showed that through solving problems in solving mathematical problems, (1) learners will be trained to always involve metacognitive skills from the beginning of solving the problem of mathematics to the end of the form of formulation of answers and evaluate the results of work, (2) learners who have good metacognition skills tend to solve problems of solving problems of mathematical stories that they face well through the mobilization of consciousness and contextual thinking arrangements, and (3) learners are required to mobilize awareness and regulation of thinking (metacognition) through some math problem solving exercise.

This research objective is to describe the effectiveness learning by crossword puzzle model and students’ learning achievement. The research method used experimental research, by One-Shot Case Study design, in which there was a group given a treatment, then its result/achievement in Transformation Geometry and students’ response about that model was analysed. This research was conducted in the University of Balikpapan. The subject of this research was the 5th semester students of Mathematics Programme (Class A & B). With questionnaire analysis, the effectiveness learning by crossword puzzle model is , and mean of students’ learning achievement are (Very Good) and (Good). Hence, learning by crossword puzzle model can give a good learning achievement for students of Mathematics Programme in University of Balikpapan.

Probiotic MOIYL is a probiotic that contains lignocellulolytic microorganisms derived from palm oil waste consist of Bacillus sp YLB1, Trichoderma sp YLF8 and Saccharomyces sp YLY3 which are potential in degrading fibers. This study aims to determine the effect of MOIYL probiotic use of palm oil waste based on fiber fraction content (NDF, ADF and lignin). This research is using Completely Randomized Design (RAL) factorial pattern 3 x 4 treatment with 3 replications. Factor I (various levels of palm oil waste substrate) and Factor II lcombination of mixed inoculum or cocktail inoculum indigenous microorganisms). Parameters observed included neutral detergent fiber (NDF), acid detergent fiber (ADF) and lignin. The results showed that the use of MOIYL probiotic in fermentation had a very significant effect (P <0.01) decrease NDF, ADF and lignin waste palm plantation. Probiotic MOIYL-based waste oil plays a role in degrading fiber (NDF, ADF and lignin) and can be used as a source of fermentation inoculum.

One aspect that can be used to identify the completeness of the students’ understanding to a concept is by doing dissection to the concept. This is a case study on the students of mathematics education who had moderate ability, and the objective was to obtain the profile of students’ understanding towards group concept on the aspect of dissection. The students’ understanding to the concept is needed very much to build foundation for understanding to other concepts in abstract algebra. Based on the result of the study, it was obtained that although the dominant elements that build the concept of group can be identified well but qualitatively the understanding of the students who have moderate ability in mathematics to the group concept is still weak. One of the causes is the mathematics logic as an instrument in managing information in group concept is not used accurately and tightly.

Penelitian ini bertujuan untuk menerapkan model pembelajaran problem soving untuk dapat melihat perbedaan peningkatan kemampuan komunikasi matematis siswa pada kelas eksperimen dengan kelas kontrol, dan untuk melihat keterlaksanaan model pembelajaran problem solving dalam pembelajaran di kelas VII MTs Ushuluddin Singkawang. Metode yang digunakan dalam penelitian ini adalah metode eksperimen dengan Pretest-Posttest Control Design. Adapun yang menjadi kelas sampel adalah kelas VII D sebagai kelas ekperimen dan kelas VII E sebagai kelas kontrol yang dipilih dengan teknik probability sampling. Instrumen pengumpulan data menggunakan soal kemampuan komunikasi matematis dan lembar observasi. Berdasarkan hasil analisis data dapat disimpulkan bahwa penerapan model pembelajaran problem solving dapat meningkatkan kemampuan komunikasi matematis siswa pada materi himpunan di kelas VII MTs Ushuluddin Singkawang. Hal tersebut ditunjukkan dengan terdapat perbedaan peningkatan kemampuan komunikasi matematis antara siswa yang diberi pembelajaran model problem solving dengan siswa yang diberi pembelajaran yang konvensional, serta model problem solving terlaksana sangat baik dalam pembelajaran matematika dengan persentase 87,61% untuk pertemuan pertama dan 92,28% untuk pertemuan kedua.