Statistika Matematika merupakan salah satu mata kuliah yang dianggap sulit oleh mahasiswa sehingga dibutuhkan kemampuan-kemampuan matematis untuk mempelajarinya. Salah satu kemampuan yang diperlukan untuk mempelajari mata kuliah tersebut adalah kemampuan membaca bukti matematis. Penelitian ini bertujuan untuk menganalisis kemampuan membaca bukti matematis mahasiswa pada Mata Kuliah Statistika Matematika. Metode penelitian yang digunakan adalah metode kualitatif. Adapun hasil analisis terhadap kemampuan membaca bukti matematis mahasiswa pada mata kuliah Statistika Matematika di salah satu universitas swasta di Jakarta Timur terlihat bahwa mahasiswa masih mengalami kesulitan dalam memeriksa kebenaran dan menuliskan konsep yang digunakan dalam tiap langkah pembuktian. Untuk mata kuliah prasyarat pun mereka masih belum paham. Ini merupakan salah satu faktor yang membuat kemampuan membaca bukti matematis mahasiswa kurang baik. Berdasarkan hasil penelitian, terlihat bahwa kemampuan membaca bukti matematis mahasiswa pada mata kuliah Statistika Matematika tergolong masih kurang baik.

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Students' Advanced Mathematical Thinking in advanced mathematics courses were still relatively low. This happens because the lecturer did not provide opportunities for students to be able to construct their own mathematical concepts and students were still weak in mastering concepts in prerequisite courses. The lecturer is expected to provide opportunities for students to be active in learning and be able to construct their own advanced mathematical concepts through the implementation of innovative learning based on constructivism to improve students' Advanced Mathematical Thinking in advanced mathematics courses. The purpose of this literature study is to find out more about advanced mathematical thinking and its components (representation, abstraction, creative thinking, and proof) in advanced mathematics learning and how to develop it.

The abilities that must be mastered by high school students according to the demands of the 2013 curriculum include reasoning. Students who have good reasoning abilities make it easier to understand mathematics. But in reality there are still many students who have low mathematical reasoning ability, seen when they have difficulty solving math problems. This research objective is to prove the habit of solving open-ended problems that can improve the mathematical reasoning ability of junior high school students based on the level of initial mathematical ability: high, medium, and low. The study used an experimental method with a "One-Group pre-test post-test design". Randomly, selected 77 grade VII students of SMP Negeri in Bekasi as a sample. The prerequisite test shows that each level of data comes from groups that are normally distributed and homogeneous. The results showed normal gain, both overall and level showed improvement. Based on the t test obtained p value of 0.000 < 0.005, meaning this study can prove student habits in solving open-ended problems when learning mathematics on triangles and quadrilateral, can improve students' mathematical reasoning abilities.

<p><em>The objective of this research is to study the effects of learning model and performance assessment model on mathematics problem solving (subject of calculus). An experimental research was conducted at Biology education-UNINDRA.They were selected through multistage random sampling technique. Problem solving test has been employed to collect data which was analyzed by means of two way analysis of variance (ANOVA). Research findings concluded that (1) students who learn under the cooperative learning model show higher then classical learning model in mathematics problem solving (subject of calculus), (2) students receiving Lane Holistic’s performance assessment show higher then Polya’s performance assessment on mathematics problem solving (subject of calculus), (3) there are interaction between learning model, performance assessment model, and mathematics problem solving, (4) in the cooperative learning models group, students receiving Lane Holistic’s performance assessment show lower then Polya’s performance assessment on mathematics problem solving (subject of calculus), (5) in the classical learning models group, students receiving Lane Holistic’s performance assessment show higher then Polya’s performance assessment on mathematics problem solving (subject of calculus), (6) students who are taught mathematics with Lane Holistic’s performance assessment, students who learn under the cooperative learning model show lower then classical learning model in mathematics problem solving (subject of calculus),and (7) students who are taught mathematics with Polya’s performance assessment, students who learn under the cooperative learning model show higher then classical learning model in mathematics problem solving (subject of calculus).</em></p>