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Students' low creative thinking skills and difficulty in drawing graphs from the given algebraic equations are the background of this study. The purpose of this study was to determine the mathematical creative thinking abilities between Android-based GeoGebra and ordinary learning. This study also investigated students’ responses to the application of Android-based GeoGebra. The research method used was quasi-experimental with a nonequivalent group pretest-posttest design. The instruments were a creative thinking test and a questionnaire. The subjects of this study were students of one of the junior high school in Cianjur selected by purposive sampling technique. The studied material was the quadratic equations as a part of algebra. The gain index data analysis technique used was the normality test and the Mann Whitney test while the questionnaire data responses were analyzed through the average percentage of students’ answers. As a result, the students' mathematical creative thinking ability with Android-based GeoGebra was better than ordinary learning. Also, the students provided positive responses to the application of Android-based GeoGebra.

The lazy nature of learning is an obstacle in teaching and learning activities. The higher level of laziness will reduce the students learning achievement. This problem has motivated the author to make a mathematical model of student learning's lazy nature and analyze it. The lazy nature of learning is modeled to a discrete-time system with , denotes a state vector of the lazy nature, represents an input vector system in time, and denotes a coefficient matrix of and . The optimal quadratic control method is applied in the model to analyze the system's stability and give the interpretation of the model based on the graphics info obtained during the simulation process. The feedback controller is obtained as a result of optimizing the quadratic objective function. a feedback controller's existence makes the lazy nature of learning physics students decrease from time to time, and the system becomes stable.

The aim of this research is to measure mathematical literacy skills of a student after mathematics learning processes using naive geometry method on the quadratic equation. This research is using quantitative methods. This research was implemented at SMP Ulul Albab. The mathematical literacy skills obtained from observation and mathematics literacy tests which refer to the mathematics literacy indicator. The tests were given after a teaching and learning process using naive geometry while observation was done during the learning process. The results show that 22.73% students have high mathematical literacy skill, 68.18% students have intermediate mathematical literacy, and 9.09% students who have low math skills literacy.