K.M.A. Fauzi, Yasifati Hia
Mathematics is knowledge which generally has prerequisite material that students must have to understand new material. This means that to understand a material in mathematics learning trajectory is needed. Prior knowledge is the most crucial thing that makes students able to connect all existing information so that they can construct new knowledge through the process of assimilation or accommodation. This study aims to: (1) build student learning trajectories in solving problems about circles, (2) find out how students' creative thinking abilities with learning paths are designed that apply the Scaffolding metacognition approach. This type of research is Design Research to improve the quality of learning. In this study the researchers gave 3 items about the ability to think creatively. Two trials were conducted, the first trial was conducted in class A and the second trial was conducted in class B. The results of the study indicate (1) There are 3 phases in the learning trajectory of students' creative thinking abilities, namely: 1. Analysing, including determining information from questions, selecting important information, and choosing the right strategy in solving it; 2. Identifying, including determining the adequacy of the elements in the problem, making mathematical models, and can describe the problem; 3. Evaluating, including finding and detecting important matters in the problem and drawing appropriate conclusions. (2) The results of students' creative thinking ability tests in trial 1 shows that students have not been able to solve problems optimally. Students' lack of understanding of the concept of a circle and determining the circumference of a circle make it difficult for students to solve problems regarding the length of the tangent circle. By developing the previous learning trajectory, in trial 2 there was an increase in students' creative thinking abilities. The design of a correct learning trajectory is also very influential in increasing the ability of students. And make the learning process fun and meaningful so that students will remember knowledge in long-term memory. © Published under licence by IOP Publishing Ltd.
Faculty of Mathematics and Natural Science, State University of Medan, Indonesia
