Improving of Junior High School Visual Thinking Representation Ability in Mathematical Problem Solving by CTL

Abstract

The students' difficulty which was found is in the problem of understanding, drawing diagrams, reading the charts correctly, conceptual formal mathematical understanding, and mathematical problem solving. The appropriate problem representation is the basic way in order to understand the problem itself and make a plan to solve it. This research was the experimental classroom design with a pretestposttest control in order to increase the representation of visual thinking ability on mathematical problem solving approach with contextual learning. The research instrument was a test, observation and interviews. Contextual approach increases of mathematical representations ability increases in students with high initial category, medium, and low compared to conventional approaches.

The Difference of Students Mathematical Problem Solving Ability and Self Regulated Learning Taught Contextual and Cooperative Learning Models

“…From the results of the analysis carried out on the learning model with 'initial mathematical abilities on students' mathematical problem solving ability indicate that there is interaction. The results of this study are in line with Surya, Sabandar, Kusumah, and Darhim [29]concluding that the CTL learning model can improve the ability of previous students at all levels of 'initial mathematical abilities (high, medium and low). The representation ability of students in all three groups significantly increased.…”

“…This shows that there are differences in Learning to associate the material with real situations of everyday contributed to the mathematical problem-solving ability and independence of student learning. The results of this study are reinforced by Yanti [34]; Rusyida, Asikin, and Soedjoko [22]; Surya, Sabandar, Kusumah, and Darhim [29]; Siagian, Saragih, and Sinaga [25]who say the achievement of problem solving abilities of students who get contextual learning (CTL) assisted by geogebra or ICT is better than expository learning. Problem solving ability not only can be achieved through CTL but also through problem basedlearning [12].…”

“…It is therefore important to investigate ways for improving problem solving skills [16]. The results of the study show that the problem solving approach affects the ability and academic achievement of students [30]; [34]; [22]; [29]; [25]; [33]; [17]; [26]; [28].…”

“…Contextual learning is a learning concept that helps the teacher to relate the learning material with the real world condition and support the students in making the knowledge they have with the application in their daily life [6]. An active learning environment with these characteristics it is possible to direct the students to be able to perform mathematics learning, which in turn students will have independent study mathematics [29].…”

Students’ Thinking Process in Creating Schematic Representation

“…Yet, a study conducted by (Boonen et al, 2014) find that there are number of students who can not accurately create schematic representation. The inaccuracies made by students in describing scheme will render difficult towards the problems (Surya, Sabandar, Kusumah, & Darhim, 2013). Meanwhile, the outcome of a study accomplished by Sari, Darhim, & Rosjanuardi (2018) discover that a lot of students face barriers in creating picture from visual representation to explain and facilitate problem-solving.…”