Subanji

Why Do Students Make Errors when Solving Problem in Semiotic Representation

-Error in learning mathematics means an inappropriateness of someone in determining the solution of a problem, either in the concepts or its completion procedures. Semiotics means signs or symbols. The use of symbols is the concept of ones thinking in using symbols and representing certain meaning. Problem-solving in semiotic representation is a method for students to solve a problem in the form of algebra, graphics, tables, everyday language, body language and computer language (e.g., Basic, Pascal). This paper sheds new light on analyzing students’ error in determining the coefficient of a variable from Two-Variable Linear Equation System. In an effort to meet that purpose, this study conducted a qualitative research with an explorative descriptive approach. Subjects in this study are ten students of 3rd semester in one of the private universities in Jember. The subject was intervened one nonroutine problem, i.e., the matter of determining the coefficient of a variable from Two-Variable Linear Equation System. The findings of this study revealed that in the early stages of problem-solving, students try to find the coefficient of a variable by the method of elimination. In the final stages, there are three common mistakes which are identified in this research. Firstly, the students do not understand the purpose of the problem, so they could not find the coefficient of the variable should not use the letting, Secondly, students do not realize that substitute the variable coefficients of the system of linear equations least two grades, but the number was not up. Lastly, students do not resolve the problem according to the appropriate procedure, so they could not find the coefficient values based on the requirements of the problem. Keyword-Semiotic Representation, Linear Equation System, Problem-solving skills, Mathematics Education

Fragmentation of Thinking Structure's Students to Solving the Problem of Application Definite Integral in Area.

This study aims to reveal the fragmentation of thinking structure’s students in solving the problems of application definite integral in area. Fragmentation is a term on the computer (storage) that is highly relevant correlated with theoretical constructions that occur in the human brain (memory). Almost every student has a different way to construct a problem. That’s very interesting to finding a process of thinking students. Researcher works in three cases. The findings of this study were two in every case, which the fragmentation whole construction and fragmentation construction pseudo. Data this study a full description and in-depth exploration of the students majoring in mathematics education since high school that has been learned about the material Integral course and the area.

Students' Thinking Process in Solving Combination Problems Considered from Assimilation and Accommodation Framework.

This study aims to explain the thinking process of students in solving combination problems considered from assimilation and accommodation frameworks. This research used a case study approach by classifying students into three categories of capabilities namely high, medium and low capabilities. From each of the ability categories, one student was chosen as a research subject. The results of this research showed that the student in high ability category, in understanding, planning, implementing and checking the problem solving used assimilation thinking process and they also used accommodation thinking process in solving a problem. The student in the category of medium ability, in understanding, planning, implementing and rechecking problem solving used assimilation thinking process. The student in the category of low ability, in understanding, planning and implementing problem solving used incomplete assimilation thinking process, and in rechecking the results of problem solving he was not able to do the thinking process of assimilation and accommodation. Key words: Thinking process, combination, assimilation, accommodation.