5/4/2023 0 Comments Domain of a piecewise functionTest results are analyzed by referring to aspects of metacognition, which are revealed through student representation in resolving the problem of constructing a function graph. The data collection technique used was a test in the form of constructing a graph. Research subjects were 6 second semester students at the Department of Mathematics UNNES in 2018. This type of research is descriptive qualitative. The purpose of this study is to describe the representation of students’ metacognition in constructing graphics. ![]() Metacognition knowledge is an indicator of how well a person uses methods and strategies to control and improve their learning and knowledge. The concept of representation is one of the psychological concepts used in mathematics education to explain some important phenomena about how to think. ![]() Misunderstanding of the concept of piecewise functions is due to their lack of understanding of the domain and the continuity of a function at certain intervals. The remaining students defined the piecewise function by using a single algebraic formula by summing each a lgebraic formula in the given piecewise function. He understood that each of the three polynomials defined in the piecewise function had different domains and could graph them accurately. From the findings, it was found that only one student understood the concept of the piecewise function correctly. After that, interviews were conducted related to graphic images made by students. The collected data were analysed using descriptive qualitative method. Students are given one problem about drawing graphs of polynomial functions that are defined piecewise. Data collected by conducting written tests and interviews with students. The subjects were 5 second-year students of mathematics study program in Universitas Negeri Malang, Indonesia. The present research aims to describe second-year mathematics students’ conceptual understanding about piecewise functions seen from the graphic images they made. Students’ understanding of functions can be seen from how students represent these functions with a graph. ![]() Understanding the concept of function is very important in learning mathematics.
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