Abstract
<p class="apa">This study aims to determine the ability of algebra students who have 3 levels van Hiele levels. Follow its framework Dindyal framework (2007). Students are required to do 10 algebra shaped multiple choice, then students work 15 about the geometry of the van Hiele level in the form of multiple choice questions. The question has been tested levels of validity and reliability. After learning abilities and levels van Hiele algebra, students were asked to answer two questions descriptions to determine the ability of students in answering the question of algebraic geometry punctuated by interviews. From this study illustrated that students who have achieved level 3 van Hiele able to properly solve problems of algebraic geometry in the content by utilizing the deduction reasoning thinking skills to build the structure geometry in an axiomatic system in solving the problems faced. Teachers play an important role in pushing the speed students through a higher level of thinking through the right exercises. Suggestions for further research can develop on different topics but still within the context of algebraic geometry.</p>
Highlights
1.1 Introduce the ProblemAlgebra is an important material in school mathematics
Beginning of the study is given about the form of algebra that consists of 10 questions, given a matter of geometry to know students there at a level where the van Hiele levels
Algebra comes from matter who made the researchers, while the matter of geometry refers to the development by Usiskin (1982), Senk (1983, 1985), Patkin (1990, 2010), Patkin and Levenberg (2004)
Summary
Algebra is an important material in school mathematics. Students are required to understand what the concept is, structures that affect the manipulation of symbols and how symbols are used. Algebra student mastery of the material plays an important role in the study of other mathematical material (Carraher et al, 2006). In line with the principle that Kutluca (2013) say geometry is an important material in mathematics. Van Hiele is someone mathematician who gave birth to the stages of child cognitive development in understanding the geometry known as van Hiele theory. According to the theory of van Hiele someone goes through five levels of hierarchy in the study of geometry (van Hiele, 1999; van de Walle, 1994; D’Augustine & Smith, 1992; Clements & Battista, 1992; Jones, 1998)
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