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Setiawan, Yayan Eryk; Purwanto; Parta, I. Nengah; Sisworo – Journal on Mathematics Education, 2020
Linear pattern is the primary material in learning number patterns in junior high schools, but there are still many students who fail to generalize the linear pattern. The students' failure in generalizing the pattern occurred when the students ended to view the problems globally without breaking them into the constructors' components such as the…
Descriptors: Cognitive Style, Mathematical Concepts, Thinking Skills, Concept Formation
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Suryaningrum, Christine Wulandari; Purwanto; Subanji; Susanto, Hery; Ningtyas, Yoga Dwi Windy Kusuma; Irfan, Muhammad – Journal on Mathematics Education, 2020
Semiotics is simply defined as the sign-using to represent a mathematical concept in a problem-solving. Semiotic reasoning of constructing concept is a process of drawing a conclusion based on object, representamen (sign), and interpretant. This paper aims to describe the phases of semiotic reasoning of elementary students in constructing the…
Descriptors: Semiotics, Abstract Reasoning, Geometric Concepts, Concept Formation
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Santia, Ika; Purwanto; Sutawidjadja, Akbar; Sudirman; Subanji – Journal on Mathematics Education, 2019
Mathematical representation has an essential role in solving mathematical problems. However, there are still many mathematics education students who have difficulty in representing ill-structured problems. Even though the ill-structured-problem-solving tasks designed to help mathematics education students understand the relevance and…
Descriptors: Mathematics Instruction, Problem Solving, Mathematical Concepts, College Students
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Sapti, Mujiyem; Purwanto; Irawan, Edy Bambang; As'ari, Abdur Rahman; Sa'dijahm, Cholis; Susiswo; Wijaya, Ariyadi – Journal on Mathematics Education, 2019
Mathematical thinking is an important aspect of mathematics education and, therefore, also needs to be understood by prospective teachers. Prospective teachers should have the ability to analyze and interpret students' mathematical thinking. Comparing model is one of the interpretation models from Wilson, Lee, and Hollebrands. This article will…
Descriptors: Comparative Analysis, Models, Preservice Teachers, Mathematical Logic
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Kurniati, Dian; Purwanto; As'ari, Abdur Rahman; Dwiyana, – Journal on Mathematics Education, 2018
The Mathematics students who perform truth-seeking process upon solving mathematical problems were unique. Therefore, the study deems it necessary to know students' mental structure and mechanism so that they can make the right decision by performing truth-seeking. However, no research has delved into the mental structures and mechanisms of…
Descriptors: Mathematics Instruction, Problem Solving, Cognitive Structures, Cognitive Processes