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Download full textHandan Demircioglu; Kudret Hatip – International Electronic Journal of Elementary Education, 2023
The present study aims to examine 8th grade students' proof writing and justification skills. The research was conducted using the document analysis method. The participants of the study consisted of 16 voluntary 8th grade students. The participants were determined according to the convenience sampling method. Data were collected with the…
Descriptors: Mathematical Logic, Mathematics Skills, Persuasive Discourse, Geometric Concepts
Prayekti, Novi; Nusantara, Toto; Sudirman; Susanto, Hery – Online Submission, 2020
This study aims to explore all the types of students' mental models of number patterns. The study used a qualitative approach with an explorative type. The subjects used to characterize the student's mental models in this study were 46 eighth grade students in Indonesia. To reveal the subjects' mental model, they were asked to solve the number…
Descriptors: Grade 8, Schemata (Cognition), Foreign Countries, Problem Solving
Direct linkAhmadpour, Fatemeh; Reid, David; Reza Fadaee, Mohammad – Mathematical Thinking and Learning: An International Journal, 2019
We present a model for describing the growth of students' understandings when reading a proof. The model is composed of two main paths. One is focused on becoming aware of the deductive structure of the proof, in other words, understanding the proof at a semantic level. Generalization, abstraction, and formalization are the most important…
Descriptors: Mathematical Logic, Validity, Mathematics Instruction, Secondary School Mathematics
El Mouhayar, Rabih; Jurdak, Murad – International Journal of Mathematical Education in Science and Technology, 2015
This paper explored variation of strategy use in pattern generalization across different generalization types and across grade level. A test was designed to assess students' strategy use in pattern generalization tasks. The test was given to a sample of 1232 students from grades 4 to 11 from five schools in Lebanon. The findings of this study…
Descriptors: Teaching Methods, Generalization, Elementary School Students, Secondary School Students
Rivera, F. D.; Becker, Joanne Rossi – Mathematics Teaching in the Middle School, 2009
This article presents the results of a three-year study that explores students' performance on patterning tasks involving prealgebra and algebra. The findings, insights, and issues drawn from the study are intended to help teach prealgebra and algebra. In the remainder of the article, the authors take a more global view of the three-year study on…
Descriptors: Algebra, Mathematics Instruction, Mathematical Logic, Generalization
Cooper, Tom – International Group for the Psychology of Mathematics Education, 2003
This paper explores the role of open-ended realistic division problem in the development of algebraic reasoning. A written test was administered to 672 students. From the results of this test students were selected for semi-structured interviews. The students were interviewed in pairs and were asked to explain to each other how they would solve…
Descriptors: Algebra, Generalization, Mathematics Instruction, Mathematical Concepts
