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A. P. Kusuma; St. Budi Waluya; Rochmad; S. Mariani – Pegem Journal of Education and Instruction, 2024
Algebraic thinking is the ability to generalize about numbers and calculations, find concepts from patterns and functions and form ideas using symbols. It is important to know the student's algebraic thinking process, by knowing the student's thinking process one can find out the location of student difficulties and the causes of these…
Descriptors: Algebra, Thinking Skills, Mathematics Skills, Problem Solving
Basir, Mochamad Abdul; Waluya, S. B.; Dwijanto; Isnarto – European Journal of Educational Research, 2022
Cognitive processes are procedures for using existing knowledge to combine it with new knowledge and make decisions based on that knowledge. This study aims to identify the cognitive structure of students during information processing based on the level of algebraic reasoning ability. This type of research is qualitative with exploratory methods.…
Descriptors: Cognitive Structures, Cognitive Processes, Algebra, Mathematical Logic
Somasundram, Piriya – EURASIA Journal of Mathematics, Science and Technology Education, 2021
Algebraic thinking in children can bridge the cognitive gap between arithmetic and algebra. This quantitative study aimed to develop and test a cognitive model that examines the cognitive factors influencing algebraic thinking among Year Five pupils. A total of 720 Year Five pupils from randomly selected national schools in Malaysia participated…
Descriptors: Foreign Countries, Elementary School Students, Elementary School Mathematics, Mathematics Skills
Ellis, Amy B.; Lockwood, Elise; Tillema, Erik; Moore, Kevin – Cognition and Instruction, 2022
Generalization is a critical component of mathematical reasoning, with researchers recommending that it be central to education at all grade levels. However, research on students' generalizing reveals pervasive difficulties in creating and expressing general statements, which underscores the need to better understand the processes that can support…
Descriptors: Generalization, Mathematics Instruction, Algebra, Advanced Courses
Blanton, Maria; Isler-Baykal, Isil; Stroud, Rena; Stephens, Ana; Knuth, Eric; Gardiner, Angela Murphy – Educational Studies in Mathematics, 2019
We share here results from a quasi-experimental study that examines growth in students' algebraic thinking practices of generalizing and representing generalizations, particularly with variable notation, as a result of an early algebra instructional sequence implemented across grades 3--5. Analyses showed that, while there were no significant…
Descriptors: Elementary School Students, Grade 3, Grade 4, Grade 5
Prayekti, N.; Nusantara, T.; Sudirman; Susanto, H. – Online Submission, 2019
Mental models are representations of students' minds concepts to explain a situation or an on-going process. The purpose of this study is to describe students' mental model in solving mathematical patterns of generalization problem. Subjects in this study were the VII grade students of junior high school in Situbondo, East Java, Indonesia. This…
Descriptors: Junior High School Students, Foreign Countries, Generalization, Algebra
Rivera, Ferdinand – PNA, 2015
Drawing on a review of recent work conducted in the area of pattern generalization (PG), this paper makes a case for a distributed view of PG, which basically situates processing ability in terms of convergences among several different factors that influence PG. Consequently, the distributed nature leads to different types of PG that depend on the…
Descriptors: Pattern Recognition, Algebra, Mathematical Concepts, Generalization
McVey, Mary D. – 1993
This study investigated the role of problem structure and metacognitive control in the analogical transfer of performance of 40 13- and 14-year-old gifted and highly gifted math students. Average and above average 16-, 17-, and 18-year-olds served as comparison groups. Students were given three algebra problems with solutions, followed by two…
Descriptors: Ability, Algebra, Anxiety, Cognitive Ability
Stamper, John, Ed.; Pardos, Zachary, Ed.; Mavrikis, Manolis, Ed.; McLaren, Bruce M., Ed. – International Educational Data Mining Society, 2014
The 7th International Conference on Education Data Mining held on July 4th-7th, 2014, at the Institute of Education, London, UK is the leading international forum for high-quality research that mines large data sets in order to answer educational research questions that shed light on the learning process. These data sets may come from the traces…
Descriptors: Information Retrieval, Data Processing, Data Analysis, Data Collection
Pateman, Neil A., Ed; Dougherty, Barbara J., Ed.; Zilliox, Joseph T., Ed. – International Group for the Psychology of Mathematics Education, 2003
This volume of the 27th International Group for the Psychology of Mathematics Education Conference includes the following research reports: (1) Improving Decimal Number Conception by Transfer from Fractions to Decimals (Irita Peled and Juhaina Awawdy Shahbari); (2) The Development of Student Teachers' Efficacy Beliefs in Mathematics during…
Descriptors: Student Teachers, Mathematics Education, Teacher Effectiveness, Metalinguistics