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Ling, Meng Kay Daniel; Loh, Sau Cheong – International Journal of Mathematical Education in Science and Technology, 2023
The understanding of the relationships between pattern recognition and mathematical abilities is important for students in their learning of mathematics and mathematics teachers in the design of their teaching pedagogies. This study examines the connections between pattern recognition and mathematical abilities of students from four Singapore…
Descriptors: Foreign Countries, Pattern Recognition, Mathematics Instruction, Mathematics Skills
Huang, WenYen – Mathematics Teacher: Learning and Teaching PK-12, 2022
The study of mathematics is often described as the science of patterns (Resnik 1981), and the cognitive tasks involving the search, recognition, and assessment of patterns are fundamental to learning mathematics. Patterning activities lead students to a better understanding of dependent relations among representations, create a transparent way for…
Descriptors: Mathematics Education, Mathematics Skills, Pattern Recognition, Mathematics Activities
Lundberg, Anna L. V. – International Electronic Journal of Mathematics Education, 2022
This case study explores how 12-13-year-old students encounter proportional reasoning while working with geometric patterning tasks using concrete materials. The focus is on the students' use of spontaneous concepts when first dealing with such patterns in the context of collaborative work. Based on video recordings of a single lesson, a…
Descriptors: Middle School Students, Mathematics Skills, Logical Thinking, Geometric Concepts
Quinn, Robert J.; Waddell, Glenn, Jr.; Gallaher, Daniel – Australian Mathematics Education Journal, 2021
The authors present mathematics problems related to the packaging of sporting goods which they used to motivate and engage their students in the USA. This article reports on a series of questions/problems that were explored in groups by the students in a college class designed for sophomores, as part of a program to prepare them to be teachers at…
Descriptors: Undergraduate Students, Mathematical Applications, Mathematics Skills, Problem Based Learning
Zwanch, Karen; Broome, Bridget – Mathematics Teacher: Learning and Teaching PK-12, 2023
Generalizing patterns is an important feature of algebraic reasoning that is accessible to students across grade-levels because it connects their numerical reasoning to algebraic reasoning. In this article, the authors describe how teachers can use the game Crack the Code to introduce generalizing to their students or can extend students'…
Descriptors: Mathematics Education, Elementary School Mathematics, Grade 6, Mathematics Instruction
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
Mielicki, Marta K.; Fitzsimmons, Charles J.; Woodbury, Lauren H.; Marshal, Hannah; Zhang, Dake; Rivera, Ferdinand D.; Thompson, Clarissa A. – Grantee Submission, 2021
Prior work exploring preschool-aged children's reasoning with repeating patterns has shown that patterning ability is an important predictor of math achievement; however, there is limited research exploring older children's growing pattern task performance. The current study tested whether presentation format impacts performance on growing pattern…
Descriptors: Elementary School Students, Mathematics Skills, Number Concepts, Word Problems (Mathematics)
Graf, Edith Aurora; Peters, Stephanie; Fife, James H.; van Rijn, Peter W.; Arieli-Attali, Meirav; Marquez, Elizabeth – ETS Research Report Series, 2019
Learning progressions (LPs) describe the development of domain-specific knowledge, skills, and understanding. Each level of an LP characterizes a phase of student thinking en route to a target performance. The rationale behind LP development is to provide road maps that can be used to guide student thinking from one level to the next. The validity…
Descriptors: Mathematical Concepts, Learning Processes, Sequential Approach, Student Development
Lee, Kerry; Ng, Swee Fong; Pe, Madeline Lee; Ang, Su Yin; Hasshim, Muhammad Nabil Azhar Mohd; Bull, Rebecca – British Journal of Educational Psychology, 2012
Background: Exposure to mathematical pattern tasks is often deemed important for developing children's algebraic thinking skills. Yet, there is a dearth of evidence on the cognitive underpinnings of pattern tasks and how early competencies on these tasks are related to later development. Aims: We examined the domain-specific and domain-general…
Descriptors: Evidence, Structural Equation Models, Standardized Tests, Numeracy
Dogan, Enis; Tatsuoka, Kikumi – Educational Studies in Mathematics, 2008
This study illustrates how a diagnostic testing model can be used to make detailed comparisons between student populations participating in international assessments. The performance of Turkish students on the TIMSS-R mathematics test was reanalyzed with a diagnostic testing model called the Rule Space Model. First, mathematical and cognitive…
Descriptors: Mathematics Tests, Diagnostic Tests, Pattern Recognition, Probability
Kellman, Philip J.; Massey, Christine; Roth, Zipora; Burke, Timothy; Zucker, Joel; Saw, Amanda; Aguero, Katherine E.; Wise, Joseph A. – Grantee Submission, 2008
Learning in educational settings most often emphasizes declarative and procedural knowledge. Studies of expertise, however, point to other, equally important components of learning, especially improvements produced by experience in the extraction of information: "Perceptual learning." Here we describe research that combines principles of…
Descriptors: Mathematics Instruction, Cognitive Style, Perception, Pattern Recognition
Lee, Lesley; Freiman, Viktor – Mathematics Teaching in the Middle School, 2006
Pattern work is now undertaken as early as kindergarten, and both researchers and teachers have discovered that children engage in pattern work with great enthusiasm and innate ability. Having some flexibility in pattern perception and selecting mathematically useful patterns require some training, although there is nothing particularly algebraic…
Descriptors: Algebra, Mathematics Skills, Mathematical Concepts, Mathematics Education
Greeno, James G.; And Others – 1985
Research was conducted investigating properties of skill in learning, in the domain of elementary algebra. Thinking-aloud protocols indicate that early knowledge of the subjects studied was fragmentary, rather than involving systematically flawed procedures. Computational models, developed to simulate observed errors, focused on the role of…
Descriptors: Algebra, Cognitive Processes, Elementary Secondary Education, Error Patterns
Chick, Helen L., Ed.; Vincent, Jill L., Ed. – International Group for the Psychology of Mathematics Education, 2005
This document is the fourth volume of the proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education. Conference papers are centered around the theme of "Learners and Learning Environments." This volume features 42 research reports by presenters with last names beginning between Mul and Wu:…
Descriptors: Conference Papers, Motion, Mathematics Teachers, Self Efficacy