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Elizabeth Suazo-Flores; Lisa Roetker – Mathematics Teacher: Learning and Teaching PK-12, 2024
The Building Painted Cubes Task is a groupworthy algebraic task. Students build cubes using linking unit cubes, search for algebraic patterns, and report findings on posters. This task can create spaces for students to see themselves as doers of mathematics.
Descriptors: Algebra, Pattern Recognition, Mathematics Activities, Cooperative Learning
Pincheira, Nataly; Alsina, Ángel – Australian Journal of Teacher Education, 2022
This study analyzes the mathematical knowledge of 40 preservice Chilean Early Childhood and Primary Education teachers when designing mathematical tasks on patterns, in the context of teaching early algebra. Based on the domains of the Mathematical Knowledge for Teaching (MKT) model, we have adopted a descriptive qualitative methodological…
Descriptors: Mathematics Education, Preservice Teachers, Early Childhood Teachers, Elementary School Teachers
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)
Apsari, Ratih Ayu; Putri, Ratu Ilma Indra; Sariyasa; Abels, Mieke; Prayitno, Sudi – Journal on Mathematics Education, 2020
The present study is a part of design research in local instructional theory in a pre-algebraic lesson using the Realistic Mathematics Education (RME) approach. The article will focus on recommendations for the type of pre-algebra class that supports elementary school students' algebraic thinking. As design research study, it followed the three…
Descriptors: Elementary School Students, Elementary School Mathematics, Grade 5, Geometry
McGarvey, Lynn M. – Teaching Children Mathematics, 2013
This article describes how in early mathematics learning, young children are often asked to recognize and describe visual patterns in their environment--perhaps on their clothing, a toy, or the carpet; around a picture frame; or in the playground equipment. Exploring patterns in the early years is seen as an important introduction to algebraic…
Descriptors: Mathematics Instruction, Pattern Recognition, Mathematical Concepts, Preschool Children
McGarvey, Lynn M. – Mathematical Thinking and Learning: An International Journal, 2012
Mathematics curricula in the early years emphasize exploring patterns as an important stepping stone to algebraic thinking. Key expectations for young children are for them to recognize and describe visual patterns in the environment. When children are asked to identify patterns, what criteria do they apply to make a decision and on what do they…
Descriptors: Criteria, Algebra, Young Children, Mathematics Instruction
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
Stump, Sheryl L. – Teaching Children Mathematics, 2011
What is the role of patterns in developing algebraic reasoning? This important question deserves thoughtful attention. In response, this article examines some differing views of algebraic reasoning, discusses a controversy regarding patterns, and describes how three types of patterns--in contextual problems, in growing geometric figures, and in…
Descriptors: Algebra, Mathematical Logic, Mathematics Instruction, Geometric Concepts
Whitin, Phyllis; Whitin, David J. – Young Children, 2011
The habit of looking for patterns, the skills to find them, and the expectation that patterns have explanations is an essential mathematical habit of mind for young children (Goldenberg, Shteingold, & Feurzeig 2003, 23). Work with patterns leads to the ability to form generalizations, the bedrock of algebraic thinking, and teachers must nurture…
Descriptors: Investigations, Young Children, Grade 3, Algebra
Mulligan, Joanne; Mitchelmore, Michael – Mathematics Education Research Journal, 2009
Recent educational research has turned increasing attention to the structural development of young students' mathematical thinking. Early algebra, multiplicative reasoning, and spatial structuring are three areas central to this research. There is increasing evidence that an awareness of mathematical structure is crucial to mathematical competence…
Descriptors: Mathematics Education, Mathematical Concepts, Grade 1, Concept Formation
Warren, Elizabeth – International Group for the Psychology of Mathematics Education, 2005
A common approach used for introducing algebra to young adolescents is an exploration of visual patterns and expressing these patterns as functions and algebraic expressions. Past research has indicated that many adolescents experience difficulties with this approach. This paper explores teaching actions and thinking that begins to bridge many of…
Descriptors: Adolescents, Children, Algebra, Abstract Reasoning
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
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