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Showing 1 to 15 of 16 results Save | Export
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Sen, Ceylan; Guler, Gürsel – International Journal of Mathematical Education in Science and Technology, 2022
In this study, it was aimed to investigate 4-to-6-year-old children's reasoning skills appearing in pattern tasks. 55 children studying in the classes of four different pre-school classes participated in the study. A classroom teaching experiment was conducted to examine the development of children's reasoning skills in pattern tasks. Both…
Descriptors: Thinking Skills, Pattern Recognition, Preschool Children, Early Childhood Education
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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
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Chen, Yu-Chi; Chao, Chi-Yu; Hou, Huei-Tse – Journal of Educational Computing Research, 2023
Pattern recognition is an important skill in computational thinking. In this study, an equation puzzle game was developed by combining pattern recognition with algebraic reasoning, and scaffolding was designed to support learners' learning. Sixty participants were enrolled in this study, divided into a control group and an experimental group to…
Descriptors: Pattern Recognition, Skill Development, Educational Games, Computation
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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
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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
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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
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Huang, Rongjin; Prince, Kyle M.; Schmidt, Teresa – Mathematics Teacher, 2014
The importance of developing reasoning and justification has been highlighted in "Principles and Standards for School Mathematics" (NCTM 2000). The Common Core State Standards for Mathematics (CCSSI 2010) further reiterates the importance of reasoning and proof in several standards for mathematical practice. Students of all grades are…
Descriptors: Algebra, Mathematics Education, Mathematics Instruction, Mathematical Applications
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Rittle-Johnson, Bethany; Fyfe, Emily R.; McLean, Laura E.; McEldoon, Katherine L. – Journal of Cognition and Development, 2013
Young children have an impressive amount of mathematics knowledge, but past psychological research has focused primarily on their number knowledge. Preschoolers also spontaneously engage in a form of early algebraic thinking-patterning. In the current study, we assessed 4-year-old children's knowledge of repeating patterns on two occasions…
Descriptors: Mathematics, Knowledge Level, Algebra, Thinking Skills
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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
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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
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Gierl, Mark J.; Zheng, Yinggan; Cui, Ying – Journal of Educational Measurement, 2008
The purpose of this study is to describe how the attribute hierarchy method (AHM) can be used to evaluate differential group performance at the cognitive attribute level. The AHM is a psychometric method for classifying examinees' test item responses into a set of attribute-mastery patterns associated with different components in a cognitive model…
Descriptors: Test Items, Student Reaction, Pattern Recognition, Psychometrics
Willcutt, Bob – 1995
The books in this series provide an essential ingredient in the transition from concrete mathematical experience to the symbolic reasoning used in algebra. They aim to guide the student in building and extending manipulative patterns, collecting numerical data, and analyzing the results. The main objective of the activities in this book is for the…
Descriptors: Algebra, Data Collection, Elementary Secondary Education, Mathematical Concepts
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Friedlander, Alex; Hershkowitz, Rina – Mathematics Teacher, 1997
Presents several examples of investigations which demonstrate the following: (1) algebra is connected to other mathematical topics; (2) algebra is an effective tool for representing patterns and relationships; and (3) algebra is an effective tool for analyzing patterns. (DDR)
Descriptors: Algebra, Concept Formation, Elementary Secondary Education, Learning Strategies
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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
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Lopez, Antonio M. – Mathematics and Computer Education, 1996
Presents a methodology designed to strengthen the cognitive effects of using graphing calculators to solve polynomial equations using pattern matching, searching, and heuristics. Discusses pattern matching as a problem-solving strategy useful in the physical, social, political, and economic worlds of today's students. (DDR)
Descriptors: Algebra, Calculators, Educational Strategies, Educational Technology
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