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Mix, Kelly S.; Bower, Corinne A.; Yuan, Lei; Hancock, Gregory R.; Smith, Linda B. – Educational Psychology, 2023
The current longitudinal study measured 279 kindergartners' (M[subscript age] = 5.76 years; SD = 0.55; 135 females) place value understanding using both approximate and syntactic measures based on previous evidence that early variation in performance on approximate measures was associated with subsequent syntactic place value understanding. In the…
Descriptors: Kindergarten, Number Concepts, Computation, Grade 2
Olkun, Sinan – International Electronic Journal of Elementary Education, 2022
The purpose of this paper is to propose an effective learning environment for the initial stages of mathematical learning. Basic numerical skills and the objects and actions that trigger those skills are conceptualized as a mathematics-learning environment. We discuss numerical learning mechanism and the basic skills and environments we use to…
Descriptors: Mathematics Education, Learning Processes, Mathematics Skills, Number Concepts
Levenson, Esther S.; Barkai, Ruthi; Tirosh, Dina; Tsamir, Pessia – Educational Studies in Mathematics, 2022
This study focuses on adults who are neither preschool teachers nor professional caregivers and investigates their beliefs regarding the importance of engaging young children with numerical activities. It also examines the types of numerical activities adults report having observed children engaging with, as well as the types of activities they…
Descriptors: Adults, Beliefs, Young Children, Numbers
Hilma Halme; Jo Van Hoof; Minna Hannula-Sormunen; Jake McMullen – British Journal of Educational Psychology, 2024
Background: Research has shown that mathematics anxiety negatively correlates with primary school mathematics performance, including fraction knowledge. However, recently no significant correlation was found between fraction arithmetic performance and state anxiety measured after the fraction task. One possible explanation is the natural number…
Descriptors: Mathematics Anxiety, Elementary School Mathematics, Grade 5, Grade 6
Maria Blanton; Angela Murphy Gardiner; Ingrid Ristroph; Ana Stephens; Eric Knuth; Rena Stroud – Mathematical Thinking and Learning: An International Journal, 2024
Understanding how young learners come to construct viable mathematical arguments about general claims is a critical objective in early algebra research. The qualitative study reported here characterizes empirically developed progressions in Grades K-1 students' thinking about parity arguments for sums of evens and odds, as well as underlying…
Descriptors: Persuasive Discourse, Algebra, Learning Processes, Elementary School Students
Michelle M. Tudor – ProQuest LLC, 2024
Number sense is a key indicator of students' future academic success. Students from low socio-economic backgrounds often come to kindergarten lacking number sense skills that other students acquire before they begin formal schooling. Small-group intervention that is focused on number sense skills is an effective way to address this foundational…
Descriptors: Mathematical Models, Numeracy, Number Concepts, Kindergarten
Esther S. Levenson; Ruthi Barkai; Anas Mahamid; Sigal Levy – Educational Studies in Mathematics, 2024
This study examines the solutions of 34 kindergarten children as they create equal groups from n bottle caps, where n was equal to 8, 9, 22, and 23. For each n, children were asked to find as many different solutions as possible. The number of solutions they found, i.e., children's fluency, as well as the strategies used to create equal groups,…
Descriptors: Elementary School Mathematics, Kindergarten, Creativity, Mathematical Concepts
Liu, Qiushan; Braithwaite, David – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2023
Rational numbers are represented by multiple notations: fractions, decimals, and percentages. Whereas previous studies have investigated affordances of these notations for representing different types of information (DeWolf et al., 2015; Tian et al., 2020), the present study investigated their affordances for solving different types of arithmetic…
Descriptors: Fractions, Arithmetic, Mathematical Concepts, Affordances
Baroody, Arthur J.; Mix, Kelly S.; Kartal, Gamze; Lai, Meng-lung – Journal of Numerical Cognition, 2023
Number-recognition tasks, such as the how-many task, involve set-to-word mapping, and number-creation tasks, such as the give-n task, entail word-to-set mapping. The present study involved comparing sixty 3-year-olds' performance on the two tasks with collections of one to three items over three time points about 3 weeks apart. Inconsistent with…
Descriptors: Number Concepts, Recall (Psychology), Task Analysis, Preschool Children
Alan, Kübra; Akbas, Elif Ertem – World Journal of Education, 2023
The concept of number sense first appeared theoretically in the report published by NCTM in 1989. Although it is an important concept that includes the meaning of numbers and the relationship between numbers, it is very difficult to make a clear definition of it. This could also be true for the concept of integer, which we cannot place in our…
Descriptors: Elementary School Students, Grade 5, Readiness, Numbers
Caroline Cohrssen; Jill Fielding; Jo Bird – Early Childhood Education Journal, 2025
There is growing interest in mathematics learning progressions in early childhood education. Counting is a skill usually developed early in life. The application of the counting principles in early childhood typically entails counting objects. This poses challenges for learning about zero. Indeed, the word "zero" is seldom used in the…
Descriptors: Foreign Countries, Computation, Preschool Children, Preschool Education
Kelsey J. MacKay; Filip Germeys; Wim Van Dooren; Lieven Verschaffel; Koen Luwel – Educational Studies in Mathematics, 2025
Rational numbers, such as fractions and decimals, are harder to understand than natural numbers. Moreover, individuals struggle with fractions more than with decimals. The present study sought to disentangle the extent to which two potential sources of difficulty affect secondary-school students' numerical magnitude understanding: number type…
Descriptors: Number Concepts, Numeracy, Secondary School Mathematics, Secondary School Students
Johanna Schoenherr; Stanislaw Schukajlow – ZDM: Mathematics Education, 2024
External visualization (i.e., physically embodied visualization) is central to the teaching and learning of mathematics. As external visualization is an important part of mathematics at all levels of education, it is diverse, and research on external visualization has become a wide and complex field. The aim of this scoping review is to…
Descriptors: Visualization, Mathematics Education, Educational Research, Pictorial Stimuli
Nadine Koch; Johannes Lohmann; Martin V. Butz; Hans-Christoph Nuerk – Journal of Numerical Cognition, 2024
Magnitude information, for instance, regarding weight, distance, or velocity, is crucial for planning goal-directed interactions. Accordingly, magnitude information, including numerical magnitude, can affect actions: Responses to small numbers are faster with the left hand than the right and vice versa (hand-based SNARC effect). Previous…
Descriptors: Spatial Ability, Numbers, Number Concepts, Task Analysis
Seanyelle Yagi; Linda C. Venenciano – Mathematics Teacher: Learning and Teaching PK-12, 2024
On the surface, the number line may seem like a basic tool with obvious applications. However, using a number line is not always intuitive for students. Students may not recognize significant features such as the size of the unit, how units are represented by iterated equal lengths, or that the accumulation of iterated units is a magnitude of…
Descriptors: Number Concepts, Mathematical Concepts, Measurement, Teaching Methods