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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
Ferrara, Francesca; Ferrari, Giulia – Digital Experiences in Mathematics Education, 2023
In this article, we draw on assemblage theory to investigate how children aged 5 engage with different material surfaces to explore ordinal and relational aspects of number. The children participate in an activity in which they first interact with a strip on the floor, then with a multi-touch iPad application, to work with numbers in expressive…
Descriptors: Kindergarten, Young Children, Numeracy, Number Concepts
Jake McMullen; Antti Koskinen; Tomi Kärki; Antero Lindstedt; Saku Määttä; Hilma Halme; Erno Lehtinen; Minna M. Hannula-Sormunen; Kristian Kiili – Mathematical Thinking and Learning: An International Journal, 2024
Adaptive expertise is a highly sought after, but difficult to achieve, outcome of mathematics education. Many teaching methods appear to support the development of adaptive expertise only in a small proportion of students. Game-based learning environments may be useful for supporting adaptive expertise. Therefore, we carried out a…
Descriptors: Game Based Learning, Number Concepts, Knowledge Level, Intervention
José Luis Cortina – North American Chapter of the International Group for the Psychology of Mathematics Education, 2023
We discuss the importance of bringing teaching to the forefront of instructional design. We do so by describing the process of developing an instructional sequence for early number, using design research. The instructional sequence was developed with the specific aim of supporting teaching, conceived as a complex and demanding job, not reducible…
Descriptors: Instructional Design, Educational Resources, Mathematics Instruction, Learning Trajectories
Alexandria A. Viegut; Percival G. Matthews – Grantee Submission, 2023
Understanding fraction magnitudes is foundational for later math achievement. To represent a fraction "x/y," children are often taught to use "partitioning": break the whole into "y" parts, and shade in "x" parts. Past research has shown that partitioning on number lines supports children's fraction…
Descriptors: Fractions, Mathematics Skills, Number Concepts, Skill Development
Alexandria A. Viegut; Percival G. Matthews – Developmental Psychology, 2023
Understanding fraction magnitudes is foundational for later math achievement. To represent a fraction x/y, children are often taught to use "partitioning": Break the whole into y parts and shade in x parts. Past research has shown that partitioning on number lines supports children's fraction magnitude knowledge more than partitioning on…
Descriptors: Fractions, Mathematics Skills, Number Concepts, Skill Development
Makonye, Judah P. – Research in Education, 2020
This study focuses on the teaching and learning of the pre-numeracy concepts through technology at Foundation Phase. It pre-supposes that the use of information and communication technology resources presents an innovative way to improve teaching and learning mathematics. The author argues that young children's relational conceptions of number lie…
Descriptors: Number Concepts, Young Children, Technology Integration, Mathematics Instruction
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
Nur, Andi Saparuddin; Kartono, Kartono; Zaenuri, Zaenuri; Rochmad, Rochmad – Participatory Educational Research, 2022
The integer is a basic concept in studying arithmetic and algebra. However, students still frequently experience misconceptions, especially in negative integer, count operations. Traditional games are activities that are often carried out by students in coastal areas so that they are relevant to be used as a tool to construct learning trajectories…
Descriptors: Learning Processes, Elementary School Students, Grade 6, Preadolescents
Nguyen, Huy Anh; Hou, Xinying; Stamper, John; McLaren, Bruce M. – International Educational Data Mining Society, 2020
A challenge in digital learning games is assessing students' learning behaviors, which are often intertwined with game behaviors. How do we know whether students have learned enough or needed more practice at the end of their game play? To answer this question, we performed post hoc analyses on a prior study of the game "Decimal Point,"…
Descriptors: Computer Games, Educational Games, Game Based Learning, Instructional Effectiveness
Jillian M. Cavanna; Byungeun Pak; Brent E. Jackson – Mathematics Teacher: Learning and Teaching PK-12, 2024
Teachers can make number talks more ambitious and increase learning opportunities for students by debugging errors, promoting multi-student thinking, and orienting to make connections. This article describes the basic number talks routine and examines some common tendencies, such as "Serial Sharing." It concludes with a vignette to…
Descriptors: Number Concepts, Numbers, Mathematics Teachers, Mathematics Instruction
Abdullah Terzi; Tugrul Kar – Education 3-13, 2024
The present study aimed to test the effect of the problem-posing instruction experimentally based on the extended active learning framework on the development of Turkish middle school sixth-grade students' (N = 19) problem-posing and -solving skills with whole-number operations. The training programme was completed in 13 lessons over a seven-week…
Descriptors: Foreign Countries, Grade 6, Elementary School Students, Problem Solving
Aljarrah, Ayman; Towers, Jo – North American Chapter of the International Group for the Psychology of Mathematics Education, 2021
In this article we show how students' productive struggle on a mathematical task can lead to collective mathematical creativity. We use observable (co)actions and interactions from a video record that features three Grade 6 students in a problem-solving session to document the emergence of collective creativity leading to a solution. We discuss…
Descriptors: Mathematics Instruction, Creativity, Task Analysis, Video Technology
Milton, Jessica H.; Flores, Margaret M.; Hinton, Vanessa M.; Dunn, Caroline; Darch, Craig B. – Learning Disabilities Research & Practice, 2023
This study investigated the effects of a place value intervention with third-grade students with learning disabilities. The intervention added content to a research-based intervention using the concrete-representational-abstract (CRA) sequence. The added content reflected current mathematics standards for third grade. Students' place value…
Descriptors: Grade 3, Students with Disabilities, Learning Disabilities, Intervention
Xu, Chang; LeFevre, Jo-Anne; Skwarchuk, Sheri-Lynn; Di Lonardo Burr, Sabrina; Lafay, Anne; Wylie, Judith; Osana, Helena P.; Douglas, Heather; Maloney, Erin A.; Simms, Victoria – Developmental Psychology, 2021
In the present research, we provide empirical evidence for the process of symbolic integration of number associations, focusing on the development of simple addition (e.g., 5 + 3 = 8), subtraction (e.g., 5 - 3 = 2), and multiplication (e.g., 5 × 3 = 15). Canadian children were assessed twice, in Grade 2 and Grade 3 (N = 244; 55% girls). All…
Descriptors: Foreign Countries, Arithmetic, Mathematics Skills, Age Differences