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Holly Tate; Anna Markel – Mathematics Teacher: Learning and Teaching PK-12, 2025
In the primary grades, engaging in counting collections provides students with regular opportunities to make sense of numbers in dynamic ways, build social skills, and communicate about mathematics. This article aims to guide elementary educators through a team's process of planning and implementing counting collections in kindergarten. Counting…
Descriptors: Kindergarten, Early Childhood Education, Elementary School Mathematics, Mathematics Instruction
Chernoff, Egan J. – Canadian Journal of Science, Mathematics and Technology Education, 2022
Constantly on the lookout for Canadian mathematics education matters, because if Canadian mathematics education matters then Canadian mathematics education matters, three young university bookstore employees, university students, unable to make proper change when I handed them a five dollar bill for a sticker I was purchasing for my laptop,…
Descriptors: Foreign Countries, Mathematics Education, Mathematics Skills, Arithmetic
Eleftheriadi, Artemis; Lavidas, Konstantinos; Koustourakis, Gerasimos; Papadakis, Stamatis – Educational Process: International Journal, 2023
Background/purpose: Investigation into the misconceptions of preschool students in mathematics and their differences between the ages of 4-5 and 5-6 years old helps form appropriate developmental mathematics teaching programs. However, although several studies have been conducted examining preschoolers' previous knowledge and misconceptions about…
Descriptors: Misconceptions, Numbers, Arithmetic, Age Differences
Daria Chudnovsky – Journal of Mathematics Education at Teachers College, 2024
This article explores the educational and philosophical contributions of Nikolai V. Bugaev, a prominent 19th-century Russian mathematician and founder of the Moscow philosophical-mathematical school. The study specifically focuses on Bugaev's textbook, "Arithmetic of Whole Numbers," analyzing Bugaev's pedagogical approaches within the…
Descriptors: Educational Philosophy, Mathematics Education, Textbooks, Content Analysis
Cui, Zhihao; Ng, Oi-lam; Jong, Morris Siu-Yung – Educational Technology & Society, 2023
Grounded in problem-based learning and with respect to four mathematics domains (arithmetic, random events and counting, number theory, and geometry), we designed a series of programming-based learning tasks for middle school students to co-develop computational thinking (CT) and corresponding mathematical thinking. Various CT concepts and…
Descriptors: Computation, Thinking Skills, Mathematics Education, Problem Based Learning
Ng, Oi-Lam; Leung, Allen; Ye, Huiyan – ZDM: Mathematics Education, 2023
Programming is an interdisciplinary practice with applications in both mathematics and computer science. Mathematics concerns rigor, abstraction, and generalization. Computer science predominantly concerns efficiency, concreteness, and physicality. This makes programming a medium for problem solving that mediates between mathematics and computer…
Descriptors: Computation, Thinking Skills, Programming, Programming Languages
Jiaxin Cui; Fan Yang; Yuanyi Peng; Saisai Wang; Xinlin Zhou – Infant and Child Development, 2024
Symbolic and situational mathematics are the two major representations of mathematical knowledge. Although previous literature has studied the relationship between the two from the perspective of teaching practice, learning effectiveness and behavioural performance, there is still a lack of empirical psychological research on cognitive mechanisms…
Descriptors: Mathematics Education, Symbols (Mathematics), Learning Processes, Elementary School Mathematics
Desoete, Annemie; Baten, Elke – International Electronic Journal of Elementary Education, 2022
Several factors seem important to understand the nature of mathematical learning. Byrnes and Miller combined these factors into the Opportunity-Propensity model. In this study the model was used to predict the number-processing factor and the arithmetic fluency in grade 4 (n = 195) and grade 5 (n = 213). Gender, intelligence and affect (positive…
Descriptors: Mathematics Education, Elementary School Mathematics, Elementary School Students, Grade 4
Karabey, Burak – Australian Mathematics Education Journal, 2019
This study aims to introduce a method that is based on the relationship between numbers and geometry, which can be used to show the exact location of rational numbers on the number line, compare rational numbers, make calculations, and examine rational numbers conceptually through parallel lines. It is believed that this method will to contribute…
Descriptors: Number Concepts, Geometry, Geometric Concepts, Computation
Howe, Roger – ZDM: The International Journal on Mathematics Education, 2019
This paper makes a proposal, from the perspective of a research mathematician interested in mathematics education, for broadening and deepening whole number arithmetic instruction, to make it more relevant for the twenty-first century, in particular, to enable students to deal with large numbers, arguably an essential skill for modern citizenship.…
Descriptors: Number Concepts, Numbers, Error of Measurement, Computation
Faragher, Rhonda – Mathematics Education Research Group of Australasia, 2017
In this paper, the hypothesis that Developmental Dyscalculia (DD) is a characteristic of Down syndrome (DS) is proposed. Implications for the hypothesis are addressed: If it were to be confirmed that DS implies DD, what would be the consequences for the mathematics education of learners with DS? The use of prosthetic devices to overcome the…
Descriptors: Learning Disabilities, Down Syndrome, Comorbidity, Mathematics Education
Budgen, Fiona; West, John – Athens Journal of Education, 2018
Currently Australian pre-service teachers' levels of personal numeracy are under a great deal of scrutiny. There are calls for universities to raise entry standards into teaching degrees and counter-calls that the output of universities should be gauged rather than inputs. In 2015, doubts about the ability of graduate teachers to convey the…
Descriptors: Foreign Countries, College Freshmen, Student Needs, Educational Needs
Bulat, Pavel V.; Volkov, Konstantin N. – International Journal of Environmental and Science Education, 2016
Aim of the study: This study examines numerical methods for solving the problems in gas dynamics, which are based on an exact or approximate solution to the problem of breakdown of an arbitrary discontinuity (the Riemann problem). Results: Comparative analysis of finite difference schemes for the Euler equations integration is conducted on the…
Descriptors: Mathematics, Mathematical Models, Mathematical Concepts, Computation
Beckmann, Sybilla; Izsák, Andrew – Journal for Research in Mathematics Education, 2015
In this article, we present a mathematical analysis that distinguishes two distinct quantitative perspectives on ratios and proportional relationships: variable number of fixed quantities and fixed numbers of variable parts. This parallels the distinction between measurement and partitive meanings for division and between two meanings for…
Descriptors: Mathematics Education, Mathematical Concepts, Multiplication, Measurement
Guberman, Raisa – International Journal of Science and Mathematics Education, 2016
One of the key courses in the mathematics teacher education program in Israel is arithmetic, which engages in contents which these pre-service mathematics teachers (PMTs) will later teach at school. Teaching arithmetic involves knowledge about the essence of the concept of "number" and the development thereof, calculation methods and…
Descriptors: Arithmetic, Preservice Teachers, Mathematics, Mathematics Instruction