This report delineates the outcomes of an intervention conducted with in-service high school educators, focusing on elucidating three distinct scenarios within geometric and arithmetic domains: the infinitely large, infinitely numerous, and infinitesimally close. Grounded in the theoretical framework of conceptual change, it is posited that when…

The aim of the study was to determine the arithmetic and algebraic problem-solving approaches of prospective mathematics teachers in the Department of Elementary Mathematics Education, and mathematics teachers in secondary schools. The study adopted mixed methods research design using exploratory sequential pattern. The participants of the study…

Physical activity has not only been associated with increased physical and mental health, but also with beneficial effects on various cognitive and brain functions. This study investigated the effects of a motor and coordination oriented exercise intervention on academic achievements, attention/concentration ability, and on different facets of…

The goal of this paper is to express necessary conditions for arithmetic in ways that are compatible with the unity of being and knowing understood within first-person experience. In psychological literature, this experience of unity is discussed as flow, but the epistemological and ontological unity is prior to the observer's position from which…

Three rational number notations--fractions, decimals, and percentages--have existed in their modern forms for over 300 years, suggesting that each notation serves a distinct function. However, it is unclear what these functions are and how people choose which notation to use in a given situation. In the present article, we propose quantification…

For students to advance beyond arithmetic, they must learn how to attend to the structure of math notation. This process can be challenging due to students' left-to-right computing tendencies. Brackets are used in mathematics to indicate precedence but can also be used as superfluous cues and perceptual grouping mechanisms in instructional…

Networked computers can potentially support classrooms to be more interactive. It can help students share representations amongst themselves and work together on a shared virtual activity space. In research on the role of shared screens or shared virtual workspace in learning settings, there has been less attention paid to contexts where learners…

A new classification for semantic structures of one-step word problems is proposed in this paper. The classification is based on illustrations of word problem situations in Common Core State Standards (CCSSM, 2010) and related historical studies (e.g. Weaver, 1973, 1979, 1982), as well as conceptual elaborations of embodied and grounded nature in…

The aim of the present study was to examine the kinds of developmental profiles of arithmetic fluency skills that can be identified across Grades 1-9 (ages 7-16) in a large Finnish sample (n = 2,518). The study also examined whether membership in the developmental profiles could be predicted using a comprehensive set of kindergarten-age factors,…

Transcranial random noise stimulation (tRNS) increases performance in some perceptual tasks. However, little is known about its effect on creativity. Although dorsolateral prefrontal cortex (DLPFC) has been postulated as an important cortical area related to creativity, the relative role of left and right DLPFC is still unclear. We aimed to…

Several studies have shown that Rapid Automatised Naming (RAN) is an important reading predictor. However, it has also been found that RAN is a valid predictor of mathematical performance. This study explores the relationship between RAN, counting and arithmetic fluency in Chilean first graders. A total of 102 participants were evaluated with RAN…

We examined the math facts fluency growth of students receiving explicit timing practice in either a massed, short-distributed, or long-distributed fashion. In a repeated-measures group design, 50 mid-western 3rd grade students completed four one-minute math probes each day for 20 days. Hierarchical linear modeling revealed that students who…

Problem solving has been the focus of the Common Core State Standards for Mathematical Practice. Helping students acquire critical-thinking and problem-solving skills has become the primary goal of mathematics education across all grade levels. However, research has found that many students struggle with word problems because of poor text…

Mobile devices, and their applications, are becoming common-place around the world, and especially with adult-age college students in the United States. At the same time, community college students who are interested in becoming members of the trade workforce, such as auto mechanics, are continuing to need to learn basic mathematic concepts such…

In this article we aim to deepen our understanding of the content and nature of the early childhood teacher's knowledge, focusing on those aspects which might promote students' algebraic thinking. Approaching arithmetic from the viewpoint of algebra as an advanced perspective and considering the analytical model "Mathematics Teachers'…