Effective early mathematics instruction is critical to support long-term mathematics achievement. Given that student response to typical instruction varies, a range of mathematics interventions have been developed to support foundational mathematics development. However, not all students respond to these interventions. To better understand factors…

What is the nature of the relationship between different lower-level numerical skills and their role in developing arithmetic skills? We consider the hypothesis of a reciprocal relationship between the development of symbolic (e.g., Arabic numerals) and nonsymbolic (e.g., arrays of objects) numerical magnitude processing. Evidence for…

Acquiring mathematical literacy requires students to apply mathematics in various real-world contexts. However, mathematics classes often provide brief, content-focused descriptions of reality-based tasks and tasks that describe the situation as more complex, closer to reality, are still lacking. Students with different sociodemographic…

Fraction knowledge is an essential building block for successful completion of advanced mathematics courses and linked to the development of algebraic understanding. Many students, especially those with disabilities, experience significant difficulties developing fraction knowledge. Intensive fraction interventions have been shown to be effective…

This study's purpose was to analyse the relationship between geometric thinking skills with self-regulated learning and with students' basic geometry skills. Furthermore, analyze student errors in solving geometry problems based on their self-regulated learning to determine the optimal geometry learning environment for geometry thinking skills.…

Purchasing skills are important for students with disabilities, including those with support needs, to access their community and future employment opportunities independently. However, making purchasing and money decisions can involve a variety of mathematics skills like rounding, estimation, and price comparison. Schematic diagrams and…

There is a rapidly growing trend in Western countries to offer preschool education in nature. More information is urgently needed on whether the use of nature as a learning environment has beneficial or debilitating effects on the development of children's general school readiness skills. This study examined the differences in parent-reported…

Mathematics plays many roles in physics and physics education. While these roles have previously been extensively discussed in the physics education research community, no systematic picture of the multifaceted considerations has yet been formed. To gain a comprehensive overview of the previous studies on the topic, we conducted a systematic…

Executive functions are a set of cognitive skills and processes used when directing behaviour towards the attainment of a certain goal. A large literature has documented positive associations between executive functions and a variety of desirable outcomes throughout life, including academic achievement. However, training executive functions…

The use of technologies in mathematics education at all levels has been discussed extensively for a number of years. It is one of the few themes that was the object of two ICMI studies, the most recent being published in 2010. Two new approaches, emerging lately in the teaching and learning of Mathematics at all levels, will be discussed:…

The purpose of this study was to investigate the association between students' social-emotional behaviors and their later academic outcomes from a person-centered perspective. To better inform social-emotional learning intervention practices, a person-centered approach was used to identify students' social-emotional behavior profiles based on…

Although popular educational theories regard ability as being intrinsically multidimensional, academic ability is typically measured with a single, overall score. In this paper, we examine data from the adaptive tutoring system ALEKS to compare three metrics that measure different constructs of mathematical ability that vary in dimensionality. We…

We examined longitudinal relations between 1st-grade cognitive predictors (early nonverbal reasoning, processing speed, listening comprehension, working memory, calculation skill, word-problem solving, word-reading fluency, attentive behavior, and numerical cognition) and 2nd-grade academic outcomes (calculations, word-problem solving, and word…

As students develop understanding and fluency in single-digit operations such as addition, they develop sophisticated strategies and number sense (magnitude, number order, and composition). Deficits in number sense and reliance on inefficient approaches can lead to struggle in mathematics. Intervention research in this area reported effects on…

Laplace transform (LT) is an essential mathematical tool for solving linear ordinary differential equations (ODE) with boundary values, by transforming differential equation into algebraic equations which are easier to manipulate. In this article, we analyse the errors students make and misconceptions they have in solving linear ODE using LT…