Many recently added studies concerning reforms on teaching Early Mathematics were taken into consideration by different countries all over the world. The rhetoric that has accompanied such reforms has often justified them in terms of the need to produce citizens who are better able to cope with the demands of the twenty-first century. As an area…

Instructional routines, like "Number Talks" and "Notice and Wonder," engage students in doing and then talking about their mathematical thinking. Number Talk routines are short mathematical discussions where students mentally solve and share the strategies they used to make sense of the problem. In comparison, the Notice and…

This article describes a hands-on geometric tiling art activity used in two third-grade classes and four fifth-grade classes in a rural public elementary school with class sizes of around 20 students each. The lesson investigates concepts in geometry, number sense, and probability. Examples of student work and takeaways for other teachers…

Summer numeracy interventions have become standard educational practice across a range of jurisdictions, but there is a paucity of evaluations of those interventions across international settings. We employ a quasi-experimental evaluation of voluntary summer numeracy programs for 569 attendees and 2,193 comparison students in grades 1-3, conducted…

The shift from additive to multiplicative thinking is challenging for students. A professional learning program was developed that focused on an identified area of need by teachers, namely multiplicative thinking. Program content focused on concepts underpinning multiplicative thinking, pedagogical approaches, challenging tasks, and application to…

Background: In several countries, children's math skills have been declining at an alarming rate in recent years and decades, and one of the explanations for this alarming situation is that children have difficulties in establishing the relations between arithmetical operations. Aim: In order to address this question, our goal was to determine the…

We present the results from an exploratory study that aimed to measure teachers' specialized knowledge in early mathematics during a pilot of an educational intervention using the Foundational Mathematical Knowledge for Teaching (FMKT) survey. The survey was administered to 323 teachers in the Kyrgyz Republic in 2021. We delve into survey results…

A solid foundation in mathematics is beneficial not only for individuals' concurrent and later academic achievement, but also for future career success and financial stability. Rational number knowledge plays a pivotal role in mathematical success, yet it is often regarded as a challenging area to grasp comprehensively. The dissertation aims to…

Cognitive, numeracy, and motivational factors have been implicated in math achievement. However, few studies have investigated these factors simultaneously and in middle childhood, limiting our understanding of the relative contributions of these factors during an important developmental period. The current study investigated how one numeracy,…

Little is known about the mathematical development of students with intellectual disabilities (ID) in inclusive classrooms. It is important to have a research-based understanding of the subject since inclusive education is becoming the norm in many countries, and an increasing number of students with an ID now attend mainstream schools. We…

Statistical terms are used in everyday language and, at times, used in non-statistical ways. It is often assumed students understand statistical terms because of their common use; however, research into their understanding of specific statistical terms is scant. This report focuses on 58 Year 3 students' responses to the basic question, "What…

This task structure both engages students in serious, grade-level appropriate mathematical work and allows the teacher to do the intentional and purposeful work of building a collaborative classroom culture. We highlight possibilities for adapting this task structure to teach different mathematics content across grade levels 3-5.

Recent research suggests that using additional teachers to provide small-group instruction or tutoring substantially improves student learning. However, treatment effects on test scores can fade over time, and less is known about the lasting effects of such interventions. We leverage data from a Norwegian large-scale field experiment to examine…

Children start preschool with large individual differences in their early numerical abilities. Little is known about the importance of heterogeneous patterns that exist within these individual differences. A person-centered analytic approach might be helpful to unravel these patterns and the cognitive and environmental factors that are associated…

The study aimed to investigate variations in addition and subtraction fluency by observing grade three students in Norway (n = 253, M[ subscript age] = 8.38 y.) and Finland (n = 209, M[subscript age] = 9.35 y.) while controlling for their age and non-verbal reasoning. Gender differences were also examined. The focus of the study was on the…