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…

Reading numbers aloud, a central aspect of numerical literacy, is a challenging skill to acquire, but the origins of this difficulty remain poorly understood. To investigate this matter, we examined the performance of 127 third- and fourth-grade children who read aloud, in Hebrew, numbers with 2-5 digits. We found several key observations. First,…

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 National Assessment Program for Literacy and Numeracy (NAPLAN) is intended to assess all Australian students in Years 3, 5, 7 and 9 to ensure equity and inclusion. This paper explores the extent to which equity and inclusion are achieved for students with disability through NAPLAN reporting. Document analysis of publicly accessible NAPLAN…

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…

Children's knowledge of the ordinal relations among number symbols is related to their mathematical learning. Ordinal knowledge has been measured using judgment (i.e., decide whether a sequence of three digits is in order) and ordering tasks (i.e., order three digits from smallest to largest). However, the question remains whether performance on…

We use narrative inquiry to conduct a self-study into our shared journey in teaching, individually and as a collaborative teaching and research partnership. Over the past twelve years we have worked together in after-school programs at Irma's elementary school. This work has served to simultaneously enrich and remediate diverse learners in her 3rd…

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…

Relative age effects (RAEs), where older children within an age-based group have better academic, sporting, self-concept and mental health outcomes than their younger peers, have been demonstrated in multiple countries. Australian research has found self-concept and Attention Deficit Hyperactivity Disorder RAEs, but academic RAEs have not been…

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…

The National Assessment Program--Literacy and Numeracy (NAPLAN) was introduced into Australian schools in 2008. Since NAPLAN's standardised tests are now regarded as high-stakes assessment, how well students perform has now become much more important. The findings presented in this paper pertain to students' experiences of how NAPLAN has affected…

This study examines how school-level and student-level factors influence primary school dropout in Burkina Faso. School-level factors were found to have a moderate effect in grade three and a small effect in grade five, while student performance on end-of-term class tests significantly affected students' decisions to drop out in both grades. Other…

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…

In this study, we examine children's National Assessment Program--Literacy and Numeracy (NAPLAN) achievement predictors, which may enable or limit their numeracy performance and assess the relative importance of the predictor variables. Our data source was the NAPLAN numeracy results of Queensland schools from 2014 to 2017. Years 3 and 5…