This paper reports an intervention study in the teaching of fraction concepts at a village school in Hong Kong. The classes consisted of 60 Grade three students with different cultural backgrounds, including African, Chinese, Filipino, Korean, Nepalese, and Pakistani. The study represents one of the relatively few studies that investigate the…

Measurement estimation skills are relevant for our everyday life and should be addressed in the mathematics classroom. Although students' measurement estimation skills were examined in several empirical studies, a structure model to describe these skills is still missing. The current research aimed at analyzing the structure of length estimation…

This study explored teaching early mathematical skills to 3- to 7-year-old children in early childhood education and care (ECEC) and pre-primary education. Teachers in ECEC (N = 206) answered a web survey. The first aim was to determine whether teaching frequency or pedagogical awareness of teaching early mathematical skills varied according to…

This study, in which the explanatory mixed design was used, has two aims. The first aim is the development of a scale to determine teachers' beliefs about the integration of mathematics and children's literature. The second one is to examine the beliefs of teachers on children's literature and mathematics teaching, with the data collected through…

There has been considerable research into how children solve single-digit addition problems for more than a century now, which has brought about significant changes to the ways teachers' support children to retrieve single-digit addition facts. In this project, we examine what makes an addition problem difficult to retrieve in light of…

Attending to the whole unit that a number refers to in a mathematical problem situation and showing flexibility in coordinating different units are foundational for mathematical understanding. In this study, we explored teachers' attention to and flexibility with referent units in situations involving fractions and fraction multiplication. Using…

The aim of this study is to provide data to better understand the processes of early mathematical modelling. According to this, an early mathematical modelling activity carried out by 21 Spanish schoolchildren aged 5-6 years is analysed, using the validated tool "Rubric for the Evaluation of Mathematical Modelling Processes" (REMMP). The…

Results of international comparison studies show substantially better mathematics performance of the investigated Asian than European students from the early years on. A Taiwanese-German Research Program (TaiGer) engages in exploring differences and similarities in the educational system, in teachers' knowledge and beliefs and in teaching or…

This article describes part of the findings of a teaching experiment whose objective is to investigate the algebraic abilities of elementary students when they solve situations that involve a functional relationship. In particular, we focus on describing the use and meanings attributed to letters by third-year primary school students when faced…

Many researchers have illustrated the multi-faceted nature of classroom mathematics discussions, but few have demonstrated the effect of discussion on students' assessment performance. We developed and employed a discussion observation instrument in 20 third and fourth grade classrooms in an economically disadvantaged, linguistically diverse…

The aim of this article was to determine the factors in teachers' actions that could explain differences in the emotional atmosphere of primary school classrooms. Based on pupils' drawings about their mathematics lessons, we analyzed both the pupils' and their teachers' actions, including pupils requesting help, sitting alone, and talking about…

The language involved in de-contextualized integer comparisons poses challenges, as students may interpret "most" based on absolute values rather than on order. Using the context of temperature, we explored how students' integer value comparisons differed based on question phrasing (which temperature is hottest, most hot, least hot,…

Research suggests that teachers of mathematics are frequently reluctant to pose challenging tasks to students. Reasons for this reluctance include fears of negative student reactions, time and resource constraints, and a lack of relevant teacher content knowledge. The current study involved interviewing three early primary-grade (elementary)…

The study aims to have a better understanding on the parental scaffolding in mathematics homework among preschoolers in the Malaysian context. This is achieved by exploring to what extent Malaysian parents provide scaffolding to their preschoolers in mathematics homework interactions. Investigations about the strategies employed by the parents…

This study is purposed to measure the efficacy of implementing College and Career Readiness Standards (CCRS) math standards into math methods courses for early childhood and elementary education teacher candidates at an urban university located in the Dallas and Fort Worth metroplex area. A total of 161 college seniors (teacher candidates)…