The aim of the present study is to explore strategies in enumerating units of three dimensional (3D) arrays. We analyse enumeration strategies of students in grade 3 (ages 8 to 9) in situations of cubical and spherical representations of units of 3D arrays. By exploring students' strategies in these two situations, we find that difficulties in…

Learning basic concepts of programming resulting in a development on computational thinking (CT) can be reached by means of digital programming environments. As a counterpart, the application of unplugged programming activities seems also to have promising potential regarding the impact on CT. The main characteristic of unplugged programming is…

Even at the primary level, computational thinking (CT) can support young students to prepare for participating in futures that are immersed in data. In mathematics classrooms, there are few explanations of the ways CT can support students in formulating and solving complex problems. This paper presents an example of a primary classroom…

Math computation is a foundational skill for students developing higher-level mathematics problem-solving skills and represents a primary deficit for students struggling in mathematics. Students with mathematics difficulties also tend to have difficulties with other executive functions. One domain that is systematically part of most mathematical…

In this paper, we share the results of the piloting of national diagnostic assessments for strategic calculation with Grade 3 learners in South Africa. The diagnostic assessment pilot intervention was focused on promoting strategic use of calculation strategies and aimed to move learners on from the concrete one-to-one counting methods that…

Understanding of the complement principle has been proposed as closely related to computational skills, but few studies have investigated their interrelations. The present longitudinal study attempted to clarify the picture by examining their potential cross-lagged relation. Fourth graders (n = 221) in Hong Kong received 3 cognitive assessments at…

Computational thinking is considered to be an important competence in the intelligent era, and the incorporation of computational thinking as an integral part of school education beginning in childhood has been proposed. However, the ways in which computational thinking can be taught more effectively the context of in K-12 programming teaching…

Estimation supports the development of higher level mathematical thinking and reasoning; however, has received relatively little research attention. We examined whether making predictions influences the accuracy of numerosity estimates in elementary-aged children, and whether the amount of information available to the estimator determines the…

While numerous studies have highlighted the potential benefits of programming environment (PE) use for children's learning, the boundary conditions of children's PE acceptance within the programming education context are less clear. This study fills this gap in the literature by investigating the critical determinants of children's PE use…

How to develop students' computational thinking (CT) is an important topic faced by academics and front-line teachers. However, the solution of programming problems requires paying attention to every detail of the problem and building a solution to the problem step by step, and for beginners, they often get stuck when one of these aspects goes…

Individuals learn to develop problem solving strategies and make connections between their mathematical ideas while programming, so they have the opportunity to improve their thinking skills. Scratch provides an environment to experience problem scenarios and encourages them to act out imagination while having fun. The purpose of the study is to…

This article illustrates that the task design and problem selection are of characteristic influence to evoke sense-reason-act programming (SRA) among primary school pupils when programming robots. Research shows that the task design influences the development of computational thinking (CT). The literature provides evidence that the context, the…

Pair programming (PP) can help improve students' computational thinking (CT), but the trajectory of CT skills and the differences between high-scoring and low-scoring students in PP are unknown and need further exploration. In this study, a total of 32 fifth graders worked on Scratch tasks in 16 pairs. The group discourse of three learning topics…

Research showed that the capacity of making simple estimations begins to develop already at the age of five, but little is known about the early development of this estimation capacity and the strategies that underly it. The current study longitudinally followed the estimation capacity and strategies of 332 children from first to second grade of…

Children display an early sensitivity to implicit proportions (e.g., 1 of 5 apples vs. 3 of 4 apples), but have considerable difficulty in learning the explicit, symbolic proportions denoted by fractions (e.g., "1/5" vs. "3/4"). Theoretically, reducing the gap between representations of implicit versus explicit proportions…