As a multifaceted concept, the learning of angle concepts takes years to achieve and is beset with challenges. This paper explores how the processes of constructing and validating a learning progression in geometric reasoning can be used to generate targeted teaching advice to support the learning of angle concept. Data from 1090 Year 4 to Year 10…

The objective of this research was to analyze the causes and consequences of the systematic process of teaching and learning of the division of whole numbers, a study aimed at students and teachers of the 3rd and 4th level of basic education. For its development the qualitative paradigm was used through the modality of field research. As…

In this study we investigated word-problem (WP) item characteristics, individual differences in text comprehension and arithmetic skills, and their relations to mathematical WP-solving. The participants were 891 fourth-grade students from elementary schools in Finland. Analyses were conducted in two phases. In the first phase, WP characteristics…

This paper presents the second phase of a larger research program with the purpose of exploring the possible consequences of a gap between what is done in the classroom regarding mathematical word problem solving and what research shows to be effective in this particular field of study. Data from the first phase of our study on teachers'…

This study explored the relationship between educational technology and the mathematics achievement of South African and German students. Hierarchical Linear Models (HLM) showed that the availability of computers at school and using computers in the mathematics classroom in South Africa positively associated with the mathematics achievement of…

The purposes of this study were to (a) explore whether early fractions understanding at 4th grade is differentially challenging for students with versus without adequate whole-number competence and (b) identify specific whole-number skill associated with difficulty in fractions understanding. Based on initial whole-number competence, 1,108 4th…

Three hundred and ninety-one children (195 girls; M[subscript age] = 9.56 years) attending Grades 1 and 5 completed implicit and explicit measures of math attitudes and math self-concepts. Math grades were obtained. Multilevel analyses showed that first-grade girls held a strong negative implicit attitude about math, despite no gender differences…

The use of self-correction strategy helps students to detect their own mistakes and self-correct them, thereby students self-regulate their own learning processes. It is still a strategy that is rarely researched in mathematics learning, particularly at the primary level. This study attempts to fill in the gaps by determining the effectiveness…

Parents need guidance, support, and motivation to learn how to support their young children's mathematical development in ways that are more foundational and effective. The In Addition Afterschool Mathematics Program serves 24 students in grades 3, 4, and 5 and their parents in an urban neighborhood at a Catholic elementary school. In the In…

While the learning benefits of retrieval activities have been clearly demonstrated in laboratory settings, evidence on their usefulness in naturalistic school settings is still scant. The goal of the present studies was to investigate the feasibility and effectiveness of retrieval-based learning in children (fourth and sixth grades) when school…

This collaborative inquiry between an academic (James Russo) and two school-based practitioners (Jessie McCosh and Travis Hewish) explores student attitudes towards learning mathematics through problem solving in a medium sized primary school in regional Victoria.

In this article, the author shares the Menu Writing project, designed to promote a meaningful, real-world connection to mathematics with the lives of students. The rationale for developing this project was two-fold: (1) to connect school mathematics to students' lived experiences to encourage and sustain students' interest, motivation, and…

This paper initiates a discussion around the potential of Dynamic Measurement, an alternative approach to geometric measurement that focuses on how space is generated, and thus measured by the lower-dimensional objects that define it. I use data from a series of design experiments with fourth-grade students to illustrate some forms of reasoning…

In this work we present the design of a computer-based environment aimed at engaging primary school children in argumentative practices while solving a story problem. Argumentation has been regarded from two points of view, both as a process and as a product. Students, using the collaborative tools offered by the platform, co-constructed shared…

This article discusses findings of a study conducted in an urban Title 1 elementary school in the United States. The study examined mathematics quarterly test data from Hispanic newcomer English language learners (ELLs) enrolled in Grades 4 and 5 at the same school, some of whom received mathematics instruction almost entirely in Spanish…