Multiplication and division are complex constructs for young children to understand. In this article, the authors explore young children's ability to visualise and make groups of objects before they had formally been introduced to multiplication and division. The results provide some valuable insights into students' early understandings of…

Fermi problems are useful for introducing modelling in primary school classrooms, although teachers' difficulties in problem solving may hinder their successful implementation. These difficulties are associated with the modelling process, but also with the estimation and measurement skills required by Fermi problems. In this work, a specific…

Choosing the right strategy is an important condition to successfully solve math problems. Research studies often present individual types of strategies more or less separately. This study aims to determine student solutions of selected word problems in the whole context of the solution process. In this context, such nonstandard word problems…

Collaborative learning in the form of group work is becoming increasingly significant in education since interpersonal skills count in modern society. However, teachers often get overwhelmed by the logistics involved in conducting any group work. Valid support for executing and managing such activities in a timely and informed manner becomes…

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…

Purpose: This paper aims to describe the findings of a study investigating the relationships between teacher attitudes to teaching mathematics, teacher self-efficacy, student achievement and teacher job satisfaction in Taiwan. Design/methodology/approach: Data were collected from 110 fifth grade primary school teachers and their students…

One innovation that can be developed based on the problem learning angle created is the movement of line marching skills as learning media alternatives for students. This study aims to determine the effectiveness of using the Gebar Modules. The sample comprised 30 students from grades 4A and 4B who were randomly selected with one-group…

Given the relationship between teacher beliefs and practices, it is critical to understand how pre-service teachers' past school experiences impact on their beliefs about teaching. There is a growing recognition of the influence of preservice teachers' prior mathematical experiences on their beliefs regarding mathematics instruction in the primary…

We present a typology for characterizing online student-facing mathematics platforms that examines how they position students as learners, exemplified by 9 commonly used platforms. We identify three types of student learning experiences: instruction and practice, practice and support, and conceptual games and activities, and describe each one in…

This study investigated upper elementary teachers' framings of their students' mathematical thinking in written across the three component skills of noticing. Drawing on a situated perspective, the research examines the influences of teachers' culturalhistorical backgrounds, attitudes, dispositions, interactions with students, and other situated…

This paper details a literature review of mathematics vocabulary intervention studies for students with mathematics difficulty. The primary aim was to identify instructional practices that support mathematics vocabulary development. We conducted a database search to identify mathematics intervention studies either focused exclusively on vocabulary…

There are fundamental questions that teachers should ask themselves and their students as they prepare lessons on calculating area. Area measurement is commonly used in everyday life (perhaps to carpet a room or organize a space) and plays a foundational role in mathematics from multiplication all way up to calculus. Despite the usefulness of area…

The purpose of this qualitative descriptive study was to explore how elementary teachers, who use flipped teaching, describe low-achieving math students' engagement in central North Carolina. Two data sources, with 12 individual interviews and three member- checking focus groups, were conducted. The collaborative learning skills taxonomy of…

The purpose of this study was to review the existing research on affect (beliefs, attitudes, and emotions) of elementary prospective teachers (EPTs) in university mathematics content courses. We use as our time period from publication in the United States of the Curriculum and Evaluation Standards for Schools Mathematics through 2016. A search of…

This project reviewed the state of the research drawing from articles published from 1990 to 2014 (25 years) with elementary prospective teachers (EPTs) as participants, who were completing university courses focused on mathematics content. Twenty-four studies met the inclusion criteria for the review. Of these studies, 11 examined noncognitive…