This paper reports some results of a study on how Colombian primary-school teachers, experienced in the use of technological tools, integrate digital resources into their practice. Specifically, we investigate the processes of selection and integration (including appropriation and orchestration) of these resources in the teaching of geometry. We…

This article provides an analysis of a data set coming from a two-phase qualitative study that focused on fostering primary students' abstraction of interrelations among quadrilaterals (squares, rectangles, parallelograms, rhombuses, trapezoids). The pilot study consisted of work with eight primary students operating at van Hiele level 2 (e.g.,…

Providing opportunities for students to demonstrate their mathematical thinking can be challenging. This paper reports on a case study conducted with a teacher and her class of Grade 3/4 students which investigated this phenomenon. Following collection of baseline data that showed her students were not demonstrating evidence of mathematical…

Employing a statistical modeling inspired pedagogy is becoming a widespread practice in the statistics education community. Many have incorporated the practice of formulating conjectures in their modeling-enhanced educational designs and have reported on its benefits. We further elucidate the mechanism through which students' conjecturing may be…

Common divisor is one of the concepts that started to be learned in secondary school and forms the basis of many concepts. But students generally have difficulty in making sense of it. The purpose of this study is to investigate concept formation processes of common divisor through a case study on seven sixth grade students. To do this, we…

Numeracy literacy skills in learning mathematics in elementary schools are still low. This is evident from the AKM value, which is still below average. This low numeracy literacy ability is caused by various things, such as the teacher's lack of ability to make HOTS questions and the lack of habituation for students to work on complex. The main…

Students often show difficulties in understanding rational numbers. Often, these are related to the natural number bias, that is, the tendency to apply the properties of natural numbers to rational number tasks. Although this phenomenon has received a lot of research interest over the last two decades, research on the existence of qualitatively…

The aim of this study is to investigate the effects of mathematics (math) diaries on academic achievement, metacognitive awareness and motivation of students in a mathematics lesson. The case study was conducted with a qualitative, quasi-experimental design and a quantitative, embedded multiple-case design as a mixed research model. The sample of…

Despite significant research exploring students' quantitative reasoning, few studies have explored the semiotic processes that mediate its development. In this report, we present a case study to show how one student constructed a semiotic chain for a quantity as he worked with a mathematical task. Importantly, we connect frameworks for…

This article is the next in our series of papers that was presented at the 27th Biennial AAMT Conference in Brisbane earlier this year. In this article, Michael Minas uses a case study approach to explore how enabling prompts can be used most effectively to support teaching with challenging tasks.

Background: When mathematics teachers embrace the call for pedagogical change, instructional shifts are likely to unfold in complex ways. While we typically view teachers as leading this process, within a figured worlds framework, students play active roles in negotiating the identities, rights, and obligations of all members of a classroom in the…

The goal of this study is to explore the role of model comparison, which is a key activity of young learners' informal reasoning, with statistical models and modeling in the context of informal statistical inference. We suggest a framework to describe this reasoning (the RISM framework), and offer an illustrative case study of two-sixth graders…

This study used a holistic multi-case research design to investigate fourth-grade students' skills for solving non-routine mathematics problems. The participants were three 4th grade students (primary school) with low, moderate and high achievement in mathematics respectively, who were educated in the same class at a state school of middle…

There is no education without content. Teaching and learning in schools is devoted to "something," not to "nothing" or "anything." The more heterogeneous, multicultural, and multilingual the classroom, the more semantization of educational content within teaching and learning is needed. Therefore, the role of various…

Background: Mathematics education is a significant issue in the South African context. Learners' achievement levels are markedly low as suggested by both national and international studies. The teaching and learning of fractions in particular have been identified as challenging. Aim: The aim of this article is to share some of the outcomes derived…