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…

Classroom communication is increasingly accepted as multimodal, through the orchestrated use of different semiotic modes, resources, and systems. There is growing interest in examining the meaning-making potential of other modes (e.g., gestural, visual, kinesthetic) beyond the semiotic mode of language, in classroom communication and in student…

Geometry is one of the basic areas of school mathematics education, and it is important for elementary students. However, students with mathematics learning disabilities (MLD) struggle with geometry learning. Research has demonstrated that concrete-representational-abstract (CRA) teaching is an effective practice for students with learning…

We explored the mediating role of prior knowledge on the relation between intelligence and learning proportional reasoning. What students gain from formal instruction may depend on their intelligence, as well as on prior encounters with proportional concepts. We investigated whether a basic curriculum unit on the concept of density promoted…

While AI has become more prevalent in our society than ever, many young learners are found holding various naive, erroneous conceptions of AI due to the influence of their technology and media environments. To address this issue, this study seeks to propose a novel pedagogical solution to improve upper-elementary school students' scientific…

In this study, a research team made up of Métis artists and knowledge keepers, Anishinaabe and non-Indigenous educators, and a non-Indigenous university mathematics education researcher co-designed and delivered an Indigenous cultural mathematical inquiry in a Grade 5 classroom. We explored the connections between loom bead designs and…

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…

Semiotics is simply defined as the sign-using to represent a mathematical concept in a problem-solving. Semiotic reasoning of constructing concept is a process of drawing a conclusion based on object, representamen (sign), and interpretant. This paper aims to describe the phases of semiotic reasoning of elementary students in constructing the…

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…

The purpose of the study is to examine the role of spatial ability and attention shifting in reading of illustrated science texts. Thirty-five fourth/fifth elementary students read two science texts. Prior knowledge and retention/transfer learning outcomes were measured using researcher-developed measures. While reading, students' eye movements…

Reasoning about numerical magnitudes is a key aspect of mathematics learning. Most research examining the relation of magnitude understanding to general mathematics achievement has focused on whole number and fraction magnitudes. The present longitudinal study (N = 435) used a 3-step latent class analysis to examine reasoning about magnitudes on a…

This study examines the collective mathematical reasoning when students and teachers in grades 3, 4, and 5 explore fractions derived from length comparisons, in a task inspired by the Elkonin and Davydov curriculum. The analysis showed that the mathematical reasoning was mainly anchored in mathematical properties related to fractional or algebraic…

Computational thinking requires high cognitive load as students work to manage multiple tasks in their problem-solving environment. Through research in K-2 classrooms on computational thinking, we noticed that students lack the representational fluency needed to move from one form to another--such as moving from physical to more abstract…

We investigated how young children evaluate disagreements between two people and whether formal education affects this capacity. We compared 120 first graders tested during the 2014-2015 academic year, who received a direct instruction-based curriculum, with 112 first graders tested in the same school system during the 2016-2017 academic year, who…

Due to their abstract nature, representation of mathematical concepts through different registers favors their understanding. In the case of ''sequences and regularities'', it becomes propitious the exploration of different registers of representation in the institution of topics, such as term, order, formation law, and generating expression.…