How can we engage all primary school students in rich mathematical learning, support them to make connections, and develop their mathematical language and reasoning? In this article, we draw on one school's experience in considering an approach to mathematics instruction that could support teachers in addressing this question, specifically…

The authors describe and discuss an activity in which primary school students were instructed how to use graph theory to solve a spatial puzzle. This activity was aligned with the design principles of vicarious failure. They discuss how this impacted the type of dialogue observed in the classroom and found that students were more likely to focus…

This article deals with an introduction of probability at school through sensory modalities. This approach is based on sampling fluctuation with empirical observations of frequencies. Initially, we analyze how students from high school work on such a task by using dice, pencil, and paper. We then identify the use of schemas and data visualization…

The article introduces a mathematics education measure in response to the COVID-19 epidemic in China and explores students' degree of approval and perception of digital equity towards the response. After the outbreak of the COVID-19, "the Chinese New Century Primary School Mathematics Textbook" (NCPM) committee had developed a series of…

The dynamics of students' engagement in online mathematics learning during the pandemic have differed significantly from face-to-face learning. To further investigate this, the current study aims to examine the relationship between student adaptability and engagement, taking into account the mediating role of self-regulation and the influence of…

Abstract Lego construction ability is associated with a variety of spatial skills and mathematical outcomes. However, it is unknown whether these relations are causal. We aimed to establish the causal impact of Lego construction training on: Lego construction ability; a broad range of spatial skills; and on mathematical outcomes in 7-9-year-olds.…

This paper outlines the design and application of a didactic sequence aimed at facilitating primary students' understanding of axial symmetry, utilizing a combination of digital artefacts and paper tasks. We wondered to what extent the designed didactic sequence is able to make primary school students formulate and validate effective programming…

This study examined how elementary preservice teachers attend to precision and how exposure to engaging tasks and activities impacted the development of this Standard for Mathematical Practice. Additionally, the study aimed to understand how the experiences of this study impacted participants' perspectives toward implementing SMP 6: Attend to…

Recognizing patterns is an essential skill in early mathematics education. However, first graders often have difficulties with tasks such as extending patterns of the form ABCABC. Studies show that this pattern-recognition ability is a good predictor of later pre-algebraic skills and mathematical achievement in general, or the development of…

This research aims to 1) develop an effective Active Learning plan combined with skill practice according to the 70/70 criterion, 2) study the learning achievement index through Active Learning combined with skill practice, and 3) investigate the satisfaction towards Active Learning combined with skill practice. The sample group consisted of 27…

This paper reports on the development and use of a "Blueprint for Rural Mathematics" (herein referred to as the "Blueprint") in a study of middle-primary mathematics teaching. The study presented a counter-narrative to the deficit discourse around rural education outcomes through an emic perspective of middle-primary…

Students' ability to operate with increasingly more complex units has been shown to be a key factor in their conceptual development. These abilities have been characterized as "stages of units coordination." This article focuses on the domain of composing and decomposing composite units. Using data from a teaching experiment with a…

Introduction: The 2022 NAEP Mathematics Assessment reported the "largest score declines in NAEP mathematics at grades 4 and 8 since initial assessments in 1990" (NAEP, 2022). More disturbing is that those who could least afford to lose ground lost the most. Gaps based on race, gender, and disability remain virtually unchanged from year…

Teachers' noticing of students' mathematical thinking plays an important role in supporting student learning. Yet little is known about how online professional development (PD)--a growing setting for PD in the USA--can cultivate this noticing. Here, we explore the potential of using two online tools for engaging video to support K-2 teachers'…

The present study is a part of design research in local instructional theory in a pre-algebraic lesson using the Realistic Mathematics Education (RME) approach. The article will focus on recommendations for the type of pre-algebra class that supports elementary school students' algebraic thinking. As design research study, it followed the three…