In this article, we investigate the effects of the app "Fingu" on a child's understanding of the part-whole concept. Using the Artifact Centric Activity Theory framework, we initially analyse the internalisation and externalisation processes that appear to occur during one child's use of the app. Based on the learning from this process,…

The relationship between mathematics anxiety and performance has not been explored with young children who learn math using visuospatially rich adaptive games. In this study, 40 second graders used Reflex™, a game-based, visuospatially intensive adaptive learning platform for practicing mathematics fact fluency. A within-subjects, pretest-posttest…

Project-based learning (PjBL) represents a fundamental instructional reform in the new Chinese national curriculum. This study uses a new type of noticing, termed "curricular noticing," to address the questions: How teachers attend to, interpret, and respond to textbooks through the PjBL lesson study? What shared patterns emerge in…

Maths starts with children's first experiences of their world with understanding spatial relations, and then continues with their experiences to extend their learning. The learning process starts before formal education and moves along with school learning. As the first stage of formal learning, early years and early years teachers play an…

The implementation of large-scale intervention and development projects is often problematic, and the impacts of such projects usually fall somewhat short of what was expected. Additionally, the rationalities of intervention projects are not carried over into classroom teaching as directly as expected. This problem is generally known, but…

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 teachers with a toolkit for assessing students in the context of data-based individualization (DBI) in mathematics. Assessing students is a critical component of DBI because it provides teachers with information about what they may need to modify in their instructional programs. In this article, we provide teachers with…

Teachers' self-efficacy in managing classrooms is an important consideration when it comes to bringing educational robots to classrooms. Orchestration tools support teachers by providing awareness indicators of students' progress as well as levers to control the flow of the lesson. We designed and evaluated the impact of an orchestration tool for…

Mathematics coaches are often positioned as important mediators between district administrators and teachers regarding messages about ambitious and equitable instruction. Despite this, little research has sought to unpack the connection between what coaches learn at professional development and how they make their learning available to teachers.…

This study explored 54 preservice elementary teachers' identification and modification of mathematical tasks in raising cognitive demand and examined the features of their modified tasks. The study collected data using a three-phase activity: (a) identifying the level of cognitive demand of the given task, (b) modifying the low cognitive demand…

Teachers' knowledge of the subject matter is considered an important component of their expertise in teaching mathematics. Yet how teachers' understanding of one content area is related to other content areas has not been investigated in depth. We explored this question by investigating teachers' knowledge of two theoretically related areas: (1)…

The number line is a powerful tool for supporting students' understanding of fraction magnitude. Fractions are a critical component of mathematics instruction in the elementary and intermediate grades. More specifically, understanding fraction magnitude is central to mathematical development. Yet, fractions are challenging for many students,…

Rational number proficiency is predictive of later mathematics achievement, especially for rigorous mathematics courses, such as Algebra I. Students with learning disabilities (LD) in mathematics struggle to make adequate progress on rational number concepts and skills that lay the foundation for successfully completing secondary mathematics…

Across multiple age groups and academic disciplines, research has shown that incorporating multimodal signs into instruction can enhance student learning. For instance, gesture might be synchronized with speech or written signs. The present study reports on the semiotic resources used by a teacher-researcher to support kindergarten students'…

With the aim of engaging more students in meaningful thinking in mathematics, a cohort of Year 7 students were introduced to a 'Building Thinking Classrooms' framework for learning in mathematics. In this paper, the authors outline the key features of the implemented framework and share reflections on challenges and benefits.