Teachers' perceptions of their teaching and learning activities are critical, especially given that the Malaysian preschool curriculum has undergone multiple revisions recently. The purpose of this study was to measure Malaysian teachers' perceptions on teaching early mathematics. The study aimed to assess teachers' perception of six constructs,…

This research was conducted to examine the views of preschool teachers regarding out-of-school learning environments for mathematics activities and their usage of these environments. The research was conducted out using a phenomenological design, one of the qualitative research methods. The study group consisted of 42 preschool teachers working in…

In this paper, we draw on our recent research to inspect again some of the theoretical perspectives we have been using to analyze data and to characterize teaching-learning in university settings. We focus particularly, within a sociocultural perspective on Activity Theory and the construct the "Teaching Triad," seeking to embed the…

Drawing on research in the context of Swedish school-age educare and adopting a post-humanist theoretical--methodological approach, we put forward the notion of mathemat-ing to conceptualise mathematical events that emerge in out-of-school configurations of practice. In them, ethical sensibilities as affects of engagement and rejection may be…

Problem-solving ability was one of the competencies that students had to have, but it became more important when learning mathematics. Quite a lot of research has studied this ability, but not much has studied how to optimise it, especially using didactical design research based on lesson study. Participants in this research were 10 students…

Covariational reasoning, essential for understanding functions and modeling dynamic situations, is traditionally introduced in secondary education. This paper proposes introducing covariational reasoning in primary school settings through an artifact, the Tracer. Previous studies investigate a covariational approach to functions with younger…

Textbooks are one of the main resources for teaching and learning mathematics. This study examines the presentation of angle topics in 4th-grade mathematics textbooks in Indonesia and Singapore. The analysis focused on the general characteristics of the textbook and the nature of the mathematical tasks presented. The results showed that Indonesian…

Learning Transformation Geometry (TG) needs a more informal approach to concern situational problems. This study aims to develop actionable knowledge of TG in the form of design related to context and yet general enough to use digital manipulative activities in new situations. We propose such knowledge in the form of conjectured Local…

"Assumptions" play a fundamental role in disciplinary mathematical practice, especially concerning the relativity of truth. However, much is still unclear about ways to help students recognize key aspects of this role. In this paper, we propose a set of principles for task design to introduce students to the role of assumptions in…

This study aims to prepare an educational program based on integrating Science, Technology, Engineering and Mathematics (STEM) to develop students' mathematical thinking skills. It also aims to provide proposals that could have a major role in rebuilding some of the general features on which mathematics curricula can be built according to the STEM…

In this paper we consider implications of the current world-wide inclusion of computational thinking in relation to children's development of algebraic thinking. Little is known about how newly developed visual programming environments such as Scratch could enhance early algebra learning. The study is based on examples of programming activities…

Gambling disorder is a dramatic phenomenon that is spreading, in Italy as well as around the world, among younger and younger people every year. Activities in mathematics lessons at school can help pre-vent it, but it is necessary to know with which attitudes and beliefs students approach such mathematics lessons, as well as the role of the social…

Students encounter difficulties in understanding integral because the concept of integral requires the usage of theorems, formulas, daily life practices, and interdisciplinary approaches. From this point of view, in this study we examine the effects of a teaching process consisting of modelling activities on understanding the definite integral…

Informal statistical reasoning, a fundamental aspect of statistical reasoning, involves students' logical processing of random data to extract meaningful insights. Enhancing this skill is crucial for helping students interpret and address statistical problems within their cultural and contextual frameworks. Activity-centered learning, particularly…

This article aims to show some activities based on non-routine problems with different levels of difficulty and from different classes that are integrated into the curriculum, additionally two spaces were opened for students to interact with recreational mathematics activities with the purpose of providing opportunities to all students access the…