This lecture reports on aspects of a larger research programme focused on studying mental mathematics in elementary and secondary mathematics classrooms. It specifically addresses an unplanned aspect that became salient through the work conducted in these classrooms. In this research programme, mental mathematics sessions are designed on a variety…

21st-century skills can be applied to STEM education. The Merdeka Curriculum also has a passion to support teachers and schools in exploring and implementing STEM as a learning approach to improve student competence. The study aims to develop learning tools consisting of the syllabus, lesson plans, and student worksheets (SLS) that are valid and…

Collaborative gestures in the mathematics classroom occur when multiple learners coordinate their bodies in concert to accomplish mathematical goals. Collaborative gestures show how cognition becomes distributed across a system of dynamic agents, allowing for members of groups of students to act and gesture as one. We explore ways high school…

The study aims to understand psychological processes relevant to learning argumentative writing in high school. Multi-group path analysis was used to explore whether self-efficacy mediates the relationship between writing anxiety and use of self-regulation across students with different goal orientation profiles. A cluster analysis identified…

This paper refers to the concept of semiotic and theoretic control describing resources to conduct decisions in epistemic processes. We consider an argumentation process from a complex problem-solving activity involving different conceptual frames related to parabolas. Using a micro-analytical interpretative lens, we will show that, in order to…

This study reports the preliminary results from a field test of the College-readiness Performance Assessment System (C-PAS), a large-scale, 6th-12th grade criterion-referenced assessment system that utilizes classroom-embedded performance tasks to measure student progress toward the development of key cognitive skills associated with success in…

To probe beyond declarative knowledge about real numbers in secondary school, the authors interviewed students in Grades 9, 10 and 12. The main question seems to be whether the length of a decimal expansion is "indefinite" or "infinite." It blurs the mental representation of rational numbers as well. (Contains 3 footnotes.) [For complete…