In this article we advance characterizations of and supports for elementary students' progress in generalizing and representing functional relationships as part of a comprehensive approach to early algebra. Our learning progressions approach to early algebra research involves the coordination of a curricular framework and progression, an…

Project-Based Learning (PBL) is a widely adopted pedagogy that ignites students' interest of a subject through the investigation of an authentic problem and cultivates their abilities of innovation and self-learning. Traditional PBL often involves a project of complexity and significant scale, which, under the time constraint of a course, is often…

A didactic sequence is proposed for the teaching of chemical equilibrium law. In this approach, we have avoided the kinetic derivation and the thermodynamic justification of the equilibrium constant. The equilibrium constant expression is established empirically by a trial-and-error approach. Additionally, students learn to use the criterion of…

Despite historic and ongoing support for the inclusion of improvisation in the elementary general music curriculum, music educators consistently report challenges with implementation of improvisational activities in their classes. This study was designed to examine (a) the extent to which improvisational activities were occurring in the…

Problem-Based Learning (PBL) method emphasizes students' own activity in learning about problems, setting up their own learning goals and actively searching for and analyzing information. In this paper, we describe and discuss our experiences on applying PBL, especially the seven steps method widely used in medical faculties, in an introductory…

We have designed model-development sequences using a common context to provide authentic problem-solving experiences for first-year students. The model-development sequence takes a model-eliciting activity a step further by engaging students in the exploration and adaptation of a mathematical model (e.g., procedure, algorithm, method) for solving…

This article suggests that a genuine reform endeavor towards the "Science for All" paradigm should adopt a holistic approach. There are several countries around the world that adopted the "Science for All" paradigm at the beginning of the 21st century. However, while looking closely at the amount of change that took place in…