Using the simplest possible quantum system--the qubit--the fundamental concepts of quantum physics can be introduced. This highlights the common features of many different physical systems, and provides a unifying framework when teaching quantum physics at the high school or introductory level. In a previous "TPT" article and in a…

In order for students to move from using concrete materials to using mental strategies and from additive to multiplicative thinking, the use of arrays and visualisation is pivotal. This article describes a lesson in which students are taken through a Concrete-Representational-Abstract (CRA) approach that involves noticing structure, using…

Students can struggle to understand and use terms that describe probabilities. Such struggles lead to difficulties comprehending classroom conversations. In this article, we describe some specific misunderstandings a group of students (ages 11-12) held in regard to vocabulary such as "certain", "likely" and…

Middle school students need opportunities to craft informal mathematical arguments beyond justification of steps in an algorithm. Pentominoes provide an excellent vehicle for such activity. In this article, the authors describe an exploration with pentominoes that engaged a group of ninth-grade students in proportional reasoning, dilation, and…

The complexity of professional practice requires that educators on all levels "re-think current methods and strategies (rubrics and checklists) that impede the notion of teaching as complex and nuanced" (Klein, 2008, p. 119). Current practices of reflection within teacher education continue to privilege quantitative methods for…

GeoGebra is a mathematics software system that can serve as a tool for inquiry-based learning. This paper deals with the application of a fraction comparison software, which is constructed by GeoGebra, for use in a dynamic mathematics environment. The corresponding teaching and learning issues have also been discussed.

This article develops a framework for self-regulated digital learning, which supports for self-regulated learning (SRL) in e-learning systems. The framework emphasizes 8 features: learning plan, records/e-portfolio and sharing, evaluation, human feedback, machine feedback, visualization of goals/procedures/concepts, scaffolding, and agents. Each…

Today's technology-enabled learning environments are becoming quite different from those of a few years ago, with the increased processing power as well as a wider range of educational tools. This situation produces more data, which can be fed back into the learning process. Open learner models have already been investigated as tools to promote…

Species TOPOS is a free software package for generating three-dimensional (3-D) topographic surfaces ("topos") for acid-base equilibrium studies. This upgrade adds 3-D species distribution topos to earlier surfaces that showed pH and buffer capacity behavior during titration and dilution procedures. It constructs topos by plotting…

Algodoo (http://www.algodoo.com) is a digital sandbox for physics 2D simulations. It allows students and teachers to easily create simulated "scenes" and explore physics through a user-friendly and visually attractive interface. In this paper, we present different ways in which students and teachers can use Algodoo to visualize and solve…

Science can be a difficult subject for EAL (English as an Additional Language) learners to master, mainly because of the prominent role that language plays in the acquisition of scientific concepts. Language is essential to science because it is the means by which we envisage and communicate new ideas. Teaching this new language to pupils involves…

The paradigm of design is changing. Designers now need to be equipped with the skills and knowledge that will enable them to participate in the global move towards a sustainable future. The challenges arise as Design for Sustainability deals with very complex and often contradictory issues. Collaborative learning experiences recognise that these…

For this article, we use a 3D printer to print a surface similar to universal gravitation for demonstrating and investigating Kepler's laws of planetary motion describing the motion of a small ball on the surface. This novel experimental method allows Kepler's laws of planetary motion to be visualized and will contribute to improving the…

The Total Learning Architecture (TLA) program sponsored by the Advanced Distributed Learning (ADL) Initiative seeks to develop a set of policy and standards defining the process for developing a "learning ecology," where multiple services and learning opportunities (of various modalities and points of delivery) can be managed in an…

Erasmus+ CityLab Program at Universidad de Belgrano School of Architecture and Urban Planning, has focused on urban structure as generator of dynamic and transformable spaces, through a local case located at Juan B. Justo Avenue corridor, Buenos Aires, Argentina. The CityLab project motivated students to experience an integrative 3-year…