In this paper, we introduce a technology-enhanced pedagogical sequence for supporting lower secondary school students' sense-making of the concept of volume in a non-procedural and non-formula-driven way. Specifically, we illustrate a novel approach of using dynamic geometric environment (DGE) to introduce the meaning of volume and then deriving…

Geometrography, "alias the art of geometric constructions" was proposed by Emile Lemoine between the late 1800s and the early 1900s. It consisted originally of a system to measure the complexity of ruler-and-compass geometric constructions, capable of: designate every geometric construction by a pair of values that manifests its…

Question-embedded videos (QEVs) are learning tools that require students to solve problems and receive immediate targeted feedback while progressing through the video. As an effective learning modality, QEVs may be deployed for the preclass preparation phase of flipped classrooms. As flipped classrooms become more popular in STEM courses,…

A laboratory experiment was developed that connects the interpretation of computer-generated models to the self-assembly of macrocycles. Students compare the reactions of terephthalaldehyde and isophthalaldehyde by reacting each with (R,R)-(-)-1,2-diaminocyclohexane. These isomeric systems serve as the foundation for a discussion about the impact…

This document introduces, describes and exemplifies the technical features of some recently implemented automated reasoning tools in the dynamic mathematics software GeoGebra. The new tools are based on symbolic computation algorithms, allowing the automatic and rigorous proving and discovery of theorems on constructed geometric figures. Some…

Principal component analysis (PCA) is one of the most important and powerful methods in chemometrics as well as in a wealth of other areas. Running a PCA results in two main elements, the score plot and the loading plot; the score plot provides the location of the samples, and the loading plot indicates correlations among variables, the trends in…

As China is playing an active role in the World's politics, economy, and cultural circles, being able to communicate in English has become one of the basic life and work skills and a key for global access and integration. High mobile technology penetration, together with the proliferation of mobile learning applications, have made it possible for…

Rapid development of open educational resources (OER) is often motivated by a new educational paradigm. This paradigm tends to address current challenges such as reusing, goal-oriented remixing, revising, and redistributing OER. This paper proposes a system to automatically remix, which is a step towards automatic course generation. This system…

The author looks at how apps, when carefully chosen and integrated into learning situations, can engage students in the learning experience. This article looks at how a teacher uses an app to assist his Year 2 class to learn about, and apply chance language, in a meaningful way.

Personalization is crucial for achieving smart learning environments in different lifelong learning contexts. There is a need to shift from one-size-fits-all systems to personalized learning environments that give control to the learners. Recently, learning analytics (LA) is opening up new opportunities for promoting personalization by providing…

Climate change is complex, requiring critical thinking on both local and global scales. Its effects vary dramatically around the world and require new strategies to help students grasp its complexity, scale, and interrelatedness. This article describes a project to help biology students think critically about climate change from a global…

There is an increasing interest in developing learning analytic techniques for the analysis, and support of, high-quality learning discourse. This paper maps the terrain of discourse-centric learning analytics (DCLA), outlining the distinctive contribution of DCLA and outlining a definition for the field moving forwards. It is our claim that DCLA…

Despite intensive research in computer-supported collaborative learning (CSCL) over the last decade, there is relatively little research about how groups and individuals in groups engage, sustain, support, and productively regulate collaborative processes. This article examines the role of regulatory processes in collaborative learning and how…

A critical incident is a situation or event that holds significance for learning, both for the students and teachers. This paper presents four examples of critical incidents from a Year 7 teacher's lesson excerpts in Indonesia involving teaching of fractions, to show how they shaped classroom situation, brought forward elements of conflict, and…

A method of solving the Schrodinger equation using a basis set expansion is described and used to calculate energy levels and wavefunctions of the hindered rotation of ethane and the ring puckering of cyclopentene. The calculations were performed using a computer algebra package and the calculations are straightforward enough for undergraduates to…