Learning mathematics involves abstract thinking and the use of symbols. To be successful in a mathematics classroom, students must master what symbols mean and how they work. Much prior work has focused on the nature of the external representations used in mathematics instruction, including manipulatives and symbolic representations. In this work,…

We discuss an original study and two replications conducted over 18 years examining the impact of Teacher Study Group (TSG) in Vocabulary, a professional development (PD) approach for improving pedagogy and student learning. Study 1 focused on the design and development of the PD and included a small-scale randomized controlled trial to assess the…

The present study assessed the effectiveness of the ECRIMO educational application designed to build first-grade level spelling skills. We tested whether using the app to teach spelling would be as effective as providing the same training using traditional paper exercises. The effect of integrating gamification into mobile learning apps, which has…

Fieldtrips to informal science institutions can be opportunities for children to engage in three-dimensional learning, which is the integration of core disciplinary ideas, science practices, and cross-cutting concepts. We explored the question of whether the combination of a planetarium fieldtrip and classroom lessons could support young…

Two ways of measuring change are presented and compared: A conventional "change score", defined as the difference between scores before and after an interim period, and a process-oriented approach focusing on detailed analysis of conceptually defined response patterns. The validity of the two approaches was investigated. Vocabulary…

This study is to investigate the effectiveness of using mobile devices such as iPhone/iPad/android phone/tablet to facilitate mobile learning in aural skills. The application "Auralbook" was designed in 2011 by an engineer/musician to use mobile devices to learn aural skills. This application enables students to sing, record, clap and…

Representations such as drawings, graphs, and computer simulations, are central to learning and doing science. Furthermore, ongoing success in science learning requires students to build on the representations and associated practices that they are presumed to have learned throughout their schooling career. Without these practices, students have…

An artfully designed, 3-D computer-generated video story was created to demonstrate the mixing of primary colors to obtain secondary colors. Two research questions were explored in this research: Do artfully designed 3-D computer-generated video stories enhance learning or are such entertaining works a distraction from learning? And, do children…