The algebraic group Spin[subscript 3 × 3] arises from spinning collections of the numbers 1-9 on a 3×3 game board. The authors have been using this group, as well as a corresponding online application, to introduce undergraduate students to core concepts in group theory. We discuss the benefits of using this deceptively simple, toy-like puzzle in…

This study investigated the impact of a chatbot-based micro-learning system on students' learning motivation and performance. A quasi-experiment was conducted with 99 first-year students taking part in a basic computer course on number system conversion. The students were assigned to a traditional learning group or a chatbot-based micro-learning…

The purpose of this study was to examine patterns of mathematical practices evident during children's interactions with touchscreen mathematics virtual manipulatives. Researchers analyzed 33 Kindergarten children's interactions during activities involving apps featuring mathematical content of early number sense or quantity in base ten, recorded…

In this article we present an activity theory based framework that can capture the complex situations that arise when modern technology like multi-touch devices are introduced in classroom situations. As these devices are able to cover more activities than traditional technologies, even computerbased, media, we have to accept that they now take a…

This document presents a review of evidence commissioned by the Education Endowment Foundation to inform the guidance document "Improving Mathematics in Key Stages Two and Three" (Education Endowment Foundation, 2017). The review draws on a substantial parallel study by the same research team, funded by the Nuffield Foundation, which…

Calculators that have the constant arithmetic feature are promoted, and examples of ways this feature can be used in lessons are presented. (MP)

These documents are three separate sets of student problems and teaching guides geared towards calculators. Series A is designed for pupils from ages 10 to 13; "B" is structured for 13 through 16, and "C" for 16 through 19. The materials are designed to provide activities for investigation and exploration of number properties and patterns that are…

Discusses a method of teaching the multiplication of integers to eighth-grade students that utilizes videotape recordings to represent positive and negative rates. Videotapes of students walking forward and backward in the play and rewind modes illustrate that the product of two negatives is positive. (MDH)