Number sense is the basis of arithmetic and algebra, but counting dominates instruction, and fine-grained explorations of what children "do" as they develop number sense are relatively rare. Conceptually congruent actions that align with the mathematics support learning, and multitouch technology can afford using these actions while…

Intuitions are incomplete knowledge structures that help us make sense of the world around us. Additionally, when learners are given opportunities to talk about their intuitive understanding, it helps construct their knowledge in a domain (music). The issue with intuitions and intuitive responses is not whether they are correct or incorrect, but…

This article describes a study that investigates learner responses to three distinct types of corrective feedback for misspellings produced by English learners of German. Twenty-eight beginner and intermediate students used an online parser-based system for German that recorded student interaction with the software over 15 weeks. The study…

How does a computer analyze the appropriateness of a language student's response? Issues arising in the development and use of language-learning software are discussed. (MSE)