In this paper, we investigate the correspondence between student affect and behavioural engagement in a web-based tutoring platform throughout the school year and learning outcomes at the end of the year on a high-stakes mathematics exam in a manner that is both longitudinal and fine-grained. Affect and behaviour detectors are used to estimate…

Problem solving, introduced in every grade and practiced throughout elementary school, is an essential foundation on which students build their understanding of mathematical ideas, operations, and relationships. This article discusses 1-2-3 Time, an instructional mode that promotes multimodal math learning in ways that engage and sustain students'…

A teacher describes the frustrations of an intelligent, learning-disabled fourth-grader who cannot pass the Massachusetts Comprehensive Assessment System despite standard academic accommodations. The teacher advocates development of alternative or "nonstandard" accommodations and tests that assess students' spatial, problem-solving, and…