This paper reports on a key representation, a triple number line, designed as part of the first author's doctoral study. The study sought ways to represent multiple constructs of fractions in the context of merging music and mathematics to support learners' understanding of fractions. A problem scenario was designed guided by Realistic Mathematics…

We introduce, motivate, and exemplify a proposed theoretical construct guiding the design and facilitation of collaborative geometry activities, conceptually generative perspectival complementarity (CGPC). Participants in CGPC activities learn content by negotiating their respective perceptions of situated features they manipulate to accomplish…

In this paper, we present the development of an investigation on the promotion of covariational reasoning in high school students (14-15 years old) in Mexico. The study consists of designing and applying a sequence of didactic activities that simulate a real situation virtually. The activities are organized through a Hypothetical Learning…

This study examines the construct of distance -- the degree of difficulty of interacting with something -- as part of activity involving children using touchscreen digital games to learn mathematics. Ten fifth-grade children engaged in video-recorded semi-structured task-based interviews in which they used two touchscreen digital mathematics games…

For years the text of choice for developing excellence as a teacher of K-12 students with moderate and severe disabilities, this clearly written work has now been revised and updated. Chapters provide step-by-step procedures for designing standards-based individualized education plans and evaluating and enhancing student progress. Methods and…

Gaming and social networking define the millennial student. This research focuses on an evolving collaboration between 2 faculty members of different disciplines who merged Web 2.0 and game scenarios to infuse research techniques as integral components of math/computer science courses. Blogs and wikis facilitated student-faculty interaction beyond…

This paper presents a goal-based scenario approach to teaching introductory database concepts to undergraduates using two different scaffolding methods. One method, termed "worked-out examples," attempts to reduce extraneous cognitive load by requiring students to complete increasingly complex missing parts of worked out examples. The other…

Purpose: The purpose of this paper is to propose and demonstrate an evidence-based scenario design framework for assessment-based computer games. Design/methodology/approach: The evidence-based scenario design framework is presented and demonstrated by using BELLA, a new assessment-based gaming environment aimed at supporting student learning of…