This study examines the solutions of 34 kindergarten children as they create equal groups from n bottle caps, where n was equal to 8, 9, 22, and 23. For each n, children were asked to find as many different solutions as possible. The number of solutions they found, i.e., children's fluency, as well as the strategies used to create equal groups,…

Designing and developing games for learning is a difficult endeavor. Educational game designers must not only make an engaging and motivating game, but must also ensure that learning takes place as a result of gameplay. Educational researchers have sought to define design principles in order to lessen the difficulty involved with game design. In…

In this paper, we report on the impact of four activities and two interviews on the organization of an introductory statistics course attended by future mathematics teachers at the University of Sao Paulo, Brazil. The activities were designed to enhance students' learning and collaborative knowledge construction, based on Vygotsky's…

Emphasizing higher order thinking skills is of primary concern within mathematics. Learning environments emphasizing the learners understanding of the subject matter are constantly under review, with one learner-centered emphasis upon instruction leading the way: WebQuests. The design and development of WebQuests for the mathematical classroom…

This publication is designed for families with young children ages four through eight. It aims to help families acquire methods and materials through which to make mathematics more accessible for all students. Special focus is placed on those students from groups that are not traditionally well-represented in mathematics: students of color, girls,…