The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the third-grade level through visualization, play, and…

The importance of practical learning environments for developing preservice teachers' (PSTs') dispositions and skills for teaching mathematics is underscored in a growing body of literature. Hence, teacher preparation programs often include methods courses embedded within K-12 schools. Utilized to a lesser extent; however, are campus-based…

Cross-grade studies are valuable for the development of sequential curriculum. However such studies are time and resource intensive and fail to provide a clear representation to integrate different levels of representational complexity. Lin (Lin, 2006; Lin & Chiu, 2006; Lin, Chiu, & Hsu, 2006) proposed a cladistics approach in conceptual…

For decades, researchers have asserted that K-12 teachers should embed reading comprehension instruction within each academic discipline, including "technical subjects" such as engineering. Recently, this assertion has become a source of controversy among researchers and practitioners who believe that time spent on teaching reading…

Students' prior knowledge has been identified to play an important role in the learning process through conceptual change. In physical education, positive changes in students' lifestyles may come from changes in their conceptual understanding. In this study 45 third grade students (mean age = 8.54 years) were interviewed during their regular…

This article explicates the development of top-view numeric coding of 3-D cube structures within a design research project focused on 3-D visualization skills for elementary grades children. It describes children's conceptual development of 3-D cube structures using concrete models, conventional 2-D pictures and abstract top-view numeric…