In this article, the authors provide some insight into how teachers can potentially facilitate among students' representations and activities on mathematical tasks: between or among -- (1) student representations and the context; (2) multiple forms of student representations; and (3) processes in student representations. The authors use the…

This research considers the need to train teachers who can effectively integrate technology for teaching and learning mathematics. The primary goal of this research is to showcase a successful training experience by identifying and describing some indicators of the technological pedagogical content knowledge acquired by pre-service early childhood…

I present my perspective on the design process in this article, arguing for a focus on student learning and "slow design" that stems from knowledge of mathematics and their support system in the learning process. I have a question about the design process academization and task design research direction. Numerous examples from my work at…

Despite research demonstrating the importance of mathematics achievement to children's educational success and trajectories, many children enter kindergarten without the foundational mathematics skills needed to succeed (Garcia & Weiss, 2015). Children's executive function (EF) skills and their learning-related behaviors (Anthony & Ogg,…

Extensive research has explored the ability of young children to learn about the causal structure of the world from patterns of evidence. These studies, however, have been conducted with middle-class samples from North America and Europe. In the present study, low-income Peruvian 4- and 5-year-olds and adults, low-income U.S. 4- and 5-year-olds in…

A large literature has documented that comparison and contrast lead to better performance in a variety of tasks. However, studies of comparison and contrast present contradictory conclusions as to when and how these processes benefit learners. Across four studies, we examined how the specifics of the comparison and contrast task affect performance…

Empirical and theoretical literature on cooperative problem solving in preschool children suggests that integrating features of play into structured, experimental settings should increase the benefits of joint peer interactions and task performance. Four- and five-year-old peer dyads completed a playful, flexible, and child-driven building task or…