Measurement is a critical component of mathematics education, but research on the learning and teaching of measurement is limited. We previously introduced, refined, and validated a developmental progression -- the cognitive core of a learning trajectory -- for length measurement in the early years. A complete learning trajectory includes…

Do young children naturally develop the foundations of science, technology, engineering, and math (STEM)? And if so, should we build on these foundations by using STEM curricula in preschools? In this article, Douglas Clements and Julie Sarama argue that the answer to both these questions is yes. First, the authors show that young children possess…

We examined children's development of strategic and conceptual knowledge for linear measurement. We conducted teaching experiments with eight students in grades 2 and 3, based on our hypothetical learning trajectory for length to check its coherence and to strengthen the domain-specific model for learning and teaching. We checked the hierarchical…

We used a cluster randomized trial to evaluate the effectiveness of a research-based model for scaling up educational interventions, focusing on the persistence of effects with and without a follow-through intervention. The instantiation of the Technology-enhanced, Research-based, Instruction, Assessment, and professional Development (TRIAD) model…

Mathematics and language both involve learning skills, but the letters and sounds of literacy seem distinct from the basic facts of mathematics. In this article, the author explains the connection between language and mathematics. She explains that mathematics and language are interconnected because when one discusses and debates about…

How learning about learning trajectories has helped a teacher develop goals and objectives for her preschool children's mathematical knowledge, identify children's developmental levels in specific mathematical topics, and chart paths for instruction that will guide their learning of mathematics. Participating in research encouraged her to develop…

Four-year-old (N=45) children were trained for eight weeks in one of three conditions: (1) logical foundations (classification and seriation); (2) number skills (counting); and (3) control. The experimental treatments were based on the logical foundations model of Piagetian theorists and a skill integration model. (Author/BS)

The use of calculators in helping students to construct their own learning is discussed. Two games which illustrate this concept are presented. The features of a constructivist lesson which uses calculators are listed. (CW)