An investment in early childhood education pays off when the benefits continue into adulthood. Although many recent preschool interventions have had positive, short-term effects on young children's language, literacy, mathematics, executive function, and social-emotional development, studies show that related gains in cognitive and academic skills…

Learning progressions detail the incremental steps that students take as they learn to master a skill. These progressions are based on developmental research about how students learn and how their thinking develops as a result of instruction. A typical progression not only describes the stages that students must master, but it also shows what…

During the semester break, 36 second-grade students accessed a set of resources and completed a series of online math activities focused on the application of the model method for arithmetic in two contexts 1) addition/subtraction and 2) multiplication/division. The learning environment first modeled and then supported the use of a scripted series…

"That was the day I decided I was bad at math." Countless times, preservice and in-service teachers make statements such as this after sharing vivid memories of learning multiplication facts. Timed tests; public competitive games, such as Around the World; and visible displays of who has and has not mastered groups of facts still…

The distinction between procedural and conceptual learning has long been a topic of discussion in mathematics education and the idea of compression into thinkable concepts that enable the individual make links between them (Tall, 2007). In addition to, the compression to thinkable concept was to be thinking mechanism arising naturally and…

This article promotes the use of mathematically appropriate, engaging and challenging tasks to support learning that is worthwhile. The authors share insights from a three-lesson design experiment and the three tasks along with the results from their implementation are explored.

Walk into any primary grade music class in the U.S., and you will likely hear teacher and students singing a musical greeting, such as "Good morning boys and girls" (sol-mi-mi-sol-sol-mi) and the response "Good morning Miss Purdy" (sol-mi-mi-sol-mi-mi). Since about the 1970s, teachers have been beginning and ending music class for young children…