Background/Context: Developing strong number sense and additive reasoning in the early grades is a critical foundation for success in school and beyond. Longitudinal studies show that early competence with number and operations predicts later math achievement, reading achievement, high school retention rates, and employability and wages in…

We describe here lessons learned in designing an early algebra curriculum to measure early algebra's impact on children's algebra readiness for middle grades. The curriculum was developed to supplement regular mathematics instruction in Grades K-5. Lessons learned centered around the importance of several key factors, including using conceptual…

Historically, reforms designed to transform teaching from rote, teacher-centered instruction to progressive student-centered instruction have had varied levels of success. Plentiful research juxtaposes teachers' enacted instruction with the instructional ideals of reform efforts to determine the extent to which teachers' instruction aligns with…