Mathematics

Collection of 158 free interactive math and science simulations from University of Colorado Boulder. Engage students in math and science practices, and virtual labs, during remote learning. Find over 2,000 sim-based lessons under teacher resources. 

Collection of 158 free interactive math and science simulations from University of Colorado Boulder. Engage students in math and science practices, and virtual labs, during remote learning. Find over 2,000 sim-based lessons under teacher resources. 

In this paper, we offer a framework for teacher monitoring routines—a consequential yet understudied aspect of instruction when teachers oversee students’ working together. Using a comparative case study design, we examine eight lessons of experienced secondary mathematics teachers, identifying common interactional routines that they take up with variation.

Three iterative, 18-episode design experiments were conducted after school with groups of 6–9 middle school students to understand how to differentiate mathematics instruction. Prior research on differentiating instruction (DI) and hypothetical learning trajectories guided the instruction. As the experiments proceeded, this definition of DI emerged: proactively tailoring instruction to students’ mathematical thinking while developing a cohesive classroom community.

The Flipped Mathematics Study offers advice on how to use video to teach math remotely.

This website provides a growing repository of 360 videos of classroom instruction (currently focusing on elementary mathematics). We also have created and are disseminating tutorial videos for using or creating similar media.

10 NGSS-Plus-5E middle school lessons for teaching STEM with robotics.

22 Common Core State Standards-aligned middle school lessons for teaching STEM with robotics.

Hapgood, S., Paprzycki, P., Czerniak, C.M. (2019). Scientific Inquiry for Young Children: Linking Teacher Professional Development and Family Engagement to Improve Student Achievement. Paper presented at the Society for Research on Child Development conference [SRCD], Balitmore, MD. March 2019.

Czerniak, C. M., Paprzycki, P., Hapgood, S., & Kaderavek, J. (2019). Longitudinal Impact of Early Childhood Science Instruction on Middle Grades Literacy and Mathematics. Paper presented at the Global Conference on Education and Research [GLOCER], Sarasota, FL. May 2019.