Mathematics

The general aim of the research was to conduct a rare test of the efficacy of hypothetical learning progressions (HLPs) and a basic assumption of basing instruction on HLPs, namely teaching each successive level is more efficacious than skipping lower levels and teaching the target level directly. The specific aim was evaluating whether counting-based cardinality concepts unfold in a stepwise manner.

This article presents results from a design experiment intended to develop students’ understanding of linear functions and rates of change in a linguistically diverse ninth grade classroom. The intervention focused on fostering classroom discussions.

These resources are designed to help put high-quality, equitable math instruction into practice. The VISIONS Project fosters collaboration among state, district, and school-based leaders; mathematics teachers; mathematicians; and researchers who co-design essential tools for all grade levels.

These resources are designed to help put high-quality, equitable math instruction into practice. The VISIONS Project fosters collaboration among state, district, and school-based leaders; mathematics teachers; mathematicians; and researchers who co-design essential tools for all grade levels.

These resources are designed to help put high-quality, equitable math instruction into practice. The VISIONS Project fosters collaboration among state, district, and school-based leaders; mathematics teachers; mathematicians; and researchers who co-design essential tools for all grade levels.

These resources are designed to help put high-quality, equitable math instruction into practice. The VISIONS Project fosters collaboration among state, district, and school-based leaders; mathematics teachers; mathematicians; and researchers who co-design essential tools for all grade levels.

These professional learning modules are designed for use by teacher educators, professional development facilitators, teacher leaders, school or district leaders, family engagement coordinators, and those in similar roles in schools and communities. Most of the materials are intended to be implemented with caregivers and teachers together, and some activities are designed for just teachers. They are structured for you to select what is useful and adapt the materials for your own context and the needs of your community.

These professional learning modules are designed for use by teacher educators, professional development facilitators, teacher leaders, school or district leaders, family engagement coordinators, and those in similar roles in schools and communities. Most of the materials are intended to be implemented with caregivers and teachers together, and some activities are designed for just teachers. They are structured for you to select what is useful and adapt the materials for your own context and the needs of your community.

These professional learning modules are designed for use by teacher educators, professional development facilitators, teacher leaders, school or district leaders, family engagement coordinators, and those in similar roles in schools and communities. Most of the materials are intended to be implemented with caregivers and teachers together, and some activities are designed for just teachers. They are structured for you to select what is useful and adapt the materials for your own context and the needs of your community.

The Transition to Algebra (TTA) curriculum seeks to quickly give students the mathematical knowledge, skills, and confidence to succeed in a standard first-year algebra class and to show them that they can explore mathematics and actually enjoy it. TTA is a full-year algebra support curriculum that can run concurrently with first-year algebra. It is designed to build students' algebraic habits of mind as they explore algebraic logic puzzles that connect to and extend algebra course topics and learn broadly applicable tools and strategies to help them make sense of what they are learning in algebra. Students discuss and refine their ideas as they work through mental mathematics activities, written puzzles, spoken dialogues, and hands-on explorations that engage them in cultivating mathematical knowledge, intuition, and skills.