“The highest form of pure thought is mathematics.” Plato (427 – 347 BCE)
The purpose of the MCOE Educational Services website is to provide support to educators, parents, and students. We will be continuously adding information and resources of value.
We invite you to bookmark the California Department of Education (Math Resources) so that you can return periodically to review what is new.
California Common Core State Standards for Mathematics (CA CCSSM)
The CA CCSSM include two types of standards:
- Standards for Mathematical Practice
These practices are the same at each grade level and represent the “habits of mind” that students need to develop in order to foster mathematical understanding, as well as expertise, skills and knowledge.
- Standards for Mathematical Content
These standards are different at each grade level and represent specific skills and concepts students need to learn.
Both the Mathematical Practice Standards and the Mathematical Concept Standards can be found for each grade level TK through high school in the CCSS Mathematics Framework. This framework is broken into chapters by grade level through 8th grade and by course of study in high school. It also has chapters including Universal Design, Instructional Strategies, Technology, Assessment, and Instructional Materials.
The Dana Center collaborates with local and national entities to improve education systems so that they foster opportunity for all students, particularly in mathematics and science. The center offers resources, tools, instructional materials and services to support educators in implementing the Common Core State Standards for Mathematics. “The Mathematics Common Core Toolkit,” is one of many tools available.
This website is Bill McCallum’s blog site for mathematics, including resources, updates and reports on projects to support the implementation of the Common Core State Standards in Mathematics.
This resource provides guidance to states, assessment consortia, testing companies, and curriculum developers by illustrating the range and types of mathematical work that students experience in a faithful implementation of the Common Core State Standards, and by publishing other tools that support implementation of the standards.
This site provides a resource for educators who struggle to provide the best mathematics instruction they can for their students. Resources include demonstration lesson, mathematics learning tools and resources to support classroom teachers, coaches and administrators’ daily practices.
Among the resources on this site, there is a Common Core Toolkit, a 48-page guide available as a free download or in hard copy for a nominal fee.
The Shell Center is known around the world for its innovative work on mathematics education, including mathematics performance assessments developed by the Mathematics Assessment Project (MAP). MAP is a collaboration between the University of California, Berkeley and the Shell Center team at the University of Nottingham, with support from the Bill & Melinda Gates Foundation. This website includes tasks, lessons and assessments as well as instructional strategies.
Part of the Math Assessment Project has involved research into how the materials are used in classrooms, their effect on teaching practices, and how Professional Development can be used to support the goals of the Mathematics Assessment Project materials. This research lead to the development of the Teaching for Robust Understanding (TRU) Framework, which serves as a resource for educators as they plan and reflect on lessons. This website contains observation and conversation guides.
Stanford Researcher, Jo Boaler and staff provide educators with research articles, activities and lessons for students, that inspire students to persevere and engage in mathematical reasoning.
Teaching Channel website highlights teacher articles and tips on how to implement number talks with practical routines.
- Standards for Mathematical Practice