• “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 (updated regularly) 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.



    CCSS Toolbox Website

    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.

    Common Core Tools

    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.

    Illustrative 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.

    Inside Mathematics

    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

    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.

    Teaching for Robust Understanding Website

    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.

    You Cubed Website by Jo Boaler

    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. 

    Getting Started with Number Talks

    Teaching Channel website highlights teacher articles and tips on how to implement number talks with practical routines.