Mathematics
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Inspiring curiosity and creativity through mathematics
The San Diego County Office of Education provides direct services to districts, collaborates with projects and agencies, disseminates materials and resources to support K-12 mathematics literacy, and supports student achievement through district, region, and state professional development programs. These activities provide the ongoing training in methodology, curriculum, technology, and assessment that teachers need to provide students throughout the county with a quality mathematics education.
The sum of it all podcast
Join Audrey Mendivil and Mark Alcorn in an asynchronous book club for teachers and leaders. Find more information in the accordion menu, read along and continue the conversation on Twitter with #SumMathChat, or email us to learn more.
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More to Explore
- Professional Learning Opportunities
- The Sum of It All Podcast Episodes and More
- Play Math!
- Distance Learning Resources
- Mathematics Resources and Networks
- Universal Design for Learning in Mathematics
- Adoption of Mathematics Instructional Materials
- The Sum of It All Newsletter Archive
Professional Learning Opportunities
Take advantage of SDCOE's professional learning opportunities to grow as a mathematics leader or educator.
- Elementary
Learn how the authentic integration of science and mathematics in K-2 can activate student curiosity for deeper learning. Identify connections between the subjects and walk away with ways to implement integration in your classroom.
- Elementary
- Secondary
Join a cohort of district and school leaders committed to transforming their students’ mathematics experience and ensure there is equity for every child.
- Elementary
- Secondary
These 20-minute webinars offer a quick look at instructional practices and elements of high-quality instruction. Check out the pre-recorded bursts and stay tuned for new bursts later this year.
New! Develop your understanding of Universal Design for Learning (UDL) in this burst on Next Steps with UDL: Overcoming barriers, reconsidering goals. We explore guiding principles, offer additional resources, and share insights to designing lesson and professional learning with UDL
- Elementary
- Secondary
Math Leaders Network meetings use an EdCamp style to share our best practices and learn from each other.
- Elementary
- Secondary
Have you ever dreamed of bringing Math-on-a-Stick to San Diego? We’re designing a community project to do a San Diego version of math play. We’ll have our first play event at the SD Math Leaders Summit.
- Elementary
- Secondary
Discover ways to transform Individualized Educational Plans (IEPs), and learn about strategies and tools to support all students in building mathematical understanding.
The Sum of It All Podcast Episodes and More
Join Audrey Mendivil and Mark Alcorn in an asynchronous book club for teachers and leaders. Read along with us by either previewing or reviewing a chapter of the selected book in the podcast and continue the conversation on Twitter using #SumMathChat or email us at Sumofitallpodcast@sdcoe.net.
Season 1: Thinking Classrooms
We’re diving into Peter Liljedahl’s Building Thinking Classrooms in Mathematics to think about how we transform our classrooms. We’ll talk about practical take-aways to increase student thinking in classrooms, consider the research - why it’s important how it can help my students - and make connections between this text and some of our current challenges such as building equitable and safe spaces, grading, and how to design for the variability of learners. This is a mathematical adventure you won’t want to miss!
Episodes
Transcripts of each episode are available online.
- Episode 0: Introduction to Thinking Classrooms
- Episode 1: Types of Tasks We Use in Thinking Classrooms
- Episode 2: How We Form Groups in Thinking Classrooms
- Episode 3: Where Students Work in Thinking Classrooms
- Episode 4: How We Arrange Desks in Thinking Classrooms
- Episode 5: How We Answer Questions in Thinking Classrooms
- Episode 6: When, Where and How Tasks Are given in Thinking Classrooms
- Episode 7: When, Where and How Tasks Are given in Thinking Classrooms
- Episode 8: How We Foster Student Autonomy in Thinking Classrooms
- Episode 9: How We Use Hints and Extensions in Thinking Classrooms
- Episode 10: How We Consolidate A Lesson In Thinking Classrooms
- Episode 11: How Students Take Notes in Thinking Classrooms
- Episode 12: What We Choose to Evaluate in Thinking Classrooms
- Episode 13: How We Use Formative Assessment in Thinking Classrooms
- Episode 14: How We Grade in Thinking Classrooms
- Episode 15: Pulling the 14 Practices Together to Build Thinking Classrooms
Season 1 Giveaway
Enter our season 1 giveaway today!
Season 1 Sticker
Send us an email to receive your exclusive Sum of It All Season 1 sticker!
Season 2: Humanizing Disability
If you have a desire to become a better teacher of students with disabilities, you’ll want to grab a copy of Humanizing Disability in Mathematics Education: Forging New Paths by Paulo Tan, Alexis Padilla, Erica N. Mason and James Sheldon for this season’s book club. We will talk about how we ensure students with disabilities have full access to being mathematics doers and thinkers, broaden our definition of what it means to know and do mathematics, and consider how humanizing mathematics education benefits us all. With practical next steps, lasting take-aways and connections to other texts and ideas - join us as we forge new paths!
Episodes
Transcripts of each episode are available online.
- Episode 0: Introduction to Humanizing Disability in Mathematics Education
- Episode 1: The Power of Humanizing Mathematics Education
- Episode 2: Expanding the Meaning of Mathematics
- Episode 3: Mathematics Education as a Human Rights Issue
- Episode 4: What are Disabilities?
- Episode 5: Exploring Disability Knowledge and Identity as Tools for Humanizing
- Episode 6: Powerful Mathematics Goals in the Individualized Educational Plan
- Episode 7: Building Inclusive Classrooms and Communities, and Mathematics of All
Season 3: Faster Isn't Smarter
For those who are always looking to improve their craft as a teacher but don’t have a lot of time to spend, Cathy Seeley’s Faster Isn’t Smarter contains the right-sized messages to read and discuss with colleagues. We’ve grouped several messages together around distinct themes and will explore how we can address these messages in and out of our math classrooms. Looking to plan ahead? The reading schedule for season 3 is available here. As you speed through this new school year, take a few minutes to listen in and consider how faster isn’t always smarter.
Episodes
Transcripts of each episode are available online.
Season 4: Short Reads
Do you have too many books on your shelf, but are still interested in learning and growing? This season we’re exploring short reads on topics that matter to us and have implications for teaching and learning math. We’ve selected some of our favorite articles that are relevant, timely, and free to access for us to explore together. View the reading schedule for season 4 with links to the articles. Continue with us in your professional learning journey, one episode and article at a time!
Episodes
Transcripts of each episode are available online.
Season 5 Curious Schools
Join Audrey Mendivil and Mark Alcorn in an asynchronous book club for teachers and leaders. Read along with us by either previewing or reviewing the selected text in the podcast and continue the conversation on Twitter using #SumMathChat or sumofitallpodcast@sdcoe.net
Episodes
Transcripts of each episode are available online.
Season 6 Mathematizing Literature
What could happen if we approached any story with a math lens? This season, we’re reading Allison Hintz and Anthony T. Smith’s Mathematizing Children’s LIterature: Sparking connections, joy and wonder and exploring the ideas and strategies to thoughtfully mathematize learning experiences.
Episodes
Transcripts of each episode are available online.
- Episode 0: Introduction to Mathematizing
- Episode 1: Celebrating the Joy and Wonder of Children's Thinking
- Episode 2: Mathematizing Interactive Read-Alouds
- Episode 3: Book Types and Selection
- Episode 4: Notice and Wonder
- Episode 5: Focused Reads
- Episode 6: Idea Investigations
- Episode 7: Learning Together
- Episode 8: Family and Community Connections
SEASON 7
Interested in exploring how we humanize math instruction and celebrate the brilliance of our multilingual learners? Join us as we read and discuss Teaching Math to Multilingual Students: Positioning English Learners for Success as we learn from case studies, activities, and practical approaches to build on the strengths of multilingual learners, partner with families, and position our learners for success.
Transcripts of each episode are available online.
Episode 1: Teaching Math to Multilingual Students
Episode 2: Positioning Multilingual Leaners as Leaders
The Learning and Leadership Services division of the San Diego County Office of Education (SDCOE) is providing this podcast as a public service for the sole purpose of supporting leaders of mathematics through the discussion of educational texts, but it is neither a legal interpretation nor a statement of SDCOE policy. Reference to any specific product or entity does not constitute an endorsement or recommendation by the SDCOE. The views expressed by guests are their own and their appearance on the program does not imply an endorsement of them or any entity they represent. Views and opinions expressed by SDCOE employees are those of the employees and do not necessarily reflect the view of the SDCOE or all of its officers, agents, and employees. If you have any questions about this disclaimer, please contact our Legal Services department.
Play Math!
When we leverage play in the context of patterns, shapes and numbers, we can create an environment that allows us to experience the joy and beauty of mathematics in a safe space, trying out new ideas without risk. Math play can be structured (a game with specific rules) or unstructured (using shape tiles to create something), and, when designed thoughtfully, it can leave behind mathematical residue that can be drawn upon indefinitely. When we create the opportunity for students to play math, we open the door to endless possibilities, uncovering the mathematical connections that exist all around us.
Learn more about the Play Math! card deck, who the authors are, and what the themes are all about or join us at an upcoming event to experience it yourself! Check out the Lending Library to download a complete card deck.
April 23 - Linda Vista Multicultural Festival
May 1 - North San Diego STEAM Block Party
May 7 - STEAM Community Movie Night
May 15 - San Diego Family Fun Fest
May 21 - Tierrafest Arts & Craft Fair
May 22 - Escondido Street Faire
Distance Learning Resources
Mathematics Resources and Networks
Networks for Math Leaders
TK-12 Math Leaders Network
Designed for math coaches, specialists, TOSAs or similar roles, this group meets monthly to discuss coaching, leading professional learning, and instructional practices. Contact Mark Alcorn or Audrey Mendivil to learn more.
Policy and Leadership
An opportunity for leaders to hear about and discuss the impact of decisions made by the State Board of Education (SBE), CAASPP/SBAC, University of California (UC), California State University (CSU), and California Community Colleges (CCC) impact mathematics both from a leadership position and in terms of classroom instruction. Contact Mindy Shacklett for more information.
SoCal Math Specialist Network
Open to all educators who support math teachers, including TOSAs and coordinators. The network meets every other month, and rotates locations throughout Southern California. Join the email list to get hear more about the dates, topics and locations.
Equity in Math
“A Pathway to Equitable Math Instruction” is an integrated approach to mathematics that centers Black, Latinx, and Multilingual students in grades 6-8, addresses barriers to math equity, and aligns instruction to grade-level priority standards. The Pathway offers guidance and resources for educators to use now as they plan their curriculum, while also offering opportunities for ongoing self-reflection as they seek to develop an anti-racist math practice. The toolkit “strides” serve as multiple on-ramps for educators as they navigate the individual and collective journey from equity to anti-racism.
Mathematics Content and Lesson Resources
California Mathematics Frameworks
The state mathematics framework consists of grade level, and course specific chapters designed to guide teachers in curriculum development and instruction. In addition, there are multiple appendices which provide support for all educators in the many facets of implementing the state standards for mathematics.
Inside Mathematics
A professional resource for teachers, coaches, and principals including problems of the month, performance tasks, and other resources.
Illustrative Mathematics
A carefully vetted collection of resources including high-level mathematics tasks, and videos that support understanding of the progression of mathematical ideas within the domains of the California Standards for mathematics.
Illuminations: Resources for Teaching Mathematics
This website contains lessons and activities that have been developed in alignment with the National Council of Teachers of Mathematics Principles and Standards for School Mathematics, and the Common Core State Standards for Mathematics.
Websites for Families
Parent Roadmaps to the Common Core Mathematics Standards
These roadmaps in mathematics provide guidance to parents about what their children will be learning and how they can support that learning in grades K-8.
California Department of Education (CDE) Smarter Balanced Assessment
Get the latest information about the new generation of English language arts/literacy and mathematics assessments.
Professional Organizations and Research Groups
National Council of Teachers of Mathematics
The world's largest mathematics organization that serves as the public voice of mathematics education.
California Mathematics Council
An organization that promotes professional activities, engages in communicating with educators, parents, and legislative bodies, and supports increasing the diversity of leadership in mathematics education at the local, state, and national level.
Greater San Diego Mathematics Council
A community dedicated to promoting students' appreciation and competency with mathematics, and supporting educators in illuminating this vision for students.
Center for Research in Mathematics and Science Education
An interdisciplinary community of scholars at San Diego State University dedicated to advancing mathematics and science education at local, state, and national levels.
Universal Design for Learning in Mathematics
Rethinking mathematics instruction to honor student thinking and dismantle oppressive systems is the work of forward thinking educators and organizations. Educators need tools and next steps to interrupt the inequities of traditional mathematics instruction. The Universal Design for Learning (UDL) guidelines can be used as a practical support for each and every student to access grade level mathematics standards. Focusing on the student, honoring the fountains of knowledge they bring, and using UDL as a foundation for shifting mathematics instruction, will prepare our students for the present and future world, in which problem solving and collaboration are the measures of success.
In our UDL professional learning, participants will:
- Broaden their definition of mathematics to encourage productive belief systems.
- Articulate how Universal Design for Learning (UDL) is a response to the myth of average and a resource to plan for the expected variability of learners of mathematics.
- Identify connections between the Standards for Mathematical Practice (SMPs) and Universal Design for Learning (UDL) in order to create a learning environment of productive struggle for all.
- Be prepared to lead a first step of implementation of the Universal Design for Learning (UDL) guidelines to support all students in engaging and demonstrating learning in mathematics.
We have designed asynchronous modules that can be embedded into your professional learning structures, and can provide further customization to each school or district, including in-person and synchronous virtual learning opportunities.
Contact Mark Alcorn for additional information.
Using Mathematical Routines that Honor and Develop Expert Learners
View the workshop that Mark Alcorn and Audrey Mendivil presented at the 7th Annual CAST UDL Symposium in July 2021.
Adoption of Mathematics Instructional Materials
The SDCOE Math Team is available to support you in your math materials review, pilot and adoption. The process begins by articulating the current state of math teaching and learning in your LEA, a vision for math teaching and learning for the future, and then identifying particular needs in materials to support moving from the current state towards the vision.
Guidance for Math Materials Adoption
Frequently Asked Questions
You can find answers to general Instructional Materials FAQs from CDE, or check out our curated Math Materials FAQs below:
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Which program has the best technology options (can be used with specific devices…)?
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When will there be a new list of materials (for the new math framework)?
Frequently Asked Questions and Answers
What books are on the recommended list from the state?
The list of approved mathematics curriculum for K-8 is available here. As of 2013, EC Section 60210 was added via AB 1246 (Brownley). It states the following: "(a) Notwithstanding any other law, a local educational agency may use instructional materials that are aligned with the academic content standards adopted pursuant to Section 60605 or 60605.8, including instructional materials that have not been adopted by the state board pursuant to Section 60200.” This means that LEAs can adopt materials not on the approved list. There is no complete listing of all mathematics materials, but EdReports does provide an extensive list of mathematics materials.
What books do you recommend (to adopt or pilot)?
It is impossible from our position to fully assess and recommend materials because of the uniqueness of each LEA, and the needs of the teachers, students and families. Each program has strengths and shortcomings. It is important to match these to the strengths and needs of your LEA at the specific time you are looking to purchase new materials. We believe that local teams hold the expertise needed to make these decisions, and we are available to support you on your journey.
How does SDCOE support us through an adoption process?
We can customize our support to your needs during an adoption process. We’ve developed a tool to help guide you through important steps in the process, which you can access here. As you consider the process, please reach out to us for additional support.
Mark Alcorn, for K-5 support
Audrey Mendivil, for 6-8 support
Mindy Shacklett, for 9-12 support
SDCOE operates the Learning Resource Display Center (LRDC) in Linda Vista which houses instructional materials available for viewing. You can make an appointment to view materials. We highly recommend that you ask in advance if there are particular programs you wish to review, to ensure their availability.
In addition, the staff at the LRDC maintains a list of publisher contact information, and can help you navigate getting review materials delivered directly to your LEA if you prefer.
What programs are other districts using?
We are unable to maintain a list of math materials used throughout the county due to the frequency that materials are changed.
We also recognize that the uniqueness of each LEA, and the needs of the teachers, students and families need to be matched to their own materials.
Which program gets the best test scores?
We don’t have any research that supports correlating a specific material to test scores.
EdReports offers various reports to help indicate the degree to which the materials are aligned with CA Standards, both content and practices, which are the targets of the state assessments. A high degree of alignment might indicate a high degree of support for students in preparing them for state assessments. In particular, their reports on Gateways 1 (content standards) and 2 (practice standards) offer information about the materials’ alignment.
Which program has the best EL support?
We recognize the brilliance and needs of emerging bilingual students, but also that their strengths and needs are variable across the identity marker. We encourage you to consider with your students, teachers and families the unique strengths and needs of your emerging bilingual learners as you work through the important steps towards adoption.
Which program do teachers like?
We recognize the brilliance and needs of all teachers, but also that their strengths and needs are variable across the county. We encourage you to consider with your teachers the unique strengths and needs they have as you work through the important steps towards adoption.
In addition, EdReports offers various reports to help indicate the degree of usability of the materials (Gateway 3).
Which programs come with an intervention program?
We are unable to maintain a list of math materials that have intervention programs due to the frequency that materials are changed.
As you consider intervention, we recommend reading or watching one or more of the following:
- 13 Thoughts on Math Teaching and Intervention as We Enter the 2021 School Year by Dr. Rachel Lambert
- Centering Our Humanity: Addressing Social and Emotional Needs in Schools and Mathematics Classrooms by TODOS
- Universal Design for Learning at a Glance by CAST
- Taking the First Step in Designing Mathematics Intervention by Achieve the Core
- How to Select Math Intervention Content by Achieve the Core
Which program has the best technology options (can be used with specific devices…)?
We are unable to maintain a list of math materials that have technology options (or used with specific devices) due to the frequency that materials are changed.
As you consider technology use in mathematics, we recommend reading or watching one or more of the following:
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Effective Technology Use in Math Class by Edutopia
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Do We Have to Integrate Technology in the Math Classroom? By Dr. Matt Larson
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Effective and ineffective technology in the math classroom by Math Teacher Lounge
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Demonstrating Conceptual Understanding of Mathematics Using Technology by Achieve the Core
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Redefining Teaching and Learning with Technology by Jason Brown (TEDxNorwichED)
What open resources are there?
There is a list of open resources available here. In addition, EdReports continues to review new materials and maintains a list of new materials under consideration.
When will there be a new list of materials (for the new mathematics framework)?
The new mathematics framework is currently in process. You can view the timeline here. There will be a materials review after the final SBE approval of the new mathematics framework.
The Sum of It All Newsletter Archive
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