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Getting Started: Operations & Algebraic Thinking (K-5)

This course provides an overview of the Common Core Standards for Mathematics for grades K–5, focusing on the Number and Operations in Base Ten domain.


About This Course

In this course, you will take a look at the Number and Operations in Base Ten domain that spans kindergarten through fifth grade. You will have an opportunity to explore how the Number and Operations in Base Ten domain builds on Counting and Cardinality, connects to Operations and Algebraic Thinking, and creates a foundation for middle and high school mathematics. The operations of addition/subtraction and multiplication/division will be highlighted to explore strategies to support students with computational fluency, procedural fluency, and conceptual understanding. In addition, you will learn about progressive strategies students tend to use to solve arithmetic tasks, and learn more about the mathematics education research behind the Common Core State Standards for Mathematics.

What You'll Learn:

  • How the mathematical content in Number and Operations in Base Ten fits in the progression of the development of students’ arithmetic and algebraic reasoning
  • What computational fluency is, why it is important, and some strategies for engaging students in tasks the support the development of computational fluency
  • How students’ work on Number and Operations in Base Ten can reflect the Common Core Shifts (focus, coherence, and rigor) and incorporate the Standards for Mathematical Practice

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WAYS TO TAKE THIS COURSE

Simply Audit this Course

Can't commit to all of the lectures, assignments, and tests? Audit this course and have complete access to all of the course material, tests, people, portfolios, and the online discussion forum. You decide what and how much you want to do.

Try for a Certificate

Looking to test your mettle? Participate in all of the course's activities (we use the honor code around here) and if your work meets the 85% requirements, you'll receive a personalized certificate to showcase your achievement. You can also apply for course credit (if desired).


Course Staff

Angela Knotts


Angela Knotts works in both math education research and professional development at WestEd. Before coming to WestEd, she taught middle school and high school math for eight years, mentored and supervised pre-service teachers at USF, NDNU, and Stanford University, and designed and led professional development experiences for pre-service and in-service teachers.

Cathy Carroll


Cathy Carroll specializes in mathematics education and mathematics teacher leadership. She is co-author of Learning to Lead Mathematics Professional Development and Making Mathematics Accessible to English Learners: A Guidebook for Teachers. Cathy served as Director of the Mathematics Renaissance Leadership Alliance, an initiative designed to develop teacher leadership for quality mathematics programs. She also has nearly twenty years of experience teaching middle school mathematics.

Katie Salguero


Katie Salguero provides professional development in mathematics and works on math education and evaluation research. She has worked on several large-scale federally funded projects such as Aim for Algebra, Making Middle School Mathematics Accessible to All Students, Learning and Teaching Linear Functions, and CPB-PBS Ready to Learn. Before joining WestEd, she taught middle and high school mathematics.
This course is designed to follow the Introduction to the Standards for Mathematical Practice (Grades K–5) and Introduction to the Standards for Mathematical Content (Grades K–5) courses. If you have not yet completed those courses, you are strongly encouraged to do so before beginning this course.

For more information and to register for the Standards for Mathematical Practice (Grades K–5) course, click here.

For more information and to register for the Standards for Mathematical Practice (Grades K–5) course, click here.
Cathy Carroll, Angela Knotts, Katie Salguero
Course Code: MA220E
Course Release: May 27, 2015
Estimated Effort: 15 Hours

Suggested Prerequisites:
This course is designed to follow the Introduction to the Standards for Mathematical Practice (Grades K–5) and Introduction to the Standards for Mathematical Content (Grades K–5) courses. If you have not yet completed those courses, you are strongly encouraged to do so before beginning this course.

For more information and to register for the Standards for Mathematical Practice (Grades K–5) course, click here.

For more information and to register for the Standards for Mathematical Practice (Grades K–5) course, click here.

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