CRA Math Days

Concrete-Representational-Abstract Mathematical Instruction

CRA Math Instructional Methods

This professional development opportunity will support teachers’ learning and implementation of the Concrete-Representational-Abstract (CRA) sequence of instruction, a research-based instructional practice, for the topics of addition and subtraction. Teachers will experience CRA as both a teacher and a learner.

Teaching through a concrete-representational-abstract (CRA) sequence of instruction supports students’ learning and understanding of mathematical concepts and procedures. The CRA sequencing of instruction is evidenced to be an effective instructional practice (Gersten et al, 2009; NMP, 2008; Riccomini & Witzel, 2010; Witzel 2005). Structuring consistent models and language across the representations is a key part of the planning and implementation process. The PaTTAN Mathematics Initiative has created structures that will increase teachers’ ability to immediately implement the concrete-representational-abstract sequence of instruction as a method of making more mathematics accessible to more students.

Choose the CRA math day(s) you would like to attend!

November 18, 2016 ~ Early Numeracy (Audience/PreK - 2nd)

December 6, 2016 ~ Addition and Subtraction (Audience/K - 5th)

December 14, 2016 ~ Multiplication and Division (Audience/2nd - 6th)

January 12, 2017 ~ Fractions (Audience/3rd - 8th)

February 2, 2017 ~ Integers and Equations (Audience/6th - 8th)

Registration link:

Workshop Objectives

  • Describe & model the components of the CRA sequence of instruction.
  • Understand the benefits of CRA that impact instruction and learning.
  • Develop skills necessary to instruct students on early numeracy skills and concepts using a CRA sequence of instruction.