Concrete-Representational-Abstract (CRA) Math Days

Concrete-Representational-Abstract (CRA) Day: Addition and Subtraction

PaTTAN - Harrisburg Google Maps

Session Dates

Tuesday June 16, 2020 8:30 AM - 3:30 PM


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.



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


Target Audience

Special Education Teachers, Math Teachers; Instructional Coaches; Curriculum Coordinators; IU Math TaCs


Individuals attending this course must arrive on time and stay the duration of the course in order to receive Act 48 Professional Education hours. Requests for exceptions are to be brought to the attention of the individual´s Superintendent or IU Director prior to the course.

Topics Covered: Mathematics

Reasonable efforts will be made to accommodate individuals who have special needs as addressed by the Americans with Disabilities Act and who need assistance at this training. Contact: Sonya Barksdale, at 717-901-2268, or " Barksdale email)"

Event Info

Event Type:


Credit Type:

Act 48 Clock Hour
No credit


PaTTAN Educational Consultant

Event Contact:


Sonya Barksdale


Jared Campbell