ABSTRACT
The OGAP Multiplicative Framework was developed from mathematics education research on how students learn multiplicative reasoning concepts and is a valuable tool to help teachers select or design tasks, understand evidence in student work, make instructional decisions, and provide actionable feedback to students. This chapter provides an overview of the OGAP Multiplication Progression, which is one aspect of the OGAP Multiplicative Framework. It uses student work samples to describe and exemplify the different levels on the progression. The OGAP Multiplicative Framework consists of two sections: Problem Contexts and Structures and the OGAP Multiplication and Division Progressions. The OGAP Multiplication and Division Progressions were specifically designed to inform instruction and monitor student learning from a formative assessment perspective. It illustrates how student strategies progress from Additive to Transitional to Multiplicative strategies as they develop understanding of foundational concepts such as unitizing, place value, and properties of operations and as they encounter a range of multiplicative problem situations and structures.
