ABSTRACT

"Problem solving approach" refers to students' ability to make sense of a problem and select a strategy and implements it, or reason about how to solve the problem. This dimension also includes key elements of precision identified in the Common Core State Standards for Mathematical Practice, including labeling units and using precise mathematical language. Some of the tasks include student work, which serves both to illustrate the manner in which students interpret the directions given to them and to anchor the different points in the scoring rubrics. Many of the performance tasks in this collection explicitly ask that students explain their thinking. Together, these three large domains can be used by teachers seeking to gain insight into students' knowledge, understanding, skills, and behaviors as those students pose and solve mathematical problems. Fraction task requires students to understand the inverse relationship between the size of numbers in the denominator of a unit fraction and the value of that fraction.