Math Task Framework:
Contributors:
Stephanie Casper
Marissa Minnick
Samantha Townsend
April Warren
A professional development guide.
What is the Math Task Framework?
[ Foremost, what are tasks?]
Stein and Smith, two mathematics authors, refer to tasks as "segment[s] of classroom activity that [are] devoted to the development of a particular mathematical idea," (1998a) and write, "the day-in and day-out cumulative effect of classroom based tasks leads to the development of students' implicit ideas about the nature of mathematics" (1998a). This means that students’ concept of mathematics rely on the various tasks implemented within a classroom. For this reason, it is important to include a variety of tasks in the classroom, each with a specific intented student learning outcome in mind. When classifying tasks, Stein and Smith emphasize, “we first consider the students - their age, grade level, prior knowledge and experiences - and the norms and expectations for work in their classroom" (Stein and Smith, 1998b), an important addendum implying that teachers have to take their specific class’ characteristics into consideration.
The math task framework is a structure for developing and sorting these tasks based on levels of cognition: high cognitive and low cognitive demand. Within these two general labels, there are subdivisions of memorization and procedure without connection for low cognitive demand tasks, and procedures with connections and doing mathematics for high cognitive demand tasks. Although a task may have a certain label, however, it is important to note that the task may change its level of cognition based on how it is implemented.
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Low cognitive demand | high cognitive demand | sample sort | implications | connect | references