Mathematical Practice 3: Construct Viable Arguments & Critique the Reasoning of Others
The successful facilitation of the standard is based on the social learning environment of the classroom. "Every class from the most traditional to the most reform-oriented, has social norms that are operative for that particular class. What distinguishes one class from another is not the presence or absence of social norms but, rather, the nature of the norms that differ from class to class"
(Rasmussen, Yackel, & King, 2003, pp. 147-148).
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Extend Your Understanding
Watch the video excerpt below to view an example of a teacher engaging students in constructing viable arguments and critiquing the reasoning of others.
Jacob Disston leads a lesson on connections between ideas about equations, inequalities, and expressions, helping students to use mathematical vocabulary for a purpose to describe, discuss, and work with these symbol strings. Disston and his students share their insights into the day's lesson and reflect on what they learned. He spends time discussing various ways that groups sorted equations. This is an opportunity to make all the knowledge or thinking from the groups public, and honored the idea that there could be different categories.