Clip 8/13: Standard 2: Reason Abstractly & Quantitatively Using Numeric Pattern Problem 1
Overview
Mathematically proficient students make sense of quantities and their relationships in problem situations... Quantitative reasoning entails... attending to the meaning of quantities, not just how to compute them; and knowing and flexibly using different properties of operations and objects.
Fran Dickinson leads a lesson on numeric patterning, helping students to investigate a numeric pattern and to generalize what they see happening as the pattern grows. In this clip, Dickinson describes the importance of individual think time before he asks his students to discuss the relative strength of two different approaches to a patterning task. One pair discusses the numbers within the sample strategy, and Dickinson repeats back their conversation to the whole group, telling his students, “I’ve heard two really good questions about Learner B’s strategy. One was, what are all these 3’s? and Kelcey’s question was, what about this 4? Where’s the 4 coming from?” This clip is also indicative of standard 1 (make sense of problems and persevere in solving them).