There is a need, a time, and a place for building procedural fluency no matter what mathematical topics are being studied. However, moving students beyond procedural mathematics to developing true understandings of the mathematics with which they are engaging requires students to think. The Farmer Jones task for middle school students requires students to investigate the relationships between the tangram pieces while working with dimensional analysis. Opportunities for developing spatial reasoning and logical reasoning are provided as students work through the investigation. Questions about moving the learning forward as well as extending the learning and reflecting are provided in addition to facilitation notes.
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