Park City Mathematics Institute
Learning from Teaching Cases
Drafts of Project Files (password required)
- What We Learned from a Mathematical Task Revision
- Mary Jo Hughes, Dave Goodwin, Katie Sweet, Sara Reinke, Kathy Woodbury, Nicole Bannister*, Coordinator
- Our group analyzed the process of taking a mathematical task as found in curriculum materials and modifying it to make it a "group-worthy" task. A group-worthy task is one in which students are required to use multiple abilities to complete a cognitively demanding task; if a task is truly group-worthy, no student will be good at everything required by the task, but all students will be good at something and have something important to contribute to the group's solution.
To identify what made the final task group-worthy, we noted the abilities required to complete the task; it is important that a group-worthy task require students to use multiple abilities. Multiple abilities are the mathematical abilities needed to complete a mathematical task of high cognitive-demand.
We also looked for evidence that the final task is cognitively demanding.
- Small Group Observation Tools
- Dawn Barson, Jennifer Dirksen, Dianna Sopala, Nicole Bannister*, Coordinator
- Observing small groups for mathematical smartnesses and individual participation within each group can be overwhelming to professional in the teaching field. This project provides observation tools, implementation directions, and examples of how these tools can be used to observe small group learning.
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IAS/Park City Mathematics Institute is an outreach program of the Institute for Advanced Study, 1 Einstein Drive, Princeton, NJ 08540
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This material is based upon work supported by the National Science Foundation under DMS-0940733 and DMS-1441467. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.