Table Pattern Task and Standards for Mathematical Practice
{"Image DocumentName": "Table Pattern Task and Standards for Mathematical Practice", "Image ImageDescription": "Standard for Mathematical Practice 3: Construct viable arguments and critique the reasoning of others. How did the teacher facilitate the task to support Standard 3? As a student, what did you do to demonstrate proficiency of Standard 3? What other Standards for Mathematical Practice were addressed by this task? TIME: 30 minutes (CONTINUED for Slides 50 to 56) ___________________________________________________________________________________. Ask, How did the CGI process engage students in the Standards for Mathematical Practice? Tell participants that many practices may have been addressed by this problem. [click] To begin with, let\u2019s start looking at Practice 3 because the Table Pattern Task provides an opportunity to make conjectures, and the cooperative approach to the problem provides an opportunity to critique the reasoning of others. [click] How did the teacher facilitate the task to support Standard 3? Lower level questioning to gain entry to the problem. Questions to think about how to organize thinking/work. Questioning to consider possible strategies. Pattern blocks/handout to model the problem. Peer support to discuss the problem/strategize together. [click] What did the student do? (Questions for Planning and Observation, North Bay Mathematics Project) Make conjectures, then explore the problem to support or disprove their conjectures and then refine or change their conjectures? Construct their justification? Use objects? Drawings? Diagrams? Examples and counter examples? Have opportunities to explain their conclusions and communicate their reasoning with others? Have opportunities to ask useful questions to seek clarity? Follow the arguments of others looking for flaws and explaining them? [click] What other Standards for Mathematical Practice were addressed by this task? Have participants locate the Facilitating Mathematical Thinking with Effective Questions handout which can be used as a resource to facilitate problem solving. HANDOUTS: Facilitating Mathematical Thinking with Effective Questions. California\u2019s Common Core State Standards: Toolkit | Instruction, K-5 | ELA and Mathematics.", "Image XResolution": "37", "Image YResolution": "37", "Image ResolutionUnit": "Pixels/Centimeter", "Image Software": "SlidePlayer", "Image YCbCrPositioning": "Centered"}