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In this video from Making the Case, math teacher Chris Luzniak explains how he invites students to post their conjectures on boards in the classroom and sign them. If these get proven as rules or theorems, they are named after the student who first came up with them (paralleling how theorems are named in the mathematical literature). This supports students’ sense of ownership and engagement with mathematics, and can make their connection to mathematical arguments more personal. Having relevant conjectures and rules visible in the classroom also makes these available to students for use in argumentation and critique, supporting that aspect of the Common Core Standards for Mathematical Practice.