1. Discussion 1.2 After reading Morgatto (2010) and Hacker (2008)compare and contrast the view of Algebra. Please POST your thoughts in response the questions below. How does this Hacker’s opinion piece in the NY Times? Is Algebra as a gatekeeper? How so? If Algebra may not be beneficial to all, why must Algebra be delivered to all? Discussion 3.1: Usiskin Pick one of Usiskin’s four conceptions of Algebra and post to Blackboard about the conception that you picked. Read others’ posts and respond to at least one person. You can either pick someone with the same conception as you or a person who picked the a different conception in which you can agree, disagree, wish to build on, or question their interpretations. Discussion 7.1: d′Ambrosio Reading In D’Ambrosio, Kastberg & dos Santos (2010) – Learning from Student Approaches to Algebraic Proofs, they… Provided types of responses students gave to an algebraic proof, and Described an instructional sequence that teachers could use to help make student thinking more visible to others and may provide opportunities deeper reasoning Review the kinds of responses that students gave and the instructional sequence suggested. This article (and others from this course) discuss the advantages that multiple representations can provide. Why is so much emphasis placed on representations? Discussion 11.2: Card Sort Categories & Responses Examine 2 other groups on Google doc link https://tinyurl.com/ME560W11. Analyze their categories carefully and reply with your thoughts, questions, comments, etc. Try to select groups who have not had many comments. Be ready to share comments to their replies in class. Discussion 11.3: Reflecting on the Card Sort Activity What are some new ideas you have about mathematics/functions or about teaching mathematics;/ functions as a result of this session? What questions would you like to pursue as a result of this activity?
