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Communicating and Making Mathematical Connections

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  • 1. Communicating andMaking MathematicalConnections

2. Value Line or Four Corners 3. Value Line or Four Corners 4. As you enter a classroom, ask yourself thisquestion: "If there were no students in the room,could I do what I am planning to do?" If youranswer to the question is yes, dont do it.(Gen. Ruben Cubero, Dean of The Faculty, United States Air Force Academy) 5. Mathematical processes connect theprocedural to the conceptual.Through the action of processstandards, students display theirinteraction with the mathematics thatdevelops into a deeper understandingfor all.(Ontario Ministry of Education, 2008) 6. Turn and TalkHow students learn is just asimportant as what students learn. 7. Experiencing Communication and Connections Read the instructions below, thenplan your actions using thethinking sheet provided Make 3 cuts 2 pieces need to be of equallength. The other pieces need to be ofdifferent lengths Be prepared to prove your work. 8. If you were to place avalue or a number oneach piece, what wouldthey be?Think Pair Share 9. Communication One of the 7 mathematical process standards Talking and writing are critical processes which studentsdevelop content standards.Credit 24-7 Teacher 10. Five Productive Talk Moves1. Re-voicing Repeating what students have saidand then asking for clarificationSo youre saying its an odd number?2. Repeating Asking students to restate someoneelses reasoningCan you repeat what he just said in your ownwords?3. Reasoning Asking students to apply their ownreasoning to someone elses reasoningDo you agree or disagree and why?4. Adding on Prompting students for furtherparticipationWould someone like to add something more tothat?5. Waiting Using wait time Take your time 11. Observing and Questioning 12. Quick Write How did questioning and conversation with this kindergarten student reveal a deeper understanding ?Classrooms that celebrate mathematicaldiscourse benefit both teacher andstudent. 13. Connections to Math in the Real World3D Solids and 2D Shapes 14. JigsawCreate a learningenvironment inwhich students areencouraged tomake connectionsamong multiplerepresentations.(NCTM, August 2010)Translating and moving flexibly betweenrepresentations is a key aspect of studentsmathematical understanding. 15. Round Table (also called Round Robin)What mathematical operation doesthis make you think of? 16. How many ways can you representthis photo?Use the math tools provided. 17. Value Line or Four Corners 18. Tell me a story!