When do they Accelerate in Japan? After 8 th Grade!!!!!!! 35

Where to Accelerate???? 36

When do we Accelerate????? The Only Reasonable Answer for Learning: 9 th Grade!!!! 37

Goals Ideas for Transitioning to a Common Core Curriculum 38

Unit of Study Pre- assessment Instruction Final Assessment Instruction Expert Investigation FAL 1 day days2 days1 day 39

Problems of the Month A program to foster school-wide participation in math and problem solving. 40

Mathematics, you see, is not a spectator sport. To understand mathematics means to be able to do mathematics. And what does it mean doing mathematics? In the first place it means to be able to solve mathematical problems. George Polya, ( ) Father of Problem Solving; How to Solve It,

Celebrating Problem Solving School Wide Use of POMs 42

Problem of the Month Party Time 43

Problem of the Month Party Time 44

Second Grade - Working on Party Time Level C 45

Celebrating Problem Solving School Wide Use of POMs 46

Gallery Walk for Party Time 47

Mathematics is not a careful march down a well- cleared highway, but a journey into a strange wilderness, where the explorers often get lost. Fermats Enigma, p

Curriculum inspired by the CCSS MAPs Formative Assessment Lessons and Professional Development Modules Assessment For Learning Formative Assessment Lessons (2 days) for High School and Middle School 49

Optimizing: Security Cameras 50

Security Cameras A shop owner wants to prevent shoplifting. He decides to install a security camera on the ceiling of his shop. The camera can turn right round through 360°. The shop owner places the camera at point P, in the corner of the shop. The plan view shows where ten people are standing in the shop. P-1 51

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Plan View P-2 53

Sharing Individual Solutions 1.Take turns to share your work. 2.Describe how you did the task and how you think it could be improved. 3.If explanations are unclear, ask questions until everyone in the group understands the individual solutions. P-3 54

Security Cameras 1.Which people cannot be seen by the camera at P? Explain your answer, showing clearly on the diagram how you know. 2.The shop owner says, 15% of the shop is hidden from the camera. Show clearly that he is correct. 3.The shop owner decides to move the camera so that it can see as much of the shop as possible. a.Show on the plan view the best place for the camera, so that it can see as much of the shop as possible. b.Explain how you know that this is the best place for the camera. P-4 55

Sample Response to Discuss 1.What mistakes have the students made? 2.What assumptions have the students made? 3.In what ways could the students work be improved? 4.To help you to understand the students work, what questions could you ask them? P-5 56

Sample Responses to Discuss: Simon P-57

Sample Responses to Discuss: Ellie P-58

Sample Responses to Discuss: Rhianna P-59

Classroom Challenges: Formative Assessment Lesson – Security Cameras 60

MATH TALKS 61

Number Talk: Word Problem 62

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Other Types of Math Talks 64

Professional Development Opportunities Silicon Valley Mathematics Initiative David Foster Silicon Valley Mathematics Initiative 65

SVMIs Resources and Programs Professional Development Summer Institutes and Math Workshops throughout the school year. Problems of the Month School-wide Problem Solving School Team Mini - Grants Lesson Study Project Math Coaching Math Network Meetings and Workshops for Coaches and Principals Performance Assessments Promoting Classroom Discourse and Conceptual Understanding Math Talks 66

This site gets 17,000 hits each week. Approximately 10,000 to download POMs. 67

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Inside Mathematics Website Silicon Valley Mathematics Initiative Mathematics Assessment Project UC Berkeley & Shell Centre for Mathematical Education 69