when do they accelerate in japan? after 8 th grade!!!!!!! 35
TRANSCRIPT
When do they Accelerate in Japan?
After 8th Grade!!!!!!!1
Where to Accelerate????
2
When do we Accelerate?????
The Only Reasonable Answer for Learning: 9th Grade!!!!3
GoalsIdeas for Transitioning to a Common Core Curriculum
4
Unit of Study
Pre- assessment Instruction
Final AssessmentInstructionInstructionExpert
Investigation FAL
1 day 5 - 10 days 2 days 1 day
5
Problems of the Month
A program to foster
school-wide participation in math and
problem solving.
6
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, (1887 - 1985) Father of Problem Solving; “How to Solve It”, 1945
7
Celebrating Problem Solving
School Wide Use of POM’s8
Problem of the Month
Party Time
9
Problem of the Month
Party Time
10
Second Grade - Working on Party Time Level C
11
Celebrating Problem Solving
School Wide Use of POM’s12
Gallery Walk for Party Time
13
“Mathematics is not a careful march down a well-cleared highway, but a journey into a strange wilderness, where the explorers often get lost.”
Fermat’s Enigma, p. 71
14
Curriculum inspired by the CCSSMAP’s Formative Assessment Lessons and Professional Development Modules
Assessment For Learning Formative Assessment Lessons (2 days) for High School and Middle
School 15
Optimizing: Security Cameras
16
Security Cameras
A shop owner wants toprevent shoplifting.
He decides to install asecurity camera on theceiling of his shop.
The camera can turnright 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
17
18
Plan View
P-2
19
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
20
Security Cameras1. 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
21
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
22
Sample Responses to Discuss: Simon
P-23
Sample Responses to Discuss: Ellie
P-24
Sample Responses to Discuss: Rhianna
P-25
Classroom Challenges: Formative Assessment Lesson – Security Cameras
26
MATH TALKS
27
Number Talk: Word Problem Number Talk: Word Problem
28
29
Other Types of Math TalksOther Types of Math Talks
30
Professional Development Opportunities 2012-2013
Silicon Valley Mathematics Initiativewww.svmimac.org
David FosterSilicon Valley Mathematics Initiative
www.svmimac.org
31
• SVMI’s Resources and ProgramsProfessional 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
32
This site gets 17,000 hits each week. Approximately 10,000 to download POMs.
33
34
Inside Mathematics Website
http://www.insidemathematics.org
Silicon Valley Mathematics Initiative
http://www.svmimac.org
Mathematics Assessment ProjectUC Berkeley & Shell Centre for Mathematical Education
http://map.mathshell.org/materials/lessons.php
35