![Page 1: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/1.jpg)
SVMI Network Meeting
April 10, 2013
![Page 2: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/2.jpg)
Assessing and Using Prior Learning to
Adapt Teaching to the Needs of
Students Network Meeting, April 10, 2013
Silicon Valley Mathematics Initiativewww.svmimac.org
Formative Assessment
![Page 3: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/3.jpg)
Welcome
Please sign in, help yourselves to refreshments,
find a seat, and introduce yourself to your tablemates.
![Page 4: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/4.jpg)
Agenda Welcome
Announcements, Norms and Introductions
Re-visiting Formative Assessment with a MAP Module
Doing Collaborative Mathematics: A Problem Solving Task
![Page 5: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/5.jpg)
Announcements
![Page 6: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/6.jpg)
SVMI is … still accepting applications for the
SCVMP Leadership Institute: 5 Tuesdays in May and a week in June. The application is on our website: www.svmimac.org. Each member of SVMI is entitled to one scholarship.
holding two Summer Institutes: Peninsula location is Sequoia HS July 29-August 2 and East Bay is Sunset HS August 5-August 9. The application is on our website: www.svmimac.org.
![Page 7: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/7.jpg)
SVMI is … offering Lesson Study mini-grants
again this year. The mini-grants are for teams of 5 to 7 teachers; the stipend is for $3,000. The application will be out May 1, 2013.
presenting the preliminary results of the 2013 MAC assessment at our General Meeting on May 15, 2013. We encourage everyone to attend.
![Page 8: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/8.jpg)
SVMI Calendar for 2013/2014
Please be sure to pick one up.
![Page 9: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/9.jpg)
Field Testing K-3 Tasks
SVMI needs at least two classes for each task.
A teacher may only do one task; there is no need to do all five.
If possible, the field testing should be done as soon as possible.
Field testing to be done in the stated Grade Level
![Page 10: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/10.jpg)
Kinder Tasks
Alphabet Count: Counting and Cardinality/Op. and Alg. Thinking
Classroom Helpers: Op. and Alg. Thinking
Kinder Measurement: Measurement/Geometry
Dog Park: Counting and Cardinality
Crayons: Op. and Algebraic Thinking
![Page 11: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/11.jpg)
First Grade Tasks Field Day: Op. and Alg. Thinking/ Number
Ops. In Base 10
Number Puzzles: Op. and Alg. Thinking/Number Ops. in Base 10
Recess Equipment: Op. and Alg. Thinking
Weather: Data/Op. and Alg. Thinking
Shapes, Shapes, Shapes: Geometry
School Garden: Measurement/Geometry
![Page 12: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/12.jpg)
Second Grade Tasks Seasons: Data
Quilt Designs: Geometry
Town Zoo: Linear Measurement
Can You Tell?: Op. and Alg. Thinking/Number Ops. In Base 10
Our Gardens: Op. and Alg. Thinking – Mult. and Div.
Favorite Planets: Data
![Page 13: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/13.jpg)
Third Grade Tasks Dinosaur Museum: Measurement - Time
Tamiko’s Puzzles: Fractions
That’s Entertainment: Op. and Alg. Thinking/Number Ops. In Base 10 using 4 operations
The Queen and her Pears: Fractions
Mowing for Money: Geometric Measurement
Odd and Even School: Op. and Alg. Thinking
![Page 14: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/14.jpg)
Norms
![Page 15: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/15.jpg)
The Social Culture of our Network
Seek to Understand
Respectfully Speak your Truth
Monitor your Airtime
![Page 16: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/16.jpg)
Getting Acquainted or Re-Acquainted
![Page 17: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/17.jpg)
Goals and Outcomes
![Page 18: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/18.jpg)
Goals and Outcomes
Explore Social Norms and Socio/Mathematical Norms in the context of experiencing a formative assessment problem solving lesson
Strengthen and enhance participants’ leadership abilities by experiencing a high-quality professional development module to support teachers in their classrooms
Deepen participants’ understanding of the effectiveness of Formative Assessment in the classroom for teachers and students
![Page 19: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/19.jpg)
Lenses to Consider During Professional Development
Sessions
Learner Lens Coach/Admin Lens
![Page 20: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/20.jpg)
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.3. Construct viable arguments and critique the
reasoning of others.4. Model with mathematics.5. Use appropriate tools strategically.6. Attend to precision.7. Look for and make use of structure.8. Look for and express regularity in repeated
reasoning.
Mathematical Practice
![Page 21: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/21.jpg)
Socio-Mathematical Norms
![Page 22: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/22.jpg)
Harold Asturias
Errors are gifts…they promote discussion and learning
The math is important…not just the answer
Ask questions…until it makes sense
Think with language…use language to think
Use multiple strategies…multiple representations
![Page 23: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/23.jpg)
Setting the Stage
![Page 24: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/24.jpg)
A Look at Module 4 and an Alpha FAL
Network Meeting, September 5, 2012Silicon Valley Mathematics Initiative
www.svmimac.org
Questioning
![Page 25: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/25.jpg)
A Look at Module 5 and Collaborative
Tasks
Network Meeting, October 31, 2012Silicon Valley Mathematics Initiative
www.svmimac.org
Collaboration
![Page 26: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/26.jpg)
Exploring Cognitive Demand
Network Meeting, January 9, 2013Silicon Valley Mathematics Initiative
www.svmimac.org
A Look at Addressing Curriculum Needs
![Page 27: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/27.jpg)
Assessing and Using Prior Learning to
Adapt Teaching to the Needs of
Students Network Meeting, April 10, 2013
Silicon Valley Mathematics Initiativewww.svmimac.org
Formative AssessmentHow can I respond to students in ways that improve their learning?
![Page 28: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/28.jpg)
Introduction
Students do not arrive in classrooms as “blank slates.”
Students come with a wide variety of skills and conceptions.
Research shows that teaching is more effective when it assess and uses prior learning so that teaching may be adapted to the needs of students.
![Page 29: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/29.jpg)
Assessing and Using Prior Learning to Adapt Teaching to the Needs of
Students Prior learning may be uncovered
through any activity that offers students opportunities to express their understanding and reasoning.
It does not require testing.
It can take the form of a single written question given at the beginning of a session to elicit a range of explanations that may then be discussed.
![Page 30: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/30.jpg)
Assessing and Using Prior Learning to Adapt Teaching to the Needs of
Students Defining Formative Assessment: Black and
Wiliam, 1998
…all those activities undertaken by teachers, and their students in assessing themselves, which provide information to be used as feedback to modify the teaching and learning activities in which they are engaged. Such assessment becomes ‘formative assessment’ when the evidence is actually used to adapt the teaching work to meet the needs.”
![Page 31: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/31.jpg)
Assessing and Using Prior Learning to Adapt Teaching to the Needs of
Students –Our Focus How can problems be used to assess
performance?
How can this assessment be used to promote learning?
What kinds of feedback are most helpful for students and which are unhelpful?
How can students become engaged in the assessment process?
![Page 32: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/32.jpg)
![Page 33: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/33.jpg)
Research on Formative Assessment
Inside the Black Box: Raising Standards through Classroom Assessment Black and Wiliam, 1998
Working Inside the Black Box: Assessment for Learning in the Classroom Black and Harrison, 2002
Assessment for Learning: Putting it into Practice Black, Harrison Lee, Marshall & Wiliam 2003
Mathematics Inside the Black Box Hodgen & Wiliam, 2006
![Page 34: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/34.jpg)
Activity A
Introducing Formative Assessment
![Page 35: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/35.jpg)
Activity A
Introducing Formative Assessment
To summarize, there are two main purposes of assessments: Summative Assessment: to summarize and
record overall achievement at the end of a course, for promotion or certification. Most ‘high stakes’ tests and external examinations are designed for this purpose. It is also used to evaluate the relative effectiveness of a particular course, teaching method, or even an institution.
Formative Assessment: to recognize achievements and difficulties at the beginning or during a course so that teachers and students can take appropriate action. This type of assessment forms an integral part of teaching.
![Page 36: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/36.jpg)
Activity A
Introducing Formative Assessment
The potential of formative assessment to improve learning:
Setting the Case: “We checked many books and nine years’ worth of more than 160 journals, and earlier reviews of research. This process yielded 580 articles or chapters to study. We prepared a review using material from 250 of these sources. All…studies show that…strengthening…formative assessment produces significant, and often substantial, learning gains. These studies range over ages, across several school subjects, and over several countries… Black and Wiliam, 1998
![Page 37: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/37.jpg)
Activity B
Teachers’ Own Experiences of Formative Assessment
We begin with the following situation:
Think of two students, one who is particularly strong and one who is finding the work very difficult. Using a dyad format, describe the students’ strengths and difficulties in as much detail as possible to your partner.
Protocol: Individual Solo Think Time-30
seconds Dyad-1 minute per partner
![Page 38: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/38.jpg)
Activity B
Teachers’ Own Experiences of Formative Assessment
We begin with the following situation:
How did you become aware of these strengths and difficulties?
On what evidence do you base your judgments? Test results? Memories of oral responses during lessons? Observations of the student working? Written work?
Protocol: Individual Solo Think Time-1/2
minute Dyad -1 minute per partner
![Page 39: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/39.jpg)
Activity B
Teachers’ Own Experiences of Formative Assessment
The third part of the situation:
In what ways do assessments of these students affect lesson planning? Give examples.
Protocol: Individual Solo Think Time-1 minute
Dyad-1 minute per partner
![Page 40: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/40.jpg)
Activity B
Teachers’ Own Experiences of Formative Assessment
![Page 41: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/41.jpg)
Activity C
Principles for Formative Assessment
Handout #2 Keeping in mind the difficulties discussed in
Activity B, please read Principles for Formative Assessment. 1 minute
Please discuss these principles with your partner. Which of these principles do you see implemented in
classrooms? Which of these do you or teachers you know find
most difficult to implement? Why? What other principles do you think are important? 2 minutes
![Page 42: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/42.jpg)
Activity C
Principles for Formative Assessment “It’s all very well telling us to assess our
students, but how can a busy teacher know what is going on inside 30 individual heads?” How would you answer this teacher?
What strategies do you have for finding out what students are thinking in your lessons or the ones you observe?
1 minute for individual think time Please discuss these strategies with your
partner. 2 minutes
Popcorn Sharing with Whole group 1 minute
![Page 43: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/43.jpg)
Activity C
Principles for Formative Assessment
Handout #3 Please read Making Reasoning Visible.
1/2 minute Please discuss these strategies with your
partner. Why are these tools an indispensable resource for
teachers? 1 minute Watch two Video Clips with students in action.
6 min Suggest some further strategies for making
reasoning more evident. 2 minutes
![Page 45: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/45.jpg)
Activity C
Principles for Formative Assessment
Handout #3
Whole group sharing on the video clips. 2 minutes Comments from the module. Teachers can see at a glance with every student
thinks. Allows teachers to ask new kinds of questions, e.g.,
“Show me an example of….” Posters allow students to externalize their thinking-
articulate their reasoning and justification. Posters can be used to show what they already know
not necessarily what they have just worked on. Whole group sharing on additional strategies for
making reasoning evident. 2 minutes
![Page 46: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/46.jpg)
Doing Mathematics
A purposeful shift
Engaging in one of three selected problem solving lessons addressed and used in this module
![Page 47: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/47.jpg)
Lenses to Consider During Professional Development
Sessions
Learner Lens Coach/Admin Lens
![Page 48: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/48.jpg)
PROBLEM SOLVING LESSONS
![Page 49: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/49.jpg)
![Page 50: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/50.jpg)
LET’S DO SOME MATHEMATICS
Optimizing: Security Cameras
![Page 51: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/51.jpg)
Assessment Task: Solo
![Page 52: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/52.jpg)
Assessment Task What are the big mathematical
ideas in this task?
What strategies might students use in completing this task?
Please anticipate what students will understand about this task.
Please anticipate where students may have difficulty with this task.
![Page 53: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/53.jpg)
Protocol
Discuss these questions and anticipations with a neighbor. 2 min
Share with members in your table group. 2 min
Popcorn share with whole group. 2 min
![Page 54: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/54.jpg)
Assessment Task What are the big mathematical
ideas in this task?
What strategies might students use in completing this task?
Please anticipate what students will understand about this task.
Please anticipate where students may have difficulty with this task.
![Page 55: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/55.jpg)
Feedback Questions/Prompts
![Page 56: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/56.jpg)
Feedback Questions/Prompts
![Page 57: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/57.jpg)
Collaborative Activity: Improving the Solution
![Page 58: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/58.jpg)
Sharing Work and Learning From Each Other
![Page 59: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/59.jpg)
Collaborative Work: Planning a Joint Solution
1. Take turns to explain your work and how you think it could be improved.
1. Listen carefully to each other and ask questions if you don’t understand or agree.
1. Once everyone in the group has explained their method, plan a joint method that is better than each of your separate ideas.
1. Make sure that everyone in the group can explain the reasons for your chosen method.
1. Write a brief outline of your planned method on your large sheet of paper.
![Page 60: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/60.jpg)
Break
![Page 61: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/61.jpg)
Collaborative Analysis of Sample Responses
![Page 62: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/62.jpg)
Analyzing Sample Responses to Discuss
P-62
1. Simon
2. Ellie
3. Rhianna
![Page 63: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/63.jpg)
Sample Responses to Discuss: Simon
P-63
![Page 64: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/64.jpg)
Sample Responses to Discuss: Ellie
P-64
![Page 65: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/65.jpg)
Sample Responses to Discuss: Rhianna
P-65
![Page 66: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/66.jpg)
Whole Class Discussion
![Page 67: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/67.jpg)
Whole Class Discussion Compare the different solution methods
and comment on their strengths and weaknesses.
How is this work similar/different to what you did?
Did analyzing the responses enable anyone to see errors in their own work?
Of the three sample pieces of work, which do you think has the most complete and accurate solution? Why? In what ways could it be improved further?
![Page 68: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/68.jpg)
Individual Reflection
![Page 69: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/69.jpg)
Sample Responses to Discuss: Rhianna
P-69
![Page 70: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/70.jpg)
Returning to the Module
![Page 71: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/71.jpg)
Activity D Analyze Students’ Responses to Pb Solving
Tasks The three tasks in this Activity, Counting Trees, Cats
and Kittens, and Security Cameras have a variety of mathematical content, but all focus on problem solving and the modeling skills described in the SMP.
Students are required to choose and combine techniques in non-routine ways.
Traditional summative assessment often focus on isolated content standards and fail to test these ‘process skills’.
Formative Assessment is an effective way to ensure that students are developing these practices.
![Page 72: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/72.jpg)
Activity D
Four Phases of Problem Solving: A Useful Tool to Analyze Students’ Work on These
Tasks Formulate questions, choose appropriate
representations and techniques.
Reason logically, construct hypotheses and arguments, compute accurately.
Interpret and evaluate results obtained.
Communicate and reflect.
![Page 73: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/73.jpg)
Teacher Discussion of Sample Student Responses
What does each sample student’s response [Simon, Ellie, and Rhiana] tell you about his or her capacity to use each of the phases of problem solving:
Formulate
Reason
Interpret and Evaluate
Communicate and Reflect
Discuss with your shoulder partner. 5 minutes
![Page 74: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/74.jpg)
Questions for FeedbackH-17 and H-19 [Handout #6]
If you were the teacher of these students, what feedback would you give them to help them improve their responses?
Frame this help in the form of oral questions you could ask in the classroom.
You may find it helpful to refer to the generic questions on Handout #6.
Discuss with your shoulder partner. 5 minutes
Whole group share out-Round Robin Protocol.
![Page 75: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/75.jpg)
Watching 3 Teachers Discuss Feedback Questions to
Students
Were these questions similar or different to the ones you and your partner discussed?
![Page 77: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/77.jpg)
Watching 3 Teachers Discuss Feedback Questions to
Students
Were these questions similar or different to the ones you and your partner discussed?
What have you learned from this video clip?
Popcorn Whole Group Sharing
![Page 78: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/78.jpg)
Activity E
Observe Formative Assessment in Action
In an earlier lesson, these teachers had asked students to sit in different places and attempt one of the tasks individually, with no help.
They then collected their students’ responses, assessed the work qualitatively and prepared written feedback in the form of questions.
The film clips you are about to see are taken from the follow-up lesson. Students have returned to their normal seats and most have solutions that are different than their partners.
![Page 79: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/79.jpg)
Activity E
Observe Formative Assessment in Action
As you watch the video clips, consider these questions:
What different kinds of assessment can you see?
What is the purpose of each kind of assessment?
What do both the teachers and the students learn?
![Page 81: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/81.jpg)
Activity E
Observe Formative Assessment in Action
Debrief in your table groups:
What different kinds of assessment can you see?
What is the purpose of each kind of assessment?
What do both the teachers and the students learn?
![Page 82: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/82.jpg)
Activity G Consider the Effects of Feedback on Student
LearningSo far we have focused on the teachers’ role in providing
assessment feedback to students. In Activity G, we will consider the use students make of different types of feedback and the impact this has on their learning.
As you watch the video clip consider these questions:
Which of their comments strike you as particularly perceptive and important?
What are the implications of their comments?
![Page 84: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/84.jpg)
Activity G Consider the Effects of Feedback on Student
LearningSo far we have focused on the teachers’ role in providing
assessment feedback to students. In Activity G, we will consider the use students make of different types of feedback and the impact this has on their learning.
As you watch the video clip consider these questions:
Which of their comments strike you as particularly perceptive and important?
What are the implications of their comments?
Give yourselves ½ minute to gather your thoughts and then have a 2 minute dyad with a partner.
![Page 85: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/85.jpg)
Activity G Consider the Effects of Feedback on Student
LearningHandout #8
Please read The Effects of Feedback on Students’ Learning. 1 minute
Have a discussion with your table group and compare the students’ comments with the research quotes in this handout. 3 minutes
![Page 86: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/86.jpg)
Activity G Consider the Effects of Feedback on Student
LearningHandout #8
Consider the following questions individually:
The dangers of giving marks, levels, rewards, and rankings
What are the implications of this for your practice? What would happen if you stopped giving marks
or levels on your pupils’ work? Why are so many teachers resistant to making
this change?
Discuss in your table groups.
![Page 87: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/87.jpg)
Activity G Consider the Effects of Feedback on Student
LearningHandout #8
Consider the following questions individually:
The advantages of giving clear, specific, content-focused feedback
What are the implications of this for your practice?
Does this kind of feedback necessarily take much longer to give?
Discuss in your table groups.
![Page 88: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/88.jpg)
Activity G Consider the Effects of Feedback on Student
Learning Research shows that students benefit
most from feedback that: Focuses on the task, not on grades or scores Is detailed rather than general Explains why something is right or wrong Is related to objectives Makes clear what has been achieved and
what has not Suggests what the student may do next Offers specific strategies for improvement How could you involve students in improving
your assessment practices?
![Page 89: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/89.jpg)
MAP Mathematics Assessment
Project
![Page 90: SVMI Network Meeting April 10, 2013. Assessing and Using Prior Learning to Adapt Teaching to the Needs of Students Network Meeting, April 10, 2013 Silicon](https://reader036.vdocuments.net/reader036/viewer/2022062511/5514bd2c55034640138b56b7/html5/thumbnails/90.jpg)
Lunch