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JACOB MARTENS
M A T H C O O R D I N A T O R
Assessment & Math
I came expecting…
steenjones.blogspot.ca ( 2012/09)
Hopes & Fears
I hope you:
 leave with more than you expected
 have helpful conversations with your colleagues
I fear that:
 there is nothing new for you in what is shared
 there was either too much or too little detail
Guiding Principles for Change
“If you are going to start doing something new,
you need to stop doing something old.”
Faye Brownlie
“Change should be good for students,
and manageable for teachers.”
Damien Cooper
Most things are good for kids
John Hattie – Visible Learning (2008)
Agenda
 Formative Assessment Review
 Assessment Strategies
 Questions we ask ourselves
 Questions we ask students
 Five ways of representing learning
 Gr 3 Addition
 Gr 6 Fractions
Assessment
Formative Assessment Is…..
On your 11x17 paper complete the following stem:
Formative Assessment is…
Post-it Note Math
https://www.youtube.com/watch?v=usJnehrXInc
Post-it Note Math Video
How was formative assessment demonstrated by the
classroom in the video?
Do 5 “pen high fives” and share what you’ve written
with the fifth person.
Repeat.
Formative Assessment
from Embedded Formative Assessment (2011)
using “evidence” to make informed “decisions”
using “evidence” to make informed “decisions”
using “evidence” to make informed “decisions”
using “evidence” to make informed “decisions”
© repairtrust.com
Formative Assessment
using “evidence” to make informed “decisions”
“An assessment functions formatively to the extent that
evidence about student achievement is elicited, interpreted,
and used by teachers, learners, or their peers to make
decisions about the next steps in instruction that are likely to
be better, or better founded, than the decisions they would
have made in the absence of that evidence.”
Wiliam (2011)
Feedback
“The most powerful single influence enhancing
achievement is feedback” – Dylan Wiliam
 Quality feedback is needed, not just more feedback
 Students with a Growth Mindset welcome
feedback and are more likely to use it to improve
their performance
 Oral feedback is much more effective than written
 The most powerful feedback is provided from the
student to the teacher.
from Faye Brownlie
Reading Break
Article “Assessment” by Dylan Wiliam
Read the article and highlight 2-3 items
that catch your attention.
First Turn Last Turn
Determine who will initiate the sharing.
The initiator takes the First Turn and reads a highlighted item
but DOES NOT ELABORATE.
Moving around the circle, each group member comments on the
shared item. Cross-talk is NOT permitted.
Finally the rotation returns to the initiator, who gets the Last
Turn, sharing his or her thinking about the the highlighted item.
Repeat with a new initiator.
How Our Culture Views Math
Evidence of Learning in Math
How to Assess
Defined by Function not Form
The Power of Observation
“questions we ask ourselves”
There is a Book for That
Tell me more…
Questions that check for understanding
 Questions to Prompt (BCAMT)
 The Art of Questioning in Mathematics (NCTM)
Questioning Exercise
Your topic is FRACTIONS
You need to form groups of three.
1. One person will be the student.
2. Another person will be the teachers.
3. The third person will be the recorder.
Five Ways of Representing
Drawing
© Carole Fullerton
Numbers
Words Real life
connections
Concretely
(with manipulatives)
Grade 3 Math
Adding Left to Right
© Carole Fullerton
Spin it! A game of chance
© Carole Fullerton
Plot it! The Sum Game
The Bigger Sum Game
© Carole Fullerton
Cuisenaire Rods
Feedback
Please provide feedback by adding the following to
your cue card:
 I got…
 Advice:
 Next steps:
Thank You

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Assessment & Math - Ladner Nov 27 2015

  • 1. JACOB MARTENS M A T H C O O R D I N A T O R Assessment & Math
  • 3. Hopes & Fears I hope you:  leave with more than you expected  have helpful conversations with your colleagues I fear that:  there is nothing new for you in what is shared  there was either too much or too little detail
  • 4. Guiding Principles for Change “If you are going to start doing something new, you need to stop doing something old.” Faye Brownlie “Change should be good for students, and manageable for teachers.” Damien Cooper
  • 5. Most things are good for kids John Hattie – Visible Learning (2008)
  • 6. Agenda  Formative Assessment Review  Assessment Strategies  Questions we ask ourselves  Questions we ask students  Five ways of representing learning  Gr 3 Addition  Gr 6 Fractions
  • 8. Formative Assessment Is….. On your 11x17 paper complete the following stem: Formative Assessment is…
  • 10. Post-it Note Math Video How was formative assessment demonstrated by the classroom in the video? Do 5 “pen high fives” and share what you’ve written with the fifth person. Repeat.
  • 11. Formative Assessment from Embedded Formative Assessment (2011) using “evidence” to make informed “decisions”
  • 12. using “evidence” to make informed “decisions”
  • 13. using “evidence” to make informed “decisions”
  • 14. using “evidence” to make informed “decisions” © repairtrust.com
  • 15. Formative Assessment using “evidence” to make informed “decisions” “An assessment functions formatively to the extent that evidence about student achievement is elicited, interpreted, and used by teachers, learners, or their peers to make decisions about the next steps in instruction that are likely to be better, or better founded, than the decisions they would have made in the absence of that evidence.” Wiliam (2011)
  • 16. Feedback “The most powerful single influence enhancing achievement is feedback” – Dylan Wiliam  Quality feedback is needed, not just more feedback  Students with a Growth Mindset welcome feedback and are more likely to use it to improve their performance  Oral feedback is much more effective than written  The most powerful feedback is provided from the student to the teacher. from Faye Brownlie
  • 17. Reading Break Article “Assessment” by Dylan Wiliam Read the article and highlight 2-3 items that catch your attention.
  • 18. First Turn Last Turn Determine who will initiate the sharing. The initiator takes the First Turn and reads a highlighted item but DOES NOT ELABORATE. Moving around the circle, each group member comments on the shared item. Cross-talk is NOT permitted. Finally the rotation returns to the initiator, who gets the Last Turn, sharing his or her thinking about the the highlighted item. Repeat with a new initiator.
  • 19. How Our Culture Views Math
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  • 26. How to Assess Defined by Function not Form
  • 27. The Power of Observation “questions we ask ourselves” There is a Book for That
  • 28. Tell me more… Questions that check for understanding  Questions to Prompt (BCAMT)  The Art of Questioning in Mathematics (NCTM)
  • 29. Questioning Exercise Your topic is FRACTIONS You need to form groups of three. 1. One person will be the student. 2. Another person will be the teachers. 3. The third person will be the recorder.
  • 30. Five Ways of Representing Drawing © Carole Fullerton Numbers Words Real life connections Concretely (with manipulatives)
  • 32. Adding Left to Right © Carole Fullerton
  • 33. Spin it! A game of chance © Carole Fullerton
  • 34. Plot it! The Sum Game
  • 35. The Bigger Sum Game © Carole Fullerton
  • 37. Feedback Please provide feedback by adding the following to your cue card:  I got…  Advice:  Next steps:

Editor's Notes

  1. Record on front of cue cards
  2. Remember – we want to be strategic about our change. Positive Deviance
  3. See Wiliam’s Embedded Formative Assessment Add examples of simple cases  rainy window, low fuel, leaking pipe + non-action examples
  4. Rain on Window
  5. Writing Sample
  6. Empty Fuel Gauge
  7. USE by teachers and/or USE by students
  8. Tell me more about what you know so far? Eyeball to eyeball. Every child every day.
  9. “The emphasis on decisions as being at the heart of formative assessment also assists with the design of the assessment process.” Consider “decision-pull” – focus on decision that needs to be made and then look for relevant evidence.
  10. Symbolic Drawing Words Connections / Real life Concretely