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             Reflective Practice
                   Day One        Journaling in Mathematics
A math journal is one of the best ways to introduce writing into your math class. It helps students stretch their thinking and make sense of problems. When children write in their math journals, they examine, express and keep track of their reasoning. Why Use Math Journals?
Help students become aware of what they do and do not know.   ,[object Object]
Give the student a chance to reflect on what is known.
Allow the student to construct mathematics for him or herself.Help teachers answer specific questions. ,[object Object]
Does the student use communication skills effectively? 
Does the student use appropriate mathematical language? Writing Should:
   Writing about your thinking is challenging.  It is best to start with familiar open-ended prompts such as: I see... I think... This reminds me of... Where to Begin…
I see…    I think…   I remember when…
Grade One- 3D Solids
       Create the Experience
Kindergarten- Linear Measurement                             Reflection
Right now I feel… Write a question that looms large in your mind right now. One thing I would like to accomplish today is… Your Turn… Choose one of the following to write about in your journal.
Journals as an Entry SlipRepresenting on a Thinking Sheet
Representation
1. What does choice offer for students? 2. How does the thinking sheet help students? Teachers? 3. Do you think that it is important to have rubric on the thinking sheet? Why or why not? 4. How can a picture bring on so much discussion? 5. What formal math language was used? Math notation? 6. What could you do in your lesson if this was just an opening ? After watching the video:
Grade 4-Fractions
Joseph and Justina noticed there were chickens and goats running around the hills behind their house. Joseph said, “There are 18 animals.” Justina said, “ Yes, and they have 52 legs in all.” How many of each animal were there? Goat Chicken
What was going through your mind when you solved the problem?      (to reveal the reasoning process) What was interesting? (to see their curiosity) What helped you find the solution? (to articulate strategic thinking, to find   patterns, to acknowledge the thinking of others) What are you wondering? ( to inspire further investigations, to perceive inquiry   as an ongoing process) Your turn…
Strategy Questions for an Oral Journal

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Journaling in mathematics math summer institute 2011

  • 1. Reflective Practice
  • 2. Day One Journaling in Mathematics
  • 3. A math journal is one of the best ways to introduce writing into your math class. It helps students stretch their thinking and make sense of problems. When children write in their math journals, they examine, express and keep track of their reasoning. Why Use Math Journals?
  • 4.
  • 5. Give the student a chance to reflect on what is known.
  • 6.
  • 7. Does the student use communication skills effectively? 
  • 8. Does the student use appropriate mathematical language? Writing Should:
  • 9. Writing about your thinking is challenging. It is best to start with familiar open-ended prompts such as: I see... I think... This reminds me of... Where to Begin…
  • 10. I see… I think… I remember when…
  • 11. Grade One- 3D Solids
  • 12. Create the Experience
  • 14. Right now I feel… Write a question that looms large in your mind right now. One thing I would like to accomplish today is… Your Turn… Choose one of the following to write about in your journal.
  • 15. Journals as an Entry SlipRepresenting on a Thinking Sheet
  • 17. 1. What does choice offer for students? 2. How does the thinking sheet help students? Teachers? 3. Do you think that it is important to have rubric on the thinking sheet? Why or why not? 4. How can a picture bring on so much discussion? 5. What formal math language was used? Math notation? 6. What could you do in your lesson if this was just an opening ? After watching the video:
  • 19. Joseph and Justina noticed there were chickens and goats running around the hills behind their house. Joseph said, “There are 18 animals.” Justina said, “ Yes, and they have 52 legs in all.” How many of each animal were there? Goat Chicken
  • 20. What was going through your mind when you solved the problem? (to reveal the reasoning process) What was interesting? (to see their curiosity) What helped you find the solution? (to articulate strategic thinking, to find patterns, to acknowledge the thinking of others) What are you wondering? ( to inspire further investigations, to perceive inquiry as an ongoing process) Your turn…
  • 21.
  • 22. Strategy Questions for an Oral Journal
  • 23. Organization of Math Journals There are many ways to organize math journals and math writing. You must decide what would be best for you and the students in your class.
  • 24. A Journal Entry to Sum Up Your Day You have been asked by a friend to make a representation to highlight your DayOneof Math Summer Institute.
  • 25. Day Two: Reflective Writing
  • 26. The basic steps to think pair share -question “ How has…” ------------------------- -think -pair -share Think-Pair-Share*Insert a photo*
  • 27. Once students are comfortable with the Think-Pair-Share strategy, introduce Think-Write-Pair-Share strategy. As the students think about the question they also write their response in a variety of techniques such as webbing, pictures, numbers, and words. Think-Write-Pair-Share
  • 28. I see…I think…This reminds me of…
  • 29. On your table you will find a sheet with 6 pictures. One person will choose a picture from the container. Using the sentence starters, talk about your pictures using proper math language. Your partners will use this information to guess which picture you are describing. Take turns until all photos are used. Your turn… MATH TALK JOURNALS

Notas do Editor

  1. Introductions and Myths will come firstJournaling day OneAsk permission to take video and photos throughout the day.
  2. This slide will begin after the ice breaker- myths
  3. Summarize
  4. This slide will stay in the handouts but be hidden on the slide show.Students are expected to communicate their mathematical understandings in a variety of ways. The more flexible students are in using a variety of representations to explain and work with the mathematics being learned the deeper student’s understanding becomes. Communication is one of the seven processes inherit in the teaching, learning and doing math.
  5. Just show picture of experiences.
  6. Students communicate about experiences. 30 sec video
  7. 30 sec video
  8. Journals can be used as an entrance slip to assess learning to date. Drives instruction for the day’s new lesson.
  9. Thinking Sheet
  10. Another example of an entrance slip to assess student understanding.* Do we need to continue with representations of fractions?
  11. Set- up before chickens and hens problem
  12. Oral journal to verbalize their understanding of problem solving strategies.
  13. Set up with steps to problem solvingPolya’s Problem solving Steps*Understand the problem*Develop a plan*Carry out the problem*Look backProblem Solving Strategy B&W strategy posters.Darla will display a board with the steps.How many different ways can you solve the problem?Solve in one way and then another!Refer to the posters as well the hand-out for a written journal.
  14. Refer to Ublisher (online virtual notebook).
  15. Participants will strive for representing their summation or highlighted moment of day on in more than one way.Use the document camera to share one or two representations.
  16. Insert a picture of a highlighted moment from day one.“ How has…. Helped you to better understand …?”Think Pair Share
  17. Maybe take this out
  18. Do we need this?Final Journal for day 2???