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Differentiation Math Instruction through a Centers/Guided Math Approach Debbie Leslie and Denise Porter Center for Elementary Mathematics and Science Education University of Chicago Just s so y you kno know We will use content examples


  1. Differentiation Math Instruction through a Centers/Guided Math Approach Debbie Leslie and Denise Porter Center for Elementary Mathematics and Science Education University of Chicago

  2. Just s so y you kno know… We will use content examples that are most relevant for Grades PreK through 2 during the session (number sense)

  3. Getting Started

  4. Getting Started: Guided Math: Brainstorm some benefits and some challenges.

  5. A math workshop model helps you use a range of grouping structures intentionally and flexibly to address your instructional goals.

  6. Discuss the benefits and challenges with a partner or small group.

  7. Mini ni-L -Lesson n

  8. Some me B Bene nefits — Provides structures for differentiation — New instruction — Review and practice — Helps children “find their voices” during math time — Promotes student independence and ownership of their own learning — Can help with pacing/time usage — Teachers often improve their own practice through more deliberate planning and intentional implementation — Others?

  9. Some me C Cha halle lleng nges — Too many kids; too many/few groups; problematic kid combinations — Too little time — Matching activities to grouping format (not everything works in a small group – especially with no teacher) — Logistics (materials, transitions, space, etc.) — Accountability (how do I make sure they do what they are supposed to at the Centers?) — Assessment Challenges (how can I assess them if I’m not with them?) — What to do when you have completed the center? — Others?

  10. One ne P Possible le “ “Gu Guided M Math” h” Lesson S n Structure — Getting Started (individual, then partner/small group) — provide access/promote engagement/involve everyone — Mini Lesson (whole group) — give everyone access to rich, rigorous core content — Small-Group Work (small groups, often leveled) — plan for tasks that provide differentiated instruction and practice, targeted to students’ levels and needs — plan for varied tasks (e.g., not all paper-and-pencil; not all high-activity, materials-heavy games) — plan for tasks that are well-suited to productive work in the absence of a teacher — plan for enough time (but not too much) and enough groups (but not too many) — plan for accountability (and assessment, when warranted) — Closure (format may vary)

  11. A math workshop model helps you use a range of grouping structures intentionally and flexibly to address your instructional goals.

  12. Sample Planning Template ,GHI=J' !! 2KL!I=J !! MLIHL!I=J !! 2NKO!I=J !! POQI=J !! (&--*01'!-"4-&+'' (&--*01'!-"4-&+' ! (&--*01'!-"4-&+' ! (&--*01'!-"4-&+' ! (&--*01'!-"4-&+' ! ! ! ,*0*RS&55:0'' ,*0*RS&55:0' ! ,*0*RS&55:0' ! ,*0*RS&55:0' ! ,*0*RS&55:0' ! ! ! 3&0-&4'T'92&">.&4;' ! 3&0-&4'T'92&">.&4;' ! 3&0-&4'T'92&">.&4;' ! 3&0-&4'T'92&">.&4;' ! 3&0-&4'T'92&">.&4;' ! ! ! ! ! ' ! ! ' ! ' ! ' ' ' 3&0-&4'U'9("#&V,"0*$)%"-*7&5;' 3&0-&4'U'9("#&V,"0*$)%"-*7&5;' 3&0-&4'U'9("#&V,"0*$)%"-*7&5;' 3&0-&4'U'9("#&V,"0*$)%"-*7&5;' 3&0-&4'U'9("#&V,"0*$)%"-*7&5;' ! ! ' ! ! ! ! ! ! ! ! ! ! 3&0-&4'W'9/"$&4'"0+'/&0>*%;' 3&0-&4'W'9/"$&4'"0+'/&0>*%;' 3&0-&4'W'9/"$&4'"0+'/&0>*%;' 3&0-&4'W'9/"$&4'"0+'/&0>*%;' 3&0-&4'W'9/"$&4'"0+'/&0>*%;' ! ' ! ! ' ! ! ! ! ! ! ! ! 3&0-&45'"4&'6%&7&%&+8'961)*+&+'#"-.8'14:)$5;<'=>-*7*-*&5'"-'&">.'>&0-&4'"4&'"$$4:$4*"-&%?'+*@@&4&0-*"-&+<'' A&'5)4&'-:'$%"0'"$$4:$4*"-&B'&01"1*01'6C.&0'?:)'"4&'@*0*5.&+8'">-*7*-*&5''9$4:D&>-5B'>.:*>&E:"4+'#&0)5B'$">F&-5B'&-><;' '

  13. A Centers Board

  14. A Variation Ms. R’s Math Period Time Groupings Activities 5-10 minutes Whole group Math message 15-20 minutes Group A Teacher Center/lesson Group B Journal Pages/Math Boxes Group C Writing about Math/Games 15-20 minutes Group A Journal Pages/Math Boxes Group B Writing about Math/Games Group C Teacher Center/lesson 15-20 minutes Group A Writing about Math/Games Group B Journal Pages/Math Boxes Group C Teacher Center/lesson

  15. Ms. G’s Approach (Kindergarten) Minilesson on the rug 1. Math Work Time 2. — Math trays — Students are dismissed to choose a tray — Students choose to either work alone or with a partner — Trays are all tied to state math standards, — Students are trained to work on a tray until they have completed it, then they return the tray and select another one — For example, mid-year the teacher has 20 trays available including Roll and Record, Empty the Cup, and Measuring Lengths. — Teacher is able to spend differentiated teaching time with individuals and small groups and record ongoing assessments.

  16. Small Group/Center Work Number Sense Activities

  17. What does number sense mean to you?

  18. Number sense can be described as … “ … good intuition about numbers and their relationships. It develops gradually as a result of exploring numbers, visualizing them in a variety of contexts, and relating them in ways that are not limited by traditional algorithms.” Howden,1989, p. 11

  19. Possible le f forma mats f for Sma mall-Gr ll-Group/Cent nter W Work k — Teacher-Facilitated — Games/Manipulatives — Paper and Pencil Activities

  20. Questions ns t to C Cons nsider a and nd Di Discuss — What aspects of number sense does this activity develop? — How might these activities be tailored for kids at different levels? — How do these activities promote students’ independence and ownership over their own learning — What sorts of accountability might you build in? How might this support assessment?

  21. Clo losure

  22. Revisiting ng C Cha halle lleng nges — Too many kids; too many/few groups; problematic kid combinations — Too little time — Matching activities to grouping format (not everything works in a small group – especially with no teacher) — Logistics (materials, transitions, space, etc.) — Accountability (how do I make sure they do what they are supposed to at the Centers?) — Assessment Challenges (how can I assess them if I’m not with them?) — What to do when you have completed the center? — Others?

  23. Some me T Tips f for S Success — Start small; set and practice norms and expectations — Not necessarily every day/every lesson — Fewer groups may be better (3 or 4 may be a magic number) — Think carefully about: — Whether the activity is a good Center activity — Who’s in what group? Might partners within groups help? — What order will they rotate through the centers? — Where will they work? — Others?

  24. Differentiation Math Instruction through a Centers/Guided Math Approach Debbie Leslie and Denise Porter Center for Elementary Mathematics and Science Education University of Chicago daleslie@uchicago.edu porterd@uchicago.edu

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