



COMMSTEP SUMMER INSTITUTE 2001
Math In Context 6/7/8
Day 1 Monday, 6/18
Goals:
 Figure out who we are
 Develop an understanding of the # strand in MiC
 Understand realistic vs experientially real context of MiC
 Explore and start to think about planning a MiC unit
 Become familiar with some # tools in MiC
8:309:30 COMMSTEP welcome
9:409:50 Sponge activity from a # unit
9:5010:15 Introductions
 Presentors introduce themselves
 Participants introduce themselves to the group and share "something they are looking forward to doing this summer."
Particpants place name on grade level/district grid.
 Participants fill out COMMSTEP information sheet about themselves.
10:1510:30 Nuts and Bolts
 Different districts/grade levels/experience: plans for differentiating.
 Explain daily goals and agenda.
 Go over goals for today.
 Discuss and establish norms for the group.
10:3010:50 Launch for the week. " What is Math?", "What does it mean to be ..."
 Individual written reflection
 Share thoughts with a partner
 Chart responses to "What is Math?"
10:5011:05 BREAK
 Bathroom locations
 6th grade CMP in commons, so quiet when getting food or drink
11:0511:25 Context in MiC
 Participants construct a pie chart from a bar chart (1st activity in Fraction Times. Modify by using teacher grade level/distict instead of favorite color.)
 Discuss types of context in MiC: realistic (although maybe not familiar) and experiential.
11:2512:00 Components of a teacher's guide.
12:0012:45 LUNCH
12:451:00 Inclusion Activity: Find someone who...
1:003:10 Introduction to Number Tools: ratio tables, bar models
(Include 15 minute BREAK at approximately 2:00)
3:103:20 Pull together day.
 Return to/discuss goals.
 Be explicit about the some of the strategies we have used today.
 Assign homework:
Select two units you will be teaching next year (not Dealing with Data or Great Expectations).
List several contexts that are used for the math in each unit. Are these contexts realistic?
Will they be familiar to your students?
3:203:30 Reflections
"What do you want to get out of this Summer Institute?"
"What are some of your thoughts about today?"
Day 2 Tuesday, 6/19
Goals:
 Explore how student understanding and strategies evolve
 Become familiar with some algebra units in MiC
 Apply knowledge of number tools
 Understand how individual mentor meetings might look
8:308:45 Reflection return
 Display venn diagram summary of participant responses to "What do you want to get out of this Summer Institute"?
 Talk about common themes in Monday's reflections.
8:459:00 Portfolios
 Distribute and put together COMMSTEP portfolio.
 Discuss role portfolio can play in professional development.
 Put returned reflection sheet in portfolio.
9:0010:00 Introduction to algebra:
Building Formulas: Section A, Beams (pp1013)
 Model teaching.
 group work
 small posters and presentations
 teacher decisions about pacing and compacting based on knowledge of section and observation of participants as they work.
 Discuss math.
 recursive and direct formulas
 generalizing from a pattern
 relate parts of equation to ways participants built beam models
 equivalent equations
10:0010:15 BREAK
10:1510:20 Units in MiC
Overhead/handout of table of 40 units.
 color codes for 4 years
 color codes for 4 strands
 units that are common to Brighton and Harrison districts
10:2010:30 Algebra in MiC
 intuitive/abstract understanding
 informal/formal strategies
 substrands: patterns and regularities, restrictions, graphing
10:3011:45 Algebra Stations to experience range of algebra across units.
 Patterns and Symbols, Section E: Snakewood
 Expressions and Formulas, Section C: Stacking Cups/Stacking Chairs
 Operations, Section D: Higher and Higher
 Graphing Equations, Section D: Stepping on a Line
11:4512:00 Share observations about algebra activities.
Discuss progressive formulization in MiC.
12:0012:45 LUNCH
12:451:10 Product Game
 Learn and play.
 Discuss role of "games".
 practice/improve "basic" skills
 different levels of students
 develop number sense
1:101:25 Share HW contexts
1:252:40 Number Tools: Double Number Lines
 Per Sense Parking Lots: Student Activity sheets 4,5,6,7
 Number Tools Vol 1, (Shoveling Sidewalks, p148 & School Plays, p198)
(include BREAK)
2:403:00 Mentor Meetings
 model individual postobservation conference
 discuss individual, grade level, departmnt meetings
3:003:10 Discuss WU
3:103:20 MiC and Colorado math standards
Homework: Work on all the assessments from Dealing With Data or Great Expectations.
Reflection: "As you think about next year, what are you excited about? What are you concerned about?"
"What are some other thoughts from today?"
"What are some things that you want to remember for the fall?"
Day 3 Wednesday, 6/20
Goals: To gain knowledge about, and a comfort level with, one complete MiC unit.
8:308:40 Greetings and warm up problem
8:408:50 Reflection return and summary
8:5012:00 Participants choose to work on either Dealing with Data or Great Expectations with facilitator.
 work through whole unit
 "based on assessments (HW) what do think is the important math?"
 Section A to assess student knowledge coming into unit and to give students shared knowledge
 teachers as learners of math
 teachers as planners and teachers
 using summary and "about the mathematics" to focus on key math in section
 discuss use of vocabulary
 pacing
 model and discuss different grouping options
 use and discuss different presentation and summary options
12:0012:45 LUNCH
12:452:55 Continue to work on Great Expectations or Dealing with Data
(Include BREAK.)
2:553:10 Whole group discussion on learning about MiC today.
3:103:20 Presentation/discussion of warmup problem.
3:203:30 Reflections
 "What are some general thoughts about today/things you want to remember?"
 "What is something new you learned, or thought, about statistics today?"
Homework: Read "Addressing Parent's Concerns Over Curriculum Reform", Meyer, Delagardelle, Middleton.
Day 4 Thursday, 6/21
Goals:
 Begin the planning of a unit of your choice
 Share implementation concerns with district administrators
8:308:50 Complete debriefing of unit from yesterday.
8:509:00 Introduce common planning sheet for sharing each section with others.
 key or essential math in each section
 problems that support learning that math
 assessment items for that math
 clusters of problems/natural breaks between problems
 possible homework problems
 other comments and observations
9:0012:00 Work on planning unit of choice (preferably with other people).
(Include BREAK.)
12:0012:45 LUNCH
12:451:45 Teachers work in school groups to determine concerns to discuss with administrators.
1:452:00 BREAK
2:003:15 Teachers meet with administrators, discuss concerns and prepare an action plan (concerns, possible solutions, time line).
3:153:30 Reflections
Day 5 Friday, 6/22
Goals:
 Complete and be prepared to share plans for at least 1 MiC unit
 Organize plans for 200102 school year
8:309:00 Warm up problems from number strand.
9:009:20 Discuss one issue from Issues Chart.
9:2011:30 Complete plan sheets for unit from yesterday. Have ready to copy.
(Include BREAK.)
11:3012:00 Discuss second issue from Issues Chart.
12:0012:45 LUNCH
12:4512:55 Participants choose units for which they would like copies of the planning sheets.
12:551:20 Factor game.
 Learn and play.
 Discuss math students need and practice.
1:203:05 Split into 2 groups (6th and 7th/8th). (Include BREAK.)
6th grade:
 Overview of a 7th grade number unit.
 Focus on what knowledge and habits students should take from 6th to 7th grade.
7th and 8th grades:
 Plan pacing for next year (use district calendars and Elaine's planner)
 Return to/discuss "What is math? What does it mean..."
 Write goals for next year
3:053:30 Share parting thoughts and reflections.
Day 6 Monday, 6/25
Goals:
 Establish/reestablish a MiC network
 Learn about the range of MiC experiences in varied schools
 Understand how arrow language can be used to facilitate the learning of mathematics
 Become familiar with geometry strand units used in our districts
8:309:00 COMMSTEP welcome
9:009:20 Introductions
 Presenters introduce themselves.
 Participants share something about themselves with partner.
 Participants introduce, and share something about, partner to whole group.
 New participants add names to grade level/district grid.
 Introduce Alli (alligator sponge to be measured throughout week).
9:209:35 Nuts and Bolts
 Different districts/grade levels/year with COMMSTEP: explain plan for whole group vs breakout times.
 Go over goals for today.
 Discuss and revisit norms for the group.
9:3510:05 Share challenges and successes using MiC during the past year.
 with table group
 with whole group
10:0510:20 BREAK
10:2010:40 "What is Math?", "What does it mean to be..."
 individual written reflection (new, or reread and add)
 definitions on OH and discuss
10:4012:00 Arrow Language
 Do initial addition problem in head/discuss strategies.
 Who used arrow languge with MiC last year?
 Look at ways to use arrow language.
 breaking apart numbers (Number Tools, v2, p8, "Different Ways")
 inverse operations (# Tools, v2, p14, "Going Backwards")
 proportional reasoning (#Tools, v2, p16, "The Deli")
 informal equations (problems from Expressions and Formulas and Building Formulas)
 Discuss role of number tools (arrow language, ratio tables, bar models )in MiC.
12:0012:45 LUNCH
12:451:10 Calculator activity (# Tools, v1, p120, "The Goal Game")
discuss "games" in the classroom
1:102:55 Geometry Stations to experience range of geometry across units
(Include 15 minute BREAK at approximately 2:00)
 Reallotment, Section B: Theme Park
 Looking at an Angle, Section D: From Glide Ratio to Tangent
 Ways to Go, Section B: Fly Rocky Airlines
 Triangles and Beyond, Section G: Rotating Triangles
 Going the Distance, Section C: Pythagoras
 Triangles and Patchwork, Section D: Point to Point
2:553:10 Whole group sharing of observations/thoughts about geometry activities.
3:103:20 Pull together day.
 Measure Alli.
 Return to goals for day.
 Homework: Selected reading from "PSSM: An Overview".
3:203:30 Reflections
 Complete "At the end of this week, I would like to walk away with____________."
 General thoughts about today (use prompts at top of page), ah ha's, wonderings...
Day 7 (2 for Cohort 2) Tuesday, 6/26
Goals:
 To gain common knowledge about one unit taught in your school district
 To expand knowledge of teaching, planning and pacing strategies
8:308:50
 warm up problem
 predict/measure/record Alli length
 goals and agenda for day
 reflection return and summary
8:509:15 Share/discuss HW readings from "PSSM: An Overview"
9:153:15 Participants choose to work on Packages and Polygons or Ways to Go with facilitator. Focus on teachers as learners of math.
owork through whole unit
 do some unit assessment problems
 based on assessments predict the important math?
 Section A to assess student knowledge coming into unit and to give students shared knowledge
 discuss planning and teaching
 ways to focus on key math in section
 discuss use of vocabulary
 pacing
3:153:30 Reflections
"What did you learn today?"
Homework: Choose a unit that you would like to work through tomorrow. Do the unit assessment activities.
Day 8 (3 for Cohort 2) Wednesday, 6/27
Goals:
 To gain the knowledge to effectively teach a new unit next year
 To consider what section of a MiC unit to share with the class on Friday
8:308:40 Alli
 data from recorders for day
 role of Alli type ongoing activity in classroom
8:409:00 Sponge activity and discussion
 roll 2 dice to remove markers from 212 spots
 Colorado probability standards and MiC
 use of sponge problems to fill curriculum or knowledge gaps
9:009:15 Reflections on Reflections
9:159:25 Criteria for Friday presentations
 15 minutes
 involve audience
 specify whether part of introduction or exploration or summary
9:2512:00 Work on unit of choice with peers
(include BREAK)
 Gain familiarity with content and flow of unit.
 Use common planning sheet for sharing each section with others.
 key or essential math in each section
 problems that support learning that math
 assessment items for that math
 clusters of problems/natural breaks between problems
 possible homework problems
 other comments and observations
12:0012:45 LUNCH
12:451:10 The Plus and Minus Game (#Tools, v1, p74)
 Play game.
 Participants suggest ways to modify and extend.
 Discuss number sense and students.
1:103:15 Continue to work on unit of choice.
(Include BREAK)
3:153:30 Reflections
 "What are some decisions you made/thoughts you had while preparing your unit?"
 "What do you want to be sure the group discusses this week?"
Homework: Read "Four TeacherFriendly Postulates for Thriving in a Sea of Change"
Mathematics Teacher, September, 1994, National Council of Teachers of Mathematics.
Day 9 (4 for Cohort 2) Thursday, 6/28
Goals:
 To pull together details of teaching one unit
 To develop "big picture" overview of next year
 To set personal goals for next year
8:309:00
 Alli data
 warm up problem (area problem from Reallotment)
 feedback on reflections
 discussion of homework article
9:009:15 Using sentence stems with classroom writing (examples and discussion).
9:1511:45 Work on unit of choice or Friday presentation.
(Include BREAK)
11:3011:45 MiC and Colorado math standards. (Cohort 2 only)
11:4512:00 Share data on MiC and student achievement.
12:0012:45 LUNCH
12:451:05 Calculator activity (#Tools, v1, p112, "Calculator Puzzles")
 place value concept
 variety of strategies used
1:051:15 Ways to represent "6".
1:152:15 Complete unit work or work on Friday presentation.
2:153:20 Looking ahead...
 2001/02 calendar
 goal setting (use sentence stems)
 web sites/email addresses
3:203:30 Reflections
Respond to two prompts at top of sheet.
Homework: ENC handouts
Day 10 (5 for Cohort 2) Friday, 6/29
Goals:
 Add to "bag of teaching ideas"
 Become familiar with more MiC activities and approaches
 Develop one or more personal goals for 2001/02 year
8:308:45
 warm up problem
 final look at Allioverview of growth during the week
8:459:00 Share homework readings from ENC issues.
9:002:45 Teacher presentations to group.
2:453:30 Wrap Up
 share thoughts about week(s)
 personal goal and partner to inquire about it later in year
 certificates, credit information etc.
 final reflection

