georgia performance standards days 3 and 4: classroom implementation 8 th grade mathematics
TRANSCRIPT
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Georgia Performance Standards
Days 3 and 4: Days 3 and 4: Classroom ImplementationClassroom Implementation
88thth Grade Mathematics Grade Mathematics
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Contact InformationContact Information
Georgia Department of Education1754 Twin Towers EastAtlanta, Georgia 30334
Janet Davis [email protected]
Massie McAdoo, Ph.D. [email protected]
Peggy Pool [email protected]
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• Name Card:– First Name or Nickname
• Contact Information:– Name– System/School– E-mail Address (in place of signature)
Getting AcquaintedGetting Acquainted
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Group Norms and Group Norms and HousekeepingHousekeeping
Group Norms:• Ask questions• Work toward solutions• Honor confidentiality• Meet commitments or
let others know if you are struggling
Housekeeping:•Parking Lot
•Phone calls
•Rest rooms
•Breaks
•Lunch
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The National Council of Teachers of Mathematics Annual Conference will
be in Atlanta March 21-24, 2007.
• http://www.nctm.org/meetings/atlanta/• Member cost: $205
• Non-member cost: $281
Plan to Attend!
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GCTMGCTM
• Annual Conference at Rock Eagle: October 17-19, 2007
Apply to be a speaker and/or plan to attend!
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GCTMGCTM• Middle School Math Tournament:
April 21, 2007
• Summer Academy: June 13-15, 2007
• Annual Conference at Rock Eagle: October 17-19, 2007 Apply to be a speaker and/or plan to attend!
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Other Announcements?Other Announcements?
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Redelivery ReflectionsRedelivery Reflections
• Successes
• Questions
• Concerns
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Standards Based Education Standards Based Education ModelModel
GP
SG
PS
GP
SG
PS
(one or more)
StandardsElements
(one or more)
StandardsElements
Stage 1Identify Desired Results(Big Ideas) Enduring Understandings
Essential Questions
Skills and Knowledge
Stage 1Identify Desired Results(Big Ideas) Enduring Understandings
Essential Questions
Skills and Knowledge
All above, plusTasksStudent WorkTeacherCommentary
All above, plusTasksStudent WorkTeacherCommentary
Stage 2Determine Acceptable
Evidence(Design Balanced Assessments)
(To assess student progress toward desired results)
Stage 2Determine Acceptable
Evidence(Design Balanced Assessments)
(To assess student progress toward desired results)
Stage 3Plan Learning Experiences and
Instruction(to support student success on assessments,
leading to desired results)
Stage 3Plan Learning Experiences and
Instruction(to support student success on assessments,
leading to desired results)
All aboveAll above
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Overview of Overview of Days 3 & 4Days 3 & 4
• Describing the Standards-Based Classroom
• Facilitating the Standards-Based Classroom
• Designing Lessons to Support the Standards-Based Classroom
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Essential Question 1Essential Question 1
What does a standards-based mathematics classroom look like?
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Math Lab LessonMath Lab Lesson
• What did you hear in the news bulletin?
• Why are some of those things still regarded as controversial?
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Heartbeats
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The StandardsThe Standards
• Key content standards
• Related content standards
• Process standards
• Concepts and skills to maintain
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What did you see in What did you see in this lesson?this lesson?
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What should we see?What should we see?
• Warm-up
• Mini lesson, opening, setting the stage
• Work period, activity period
• Summary, closing
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Role of the teacher:Role of the teacher:
Plan authentic learning experiences.
Talk less, listen more.
Provide solid foundations in math to promote application of skills and knowledge.
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Role of the teacher:Role of the teacher:
Circulate through the classroom, facilitating math discussions.
Provide clarification when necessary.
Ask questions that encourage reasoning and making connections.
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Role of the teacher:Role of the teacher: Establish classroom procedures to promote effective management of small groups of differentiated learners.
Participate in ongoing assessments of all learners.
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Role of the students:Role of the students:
Work individually, in pairs, or small groups to complete a task.
Gather data, share ideas, look for patterns, make conjectures, and utilize problem-solving strategies.
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Explore mathematical relationships and make connections to real life experiences. Ask questions and look for solutions.
Role of the students:Role of the students:
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TRADITIONAL STANDARDS-BASED
What does the teacher do?What does the teacher do?
• textbook guides instruction
• spends most of the time telling – whole group
• seeks the “ONE” right answer from students
• standards and curriculum map guide instruction
• spends most of the time facilitating – small group
• asks more open-ended / application questions
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TRADITIONAL STANDARDS-BASED
What does the teacher do?What does the teacher do?
• teaches only specific procedures
• discourages student interaction/discussion• asks mostly knowledge-level questions
• encourages students to use problem solving strategies
• encourages students’ questions, explanations, and discussions
• asks more high-level questions
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TRADITIONAL STANDARDS-BASED• work alone
• focus on only getting the right answer
• practice procedures
• memorize facts for tests
• work in flexible groups or pairs• use reasoning to justify their answers and solutions
• understand and apply concepts, as well as, facts• solve problems and look for real life connections
What do the students do?What do the students do?
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TRADITIONAL STANDARDS-BASED
What do the students do?What do the students do?
• use pencil, paper, and worksheets
• show knowledge by writing down numbers
• use manipulatives, graphic organizers, and games
• show knowledge both orally and written
• one way to show an answer
• use multiple representations for solutions (pictures, models, diagrams, words, etc.
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What does a standards-What does a standards-based middle school math based middle school math
classroom look like?classroom look like? Flexible cooperative groups of children Hands-on learning experiences “Productive” noise Differentiation of processes and products is
encouraged within tasks Student works with teacher commentary are available
for student reference Multiple representations of solutions are valued Balanced approach to concepts, skills, and problem
solving
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Essential Question 2Essential Question 2
How do you facilitate the standards-based mathematics
classroom?
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Water PumpTask Time!Water PumpTask Time!
As you work this task, keep in mind what needs to be done to
• foster student involvement and cooperation in all classroom activities; and
• establish a productive working environment.
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Well Facilitated ClassroomsWell Facilitated Classrooms
Teachers must:
• foster student involvement and cooperation in all classroom activities; and
• establish a productive working environment.
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Table TalkTable Talk
What needs to be done in order to foster student involvement and cooperation in all classroom activities?
Be prepared to share.
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“It takes just as much energy to achieve positive results as it does to achieve negative results. So why waste your energy on failing when that same amount of energy…
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… can help you and your students
SUCCEEDSUCCEED.”
Harry K. Wong 1998
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“Each child is living the only life he has – the only one he will ever have. The least we can do is not diminish it.”
- Bill Page
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“Parents are sending us the best kids they have. They are not keeping the good ones at home.”
- Larry Lezotte
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RoutinesRoutines
These are things that students automatically do without the teacher needing to prompt or supervise.
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ProceduresProcedures
• These must be explained in a clear and concise manner.
• These must be rehearsed, practiced, done over and over and over again until they become routines!
• These must be reinforced by reminding the students of the expectation and experiencing it.
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“You seemingly waste a little time at the beginning to gain time at the end.”
- Lim Chye Tin
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Homework
Tonight please find and read from your participant’s guide the article from Mathematics Teaching in the Middle School April 2000 entitled Never Say Anything a Kid Can Say!.
Be prepared to share your top three points of interest tomorrow morning.
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Welcome to Day 4
Never Say Anything a Kid Can Say!
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Essential Question 3Essential Question 3
What is important when developing a lesson plan?
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What is important?What is important?• Bringing the “big ideas” to life
• A focus on learning, rather than teaching
• Helping students to understand, not just remember the understanding of others
• Incorporating a variety of different teaching strategies
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Instructional PlanningInstructional Planning
• Be extremely familiar with grade-level standards
• Lessons
–Identify standards
–Determine acceptable evidence
–Plan instruction
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Criteria for Good TasksCriteria for Good Tasks
• Involves significant mathematics
• Can be solved in a variety of ways
• Elicits a range of responses
• Requires communication
• Stimulates best performance
• Lends itself to a scoring rubric
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Making Instructional DecisionsMaking Instructional Decisions
Consider
Where are we going? Why?
What is expected?
How will we hook and
hold student interest?
How will we equip students to explore and experience?
How will we organize and sequence the
learning?
How will we tailor learning
to varied needs, interests, styles?
How will students self-evaluate and reflect on their
learning?
How will we help students rethink,
rehearse, revise, and
refine?
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Multiple RepresentationsMultiple Representations
Pictures
Tables
WordsSymbols
Graphs
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Task
Crossing the River
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Heartbeats
Staircase
Water Pump
Crossing the River
Bungee Jump
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Pick a UnitPick a Unit
• Work with a partner or a small group.
• Decide on a unit for your lesson.
• Use a task in the framework as your desired result or assessment.
• Use the four parts of a good lesson to design a lesson.
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Sharing Our LessonsSharing Our Lessons
Jigsaw Groups
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Wrapping UpWrapping Up
• What have you learned over the past two days?
• What do you need next?
• How will you redeliver this module on classroom implementation?
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Discussion of Redelivery Discussion of Redelivery Action PlanAction Plan
• Determine your goal for redelivery.
• Determine time allotted.
• Develop timeline of activities.
• List resources and ideas.
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Days of Training• Implementation Year One
– Day One: Standards, Content, and Curriculum Mapping
– Day Two: Assessment– Days Three and Four: Classroom
Implementation
• Implementation Year Two – Day Five: Differentiation– Day Six: Examining Student Work– Day Seven: On-line Survey
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AssignmentAssignment
• Bring student work for the “?? Could it be one of the three tasks from today???” task along with completed permission forms.
• Bring four copies of another task from the Eighth Grade Framework and four copies of student work for that task along with permission forms.
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Student Work SampleStudent Work Sample
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Contact InformationContact Information
Georgia Department of Education1754 Twin Towers EastAtlanta, Georgia 30334
Janet Davis [email protected]
Massie McAdoo, Ph.D. [email protected]
Peggy Pool [email protected]