nate franz supervisor of mathematics december 17, 2013 mathematics leadership academy

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Nate Franz Supervisor of Mathematics December 17, 2013 Mathematics Leadership Academy

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Promoting Understanding 3 DimensionsCore Features Nature of Classroom Tasks Make mathematics problematic Connect with where students are Leave behind something of mathematical value Role of the Teacher Select Tasks with goals in mind Share essential information Establish classroom culture Social Culture of the Classroom Ideas and methods are valued Students choose and share their methods Mistakes are learning sites for everyone Correctness resides in mathematical argument Mathematical Tools as Learning Supports Meaning for tools must be constructed by each user Used with purpose – to solve problems Used for recording, communicating, and thinking Equity and Accessibility Tasks are accessible to all students Every student is heard Every student contributes These are the wing shape and color in mathematics!

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Page 1: Nate Franz Supervisor of Mathematics December 17, 2013 Mathematics Leadership Academy

Nate FranzSuperv isor of Mathematics

December 17, 2013

Mathematics Leadership Academy

Page 2: Nate Franz Supervisor of Mathematics December 17, 2013 Mathematics Leadership Academy

First Draft Final Draft

Back to Austin2

Targeted and specific

feedback on wing

shape and color.

Page 3: Nate Franz Supervisor of Mathematics December 17, 2013 Mathematics Leadership Academy

Promoting Understanding3

Dimensions Core Features

Nature of Classroom TasksMake mathematics problematicConnect with where students areLeave behind something of mathematical value

Role of the TeacherSelect Tasks with goals in mindShare essential informationEstablish classroom culture

Social Culture of the Classroom

Ideas and methods are valuedStudents choose and share their methodsMistakes are learning sites for everyoneCorrectness resides in mathematical argument

Mathematical Tools as Learning Supports

Meaning for tools must be constructed by each userUsed with purpose – to solve problemsUsed for recording, communicating, and thinking

Equity and AccessibilityTasks are accessible to all studentsEvery student is heardEvery student contributes

These are the wing

shape and color in

mathematics!

Page 4: Nate Franz Supervisor of Mathematics December 17, 2013 Mathematics Leadership Academy

Example from Last Month

Read through the feedback statement.

What feedback components do you recognize from our time together last month?If this team came to you looking for revisions, what would you suggest?

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recognition statement

identify an issue

suggested solution

Page 5: Nate Franz Supervisor of Mathematics December 17, 2013 Mathematics Leadership Academy

Feedback Statements

Recognition StatementIdentification of IssueState a Suggested Solution

All rooted in dimensions and core features, evidence-based, and student focused.

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Page 6: Nate Franz Supervisor of Mathematics December 17, 2013 Mathematics Leadership Academy

Clever Hans

How do we create Clever Hanses in our classrooms?

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Page 7: Nate Franz Supervisor of Mathematics December 17, 2013 Mathematics Leadership Academy

Work the Task7

Mom makes small apple tarts, using three-quarters of an apple for each small tart. She

has 20 apples. How many small apple tarts can she make?

Page 8: Nate Franz Supervisor of Mathematics December 17, 2013 Mathematics Leadership Academy

Nature of Classroom Tasks

Evaluate the task based on the Mathematical Task Framework and the Dimensions and Core Features that Promote Understanding.

What features of the task allow connections?What mathematical value is inherent in the task?

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Mom makes small apple tarts, using three-quarters of an apple for each small tart. She

has 20 apples. How many small apple tarts can she make?

Page 9: Nate Franz Supervisor of Mathematics December 17, 2013 Mathematics Leadership Academy

Role of the Teacher and Social Culture

Read the transcript of the students solving the “apple tart problem”. As you read, consider the Dimensions and Core Features.

What is the role of the teacher during this learning session? What are two things we can learn from Ms. Lombard?

What can you infer about the social culture of the classroom?

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Page 10: Nate Franz Supervisor of Mathematics December 17, 2013 Mathematics Leadership Academy

Role of the Teacher

Selecting high-level taskAllow students to work without continual

interruption and interferenceDidn’t undermine the social culture they are

trying to build

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Page 11: Nate Franz Supervisor of Mathematics December 17, 2013 Mathematics Leadership Academy

Clever Hans

How do we create Clever Hanses in our classrooms?

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Page 12: Nate Franz Supervisor of Mathematics December 17, 2013 Mathematics Leadership Academy

Be Less Helpful12

Page 13: Nate Franz Supervisor of Mathematics December 17, 2013 Mathematics Leadership Academy

Be Less Helpful13

Page 14: Nate Franz Supervisor of Mathematics December 17, 2013 Mathematics Leadership Academy

Possible Inferences about Social Culture

Ideas and METHODS are valuedStudents choose and SHARE their methodsMISTAKES are learning sites for everyoneCorrectness resides in mathematical

ARGUEMENT

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Page 15: Nate Franz Supervisor of Mathematics December 17, 2013 Mathematics Leadership Academy

Summary of our Learning

Tasks predict performance!Give feedback that promotes understanding

The math, task, instruction, assessment Rooted in the Dimensions and Core Features

Less is more

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Page 16: Nate Franz Supervisor of Mathematics December 17, 2013 Mathematics Leadership Academy

Reflection

Based on what we’ve covered together the past four months, how can you fold our experiences

and XX into your leadership in mathematics, Instructional Rounds and PLCs?

What additional supports or assistance are still need to make this work thrive in every school

and every classroom?

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