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DEVELOPING MATHEMATICAL PRACTICES FOR AP CALCULUS GVSU MATH IN ACTION 02/24/2017 AMANDA (MANDY) FORSLUND [email protected]

DEVELOPING MATHEMATICAL PRACTICES FOR AP CALCULUS€¦ · (e.g., utilize information from a table of values), construct one representational form from another (e.g., a table from

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Page 1: DEVELOPING MATHEMATICAL PRACTICES FOR AP CALCULUS€¦ · (e.g., utilize information from a table of values), construct one representational form from another (e.g., a table from

DEVELOPING MATHEMATICAL PRACTICES FOR AP CALCULUS

GVSU MATH IN ACTION

02/24/2017

AMANDA (MANDY) FORSLUND

[email protected]

Page 2: DEVELOPING MATHEMATICAL PRACTICES FOR AP CALCULUS€¦ · (e.g., utilize information from a table of values), construct one representational form from another (e.g., a table from

OUR GOALS TODAY

• EXPERIENCE TEACHING STRATEGIES TO DEVELOP THE MPACS IN STUDENTS

• USE TWO FREE RESPONSE QUESTIONS FROM THE 2016 AP TEST AND

• DISCUSS HOW COLLEGE BOARD’S RUBRICS PROMOTE THE MPACS

Page 3: DEVELOPING MATHEMATICAL PRACTICES FOR AP CALCULUS€¦ · (e.g., utilize information from a table of values), construct one representational form from another (e.g., a table from

MATHEMATICAL PRACTICES FOR AP CALCULUS

• MPAC 1: REASONING WITH DEFINITIONS AND THEOREMS

• MPAC 2: CONNECTING CONCEPTS

• MPAC 3: IMPLEMENTING ALGEBRAIC/COMPUTATIONAL PROCESSES

• MPAC 4: CONNECTING MULTIPLE REPRESENTATIONS

• MPAC 5: BUILDING NOTATIONAL FLUENCY

• MPAC 6: COMMUNICATING• MOST HAVE A TECHNOLOGY COMPONENT• EMPHASIS ON THE PRACTICE OF “DOING” MATHEMATICS• INTENDED TO HELP GUIDE TEACHERS TO WHAT PRACTICES ARE ESSENTIAL FOR DEVELOPING CONCEPTUAL

UNDERSTANDING IN CALCULUS

Page 4: DEVELOPING MATHEMATICAL PRACTICES FOR AP CALCULUS€¦ · (e.g., utilize information from a table of values), construct one representational form from another (e.g., a table from

(STUDENT ENGAGEMENT STRATEGY #1)

VISIBLE THINKING

WHAT DO YOU OBSERVE?

WHAT DO YOU THINK?

WHAT DO YOU WONDER?

Page 5: DEVELOPING MATHEMATICAL PRACTICES FOR AP CALCULUS€¦ · (e.g., utilize information from a table of values), construct one representational form from another (e.g., a table from

SCORING EXPOSURE(STUDENT ENGAGEMENT STRATEGY #2)

AP CALCULUS AB/BC 1

Page 6: DEVELOPING MATHEMATICAL PRACTICES FOR AP CALCULUS€¦ · (e.g., utilize information from a table of values), construct one representational form from another (e.g., a table from

SPEED DATING(STUDENT ENGAGEMENT STRATEGY #3)

AP CALCULUS AB/BC 3

Page 7: DEVELOPING MATHEMATICAL PRACTICES FOR AP CALCULUS€¦ · (e.g., utilize information from a table of values), construct one representational form from another (e.g., a table from

NEXT STEPS…

• MORE IDEAS TO ENGAGE STUDENTS IN AP QUESTIONS?

• OTHER STRATEGIES TO PROMOTE MATH PRACTICES?

Page 8: DEVELOPING MATHEMATICAL PRACTICES FOR AP CALCULUS€¦ · (e.g., utilize information from a table of values), construct one representational form from another (e.g., a table from

AP Calculus AB/BC Course Description and Exam Description © 2015 The College Board

Page 9: DEVELOPING MATHEMATICAL PRACTICES FOR AP CALCULUS€¦ · (e.g., utilize information from a table of values), construct one representational form from another (e.g., a table from

Page 10: DEVELOPING MATHEMATICAL PRACTICES FOR AP CALCULUS€¦ · (e.g., utilize information from a table of values), construct one representational form from another (e.g., a table from

Page 11: DEVELOPING MATHEMATICAL PRACTICES FOR AP CALCULUS€¦ · (e.g., utilize information from a table of values), construct one representational form from another (e.g., a table from

Page 12: DEVELOPING MATHEMATICAL PRACTICES FOR AP CALCULUS€¦ · (e.g., utilize information from a table of values), construct one representational form from another (e.g., a table from

Page 13: DEVELOPING MATHEMATICAL PRACTICES FOR AP CALCULUS€¦ · (e.g., utilize information from a table of values), construct one representational form from another (e.g., a table from

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