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Special Topics in Content and Pedagogy for Mathematics Teachers
MAED694-601: Teaching AP Calculus (AB)
Summer 2014 3 credits
Inst
ruct
ors
Dr. Thomas Polaski
152 Bancroft Hall
803-323-4604
Ms. Suzanne Tolson
Nation Ford High School
803-835-0000
Dr. Zachary Abernathy
161 Bancroft Hall
803-323-4605
Mee
tin
g
Tim
es
Weekend I
Friday, May 30
5:00 to 7:30 pm
Saturday, May 31
9:00 am to 1:00 pm
Location TBA
Summer Session MTWR
Monday, June 23 to
Thursday, June 26
9:00 am to 5:00 pm
Location TBA
Weekend II
Friday, July 25
5:00 to 7:30 pm
Saturday, July 26
9:00 am to 1:00 pm
Location TBA
Course Materials
AP Institute Packet. (provided)
Calculus by Howard Anton, Irl Bivins, and Stephen Davis. Tenth Edition. Hoboken:
John Wiley and Sons, 2012. (provided)
Access to WileyPlus, an online course management software system accompanying the
above text. (provided)
Barron’s AP Calculus by David Bock and Shirley O. Hockett. Eleventh Edition.
Hauppage: Barron’s, 2012. (provided).
Internet access is required for WileyPlus assignments, and other readings and resources
will be made available through the Blackboard course environment.
Access to a graphing calculator for homework is advised. Calculators for technology
explorations during the course will be provided.
Access to a laptop computer is strongly recommended.
Course Goals
1. Provide an overview of the AP Calculus curriculum.
2. Strengthen content understanding.
3. Explore links to a variety of Science, Technology, Engineering, and Mathematics
(STEM) topics that could serve as motivation for future study among students.
4. Explore effective teaching strategies and technology resources.
5. Prepare a syllabus for AP Calculus (AB/BC).
6. Investigate testing expectations and strategies for success.
Course Expectations for AP Certification
1. Complete all assignments by the due date given by the instructors.
2. Maintain contact with classmates and instructors through the Blackboard environment.
3. Earn a B or higher in course and a grade of C or better on each assignment.
4. Attend all required sessions. (Excused absences will be made up through independent
work and will be granted only in cases of extreme hardship.)
Grading Scale: A: 90-100; B: 80-89; C: 70-79; F: below 70. To receive a grade of B or better
students must score at least 70% of the points possible in each of the assignment categories to
follow.
Assignments
Task Weight
Content exercises: Participants will be assigned sample exam questions and other
problems to complete independently and in groups. Solutions and presentation of
work will be evaluated on accuracy and effort. When appropriate, participants may be
asked to provide multiple solution strategies for problems, present solutions to
classmates, or evaluate the responses of classmates.
50%
Exploration and Discussion: Participants will be divided into groups of 2-3 students
and will assigned to review a selected exploration of a topic from the Calculus AB or
BC syllabus that uses technology. Each group will present this exploration to the class
and will lead a short class discussion of the merits and pedagogical usefulness of the
exploration.
25%
Syllabus: Participants will create a syllabus for AP Calculus (AB or BC), including a
pacing guide and a plan for preparation of materials and activities to be used in the
course.
25%
Weekend I
Light snacks
provided Topics
Friday
Introductions of Students and Instructors
Review of Course Syllabus
Introduction to Blackboard and WileyPlus
Overview of AP Calculus: Course Topics and the AP Exam
Content Review: Functions (BAPC Chapter 1)
Saturday
Discussion of Homework Problems
Exploration and Discussion of Graphing Calculator Activity
Exploration of Wolfram|Alpha (http://www.wolframalpha.com/)
Content Review: Limits and Continuity (BAPC Chapter 2)
Summer Session
Light snacks
provided Topics
Monday
9:00-9:30
9:30-11:00
11:00-12:00
12:00-1:00
1:00-1:30
1:30-2:15
2:15-4:00
4:00-5:00
Discussion of Homework Problems
Content Review: Differentiation (BAPC Chapter 3, Sections A-D)
Exploring AP Central and other Online Resources for Calculus
Lunch
Preparing your AP Calculus Syllabus
Discussion of Exam Preparation
Content Review: More on Differentiation (BAPC Chapter 3,
Sections E, G-I, K)
Homework Session
Tuesday
9:00-9:30
9:30-11:00
11:00-12:00
12:00-1:00
1:00-1:30
1:30-3:15
3:15-4:00
4:00-5:00
Discussion of Homework Problems
AB Content Review: Applications of Differential Calculus
(BAPC, Chapter 4, Sections A-E)
Introduction to the TI-Inspire
Lunch
Graphing Calculator Activity
Content Review: More Applications of Differential Calculus
(BAPC, Chapter 4, Sections F-J)
AP Topic
Homework Session
Wednesday
9:00-9:30
9:30-11:00
11:00-12:00
12:00-1:00
1:00-1:30
1:30-3:15
3:15-4:00
4:00-5:00
Discussion of Homework Problems
Content Review: More Applications of Differential Calculus,
Antidifferentiation: (BAPC, Chapter 4, Sections L-M; Chapter 5,
Sections A-B, E)
Pedagogical Activity
Lunch
Graphing Calculator Activity
Content Review: Definite Integrals (BAPC, Chapter 6, A-B, D-G)
AP Topic
Homework Session
Thursday
9:00-9:30
9:30-11:00
11:00-12:00
12:00-1:00
1:00-1:30
1:30-3:15
3:15-4:00
4:00-5:00
Discussion of Homework Problems
Content Review: Applications of Integration (BAPC, Chapter 7,
Sections A-B; Chapter 8, Sections A, C-D)
Pedagogical Activity
Lunch
Graphing Calculator Activity
Content Review: Differential Equations (BAPC, Chapter 9,
Sections A-E) AP Topic
Homework Session A lunch break will be provided Monday-Wednesday, but participants should bring lunch or plan to eat on campus. Lunch will be
provided on Thursday.
Weekend II
Light snacks
provided Topics
Friday
Review and Discussion of Homework Problems
Sample AP Exam: the Free-Response Questions
Saturday
Reading the Free-Response Questions
Top Ten Tips for AP Teachers
Lingering Questions on Content and Pedagogy
Course Evaluation/Assessment