3

Click here to load reader

AP Institute Packet. Calculus Barron’s AP Calculus ... · Special Topics in Content and Pedagogy for Mathematics Teachers MAED694-601: Teaching AP Calculus (AB) Summer 2014 3 credits

Embed Size (px)

Citation preview

Page 1: AP Institute Packet. Calculus Barron’s AP Calculus ... · Special Topics in Content and Pedagogy for Mathematics Teachers MAED694-601: Teaching AP Calculus (AB) Summer 2014 3 credits

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

[email protected]

152 Bancroft Hall

803-323-4604

Ms. Suzanne Tolson

[email protected]

Nation Ford High School

803-835-0000

Dr. Zachary Abernathy

[email protected]

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.)

Page 2: AP Institute Packet. Calculus Barron’s AP Calculus ... · Special Topics in Content and Pedagogy for Mathematics Teachers MAED694-601: Teaching AP Calculus (AB) Summer 2014 3 credits

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

Page 3: AP Institute Packet. Calculus Barron’s AP Calculus ... · Special Topics in Content and Pedagogy for Mathematics Teachers MAED694-601: Teaching AP Calculus (AB) Summer 2014 3 credits

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