Math

Session 1 — June 28-JULY 3

The workshop sessions are small, averaging fewer than 15 participants. Each session is designed to meet the needs of the individual participants to ensure that each teacher returns to the classroom with increased confidence and strategies for success.

The leaders are experienced AP teachers with outstanding reputations in public and private schools. All serve as readers at their respective AP readings and are endorsed by the College Board to lead AP workshops. Many of our consultants are table leaders and members of their respective course’s test development committee.

Calculus

Instructor: Eliel Gonzalez

In this institute participants will experience a complete overview of the new AP Calculus AB curriculum frameworks with emphasis on appropriate use of graphing calculator, content and pacing, and global review for the AP exam. We will also review content and pedagogy in the following topics: related rates, area/volume, differential equations/slope fields, the Fundamental Theorem of Calculus, implicit differentiation, L’Hopital’s Rule and other topics. A special focus on assessment and motivation will help participants incorporate new strategies to build a successful AP Calculus program.Participants are asked to bring a graphing calculator.

Computer Science Principles

Instructor: Jacqueline Corricelli

This workshop is designed for beginning (new) as well as experienced teachers to introduce you to College Board’s newest computer science course called AP CS Principles. This course is a broad introduction to computer science designed to improve access for all students. We will focus on the 7 Big Ideas for this course: Creativity, Abstraction, Data and Information, Algorithms, Programming, The Internet, and Global Impact. We will emphasize specific teaching strategies to accomplish each of these tasks in a diverse learning environment and how to recruit students to ensure diversity. We will discuss in detail the structure of the AP CS Principles Assessment including the two Performance Tasks (administered throughout the school year) and the Multiple Choice exam. Scoring rubrics will be utilized. We will use various sites to explore computer science, organize workshop materials, and to collaborate throughout this week.

Statistics

Instructor: Brendan Murphy

The objectives of this weeklong workshop are straightforward: to help our participants do a better job teaching AP Statistics and to improve their students’ scores on the AP Exam.

We will examine the College Board’s outline of topics and course philosophy, discuss the course expectations, and share strategies for success on the AP exam. Additionally, we will review and clarify important concepts in Statistics and provide guidance and answer questions about the subject matter. We will also explore pedagogy, looking at sample lessons, classroom activities, effective demos, and possibilities for projects. Finally, we’ll look at a variety of resources, including textbooks, calculators, videos, software, and other materials.

Whether you are new to AP Statistics or a veteran educator, you’ll come away with lots of valuable insights (and have fun, too)!

Session 2 — JULY 5-10

The workshop sessions are small, averaging fewer than 15 participants. Each session is designed to meet the needs of the individual participants to ensure that each teacher returns to the classroom with increased confidence and strategies for success.

The leaders are experienced AP teachers with outstanding reputations in public and private schools. All serve as readers at their respective AP readings and are endorsed by the College Board to lead AP workshops. Many of our consultants are table leaders and members of their respective course’s test development committee.

Calculus

Instructor: Brendan Murphy

In this institute participants will experience a complete overview of the new AP Calculus AB curriculum frameworks with emphasis on appropriate use of graphing calculator, content and pacing, and global review for the AP exam. We will also review content and pedagogy in the following topics: related rates, area/volume, differential equations/slope fields, the Fundamental Theorem of Calculus, implicit differentiation, L’Hopital’s Rule and other topics. A special focus on assessment and motivation will help participants incorporate new strategies to build a successful AP Calculus program.Participants are asked to bring a graphing calculator.

Dear AP Calculus Participant:

Greetings and welcome to the St. Johnsbury AP Summer Institute. If you have never been to St. Johnsbury or Vermont you’re in for a treat!! I’m looking forward to meeting and working with you this summer, and I’m sure you’ll find the experience to be some of the best professional development you’ve ever participated in. I’m a high school math teacher in Bangor, Maine and ran a mentoring program for the Maine Department of Education for new(er) AP Statistics teachers for seven years. I’m an approved AP Calculus Reader and have run summer institutes in AP Calculus, AP Statistics, and Vertical Teams Math. I’ve also taught both AB and BC Calculus as virtual courses for the Maine DOE for the last ten years. I am currently on the AP Calculus Test Development Committee and we’ll talk in about what this committee does and how we put the exams together.

We will review all of the major topics covered under the AP Calculus AB curriculum, the AP Exam, resources, and classroom strategies. Starting in August 2019, the AB Calculus class has a new CED (Course and Exam Description) and we will review this in some detail during the week. Typically we will have a mix of teachers with different levels of experience, which just makes for a better week and classroom discussions. Since the AP Calculus Exam is about 33% calculator active, I will use the TI-83/84 as a teaching tool during the institute. I usually assign a small amount of homework each night, but want to make sure we have plenty of time for bocce and fun.

We will review released Multiple Choice and Free Response questions from the College Board as we review various calculus concepts. If you have a textbook that you will be using, feel free to bring it, if not do not worry about it. Please bring your graphing calculator if you have one, if not I usually bring a few extra calculators which you could borrow during the week. If you have a laptop I encourage you to bring this as well. If you are newer to the calculus you might want to do some review work before our session as this will make the week more enjoyable and productive for you.

The campus is beautiful, the food is excellent, and I am sure we’ll have a great week together. Do not worry if you have not taught the course before, we’ll have some fun and laugh a lot and of course do a lot of productive work during the week.

Feel free to contact me with any questions, concerns, or issues at brendankmurphy@yahoo.com. Good luck with rest of your school year, and I look forward to working with you in July. I’ll see you in Vermont this summer and thanks for selecting St. Johnsbury. Brendan Murphy

AP Calculus Institute

Overview

Monday, July 15

8:00 a.m. – 12:00 p.m.

12:30 – 3:00 p.m.

Tuesday, July 16

8:00 a.m. – 12:00 p.m.

12:30 – 3:00 p.m.

Wednesday, July 17

8:00 a.m. – 12:00 p.m.

12:30 – 3:00 p.m.

Thursday, July 18

8:00 a.m. – 12:00 p.m.

12:30 – 3:00 p.m.

Friday, July 19

8:00 a.m. – 12:00pm

Lunch will be provided each day for 30 minutes.

There will be a morning break with typical refreshments provided.

I will be available on Monday, Tuesday, and Wednesday nights for one hour (pending room availability) for extra help, one on one help, and/or calculator instruction.

Course Outline

This session is designed for beginning (new) as well as experienced AP Calculus teachers and will focus on the three major themes in calculus: Limits, Derivatives, and Integration. Strategies and pedagogy to effectively present the calculus concepts covered under the AB curriculum (CED) will be discussed. Using numerous Free Response questions, we will discuss the scoring rubrics and how the exam is scored/read. We will also discuss in detail the AP Calculus Exam and how these calculus topics are “tested.”


AP Calculus Institute

Outline

Title: AP Calculus AB

Goal: To help prepare beginning teachers to AP Calculus the skills to develop and present an effective AP Calculus class. For more experienced AP teachers, this institute will help you refine and improve upon your existing calculus skills.

Course Description: Over the course of this institute we will discuss:

1.Topics included in the AP curriculum (including some BC topics)

2.Calculator usage

3.Teaching styles/strategies

4.Various textbooks/publishers

5.Available resources for AP teachers

6.How to present various calculus concepts

7.The AP exam format

8.Scoring the AP exam

Instruction Types: Presentations, group discussions, small group work, individual presentations, problem-solving sets

Assignments: Participants are expected to participate daily according to their comfort level, “homework” will be given on Monday, Tuesday, and Wednesday nights, with individual presentations on Thursday or Friday as applicable.

Letter of Accommodation: If you need/want me to write a letter to your superintendent, principal or department head explaining the work you did during this institute, please just leave a name and address and I will gladly do this when I get back to school in the fall.

Calculators: The TI-83 (84) graphing calculator will be used extensively during the institute, participants should bring their own calculator. If you are unable to bring a calculator, let me know and I will bring you a “loaner” calculator for the week.


AP Calculus Institute

Daily Overview

Day 1: Monday, July 15

  • Problem of the Day
  • AP Calculus Overview (New CED)
  • Textbooks
  • Reform Movement
  • Limits
  • Derivatives
  • Homework

Day 2: Tuesday, July 16

  • Problem of the Day
  • Rate of Change
  • Implicit Differentiation
  • Related Rates
  • Applications of the Derivative
  • Riemann Sums
  • Homework

Day 3: Wednesday, July 17

  • Problem of the Day
  • Accumulation
  • Integration
  • Fundamental Theorem of Calculus (FTC)
  • Slope Fields
  • New CED

Day 4: Thursday, July 18

  • Problem of the Day
  • Transcendental Functions
  • Differential Equations
  • Area/Volume Problems
  • New CED

Day 5: Friday, July 19

  • BC Calculus Overview
  • Scoring Student Samples
  • College Board Rubrics
  • Scoring the AP Exam
  • Closing Activities
  • Evaluations

Calculus BC

Instructor: Vic Levine

This workshop will cover all of the BC curriculum, with an emphasis on infinite series, approximations, parametric relationships and concepts dealing with infinity. Participants will be solving AP free response and multiple choice questions, as well as learning how the free response questions are scored. We will discuss teaching strategies and investigate resources found on the Web. The recent curriculum re-write will be addressed, as well as any other issues that the participants want discussed.

Computer Science A

Instructor: Maria Litvin

The course accommodates participants with different levels of familiarity with Java and OOP. We will study classes and objects, constructors and methods, interfaces and inheritance, strings, arrays and ArrayList, and other topics specified in the AP CS Course Description. We will also review the College Board’s AP materials, work with the “Magpie,” “Pictures,” and “Elevens” labs, recommended by the Development Committee, review the free-response questions from the latest AP CS Exam, and discuss techniques for teaching Java in high school (role play, team projects).


Dear colleague:

I look forward to working with you at the AP Summer Institute in Computer Science A in St. Johnsbury Academy this summer. Our goals of the APSI include learning topics of the AP Computer Science A, based on the new course and exam description (CED updated by the College Board for the academic year 2019-20, and sharing and exploring innovative teaching practices. Whether you are new to Java or someone who taught AP CSA before, you will find our discussions and labs useful while challenging and fun.

Our APSI will involve a great deal of hands-on lab work and classroom discussion.

We will use Oracle’s Java 10 or Java 12 on the computers in the lab: oracle.com/technetwork/java/javase/downloads/index.html,

together with Eclipse IDE on the Windows computers (the software is free). If you plan to use your own Mac or Windows laptop, please bring it with the Java software installed (download the latest versions of Java SE and Eclipse IDE). Instead of Eclipse, you may use any Java IDE of your choice. Information about getting started with Java and which software to download and install is at: skylit.com/javamethods/faqs/index.html.

In addition, please “Download student files” (studentdisk.zip) for

Java Methods: Object-Oriented Programming and Data Structures from: skylit.com/javamethods/index.html (a CD icon is in the shaded right column).

Our textbook is Java Methods: Object-Oriented Programming and Data Structures, 3nd AP Edition, by Maria Litvin & Gary Litvin, Skylight Publishing, 2015. You will receive a copy of this book at the workshop.

To practice writing Java code, do a few exercises suggested at codingbat.com, Practice It Javapracticeit.cs.washington.edu/, and https://codestepbystep.com/.

College Board’s AP Central website for the AP Computer Science A course is apcentral.collegeboard.com/compscia. Links to many useful materials are collected at skylit.com/cblinks.html.

If you have technical questions or concerns, please e-mail me at mlitvin@andover.edu.

See you in July,

Maria

Statistics

Instructor: Laura Marshall

The objectives of this weeklong workshop are straightforward: to help our participants do a better job teaching AP Statistics and to improve their students’ scores on the AP Exam.

We will examine the College Board’s outline of topics and course philosophy, discuss the course expectations, and share strategies for success on the AP exam. Additionally, we will review and clarify important concepts in Statistics and provide guidance and answer questions about the subject matter. We will also explore pedagogy, looking at sample lessons, classroom activities, effective demos, and possibilities for projects. Finally, we’ll look at a variety of resources, including textbooks, calculators, videos, software, and other materials.

Whether you are new to AP Statistics or a veteran educator, you’ll come away with lots of valuable insights (and have fun, too)!

Session 3 — JULY 12-17

The workshop sessions are small, averaging fewer than 15 participants. Each session is designed to meet the needs of the individual participants to ensure that each teacher returns to the classroom with increased confidence and strategies for success.

The leaders are experienced AP teachers with outstanding reputations in public and private schools. All serve as readers at their respective AP readings and are endorsed by the College Board to lead AP workshops. Many of our consultants are table leaders and members of their respective course’s test development committee.

Calculus

Instructor: Eliel Gonzalez

In this institute participants will experience a complete overview of the new AP Calculus AB curriculum frameworks with emphasis on appropriate use of graphing calculator, content and pacing, and global review for the AP exam. We will also review content and pedagogy in the following topics: related rates, area/volume, differential equations/slope fields, the Fundamental Theorem of Calculus, implicit differentiation, L’Hopital’s Rule and other topics. A special focus on assessment and motivation will help participants incorporate new strategies to build a successful AP Calculus program.Participants are asked to bring a graphing calculator.

Calculus Experienced

Instructor: Vic Levine

This course is designed for teachers who have already taught the AB curriculum and are comfortable with the AP program. The AB curriculum will be reviewed, with an emphasis on the topics the participants desire. We will look at proofs of the basic theorems of AB calculus, as well as more in depth explorations of differential and integral calculus applications.
In addition, we will look at first semester college calculus topics that are not part of the AB curriculum. The specific topics will be determined by the group.

These sessions will cover all topics on the Calculus AB syllabus which includes limits and continuity, definition of the derivative, applications of the derivative, rate of change, Mean Value Theorem, Riemann sums, the definite integral by geometric and analytic means, average value, anti-differentiation,, applications of integration, the Fundamental Theorem of Calculus, slope fields, applications of anti-differentiation and separable differential equations.

This institute will focus on the content knowledge described in the AP syllabus as well as techniques and ideas for developing a successful AP program. We will cover topic content, strategies, and teaching techniques for presenting the material for student understanding will be shared. We will use multiple representations graphical, numerical, analytic, and verbal to foster a more complete understanding of calculus.

Sample problems from previous AP exams will be given and solved together to develop an understanding of the material and the College Board philosophy. Participants will also receive a variety of classroom tested activities and calculator programs to enhance their own teaching. We will discuss ways to prepare students for the AP exam. Participants will also get several current textbooks and resource materials. Instructors will be sharing their extensive files.

Participants should bring a TI 83/84 graphing calculator and a laptop as we will look at many free web-based resources. St. Johnsbury does provide free internet access in the classrooms and dorms.

Statistics

Instructor: Laura Marshall

The objectives of this weeklong workshop are straightforward: to help our participants do a better job teaching AP Statistics and to improve their students’ scores on the AP Exam.

We will examine the College Board’s outline of topics and course philosophy, discuss the course expectations, and share strategies for success on the AP exam. Additionally, we will review and clarify important concepts in Statistics and provide guidance and answer questions about the subject matter. We will also explore pedagogy, looking at sample lessons, classroom activities, effective demos, and possibilities for projects. Finally, we’ll look at a variety of resources, including textbooks, calculators, videos, software, and other materials.

Whether you are new to AP Statistics or a veteran educator, you’ll come away with lots of valuable insights (and have fun, too)!

Session 4 — JULY 19-24

The workshop sessions are small, averaging fewer than 15 participants. Each session is designed to meet the needs of the individual participants to ensure that each teacher returns to the classroom with increased confidence and strategies for success.

The leaders are experienced AP teachers with outstanding reputations in public and private schools. All serve as readers at their respective AP readings and are endorsed by the College Board to lead AP workshops. Many of our consultants are table leaders and members of their respective course’s test development committee.

Calculus

Instructor: Eliel Gonzalez

In this institute participants will experience a complete overview of the new AP Calculus AB curriculum frameworks with emphasis on appropriate use of graphing calculator, content and pacing, and global review for the AP exam. We will also review content and pedagogy in the following topics: related rates, area/volume, differential equations/slope fields, the Fundamental Theorem of Calculus, implicit differentiation, L’Hopital’s Rule and other topics. A special focus on assessment and motivation will help participants incorporate new strategies to build a successful AP Calculus program.Participants are asked to bring a graphing calculator.

Computer Science Principles

Instructor: Jacqueline Corricelli

This workshop is designed for beginning (new) as well as experienced teachers to introduce you to College Board’s newest computer science course called AP CS Principles. This course is a broad introduction to computer science designed to improve access for all students. We will focus on the 7 Big Ideas for this course: Creativity, Abstraction, Data and Information, Algorithms, Programming, The Internet, and Global Impact. We will emphasize specific teaching strategies to accomplish each of these tasks in a diverse learning environment and how to recruit students to ensure diversity. We will discuss in detail the structure of the AP CS Principles Assessment including the two Performance Tasks (administered throughout the school year) and the Multiple Choice exam. Scoring rubrics will be utilized. We will use various sites to explore computer science, organize workshop materials, and to collaborate throughout this week.

Statistics

Instructor: Brendan Murphy

The objectives of this weeklong workshop are straightforward: to help our participants do a better job teaching AP Statistics and to improve their students’ scores on the AP Exam.

We will examine the College Board’s outline of topics and course philosophy, discuss the course expectations, and share strategies for success on the AP exam. Additionally, we will review and clarify important concepts in Statistics and provide guidance and answer questions about the subject matter. We will also explore pedagogy, looking at sample lessons, classroom activities, effective demos, and possibilities for projects. Finally, we’ll look at a variety of resources, including textbooks, calculators, videos, software, and other materials.

Whether you are new to AP Statistics or a veteran educator, you’ll come away with lots of valuable insights (and have fun, too)!