Math

Session 1 — JULY 7-12

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 AB

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 AB 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.

Economics (Micro/Macro Combined)

Instructor: Patty Brazill

Throughout our short four and a half days together, the goal is for each participant to come away better prepared to teach AP Economics. This objective will be achieved through an intensive review of specific content, as listed in the Acorn Book, published by the College Board. Lessons on more difficult concepts will be modeled. Participants will study the design of the currently available part two questions and learn the use of rubrics in the grading process. A session will be dedicated to setting up the course, either for a single semester or for a year, with a focus on the redesigned course coming in 2020. Various texts and ancillary materials will be available for evaluation. I will establish a network of support for teachers seeking help in any content area.

I plan a dual approach, providing participants the opportunity to focus on their needs, based on their course design: macro only, micro only, or combined, in order to prepare teachers for teaching AP Economics through an intensive review of curriculum content, textbook evaluations and time management. Teacher will be able to choose which course topics to focus on as I plan a module approach focusing on the difficult topics in each course.

I will model for participant’s lessons on challenging economic concepts, including: graphing of market models, externalities, Aggregate Demand and Supply, Monetary policy, loanable funds market, MRP and others.
The goal is to clearly identify for teachers the need to know concepts and models, as well as provide guidelines for those concepts which will enrich the AP classroom.
We plan a dual approach with two presenters, providing participants the opportunity to focus on their needs, based on their course design: macro only, micro only, or combined, in order to prepare teachers for teaching AP Economics through an intensive review of curriculum content, textbook evaluations and time management. Teacher will be able to choose which course topics to focus on as we plan a module approach focusing on the difficult topics in each course.

We will model for participant’s lessons on challenging economic concepts, including: graphing of market models, externalities, Aggregate Demand and Supply, Monetary policy, loanable funds market, MRP and others.
Our goal is to clearly identify for teachers the need to know concepts and models, as well as provide guidelines for those concepts which will enrich the AP classroom.

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 2 — JULY 14-19

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 AB

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.

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.

Math Topic: Pre-Calculus for Middle School and High School Teachers

Instructor: Eliel Gonzalez

Audience: Teachers in grades 6 - 12. Others with the permission of the instructor.

This week long course offers an intensive and fast-paced review of all content in the standard Pre-Calculus high school curriculum with emphasis on lesson planning, appropriate materials, graphing calculators, effective instructional methods and SAT/ACT connections. This course is designed specifically for teachers who desire direct instruction in all Pre-Calculus concepts and topics from a mathematical, curriculum, and instructional perspective. Topics include functions and their graphs; polynomial and rational functions; conics; trigonometry, and sequences and series. Each participant needs to bring a graphing calculator to class each day. A TI-83/TI-84 is suggested.

TEXTBOOK: (provided): Larson, Precalculus, 7th Ed.

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 21-26

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 AB

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.

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)!