Mathematics

Algebra I

This course provides an introduction to algebraic properties and expressions. Topics include the study of equations and inequalities in one variable, work with polynomials and exponents, and graphing of linear equations. Students also begin solving and graphing systems of linear equations. A brief introduction to quadratic forms is included.

Algebra II

This is a second-year high-school algebra course designed to develop proficiency in mathematical skills, to solidify an understanding of mathematical concepts, and to encourage logical yet creative thinking. Class sizes are kept small so that students have every opportunity to achieve success and gain confidence in their ability to do mathematics.

Calculus

This course is offered to advanced students who thoroughly enjoy the application of complex mathematical concepts. The primary function is to demonstrate the enjoyment that is present in higher-level mathematics.

As with most calculus courses, the first term concentrates on differential calculus and the second on integral calculus. Although there is some emphasis on application, a secure grasp of the fundamental concepts is also stressed.

Geometry

Geometrical relationships and the structures of logic are the two main themes of this course. The topics are explored in such a way that students discover and define the fundamental relationships as a class throughout the year. The basics of plane geometry and symmetry are covered, along with an introduction to the geometry of the solids and beginning trigonometry. Deductive and inductive reasoning are woven in throughout the topics, thus developing a system of logical thought that is intended to contribute, not only to other math and science courses, but to all areas of study.

Introduction to Trigonometry

This class will explore linear, quadratic, exponential and logarithmic functions. Students will learn right triangle trigonometry and the unit circle. The purpose of this class is to establish thorough knowledge of trigonometric functions and their applications.

Mathematical Logic & Puzzle Solving

This class explores the idea that learning can be understood simply as the process of finding the solutions to a series of puzzles. We will look specifically as to how this idea applies in the area of mathematics by solving, talking about, and creating a variety of puzzles. Using logic, number, and word puzzles, platform puzzlers, puzzle video games, Escape the Room, Rubik’s cubes, geocaching, and more, we will seek an understanding of what drives individuals to want to solve puzzles and how that relates to learning mathematical concepts.

Pre-Calculus

Designed to prepare students for college-level calculus, this is a fast-paced course. Questions are continually asked that go beyond the immediate problem being examined. Topics covered include graphing techniques, trigonometry, vectors, conic sections, transcendental functions, polar coordinates, and sequences and series.

There is an introduction to the concepts of calculus at the end of the year.

Data, Probability, and Statistics

This course is designed to introduce students to the wide world of analyzing data mathematically. We will study probability and its implications, data entry and analysis, and statistical methods. We will be analyzing real data from studies found across the media to verify and more carefully dissect their claims. We will also be talking about finances – including student loans and credit cards – to understand what real world affects interest rates and small adjustments have to future consumers. This will likely be a full year class with significant hands on material, and will be sufficient for any student needing further math credits in high school.

Multivariable Calculus

This is an intense course designed to supplement and augment the introductory calculus course at Buxton, and then to push beyond into the world of multivariable functions and spaces. It is fast paced and rigorous, and will expect a lot (and teach a lot) to students. We will study partial differentiation, multiple integration, line and surface integrals, gradient, divergence, and curl and their corresponding theorems. It is an exciting take on a very serious university level course, and once completed will allow students to go significantly farther in math, science, and engineering if they so choose.

Testimonials

  • “Learning doesn’t stop when you leave the classroom, it’s continuing through every moment of the day and your life, constantly shaping and reshaping you.”
    Hollis Lane
    Hollis Lane San Francisco, CA
  • “At Buxton you get to focus on what you want to be learning; whether it is social skills or in-depth studying- you learn to take responsibility of your education.”
    Francis Magai
    Francis Magai Troy, NY
  • “Living your education means to not only learn things, but to use what you learn in your everyday life.”
    Naima Nigh
    Naima Nigh Mexico
  • “To me, living your education means to be independent, to take charge, to not be afraid of asking for help, to learn from your peers, to love to learn, to take what you have learned from a loving environment and take it into the world.”
    Kat Hallowell
    Kat Hallowell New Hampshire
  • “Your education is more than just your time in class, it’s your life as a whole. Learning is not limited to a teacher teaching you something in a classroom.”
    Cynder Johnson
    Cynder Johnson Missouri
  • “To me, at Buxton, it’s not boundaries that you make, but the ones you break through.”
    Roy Malone
    Roy Malone New York, NY
  • “At Buxton, I can choose what I want to do with my education. I can design my own path and invest my time studying topics that I’m really interested in.”
    Nora Mittleman
    Nora Mittleman New York, NY
  • “At Buxton you can experience your intellectual development in a community that accepts your perspective of the world.”
    Ben Nigh
    Ben Nigh Mexico
  • “I felt instantly at home when I stepped on the campus. At Buxton, we are in school 24/7. We learn things in the classroom, but we really learn valuable things outside of the classroom. We learn how to work with others and respect each other’s spaces. Our education surrounds us and we learn new things everyday.”
    Emily Woodside
    Emily Woodside Albany, NY
  • “I chose Buxton over public school because I think I function better in a smaller environment. You’re able to get to know students and faculty on a deeper level, which is rare.”
    Charlie Starenko
    Charlie Starenko Williamstown, MA
  • “Students should be happy when they are learning. They should not feel like studying is a burden to them. You learn things from your living space and environment - you are learning every second you are living.”
    Jiayi Cao
    Jiayi Cao China
  • “Living your education means you become an active learner. You are not just learning in the classroom or while you are doing your homework. You live your life learning and taking in the world’s various educations.”
    Lena Meginsky
    Lena Meginsky Northhampton, MA
  • “Buxton has shown me that it is possible to forge close bonds with teachers as well as students. It also gives you the ability to try new things in an environment where there is no judgment.”
    Kristhal Ayala
    Kristhal Ayala Puerto Rico
  • “I chose Buxton for a small community-based education with focus on the individual as part of the world at large, along with the learning settings.”
    Katie McAvoy
    Katie McAvoy Boston, MA
  • “I love the atmosphere and how tightly knit the community is. At Buxton you take what you learn in the classroom and use it in everyday life - you learn from the world around you and see how you can make it better.”
    Cheyanne Williams
    Cheyanne Williams Boston, MA
  • “At Buxton you bring your education into everything you do, and learn important, relevant things that you can utilize all the time.”
    Rebecca van der Meulen
    Rebecca van der Meulen New Lebanon, NY
  • “At Buxton, wherever I go, whatever I do, I’m learning. Formal classes are just an extension of the learning that happens everywhere else in my life.”
    Kullan Warner
    Kullan Warner Wilton, CT
  • “Being academic feels important. It really helps forge relationships between students and faculty, which is such an important thing here. It is so important that the faculty live in the dorms and everyone has a faculty advisor. You get to know your teachers outside of school life and having those relationships really strengthens the joy I have in learning.”
    Rose Shuker
    Rose Shuker Williamstown, MA
  • “To me, “live your education” means to aim for learning in everything you do - not just in the classes and schoolwork. Every experience in life has educational value, so the more experiences I have the more educated I can be.”
    Will Harris
    Will Harris East Chatham, NY
  • “There are no boundaries between our times for learning and our times for living; this is because of the fact that we have classes at all different times of day, and because all our activities are intermingled with our classes. We live at the place we go to school, so people learn everyday all day even outside of the classroom.”
    Iona Green
    Iona Green Chatham, NY
  • “A sense that everybody matters, that you are in a community where everyone can make a difference and reach their full potential, where you are interdependent and you work together, and most importantly where you understand that you can do whatever you want to do and whatever it is that you do, you have got to make a difference. I think that, more than anything, defines my experience at Buxton.”
    Peter Shumlin
    Peter Shumlin Governor of Vermont, Buxton Alumni

Live your education at Buxton

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