Curriculum Detail

SPL: Picker

Mathematics

In the universe of numbers, there are truths and falsehoods. Fundamentally, mathematics is the business of figuring out which is which. The goals for our students are to experience the beauty of the discipline, master its essential content, and most of all, develop resilient, flexible and efficient problem-solving skills. Real problems are those to which one doesn’t already know the answer, so solving them requires persistence and ingenuity. Our students learn to experiment, notice patterns, make conjectures, generalize, test with counterexamples, construct convincing arguments, present ideas orally and in writing, use precise structures and language, gauge the reasonableness of answers and critique the arguments of others. Fluency of skills is critical for progress, and skills are learned in meaningful contexts so that each new idea contributes to a coherent big-picture understanding.
 
In Grades 9 through 11, students follow a sequence of integrated, problem-centered courses, using as primary texts Math 1 through Math 4 published by Phillips Exeter Academy. Courses are integrated because the study of geometry, transformations, vectors, matrices, combinatorics and data analysis are woven throughout the curriculum so that meaningful connections are developed to a core strand of algebraic techniques. Courses are problem-centered because they are designed around carefully constructed sequences
of problems where all needed information is embedded in the questions themselves. Class is structured as a seminar where students present problems and discuss their approaches. The teacher helps students evaluate the effectiveness of different strategies and identify key ideas that emerge. In this way, students develop a deep conceptual understanding and gain genuine authority as mathematical thinkers.
 
In Grades 11 and 12, a broad range of elective courses is offered, reflecting the variety of engaging problems and styles of thinking across different fields of higher mathematics.

Upper School Mathematics Sequence
Grade 9 Integrated Math 9 
Grade 10 Integrated Math 10
Grade 11 Integrated Math 11, Semester Electives (Optional)
Grade 12 Semester and Yearlong Electives (Optional)
A K-12 independent school in New York City, The Spence School prepares a diverse community of girls and young women for the demands of academic excellence and responsible citizenship.

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