Real Math: Mathematics is the language of science with arithmetic as its alphabet and words, and algebra as its syntax. Like other languages, mathematics is an abstraction with structure and logic; therefore, any pedagogical approach to the subject cannot emphasize the concrete and immediate, but rather reveal the step-by-step process of arriving at the relationship of numbers in and of themselves, creating a world of ideas beyond what is perceived.

Penmanship: A child learns the printed alphabet in order to read correctly; he learns the cursive alphabet so that he may later express his thoughts quickly and clearly.

Reading, Writing and Syntax: The phonemes of the English language are clearly taught so that the child may decipher the graphemes of the language more accurately. The morphology of the language is inductively built up leading to the understanding of syntax and grammar. Such an approach enables the child to decode and sustain ideas in reading and writing.

Latin and Greek: Junior students will begin the study of these two classical languages. Sixty percent of English words owe their origin to Latin and Greek. As inheritors of the great Greek tradition, Princeton Lyceum values the rich font of knowledge bequeathed to us through the Renaissance.

Mythology: Junior students learn and act out the great Greek and Roman myths; thereby creating a database for future metaphors in literature, art and music.

Music: Junior students have music four times a week.