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The course ex­am­ines the con­tent of the sec­ondary school math­e­mat­ics cur­ricu­lum from an ad­vanced per­spec­tive. Ped­a­gog­i­cal con­tent knowl­edge is ex­am­ined in dis­cus­sions of math­e­mat­i­cal con­cept rep­re­sen­ta­tions, stu­dent er­rors, and the de­sign of ac­tiv­i­ties. Logo cre­ated with free on­line image ed­i­tor Pixlr.​com.

The course examines the content of the secondary school mathematics curriculum from an advanced perspective. Pedagogical content knowledge is examined in discussions of mathematical concept representations, student errors, and the design of activities. Logo created with free online image editor Pixlr.com.

MAT 3050 cov­ers Eu­clid­ean and hy­per­bolic geom­e­try in two and three di­men­sions from an ax­iomatic point of view. It ex­am­ines clas­si­cal the­o­rems as well as groups of trans­for­ma­tions.

MAT 3050 covers Euclidean and hyperbolic geometry in two and three dimensions from an axiomatic point of view. It examines classical theorems as well as groups of transformations.

MAT 2571 pre­pares stu­dents for an ad­vanced math­e­mat­ics cur­ricu­lum by pro­vid­ing a foun­da­tion to proofs in ab­stract math­e­mat­ics. Top­ics in­clude propo­si­tional and first order logic, ax­iomatic ap­proach to num­ber the­ory, set the­ory, and ab­stract prop­er­ties of re­la­tions, with a par­tic­u­lar em­pha­sis on num­ber the­ory. The course fo­cuses on the processes of math­e­mat­i­cal ar­gu­men­ta­tion and rea­son­ing, de­duc­tion, and dis­cov­ery.

MAT 2571 prepares students for an advanced mathematics curriculum by providing a foundation to proofs in abstract mathematics. Topics include propositional and first order logic, axiomatic approach to number theory, set theory, and abstract properties of relations, with a particular emphasis on number theory. The course focuses on the processes of mathematical argumentation and reasoning, deduction, and discovery.

This is the First Year Learn­ing Com­mu­nity bring­ing to­gether ARCH 1101 and ENG 1101 in Fall 2020. ARCH 1101, In­tro­duc­tion to Ar­chi­tec­ture: Un­der­stand­ing ar­chi­tec­ture is achieved by de­vel­op­ing a vi­sual lit­er­acy of New York City’s built en­vi­ron­ment. Using the city as a liv­ing lab­o­ra­tory, stu­dents ex­plore con­cepts of de­sign, com­po­si­tion, and con­struc­tion by sketch­ing and writ­ing about their di­rect ex­pe­ri­ence of build­ings. Focus work­shops on free­hand draw­ing tech­niques, basic draft­ing skills, graphic stan­dards, 2D and 3D com­po­si­tion, writ­ing about build­ings and their con­struc­tion, and read­ing ar­chi­tec­tural draw­ings are cen­tral to this course. Stu­dents de­velop graphic skills and the basic foun­da­tion to talk, write, and graph­i­cally ex­press ar­chi­tec­ture and its con­struc­tion. ENG 1101, Eng­lish Com­po­si­tion 1, is a course in ef­fec­tive essay writ­ing and basic re­search tech­niques, in­clud­ing use of the li­brary. Col­lege-level read­ings are as­signed for class-wide dis­cus­sion and as a basis for writ­ing pro­jects.

This is the First Year Learning Community bringing together ARCH 1101 and ENG 1101 in Fall 2020. ARCH 1101, Introduction to Architecture: Understanding architecture is achieved by developing a visual literacy of New York City’s built environment. Using the city as a living laboratory, students explore concepts of design, composition, and construction by sketching and writing about their direct experience of buildings. Focus workshops on freehand drawing techniques, basic drafting skills, graphic standards, 2D and 3D composition, writing about buildings and their construction, and reading architectural drawings are central to this course. Students develop graphic skills and the basic foundation to talk, write, and graphically express architecture and its construction. ENG 1101, English Composition 1, is a course in effective essay writing and basic research techniques, including use of the library. College-level readings are assigned for class-wide discussion and as a basis for writing projects.