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Stu­dents ex­am­ine the ra­tio­nale and ped­a­gogy for the ef­fec­tive use of tech­nol­ogy in the mid­dle and high school math­e­mat­ics class­rooms. The tech­nolo­gies con­sid­ered may in­clude graph­ing cal­cu­la­tors, com­puter al­ge­bra sys­tems, spread­sheets, and dy­namic geom­e­try soft­ware.

Students examine the rationale and pedagogy for the effective use of technology in the middle and high school mathematics classrooms. The technologies considered may include graphing calculators, computer algebra systems, spreadsheets, and dynamic geometry software.

This course in­tro­duces the foun­da­tions of dis­crete math­e­mat­ics as they apply to com­puter sci­ence, fo­cus­ing on pro­vid­ing a solid the­o­ret­i­cal foun­da­tion for fur­ther work. Top­ics in­clude func­tions, re­la­tions, sets, sim­ple proof tech­niques, Boolean al­ge­bra, propo­si­tional logic, el­e­men­tary num­ber the­ory, writ­ing, an­a­lyz­ing and test­ing al­go­rithms.

This course introduces the foundations of discrete mathematics as they apply to computer science, focusing on providing a solid theoretical foundation for further work. Topics include functions, relations, sets, simple proof techniques, Boolean algebra, propositional logic, elementary number theory, writing, analyzing and testing algorithms.

This course ex­am­ines the his­tor­i­cal, philo­soph­i­cal, and so­ci­o­log­i­cal foun­da­tions un­der­ly­ing the de­vel­op­ment of Amer­i­can ed­u­ca­tional in­sti­tu­tions. The role of the schools, the aims of ed­u­ca­tion, di­verse learn­ers, the math­e­mat­ics cur­ricu­lum in New York State, legal prin­ci­ples that af­fect ed­u­ca­tion, and the role of state, local, and fed­eral agen­cies will be em­pha­sized.

This course examines the historical, philosophical, and sociological foundations underlying the development of American educational institutions. The role of the schools, the aims of education, diverse learners, the mathematics curriculum in New York State, legal principles that affect education, and the role of state, local, and federal agencies will be emphasized.

This course is de­signed to pre­pare stu­dents for an ad­vanced math­e­mat­ics cur­ricu­lum by pro­vid­ing a tran­si­tion from Cal­cu­lus to ab­stract math­e­mat­ics. The course fo­cuses on the processes of math­e­mat­i­cal rea­son­ing, ar­gu­ment, and dis­cov­ery. Top­ics in­clude propo­si­tional and first order logic, learn­ing proofs through puz­zles and games, ax­iomatic ap­proach to group the­ory, num­ber the­ory, and set the­ory, ab­stract prop­er­ties of re­la­tions and func­tions, el­e­men­tary graph the­ory, sets of dif­fer­ent car­di­nal­i­ties, and the con­struc­tion and prop­er­ties of real num­bers. Avatar and Header im­ages cre­ated with Hip­ster Logo Gen­er­a­tor http://​www.​hip​ster​logo​gene​rato​r.​com/

This course is designed to prepare students for an advanced mathematics curriculum by providing a transition from Calculus to abstract mathematics. The course focuses on the processes of mathematical reasoning, argument, and discovery. Topics include propositional and first order logic, learning proofs through puzzles and games, axiomatic approach to group theory, number theory, and set theory, abstract properties of relations and functions, elementary graph theory, sets of different cardinalities, and the construction and properties of real numbers. Avatar and Header images created with Hipster Logo Generator http://www.hipsterlogogenerator.com/

Learn how to solve qua­dratic equa­tions, sys­tems of lin­ear equa­tions, and ex­po­nen­tial and log­a­rith­mic func­tions. You’ll also get to learn some trigonom­e­try, in­clud­ing iden­ti­ties, equa­tions and so­lu­tions of tri­an­gles. To do well in this course: prac­tice, prac­tice and prac­tice some more.

Learn how to solve quadratic equations, systems of linear equations, and exponential and logarithmic functions. You’ll also get to learn some trigonometry, including identities, equations and solutions of triangles. To do well in this course: practice, practice and practice some more.