Leonid Khazanov
Professor
Mathematics
EMAIL: lkhazanov@bmcc.cuny.edu
Office: N-599S
Office Hours: TBA
Phone: +1 (212) 776-6486
Leonid Khazanov has been involved in the field of mathematics education for more than 30 years, first in Russia, and then in the United States. In Russia, he initially taught mathematics to workers and peasants in the remote Northern Regions, and later at a Technical College in St. Petersburg. After moving to NYC, he taught for 10 years as an Adjunct Lecturer and full-time Substitute Lecturer at various public and private colleges and universities, before he was appointed to a full-time position in the mathematics department at Borough of Manhattan Community College of the City University of New York. In 2006, after receiving a doctoral degree from Teachers College, Columbia Ubiversity, he was appointed to Assistant Professor.
Expertise
Probability–( Students’ Concepts of Probability)
Degrees
- Ed.D. Mathematics Education, Teachers College, Columbia University,2005
Courses Taught
- This course is a combination of arithmetic and elementary algebra. It includes the arithmetic of integers, fractions, decimals, and percent. In addition, such topics as signed numbers, algebraic representation, operations with polynomials, factoring, the solution of simultaneous linear equations of two variables, and graphing are covered.
Students who passed MAT 12, MAT 14, MAT 41, MAT 51, MAT 56, MAT 160, MAT 161, MAT 56.5, MAT 150.5 cannot take MAT 161.5.
Course Syllabus - This course is the first algebra course offered at the College. It includes such topics as algebraic representation, signed numbers, operations with polynomials, factoring, the solution of linear equations, the coordinate system, the solution of simultaneous linear equations of two variables, and graphing. This course is designed to prepare students for the CUNY Freshman Skills Assessment Test required for transfer to the upper division of CUNY, as well as for more advanced math courses. If a student passes MAT 12, the student should not register for MAT 51, since MAT 12 combines MAT 8 and MAT 51.
Students who passed MAT 12, MAT 14, MAT 41, MAT 51, MAT 56, MAT 160, MAT 161, MAT 56.5, MAT 150.5 cannot take MAT 161.5.
Course Syllabus - This course is the second algebra course offered at the college. It is open to students who have completed elementary algebra or its equivalent. It includes such topics as: factoring, solutions of linear and quadratic equations, trigonometric relationships, exponents, logarithms, and the graphs of quadratic equations.
Students who passed MAT 12, MAT 14, MAT 41, MAT 51, MAT 56, MAT 160, MAT 161, MAT 56.5, MAT 150.5 cannot take MAT 161.5.
Course Syllabus - This course covers basic algebraic and trigonometric skills, algebraic equations, and functions. Topics include: mathematical induction, complex numbers, and the binomial theorem.
Prerequisite: MAT 157 or MAT 157.5
Course Syllabus - This is an integrated course in analytic geometry and calculus, applied to functions of a single variable. It covers a study of rectangular coordinates in the plane, equations of conic sections, functions, limits, continuity, related rates, differentiation of algebraic and transcendental functions, Rolle's Theorem, the Mean Value Theorem, maxima and minima, and integration.
Prerequisite: MAT 206 or MAT 206.5
Course Syllabus - This course includes the study of several mathematical systems. The role of mathematics in modern culture, the role of postulational thinking in all of mathematics, and the scientific method are discussed. The course considers topics such as: the nature of axioms, truth and validity; the concept of number; the concept of set; scales of notation; and groups and fields.
Prerequisites: MAT 12, MAT 14, MAT 41, MAT 51 or MAT 161.5
Course Syllabus
Research and Projects
- Addressing the Availability Bias in Introductory Applied College Statistics
Publications
- Addressing Students Misconceptions About Probability during the First Years in College. , Mathematics and Computer Education. Volume 42, Number 3, pp. 180-192. Fall, 2008.
- Teachers Resources Handbook. Grade 6. Unit 8, Probability. , Houghton Mifflin Co, Boston, 2007
- Addressing Students¿ Misconceptions About Probability in an Introductory College Statistics Course: The Instructors’ Perspectives (joint publication with Annette Gourgey and Fred Peskoff)., Abstracts of the American Mathematical Society. January, 2008. Issue 151, Volume 29, Number 6, Page 317.
- When the Instructor Must Take the Back Seat, PRIMUS, Volume 17, Number 2, pp.157-166. April-June, 2007
Honors, Awards and Affiliations
- Certificates of Recognition for serving on the Advisory Board of the Teaching Learning Center. BMCC/CUNY, 2006, 2007, & 2008.
