# Hong Yuan

Assistant Professor

Mathematics

EMAIL: hyuan@bmcc.cuny.edu

Office:

Office Hours: Wednesdays 12-1 PM, Fridays 12-2 PM

Phone: +1 (212) 346-8562

Hong Yuan taught college mathematics courses and researched mathematics education in Shanghai. She published more than ten papers on mathematics education and several textbook chapters on calculus and on elementary mathematics education in China. Currently, her special research interest includes integrating cross-culturally the best practices in Chinese and American mathematics teaching, learning, and teacher professional development to help our students succeed.

## Expertise

Mathematics Education and Mathematics Teacher Education

## Degrees

- Ph.D. Columbia University, Mathematics Education,
- M.S. Shanghai Normal University, Mathematics Education,
- B.S. Shanghai Normal University, Mathematics / Mathematics Education,

## Courses Taught

- This is a course in arithmetic skills and the rudiments of algebra. Topics covered include whole numbers, fractions, decimals, percents, proportions, signed numbers, and solving simple linear equations.
Pre/Co-Requisites: Co-Requisite: ESL 062. Students who score less than 26 on the COMPASS Pre-algebra exam are eligible to take MAT 008.

Course Syllabus - 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 developmental course provides an alternative and accelerated pathway to the college-level liberal arts mathematics courses. The course will focus on applications of numerical reasoning to make sense of the world around us. Applications of arithmetic, proportional reasoning and algebra are emphasized. Lessons focusing directly on supporting students??A?A? computational skills are embedded in the course according to relevance to the following topic. This course cannot be used as a prerequisite for MAT 056 and is not suited for Science, Technology, Engineering or Math (STEM) students.
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.
Prerequisite: ESL 62
Corequisite: ACR 94

Course Syllabus - This developmental course provides an alternative and accelerated pathway to the college-level liberal arts mathematics courses. The course will focus on applications of numerical reason to make sense of the world around us. Applications of arithmetic, proportional reasoning and algebra are emphasized. This course cannot be used as a prerequisite for MAT 056 and is not suited for Science, Technology, Engineering or Mathematics (STEM) students.
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 topics in intermediate algebra and emphasizes problems and applications in respiratory therapy. It includes such topics as: algebraic representation, factoring, approximate numbers, significant digits and scientific notation, first and second degree equations with applications, ratio and proportions, square roots, radicals and exponents, logarithms, graphing linear equations, vectors and the metric system.

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 56 or MAT 56.5

Course Syllabus - 4 CRS.8 HRS.NULL LAB HRS.MAT 206.5 (Intermediate Algebra and Precalculus (Same as MAT 206))
- This course integrates Intermediate Algebra and Trigonometry with Precalculus. Topics include properties of real numbers, polynomials and factoring, equations and inequalities in one and two variables, systems of linear equations and inequalities, rational expressions and functions, rational exponents and roots, quadratic functions, exponential and logarithmic functions, and trigonometric functions.
Prerequisite: Elementary Algebra (MAT 51 or MAT 12) or the equivalent with departmental approval or placement into Intermediate Algebra (MAT 56)

*Please note: Tuition for this corequisite course is charged by the equated credit (hours) not per credit.*

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 provides an introduction to the concepts of formal integration. It covers the differentiation and integration of algebraic, trigonometric, and transcendental functions. Topics include the definite integral, the antiderivative, areas, volumes, and the improper integral.
Prerequisite: MAT 301

Course Syllabus

## Research and Projects

## Publications

- Richard, J. W. & Yuan, H (2014). Hua Loo-Keng and Hermann Weyl in Yau, S. T., et al. (Eds), Mathematics and Humanities (shuxue yu renwen) Book Series. 130-137,Higher Education Press and International Press of Boston
- Yuan, H & Yi, H (2012) Comparison of mathematics courses in pre-service elementary education programs in China and the United States in Xu, W. (Ed.), Studies of Mathematics Curriculum and Teaching:Elementary School Volume(1979-2009), 507-513,Nanjing Normal University Press, Nanjing, China

## Honors, Awards and Affiliations

NSF ICME-14 (14th International Congress on Mathematical Education) Travel Grant Award in 2020

CUNY-BMCC Faculty Development Grant Award in 2020

National Council of Teachers of Mathematics (NCTM) member

American Mathematical Association of Two-Year College (AMATYC) member

Mathematical Association of America (MAA) member

American Educational Research Association (AERA) member