MATH 523 - Foundations of Mathematics

Institution:

Bellarmine University

Subject:

Description:

This course is an investigation at the master's level of topics from the P-5 mathematics curriculum.It is not a study of how to do mathematics, but why the way we do mathematics works. The NCTM standards guide the course through a study of problem-solving, sets, functions, ancient numeration systems and numeration in various bases. The four basic operations of addition, subtraction, multiplication, and division are thoroughly examined. The counting numbers are extended to include fractions, decimals and negative numbers. In addition, the course addresses topics in number theory including the study of primes, divisibility, the LCM and GCF. Next, an investigation of ratios, rates, and proportions leads to percentages, uncertainty, and chance. This is followed by the study of basic statistics emphasizing measures of central tendency, variance, and ways of organizing data. Next, the study of geometry begins with examination of the basic shapes of one, two, and three dimensions and is followed by an investigation of the basic ways these shapes can be transformed: translation, reflection, and rotation. The study of basic measurement including length, area, surface area, and volume completes the content of this course. Enrollment restricted to graduate Education majors. As required.

Credits:

4.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.bellarmine.edu

Phone Number:

(502) 272-8263

Regional Accreditation:

Southern Association of Colleges and Schools

Calendar System:

Semester

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