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Mathematics (7-12)

  • Grade Levels:
  • Credits:
    (4 terms)
  • Degree:
    Master of Education
  • Program Approved:
    PR Council of Education

Program Description

The Mathematics program prepares students to teach mathematics at the secondary level (7-12). Students learn the concepts, language, and procedures of mathematics and develop competence in mathematics as well as an interest in applying the discipline to the world around them. The program is based on the successful student-focused curriculum which links theory and practice in a cooperative learning environment. Graduates are career-ready, technologically savvy, and culturally competent to advance social justice causes.

Learning Outcomes

Teacher candidates will understand and apply mathematical problem-solving processing and construct rigorous mathematical arguments. They will understand how mathematics is learned and taught effectively, supporting positive attitudes towards the discipline. They will establish connections between ideas in mathematics and other fields. They will use diverse representations to communicate mathematical ideas and deepen students’ understanding. They will use technology as an essential resource for mathematics. They will develop fluency in mathematical computations, understand the relationships between amounts, and will use measurement tools and concepts, spatial visualization, and geometric modeling. They will understand data analysis, statistics, and probability. For intermediate and upper levels, they will also be able to understand the concepts, techniques, and applications of calculus and discrete mathematics.  Learning is personalized through independent projects that help to prepare the educator for the profession.


The program is ideal for: a) Adults who want to work with and help youngsters and adults learn the language of mathematics; b) current teachers who want to add mathematics as a new area of study; c) those who want to become National Board Certified mathematics teachers, specialist trainers, and mathematics coordinators/directors; d) non-mathematics majors who want to earn a highly qualified title to their academic experience to enhance and broaden their teaching careers; and e) career changers who want to pursue a more meaningful career working with youngsters and adults. Mathematics teachers at all school levels continue to be in high demand nationally, and individuals coming from careers in business, engineering, finance, and the military are successful when relating mathematics to the real world where they worked for many years.
Program for recertification by the Puerto Rico Department of Education. Prior valid Puerto Rico teacher certification in another area required.


For more information, please contact Admissions at 1-800-829-4723.


All classes are taught in Spanish.

First Required Course

According to the student's academic background in mathematics, the student will begin the master's program with one of the following courses. The academic director will decide which course each student will take.

Arithmetic to Algebra: Developing Patterns and Ideas (K-8)
MAT 603 3 credit(s)
This course explores the relationship between the study of arithmetic and of algebra in grades K-8. Teachers explore selected mathematical concepts at an adult level and discuss how children develop an understanding of it. They explore ways to facilitate classroom learning, and effective activities and materials that enhance learning of algebraic concepts and skills. They learn how to use vertical acceleration to connect arithmetic to algebra.
College Algebra
MAT 607 3 credit(s)
This course focuses on the major components of a college level course in algebra: real, rational, and irrational numbers; linear, radical, and quadratic equations and inequalities; functions and graphs; polynomial, rational, exponential, and logarithmic functions; conic sections; systems of equations and inequalities; and sequences and series. Pre-practicum hours of directed field-based training required.
Discrete Mathematics
MAT 613 3 credit(s)
Prerequisites: MAT607 & MAT 609 or program chair’s approval. This course is designed to cover the major components of discrete mathematics by studying the connections among mathematics topics and real-life events and situations, emphasizing problem solving, mathematical reasoning, and communications. Major topics include: counting and number systems; combinatorics; codes; recurrence relations; graphs and networks; and matrix operations. Pre-practicum hours of directed field-based training required.
Subsequent Courses
Technology in Mathematics Learning & Teaching (K-12)
MAT 605 3 credit(s)
Prerequisites: MAT607, 609, 611 & 613 or program chair’s approval. This course provides teachers with a strong foundation in effectively using technology in mathematics classrooms, K-12. They develop and implement comprehensive lessons for teaching mathematical concepts and skills using calculators, graphing calculators, computer graphing, algebra and geometry software, and internet resources. This course makes educational technology an integral component of the teaching, learning, and assessment of mathematics instruction and learning. Pre-practicum hours of directed field-based training required.
Calculus I
MAT 611 3 credit(s)
This course focuses on trigonometric and calculus concepts by providing numerical, graphical, and algebraic approaches for a clear understanding and mastering of the material. Course activities are placed in a context of real-world problems which enable students to create mathematical models that will help them understand the world in which they live. Major topics include: continuity, limits’ derivative of a function, anti-differentiation, definite integral, and the Fundamental Theorem of Calculus. Prerequisites: MAT 607 and MAT 609 or program chair’s approval.
Calculus II
MAT 631 3 credit(s)
This course begins with a thorough review of the Calculus I. It then proceeds to cover integration techniques in some depth. This will include integration-by-parts, u-substitution, and trigonometric-substitution. Power series and their applications are covered as well. Prerequisite: MAT 611.
Teaching Mathematics for the Secondary Level
MAT 604 3 credit(s)

Study of math curriculum content, methods, strategies and activities for teaching at the secondary level, according to Puerto Rico Department of Education current regulations. The course also includes the analysis of the new models based on the recent research in the teaching.

Probability and Statistics
MAT 633 3 credit(s)
Prerequisite: MAT 613. This course focuses on how probability and statistics can reveal a more complete picture of the world, by emphasizing concepts and applications from a wide range of fields. Major topics include: concept of sample space; descriptive measures; probability and sampling distributions; estimation and hypothesis testing; analysis of variance; correlational analysis; regression analysis; experimental design; modeling; and decision criteria. Pre-practicum hours of directed field-based training required.
Number Theory
MAT 625 3 credit(s)
This course focuses on integers and their application in a technology-rich world. Major topics include: prime numbers, Diophantine equations, congruences, quadratic-residues, order of a number mod p, Fermat’s Little Theorem, Euler’s Theorem, and Gauss’s Lemma. Applications to check-digits and encryption covered as well. Prerequisite: MAT 611.
Abstract Algebra
MAT 627 3 credit(s)
This course focuses on why no formula solution to the quintic equation is possible by presenting all the concepts necessary for the construction of Galois Theory. This includes the study of finite groups, fields, and field extensions. Consideration is also given to various morphisms; as well a rings and integral domains. Some time is spent on classical algebra including exact solutions to the cubic and quartic polynomials. Prerequisite: MAT 607 or program chair’s approval.
Non-Euclidean Geometry
MAT 629 3 credit(s)
Prerequisite: MAT 609. This course reviews a variety of approaches to the axiomatic developments of Euclidean plane geometry; followed by a treatment of non-Euclidean geometries, and the geometric properties of transformations, particularly isometries. Pre-practicum hours of directed field-based training required.
Applied Mathematics
MAT 635 3 credit(s)
This course focuses on major areas of applied mathematics. This includes matrix theory, differential equations and Fourier analysis. Under matrix theory, linear transformations and diagonalization are covered in some depth, and the Cayley-Hamilton Theorem is proved. Under differential equations, linear versions are explored using an operator approach which motivates development and application of Laplace transforms. Finally we cover Fourier series after an advanced review of trigonometry. Prerequisites: MAT 611 and MAT631 or program chair’s approval.

Senior Instructor

Adjunct Instructor


  • Admission Test:

    No standardized graduate school tests required for admission into non-licensure programs.

  • Admissions Office:
  • Application Form:
  • Application Fee:
    $50, nonrefundable ($100 for international students; $100 for EdD)

Program Requirements

Prior valid Puerto Rico teacher certification in another area required.

School Requirements

See Admissions Requirements for School of Education


State Health Requirements

The Massachusetts Health Department and Cambridge College require the following of students in Massachusetts:

Immunizations – All students in Massachusetts are required to get certain immunizations before you can register for your first term. See form

Health Insurance – In Massachusetts, undergraduate students taking nine or more credits/term and graduate students taking six or more credits/term must enroll in the College’s health insurance plan. Students who have insurance with comparable coverage may request a waiver. See information and enroll or waive.

International Students 

International students are accepted at Massachusetts location only, and need to provide supplemental documentation:

  • Official demonstration of English language proficiency
  • Supplemental documentation for issuance of I-20
  • International transcripts, evaluated by an accepted evaluation service

Transfer Credit

Graduate program applicants, please complete the transfer credit request form if you wish to have prior course work evaluated for transfer. Learn more.

Undergraduate program applicants, once you are accepted, your official transcripts are evaluated for transfer credit.



  • Credits:
  • Cost per credit hour:
  • Application Fee:
    $50, nonrefundable ($100 for international students; $100 for EdD)

Note: Rates are as of September 2018, and are subject to change without notice. Rates apply to all students, unless otherwise noted.

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