Master Sciences in

Ph. D. in

Teaching Mathematics at Secondary Level Program

The master degree (MS) in the Teaching of Mathematics at the Secondary Level is focused on the mathematical content and in its deep understanding. In the traditional programs of preparation of teachers, greater importance is given to the methodology of teaching than to the dominion of content. Our program is designed to provide a balance formation between Mathematics and Teaching and to incorporate as much mathematical theoretical knowledge as well as pedagogical aspects that will allow the teacher to be effective in teaching and knowledge. This program pretends to form leaders in Mathematics Education at the Secondary Level and to be an alternative for the professional improvement of active teachers.

The specific objective of the program is the formation of professionals, capable of teaching mathematics at the preuniversity level by using modern methodologies and technologies; capable of carrying out educational research that will allow them to participate in projects and improve continuously their teaching skills. The graduates from this program will be capable to work in projects and extra curricular activities that complement the teaching of mathematics, in agreement with technological and curriculum changes. One of the goals of the program is to form leaders in the teaching of mathematics in Puerto Rico and help current mathematics teachers keeping them updated about new technologies and methodologies.

Admission requirements

  • A bachelor’s degree (BS), or an equivalent degree.
  • Have functional knowledge of Spanish and English language.
  • The applicant must satisfy one of the following GPA criteria on studies (on a four-point scale):
    • Undergraduate grade-point average (GPA) of 2.50 or better.
    • Undergraduate specialization grade-point average (GPA) of 2.50 or better.
    • Have approved 60 credits in the last four semesters of the bachelor’s degree.
  • The applicant must have a Puerto Rico high school mathematics teacher certification or instead have 18 credits in mathematics, including advanced courses and 9 credits in education. Candidates are expected to have approved undergraduate courses in statistics, geometry, calculus, linear algebra, abstract algebra or number theory.

Academic program (4 semesters – 36 credits)

First

EDMA6006 – Geometry

Discussion of topics in plane, analytical, and transformational geometry using a constructivist approach with emphasis on the development of problem-solving abilities. Discussion of methodologies for the teaching of these topics in the classroom will be included.

EDMA6015 – Set Theory and Logic

Study of set theory and logic including propositional calculus, algebra of finite, infinite and countable sets, well-ordered sets, and number systems. Emphasis on the development of abilities to do mathematical proofs.

EDMA6025 – Calculus Theory

Detailed study of the fundamental concepts of the theory of calculus of functions of one variable. Discussion of limits, continuity, derivatives and its applications, and integrals and their applications. The theory and its relevance to the teaching of mathematics at the high school level will be emphasized.

Second

EDMA6105 – Problem Solving

Formulation and comparison of strategies and techniques for problem solving in diverse areas of mathematics. Problems will be selected in order to introduce important mathematical concepts and motivate high school students.

EDMA6991 – Topics in Mathematics Education

Selected topics in mathematics education and related areas in the mathematics curriculum at the high school level.

EDMA6992 – Topics in Number Theory

Special topics oriented toward the exploration of problems and techniques of number theory that will be used for projects of high school students.

Third

EDMA6205 – Statistics

Study of the fundamental concepts of probability, random variables, sampling distributions, inferential statistics, and simple and multiple linear regression. The statistical principles that guide the planning, design, and analysis of an experiment will be discussed. The design of an experiment in the area of mathematics education is required.

EDMA6215 – Technology in Mathematics Teaching

Study of the use of technology in the mathematics curriculum at the high school level and its impact in the classroom. The relation between the integration of technology and the students mathematical achievement will be analyzed.

Elective – Course from outside of specialization area

The course must be related to mathematics and should be chosen in a coherent way. These should be of level 5000 or higher. It is recommended that student choose these courses with the help of their advisor.

Fourth

EDMA6225 – Modern Algebra

Rigorous study of the algebraic structure of number systems and algebras of polynomials. Generalization of numerical systems to structure to structure of groups, rings and fields. Emphasis on the application and relevance of algebraic structures in the teaching of mathematics at the high school level.

EDMA6993 – Project in Mathematics Education

Development of a project in mathematics education. An oral and written presentation of a report is required.

Elective – Course from outside of specialization area

The course must be related to mathematics and should be chosen in a coherent way. These should be of level 5000 or higher. It is recommended that student choose these courses with the help of their advisor.