Concordia University

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Teaching of Mathematics MTM

Note: Admissions have been suspended.

Admission Requirements

A Bachelor’s degree with a minimum GPA of 3.00, an interest in the teaching of pre-university mathematics, as well as an adequate mathematical background including courses equivalent to: a) 6 credits in statistics-probability; b) 6 credits in advanced calculus; c) 6 credits in linear algebra and d) 3 credits in differential equations or algebraic systems. Candidates must be able to demonstrate their capacity for graduate level work in some academic field, not necessarily mathematics. Candidates will normally be interviewed to ensure their suitability for the program. Applicants with a deficiency in their academic background may be required to take up to 12 undergraduate credits in addition to or as a part of the regular graduate program. Promising candidates who lack the requirements for admission may be considered after having completed a qualifying program. Applicants without teaching experience may be admitted to the program provided they satisfy the Graduate Studies Committee of their potential for teaching or for educational research.

Proficiency in English. Applicants whose primary language is not English must demonstrate that their knowledge of English is sufficient to pursue graduate studies in their chosen field. Please refer to the Graduate Admission page for further information on the Language Proficiency requirements and exemptions.

Requirements for the Degree

  1. Credits. A fully-qualified candidate is required to complete a minimum of 45 credits.

  2. Courses.
    Students may enter one of the three options below. The choice of the option, the selection of the courses and the thesis or project topic must be approved by the Graduate Program Director. Besides the courses listed in the present section, Master/Magisteriate in the Teaching of Mathematics (MTM) students may take any MAST 600 or higher level course offered in the MSc program, subject to the Graduate Program Director’s approval. Students aspiring to become College mathematics teachers upon graduation will be encouraged to take at least three MSc mathematics courses.
    1. Thesis Option: MATH 602, 647, 654 and eight additional 3-credit courses.
    2. Project Option: MATH 602, 603 and eleven additional 3-credit courses.
    3. Course Option: Fifteen 3-credit courses.
       

Academic Regulations

  1. Academic Standing. Please refer to the Academic Standing section of the Calendar for a detailed review of the Academic Regulations.

  2. Residence. The minimum residence requirement is one year (3 terms) of full-time study, or the equivalent in part-time study.

  3. Time Limit. Please refer to the Academic Regulation page for further details regarding the Time Limit requirements.

  4. Graduation Requirement. In order to graduate, students must have a cumulative GPA of at least 3.00.
     

Courses

MTM courses fall into six categories:

  1. Psychology of Mathematics Education (PME): MATH 630, 649.
  2. Didactics of Mathematics (DM): MATH 624.
  3. Information and Communication Technology (ICT): MATH 633, 634, and 639.
  4. Research in Mathematics Education (RME): MATH 641, 642, 645, and 646.
  5. Mathematics content courses (MC): MATH 601, 613, 616, 618, 621, 622, 625, 626, 627, 637, 640, and 648.
  6. Thesis or Extended Project (T/P): Seminar MATH 652; Reading courses MATH 602 and 647; Extended Project MATH 603, and Thesis MATH 654.

Each year the Department of Mathematics and Statistics offers a selection of the following courses. Courses are worth 3 credits unless otherwise indicated.

MATH 601 Topics in Mathematics
Note: The content varies from term to term and from year to year. Students may re-register for this course, provided the course content has changed. Changes in content are indicated bythe title of the course.

MATH 602 Readings in Mathematics Education I
This reading course is closely related to the project or thesis. The outcome is a section of the literature review chapter, related to the domain of research that is the focus of the project or thesis.

MATH 603 Extended Project (9 credits)
A student investigates a mathematics education topic, prepares a report, and gives a seminar presentation under the guidance of a faculty member.

MATH 613 Topics in Number Theory
Topics are chosen from the area of Number Theory.
Note: The content varies from term to term and from year to year. Students may re-register for this course, provided the course content has changed. Changes in content are indicated bythe title of the course.

MATH 616 Linear Algebra
This course is an extension of undergraduate courses in linear algebra, covering a selection of topics in advanced linear algebra (e.g. from the theory of general vector spaces, linear and multilinear algebras, matrix theory, etc.)

MATH 618 Topics in the Application of Mathematics
Topics are chosen from the area of the Application of Mathematics.
Note: The content varies from term to term and from year to year. Students may re-register for this course, provided the course content has changed. Changes in content are indicated bythe title of the course.

MATH 621 Geometry
The course offers an insight into Euclidean and Non-Euclidean geometries.

MATH 622 Abstract Algebra
The course looks at objects such as numbers, polynomials, matrices or transformations from an algebraic-structural point of view. The course may aim at proving such “famous impossibilities” as squaring the circle, duplicating the cube, trisecting an angle or solving a polynomial equation of degree 5 or more by radicals.

MATH 624 Topics in Mathematics Education
This course is an overview and critical analysis of theories and technologies of mathematics teaching. Applications of the theories to studying and/or developing teaching situations or tools for specific mathematical topics are examined.
Note: The content varies from term to term and from year to year. Students may re-register for this course, provided the course content has changed. Changes in content are indicated bythe title of the course.

MATH 625 Topology
The course develops elements of the theory of topological spaces and their transformations.

MATH 626 Analysis I
The course is an extension of undergraduate courses in mathematical analysis in the real domain (Analysis I, II; Real Analysis; Measure Theory). Students may substitute this course with any of the MAST 660-669 courses in the MA/MSc program.

MATH 627 Analysis II
The course is an extension of undergraduate courses in mathematical analysis in the complex domain (Complex Analysis I, II). Students may substitute this course with any of the MAST 660-669 courses in the MA/MSc program.

MATH 630 Topics in the Psychology of Mathematics Education
This course studies epistemological, cognitive, affective, social and cultural issues involved in mathematics.
Note: The content varies from term to term and from year to year. Students may re-register for this course, provided the course content has changed. Changes in content are indicated bythe title of the course.

MATH 633 Applications of Technology in Mathematics Curriculum Development
This course is an overview of the impact of information and communication technology on curricula, textbooks and teaching approaches.

MATH 634 Computer Software and Mathematics Instruction
This course is an overview and critical evaluation of computer software designed for use in mathematics instruction.

MATH 637 Statistics and Probability
This course discusses theoretical and applied aspects of statistics and probability. Students may substitute this course with any of the MAST 670-677 courses in the MA/MSc program.

MATH 639 Topics in Technology in Mathematics Education
This course involves the elaboration, experimentation and critical analysis of individual projects of integration of ICT in mathematics education.
Note: The content varies from term to term and from year to year. Students may re-register for this course, provided the course content has changed. Changes in content are indicated bythe title of the course.

MATH 640 Topics in Logic
Topics are chosen from the area of Mathematical Logic.
Note: The content varies from term to term and from year to year. Students may re-register for this course, provided the course content has changed. Changes in content are indicated bythe title of the course.

MATH 641 Survey of Research in Mathematics Education
This course is an overview of recent results in mathematics education research.

MATH 642 Research Methods for Mathematics Education
This course is an overview of qualitative and quantitative methods in mathematics education research.

MATH 645 Topics in Mathematics Education Research
This course is an overview of research literature on a chosen topic or issue in mathematics education.
Note: The content varies from term to term and from year to year. Students may re-register for this course, provided the course content has changed. Changes in content are indicated bythe title of the course.

MATH 646 Research Internship
Students conduct a pilot study or participate in a research project as a research assistant under the supervision of a senior researcher. The outcome is a written report of the study.

MATH 647 Readings in Mathematics Education II
The course is closely related to project or thesis writing. Its outcome is a section of the literature review chapter, focused on the student’s particular research question.

MATH 648 Topics in the History of Mathematics
Topics are chosen from the area of the History of Mathematics.
Note: The content varies from term to term and from year to year. Students may re-register for this course, provided the course content has changed. Changes in content are indicated bythe title of the course.

MATH 649 Heuristics and Problem Solving
This course examines cognitive processes, tools and strategies involved in solving mathematical problems.

MATH 652 Seminar in Mathematics Education
This course is primarily a thesis or project preparation seminar but it is open to students in the Course Option as well. The research related to students’ research projects is presented and critically evaluated.

MATH 654 Thesis (15 credits)
Students are required to demonstrate their ability to carry out original, independent research. The thesis is researched and written under the direction of a supervisor and thesis committee. Upon completion of the thesis, the student is required to defend his/her thesis before the thesis committee.

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