## Master of Science in Mathematics for Certified Secondary Teachers

**Program Rationale:**

The Master of Science in Mathematics provides teachers of secondary mathematics with additional content and pedagogical knowledge that will make them more effective in their profession.

Program Learning Outcomes:

Students in this program will be expected to:

- deepen their comprehension of mathematics by studying advanced topics not covered in undergraduate curriculum and thus develop the dispositions of life-long learners of mathematics;
- develop as reflective practitioners, striving for continual improvement in their teaching and student learning;
- understand current research on teaching and learning mathematics, trends in mathematics curriculum, and the effective use of technology in the teaching of mathematics;
- acquire skills necessary to conduct research in mathematics education; and
- acquire skills necessary to make creative contributions to the field, such as writing, collecting data, and developing curriculum activities.

**Course and Capstone Requirements:** |

(Plans A and C offered as options. No more than nine credits may be earned in 400-level courses.) |

General Education Electives (3 credits): |

As approved by faculty advisor |

Educational Foundations (3 credits): |

Chosen from: |

EDF 500 |
Contemporary Educational Issues |
3 |

EDF 516 |
School and Society |
3 |

EDF 524 |
Foundations of Contemporary Theories |
3 |

EDF 525 |
History of American Education |
3 |

EDF 538 |
The politics of Education |

EDF 583 |
Sociological Foundations of Education |
3 |

Secondary Mathematics Education (9 credits): |

MATH 547 |
Reflective Practice in Teaching Mathematics |

plus 6 credits chosen from: |

MATH 504 |
Topics in Mathematics 1-3 |

MATH 534 |
Techniques in Diagnosis and Remediation for the Teaching of Mathematics - K-12 |
3 |

MATH 540 |
Curriculum Problems in School Mathematics |
3 |

MATH 543 |
Secondary School Algebra with Technology from Advanced Viewpoint |
3 |

MATH 544 |
Secondary School Geometry with Technology from an Advanced Viewpoint |
3 |

MATH 580 |
Directed Study in Matematics |
1-3 |

Mathematics and Statistics Content |

Courses (12 credits): |

No more than six credits in courses with the STAT designation. One course must be STAT 453 unless this course was taken as an undergraduate. Courses to be chosen from MATH 421, 440, 468, 469, 470, 477, 491, 515, 516, 519, 520, 523, 525, 526, STAT 453, 455, 567 |

Research in Mathematics Education (3 credits): MATH 598 |

Capstone: |

Plan A: 33 credits consisting of 30 credits from the above plus MATH 599 (3 credit thesis) |

Plan C: 33 credits consisting of 30 credits from the above plus MATH 590 (3 credit-Special Project) |

Note: Once a graduate student has elected one of the two plans, A or C, any change to the other plan must be made prior to the completion of 21 graduate credits and requires the approval of the student's advisor and the dean, School of Graduate Studies.

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## Master of Arts in Mathematics-General

**Program Rationale:**

The Master of Arts in Mathematics-General provides an abstract introduction to mathematics at an advanced level. This program is suitable for students wishing to improve their mathematics backgrounds before applying to doctoral programs, for candidates interested in teaching at the community-college level, and for high school teachers looking both to broaden and deepen their understanding so as to advance their teaching.

Program Learning Outcomes:

Students in this program will be expected to:

- deeply understand analytic arguments, using such common notions as epsilon/delta, infinite sums, and limits, as well as considerations for more general spaces than the real numbers, such as spaces of functions;
- develop a basic understanding of measure theory and use it to study the Lebesgue integral;
- deeply understand basic algebraic and discrete notions, such as facts about vector spaces and counting arguments, and expand this to include ideas about rings and fields;
- develop a basic understanding of Galois theory;
- follow and create analytic proofs involving abstract metric spaces;
- follow and create algebraic proofs, with an understanding of groups, rings, and fields; and
- independently investigate advanced topics in mathematics and present results to others in a clear way.

Course and Capstone Requirements

(30 credits):

Requirements (18 credits):

MATH 515 Abstract Algebra I 3

MATH 516 Abstract Algebra II 3

MATH 519 Principles of Real Analysis I 3

MATH 520 Principles of Real Analysis II 3

MATH 523 General Topology 3

MATH 526 Complex Variables 3

Electives as approved by faculty advisor (12 credits). These may include 3 credits for the thesis for a student electing Plan A. No more than 9 credits may be earned from 400-level courses.

Capstone Experience:

Plan A: Thesis (MATH 599, 3 credits). Students electing this option must also pass one qualifying examination* in an area not related to the thesis topic.

Plan B: Comprehensive Exam. Students selecting this option must pass two of three qualifying examinations* (in the areas of algebra, analysis, or topology) and also give oral presentations on topics approved by their advisors.

* Students must apply for qualifying examinations after completing appropriate coursework with the approval of their advisors. Applications are available in the School of Graduate Studies or on the web at www.ccsu.edu/grad under Graduate Forms (Degree Candidacy/Non Capstone Qualifying Form).

Note: Applicants to the program are expected to have completed the equivalent of MATH 152, 221, 222, 228, 366, and 377 in addition to any necessary prerequisites for courses required in the planned program of graduate study.