The Master of Arts for Teachers of Mathematics (MAT) degree is for licensed teachers of secondary mathematics and is not intended for individuals seeking teacher certification in mathematics.

This graduate degree program requires three consecutive summers to complete, plus time spent on a project during one academic year, following the first or second summer. Teachers can enter the program any summer, as courses are repeated every third year. Classes meet in the mornings from mid-June until the second week of August, so as not to conflict with secondary school calendars.

The courses emphasize mathematical content rather than methods of teaching mathematics. Although specific prerequisites for the courses are minimal, teachers are expected to have completed several quarters of calculus and a linear algebra or matrix methods course. The use of appropriate technology is a component of the program. The courses are also open to those who want them only for enrichment.

Partial University Graduate Scholarships (tuition remission) are available on a competitive basis for all students in the MAT program. The application is on-line at: http://grad.uc.edu/admissions.html. Applications requesting fjnancial support are due no later than April 15 prior to the first summer. Applicants pursuing the MAT degree receive priority registration. Teachers not pursuing the MAT degree who wish to take some or all of the courses need not formally apply, but may register as a non-matriculating student through the Registrar's Office.

See below for a brief summary of specific requirements:

- Degree candidates must have teacher certification
- 30 semester-credits of approved mathematics courses with a GPA of 3.0 or higher
- The standard load is two courses each summer term for a total of 9 credits each year, for a total of 30 credits
- In addition, students register for MATH7083 (MAT Project) during their second or third summer
- An oral presentation of the MAT project

See **Course Descriptions** for information on the content of required courses. Consult the **Graduate Student Handbook** for further details of the program.

#### Schedule by Summers

2016 Algebra and Statistics |
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MATH7071 Algebra and Number Theory I (3 gr credits) |

Properties of the Integers, Rationals, Reals, Complexes, and Integers mod m. Solutions of linear and quadratic equations. Division and Euclidean algorithm. Prime factorization. Number theoretic functions, representations of numbers. |

MATH7072 Algebra and Number Theory II (3 gr credits) |

Theory of primes and factorization in Euclidean domains, especially the Gaussian Integers and polynomial rings over subfields of Complexes. Rational and irrational numbers, constructable numbers. |

MATH7073 Probability and Statistical Inference (2 gr credits) |

Probability axioms and finite probability spaces. Combinatorics. Binomial and Normal distributions. Design of statistical studies and methods of statistical inference. |

MATH7074 Technology for Statistics (1 gr credit) |

Spreadsheets and statistical packages for handling and exploring data, doing simulations, and demonstrating concepts of statistics. Project-oriented with cooperative learning component. |

2017 Geometry |
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MATH7077 Linear Algebra for Geometry (2 gr credits) |

Study of vectors and linear transformations from a geometric viewpoint; the algebra of matrices. Focus is on dimensions 2 and 3; isometries and symmetry groups. |

MATH7078 Technology for Geometry (1 gr credit) |

Technology for teaching geometry, including: dynamic geometry programs such as GeoGebra; computer graphics; and technical word processing. Design of lessons that use technology. Project-oriented with cooperative learning component. |

MATH7075 Geometry I (3 gr credits) |

Axiomatic and transformational geometry, both neutral and Euclidean. |

MATH7076 Geometry II (3 gr credits) |

Transformational geometry. Topics in analytical geometry. |

2018 Analysis |
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MATH7082 Technology for Calculus (1 gr credit) |

Introduction to the use of technology for teaching analysis (pre-calculus and calculus). Graphing calculators, symbolic algebra programs. Design and delivery of lessons that use technology. Project-oriented with cooperative learning component. |

MATH7079 Analysis I (3 gr credits) |

Theory of calculus of one variable. Continuity and differentiability. |

MATH7080 Analysis II (3 gr credits) |

Theory of calculus of one variable. Riemann integral and infinite series. |

MATH7081 Mathematical Models (2 gr credits) |

Development and analysis of mathematical models of discrete and continuous phenomena that illustrate the applications of ideas form analysis. |