**MAT: Mathematics Graduate Courses**

**Course Descriptions**

Most courses are applicable to the
Master of Arts in Teaching: Mathematics degree.

Students may take any five courses from Math 531-536 to complete a Mathematics Concentration within the Master of Education degree. Note that El/MS is an abbreviation for Elementary/Middle School.

**MATH 500 Workshops (1-3 SH)**

Weekend or one week workshops are held to meet current needs of mathematics educators. Math 500 is graded S/U and cannot be counted toward a master's degree. The Math 592 versions (when offered) of the same workshops are letter graded and can be counted toward a master's degree.

**MATH 501 Action Research in Math Ed (2 SH)**

Prepares practicing mathematics teachers to study issues or problems relating to mathematics education within their classrooms, schools, or districts with supervision by an MSU faculty member. Course topics include how to interpret educational research and literature; design and implement reliable and valid action research; identify worthwhile problems; and formulate questions that can be addressed through action research.

**MATH 505 Fundamental Concepts of Advanced Mathematics (3 SH)**

The study of topics from foundational mathematics such as logic and proof, mathematical induction, set theory, relations and functions.

**MATH 507 History of Mathematics (3 SH)**

This graduate course is a survey of the history of mathematics with an emphasis on examining and solving problems that typify each historical period. While taking this course, students will (a) become familiar with the history of mathematics, (b) be introduced to historical figures who contributed to the development of mathematics, (c) outline major trends, themes, and problems that impacted the development of mathematics, (d) research the actual mathematics of different historical periods, and (e) consider how the history of mathematics can be incorporated into the teaching of mathematics. In addition to discussions, problems, and exams, students will create projects that incorporate the history of mathematics into the high school math courses they teach.

**MATH 511 Trends in Mathematics Education (3 SH)**

Exploration of topics and curriculum trends in secondary school mathematics.

**MATH 523 Prob and Stat for Sec Sch Teachers(3 SH)**

Discrete and continuous probability models. Data analysis. Statistical inference.

**Math 531: El/MS Measurement (3 SH)**

This course will concentrate on the concept of measurement. Students will use manipulatives to help demonstrate length, area, and volume relationships and derive the formulas for these measures. They will make measurements of length and area using both standard and non-standard units. Further, students will, within systems of units, work on conversions relative to weight, length, area, volume, and mass.

**Math 532: El/MS Prob Solv/Alg Reasoning (3 SH)**

The first part of this course will focus on Polya’s problem solving process. Students will be guided through the process and learn how to use assessment and evaluation tools. The second part of this course will focus on algebraic thinking. Students will learn about representing patterns mathematically, demonstrating properties of numbers both through manipulatives and symbolically, and apply their problem solving skills to algebraic problems.

**Math 533: El/MS Geometry (3 SH)**

The primary focus of this course will be the exploration of two- and three- dimensional shapes and their properties. A historical look at Euclidean geometry and constructions using the Euclidean tools of a compass and straight edge will include students relating the properties of various quadrilaterals to those constructions. Students will learn to use proper geometric notation to facilitate their learning as they explore geometry concepts illustrated by interactive applets on the Web through use of the Geometer’s Sketchpad.

**Math 534: El/MS Probability and Stats (3 SH)**

Students will be introduced to elementary grade level statistics and probability through the process of exploration and problem solving. Appropriate technology will be introduced as needed.

**Math 535: Using Technology in El/MS Math (3 SH)**

Teachers will learn how to use specific technologies and discover ways to integrate these technologies into their classrooms. Technologies that will be covered are: graphing calculator, spreadsheet, Geometer’s Sketchpad, Math Type, and other appropriate mathematical technologies.

**Math 536: Number/ Operation in El/MS Math (3 SH)**

The focus of this course will be on building conceptual understanding of mathematical operations with whole numbers, integers, and rational numbers in the form of fractions and decimals. Emphasis will be placed on the operations of addition, subtraction, multiplication, division, and powers.

**MATH 540 Geometry for Sec Sch Teachers (3 SH)**

Content, rationale, and methods for secondary geometry instruction, focusing on an axiomatic system, paragraph proofs, and logic. Includes many applications and activities using technology.

**MATH 550 Technology for Teaching Math (3 SH)**

Current and relevant technologies for K-16 mathematics education (e.g., software, curricular materials, calculators, interactive whiteboards) will be examined and explored. Issues related to the implementation of such technologies and their impact on teaching and learning of mathematics will be addressed.

**MATH 565 Calculus for Sec Sch Teachers (3 SH)**

Participants in this course will review and strengthen their understanding of calculus and its applications. Differential and integral calculus will be taught with a geometric, numeric, analytic, and verbal approach, not just a series of procedures and rules. The course will include appropriate technology and many applications. Students will discuss how the methods and content of this course are relevant to teaching and learning secondary mathematics and to the state and national mathematics standards.

**MATH 580 Algebra for Sec Sch Teachers (3 SH)**

Introduction to algebraic methods, proof, content, and the utilization of appropriate technology. There is an emphasis on functions involving topics from advanced algebra, number theory, and abstract algebra. Proofs will involve Peano’s postulates, real number field properties, and many algebraic theorems related to functions.

**MATH 589 Continuing Enrollment (1 SH)**

Required enrollment for students previously enrolled in thesis or project credits who have not completed the credits by the end of the semester enrolled. Repeatable up to 3 credits.

NOTE:
Continuing enrollment credits will not count toward the requirement for the degree and are not considered professional workshop or seminar credits. Fee required.

**MATH 590 Seminar (1-4 SH)**

Opportunity is provided to read literature in mathematics on an individual basis to meet student needs and interests.

**MATH 592 Special Topics (1-4 SH)**

A special course of study related to a specific problem or unique area of concentration relative to mathematics, offered to any number of qualified graduate students upon request.

**MATH 596 Capstone Proposal (2 SH)**

With guidance from faculty, students pursue problems in the context of their classrooms, schools, or districts which impinge on student achievement in mathematics. Students work with their faculty advisors to characterize the problems, complete reviews of relevant literature, and create action research proposals to address the problems and evaluate outcomes of the proposed interventions. Prerequisite(s): MATH 501

**MATH 597 Independent Study (1-4 SH)**

Student initiated study under the direction of a faculty advisor.

**MATH 598 Capstone Project (1-3 SH)**

With guidance from faculty, students conduct action research addressing problems in the context of their classrooms, schools, or districts which impinge on student achievement in mathematics. Students work with their faculty advisors to implement interventions, collect and analyze data resulting from the interventions, and summarize results. Findings are written up for publication and presented orally to peers at a capstone symposium. Following the presentations, students defend their projects before their graduate committees. Prerequisite(s): MATH 501 & MATH 596

**MATH 599 Thesis (2 SH)**

Individual research culminating in a thesis.