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Courses Taught at UTRGV

MATH 1350 Fundamentals of Mathematics I

​This course is designed for students seeking teacher certification from early childhood through eighth grade. Topics includes sets, numeration systems, and the development of special number sets (whole, integers, rationals, and reals) with an emphasis on problem solving and the use of manipulatives.  

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MATH 1351 Fundamentals of Mathematics II

This course is designed for students seeking teacher certification from early childhood through eighth grade. Topics include probability, statistics, geometry, and measurement with an emphasis on problem solving and the use of manipulatives.

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MATE 3304 Fundamentals of Algebraic Structures

This course is intended for middle school mathematics teacher certification students. Topics include meaningful learning of concepts and properties of relations, functions, binary operations, groups, rings, and fields, using technology when appropriate.

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MATE 3313 Fundamentals of Mathematics History / MATH 3326 History of Mathematics (Faculty Led Study Abroad)

This course is a study of the historical development of ideas that shape modern mathematical thinking. Emphasis is placed on mathematical development and solving problems.

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MATE 3314 Fundamentals of Mathematical Structures and Processes

This course is intended for middle school mathematics teacher certification students. Topics include concepts, principles, skills, proofs, and applications of logical, axiomatic, and algorithmic mathematical structures and processes.​

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MATE 4423 Advanced Studies in Secondary Mathematics, Spring 

This course is intended for secondary mathematics teacher certification students. It examines connections of secondary mathematics content and processes to logical and axiomatic structures in modern geometry at the van Hiele model levels of deduction and rigor. It also examines connections of secondary mathematics content and processes to numerical and algebraic structures in modern algebra and Usiskin's characterization of algebra.

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MATH 4390 Mathematics Project

Students will complete a major mathematical project and will communicate its results in oral and written form. Students will also take comprehensive test from the Mathematics core courses.

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MATH 6310 Mathematics Teaching and Learning

This course examines issues, trends and research related to the teaching/learning of secondary school mathematics. Specific topics will vary, but could include: technology in the classroom, mathematical problem solving and the use of applications in the teaching of mathematics. 

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MATH 6328 Special Topics in Mathematics Teaching: Mathematics for Teachers

This course aims to provide mathematics teachers and college instructors with an opportunity to study key topics in advanced mathematics and to apply the topics to their mathematical knowledge and practice for teaching secondary school mathematics and lower-level college mathematics such as college algebra, pre-calculus, calculus, and introductory statistics. This course consists of three modules based on subject areas in mathematics at the graduate level: Abstract Algebra, Analysis, and Probability/Statistics.

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MATH 6391 Master’s Project

Individual work or research on advanced mathematical problems conducted under the direct supervision of a faculty member.

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MATH 7100 Thesis Extension

Individual work or research on advanced mathematical problems conducted under the direct supervision of a faculty member.

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MATH 7300 Thesis I

Individual work or research on advanced mathematical problems conducted under the direct supervision of a faculty member.

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MATH 7301 Thesis II

Individual work or research on advanced mathematical problems conducted under the direct supervision of a faculty member.

Courses Taught at Virginia Tech

MATH 1225 Calculus of a Single Variable

​Calculus course covering techniques of differential and integral calculus for functions of one variable. Constitutes the standard first-year mathematics courses for science and engineering.  Topics include limits, continuity, differentiation, transcendental functions, applications of differentiation, and introduction to integration. 

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MATH 2114 Introduction to Linear Algebra​

Introductory Linear Algebra course covering vector and matrix algebra systems of linear equations, linear equations, linear independence, bases, orthonormal bases, rank, linear transformations, diagonalization, and implementation with contemporary software. 

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MATH 2644 Mathematics Tutoring

​An introduction to mathematics tutoring. Course activities include the development of listening and questioning skills, assessment of a student's mathematical difficulties, and an exploration of teaching and learning processes. In a weekly journal, students reflect on their tutoring experiences to develop and refine teaching goals and skills. A concurrent mathematics tutoring experience is required.

Teaching

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