Mathematics Courses

MG 5000 Mathematics Curriculum Implementation - 1-4 graduate credits
Topics in this course vary, but will focus on the implementation of standards-based curriculum materials or other recently developed curriculum materials. Also examines issues in contemporary mathematics education. Students may repeat the course with a different topic as its focus with the permission of the department chair.


MG 5010 Seminar in Mathematics Education: (Topic Stated for Each Offering) - 2-4 graduate credits
The topic for the course is selected by the professor from current developments and issues in mathematics education, such as Mathematics for Exceptional Children, Piaget's Research, Mathematics Assessment, and Algebra in the K-12 Curriculum. Course may be repeated on a different topic with permission of the department chair.


MG 5100 Teaching School Mathematics in the 21st Century - 3 graduate credits
This course will provide concise, current, and meaningful descriptions of what it takes to be an effective teacher of mathematics in today's classroom. The course content offers a balance of theory and practice, including a wealth of examples and descriptions of student work, classroom situations, and technology usage to assist any teacher in visualizing high-quality mathematics instruction. The course combines up-to-date technology and research to help teachers expand their grasp of curriculum, teaching, and assessment issues as they relate to secondary and middle school mathematics.


MG 5710 Topics in Algebra for Elementary/Middle School Teachers - 2-4 graduate credits
Topics for this course can vary, but may focus on one or more of the following: techniques and content for developing algebraic thinking at the elementary and middle school levels; exploration of underlying themes in algebra; patterns, rates of change, linear, quadratic and exponential functions; generalization and equality. Students may repeat the course with a different topic as its focus with permission of the department chair.


MG 5720 Topics in Number Theory for Elementary/Middle School Teachers - 2-4 graduate credits
Topics in this course vary, but may focus on one or more of the following topics traditionally found in a K-8 mathematics curriculum: primes and composites, the LCM and GCD, the Euclidean algorithm, divisibility and modular arithmetic. Other topics may include perfect, abundant and deficient numbers, complex numbers and mathematical induction. A standard text on the topic will be used when appropriate. Students may repeat the course with a different topic as its focus with the permission of the department chair.


MG 5730 Topics in Discrete Math for Elementary/Middle School Teachers - 2-4 graduate credits
Topics in this course vary, but may focus on one or more of the following: logic, proof, set theory and Venn diagrams, algorithmic thinking, Boolean Algebra, mathematical induction, recursion relations, graph theory and networking, and relating those ideas to teaching discrete mathematics in grades K-8. Students may repeat the course with a different topic as its focus with the permission of the department chair.


MG 5740 Topics in Geometry for Elementary/Middle School Teachers - 2-4 graduate credits
Topics for this course can vary, but may focus on one or more of the following: analytic and transformational geometry, properties of plane and solid figures, similarity, tessellations, fractals, projective geometry and geometry connections with the physical world. Exploration of geometric concepts may be done via hands-on activities, computer software or calculators. Students may repeat the course with a different topic as its focus with permission of the department chair.


MG 5750 Topics in Statistics/Probability for Elementary/Middle School Teachers - 2-4 graduate credits
Topics for this course can vary, but may focus on one or more of the following: techniques and content for teaching statistics and probability at the elementary and middle school levels; organizing and displaying university data; measures of central tendency, stem and leaf; box and scatter plots, regression analysis; and empirical and theoretical probability. Students may explore ideas through hands on activities, computer software, or graphing calculators. Students may repeat the course with a different topic as its focus with the permission of the department chair.


MG 5760 Topics in Mathematics for Elementary/Middle School Teachers - 2-4 graduate credits
Topics for this course can vary, but may focus on one or more of the following ideas: problem solving, logic and proof, set theory and Venn diagrams, calculus notions, number systems, and mathematical modeling. A standard text on the topic will be used when appropriate. Students may repeat the course with a different topic as its focus with the permission of the department chair.


MG 5810 Topics in Algebra for Middle/Secondary School Teachers - 2-4 graduate credits
Topics for this course can vary, but may focus on one or more of the following: techniques and content for teaching algebra at the secondary level based on national and state recommendations, standards-based materials; relations and function; data analysis and curve fitting; sequences and series; precalculus concepts, chaos and fractals: groups, rings and fields. Students may repeat the course with a different topic as its focus with the permission of the department chair.


MG 5820 Topics in Number Theory for Middle/Secondary School Teachers - 2-4 graduate credits
Topics in this course vary, but may focus on one or more of the following topics, which are traditionally found in the middle/secondary mathematics curriculum, such as prime numbers, mathematical induction, the Euclidean algorithm, divisibility and complex numbers. Other topics explored may include Peano's Postulates, Fermat's Last Theorem and the Well-Ordering Principle. A standard text on the topic will be used when appropriate. Students may repeat the course with a different topic as its focus with the permission of the department chair.


MG 5830 Topics in Discrete Mathematics for Middle/Secondary School Teachers - 2-4 graduate credits
Topics in this course vary, but may focus on one or more of the following: logic, proof, set theory and Venn diagrams, algorithmic thinking, Boolean Algebra, mathematical induction, recursion relations, graph theory and networking, and relating those ideas to teaching discrete mathematics in grades 7-12. Students may repeat the course with a different topic as its focus with the permission of the department chair.


MG 5840 Topics in Geometry for Middle/Secondary School Teachers - 2-4 graduate credits
Topics for this course can vary, but may focus on one or more of the following: history of Euclidean and non- Euclidean geometry, Euclidean geometries, non-Euclidean geometries, Euclidean geometries in the plane, polyhedra, analytic and transformational geometry, projective geometry, fractals, geometry in the real world, and topology. Investigations may use computer software and Internet resources. Students may repeat the course with a different topic as its focus with permission of the department chair.


MG 5850 Topics in Statistics/Probability for Middle/Secondary School Teachers - 2-4 graduate credits
Topics for this course can vary, but may focus on one or more of the following: techniques and content for teaching statistics and probability at the secondary level; organizing and displaying univariate data, stem and leaf; box and scatter plots; regression analysis, linear programming, random sampling; confidence intervals and tests of significance; experimental design; discrete and continuous probability functions; and experimental and theoretical probability. Students may explore these ideas through hands-on activities, computer software, or graphing calculators. Students may repeat the course with a different topic as its focus with the permission of the department chair.


MG 5860 Topics in Mathematics for Middle/Secondary School Teachers - 2-4 graduate credits
Topics for this course can vary, but may focus on one or more of the following ideas: problem solving, logic and proof, set theory and Venn diagrams, topology, real analysis, complex analysis and mathematical modeling. Standard text on the topic will be used when appropriate. Students may repeat the course with a different topic as its focus with the permission of the department chair.


MG 5870 Topics in Calculus for Secondary School Teachers - 2-4 graduate credits
Consists of topics from the study of calculus, advanced calculus and/or the applications of calculus for the purpose of providing some insight into the importance and use of calculus. With the permission of the Mathematics Department chair, the course may be repeated for credit if the theme and/or topics change.


MG 5910 Independent Study - 1-4 graduate credits
An individual study project determined to be of value to students and the Mathematics Department. Students present a talk concerning some portion of their study to a department colloquium during the term. Consent of a faculty supervisor, department chair and the Associate Vice President is required.


MG 5960 Mathematics Teaching Internship - 1-9 graduate credits
This course is the culminating field-based teaching experience for teacher certification students in the Master of Education (MEd) in mathematics or Post Baccalaureate, Middle or Secondary Education programs. Students must have completed early field-based experiences and all coursework for the certification, including any required undergraduate competencies, before taking this course. Teacher candidates pursuing an internship will gradually assume responsibility for a full range of teaching activities encountered in a school situation. Internship provides an opportunity for demonstrating the appropriate professional skills, attitudes and dispositions essential for successful teaching. The teaching field experience is conducted under the supervisory guidance of mentor teacher and university supervisor. An online seminar compliments the experience. Certification candidates who are not pursuing the M.Ed. must have submitted passing scores on the Core Academic Skills for Educators to the College of Graduate Studies office before enrolling. All candidates who will be required to take Praxis II for NH Certification must make arrangements for that testing independently. Prerequisite(s): Completion of all other program requirements for certification by the beginning of the internship semester; permission of the Coordinator of Teacher Certification and Clinical Experiences; and Mathematics Department Program Coordinator. Prior to registering, students must meet with James Wenhart (jcwenhart@plymouth.edu) for Seminar One, in the College of Graduate Studies, and contact the instructor of this course to discuss course requirements. A Placement Confirmation Form must be submitted to: teacher_cert@plymouth.edu prior to the student teaching term.

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