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Course Criteria
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5.00 Credits
4 (4 + 0) Prerequisite: MTH 3420 and MTH 4480 with grades of "C" or better, or Permission of instructorThis course includes approximation of functions, nonlinear systems, numerical solutions of differential equations, and numerical techniques of integration.
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5.00 Credits
1 (1 + 0) Prerequisite: MTH 3420, MTH 4480, and Permission of instructor This course will provide a closer examination of selected topics from the required courses in the Applied Mathematics emphasis, allows the students an opportunity to increase their problem-solving skills, and further exposes the students to mathematical software.
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5.00 Credits
1 (1 + 0) Prerequisite: MTH 3100 or MTH 3420 or Permission of instructor This is a seminar in mathematical problem solving. Students will investigate factors of problem solving, such as belief systems, control mechanisms, heuristics, and mathematical resources. This investigation will be carried out in the context of working on a collection of problems designed to illustrate these factors. Problems from the William Lowell Putnam National Mathematics Examination are included in this collection.
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5.00 Credits
4 (4 + 0) Prerequisite: MTH 3110, MTH 3140, MTH 3210, MTH 3650, all with grades of "C" or better, Senior standing, or Permission of instructorIn this course, students will learn about the history of mathematics through the discussion of mathematical problems from ancient to modern times and the people who formulated or solved them. (Senior Experience)
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5.00 Credits
3 (3 + 0) Prerequisite: MTH 3100 or Permission of instructor This course will include topological spaces, functions, mappings and homeomorphisms, continuity, compactness, and metric spaces.
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5.00 Credits
3 (3 + 0) Prerequisite/Corequisite: MTH 2620 This course approaches mathematical concepts outlined in Colorado Model Content Standard for Mathematics (grades K-5) from an advanced perspective. By examining video and written cases of children doing mathematics, students in this course will (1) connect their developing understanding to important mathematical concepts they will be required to teach; (2) turn their attention from understanding their own mathematical thinking, and the thinking of their classmates, to understanding the mathematical thinking of children; (3) lay the foundation for being able to learn mathematics from teaching.
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5.00 Credits
4 (4 + 0) Prerequisite: MTH 3100 and at least 12 additional hours of upper-division mathematics, all with grades of "C" or better, or Permission of instructorThis course, to be taken in the semester immediately prior to MTL 3630, approaches the mathematical concepts outlined in the Colorado Model Content Standards for Mathematics from an advanced perspective. The course uses standards-based curriculum materials as the focus for : (1) exploration of the central ideas of the mathematics curriculum in grades 7 through 12 and the connections among them, and (2) making explicit the connections between content covered in the mathematics courses required for the major and content taught in the school mathematics classrooms.
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5.00 Credits
3 (3 + 0) Prerequisite: MTL 3620 or Permission of instructor Corequisite: MTL 3638 or permission of instructor This course examines teaching practice that supports conceptual understanding of mathematical ideas for all students in diverse classrooms. Prospective teachers who enroll in this course will analyze cases of teaching with particular attention to: planning for instruction; selecting and adapting curriculum materials; establishing classroom norms and expectations; fostering mathematical discourse; and assessing students' developing mathematical understanding. This course must be taken along with MTL 3638 in the semester immediately prior to MTL 4690. At the end of this course, students will have the intermediate to advanced skills in the selection, operation, and classroom use of technologies including graphing calculators, computers, and the Internet.
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5.00 Credits
2 (0 + 53) Prerequisite: MTL 3620 or Permission of instructor Corequisite: MTL 3630 or permission of instructor Prospective teachers enrolled in this course will spend at least 80 hours with a mentor teacher in a secondary mathematics classroom. During this time, prospective teachers will apply the mathematical knowledge base developed in the mathematics major and in MTL 3620, and the framework for teaching developed in MTL 3630, to the problems of practice that arise in public-school classrooms of diverse learners. Prospective teachers in this course will direct a Secondary Mathematics Lesson Study, a mini teacher work sample.
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12.00 Credits
12 (1 + 42.7) Prerequisite: completion of all mathematics course work and all teacher education course work required for licensure; department approval of all GPA requirements; completion of Application for Student Teaching This course is a 16-week, full-time field experience with a skilled mathematics mentorteacher, supervised by an "MTL mentor," the official college supervisor, in an accredited secondary school. Prospective teachers who enroll in this course will, with the close and continual support of the mentor-teacher, take on increasing responsibility for, and learn from, all aspects of the work of a full-time mathematics teacher. Prospective teachers and their mentors will participate in two Secondary Mathematics Lesson Studies (which, together, constitute the teacher work sample), and in regular seminars conducted by the MTL mentor and other members of the Department of Mathematical and Computer Sciences.
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