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MTH 4330: Reasoning and Proof in the Elementary Mathematics Classroom
2.00 Credits
Madonna University
2 s.h. Exposes K-8 pre-service and in-service teachers to mathematical reasoning and proof. Emphasis on making and investigating mathematical conjectures, developing and evaluating mathematical arguments and proofs, selecting and using various types of reasoning and methods of proof. Age-appropriate ways to foster systematic thinking, conjecturing, and marshaling of evidence are also explored. Prerequisite: MTH 1210, MTH 3330.
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MTH 4330 - Reasoning and Proof in the Elementary Mathematics Classroom
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MTH 4340: Technology in the Elementary Mathematics Classroom
2.00 Credits
Madonna University
2 s.h. Focus on the appropriate use of electronic technologies to help in teaching elementary school children to understand mathematics. Calculators, graphers and computers are used in a laboratory setting to investigate patterns; test conjectures; explore and analyze data, connect numerical, symbolic, and graphical representations; visualize geometric concepts; and investigate and solve real-world problems. Handson experience using and evaluating Internet resources appropriate for use in an elementary school mathematics classroom. Prerequisite: MTH 2330 or permission of instructor.
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MTH 4340 - Technology in the Elementary Mathematics Classroom
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MTH 4510: Introduction to Real Analysis
3.00 Credits
Madonna University
3 s.h. Development of a working knowledge of logic and the standard methods of mathematical proof; use of set theory concepts and notation; mastery of the concept of relations, especially equivalencies relations; understanding the basic properties of functions and operations of functions; and study of the properties of the real number system. Prerequisite: MTH 3510.
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MTH 4510 - Introduction to Real Analysis
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MTH 4530: Differential Equations
3.00 Credits
Madonna University
3 s.h. Relevant techniques of solving first-order differential equations, linear differential equations and linear systems, basic theories behind solution techniques to various fields. Prerequisite: MTH 2520.
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MTH 4530 - Differential Equations
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MTH 4650: Foundations of College Geometry
3.00 Credits
Madonna University
3 s.h. To broaden the understanding of Euclidean geometry; study finite geometries, geometric transformations and non-Euclidean geometries; write geometric proofs; apply geometric concepts to realworld situations; and explore geometric concepts and relationships using interactive software. Prerequisite: MTH 2520.
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MTH 4650 - Foundations of College Geometry
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MTH 4950: Senior Seminar
2.00 Credits
Madonna University
2 s.h. Designed to help students develop oral and written communication within the context of the mathematics major. An essential component of the course is the preparation and presentation of research paper. Taken by mathematics students with senior status as a requirement for graduation; to be taken in the final six hours of the program.
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MTH 4950 - Senior Seminar
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MTH 4960: Senior Seminar in Elementary Mathematics Education
2.00 Credits
Madonna University
2 s.h. Students with a major to teach mathematics in the elementary school research and discuss issues and evolving practice related to the teaching and learning of mathematics. Introduction to the professional community of mathematics educators and curriculum and evaluation standards. Opportunity to explore the historical development of mathematics that includes the contributions of various cultures. Oral presentations and a research paper are required. Prerequisite: senior status in the Elementary Certification Program.
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MTH 4960 - Senior Seminar in Elementary Mathematics Education
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MUAP 1010,1020,1030,1040: Applied Music for the Adult Beginner
2.00 - 14.00 Credits
Madonna University
2 s.h. each (max. 14 s.h. each) Basic course with emphasis on fundamental technique and musicianship. Includes theory, technique, reading, and repertoire designed to meet the needs of the individual student. Credit not applicable toward performance major nor toward major applied music electives. MUAP 10x0.05 - Piano for the Adult Beginner MUAP 10x0.15 - Voice for the Adult Beginner MUAP 10x0.24 - Organ for the Adult Beginner MUAP 10x0.26 - Violin for the Adult Beginner MUAP 10x0.28 - Guitar for the Adult Beginner MUAP 10x0.31 - Flute for the Adult Beginner MUAP 10x0.41 - Clarinet for the Adult Beginner MUAP 10x0.45 - Cello for the Adult Beginner MUAP 10x0.51 - Trumpet for the Adult Beginner
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MUAP 1010,1020,1030,1040 - Applied Music for the Adult Beginner
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MUAP 1080: Chorale
1.00 - 14.00 Credits
Madonna University
1 s.h. (max. 14 s.h.) Study and performance of sacred and secular choral literature; development of a discriminatory taste in music through experience in actual participation.
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MUAP 1080 - Chorale
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MUAP 1090: Voice Class I
2.00 - 14.00 Credits
Madonna University
2 s.h. (max. 14 s.h.) Practical approach to fundamentals of good singing techniques: support, vowel formation, concepts of resonance. Emphasis is on establishment of good vocal habits and exercises for development of the singing and speaking voice.
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MUAP 1090 - Voice Class I
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