| MHE-Mathematics Education |
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| MHE450 |
Mathematics for Elementary School Teachers |
| This is a mathematics content course for prospective and inservice elementary school teachers. It addresses the concepts of a comprehensive elementary and middle school mathematics curriculum through reasoning and problem solving in the areas of patterns, number, geometry, measurement, data, and chance. 3 semester hours |
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| MHE480A |
Methods of Teaching Mathematics |
| This course, intended for students preparing to become certificated teachers (K-9), addresses methods, materials, and instructional issues in teaching mathematics in the elementary school. It is designed to help future teachers develop knowledge, skills, and beliefs that enhance their ability to teach mathematics to children. Prerequisite: Admission to National College of Education and 10 quarter hours of mathematics, college algebra level and above. 4 quarter hours |
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| MHE480B |
Methods for Teaching Elementary School Mathematics |
| This course is intended for students preparing to become certified teachers. It addresses pedagogy, materials, and instructional issues related to the learning and teaching of mathematics in elementary school. It is designed to help future teachers develop knowledge, skills and beliefs that will enhance their ability to teach mathematics to children. Admission to National College of Education required. Prerequisite: six semester hours of mathematics, college algebra level and above. 2 semester hours |
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| MHE481 |
Theory and Methods of Teaching Primary Mathematics |
| This course examines how primary grade school children think and learn mathematics while covering instructional strategies and materials that promote meaningful learning. Emphasis on effective teaching will include lesson development, planning and management of hands-on learning activities, and assessment and evaluation. Three hours of clinical experiences are required as part of the course. Prerequisite: Admission to National College of Education. 3 quarter hours |
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| MHE482 |
Instructional Methods/Primary/Mathematics and Science |
| This course, intended for students preparing to become certificated teachers, addresses methods, materials, and instructional issues involved in teaching mathematics and science in the primary grades. It is designed to help future teachers develop knowledge, skills, and beliefs that enhance their ability to teach mathematics and science to children. Prerequisite(s): EPS500A and Admission to the College of Education. 2 semester hours |
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| MHE485 |
Advanced Methods for Teaching Middle School Mathematics |
| This course builds upon the methods of teaching general elementary school mathematics through an in-depth focus on the curriculum, methods, materials, and issues involved in teaching mathematics in the middle grades (grades 6-8). This fulfills the methods course requirement for the state endorsement in middle school mathematics on the type 03 (K-9) certificate Prerequisite: MHE480A, MHE480B or equivalent. 5 quarter hours/3 semester hours |
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| MHE501 |
Topics in Mathematics for Teachers: Number Concepts and Operations in the Elementary and Middle School Mathematics Curriculum |
| This is a mathematics course for prospective and inservice teachers. It addresses the concepts of number and its operations as they occur in a comprehensive elementary and middle school mathematics curriculum using reasoning, problem solving, and technology to understand its historical development as well as its applications in the areas of geometry, measurement, and data and chance. Opportunities to see how number is essential to understanding other subject areas are included. Prerequisite: MHE450 or equivalent. 3 semester hours |
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| MHE502 |
Topics in Mathematics for Teachers: Algebra |
| This course is designed to strengthen teachers' conceptual understanding of important ideas of algebra and to examine how they are best taught and learned. A problem-solving emphasis is used to study algebra from four perspectives (language and representation, functions, modeling, and structure) and its applications in various contexts and branches of mathematics (number, geometry, measurement, data, and chance). The course will examine the use of technology in building understanding of algebraic concepts."Prerequisites: Intermediate Algebra. Students are expected to bring a graphing calculator. 3 semester hours |
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| MHE503 |
Issues and Directions in Mathematics Curriculum, Learning and Instruction |
| This course examines current and past trends and issues in mathematics education. In particular, the course focuses on research related to the mathematics curriculum, students' learning, mathematics teaching, assessment, and classroom environment as well as how these areas work together to promote the development of students' mathematical understanding. Prerequisite(s): Consent of program advisor. 3 semester hours |
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| MHE510 |
Topics in Mathematics for Teachers: Geometry |
| This investigative study of geometry involves an active examination of geometric concepts and thinking from several perspectives including: patterns and relationships, shapes in space and the plane, transformations, measurement, and geometric representations of concepts in various branches of mathematics. The course helps students develop problem solving, spatial thinking, as well as inductive and deductive reasoning as they explore, make conjectures, test their ideas, and formalize conclusions, using appropriate technologies. This course can be applied to middle school math endorsement Prerequisite: MHE450 or equivalent, or holder of 03 or 09 certificate. 3 semester hours |
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| MHE511 |
Topics in Mathematics for Teachers: Number Theory |
| This course focuses on number theory content which is relevant to the school mathematics curriculum. Number theory is taught via a problem solving approach with connections to geometry, logic and probability. Explorations with and conjecturing about number patterns provide experiences from which students study various topics including: factors, primes, and prime factorization; counting techniques; greatest common factor (GCF) and least common multiple (LCM); divisibility; number patterns (e.g., PascalĘs triangle, polygonal numbers, Pythagorean triples; Fibonacci numbers); Diophantine equations; remainder classes and modular arithmetic, iteration, recursion, and mathematical induction. Prerequisites: MHE450 or equivalent; or consent of program advisor. 3 semester hours |
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| MHE512 |
Topics in Mathematics for Teachers: Statistics and Probability |
| Statistics and probability theory are taught with an emphasis on developing intuitive understanding of statistics and probability with a critical approach to their use. Students will gain a strong sense of the importance of their applications to real world problems. Connections to other subjects in the curriculum will be explored. Knowledge will be developed using experimentation and the generation, investigation, and analysis of data. Topics include: survey design, sampling procedures, data representation, inference, randomness, statistical significance and practical significance, theoretical and experimental probability, simulations, correlation, measures of center, central limit theorem, and the normal distribution. Prerequisite(s): MHE450 or equivalent and high school algebra or equivalent consent of program advisor. 3 semester hours |
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| MHE522 |
Advanced Methods and Materials in Teaching Mathematics |
| A survey of current curriculum, instructional strategies, and materials in mathematics is provided for the practicing elementary school teacher. For certified teachers only. Prerequisite: MHE480B or course equivalent. 2 semester hours |
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| MHE582 |
Workshop/Math Education/Topic |
| 1-4 semester hours |
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| MHE584 |
Workshop/Math Education/Curriculum Materials |
| 1-4 semester hours |
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| MHE584C |
Workshop/Math Education/Curriculum Materials/GeometerĘs Sketchpad |
| Geometer's Sketchpad is a powerful software program that allows for the discovery of endless mathematical concepts through the use of dynamic sketches and graphs. Participants in this class will learn how to utilize Geometer's Sketchpad to explore mathematical relationships, make conjectures about these relationships and test these conjectures. Students will study the effects of exploratory Sketchpad activities through simulating a classroom experience, addressing the application of multiple intelligences in these activities, studying research on various teaching methods that address the use of dynamic software and then applying these findings to a lesson project. This course MAY NOT be repeated for additional credit. Prerequisite(s): Familiarity with middle school geometry concepts and computer use, access to internet and Geometer's Sketchpad software. 1-3 semester hours |
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| MHE584D |
Workshop/Math Education/Curriculum Materials/Fathom: Exploring Statistical Concepts |
| Fathom is a dynamic software program that allows for the discovery of endless mathematical concepts through exploring the interactions of graphs, tables, and functions all in one screen. Participants learn how to utilize Fathom and real world data to explore mathematical relationships, make conjectures about these relationships and test these conjectures. Students study the effects of exploratory Fathom activities through simulating classroom experiences, addressing the application of multiple intelligences in these activities, studying research on various teaching methods that address the use of dynamic software and then applying these findings to instructional projects. This course MAY NOT be repeated for additional credit. Prerequisite(s): Access to the internet and Fathom software; comfort with computer use. 1-3 semester hours |
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| MHE585 |
Workshop/Math Education/Instructional Practices |
| 1-4 semester hours |
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| MHE585AA |
Workshop/Math Education/Instructional Practices/Number Concepts and Computation for Grades 3-6 |
| This is a workshop for prospective and inservice teachers. Participants will engage in activities that focus on promoting student understanding of number concepts and operations with whole numbers, fractions, and decimals. Mental math, estimation, and problem solving will be integrated throughout. An important focus of the workshop is to provide instructional strategies, supported by research, that are intended to make important math concepts accessible to the struggling mathematics student--and to those students who have other special needs. 1 semester hour |
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| MHE585AG |
Workshop/Math Education/Instructional Practices/Differentiating in the Middle School 6-12 Mathematics Classroom |
| This course examines the processes of differentiation and how they apply to the 6-12 mathematics curriculum. Participants investigate the principles of differentiation and focus on mathematics strands to see how they can differentiate the content, process, product and assessment of mathematics instruction in grades 6-12. They participate in learning experiences that heighten their awareness of the diverse needs of individuals in the mathematical learning process. Through identifying and accommodating aspects such as learning styles, special needs, and social development, participants learn to create lessons that assess, address and evaluate those needs. The course MAY NOT be repeated for additional credit. Prerequisite(s): none. 1-3 semester hours |
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| MHE585B |
Workshop/Math Education/Instructional Practices/Teaching Problem Solving |
| Participants in this course learn how to utilize rich problem-solving scenarios to create natural and intriguing investigations of 6-12 mathematics. These investigations develop problem-solving strategies, communication of these strategies, and the ability to evaluate these strategies. Practical real-world applications and problem-based learning are addressed. The content and process of this course are aligned with the National Council of Teachers of Mathematics (NCTM) Standards and a special emphasis is placed on instructional strategies that promote student success on the ISAT Extended Response items. This course MAY NOT be repeated for additional credit. Prerequisite(s): None. 1-3 semester hours |
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| MHE585L |
Workshop/Math Education/Instructional Practices/Using Graphing Calculators and Computer Spreadsheets in the 6-12 Mathematics Classroom |
| This workshop explores the use of graphing calculators (TI-83/TI-84) and computer spreadsheets to support key mathematics concepts through Algebra I. Participants learn how graphing calculator and computer spreadsheet technology can and should be integrated into mathematics instruction--particularly in the areas of problem-solving, number concepts, algebra, geometry, data analysis, and probability. No prior experience with this technology is assumed. The workshop supports local calls (Illinois Learning Standards) and national calls (NCTM Principles and Standards for School Mathematics) for using calculators and computers as essential tools for teaching, learning, and doing mathematics. Prerequisite(s): none. 1 semester hour |
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| MHE586 |
Workshop/Math Education/Students with Special Needs |
| 1-4 semester hours |
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| MHE591 |
Field Study/Math Education |
| 1-4 semester hours |
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| MHE593 |
Seminar in Mathematics Education |
| This seminar is a culminating experience that is designed to help students integrate learning and develop depth and perspective in the field of mathematics education. The structure of the seminar is dependent on the program experiences of the participants and is organized to foster independent research and integrating experiences. Prerequisites: MHE503, ESR506, ESR507 or consent of program advisor. 3 semester hours |
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| MHE594 |
Independent Study/Mathematics Education |
| 1-3 semester hours |
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| MHE599 |
Thesis in Mathematics Education |
| 4 semester hours |
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