# ELMA: Elementary and Middle School Mathematics

• Department of Mathematics

College of Natural Sciences and Mathematics

## ELMA 517 Introduction to Probability and Statistics 3 cr.

Introduces students to elementary concepts of probability which will enable them to analyze data, make predictions, and determine what concepts may be used with children. Prerequisite: MATH 152 or equivalent.

## ELMA 520 Pre-Calculus Mathematics I 3 cr.

Examines the function concept as applied to elementary real-number functions and graphing techniques for these functions. Topics include real-number functions, such as absolute value, step, linear, quadratic and other polynomial functions, trigonometric and other periodic functions, exponential, logarithmic functions, and all other inverse functions. Students will examine curricular materials that develop function concepts in grades K-8. Prerequisite: MATH 152 or equivalent.

## ELMA 556 Geometry for Elementary/Middle Level Teachers 3 cr.

Students become acquainted with an informal, intuitive approach to geometry. Activities and materials for teaching geometrical concepts to children are an integral part of the course.
Prerequisite: Enrolled in Master of Education in Elementary and Middle School Mathematics Education or permission of instructor.

## ELMA 557 Introduction to Number Theory 3 cr.

Introduction to topics in elementary number theory, including basic operations and properties of integers; divisibility properties of integers; modular arithmetic and congruences; diophantine equations; interesting relationships among numbers; applications of number theory in elementary school mathematics. Prerequisite: MATH 152 or equivalent.

## ELMA 558 Introduction to Logic and Logical Games 3 cr.

Introduction to some basic ideas, terminology, and notation of logic. Topics considered: symbolic logic, with special emphasis on algebra of propositions; applications of Boolean algebra, such as algebra of sets and switching circuits; introduction to quantification theory and its value in determining validity of mathematical arguments, inference schemes, and logical puzzles; and consideration of other topics in logic suitable for a K-8 mathematics curriculum. Prerequisite: MATH 152 or equivalent.

## ELMA 559 Computer-Related Topics in the Elementary and Middle School 3 cr.

Provides teachers with the concepts and techniques necessary to teach computer-related topics to children in the elementary and middle schools. Prerequisite: MATH 152 or equivalent.

## ELMA 561 Discrete Mathematics for Elementary/Middle Level Teachers 3 cr.

Topics in discrete mathematics, including systematic counting, graph coloring, networks, and their applications, as well as the historical background and the role of discrete mathematics in today’s world. Uses a problem-solving, hands-on approach to content. Explores curricular materials, resources, and activities relevant to teaching discrete mathematics at the Elementary/Middle Level. This is a dual level course.
Prerequisite: Enrolled in Master of Education in Elementary and Middle School Mathematics Education, or permission of instructor.

## ELMA 571 Algebra for Elementary/Middle Level Teachers 3 cr.

Topics include multiple representations of sequences, integers, expressions, equations, systems of equations, inequalities, and matrices. Representations of expressions and equations will be employed through the use of hand-on and visual aides and with appropriate technology. Connections will be made with the teaching and learning of algebraic concepts at the Elementary and Middle Level.
Prerequisite: Enrolled in Master of Education in Elementary and Middle School Mathematics Education or permission of instructor.

## ELMA 581 Special Topics 3 cr.

Special Topics which go beyond the scope of regular offered courses. Offered on basis of student interest and available staff. The student may take more than one Special Topics offering with the written approval of the advisor. Prerequisite: MATH 152 or equivalent.

## MAED 650/ELMA 650 Curriculum and Instruction in Mathematics Education 3 cr.

The purpose of this course is to familiarize the K-12 teacher with the philosophical and psychological issues that guide the development of mathematics curricula. Topics include a history of the development of mathematics curriculum; innovative curricula that have had impact on teaching and learning; state and national standards and their impact on mathematics curricula; methods of implementing a contemporary program; and analysis of current curricula. Prerequisite: Appropriate major or permission of the instructor.

## ELMA 652 Diagnosis and Remedial Teaching of Mathematics 3 cr.

Examines why some children have difficulty in learning mathematical concepts and presents tools and techniques for diagnosing and remediating common difficulties in elementary and middle school mathematics. Valuable for those teaching in elementary, middle school, or remedial programs. Prerequisite: Methods course in teaching mathematics or consent of instructor.

## ELMA 653 Mathematics for the Gifted Student 3 cr.

Examines different approaches for mathematically gifted students. Students become familiar with resources and elementary programs designed for use in either regular classrooms or special classes for the gifted. Prerequisite: Methods course in teaching mathematics or consent of instructor.

## ELMA 654 Teaching Problem Solving in the Elementary and Middle School 3 cr.

Intended to teach teachers how to become better problem solvers; teaches problem-solving techniques appropriate for grades K-8. Prerequisite: Methods course in teaching mathematics or consent of instructor.

## ELMA 655 Mathematics for Early Childhood 3 cr.

Studies child-centered, activity-oriented mathematics programs for early childhood education. Focuses on implementing research to help children develop understanding and insight into basic concepts of mathematics through the use of manipulative materials. Topics include prenumber activities, number activities, numeration, operations on whole numbers, estimation, rational numbers, geometry, measurement, probability, statistics, and problem solving. Prerequisite: MATH 152 or equivalent.

## ELMA 681 Special Topics 3 cr.

Special Topics which go beyond the scope of regularly offered courses. Offered on basis of student interest and available staff. The student may take more than one Special Topics offering with the written approval of the advisor. Prerequisite: Methods course in teaching mathematics or consent of instructor.

## ELMA 698 Supervised Internship 3 cr.

A professional work experience in a cooperating school district under the supervision of designated public school personnel, subject to review and evaluation by a university faculty member. Registration by permission only.

## ELMA 699 Elementary Math—Independent Study 1-6 cr.

Under the guidance of a faculty member, a student may study some area of mathematics or mathematics education not covered in the regular courses.