MATH 140

Text: Mathematics for Elementary Teachers, and Activity Manual by Sybilla Beckmann, Pearson, Addison-Wesley, 2003.

Topics:

• Tools for Problem Solving
• Integers and Rational Numbers
• Decimals and Percentage
• Operations of Arithmetic
• Number Theory
• Patterns and Algebraic Reasoning

MATH 141

Text: Workshop Geometry: Mathematics for teaching elementary school. by Sallee and Saunders, 2006.

Topics:

• Basic Geometric Reasoning
• Similarity and Proportional Reasoning
• Concepts of Measurement
• Applications of Geometry
• Probability and Statistics

MthT 466 Introduction to Calculus and the Graphing Calculator.
4 Credit Hours

Problem solving using derivatives, differentials, and their applications followed by integrals and their applications. Finding derivatives of polynomials, rational functions, logarithms, exponential and trigonometric functions. Approximating derivatives with a small, finite delta-x. Close approximations of derivatives using a program for the calculator. Problem solving: maximum-minimum problems solved directly by graphing; then by derivatives; motion under uniform acceleration, including falling bodies. Integration of readily integrable functions. Approximating integrals as a finite sum and programs for summing using rectangles, trapezoids, and Simpson's Rule. Indefinite integral as antiderivative; definite integral as area under the curve. Applications of the integral to science.

MthT 467 Introduction to Number Theory with Applications.
4 Credit Hours

Classical topics of elementary number theory and how they pertain to teaching the upper grades. Infinity of primes, unsolved problem of twin primes and general lore of primes. Prime factorization, number of factors in a composite. Divisibility, Greatest Common Factor, Least Common Multiple, and use with common fractions. Floor and ceiling functions to produce integers. Gaussian Residue (congruence/modulo) classes and applications. General applications to number lattices of varying complexity ranging from first to eighth grade.

MthT 468 Geometry with Applications for Middle Grade Teachers.
4 Credit Hours

A study of plane and solid figures, their properties, qualitative and quantitative. Polygons and polyhedra. The circle as a limit of polygons. Euler's formula for polyhedra. The regular polyhedra. Volume versus surface area and maximum-minimum problems solved with graphing calculator. Spatial visualization; two dimensional representations of three dimensional figures. Graphing and programming for numerical calculation of areas and volumes. Uses in middle grade teaching.

The State of Illinois requires each undergraduate in elementary education to satisfy 18 hours of "Study in One Discipline." Students in the Concentrators Program take an additional two courses, usually chosen from the MST-Elementary program, to complete the State requirements for Study in One Discipline in Mathematics. Students who wish to use mathematics as their Study in One Discipline, but who are not Concentrators, put together a package of 18 course hours under faculty guidance. Such students are typically transfer students who arrive at UIC with additional mathematics courses.