Role of mathematics in society; contemporary issues in mathematics education; role of professional mathematics educator, including ethical and effective practice; social, historical, and philosophical perspectives and methods of inquiry in analysis of mathematics education issues; and sociological and psychological bases for learning mathematics. Technologies used in teaching mathematics.

A deep examination of mathematical topics designed for future elementary school teachers. Visualization. Properties of angles, circles, spheres, triangles, and quadrilaterals. Measurement, length, area, and volume. Transformations, congruence, and similarity.

A deep examination of mathematical topics designed for future elementary school teachers. Numbers, the decimal system, number lines. Fractions. Number theory: factors, multiples, greatest common factor, least common multiple, prime numbers. Algebra, expressions and solving equations. Basic descriptive statistics.

A deep examination of mathematical topics designed for future elementary school teachers. The meaning of addition, multiplication, and division. Adding, multiplying and dividing whole numbers, decimals, and fractions. Ratio and proportion.

Children's mathematical learning from pre-numerical stages through the acquisition of advanced numerical and spatial processes and operations. Research-based development of a theory of children's learning. Includes field component.

Mathematics teaching and curriculum in preK through 5th grade. Content and materials appropriate for preK through 5th grade mathematics curriculum is integrated with an analysis of mathematics teaching, including the use of technology. Includes a field component.

Topics in mathematics education.

Univariate analysis for measurement data using graphs and numerical summaries; bivariate analysis for measurement data using scatterplots, correlation, and fitting lines; describing categorical data; sampling methods; observational and experimental studies; describing random behavior; binomial and normal distributions; sampling distributions; confidence intervals and significance testing; pedagogy methods for instruction and integrating technology.

Use of technological tools in teaching elementary mathematics. Current computer software for mathematical explorations.

Content, methods, and materials appropriate for preK through 8th grade mathematics instruction. Integration of instruction and assessment and appropriate use of technology.

An analysis of high school mathematics that arises in commercial and non-commercial workplace settings. Topics come from algebra, geometry, statistics, and other branches of mathematics.

The contemporary secondary and collegiate mathematics curriculum, with an emphasis on data handling, modeling, infinite processes, stochastic processes, and discrete mathematics.