EML 435 Mathematics: Number Sense and Theory
Math endorsement candidates develop a conceptual understanding of and procedural facility with operations, number systems, ratios, and proportional relationships. Topics include the structure, properties, characteristics of and relationships between number systems including whole numbers, integers, rational, real, and complex numbers; operations of different number systems and their properties; representation, modeling, properties, and operations of vectors and matrices; the progression of learning that begins with the base-ten number system and operations thereof, builds into understanding of and operations with fractions and rational numbers, and extends to understandings of and operations with real numbers; ratios and proportional relationships, including additive and multiplicative perspectives; ratios, rates, and proportions; representation and analysis of proportional relationships using tables, graphs, equations, diagrams, concrete and mathematical models; and verbal description