EML 435

Mathematics: Number Sense and Theory (3)
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 baseten 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.
EML 445

Mathematics: Geometry and Measurement (3)
Math endorsement candidates develop conceptual understanding of geometric properties and relationships as they apply to congruence, similarity, geometric figures, and the Cartesian Coordinate System. Topics include modeling and solving real life and mathematical problems involving proof of theorems; congruence, similarity, and transformations; physical and technological constructions; lines, angle measure, area, surface area, and volume; classification, visualization, and description of twodimensional figures and threedimensional objects and the relationships among them; rigid motion; Pythagorean Theorem; angles, radii, arcs, chords, sectors of circles, and conic sections. Upon successful completion of this course, candidates have content knowledge to help K12 students become college and career ready in geometry and measurement.
EML 465

Mathematics: Calculus (3)
Math endorsement candidates develop conceptual understanding and procedural facility with calculus concepts. Topics include functions and absolute value, open and closed intervals, solutions of inequalities; limits, continuity, differentiation; derivatives, definite integrals, techniques of integration and differential equations; apply concepts of function, geometry, and trigonometry in solving problems involving calculus; use concepts of calculus and modeling to represent and solve problems taken from real world contexts. Upon successful completion of this course, candidates have content knowledge to help secondary students become college and career ready in calculus.
EML 475

Mathematics: Discrete Mathematics (3)
Math endorsement candidates develop conceptual understanding of a procedural facility with fundamental ideas of discrete mathematics in the formulation and solution of problems. Topics include mathematical proofs (direct, contradiction, contrapositive, induction); graph theory, recurrence relations, finite difference approaches, combinatronics); and application of discrete mathematics to formulate and solve real world problems. Upon successful completion of this course, candidates have content knowledge to help secondary students become college and career ready in discrete mathematics.
EML 481

Standards of Mathematics Practice (3)
Math endorsement students acquire functional understandings of the Common Core State Standards in Mathematics for content and pedagogy. Students focus on standards of mathematics practice, key shifts in mathematics, how students learn and do not learn math, collaborative teams, culturally responsive teaching, and Smarter Balance assessment. Students apply these learnings to specific math topics in the following content and pedagogy courses for the ultimate purpose of helping K12 students become college and workplace ready in mathematics.
EML 482

Algebra and Functions (3)
Math endorsement candidates develop conceptual understanding of and procedural facility with algebra concepts emphasizing functions. Topics include operations, solution, and graphical representation of real life and mathematical problems using numerical and algebraic expressions, equations, and inequalities; proportional relationships, lines, and linear equations; functional notation and their models (linear, quadratic, simple rational, and exponential); algebreic expressions and functions (polynomials, rationals, roots); arithmetic properties and their proofs, equivalent forms; analysis and modeling of functions (linear, quadratic, exponential, trigonometric); and relationships between various representations of a function (graphs, tables, algebraic expressions, concrete models, contexts). Upon successful completion of this course, candidates have content knowledge to help K12 students become college and career ready in algebra and functions.
EML 485

Mathematics: Probability and Statistics (3)
Math endorsements candidates develop conceptual understanding of an procedural facility with statistics and probability. Topics include summarizing, representing, and interpreting categorical and quantitative data; measures of central tendency, distributions, evaluation of random processes, populations and random sampling, randomization; single variable, multivariate, categorical, and continuous data; binomial probability distributions; the principles of probability; probability of compound events using technology to collect, represent, and analyze data; and using rules of probability to model, make predictions, evaluate decisions, and solve real world problems. Upon successful completion of this course, math endorsement candidates have content knowledge to help K12 students become college and career ready in probability and statistics.
EML 490

Teaching Mathematics: Bringing It All Together (3)
Math endorsement candidates build skills in effective integration, instructional strategies, and assessments of mathematics in a secondary or middle school classroom. This course also provides candidates with a review of the content necessary to pass the WESTE mathematics endorsement exam. Upon successful completion, candidates have improved skills needed to help make K12 students college and career ready in mathematics.