Course Description
Explores various secondary mathematics topics with a modeling and data analysis approach and an explicit focus on ways of reasoning that connect critical concepts of secondary mathematics. A problem solving approach will be used to foster and explore topics including function, rate of change, and algebra.
Additional Requirements for Graduate Students:
Graduate students will be expected to complete additional
assignments that familiarize them with mathematics education
research and practice. Additional assignments will include
readings suitable for graduate students (e.g., articles from
high-impact research journals), and the students will be
expected to connect the advanced readings to their experiences
in the courses (e.g., conducting article syntheses of all
course readings; designing tasks that incorporate ideas from
their advanced readings).
Athena Title
Connections Secondary Math I
Undergraduate Prerequisite
MATH 3200
Graduate Prerequisite
MATH 3200
Undergraduate Corequisite
EMAT 4800/6800 and EMAT 4800L/6800L
Graduate Corequisite
EMAT 4800/6800 and EMAT 4800L/6800L
Semester Course Offered
Offered spring
Grading System
A - F (Traditional)
Course Objectives
Students will do the following while focusing on algebraic concepts, particularly functions and mathematical modeling. -Engage in mathematical, epistemological, curricular, and pedagogical investigations. - Address and investigate basic concepts in the secondary mathematics curriculum. - Reflect on the content knowledge necessary for a mathematics teacher, and the role content knowledge plays in teaching. - Communicate and reason mathematically, engage in problem solving, investigate different representations, and make mathematical connections. - Design and analyze instructional tasks focusing on connecting concepts and ways of reasoning. - Become familiar with and operational with using technological tools in doing mathematics. - Use general tools such as word processing, spreadsheets, and the Internet to facilitate mathematical investigations and to communicate about mathematical investigations. - Use application software to solve mathematical problems, create mathematical demonstrations, and construct new ideas of mathematics. - Explore mathematics using a variety of technologies including graphing calculators, computer software, and textbooks; communicate mathematical ideas using various technological tools.
Topical Outline
•Rate of change including Constant Rate of Change, Average Rate of Change, Instantaneous Rate of Change, Changing Rates of Change •Functions including exponential and logarithmic functions, 1st & 2nd degree equations and factoring, Radicals, Connections with rate of change •Trigonometry including Angle Measure (degrees and radii), Trigonometric functions (connections with rate of change), Polar coordinates and functions (connections with rate of change) •Systems of equations/inequalities including, Applications, Linear programming, Making connections with rate of change and functions •Data analysis/statistical analysis including chance, distributions, variance
Syllabus
Public CV