Course Description
Exploration of secondary mathematics topics related to number and measurement with an explicit focus on reasoning that connects critical topics of secondary mathematics to one another and to problem situations. Sample topics include proportional reasoning, number theory, and probability.
Additional Requirements for Graduate Students:
The 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 with the
standard readings of the undergraduate course; designing tasks
that incorporate ideas from their advanced readings).
Athena Title
Connections Secondary Math II
Undergraduate Prerequisite
EMAT 4810/6810
Graduate Prerequisite
EMAT 4810/6810
Undergraduate Corequisite
EMAT 4850/6850 and EMAT 4850L/6850L
Graduate Corequisite
EMAT 4850/6850 and EMAT 4850L/6850L
Semester Course Offered
Offered fall
Grading System
A - F (Traditional)
Course Objectives
In this course students will do the following in the context of focusing on ratio/proportion, probability, rational numbers, and number theory: • 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
•Mathematical probability •Ratio/proportional reasoning •Measurement •Permutations, combinations, binomial theorem •Number systems (including whole number, integers, rational, irrational, and complex), also includes fraction operations •Elementary number theory (gcd, lcm, primes and composite numbers) •Inductive, deductive proof