The Conference Board of the Mathematical Sciences (CBMS) has proposed a course of study for future mathematics teachers that stresses a well-rounded mathematics learning experience focusing on five major strands of university-level mathematics:
(1) Algebra and Number Theory;
(2) Geometry and Trigonometry;
(3) Functions and Analysis;
(4) Data Analysis, Statistics, and Probability; and
(5) Discrete Mathematics and Computer Science.
A critical component of their course of study is a "capstone" course that focuses on all of these strands of mathematics and makes the connections between their undergraduate mathematics experiences and the secondary mathematics curriculum, allowing teachers to develop the translation skills necessary for quality instruction. To remove this huge disconnect between university-level mathematics and secondary mathematics, a deep understanding of effective precollege mathematics curriculum, instruction, and assessment such as proposed in the National Council of Teachers of Mathematics (NCTM) Standards (1989, 1991, 1995, 2000) is crucial. MLI's capstone course, the Summer Leadership Institutes, is accomplishing this.