Capstone on Teaching and Learning Mathematics for Secondary Teachers

Math 462

Dr. Douglas A. Lapp

Course Description

This Capstone course is designed to integrate the subject content knowledge gained in the first three courses of the program (Math 261, 362, and 363) with both pedagogical & curricular content knowledge.  In this course we will build on your experiences from the previous courses that were specific to subject matter content in algebra, calculus, geometry, probability, and statistics; however, now we will focus attention on the scientific study of the teaching and learning of mathematics.  We will use vignettes, written cases, and video excerpts to analyze both teacher actions and student activity as they interact in classroom situations.  In addition, we will address the practical issues of lesson and unit planning as well as curriculum design.


This course also requires 40 hours of field-based work in the secondary schools.  This field-based work constitutes your “Pre-Student Teaching” experience for CMU's teacher education program.  You will receive your placement during the first or second week of class.


Course Materials

Tentative Syllabus



Important Links

Common Core State Standards-Mathematics