Alice F. Artzt

Mathematics Teaching as Problem Solving: A Framework for Studying Teacher Metacognition Underlying Instructional Practice in Mathematics

The purpose of this exploratory study was to use a “teaching as problem solving” perspective to examine the components of metacognition underlying the instructional practice of seven experienced and seven beginning teachers of secondary school mathematics. A metacognitive framework was developed to examine the thoughts of teachers before, during and after lesson enactments. Data were obtained through observations, lesson plans, videotapes, and audiotapes of structured interviews during the course of one semester. Data analysis suggests that the metacognition of teachers plays a well-defined role in classroom practice. These findings provide useful insights for researchers and teacher educators in their preservice and inservice mathematics programs.

The mathematics that every secondary school math teacher needs to know

Preface Notes to the Reader/Professor Acknowledgments * Intuition and Proof * Basics of Number Theory * Theory of Equations * Measurement: Area and Volume * The Triangle: Its Study and Consequences * Building the Real Number System * Building the Complex Numbers * Induction, Recursion and Fractal Dimension * Functions and Modeling * Geometric Transformations * Trigonometry * Data Analysis and Probability * Introduction to Non-Euclidean Geometry * Three Problems of Antiquity Appendix Index

Queens College: A Program for Math Teachers Requires a Complex Formula

Teacher educators have not been sitting quietly by the side as others have demanded changes in teacher preparation programs. Across the nation, scores of efforts are underway to recruit, train, induct, and retain a highly skilled class of professionals for American schools. These stories cover just a fraction of the initiatives, projects, and programs launched by school districts, universities, foundations, and others, all aimed at advancing student learning by improving teaching. A program that produces math teachers and a healthy retention rate does so by wrapping itself around students and giving them time to learn and grow into the profession.