This paper describes an intensive 3-year classroom- and district-based study of the process of integrating the development of algebraic reasoning into elementary school mathematics in an educationally underachieving school district based on a year-long pilot effort in 1997-98 with two 5th grade teachers and one 6th grade teacher. In 1998-99, the…

This report describes a program for increasing students' ability to simplify square roots. The targeted population consisted of high school students in a rural community in a midwestern plains state. The problem of the ability to understand the abstract algebraic process of simplifying square roots was documented through teacher-made tests,…

This volume presents a full high-school course in elementary algebra and contains all the topics given in the standard year-and-a-half courses. It is adapted to the prevailing practice of teaching elementary algebra in two courses--a full-year course followed by a half-year course. The first 23 chapters contain all the work required in any…

The busy teacher of high-school algebra often finds that limitations of time forbid the actual working out of all the exercises and problems in a text. This teachers' edition is designed to meet such a condition. In its plan it is brief and schematic rather than complete and detailed. Many exercises are so simple that the answers only are given in…

The busy teacher of high-school algebra often finds that limitations of time forbid the actual working out of all the exercises and problems in a text. This teachers' edition is designed to meet such a condition. In its plan it is brief and schematic rather than complete and detailed. Less time should be required to prepare a lesson from this…

Three examples of the use of intuitive geometrical ideas in clarifying analytical results. (MM)