In this engaging text, Michael Weiss offers an advanced view of the secondary mathematics curriculum through the prism of theory, analysis, and history, aiming to take an intellectually and mathematically mature perspective on the content normally taught in high school mathematics courses. Rather than a secondary mathematics textbook, Weiss presents here a textbook about the secondary mathematics curriculum, written for mathematics educators and mathematicians and presenting a long-overdue modern-day integration of the disparate topics and methods of secondary mathematics into a coherent mathematical theory.
Areas covered include:
- Polynomials and polynomial functions;
- Geometry, graphs, and symmetry;
- Abstract algebra, linear algebra, and solving equations;
- Exponential and logarithmic functions;
- The historical development of the secondary mathematics curriculum.
Written using precise definitions and proofs throughout on a foundation of advanced content knowledge, Weiss offers a compelling and timely investigation into the secondary mathematics curriculum, relevant for preservice secondary teachers as well as graduate students and scholars in both mathematics and mathematics education.
Michael Weiss is currently a member of the faculty at the Department of Mathematics at the University of Michigan, USA. His background is in mathematics education and pure mathematics, and he was formerly a high school mathematics teacher in the United States.
Introduction 1. Numbers and Number Systems 2. Polynomials and Polynomial Functions 3. Solving Equations 4. Geometry, Graphs and Symmetry 5. Exponential and Logarithmic Functions 6. Complex Numbers