# Problem Sets

Organized around “important” problems, each exploration includes a historical context, people involved, associated readings, guided problem solving experiences, problem extensions, reflection questions, teacher commentary, writing projects, references, and solution commentaries. Spanning the history of mathematics, the problem sets integrate the areas of algebra, geometry, number theory, probability, and calculus. The intended audience includes students in a mathematics history course, secondary and college mathematics teachers, and anyone interested in exploring mathematical problem-solving in historical contexts. My apologies in advance for any errors you discover, whether they be historical or mathematical

## Available Problem Sets

 Egyptians' Solution of Algebraic Equations Student Teacher Egyptians' Use of Unit Fractions Student Teacher Babylonian Approximation of Square Roots Student Teacher Babylonian Solutions of the Quadratic Student Teacher Thales and His Semicircle Theorem Student Teacher Eratosthenes Measure of the Earth's Circumferance Student Teacher Squaring of the Lunes Student Teacher Three Famous Problems of Antiquity Student Teacher Pythagoras and His Theorem Student Teacher Euclid's Extensions of the Pythagorean Theorem Student Teacher Euclid's Exploration of Phi Student Teacher Pythagorean Triples Student Teacher Equidecomposition of Basic Geometrical Shapes Student Teacher The Greek's Geometrical Algebra Student Teacher Greek Approximation of Square Roots Student Teacher Chinese Approximation of Square Roots Student Teacher Using Euclid's Geometry to Solve Quadratics Student Teacher Archimedes and His Mechanical Method Student Teacher Archimedes' Estimation of Pi Student Teacher Archimedes and His Quadrature of a Parabola Student Teacher al-Khwarizmi's Geometric Solution of Quadratics Student Teacher Khayyam and His Solutions of the Cubic Student Teacher Fight Over Solving of the Cubic Student Teacher Descartes' Geometric Solutions of the Quadratic Student Teacher Descartes' Transform-Solve-Invert Methold Student Teacher Fermat and His Quadrature of a Hyperbola Student Teacher Pascal and His Arithmetical Triangle Student Teacher Newton's Generalization of the Binomial Theorem Student Teacher Leibniz and Sums of Infinite Sequences Student Teacher Leibniz and his Harmonic Triangle Student Teacher The Problem of Points Student Teacher Godel and Formal Axiomatic Systems Student Teacher
Page Updated 11.27.2017