Described is a method of teaching geometric constructions. The method relates five basic constructions to the properties of a rhombus. (RH)

Describes some unsolved problems in geometry, as well as some recently solved ones. Indicates that each advance generates more problems than it solves, thus ensuring a constant growth in unsolved problems. (GA)

A detailed proof is given of a theorem that characterizes the vertex sequence of any convex polyhedron and establishes the existence of only 13 Archimedean solids. (MP)

Equations for the conic sections are given, and properties of the conics are discussed. The contributions of Greek mathematicians are reviewed. (DT)

Describes how the concept of similar triangles was taught using an optical method of estimating large distances as a corresponding activity. Includes the derivation of a formula to calculate one source of measurement error and is a nice exercise in the use of the properties of similar triangles. (Author/NB)

Presents an active way for students to learn about SAS, SSS, ASA, AAS, and HL in determining congruent triangles. (Author/NB)

Teaching mathematics with games and puzzles goes back in history. Presents an example with the set theory game called Subset Takeaway in which two players can play. Creates a geometric representation of Subset Takeaway starting with a triangle and going to a three-dimensional simplex. Illustrates the winning strategy in the game and features a…

Due to the popularity of 3D graphics in animation and games, usage of 3D geometry deformable models increases dramatically. Despite their growing importance, these models are difficult and time consuming to build. A distance learning system for the construction of these models could greatly facilitate students to learn and practice at different…

Expanded instructional time has become increasingly popular as a strategy to improve the academic outcomes of low-skilled students, particularly in the 9th grade. We evaluate the efficacy of a double-period algebra policy initiated in the Chicago Public Schools in 2003. This policy required all students with 8th-grade test scores below the…

Most high school mathematics teachers completed a mathematics history course in college, and many of them likely found it intriguing. Unfortunately, very few of them find the time to allow much, if any, mathematics history to trickle into their instruction. However, if mathematics history is taught effectively, students can see the connections…

Geometry certainly is in fashion, at the Henrietta Barnett School for girls in North London. Within the project "Engaging mathematics for all learners", led and funded by the Qualifications and Curriculum Authority (QCA), the Royal Institution of Great Britain (Ri) looked into how mathematical tasks usually reserved for the "gifted…

Justin and Jenny, grade 12 math students, walk with their preschool friends Sean and Meg to the local grocery store. There, two classmates are tending the cash registers. The six of them, along with others, are participating in an in-school "field trip" to Consumer Town, located in the South Windsor High School front lobby. The field…