Performance of first and second graders on measurement problems indicated that they are unable to relate the measurements of objects using different units to visual comparisons of quantities. (SD)

A series of problems involving number theory, the law of cosines, and geometric interpretations of solutions to equations is discussed. (SD)

Properties of cones can be studied by considering the circular sector obtained by slitting and unrolling the surface of the cone. (SD)

Continuing the discussion begun in SE 515 051, the author develops the properties of the stretch transformation and the stretch rotation. (SD)

A series of puzzle-type activities combining arithmetic reasoning and geometric figures is described and illustrated. (SD)

The author argues that every student should have experience with complex geometric constructions because of their aesthetic value. He presents several such constructions. (SD)

Artistic configurations can be built using a rectangular array of points and number concepts or principles. (SD)

The results of the first report on the mathematical abilities of 13 and 17 year-olds by the National Assessment of Education Progress (NAEP) are summarized and interpreted. A similar article for elementary school mathematics appears in SE 514 769. (SD) Aspect of National Assessment (NAEP) dealt with in this document: Results (Interpretation).

Results of a survey show that secondary school mathematics teachers believe that a geometry course plays an important role in mathematics education. Many respondents would support evolutionary change in the nature of the course, but few would favor revolutionary change. (SD)

Results of National Assessment problems on area are used to highlight the difficulties elementary students have with area and volume concepts. Recommendations for instruction include the provision for substantial practice with coverings before the introduction of computational short-cuts. (SD) Aspect of National Assessment (NAEP) dealt with in…

An algebra class asked: What is the smallest positive integer that is divisible by each integer less than or equal to ten? Students discovered factorials and a solution. Verifying the solution produced a series of numbers. Successive differences between entries, triangular arrays, and successive quotients finally led to Pascal's triangle. (KM)

Geometry is an important branch of mathematics. Geometry curriculum can be enriched by using different Technologies such as graphing calculators and computers. Logo-based different software packages aim to improve conceptual understanding in geometry. The goals of this paper are i) to present theoretical foundations of any compute software…

The author shares a story of how Luis González, an iron artisan, helped the author build a wooden and iron toy truck. The knowledge required to build the skeleton for the parallelepiped in the construction of the truck is not in the mathematical high school curriculum in Venezuela. Although Luis never received a degree beyond high school,…

The second Indiana Mathematics Contest included tests in Algebra (First Course), Geometry, Algebra (Second Course), and Comprehensive. Test-writing responsibilities were delegated to mathematics and mathematics education faculties at four state universities, with the mathematical content based on course objectives in the state guidelines. Fourteen…