Developing the Trends in International Mathematics and Science Study (TIMSS) Advanced 2008 Assessment Frameworks was a collaborative venture involving mathematics and physics experts from around the world. The document contains two frameworks for implementing TIMSS Advanced 2008--one for advanced mathematics and one for physics. It also contains…

The development of the derivative because of being part of calculus in permanent dialectic, demands on one part an analytical, deductive study and on another an application of rochrematic methods, sources of resources, within calculus of derivative which allows to dialectically confront knowledge in its different phases and to test the results.…

The development of calculus and science by being permanent, didactic, demands on one part an analytical, deductive study and on another an application of methods, rhochrematics, resources, within calculus, which allows to dialectically conform knowledge in its different phases and to test the results. For the purpose of this study, the motivation…

Two approaches are discussed for calculating the work necessary to pump water from a conical or parabolic container. The direct method derived from the definition of work is easy to misuse, as illustrated by a student's incorrect solution. (JP)

A look at a computer-oriented calculus test recently developed by the Center for Research in College Instruction in Science and Mathematics. (AK)

How far does the back end of a bus swing out as the driver makes a turn at an intersection?'' is the problem discussed. (MM)

Models from evolutionary theory and inbreeding analysis are used to illustrate applications of probability, statistics, sequences, calculus, and matrix theory to genetics. (MM)

Non-traditional methods of presenting and solving calculus problems in high school mathematics classes are presented. All problems deal with the principle that the maximum product of two numbers whose sum is constant is obtained if the numbers are equal (i.e., the arithmetic mean of n numbers is greater than or equal to the geometric mean). (JG)

Efficiency of algorithms for evaluating polynomial expressions and an alternative method for evaluating Sf(x) eaxdx are discussed. (FL)

This article first appeared in the American Mathematical Monthly in January 1929. In addition to some general concerns, six reasons for lethargic student attitudes are discussed. Stressed is the need to keep mathematics instruction in the hands of teachers prepared to teach mathematics. (MNS)