Indicates in-class and at-home math projects for sixth graders. Activities focus on map-making and exploration of maps. (RH)

References to approximations of pi in the Bible and calculations of pi in the Egyptian Phind Papyrus are noted, followed by a finding of an eighteenth-century Polish rabbi about the exactness of the Biblical computation. (MNS)

Points out how dice games can be used to teach mathematics concepts, discussing 13 dice games of varying difficulty. (RH)

This column solicits mistakes, fallacies, anomalies, et cetera, that raise interesting mathematical issues and may prove useful to teachers. Included in this issue are yet another proof that zero equals one and a differentiation that yields three equals two. (Author/JJK)

A method of using vector analysis is presented that is an application of calculus that helps to find the best angle for tacking a boat into the wind. While the discussion is theoretical, it is seen as a good illustration of mathematical investigation of a given situation. (MP)

A method for finding the complex roots of a graph is detailed. A conjecture is made regarding the nature of zero points of fourth-degree polynomial functions, but it is not proven in general. Mathematical induction is viewed as a promising tool to prove the conjecture that turned out unproductive. (MP)

Several activities focusing on the number 1976 are presented. (SD)

Some computations when done on the hand calculator yield results which can be read as words or phrases. (SD)

Competitions at one high school are described: they try to attract as many participants as possible, not just excellent students. In one type, creativity is stressed; another is a tournament; a third involves problem solving activities. Examples are included. (MNS)

Suggest several math activities using the simple technique of tapping a sugar maple tree for sap. Information and activities presented are useful in tapping one or two trees on school property, helping students who tap trees at home, or leading a field trip to a nearby maple sugaring site. (ERB)

Comments on bells throughout history are noted. 'Change-ringing,' focusing on the sequence in which bells are rung, is then explored. (MNS)

How probabilities change when playing the game of craps with dice having 8, 12, or 20 faces is discussed. Five challenge questions are also included. (MNS)

Decimal expansions of fractions are considered. Theorems and corollaries for some properties and for prime and composite denominators are presented. It is suggested that students write computer programs to deliver decimal expansions. (MNS)

Some lesson ideas with magic squares are given. The parametric form of three-by-three and four-by-four squares are each discussed and a worksheet is included on doing and making magic squares. (MNS)

Teachers can partially remedy misconceptions and anxiety about mathematics by incorporating a historical perspective into mathematics teaching. Numerous examples of how this can be done are presented, along with ideas illustrating the growth and evolution of mathematical ideas. (MNS)