The MIU system is presented as a potential instruction unit in mathematics involving the derivation of theorems. A program written in BASIC is included that can be used to generate new theorems. The MIU system can give students a glimpse into the meaning of artificial intelligence. (MP)

Examples of some geometric illustrations of limits are presented. It is believed the limit concept is among the most important topics in mathematics, yet many students do not have good intuitive feelings for the concept, since it is often taught very abstractly. Geometric examples are suggested as meaningful tools. (MP)

The beauty of discovering some simple yet elegant proof either to something new or to an already established fact is discussed. A combinatorial problem that deals with covering a checkerboard with dominoes is presented as a starting point for individual investigation of similar problems. (MP)

A hungry worm is looking for something to eat according to very specific rules, and the path he takes is a graph. The problem is detailed in Applesoft BASIC using low resolution graphics for worms that turn 90 degrees and high resolution for worms that can turn 45 degrees. (MP)

A test of 1,366 high school students revealed no significant sex differences in the ability to perform geometrical proofs. Boys did outscore girls on overall achievement in geometry, but the results are believed to reflect differential exposure to mathematics outside the classroom. (MP)

Ideas are presented regarding: (1) unique learning activities for students who have difficulty with operations with signed numbers; (2) a mathematical inspection of a unique card trick that can be expressed as an equation; and (3) sketching of graphs of composite trigonometric functions. (MP)

A program developed by a high school freshman is presented that plots unusual graphs on the screen of a TRS-80 computer. The view promoted is that teachers of advanced mathematics should not be surprised if new ways of looking at the subject come from students interacting with computers. (MP)

Alternate strategies are suggested for finding the altitudes of two different pyramids using the Pythagorean Theorem and a worksheet approach. (MP)

This report illustrates how high school statistics students at the junior and senior year level utilize the TRS-80 microcomputer and the Level II BASIC programing language to handle computations of a least squares problem, where an equation is fitted to empirical data. (MP)

A study focused on the effect of students' expectations for achievement in mathematics on actual achievement. The relationship of a variety of daily experiences to achievement was examined. Results indicate that student expectations relate to subsequent achievement and that no significant relationship between achievement and expectations based on…

In a study involving students currently enrolled in their last semester of required mathematics and students already enrolled in nonrequired mathematics, it was demonstrated that a factor involving encouragement from significant others and subjective value placed on mathematics was the best predictor of taking nonrequired mathematics courses for…

Computer Literacy Objectives developed by the Minnesota Educational Computing Consortium (MECC) computer literacy study are given. The objectives are grouped under the six headings: Hardware; Programing and Algorithms; Software and Data Processing; Applications; Impact; and Attitudes, Values, and Motivation. (MK)

This paper discusses a technique, challenging students to solve problems published in mathematics periodicals, which has been used successfully with gifted students in a regular high school class. (Author/MK)

Typical classroom conversation of teachers and pupils during examples of mathematics instruction are analyzed. The importance of references as essential parts of speech acts in conversation is emphasized. (MP)

The status and nature of geometry as presently taught in English secondary schools is examined. An almost total absence of deductive geometry was found, with many topics such as topology, vectors, coordinates, and transformations introduced but not covered in depth. (MP)