The author suggests that, through using the outlined question model and suggested classroom activities, elementary students will improve their abilities to analyze routine, one-step word problems and make a plan for the solution. It is further argued that the same algorithm can be applied to multistep problems by using specified questions. (PK)

Results from the 1979 Minnesota Computer Literacy Assessment show that eighth- and eleventh-grade females perform better than males in some specific areas of programing, i.e., those that involve problem analysis and algorithmic application where the problems are expressed verbally rather than mathematically. (Author/LRW)

Advantages of using flow charts are listed. Flow charts for adding and subtracting fractions and for polynomial division are provided. Rules for constructing flow charts are given. (DT)

Presents both logical and empirical evidence to illustrate that the conventional scoring algorithm for ranking tasks significantly underestimates the initial level of group ability and that Slevin's alternative scoring algorithm significantly overestimates the initial level of ability. Presents a modification of Slevin's algorithm which authors…

The author promotes an earlier introduction of decimals than is currently standard practice in most elementary mathematics programs. Suggested activities and related skills are reviewed. (MP)

Identifies and describes the differences in the problem-solving methods used by faculty teaching introductory chemistry and students enrolled in an introductory chemistry course. Results indicate that students correctly solve algorithmic-mode problems more frequently. Contains 33 references. (DDR)

Presents a scenario in which two people solve a programming problem by discussing various number sequences and functions. The problem is redefined as one related to number theory and operations research. (DDR)

Provides pathological examples for which graphing calculators sometimes give surprising, misleading, or incorrect results. Investigates some of the more interesting of these examples encountered while using the TI-85 in a variety of undergraduate courses including calculus and matrix theory. (DDR)

Presented is a method where a quadratic equation is solved and from its roots the eigenvalues and corresponding eigenvectors are determined immediately. Included are the proposition, the procedure, and comments. (KR)

Described is computational geometry which used concepts and results from classical geometry, topology, combinatorics, as well as standard algorithmic techniques such as sorting and searching, graph manipulations, and linear programing. Also included are special techniques and paradigms. (KR)

Investigates children's behaviors and conceptual achievements in the transition from informal calculation strategies to a written division algorithm. Describes five different strategies observed in the solution of division problems. Discusses the implications of the children's behavior. (YP)

Discusses the use of a historical profile for illustrating the significance of the mathematical components of scientific laws. Addresses the need for the purposive use of scientific laws rather than the blind substitutionary procedures characteristic of most problem solvers. Claims the approach has the potential for increasing female participation…

Presents a problem that requires solving a card problem by exploring patterns that will lead to a logical solution. Involves students in developing and analyzing their own algorithms as well as discussing their reasoning with peers. (ASK)

In machine learning there is considerable interest in techniques which improve planning ability. Initial investigations have identified a wide variety of techniques to address this issue. Progress has been hampered by the utility problem, a basic tradeoff between the benefit of learned knowledge and the cost to locate and apply relevant knowledge.…

This yearbook provides the mathematics education community with specific perceptions about discrete mathematics concerning its importance, its composition at various grade levels, and ideas about how to teach it. Many practical suggestions with respect to the implementation of a discrete mathematics school program are included. A unifying thread…