Presents six mathematical problems (with answers) which focus on: (1) chess moves; (2) patterned numbers; (3) quadratics with rational roots; (4) number puzzles; (5) Euclidean geometry; and (6) Carrollian word puzzles. (JN)

The performance of 60 fourth form pupils who had been taught to solve algebraic equations by the algorithmic or flow chart method was studied. A sizeable number of pupils were not using the flow chart method. Other types of errors are noted. (MNS)

Three open-phrase games are presented which offer interesting experiences with substitution of numbers. Four open-sentence games are also described, two dealing with the initial stages of finding a partial solution and two requiring students to find the complete solution of an open sentence. (MNS)

Presented are eight student worksheets of block problems. Included are diagrams of the squares and hollow squares involved and a separate answer sheet for the problems. (CW)

A module built around programing the computer is described. It recognizes the need of many children to have algebra introduced in a practical way and to give some concrete meaning to it. (MNS)

Presents examples of line and curve graphs. Suggests some ways of using graphs to increase student learning. (YP)

Provides illustrated problem settings that serve as models for generating new investigations of the three-dimensional figures that result from a transformation of two-dimensional patterns. (JJK)

Presented is the solution to a quadratic expression and a variety of comments regarding this situation and implications for problem-solving instruction. A strategy for approaching similar problem-solving situations is discussed. (CW)

A programing approach is described, using numerical methods to draw implicit functions, without solving the relationships explicitly. Several examples are discussed, with programs and printouts included. (MNS)

Presented is an exploration of a number of ways these quantities can be demonstrated and some interconnections between them. Discussed are triangular numbers, sums of squares, sums of cubes, table squares, and counting rectangles. (CW)

Help to teachers for including discussion and investigations into their teaching, as recommended by the Cockcroft Report, is provided. Three algebra lessons are described as a way of getting started, and the degree of balance among teaching styles is discussed. (MNS)

A brief overview is given of a research project funded to investigate the cause and cure of errors in ratio and proportion, algebra, and fractions. Choosing pertinent information, interviewing students, listing significant features, developing lessons, and testing the materials are considered. (MNS)

Much constructive computer and programable calculator activity can be stimulated by BASIC programs that are only three or four lines in length. This article illustrates several ideas with accompanying BASIC program, particularly related to the learning of algebraic concepts, that can be explored with both elementary and secondary mathematics…

Using the notion of the difference between a number and its cube as a starting point, this article presents a wide range of mathematical activities at varying levels of sophistication utilizing numerical, intuitive, and graphical approaches. (JJK)

Discussed are solutions to the problem "What is the expected number of rolls for the total first to exceed 6?" Several algebraic solutions are presented. A computer program which may be used to simulate this problem is included. (CW)