The study concerns the performances of first grade children in solving problems involving subtraction situations and the relationship of these performances to levels of conservation of numerousness and to I.Q. groups. The subjects were grouped into levels of conservation by a pretest administered prior to the main test of problem solving in…

This report is divided into two parts. The first part contains the major sections of the author's doctoral dissertation comparing the effects of two instructional problem-solving programs. The fifth grade students in six classes (three schools) were randomly assigned to the two programs: The Productive Thinking Program, a commercially-available…

This document is intended as a guideline for volunteers who work with elementary children in mathematics in the Oklahoma City School System. Following referral and progress sheets designed to increase teacher-volunteer communication about the student, the bulk of the book is a list of involvement activities to assist volunteers in helping students…

This report of a statewide Mathematics Advisory Committee outlines the kindergarten through grade eight mathematics curriculum in terms of nine "strands": Numbers and Operations, Geometry, Measurement, Applications of Mathematics, Statistics and Probability, Sets, Functions and Graphs, Logical Thinking, and Problem Solving. Broad goals…

NULL HYPOTHESES WERE TESTED TO DETERMINE THE DIFFERENTIAL EFFECTS OF (1) EXPERIMENTAL ATMOSPHERE AND ABSENCE OF SAME, (2) NOTICE OF TEST (10 SCHOOL DAYS) AND NO NOTICE (1 SCHOOL DAY), (3) TEACHER ADMINISTRATION AND OUTSIDE ADMINISTRATION OF TESTS, AND (4) TEACHER SCORING AND OUTSIDE SCORING OF TESTS. SIXTH-GRADE CLASSES (N=64), EACH FROM A…

A test of mental arithmetic skills was developed and normed for children in grades one to six. Statistical techniques were used to predict the probability correct for each item and to rank order the items. Students in a given grade took only one level of the test and inferences were made of their performance on those tests which they did not take.…

An investigation undertaken to clarify existing research relating relevant cognitive factors to discrepant school achievement of White and Black children indicates that significant differences exist between them. However, studies of discrepant achievement and the prediction of success must employ more specific criteria if results are to be…

Presents ideas for teaching basic skills. Includes strategies for teaching about human rights, directions for making an adding machine to use in addition and subtraction drill, activities for developing effective discussion skills, and suggestions for teaching place-name geography. (JMB)

An approach to solving many linear programming problems, using only arithmetical thinking in conjunction with the usual diagram, is given. (MN)

A list of the basic competencies in mathematics set by the Vermont Board of Education is given and discussed. The basic competencies are grouped as follows: numeration, measurement, money, arithmetic, and reasoning. (MP)

Performance of norms group on Reading and Arithmetic subtests of WRAT was compared with that of a representative national sampling. Systematic differences were found between the two data sets, and effects of these differences on current norms were illustrated. Norms tend to underestimate subject's achievement level relative to general population.…

Presented is a paradigm for teaching basic and semibasic arithmetic facts to children with arithmetic difficulties, in which the student progresses from the use of concrete materials such as blocks, to the use of diagrams such as tally marks, to a reasoning process, to responding in an automatic manner. (DLS)

A few examples, relating specifically to fractions, of the many possible intriguing and substantial ideas to be found in remedial mathematics are given. (MN)

An attitude survey and arithmetic tests were given to samples of students in order to quantify the benefit obtained from their use of calculators. Results showed that the use of the calculators does improve students' arithmetic performance with the less able students showing about twice the improvement of the more able. (MN)

This article reviews 40 pertinent studies of student groups (conducted between 1922 and 1969) related to the solution of word problems and makes recommendations for continued research in this area. The subdivisions focus on studies of problem analysis, computation, general reading ability, specific reading skills, specificity of the problem…