Compares the ability of students in Michigan (N=302) and Scotland (N=221) to do simple calculation exercises and relational/practical problems involving number and operation. Although this is not a controlled statistical study (data collected included birth date and sex), sample sizes are sufficient to make the reported results meaningful. (JN)

Three tests with increasingly more difficult sentence structures, developed for use with children at fourth-grade level or below in reading vocabulary and in mathematical computations, were administered to 30 eighth-grade Ss. Results revealed a significant difference between the test with greater syntactical complexity and the two other tests.…

Describes the use of a programmable calculator for student experiments, grading of laboratory reports, and assigning accuracy and precision scores. (GS)

Student reactions to calculators, some pedagogical questions that may need further investigation, and some classroom management suggestions are discussed. (DT)

Several activities are suggested in which children practice computation as a purposeful part of that activity. (DT)

Describes one program each for performing Fourier analysis and synthesis with a Hewlett-Packard HP-25 calculator. (MLH)

This paper introduces the reader to the concepts of binomial probability and simulation. A spreadsheet is used to illustrate these concepts. Random number generators are great technological tools for demonstrating the concepts of probability. Ideas of approximation, estimation, and mathematical usefulness provide numerous ways of learning…

The Purposeful Algebraic Activity Project is concerned with the development of algebraic activity in pupils in the early years of secondary schooling. Here we report on the different ways in which we have observed children articulating generalisations during semi-structured interviews which are being used to gain snap-shots of this development. We…

We explore the nature and consequences of teachers' problem solving through an example of a teacher's mathematical problem solving as it was occasioned by a student's mathematics. This illustration demonstrates the value of an interpretive framework that points to the mathematics of the classroom as a collective. Arising from this exploration is…

This unit of study for grades K-2 focuses on counting coins and coin equivalencies up to 50 cents, making use of a literature connection. The unit provides key words; recommends subject areas and approximate length of time; poses an essential question or problem; provides a unit introduction; notes four individual lessons ((1) For Sale!; (2)…

Fourteen third graders were given numerical computation and division-with-remainder (DWR) problems both before and after they were taught the division algorithm in classrooms. Their solutions were examined. The results show that students' initial acquisition of the division algorithm did improve their performance in numerical division computations…

Calculators are fast becoming accepted as needed household appliances. Certainly, children in school now will, as adults, look on calculators as being as necessary to everyday life as telephones. (Author)

In this first of two articles, computational algorithms for multiplication and division which encourage use of one operation at a time are proposed. (DT)

The importance of having children manipulate small objects that can be grouped, arranged, and counted is discussed. Learning activities for one-to-one correspondence, numerals, and the four operations are given. (MNS)