This first report--necessarily a selective account--is an attempt to give a broad view of current developmental work in the field of language, increasingly a focus of concern in these post-bullock times. (Editor)

This article describes a six-week period of activities of a male freshman at a Dutch Teacher Training College, including the lessons he attended and how he experienced them, his practical work, and the paper he wrote following a didactic assignment. (MN)

Several examples of concrete mathematical models are discussed along with suggested criteria for good heuristic models. (MN)

This paper considers the aspect of heuristic teaching in which theorems are introduced in the form of problems and the proofs of these theorems as solutions to problems. The traditional treatment along with an illustration of a heuristic approach is discussed for each of several well-known theorems. (MN)

The place of Euclidean deductive geometry in the secondary school curriculum is considered and implications for mathematical education are highlighted. (MN)

Students, ranging from 8 years of age to 19 years, were used in an experiment to study understanding of the expression "similar" as it is used in colloquial speech when it is applied to geometrical figures. Results indicated that "similar" is understood in many different ways by students with the Euclidean meaning not being noticed. (MN)

This study examines structural and linguistic variables in relation to ability in recognizing inference patterns. It investigates the relationship between different sets of structural variables and the language used by bilingual subjects. The idea that the ability to recognize valid principles is not a unitary ability which develops with age and…

The paragraph unit that constitutes an addition or subtraction word problem text is discussed and the logical conditions such problems must fulfill are formulated. An attempt is then made to formulate the semantic conditions which will define well-formed addition and subtraction texts. (MN)

The author presents a research-oriented approach to teacher training intended to aid teachers in being able to reason about the content, methods and goals of their teaching activities. The model research procedure is then illustrated by exploring a particular teaching unit in three-dimensional geometry. (MN)

The author presents an approach to the teaching of undergraduate introductory probability and statistics. He also presents experimental evidence that suggests the approach helps students rely upon probability theory in making estimates for the likelihood of events rather than rely upon heuristic principles which may bias probability estimates. (MN)

This paper is a translation of a report on two Swedish investigations concerning children's lack of understanding of the quantitative value of numbers (specifically, decimals and fractions). (MN)

This article describes a one-semester junior and senior level course in applied mathematical optimization for undergraduates which provides the opportunity to test models by doing numerical experiments and to learn to use computer subroutines for solving optimization problems. (MN)

Emphasizes that research into classroom life, and into the preparation of teachers for it, is not easy. Stresses the need for detailed conceptual analysis and rigorous research methodology, the need to face up to the complex realities of schools and classrooms, to establish more immediate relationships, and to take full account of the insight and…

The theme of this paper is that the individual research worker is mistaken if he adopts a scaled-down version of the traditional forms of research style. Examines some forms of research counter to conventional styles. (Author/RK)

Describes the origins and transformation after 1854 of the Scottish ragged school into certified industrial schools. Attempts to set the movement in the wider British context and to find the roots of the distinctive features which led contemporaries to refer to "the Scotch system". (Author/RK)