Assessing achievement is a complex task due to its dependence on multiple factors and the hierarchical structure of educational data, yet surveys like TIMSS offer valuable insights into its determining factors like students' mathematics anxiety. However, disregarding the nested structure of data and ignoring the assumptions of models causes poor…

Given the importance of modelling in mathematics classrooms, and despite the extensive body of research on teacher support for promoting the mathematical modelling cycle in the classroom, authors have overlooked how teacher support for argumentation can contribute to this cycle. This study is aimed at characterizing teacher support for…

The Verhulst model can be used to forecast the sequence, which is characterized as non-monotone and fluctuant sequence or saturated S-form sequence. According to the situation of national enrollment scale of college, this paper forecasts the quantity of students taking entrance examination to college with a Verhulst model with remedy based on data…

The problem of designing computer programs that will approach human capabilities in pattern recognition is discussed. Human beings are much better at recognizing patterns that are highly structured than at recognizing patterns that are not. In contrast, a computer system's performance in pattern recognition is almost independent of the amount of…

This paper is a theoretical discussion of several functions of knowledge systems based on the idea of partial matching, that is, comparison of two or more descriptions by identification of their similarities. Several knowledge system functions are described in terms of partial or best matchings including analogical reasoning, inductive inference,…

The paper is an en route version of a technical report which will ultimately present a process model of transfer that will be usable in the design of instructional programs. Consequently, it is a progress report with respect to the formulation of that model. (LI 004 279 and 004 280 are related documents) (Author)

The similarity between two apparently dissimilar problems is explored. Pascal's triangle is involved. (SD)

An activity sequence is described. Several aspects of a population problem are developed using isoperimetric graph paper and symmetry principles to derive general rules. (SD)

Several varieties of perceptual independence are investigated, including sampling independence, dimensional orthogonality, stimulus separability and integrality, and performance parity. A general multivariate perceptual theory is developed, and a precise definition of perceptual independence is offered. (Author/LMO)

The aim of this paper is to attempt to develop a neuropsychological theory of attention which is compatible with contemporary theories of human information processing. (Author/RK)

Mathematical proofs often leave students unconvinced or without understanding of what has been proved, because they provide no visual-geometric representation. Presented are geometric models for the finite geometric series when r is a whole number, and the infinite geometric series when r is the reciprocal of a whole number. (MNS)

Geometric concepts and theorems can be discovered by high school students using the materials described. Among the topics explored are Platonic solids and Euler's formula. (SD)

A model for multiplication is described and used to discuss the properties of division. (SD)

The use of paper folding to demonstrate polygons which give plane tessellations, conic sections, and the solutions to several problems is described. (SD)