This paper describes the conceptions about complex numbers that a group of university students has, these were built from the application of an activity sequence centered on these numbers. This sequence is based on the APOS theory, some aspects of semiotic representation theory, and the use of digital technology. Particularly, both the general…

The following outlines the rationale and structure of a professional learning initiative that seeks to explore teachers' ways of engaging students more actively in building mathematical connections for themselves. An example of one of the suggested experiences is presented.

This paper is a preliminary inquiry by a non-mathematician into graphic methods of sequential planning and ways in which hierarchical analysis and tree structures can be helpful in developing interest in the use of mathematical modeling in the search for creative solutions to real-life problems. Highlights include a discussion of hierarchical…

The two studies detailed in this paper investigated the effects of adaptive sequencing of examples and adaptive feedback on concept learning using computer-based instruction. In the first study, two groups of undergraduate students progressed through a set of five behavior management concepts presented in the rational set generator framework.…

A total of 132 volunteer 10th and 11th grade students participated in an experiment to investigate two variables of computer-based adaptive instructional strategies for concept learning. The first variable tested the hypothesis that selection of number of examples according to on-task information is more efficient than selection according to…

This study tested certain implied predictions regarding conceptual learning at each of four sequential levels of development: concrete level, identity level, classificatory level, and formal level. For this purpose, scaled batteries to assess the level of conceptual development of children, kindergarten through high school, were constructed and a…

Using Jean Piaget's theory of thinking as a structuring mechanism, this paper presents a theoretical framework for the development of remedial, corrective, and developmental reading programs geared toward teaching reading comprehension. The four stages of intellectual development that Piaget has proposed (sensorimotor, preoperational, concrete…