Reasoning is the process of thinking used to make claims and reach conclusions. It is among the first skills that should be taught to students in mathematics lessons and contributes to the creation and development of mathematical foundations. This study identifies evolution and trends in research on mathematical reasoning over the last four…

With the evolving technologies available to educators and the increased importance of including technologies in the classroom, it is critical for instructors to understand how to successfully utilize these emerging technologies within their curriculum. To ensure they are prepared, further study on the best practices and challenges of…

Recent research in problem solving has shifted its focus to actual classroom implementation and what is really going on during problem solving when it is used regularly in classroom. This book seeks to stay on top of that trend by approaching diverse aspects of current problem solving research, covering three broad themes. Firstly, it explores the…

Discusses the results of a study of the teaching and learning of mathematics in 21 countries, conducted by the International Association for the Evaluation of Educational Achievement. Reports that a clear distinction between support for broad educational objectives and for the learning of narrow skills did not exist among teachers. (SG)

The ways in which students in grades five and six solve problems is the focus of this paper, which provides background for the staff of the Skills Essential to Learning Television Project, (a multi-level series of video and print resources for classroom use). It considers the problem-solving process categories of understanding, transformation, and…

During the first 12 weeks of an applied calculus course, two classes of college students studied calculus concepts using graphical and symbol-manipulation computer programs to perform routine manipulations. Three weeks were spent on skill development. Students showed better understanding of concepts and performed almost as well on routine skills.…

This study was conducted to determine whether young children, given the experience of Logo programming, would acquire problem-solving skills and be able to transfer those skills to other areas. The study also investigated Logo's effectiveness in teaching certain fundamental geometric concepts to children who were supposedly not developmentally…

A theory of how people learn certain procedural skills is presented. It is based on the idea that the teaching and learning that goes on in a classroom is like an ordinary conversation. The speaker (teacher) compresses a non-linear knowledge structure (the target procedure) into a linear sequence of utterances (lessons). The listener (student)…

Focusing primarily on current problem areas in mathematics instruction, this third yearbook of the Finnish Association of Mathematics and Science Education Research contains five articles addressing four themes in mathematics education. The first theme is concerned with proportional reasoning in mathematics teaching and describes school test…

This document is intended to help practitioners and researchers in the United Kingdom find and use Internet-based research resources dealing with raising achievement. The introduction discusses the state of research into school effectiveness in the United Kingdom and elsewhere. Part A, which reviews available World Wide Web sites devoted to…