The authors define two mathematical cognitive verbs which are fundamental to the development of mathematical thinking and reasoning. They distinguish between 'describing' and 'explaining' in relation to doing mathematics, rather than using them interchangeably.

This paper advocates an integrated study of English rather than the traditional approach of studying language, literature, and composition. Its focus is not on designing an integrated curriculum, but on using this approach to develop reasoning skills for secondary students. One integrated curriculum program for the development of reasoning skills…

The purpose of this study was to compare traditional classification training for a set of abstract concepts with multiple-relations training consisting of inference practice and the use of a content diagram. To examine this, 200 undergraduate and graduate psychology students completed a Web-based tutorial covering the abstract concepts of a…

One of three related documents produced in response to a need for direct instruction in thinking skills at the secondary level, this program for high school students bases its approach on involvement of students in direct experiences. Designed to build on the thinking skills that the student already possesses and, ideally, on the experience gained…

One of three related documents produced in response to a need for direct instruction in thinking skills at the secondary level, this teaching guide for Book One and Book Two of "Thinking Through Language" is intended for junior or senior high school English teachers. The guide contains an introduction and summaries of Book One and Book Two,…

One of three related documents produced in response to a need for direct instruction in thinking skills, this program for middle school or junior high school students bases its approach on involvement of students in direct experiences. The book contains four units. Focusing on perception, Unit 1: "Experiencing the Arts" begins with ways sensory…