This document focuses on how mathematics teaching and learning can be improved by developing more powerful approaches to connect thinking and mathematics. It proposes changing perspectives on what it means to learn and do mathematics and explores how these perspectives can be incorporated into the teaching of secondary school mathematics. Chapter…

Examination of the characteristics of models of Western critical thinking from a different perspective may help educators realize what these models do not allow. Western processes of reasoning are highly Aristotelian, based on Platonic dialectical forms. Relationships of the parts are established upon clearly defined criteria, and the methods tend…

The need to provide an improved science and mathematics curriculum is imperative. Over recent years cognitive psychologists and educators have responded to this need by designing instructional programs that are more compatible with our knowledge of how people acquire, use, and retain knowledge. This book contains many of the guiding principles…

The academic needs of gifted students are qualitatively different from those of regular students. This document describes a course that is differentiated for gifted students in the areas of content, process, learning environment, and product. Emphasis is placed on higher order thinking skills through independent study dealing with real world…

This book examines the "think aloud method," which asks people to think aloud while solving a problem so that the resulting protocol can then be analyzed to answer questions about problem solving behavior. The method is presented in detail in the book, along with examples. The book finds that the method is useful both for psychological…

This paper describes applications of logic programming technology to the teaching of the inductive method in computer science and mathematics. It discusses the nature of inductive thought and its place in those fields of inquiry, arguing that a complete logic programming system for supporting inductive inference is not only feasible but necessary.…

This book includes a student edition by the same name and introduces students to various civilizations and their achievements. The self-directed activities emphasize higher-level thinking skills and activities keyed to "Bloom's Taxonomy." The table of contents lists: (1) "What Is Archaeology?"; (2) "What Is Culture?"; (3) "Where to Dig"; (4)…

The purpose of this study was to determine whether getting students involved in analyzing issues critically would help them develop effective critical thinking skills. The subjects were 113 students, ages 17-60 years, freshmen through seniors, enrolled in freshman level courses at a southwest state university. These students responded to the…

The books in this series provide an essential ingredient in the transition from concrete mathematical experience to the symbolic reasoning used in algebra. They aim to guide the student in building and extending manipulative patterns, collecting numerical data, and analyzing the results. The main objective of the activities in this book is for the…

This study compared the content comprehension and logical reasoning ability in two groups of second-semester university computer science students. The control group (n=25) received instruction in a traditional lecture/discussion learning environment three days a week for nine weeks. The treatment group (n=24) met in a cooperative learning…

Critical thinkers must be critical about critical thinking itself, and because there is a close conceptual connection between critical thinking and rationality, the demand for justification for a commitment to critical thinking is tantamount to a demand for reasons that justify a commitment to rationality. Several authors have argued that the…

The characteristics necessary to looking at art thoughtfully also characterize reflective thinking. Reflective thinking directs and manages experiential thinking. Reflective art viewing counters negative thinking dispositions of hasty, narrow, fuzzy, and sprawling thought by cultivating four habits: (1) taking time to look; (2) looking and…

Critical thinking and writing, a marriage originally made in heaven, is only now beginning to recover from a long and sterile period of estrangement. John Dewey described critical thinking as a complex, transactional, context-based web of activity involving the whole person, an activity which writing both demonstrates and promotes. The…

This longitudinal study analyzed the relationship between structure and content of socio-moral reasoning. Using a system that defines independently the cognitive organizational and content aspects of socio-moral reasoning, the study examined whether persons at different developmental levels make use of different content categories, and whether the…

This publication is designed to educate high school students about the problems and challenges of transportation. The parent project was conceived as a mathematics curriculum project, but developed into an interdisciplinary project to ensure that students would become well informed regarding the transportation decisions they make. In the…