The Invisible Wall Project analyzes problem-solving processes of children in Grades 3 and 4 and Grades 8 and 9. The central idea of the research is to use sets of tasks that are all unsolvable, which means they have a goal that cannot be reached. The unsolvability, however, is of a kind that can be understood even by younger children. In our case,…

This article explores four kinds of critical thinking. The first is found in Socratic dialogues, which employ critical thinking mainly to reveal logical fallacies in common opinions, thus cleansing superior minds of error and leaving philosophers free to contemplate universal verities. The second is critical interpretation (hermeneutics) which…

This paper contains a consideration of the nature and role of warrants for research conclusions in educational research. The paper argues the need for an explicit warrant in the form of a logical and persuasive link between the evidence produced and the conclusions drawn (with appropriate qualifications and caveats). It describes social scientific…

The discussion identifies six contradictions that characterize the emergent learner-centered teaching role: (a) control/flow, (b) facilitator/evaluator, (c) teacher learning/student learning, (d) subject expert/teaching expert, (e) caring for students/caring for self, and (f) individual mentor/group leader. Key concepts are presented (conflict,…

Constructivism is a perspective on learning that is initiated from the learner's perspective rather than by that of the teacher; understanding is constructed by the learner rather than placed upon the learner. If constructivism is fostered in teacher education, practical reasoning can encourage teacher development to its fullest. (The concept of…

The concept of the mole and its relationship to chemical algebra is difficult for many high school chemistry students to master. This paper describes a study of the use of proportional reasoning when teaching mole relationships and its effect on developing critical thinking skills. The Test of Logical Thinking (TOLT) was used as a pre- and…

The purpose of this research was to provide information about gender-related worldview structures, among college students, that can inform the instructional decision making process. Information was generated in a logico-structural investigation of the interrelationship of gender, interest in science, and concept of nature. The strength of the…

Six tips for increasing student problem-solving skills are offered in this teacher fact sheet. Puzzles and simulations matched to student mental maturity and general knowledge are recommended as activities for helping students think more flexibly and practice higher order thinking skills. In addition, four suggestions are given for controlling…

The hypothesis for this study assumed that subjects who received a diagram representing the structural relationships of a story would be more likely to solve a new and analogous problem than subjects who received two analogs without a diagram. The 151 graduate students who acted as subjects were randomly assigned to one of four treatments: one or…

Because analogical reasoning plays a major role in content area reading comprehension, teachers should learn to teach analogy-solving skills and to identify the kinds of difficulties some elementary students will have in solving them. Analogies are statements of relationships wherein one term is similar to another term. Relationships in analogy…

This paper takes the position that logical knowledge is distinct from conceptual and procedural knowledge and can make a unique contribution to the understanding of knowledge acquisition. This view of logical knowledge departs from the traditional Piagetian view of stages and the overriding view of logic as the sole means of constructing new…

This paper focuses specifically on the reasoning skill called proportional reasoning. Areas addressed include: (1) a definition (providing examples of direct and indirect proportional reasoning); (2) the development of proportional reasoning (discussing survey results of students logical reasoning abilities); (3) planning for the future (proposing…

Reported are the findings of five descriptive studies in which the Group Assessment of Logical Thinking (GALT) was used as measure of logical thinking. Specifically, an attempt was made to determine how reliably the GALT measured logical thinking abilities and how well it predicted academic achievement. The reliability coefficients on the GALT for…

One approach to the study of problem solving is to observe how people with different skills (novices and experts) solve problems by collecting and analyzing protocols and formulating models to obtain solution processes. Individual differences are subsequently explained by the differences in the knowledge possessed, as embodied by the sets of…

Conducted in Swaziland in 1984 and 1985, this research study explored children's logical thinking skills. One of the primary elements examined was the relationship between previous preschool experience and the child's ability to perform logical thinking tasks. The study consisted of six Piagetian tasks given to 400 children, preschool through…