We examined widely used popular calculus textbooks to explore opportunities to learn the limit concept. Definitions, worked problems, and exercise problems were coded to examine if these tasks allow students to use informal thinking to coordinate domain and range processes to understand the infinite process of limit. Results revealed many exercise…

This article explores the advantages of viewing intelligence not as a fixed trait residing within an individual, but rather as a person × task × situation interaction. The emphasis in the article is on the role of persons solving tasks embedded in situations involving learning, intellectual abilities, and competencies. The article opens with a…

The focus of the article is on the complex cognitive process involved in learning the concept of "straightness" in Non-Euclidean geometry. Learning new material is viewed through a conflict resolution framework, as a student questions familiar assumptions understood in Euclidean geometry. A case study reveals how mathematization of the straight…

Although critical thinking is a pervasive educational objective, it remains inconsistently and imperfectly defined. The present paper attempts to sort out direct attempts at defining critical thinking. Such definitions are classified as representing one of three differing points of view: critical thinking as evaluation, critical thinking as…

The ability to raise effective questions for problem-solving learning requires considerable skill and much preparation and practice. This research provides a brief examination of three problem-solving models for both elementary and secondary-level classrooms and emphasizes the development of an appropriate teacher question repertory for each phase…

Examined the role of school experiences in the preparation of teachers. (Author/RK)

The effects of text-provided aids on readers' understanding of scientific passages are discussed. Two techniques are pretraining on definitions and signaling. In the experiments, subjects read a scientific passage with either definitions pretraining, signaling, both, or neither. Results indicated these techniques helped readers build mental models…

Intelligence-friendly classrooms require a teaching/learning process governed by extant knowledge and theories about developing human beings' intellectual potential. Guidelines are based on setting a safe emotional climate, creating a rich learning environment, teaching the mind-tools and skills of life, developing learners' skillfulness,…

Directed at the inquiring practitioner, this paper defines the Outward Bound (OB) process; presents a summarial schema of that process; and provides examples of process application. The OB process definition encompasses the following: the learner must demonstrate motivational readiness (appropriate manifestations of willingness and ability to…

Research on how the brain works has resulted in wider-scale adoption of the principles of problem-based learning (PBL) in many areas of education, including technology education. The PBL approach is attractive to curriculum developers because it is based on interdisciplinary learning, results in multiple outcomes, is integrated and…

Appreciative inquiry (AI) is based on the heliotropic principle, which has been variously described as art and science, holistic theory and practice, and practical philosophy and change process. AI engages people and organizations in discovering what gives life to human systems when they are most effective and constructive and using that knowledge…

Capstones are culminating experiences in which students synthesize subject-matter knowledge they have acquired, integrate cross-disciplinary knowledge, and connect theory and application in preparation for entry into a career. Capstone courses should be both a synthesis and a bridge to students' future after graduation. In career and technical…

This volume of the 27th International Group for the Psychology of Mathematics Education Conference includes the following research reports: (1) The Affective Views of Primary School Children (Peter Grootenboer); (2) Theoretical Model of Analysis of Rate Problems in Algebra (Jose Guzman, Nadine Bednarz and Fernando Hitt); (3) Locating Fractions on…