Critical thinking is embedded in national university graduate outcomes and included in international bodies' statements on higher education. At the same time, there are tensions surrounding critical thinking in higher education, such as its commodification, Eurocentrism, and relationship to rapidly digitalising cultures. Drawing from the…

Appeals to reform science education by policy makers are not new phenomena. To be sure, while science reform efforts have been ongoing occurrences for nearly six decades, perpetual educational reform efforts as a whole have been evolving and gaining momentum in number for more than a century. The general motivation for continual reform appears to…

This article considers humanities teaching as a vital space where students might develop their capability as "practical reasoners". The importance of this for self-development, but also for society and democratic life, is considered, while the economic purposes which currently dominate higher education are critiqued. An example is taken from the…

As teachers of political theory, our goal is not merely to help students understand the abstract reasoning behind key ideas and texts of our discipline. We also wish to convey the historical contexts that informed these ideas and texts, including the political aims of their authors. But the traditional lecture-and-discussion approach tends to…

Describes an earlier study on the main characteristics and background of undergraduate students' difficulties when trying to solve mathematical tasks. Focuses on and extends part of an earlier study that concerned task solving strategies. Indicates that focusing on what is familiar and remembered at a superficial level is dominant over reasoning…

Possible legal justifications for "reasons"--statements that justify conclusions--are discussed. It is suggested that justification is a concept that should be taken seriously and is one that is guided by objective standards, authority, tautology, tradition, consequences, comparison, intuitive moral sense, internal consistency, determinism, or…

Derives two sufficient conditions for a finitely generated Lie algebra to have the nilpotent hypercenter. Presents a relatively large class of generalized soluble Lie algebras. Proves that if a finitely generated Lie algebra has a nilpotent maximal subalgebra, the Fitting radical is nilpotent. (DDR)

Contending that mathematical representation sustains a resemblance to the representational activity preceeding it and that it is this analogical resemblance that makes the developmental sequence of children's representational ability visible as a sequence, this paper explores the application of this notion to an undergraduate class in early…

Describes characteristics of successful problem solvers and reports programs at all educational levels designed to help students improve their skills. (Author/MLF)

Specific illustrations are given of questions and problems designed to lead students in introductory physics courses into visualizing and reasoning qualitatively about physical phenomena. Examples include phenomena related to mechanics, electrostatic/magnetic interactions, resistive direct-current circuits, and Thompson's experiments marking the…

An activity in a college statistics class had students go to a field of grass and clover and use a variety of estimation, probability, sampling, distribution, and calculation techniques for determining the number of flowers in the field. The activity focused on the discovery process, encouraged abstract reasoning, and was pleasurable. (MSE)

Discusses the growing interest in "ethnomathematics," an effort to embrace non-European methods of math in college courses, especially in teacher education courses. Proponents claim they are teaching the same concepts as in traditional math but adding new culturally sensitive reasoning skills. Critics suggest dangers in teaching "politically…

Describes a course module designed to instruct beginning engineering students at the University of New Mexico in problem-solving methodology as suggested by Polya (understand, plan, carry out, look back). (SK)

The basic premise of this paper is that effective teacher training programs need to assist students in reaching beyond competence in subject matter and instructional methodology to focus on developing the prospective teacher's capacity to recognize and utilize the cognitive processes underlying the respective categories of the curriculum. A…

The core of apparel design education is the studio experience. This article discusses an Integrated Apparel Design Curriculum model built on a foundation of creative and technical experimentation and learning which contributes to developing abstract thinking skills. Various learning styles are supported as students work through the design process…