Many traditional classroom science and technology activities often ask students to complete prepackaged labs that ensure that everyone arrives at the same "scientifically accurate" solution or theory, which ignores the important problem-solving and creative aspects of scientific research and technological design. Students rarely have the…

Psychology students frequently have misconceptions of basic concepts in operant conditioning. Prior classroom observations revealed that most students defined positive reinforcement as reward and equated negative reinforcement and punishment. Students also labeled positive reinforcement as rewarding good behavior and negative reinforcement as…

The author describes a pilot study to investigate the extent to which learners use imagery in a variety of spatial problems. In order to discover how to encourage pupils to use imagery and thus to become better problem solvers, this study set out firstly to explore how pupils are able to use imagery in a variety of tasks. The tasks involved mental…

How has our society typically responded to the challenging problems facing youths? Communities have, more often than not, focused resources on prevention programs that have attempted to stop youths from taking drugs, joining gangs, getting pregnant, and dropping out of school, among other things. A problem is identified, and the response is to…

In recent decades, a number of factors have contributed to the growth of alternative educational programs in urban settings. Public perception of cities as dangerous places and national media attention to high profile incidents of school violence are two influences. Here, Tallerico and Burstyn center on a subset of in-depth interview data provided…

Numerous classroom-based research projects have examined the important role social skills play in an elementary classroom (Browning, Davis, and Resta 2000; Burns 2003; Palmer and Wehmeyer 2003; Stone 2001). As Stone (2001, 18) suggested, "Teachers have an enormous influence on children's behavior by speaking directly and honestly to them,…

In a future that is likely to be increasingly dominated by new technology, it is important to consider what mathematics is and how it might be taught. This article discusses these and related issues in the context of both universities and schools.

We describe two classes of sequences that give rise to accessible problems for undergraduate research. These problems may be understood with virtually no prerequisites and are well suited for computer-aided investigation. The first sequence is a variation of one introduced by Stephen Wolfram in connection with his study of cellular automata. The…

This paper provides a pragmatic view of efficient use of graphics calculators. Efficiency is described in terms of quick and easy calculation, as debated and evidenced in a Year 12 calculus class. Students' methods of calculation are analysed in terms of the algebraic understanding and technical skills that underpinned them. Patterns in students'…

This third part continues the exploration of how we can overcome the limitations of the present knowledge system. In preparation, two aspects of current engineering theory and practice are examined because they are paradigmatic: the concept that engineering is essentially problem-solving, which goes against our understanding of human skill…

Problem-based learning (PBL) works with a series of problems that form the syllabus for a course or the basis of a curriculum. Learning occurs through the definition of the problem and its attempted resolution. PBL is challenging but offers much potential for geography with its interdisciplinary character. The challenge to geography lecturers is…

In this paper, characteristics of mathematics classrooms in the East Asian countries of Hong Kong and Japan are discussed based on an analysis of the data of the TIMSS 1999 Video Study. The data shows that although students in these East Asian countries did not talk a lot in the classroom, they were exposed to more instructional content. The…

Struggling learners and their parents often are exasperated by homework. They find it difficult, frustrating, and laborious, producing resistance, slipshod work, stress at home, and conflicts between struggling learners, parents, and school personnel. The author (1) identifies several causes of struggling learners' homework difficulties, (2)…

Gaining expertise in leadership requires time, commitment, an adequate knowledge base, and a working plan for learning and growth. Without a plan for learning, only tacit or "how-to" expertise is developed. Leaders often know how to solve the problems facing them, but fail to analyze and act on the underlying causes. This results in administrators…

Heartland Area Education Agency in Iowa illustrates how it has sustained a problem-solving service delivery system for 15 years and adapted to changing state and federal requirements while remaining consistent with its guiding principles that emphasize direct assessment, intervention, progress monitoring, and the evaluation of student results. The…