This article presents outcome data from an ongoing nonintrusive method for evaluating counseling services. Applied to one agency's delivery of solution-focused brief therapy, the method is brief and easily integrated into clinical practice. Using two scaling questions (one to measure daily functioning and the other to measure emotional coping),…

This article presents an exploratory study into the use of diagrammatic representation to aid problem-solving. It consists of a case study of one preschooler (3.9 years) who over a 12-month period was encouraged to use drawing as a way of reasoning about daily problems or issues. For this child, diagrammatic representation was found to facilitate…

While the existing research consistently points to the effectiveness of Dialectical Behavior Therapy (DBT) in treating borderline personality disorder, little qualitative research has been conducted to ascertain the reasons for its success, especially from the perspective of those undergoing the treatment. Our qualitative investigation was…

Three studies examined whether mathematics can propel the development of physical understanding. In Experiment 1, 10-year-olds solved balance scale problems that used easy-to-count discrete quantities or hard-to-count continuous quantities. Discrete quantities led to age typical performances. Continuous quantities caused performances like those of…

This paper describes an interdisciplinary project-based mathematics course linked to a computer technology course. The linkage encourages an appreciation of mathematics and technology as students see an immediate use for these skills in completing actual real-world projects. Linking mathematics and technology integrates subjects taught in…

This lesson helps participants examine their own attitudes and feelings about being faced with an unplanned pregnancy and understand the difficult choices involved when women need to make a decision about unplanned pregnancy. The lesson uses brainstorming, discussion, an examination of "case studies," and role-playing to help participants develop…

This study examined perceived coping (perceived problem-solving ability and progress in coping with problems) as a mediator between adult attachment (anxiety and avoidance) and psychological distress (depression, hopelessness, anxiety, anger, and interpersonal problems). Survey data from 515 undergraduate students were analyzed using structural…

The author discusses the definition of the ordinary points and the regular singular points of a homogeneous linear ordinary differential equation (ODE). The material of this note can find classroom use as enrichment material in courses on ODEs, in particular, to reinforce the unit on the Existence-Uniqueness Theorem for solutions of initial value…

In this paper, the author aims to offer an elaboration of simple, yet powerful, mathematical patterns through mathematical games. Mathematical games may serve as colorful instructional tools for teachers and textbooks, and may raise students' motivation and intuition. Patterns are fundamental in mathematics and computer science. In the case of…

A number of research agendas including teaching games for understanding, invasion games tactics, cooperative learning, seeking solutions to ill-defined problems, and examining learner's use of domain specific knowledge share thoughtful decision making as a common denominator. For the most part, each of these research strands have been investigated…

This article describes an integrated problem solving and program development environment, illustrating the application of the system with a detailed case study of a small-scale programming problem. The system, which is based on an explicit cognitive model, is intended to guide the novice programmer through the stages of problem solving and program…

It is likely difficult for academics to think of a college or university that does not have some program of general education (GE). Over the past century, GE's model of liberal learning has become so entrenched in U.S. universities that it is widely seen as the core of the national undergraduate curriculum. In a series of distributed courses that…

In this paper, we describe an innovative approach to promoting effective classroom-based groupwork and the development of children's speaking and listening at Key Stage 1. This approach, known as Thinking Together, was initially developed for use with Key Stage 2 children. The work reported here explains how this approach has now been applied to…

In this article, the authors explain how curriculum-based measurement (CBM) differs from other forms of classroom-based assessment. The development of CBM is traced from computation to concepts and applications to real-life problem solving, with examples of the assessments and illustrations of research to document technical features and utility…

The principal mode of environmental education is to integrate environmental education into science classes. Biology is a life science. To study biology it is necessary to talk about the living environment and the relationship between biological organisms and their environment. Studying biology not only enables students to learn a great deal of…