We address the telling/not-telling dilemma in mathematics education. Telling is instructionally important, but has been downplayed because of (a) perceived inconsistencies between telling and constructivism, (b) increased awareness of the negative consequences of relying too heavily on telling, and (c) a focus on "non-telling" actions as…

This article explores some way that technology can be used to promote mathematical thinking and problem solving. Specifically, it focuses on the use of technology for multiple representations. (Contains 8 figures.)

Fostering students' mathematical thinking requires regularly presenting them with challenging problems and involving them in the processes of mathematical inquiry (e.g., representing and solving problems; making, testing, and justifying conjectures). The Inverting a 36 Penny Triangular Array problem (called the Inverting problem, for short) is a…

This article summarizes results from the National Assessment of Educational Progress (NAEP) and the Third International Mathematics and Science Study (TIMSS) that show measurement education to be a major weakness in the United States, particularly for minority students. The middle school measurement topics assessed by NAEP and TIMSS include…

Incorporating inquiry-based learning in the college-level introductory biology laboratory is challenging because the labs serve the dual purpose of providing a hands-on opportunity to explore content while also emphasizing the development of scientific process skills. Time limitations and variations in student preparedness for college further…

The original work of Alex Osborn making the creative process more explicit, and the following 50 years of research and development on creative problem solving, have made an important and wide-spread contribution to those interested in the deliberate development of creative talent. This article provided a summary of the many versions of creative…

On the occasion of having to design an introductory course of mathematics for the University (UNGS, Buenos Aires, Argentina) we took into account the perspective of mathematical modelling. In this article we present the theoretical framework that we elaborated on to design our course. This framework allowed us to adapt the generic perspectives of…

The authors conducted a randomized clinical trial of individual psychotherapy for women with posttraumatic stress disorder (PTSD) related to childhood sexual abuse (n = 74), comparing cognitive-behavioral therapy (CBT) with a problem-solving therapy (present-centered therapy; PCT) and to a wait-list (WL). The authors hypothesized that CBT would be…

An active learning environment is one in which students are able to "seek" out new experiences, "interpret" them, and "relate" them to previous experiences. This approach allows students to engage in independent thinking, problem solving, and guided discovery as they explore broad movement concepts. An active learning means that students are…

Evidence of public and private interest in programs designed to strengthen the institution of marriage and reduce the number of children growing up without both their parents is growing. Robin Dion addresses the question of whether such programs can be effective, especially among disadvantaged populations. She begins by describing a variety of…

The Other 3Rs Project began with an investigation into the most important psychological components of academic success. The research pointed to reasoning, resilience, and responsibility. The objective of the project was to integrate these components into a useful problem solving model that could, with practice and guidance, be applied both inside…

Building on the conceptual foundations suggested in the previous two papers in this issue, this article describes the application of a workplace learning cycle theory to the construction of a curriculum for a graduate-level course of study in workplace education. As a way to prepare chief learning officers and heads of corporate universities, the…

Case study teaching provides a bridge between the world of theory and the world of practice. In addition, case teaching enhances students' analytical and problem-solving skills and gives students the opportunity to engage in shared problem solving. Undisguised cases have certain advantages as teaching tools. First, undisguised cases give case…

In this article, we discuss the use of client-driven projects--projects that are posed by business, government, and non-profit organizations and based upon real problems facing the organization. Although client-driven projects have long been used in business and engineering education, their use in the mathematics classroom is rare. Client-driven…

Seven years of industrial experience followed by 30 years of academic research and teaching in structural engineering have led the author to believe that the prime objective of a university design course is not the design project itself but to train students to solve problems, as this will last them throughout their careers. It is shown how design…