Bilingualism and multiculturalism have for four decades been official ideologies and policies in Canada but, as is often the case, the implementation and outcomes of such government policies nationally are less impressive than the rhetoric would suggest. This article reviews the political, theoretical and demographic contexts justifying support…

Education in this 21st century is concerned with developing intelligences. Problem solving in real-world contexts involves multiple ways of knowing and learning. Intelligence in the real world involves not only learning how to do things effectively but also more importantly the ability to deal with novelty and growing our capacity to adapt, select…

We present an alternative method in the constructive perspective to enhance student learning through a multimedia project, in which computing and multimedia technologies are used to enable students to participate more actively in their own learning. Students in a second year course in the Multimedia University, Malaysia, used the multimedia…

In this study, 100 Italian eighth graders were divided into two groups to compare the effects of two instructional interventions--the first based on problem-solving through discussion, the second on individual problem-solving--on students' learning of two historical topics (World War I and the economic boom), interest and self-perception of…

This study investigated the role of different modes of representation, i.e., verbal description, decorative pictures, informational pictures and number line, in solving additive change problems. Data were collected from 1447 students in Grades 1, 2, and 3. Structural equations modelling affirmed the existence of four first-order…

This paper reports on an ongoing project to develop an "eLingua" Latin language-learning application that combines natural-language text-input with computer game-based approaches to discovery learning. The program aims to create a content-based immersive environment within which to test the hypothesis that second-language learning is more…

Learning in a socially mediated context like a classroom places emphasis on the ability of learners to communicate their ideas to others, and for members of a class to achieve shared meaning or intersubjectivity (IS). We take a participatory view of IS, where both consensual agreement and disagreement are regarded as aspects of a common set of…

Speaking at a Harvard University commencement 60 years ago, Secretary of State George C. Marshall proposed a massive program of aid and redevelopment--since known as the Marshall Plan--to bring a war-ravaged Europe back to economic health, political stability, and peace. Today colleges and universities need a new such plan, with university…

In this article, the author describes a 200-year-old ladder problem that can carry learners to high levels of mathematical thinking and activity. This problem requires learners to go from a word problem to an equation to a graph and from there to a solution. As this problem of specifics is turned into a problem using variables, technology,…

For the last four years, Soenderholm School, near the town of Aalborg, Northjutland, Denmark, has had an optional subject in the seventh grade called First "Lego" League (FLL). FLL is an international contest which aims to advance pupils' scientific interest. The task is for participants to build and program a "Lego" robot able…

When students are engaged in learning environments that allow for the practice of problem-solving skills, they are able to connect the classroom to the real world. Students with disabilities need to develop the skills of problem solving, and they need to know how to identify a problem, find the answer, and evaluate their choice. This article…

The paper discusses the interaction between intuitive biases of probabilistic thinking and mathematical knowledge. It would appear that students may answer numerical problems correctly but falter on simple descriptive solutions. Students appear to relinquish formal knowledge for simpler heuristics when attempting to describe the outcome of an…

A major preoccupation in assessment is connecting examinees' performance in assessment and nonassessment contexts. This preoccupation has traditionally been framed in terms of generalizability. This article reconceptualizes this problem from a qualitatively different perspective on human abilities and their development, namely, the Sociocultural…

This study is grounded in the theoretical position that solving problems in different ways creates mathematical connections when learning and teaching mathematics. It acknowledges the central role teachers play in providing students with learning opportunities, and it is based on the empirical finding that mathematics teachers are reluctant to…

An important result of physics education research is that students' learning and success in a course is correlated with their beliefs, attitudes, and expectations regarding physics. However, it is hard to assess these beliefs for individual students, and traditional survey instruments such as the Maryland Physics Expectations Survey (MPEX) are…