In the last column we focused (as a primary goal of instruction) on the importance of teaching so that students learn to think their way into and through content. We stressed the need for well-designed daily structures and tactics for fostering deep learning, offering three strategies as examples. In this column, we provide four additional…

This study is part of a large research and development project aimed at observing, describing and analyzing the learning processes of two seventh grade classes during a yearlong beginning algebra course in a computer intensive environment (CIE). The environment includes carefully designed algebra learning materials with a functional approach, and…

This paper addresses the use of scaffolding in learning contexts that incorporate technologically based novel problems. We suggest that in computer contexts extended conceptualisations of scaffolding are needed in order to gain greater insights into teaching and learning processes. Our work has revealed that traditional forms of scaffolding, based…

Background: Media culture touches most aspects of the lives of children growing up today, beginning at the earliest ages. It is profoundly the lessons children learn as well as how they learn, thereby contributing to what this article characterizes as "remote control childhood." Educators need to understand remote control childhood so…

"Mathematics is more than skills... it is also the excitement of discovery." This is how Derek Holton, one of the contributing authors to this book, defines mathematics. His enthusiasm and energy are echoed throughout by many of the other writers. This is a book to delight mathematics teachers at all stages: experienced and inexperienced;…

There is need to reform teacher education programs through the creation of active learning environments that support and improve the depth and scope of student learning. Specifically, teachers should provide intellectually powerful, learner-centered, and technology-rich environments for students without undermining sound pedagogical practices.…

Discusses inquiry-oriented learning and the role of technology in interactive learning environments. Highlights include instructive environments; constructive environments, for constructing knowledge; communicative environments; situating environments, for problem-solving authentic tasks; and three examples of interactive learning environments.…

How does the type of learning material impact what is learned? The current research investigates the nature of students' learning of math concepts when using manipulatives (Uttal, Scudder, & DeLoache, 1997). We examined how the type of manipulative (concrete, abstract, none) and problem-solving prompt (metacognitive or problem-focused) affect…

The study aimed to examine the relationship between alternative approaches towards problem solving/design teaching (structural or functional), students' mental modeling of the design process, and the quality of their solutions to design tasks. The "structural" approach emphasizes the need for an ordered and systematic learning of the design…

Reasoning and learning are closely related, both being the methods of solving problems, learning usually results from the process of reasoning. All inventions, discoveries, art, literature and advances in culture and civilization are based on thinking, reasoning and problem solving capacity of human being. A sound reasoning leads to better…

Finnish curriculum guidelines for early education emphasise play and creative activities as significant factors in healthy child development. Constructivist theory loosely frames the guidelines, but the recommended approach lacks precise developmental goals. Since 1996, we have carried out a narrative learning project with vertically integrated…

The focus of the article is on the complex cognitive process involved in learning the concept of "straightness" in Non-Euclidean geometry. Learning new material is viewed through a conflict resolution framework, as a student questions familiar assumptions understood in Euclidean geometry. A case study reveals how mathematization of the straight…

"Focus in Grade 1: Teaching with Curriculum Focal Points" describes and illustrates learning paths for the mathematical concepts and skills of each grade 1 Focal Point as presented in Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics. It includes representational supports for teaching and learning that can facilitate…

This book describes and illustrates learning paths for the mathematical concepts and skills of each grade 8 Focal Point as presented in Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics. It includes representational supports for teaching and learning that can facilitate understanding, stimulate productive discussions about…