This book includes two main sections: a discussion of problem solving and a section on computation with whole numbers. A primary theme of the text is that problem solving sets the stage for meaning and conceptual development with respect to numbers. The section on problem solving includes numerous problem-solving activities that have a dual…

As the result of a qualitative investigation into spatial ability, a teaching technique called mentored sketching was found to be effective for teaching visualization skills to freshman engineering students. This contribution describes the technique, how it evolved, and comments made by students as to its effectiveness. While mentored sketching…

Method development and assessment, central components of carrying out chemical research, require problem-solving skills. This article describes a pedagogical approach for teaching these skills through the adaptation of published experiments and application of group-meeting style discussions to the curriculum of an undergraduate instrumental…

This qualitative study provides preliminary insight into the role of the first language (L1) when pairs of intermediate-level college learners of French and Spanish are engaged in consciousness-raising, form-focused grammar tasks. Using conversation analysis of audiotaped interactions and stimulated recall sessions, we explored the ways students…

The article focuses on engaging students in algebra through modeling real-world problems. The technique of least squares is explored, encouraging students to develop a deeper understanding of the method. (Contains 2 figures and a bibliography.)

Teachers need to monitor students' self-efficacy judgments, as well as their mathematics learning, to provide optimal instruction. First, inaccuracies in self-judgments appear to be a major liability for elementary and middle school children. Classroom practice must cultivate the knowledge to succeed and should nurture the belief that one can…

We describe the implementation and effects of group problem solving in recitation sections associated with the general chemistry course at a small private science university. Recitation sections of approximately 45 students are used to supplement large (approximately 180 students) lecture sections. The primary goal of recitation is working in…

"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…

This research aims to explore the role of physical representations in young children's numerical learning then identify the benefits of using a graphical interface in order to understand the potential for developing interactive technologies in this domain. Three studies are reported that examined the effect of using physical representations…

The universities and faculties which educate teachers of mathematics for teaching pupils/students of any age group from pre-school age to higher education carefully monitor and compare valuable results of this research, detect the areas in which the mathematical achievements of pupils should be improved at the national level and propose the ways…

This report examines the importance and efficacy of oral language, literacy, mathematics, and science preschool curricula and how these curricula can be improved through alignment with research on early childhood development and learning. Detailed, research-driven recommendations are presented for what preschool-aged children should be learning in…

Pedagogy and assessment are critical aspects of classroom teaching at all educational levels. Although training in these areas is often a primary focus of university programs preparing pre-service teachers, it is not necessarily part of the training for university faculty. Using survey methodology, this descriptive study investigated the…

Problem based learning (PBL) is a recognised teaching and learning strategy used to engage students in deep rather than surface learning. It is also viewed as a successful strategy to align university courses with the real life professional work students are expected to undertake on graduation (Biggs, 2003). Problem based learning is practised…

Teaching methods often promote fact gathering and memorization rather than the use of those facts to solve complex, realistic problems. Students easily memorize basic facts, steps and procedures, repeating them flawlessly from memory when asked. The problem, however, lies in teaching students how to use these facts and procedures creatively in…