The National Council of Teachers of Mathematics (NCTM)'s Process Standards support teaching that helps children develop independent, effective mathematical thinking. The books in the Heinemann Math Process Standards Series give every primary teacher the opportunity to explore each standard in depth. With language and examples that don't require…

"The Handbook of Latent Semantic Analysis" is the authoritative reference for the theory behind Latent Semantic Analysis (LSA), a burgeoning mathematical method used to analyze how words make meaning, with the desired outcome to program machines to understand human commands via natural language rather than strict programming protocols.…

Response to Intervention (RTI) provides a challenge for schools to deliver appropriate and scientifically validated reading instruction to all students through a three-tier model. While many educators recognize the need for a strong core-reading program (Tier 1), interventions for Tier 2 and Tier 3 students remain more difficult to implement. We…

Problem-based learning (PBL) is a powerful instructional approach. By working through assessable complex problem-solving tasks learners can be encouraged to actively engage in investigation and inquiry and to use high level cognitive thought processes to solve real-life problems in professional contexts. A critical element of a successful PBL…

This case study examines the performances of 18 10th-grade students (age 15-16 years) in the process of performing problem-solving tasks in the physics and chemistry laboratory. The study focuses on different types of problems arising in the process of transferring responsibility to students in a context of teacher assistance to autonomous…

Simple nongraphing calculators can be powerful tools to enhance students' conceptual understanding of mathematics concepts. Students have opportunities to develop (1) a broad repertoire of problem-solving strategies by observing multiple solution strategies; (2) respect for other students' abilities and ways of thinking about mathematics; (3) the…

A study on the effect of a structured problem-solving strategy on problem-solving skills and conceptual understanding of physics was undertaken with 189 students in 16 disadvantaged South African schools. This paper focuses on the development of conceptual understanding. New instruments, namely a solutions map and a conceptual index, are…

Accommodations influence the measurement of student proficiency. However, with discrepant research findings, it is difficult to evaluate the effects of these practices on the measurement of performance of students with special needs. In this article, we present results from an experimental study investigating the effects of item characteristics…

Teaching and learning fractions has traditionally been one of the most problematic areas in primary school mathematics. Several studies have suggested that one of the main factors contributing to this complexity is that fractions comprise a multifaceted notion encompassing five interrelated subconstructs (i.e., part-whole, ratio, operator,…

Research in the disciplines of education, science education, and environmental education has a rich history. While research in Education for Sustainable Development (ESD) may be related to these traditions, there is a need for ESD to carve a new niche that promotes high quality and effective ESD programmes. With an eye towards practice and applied…

This article begins with a comparison of two groups of teachers, working on the same tasks in Analytic Geometry. One group has only basic experience in CAS-assisted problem solving, and the other group has extensive experience. The comparison is discussed in terms of the interplay between reflection, operative knowledge and execution. The findings…

In this article, Judith V. Boettcher provides ten core learning principles that can guide technology-enhanced teaching as well as more traditional forms of instruction. Drawn from both traditional pedagogical theory as well as current research about how people learn, the ten principles integrate these findings in a helpful set of guidelines that…

It is important for students to develop critical thinking and other higher-order thinking skills during their tertiary studies. Along with the ability to think critically comes the need to develop students' meta-cognitive skills. These abilities work together to enable students to control, monitor, and regulate their own cognitive processes and…

A present-day engineer has a large scientific knowledge; he is a team-player, eloquent communicator and life-long learner. At the Katholieke Universiteit Leuven, the course "Problem Solving and Engineering Design" introduces engineering students from the first semester onwards into real engineering practice and teamwork. Working in small…

For over a decade it has been a common observation that a "fog" passes over the course in linear algebra once abstract vector spaces are presented. See [2, 3]. We show how this fog may be cleared by having the students translate "abstract" vector-space problems to isomorphic "concrete" settings, solve the "concrete" problem either by hand or with…