Technology offers tools and information that students need to explore real-world mathematical connections and investigate questions reflecting their own interests. This article illustrates how students can use technology to gather and interpret information, perform descriptive and graphical analysis, make statistical predictions, and create and…

Argues that reform in curriculum and instruction should be based on students resolving problems rather than mastering skills and applying them. An alternative is proposed that builds on John Dewey's "reflective inquiry," arguing that this approach would facilitate students' understanding. This proposal is compared with other views on the…

A study examined understanding of number line concepts by 4th grade culturally and linguistically diverse (CLD) students (n=30), students with learning disabilities (n=23), and 21 controls. CLD students with disabilities demonstrated difficulty due to several factors beyond lack of language competence, including failure to apply number lines to…

Discusses geometry and Dynamical Geometry Software (DGS). Analyses the way DGS-use influences traditional geometry. Highlights changes in the interactions between geometry, computers, and DGS and human users, focusing on changes in the teaching and learning of geometry. Concludes that DGS deeply changes geometry if it is taken as a human activity…

This article presents specific instructional approaches and examples to develop the algebraic reasoning skills of middle and secondary students with mild disabilities. Discussion of the National Council of Teachers of Mathematics standards identifies general principles, content standards, and process standards. Discussion of effective instruction…

Touts using the schoolyard for teaching mathematics. Mathematics is a way of describing the world and its patterns; schoolyards are especially suited to concept application and problem solving. Mathematics in a natural setting also allows students and teachers to meet learning objectives in more than one subject area. Includes math activities for…

We present a methodology for designing better learning environments. In Phase 1, 6th-grade students' (n = 223) prior knowledge was assessed using a difficulty factors assessment (DFA). The assessment revealed that scaffolds designed to elicit contextual, conceptual, or procedural knowledge each improved students' ability to add and subtract…

To meet the challenge to reform mathematics education, effective opportunities to learn are needed to promote prospective elementary school teachers' development of the knowledge base that supports teaching, for mathematical proficiency. This article describes three professional development interventions and their influence on prospective…

This study investigates the effects of web-based assessment and practice on improving middle school students' mathematics learning attitudes. With the use of an experimental design and a combination of quantitative and qualitative methods, the study compared and contrasted the attitude achievement of students, who used the web-based assessment and…

Critiques five articles from an online research journal in middle-level education on mathematical problem solving, social inclusion of students with disabilities in physical education, school and dispositional aggression among middle school boys, problem-based learning, and students' views of futuristics. Asserts that embracing the view that all…

This study compares the effects of forum discussion with metacognitive guidance versus forum discussion without metacognitive guidance (Forum) on solving real life mathematical tasks and self-regulated learning. Participants were 43 Grade 7 students (boys and girls) who practiced online problem-solving in two classes. The metacognitive guidance…

The study investigates the relationship between memory updating and arithmetic word problem solving. Two groups of 35 fourth graders with high and low memory-updating abilities were selected from a sample of 89 children on the basis of an updating task used by Palladino et al. ["Memory & Cognition" 29 (2002) 344]. The two groups were…

This paper outlines the practical aspects of a project aimed to offer access to numerate knowledge for preschool children by providing them with take-home numeracy kits. A Koori preschool in an urban regional area of New South Wales, Australia, was involved in the project. The centre catered for 18 four- and five-year-old children. The two main…

In this paper, some aspects of French mathematical education theory concerning "problem situations" are taken into account. In this theoretical framework, the choice of problem situations is fundamental in order to allow pupils to make hypotheses, to mobilize their knowledge, to argue, and finally, to construct new knowledge. Certain…

Recent papers document that student problem-solving competence varies (often strongly) with representational format, and that there are significant differences between the effects that traditional and reform-based instructional environments have on these competences [Kohl and Finkelstein, Phys. Rev. ST Phys. Educ. Res. 1, 010104 (2005); Kohl and…