A few case studies have suggested students' struggles with the "temporal order" of epsilon and delta in the formal limit definition. This study problematizes this hypothesis by exploring students' claims in different contexts and uncovering productive resources from students to make sense of the critical relationship between epsilon and…

Abilities in scientific thinking and reasoning have been emphasized as core areas of initiatives, such as the Next Generation Science Standards or the College Board Standards for College Success in Science, which focus on the skills the future will demand of today's students. Although there is rich literature on studies of how these abilities…

A cognitive schema is a mechanism which allows an individual to organize her/his experiences in such a way that a new similar experience can easily be recognised and dealt with successfully. Well-structured schemas provide for the knowledge base for subsequent mathematical activities. A new experience can be assimilated into a previously existing…

The purpose of the study was to investigate the effectiveness of teaching a three-step cognitive strategy (TIP) using the schema broadening procedures on functional mathematical problem solving skills of young adults with intellectual disability (ID). We randomly assigned 14 learners with ID to the control and experimental group before the…

The authors' purpose was to determine the effects of computer-based practice and conceptual interventions on computational fluency and word-problem solving of fourth- and fifth-grade students with mathematics difficulties. A randomized pretest-posttest control group design found that students assigned to the computer-based practice intervention…

Traditional mathematics education focuses on teaching rote procedures to solve problems, though these procedures are not usually motivated by goals. As a result, students have trouble flexibly using procedures and generalizing their knowledge to solve novel problems that differ from the problems they practice during instruction. In the following…

Twenty-one 4th- and 5th-grade students with learning disabilities and emotional disabilities were assigned at random to a control condition or to an experimental condition in which they were taught, over a 9-week period, a five-step self-determination strategy for solving school- or home-related problems. Maintenance was assessed 3 weeks after the…

Often after students solve a problem they believe they have accomplished their mission and stop further exploration. The purpose of this article is to discuss ways to encourage students to "look back" so as to maximise their learning opportunities. According to Polya, by "looking back" at a completed solution, by reconsidering and re-examining the…

Authors outline the advantages of using a cyclical approach of instrumented learning and compare it with the traditional classroom method. (Editor/MB)

Gifted students in grades 6-8 were divided into two experimental groups, one receiving traditional creative problem-solving training and the other receiving creative problem-solving with transfer strategies infused; there was also a control group receiving training in various memory tasks, analogical skills, and logic exercises. After the…

The purpose of this study was to determine effectiveness of a problem-solving curriculum for transition-age students with mental retardation. The interactive training program Solving Your Problems (Browning, n.d.) was used to teach a five-step process for solving problems. Results indicate participants in the training group were able to use the…

Many of the most talented authors and artists of the past and present have shared their thoughts and their gifts with young children through picture books. Many picture books allow young children to explore important ideas and to stretch their minds far beyond rote memorization. Young children absorb knowledge at a very rapid pace. In an age of…

This study examined the effects of a video-case presentation on the behavior analytic skills of 45 preservice elementary teachers. Brief video clips of scripted classroom scenes and 20- 30 minute nonscripted videotaped classroom segments were used to assess teachers' behavior analyses prior to and following video instruction. Participant responses…

The 7th International Conference on Education Data Mining held on July 4th-7th, 2014, at the Institute of Education, London, UK is the leading international forum for high-quality research that mines large data sets in order to answer educational research questions that shed light on the learning process. These data sets may come from the traces…

This volume of the 30th annual proceedings of the International Group for the Psychology of Mathematics Education conference presents: plenary panel papers; research forum papers; short oral communication papers; and poster presentation papers from the meeting. Information relating to discussion groups and working sessions is also provided.…