Since the first descriptions of design research (DR), there have been calls to better define it to increase its rigour. Yet five uncertainties remain: (1) the processes for conducting DR, (2) how DR differs from other forms of research, (3) how DR differs from design, (4) the products of DR, and (5) why DR can answer certain research questions…

There has been much controversy over the null hypothesis significance testing procedure, with much of the criticism centered on the problem of inverse inference. Specifically, p gives the probability of the finding (or one more extreme) given the null hypothesis, whereas the null hypothesis significance testing procedure involves drawing a…

Background: In science education today, there is an emerging focus on what is happening in situ, making use of an array of analytical traditions. Common practice is to use one specific analytical framing within a research project, but there are projects that make use of multiple analytical framings to further the understanding of the same data,…

Research in the engineering field is often entrenched in the quantitative paradigm. Recent literature and studies have realised that not all research questions in engineering can be addressed through quantitative approaches. These areas include studies in engineering professional development, education and gender issues. This article describes one…

Student attrition continues to be a significant and costly challenge for higher education institutions across the globe. In Australia, universities cite the importance of addressing student attrition through strategic statements and policy documents, and expend time and resources on the problem. Despite vast expenditures, they have made little…

I found the need to explore the difficulties faced by Arabic-speaking English language learners studying mathematics as soon as I moved to the United Arab Emirates. Thus, I began a line of research that aimed to explain and understand these issues and find effective teaching strategies for the students. This case study describes the first research…

This paper provides a critical examination of the current state and future possibility of formal cognitive theory for insight problem solving and its associated "aha!" experience. Insight problems are contrasted with move problems, which have been formally defined and studied extensively by cognitive psychologists since the pioneering…

Selection bias is a problem for mathematics education researchers interested in using observational rather than experimental data to make causal inferences about the effects of different instructional methods in mathematics on student outcomes. Propensity score methods represent 1 approach to dealing with such selection bias. This article…

There has been criticism about STEM education not focusing enough on problem solving, especially in authentic real-world contexts which are most often associated to ill-structured domains. To improve education, it is essential that curricula bring students to high levels of cognitive development by exposing them to authentic problems.…

Results on human performance on the Traveling Salesman Problem (TSP) from different laboratories show high consistency. However, one exception is in the area of individual differences. While one research group has consistently failed to find systematic individual differences across instances of TSPs (Chronicle, MacGregor and Ormerod), another…

The author discusses the phenomenon of incubation in creative problem solving, distinguishes it from "creative worrying" and "tip of the tongue" experiences, and reviews research to indicate a lack of evidence of incubation's existence in well-controlled studies. Note: For related information, see EC 120 232-238. (CL)

A total of 61 children from first through sixth grades participated in four balance-scale and four inclined-plane problem types in a study testing for invariance of subject classifications as rule-users across problems whose products differed but whose type did not. Results indicated that many children's classifications differed across…

Although over 5,000 children and adolescents commit suicide annually, little is known about suicidal thinking of normal children. Due to ethical considerations, researchers must be sensitive to the possibility that they could introduce suicide as an option to a child. A methodology was developed to examine suicidal thinking through projected…

The outcomes of collaboration provide an incomplete and potentially misleading picture of cognitive change, one that is clarified by examining the collaborative processes themselves. Results from a study illustrate the dangers of focusing solely on the consequences of collaboration and emphasize why the analysis of collaborative processes is…

The narratives of more than 300 qualitative researchers about problems and solutions attempted during research were collected and analyzed to develop three successive descriptive-interpretive frameworks for understanding researchers' lived experiences during the shift from single to multiple research paradigms. The need for more reflective…