Purpose: The purpose of this paper is to explore the effectiveness of action design research (ADR), a combination of action research and design science research, when conducting research where both practical relevance and academic rigor are required. Design/methodology/approach: This paper presents ADR in action in order to motivate its use when…

This study examined how working memory plays different roles in open-ended versus closed-ended creative problem-solving processes, as represented by divergent thinking tests and insight problem-solving tasks. With respect to the analysis of different task demands and the framework of dual-process theories, the hypothesis was that the idea…

This paper presents a bibliography of 263 references related to human problem solving, arranged by subject matter. The references were taken from PsycInfo and Academic Premier data-base. Journal papers, book chapters, and dissertations are included. The topics include human development, education, neuroscience, and research in applied settings. It…

Logarithms continue to play an important role in mathematics (most significantly in calculus), science, and engineering. It is therefore important for students to understand logarithms as real numbers as well as the characteristics of logarithmic functions. Exploration of challenges in understanding logarithms as real numbers and logarithmic…

It is well known that the regulation of processes is an important factor in problem solving from Grade 7 to university level (cf. Mevarech & Kramarski, 1997; Schoenfeld, 1985). We do not, however, know much about the problem-solving competencies of younger children (cf. Heinze, 2007, p. 15). Do the results of studies also hold true for…

We attempt to answer the problem "When approaching word problems, do students prefer certain real life application over others?" through two studies involving classroom research. Each study involved students in four college algebra sections in two two-year campuses. Students were presented with a selection of word problems covering a…

In this article Anne Roche describes some of the different types of story problems defined in the Cognitively Guided Instruction professional development program. Teachers will find the table reproduced on page 32 to be very helpful in designing word problems. Roche then gives some suggestions for improving the way division stories are used in the…

Reflection, or consciously thinking about our experiences, is the key to powerful learning. Reflection allows us to analyse our experiences, make informed changes based on our mistakes, maintain successful practices, and build upon or modify our past understandings based on new and emerging knowledge. This paper describes the author's journey…

This article encourages students to think multidimensionally and in a multidisciplinary fashion with this challenge, and choose a team that can support this kind of thinking. Presented is a challenge in which a major home improvement company makes tools and accessories for use by experienced and new homeowners. This company would like to provide…

This study scrutinises approaches and thinking processes displayed by the elementary school students when solving real-world problems. It employed a qualitative inquiry to produce rich and realistic data about the case at hand. The research sample included 116 students. The data were obtained from written exam and semistructured interviews, and…

Today there is a great deal of interest in and a lot of hype about using video games in schools. Video games are a new silver bullet. Games can create good learning because they teach in powerful ways. The theory behind game-based learning is not really new, but a traditional and well-tested approach to deep and effective learning, often…

Data distributions can be represented using different external representations, such as histograms and boxplots. Although the role of external representations has been extensively studied in mathematics, this is less the case in statistics. This study helps to fill this gap by systematically varying the representation that accompanies a task…

The purpose of this study is to research how Chinese university students solve information-based problems. With the Search Performance Index as the measure of search success, participants were divided into high, medium and low-performing groups. Based on their web search logs, these three groups were compared along five dimensions of the search…

What if every middle school student learned to create a robot in math class? What if every middle school had a robotics team? Would students view mathematics differently? Would they have a different relationship with technology? Might they see science and engineering as fields driven by innovation rather than memorization? As students find…

To engage students, many teachers wish to connect the mathematics they are teaching to other branches of mathematics or to real-world applications. The lesson presented in this article, which uses the algebraic skill of finding the equation of a line between two points and the geometric axiom that any two points define a line, does both. A…