Despite being proficient tool users, young children have surprising difficulty in innovating tools (making novel tools to solve problems). Two experiments found that 4- to 7-year-olds had difficulty on two tool innovation problems and explored reasons for this inflexibility. Experiment 1 (N = 51) showed that children's performance was unaffected…

Analogical reasoning is believed to be an efficient means of problem solving and construction of knowledge during the search for and the analysis of new mathematical objects. However, there is growing concern that despite everyday usage, learners are unable to transfer analogical reasoning to learning situations. This study aims at facilitating…

One danger of integrating inquiry-based problem-solving activities into mathematics lessons is that different strategies could be accepted without in-depth discussions on the cogency and efficiency of the strategies. To overcome this issue, Japanese teachers typically go through a series of lesson-study-based teacher learning sessions and learn…

Co-thought gestures are hand movements produced in silent, noncommunicative, problem-solving situations. In the study, we investigated whether and how such gestures enhance performance in spatial visualization tasks such as a mental rotation task and a paper folding task. We found that participants gestured more often when they had difficulties…

This paper aims to examine how specific aspects of Bakhtin's theoretical perspective might inform our understanding of improvisation. Moreover, it outlines the possible educational implications of such a perspective. Specifically, a sketch of a Bakhtinian conception of improvisation is proposed, a sketch which emphasizes the cultivation of an…

One of the basic presumptions of brainstorming is that a focus on generating a large number of ideas enhances both the number of ideas generated and the number of good ideas (original and useful). Prior research has not clearly demonstrated the utility of such a quantity focus in comparison to a condition in which quantity is not emphasized. There…

Earthquakes, lightning, and history-changing ideas are classic examples of powerful, unpredictable forces of nature. These sorts of phenomena have been difficult to explain and predict, an often frustrating fact as humans try to understand and control the significant influences in our lives. Historically, such phenomena have been attributed to…

This paper introduces the notion that fixation and commitment while designing can be measured by studying the protocol of the design session. It is hypothesized that the dynamic entropy of the linkograph of the protocol provides the basis for such a measurement. The hypothesis is empirically tested using a design protocol and the results…

Mitochondria are surrounded by two membranes (outer and inner mitochondrial membrane) that separate two mitochondrial compartments (intermembrane space and matrix). Hundreds of proteins are distributed among these submitochondrial components. A simple biochemical/immunological procedure is described in this test to determine the localization of…

A simple nonstiff linear initial-value problem is used to demonstrate the amplification of round-off error in the course of using a second-order Runge-Kutta method. This amplification is understood in terms of an appropriate expression for the global error. An implicit method is then used to show how the roundoff error may actually be suppressed.…

Terms to be familiar with before you start to solve the test: ion exchange chromatography, polynucleotides, oligonucleotides, radioactive labeling, template, primer, DNA polymerase, reverse transcriptase, helicase, nucleoside triphosphates, nucleoside diphosphates, nucleoside monophosphates, nucleosides, 5'-end and 3'-end, bacteriophage,…

Extending a recent paper by Derek Holton, we show how to represent the algorithm for the Frog Problem diagrammatically. This diagrammatic representation suggests a simpler proof of the symmetrical case (equal numbers of frogs of each colour) by allowing the even and odd cases to be treated together. It also provides a proof in the asymmetrical…

This special section contributes to an inclusive cognitive model of information problem solving (IPS) activity, touches briefly IPS learning, and brings to the notice methodological pitfalls related to uncovering IPS processes. Instead of focusing on the IPS process as a whole, the contributing articles turn their attention to what is regarded the…

Intentional learning occurs in formal and informal settings throughout an individual's life time. Intentional learning can be deemed as an ideal learning process where all the necessary elements for achieving a goal of effective learning are in place and in order. Intentional learners take an active role in and responsibility for their own…

The article presents a metaphorical set of images that emerged from reflections on practice and the research gathered during that practice in an early childhood summer program. A metaphor is crafted of several blocks that "click together" as pieces of theory and practice intended to provide teachers and teacher educators with examples of…