Incubation has long been proposed as a mechanism in creative problem solving (Wallas, 1926). A new trial-by-trial method for observing incubation effects was used to compare the forgetting fixation hypothesis with the conscious work hypothesis. Two experiments examined the effects of incubation on initially unsolved Remote Associates Test (RAT)…

Terms to be familiar with before you start to solve the test: the genetic code, codon, degenerate codons, protein synthesis, aminoacyl-tRNA, anticodon, antiparallel orientation, wobble, unambiguous codons, ribosomes, initiation, elongation and termination of translation, peptidyl transferase, translocation, degenerate oligonucleotides, green…

A square can be divided into two equal parts with any cut through the center. The first question that arises is, Would any cut through the center of a regular polygon divide it into two equal parts? If not, the second question is, What kind of lines through the center of the polygon would cut it into two halves? However, many objects are not…

We present a "base x height" approach to familiar results of Archimedes on the area of a parabolic sector. (Contains 1 figure.)

This paper analyses the difficulties which Spanish student teachers have in solving the PISA 2003 released items. It studies the role played by the type and organisation of mathematical knowledge in the activation of competencies identified by PISA with particular attention to the function of contextual knowledge. The results of the research lead…

In "How to Solve It", accomplished mathematician and skilled communicator George Polya describes a four-step universal solving technique designed to help students develop mathematical problem-solving skills. By providing a glimpse at the grace with which experts solve problems, Polya provides definable methods that are not exclusive to…

We report on a study of the forced van der Pol equation x + [epsilon](x[superscript 2] - 1)x + x = F cos[omega]t, by solving numerically the differential equation for a variety of values of the parameters [epsilon], F and [omega]. In doing so, many striking and interesting trajectories can be discovered and phenomena such as frequency entrainment,…

Terms to be familiar with before you start to solve the test: polymerase chain reaction, DNA amplification, electrophoresis, breast cancer, "HER2" gene, genomic DNA, "in vitro" DNA synthesis, template, primer, Taq polymerase, 5[prime][right arrow]3[prime] elongation activity, 5[prime][right arrow]3[prime] exonuclease activity, deoxyribonucleoside…

This paper explores the issue of how students might learn about sustainability in technology--education classrooms and the relevance of problem-solving in that learning. One of the emerging issues in technology education research is the nature of problem-solving specified in curriculum documents and the kinds of learning activities undertaken by…

Terms to be familiar with before you start to solve the test: human papilloma virus; cervical cancer; oncoproteins; malignant transformation; retinoblastoma protein; cell cycle; quiescent and cycling cells; cyclin/cyclin-dependent kinase (Cdk) complexes; E2F; S-phase genes; enhancer element; proto-oncogenes; tumor suppressor genes; radioactive…

Maternal behaviors and child mastery behaviors were examined in 25 children with Down syndrome and 43 typically developing children matched for mental age (24-36 months). During a shared problem-solving task, there were no group differences in maternal directiveness or support for autonomy, and mothers in the two groups used similar verbal…

The purpose of this study was to examine determinants of student dropout rate in seven second cycle primary schools situated in Awi Zone. To effectuate this, descriptive survey research design was adopted for the study. The data were collected via questionnaire and interview from teachers, students who had dropped out of school, school principals…

New Zealand schools increasingly use inquiry to understand and address complex and persistent issues. This requires schools to have committed Lead Teachers with deep knowledge about inquiry. The collection of studies in this book have been compiled by the research team at the Woolf Fisher Research Centre, University of Auckland, to illustrate the…

This article presents an instructional model for teaching a gateway history course that affects students by: 1) improving their ability to think at higher levels; 2) increasing engagement; and 3) enhancing their perception of the relevancy of the course material in comparison to traditional lecture and discussion. The model includes problem-based…

Over the last decade, WebQuests have grown in popularity in educational environments. In order to effectively implement a WebQuest in the classroom, best pedagogical practices must be employed; however, these best WebQuest practices should reflect the exigent 21st century skills students need to be successful, productive members of the global…