In the Netherlands, national assessments at the end of primary school (Grade 6) show a decline of achievement on problems of complex or written arithmetic over the last two decades. The present study aims at contributing to an explanation of the large achievement decrease on complex division, by investigating the strategies students used in…

Monk and Osborne ("Sci Educ" 81:405-424, 1997) provide a rigorous justification for why history and philosophy of science should be incorporated as an integral component of instruction and a model for how history of science should be used to promote learning of and about science. In the following essay we critique how history of science is used on…

This article compares the academic performance and classroom behaviour of pupils when taught new concepts or engaged in problem solving in sessions organised either as cooperative group work or whole class, teacher directed instruction. Comparisons of attainment were made in classes of pupils aged 11 to 14 years (Key Stage 3) in English,…

The 13th iteration of the International Conference on Educational Data Mining (EDM 2020) was originally arranged to take place in Ifrane, Morocco. Due to the SARS-CoV-2 (coronavirus) epidemic, EDM 2020, as well as most other academic conferences in 2020, had to be changed to a purely online format. To facilitate efficient transmission of…

These proceedings contain the papers of the 16th International Conference on Cognition and Exploratory Learning in the Digital Age (CELDA 2019), held during November 7-9, 2019, which has been organized by the International Association for Development of the Information Society (IADIS) and co-organised by University Degli Studi di Cagliari, Italy.…

A century ago, John Dewey proposed educating children through a curriculum rich in real-life problem-solving experiences. While many traditional schools have been slow to adopt such methods, experiential learning is making a significant impact in alternative education, youth development, and treatment settings. Challenge and adventure activities…

The theory and application of second-order linear ordinary differential equations is reviewed from the standpoint of the operator factorization approach to the solution of ordinary differential equations (ODE). Using the operator factorization approach, the general second-order linear ODE is solved, exactly, in quadratures and the resulting…

This article discusses ways to integrate reading into mathematics using environmental print or real-time text. (Contains 2 tables and 4 figures.)

Artifact knowledge requires integration of information from different areas of human commonsense knowledge--our everyday understanding of object mechanics and our everyday psychology. Here, we address the question of artifact conceptual structure, outlining evidence from tasks involving categorization, function judgments, and problem solving.

Comments on the article by R. J. Hackman and R. Wageman (see record 2006-23492-007) which offered several research questions that should be productive for furthering leadership research. This comment summarizes some recent progress on one of those questions, "Not what are the traits of leaders, but how do leaders' personal attributes interact with…

We present an approach of defining certain transcendental functions as solutions to initial value problems or systems of such problems. This material is suitable for use in a second-semester one-variable calculus course.

As the topic of relativity is developed in a first-year physics class, there seems to be a tendency to move as quickly as possible to the fascinating ideas set forth in Einstein's special theory of relativity. In this paper we linger a little with the Galilean side of relativity and discuss an intriguing problem and its solution to illustrate a…

In this article, the author discusses Sudoku--a logic puzzle that has appeared in many newspapers in recent years. In its introductory form it consists of a 9x9 grid in which the digits 1 to 9 inclusive are each to be placed nine times in the 81 separate cells of the grid. Each row and each column may not have any digit repeated. If these were the…

We investigate the problem of the horizontal distance travelled by a mobile experiencing a quadratic drag force. We show that by introducing a normalized distance, the problem can be greatly simplified. In order to parametrize this distance, we use the Pearson VII function, and we find that the optimal launch angle as a function of the initial…

The problem of motorbike feathering has been analysed by writing the angular momentum theorem for non-inertial reference systems. The acceleration, for which the ideal line joining the median points of the axles of the two wheels makes an angle [theta] with the horizontal, has been calculated neglecting air friction and considering that the…