Addressing students' difficulties with Faraday's law: A guided problem solving approach

In traditional teaching, the fundamental concepts of electromagnetic induction are usually quickly analyzed, spending most of the time solving problems in a more or less rote manner. However, physics education research has shown that the fundamental concepts of the electromagnetic induction theory are barely understood by students. This article proposes an interactive teaching sequence introducing the topic of electromagnetic induction. The sequence has been designed based on contributions from physics education research. Particular attention is paid to the relationship between experimental findings (macroscopic level) and theoretical interpretation (microscopic level). An example of the activities that have been designed will also be presented, describing the implementation context and the corresponding findings. Since implementing the sequence, a considerable number of students have a more satisfactory grasp of the electromagnetic induction explicative model. However, difficulties are manifested in aspects that require a multilevel explanation, referring to deep structures where the system description is better defined.

Distribution of Healthcare resources II.Study and Comparison of a Linear Programming Problem and its Dual. Resolution and Evaluation of a Practical Case and its Programming using Excel and Win QSB.

[EN]This research had as primary objective to model different types of problems using linear programming and apply different methods so as to find an adequate solution to them. To achieve this objective, a linear programming problem and its dual were studied and compared. For that, linear programming techniques were provided and an introduction of the duality theory was given, analyzing the dual problem and the duality theorems. Then, a general economic interpretation was given and different optimal dual variables like shadow prices were studied through the next practical case: An aesthetic surgery hospital wanted to organize its monthly waiting list of four types of surgeries to maximize its daily income. To solve this practical case, we modelled the linear programming problem following the relationships between the primal problem and its dual. Additionally, we solved the dual problem graphically, and then we found the optimal solution of the practical case posed through its dual, following the different theorems of the duality theory. Moreover, how Complementary Slackness can help to solve linear programming problems was studied. To facilitate the solution Solver application of Excel and Win QSB programme were used.

Report upon the commercial fisheries in the Lancashire River Authority Area and their effect upon rod angling and spawning stock in the rivers and particularly the River Lune

The stock of salmon in any river is largely dependent upon the escapement of sufficient fish to ensure that an adequate quantity of ova is deposited and full use is made of all suitable spawning areas. At the present time, no accurate information is available on the numbers of fish entering rivers. Therefore, catch returns provide valuable information on fish stocks. This report summarises the catch returns for salmon in the Lancashire River Authority in the North of England for the years 1960-1964. Rivers included are the Lune, Ribble, Kent, Leven and Duddon.

River Lune juvenile fish stock assessment 1997 with particular reference to salmonids

This report presents data from the juvenile salmonid fish stock assessment which is part of the routine Environment Agency riverine monitoring programme. A total of 110 sites was electrofished throughout the Lune catchment between 15th July 1997 and 14th October 1997. These sites included 84 that had been previously sampled in the last comprehensive survey of the catchment, in 1991. The aim of this survey was to assess the distribution and abundance of juvenile salmon and trout in the River Lune catchment and to compare results with those of previous surveys.

River Lune juvenile fish stock assessment 2002 (annotated draft copy, Site Reports only)

This draft copy of the River Lune juvenile fish stock assessment from 2000 provides "Site Reports" from different water bodies in the Lune catchment. These Site Reports provide brief information on habitat features, fishery classification and comments on species caught and stocking. This document provides no summary or interpretation of the given data.