Effects of worked examples and algebra problem -solving skill on error and cognitive load

This study determined the levels of algebra problem solving skill at which worked examples promoted learning of further problem solving skill and reduction of cognitive load in college developmental algebra students. Problem solving skill was objectively measured as error production; cognitive load was subjectively measured as perceived mental effort. ^ Sixty-three Ss were pretested, received homework of worked examples or mass problem solving, and posttested. Univarate ANCOVA (covariate = previous grade) were performed on the practice and posttest data. The factors used in the analysis were practice strategy (worked examples vs. mass problem solving) and algebra problem solving skill (low vs. moderate vs. high). Students in the practice phase who studied worked examples exhibited (a) fewer errors and reduced cognitive load, at moderate skill; (b) neither fewer errors nor reduced cognitive load, at low skill; and (c) only reduced cognitive load, at high skill. In the posttest, only cognitive load was reduced. ^ The results suggested that worked examples be emphasized for developmental students with moderate problem solving skill. Areas for further research were discussed. ^

Testing After Worked Example Study Does Not Enhance Delayed Problem-Solving Performance Compared to Restudy

Four experiments investigated whether the testing effect also applies to the acquisition of problem-solving skills from worked examples. Experiment 1 (n=120) showed no beneficial effects of testing consisting of isomorphic problem solving or example recall on final test performance, which consisted of isomorphic problem solving, compared to continued study of isomorphic examples. Experiment 2 (n=124) showed no beneficial effects of testing consisting of identical problem solving compared to restudying an identical example. Interestingly, participants who took both an immediate and a delayed final test outperformed those taking only a delayed test. This finding suggested that testing might become beneficial for retention but only after a certain level of schema acquisition has taken place through restudying several examples. However, experiment 2 had no control condition restudying examples instead of taking the immediate test. Experiment 3 (n=129) included such a restudy condition, and there was no evidence that testing after studying four examples was more effective for final delayed test performance than restudying, regardless of whether restudied/tested problems were isomorphic or identical. Experiment 4 (n=75) used a similar design as experiment 3 (i.e., testing/restudy after four examples), but with examples on a different topic and with a different participant population. Again, no evidence of a testing effect was found. Thus, across four experiments, with different types of initial tests, different problem-solving domains, and different participant populations, we found no evidence that testing enhanced delayed test performance compared to restudy. These findings suggest that the testing effect might not apply to acquiring problem-solving skills from worked examples

Analysis of stiffened plates by the boundary element method

In this paper, a formulation for representation of stiffeners in plane stress by the boundary elements method (BEM) in linear analysis is presented. The strategy is to adopt approximations for the displacements in the central line of the stiffener. With this simplification the Spurious oscillations in the stress along stiffeners with small thickness is prevented. Worked examples are analyzed to show the efficiency of these techniques, especially in the insertion of very narrow sub-regions, in which quasi-singular integrals are calculated, with stiffeners that are much stiffer than the main domain. The results obtained with this formulation are very close to those obtained with other formulations. (C) 2007 Elsevier Ltd. All rights reserved.

Probability and statistics: selected problems

Probability and Statistics—Selected Problems is a unique book for senior undergraduate and graduate students to fast review basic materials in Probability and Statistics. Descriptive statistics are presented first, and probability is reviewed secondly. Discrete and continuous distributions are presented. Sample and estimation with hypothesis testing are presented in the last two chapters. The solutions for proposed excises are listed for readers to references.

Linear algebra: selected problems

Linear Algebra—Selected Problems is a unique book for senior undergraduate and graduate students to fast review basic materials in Linear Algebra. Vector spaces are presented first, and linear transformations are reviewed secondly. Matrices and Linear systems are presented. Determinants and Basic geometry are presented in the last two chapters. The solutions for proposed excises are listed for readers to references.

Modelling the torsional interaction of wire and polyester fibre ropes used for offshore moorings

Oil rig mooring lines have traditionally consisted of chain and wire rope. As production has moved into deeper water it has proved advantageous to incorporate sections of fibre rope into the mooring lines. However, this has highlighted torsional interaction problems that can occur when ropes of different types are joined together. This paper describes a method by which the torsional properties of ropes can be modelled and can then be used to calculate the rotation and torque for two ropes connected in series. The method uses numerical representations of the torsional characteristics of both the ropes, and equates the torque generated in each rope under load to determine the rotation at the connection point. Data from rope torsional characterization tests have been analysed to derive constants used in the numerical model. Constants are presented for: a six-strand wire rope; a torque-balanced fibre rope; and a fibre rope that has been designed to be torque-matched to stranded wire rope. The calculation method has been verified by comparing predicted rotations with measured test values. Worked examples are given for a six-strand wire rope connected, firstly, to a torque-balanced fibre rope that offers little rotational restraint, and, secondly, to a fibre rope whose torsional properties are matched to that of the wire rope.

A practical comparison of blinded methods for sample size reviews in survival data clinical trials.

This paper presents practical approaches to the problem of sample size re-estimation in the case of clinical trials with survival data when proportional hazards can be assumed. When data are readily available at the time of the review, on a full range of survival experiences across the recruited patients, it is shown that, as expected, performing a blinded re-estimation procedure is straightforward and can help to maintain the trial's pre-specified error rates. Two alternative methods for dealing with the situation where limited survival experiences are available at the time of the sample size review are then presented and compared. In this instance, extrapolation is required in order to undertake the sample size re-estimation. Worked examples, together with results from a simulation study are described. It is concluded that, as in the standard case, use of either extrapolation approach successfully protects the trial error rates. Copyright © 2012 John Wiley & Sons, Ltd.

The statistical downscaling model-decision centric (SDSM-DC): conceptual basis and applications

Regional climate downscaling has arrived at an important juncture. Some in the research community favour continued refinement and evaluation of downscaling techniques within a broader framework of uncertainty characterisation and reduction. Others are calling for smarter use of downscaling tools, accepting that conventional, scenario-led strategies for adaptation planning have limited utility in practice. This paper sets out the rationale and new functionality of the Decision Centric (DC) version of the Statistical DownScaling Model (SDSM-DC). This tool enables synthesis of plausible daily weather series, exotic variables (such as tidal surge), and climate change scenarios guided, not determined, by climate model output. Two worked examples are presented. The first shows how SDSM-DC can be used to reconstruct and in-fill missing records based on calibrated predictor-predictand relationships. Daily temperature and precipitation series from sites in Africa, Asia and North America are deliberately degraded to show that SDSM-DC can reconstitute lost data. The second demonstrates the application of the new scenario generator for stress testing a specific adaptation decision. SDSM-DC is used to generate daily precipitation scenarios to simulate winter flooding in the Boyne catchment, Ireland. This sensitivity analysis reveals the conditions under which existing precautionary allowances for climate change might be insufficient. We conclude by discussing the wider implications of the proposed approach and research opportunities presented by the new tool.

A novel quantitative method for analyzing the distributions of nanoparticles between different tissue and intracellular compartments

The penetration, translocation, and distribution of ultrafine and nanoparticles in tissues and cells are challenging issues in aerosol research. This article describes a set of novel quantitative microscopic methods for evaluating particle distributions within sectional images of tissues and cells by addressing the following questions: (1) is the observed distribution of particles between spatial compartments random? (2) Which compartments are preferentially targeted by particles? and (3) Does the observed particle distribution shift between different experimental groups? Each of these questions can be addressed by testing an appropriate null hypothesis. The methods all require observed particle distributions to be estimated by counting the number of particles associated with each defined compartment. For studying preferential labeling of compartments, the size of each of the compartments must also be estimated by counting the number of points of a randomly superimposed test grid that hit the different compartments. The latter provides information about the particle distribution that would be expected if the particles were randomly distributed, that is, the expected number of particles. From these data, we can calculate a relative deposition index (RDI) by dividing the observed number of particles by the expected number of particles. The RDI indicates whether the observed number of particles corresponds to that predicted solely by compartment size (for which RDI = 1). Within one group, the observed and expected particle distributions are compared by chi-squared analysis. The total chi-squared value indicates whether an observed distribution is random. If not, the partial chi-squared values help to identify those compartments that are preferential targets of the particles (RDI > 1). Particle distributions between different groups can be compared in a similar way by contingency table analysis. We first describe the preconditions and the way to implement these methods, then provide three worked examples, and finally discuss the advantages, pitfalls, and limitations of this method.

Operations management

Operations Management is a modern success story that plays an essential role in the success of any organisation. Andrew Greasley provides a clear and accessible introduction to this large area of study, focusing on all the key areas of operations in both manufacturing and service industries. Example boxes provide international, real–life details of operations concepts Worked Examples – step–by–step guides to the procedure to solve quantitative problems End–of–Chapter exercises covering topics for discussion and examples to help develop practical skills Further Reading and Web links – an extra resource to assist students in locating further additional materials Lecturers who adopt this text will find supporting resources on the companion website, including powerpoint slides for each chapter, suggested solutions for case studies and end of chapter exercises, and a multiple–choice test bank.

Casebook on contract law

The law of contract can be a complex and technical subject, rvt the new edition of Jill Poole's Casebook on Contract provides a clear and well-structured exposition of the principles and rules through a comprehensive selection of case law, addressing all aspects encountered on undergraduate courses. Opening with a chapter of valuable advice and guidance on how to successfully develop and improve the essential skills of case-reading, featuring two worked examples, the coverage in this sixth edition expands to incorporate all recent significant decisions and judgments made by the House of Lords and Court of Appeal such as, Director General of Fair Trading v First National Bank plc, Farley v Skinner, Royal Bank of Scotland v Etridge and UCB Corporate Services v Williams. Interesting recent decisions in relation to battle of forms, terms, exemption clauses and misrepresentation are also included. Extracts have been chosen from a wide range of historical and contemporary cases to illustrate the reasoning processes of the court, why decisions are made and how legal principles are developed - enabling cases to be analysed and discussed independently while, taken as a whole, the chapters provide a sound understanding of the modern law of contract. The section on damages for breach of contract has been expanded to reassess Ruxley Electronics and Construction Ltd v Forsyth in the light of Farley v Skinner, the future of Addis v Gramophone Co Ltd is considered in the light of Johnson v Unisys Ltd and Attorney General v Blake is examined in the light of the decision in Esso Petroleum Co Ltd v Niad Ltd. Succinct author comment focuses the reader on the key elements within the extracts, while thought-provoking questions are posed throughout to develop more in-depth analysis. The logical and clear organization of topics has been further improved to more accurately echo the order adopted within the author's popular textbook and closer crossreferencing to this text has been incorporated to highlight where more detailed discussion of issues arising from the caselaw can be explored. As a result, this new edition can be used both as a traditional casebook and as a companion volume to Poole's Textbook on Contract. This edition is also supported by a new companion web site that offers the benefits of essential updating of key materials, sample questions, lists for key further reading sources and relevant web links, additional relevant cases and materials and guidance on successful exam technique. As with previous editions, Casebook on Contract is an invaluable primary source and an essential study aid for all those following elements of contract law as part of the LLB and CPE, as well as for students from related disciplines such as Accounting and Business.

Essential mathematics:a refresher course for business and social studies

Many students starting courses in business, accounting and similar areas want to update their mathematical skills, and are seeking a suitable text; this book addresses their needs. Written in an informal style, emphasising understanding and application of techniques rather than formal proofs, it covers all the mathematics needed by entrants to BTEC, undergraduate, MBA and related professional courses. Plentiful worked examples and exercises with solutions make the book a practical self-study aid for those wishing to revise before starting their course.

Operations management

Operations management deals with the management of the creation of goods and the delivery of services to the customer. It plays an essential role in the success of any organization. In this book, Andrew Greasley provides a clear and accessible introduction to this important area of study, focusing on all key areas of operations in both manufacturing and service industries. Operations Management, Second Edition covers the main areas of operations strategy, the design of the operations system and the management of operations over time. Yet, its concise nature of the text means students are not overwhelmed by the amount of material presented. This new edition also features: New content in such areas such as the quality gap model, enterprise systems and business process management. Expanded case studies, to include more global and European cases and longer cases at the end of each chapter. Greater clarity in chapter material organization. Worked Examples providing a step–by–step guide to the procedure to solve quantitative problems. Visual redesign in full colour. More support material for students and lecturers, including an interactive WileyPLUS course. All lecturers can access supporting resources on the companion website at www.wiley.com/college/greasley including an Instructor’s Manual with suggested solutions for all case study questions and end of chapter exercises, a Test Bank and PowerPoint slides for each chapter. Students will find multiple–choice test quizzes, web–links and an online glossary. Operations Management is essential reading for all students studying operations management, whether on undergraduate, postgraduate or continuing professional development courses.

FASTtrack applied pharmaceutical practice

This revision guide takes the student pharmacist or pharmacy technician through the main stages involved in pharmaceutical dispensing. It gives bullet points of basic information on applied pharmacy practice followed by questions and answers. This reference text accompanies the compulsory dispensing courses found in all undergraduate MPharm programmes and equivalent technical training courses. Changes for the new edition include: * Information on revisions to the community pharmacy contract. * Additional content on new advanced community pharmacy services. * Revised worked examples and student questions. * Updated prescription labelling information, including the use of new cautionary and warning labels. * Updated references and bibliography.

Operations management

Operations Management, 3rd Edition provides a clear and accessible introduction to this important area of study, focusing on all key areas of operations in both manufacturing and service industries. Features: Focuses on the subject from a European perspective. Deals with the management of the creation of goods and the delivery of services to the customer. Covers the main areas of operations strategy, the design of operations system and the management of operations over time. Incorporates more strategic and international commentary. Includes a strategy link section consisting of a paragraph relating each chapter topic to operations strategy. Includes more end of chapter and quantitative exercises. Cases have been updated throughout and now include: Service including public sector, international, a mix of mini–cases and a longer case for each chapter. Accompanied by a comprehensive package of online learning support materials including: A robust testbank featuring 1500 questions, PowerPoint slides and a comprehensive instructor's manual An interactive e–Book is included with every new copy of this text, featuring a wealth of embedded media, including: Animated worked examples, simulations, virtual tours, videos, flashcards and practice quizzes.