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| another term for problem solving: Problem Solving in Organizations Joan Ernst van Aken, Hans Berends, 2018-02-08 An indispensable guide enabling business and management students to develop their professional competences in real organizational settings, this new and fully updated edition of Problem Solving in Organizations equips the reader with the necessary toolkit to apply the theory to practical business problems. By encouraging the reader to use the theory and showing them how to do so in a fuzzy, ambiguous and politically charged, real-life organizational context, this book offers a concise introduction to design-oriented and theory-informed problem solving in organizations. In addition, it gives support for designing the overall approach to a problem-solving project as well as support for each of the steps of the problem-solving cycle: problem definition, problem analysis, solution design, interventions, and evaluation. Problem Solving in Organizations is suitable for readers with a wide range of learning objectives, including undergraduates and graduates studying business and management, M.B.A students and professionals working in organizations. |
| another term for problem solving: Bulletproof Problem Solving Charles Conn, Robert McLean, 2019-03-04 Complex problem solving is the core skill for 21st Century Teams Complex problem solving is at the very top of the list of essential skills for career progression in the modern world. But how problem solving is taught in our schools, universities, businesses and organizations comes up short. In Bulletproof Problem Solving: The One Skill That Changes Everything you’ll learn the seven-step systematic approach to creative problem solving developed in top consulting firms that will work in any field or industry, turning you into a highly sought-after bulletproof problem solver who can tackle challenges that others balk at. The problem-solving technique outlined in this book is based on a highly visual, logic-tree method that can be applied to everything from everyday decisions to strategic issues in business to global social challenges. The authors, with decades of experience at McKinsey and Company, provide 30 detailed, real-world examples, so you can see exactly how the technique works in action. With this bulletproof approach to defining, unpacking, understanding, and ultimately solving problems, you’ll have a personal superpower for developing compelling solutions in your workplace. Discover the time-tested 7-step technique to problem solving that top consulting professionals employ Learn how a simple visual system can help you break down and understand the component parts of even the most complex problems Build team brainstorming techniques that fight cognitive bias, streamline workplanning, and speed solutions Know when and how to employ modern analytic tools and techniques from machine learning to game theory Learn how to structure and communicate your findings to convince audiences and compel action The secrets revealed in Bulletproof Problem Solving will transform the way you approach problems and take you to the next level of business and personal success. |
| another term for problem solving: Educational Research and Innovation The Nature of Problem Solving Using Research to Inspire 21st Century Learning OECD, 2017-04-11 Solving non-routine problems is a key competence in a world full of changes, uncertainty and surprise where we strive to achieve so many ambitious goals. But the world is also full of solutions because of the extraordinary competences of humans who search for and find them. |
| another term for problem solving: Problem-Solving Strategies Arthur Engel, 2008-01-19 A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a problem of the week, thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market. |
| another term for problem solving: Toward a Unified Theory of Problem Solving Mike U. Smith, 2012-11-12 One of the most active fields of educational research in recent years has been the investigation of problem-solving performance. Two opposing views of current research -- one suggesting that there are more differences than similarities within different domains, and the other stating that there is great similarity -- lead to a variety of questions: * Is problem solving a single construct? * Are there aspects of problem-solving performance that are similar across a variety of content domains? * What problem-solving skills learned within one context can be expected to transfer to other domains? The purpose of this book is to serve as the basis for the productive exchange of information that will help to answer these questions -- by drawing together preliminary theoretical understandings, sparking debate and disagreement, raising new questions and directions, and perhaps developing new world views. |
| another term for problem solving: A Mind for Numbers Barbara A. Oakley, 2014-07-31 Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. In her book, she offers you the tools needed to get a better grasp of that intimidating but inescapable field. |
| another term for problem solving: Social Problem Solving and Offending Mary McMurran, James McGuire, 2005-09-27 The evidence for social problem solving deficits being relevant to the understanding and treatment of offending behaviour has been accumulating since the 1980s. Reasoning and Rehabilitation (R&R), the first structured cognitive-behavioural treatment programme used widely with prisoners, included social problem solving as a key component and is now in use worldwide. More recently, interventions that focus specifically on social problem solving have recently been developed. Arranged in three parts (evidence, evaluation and evolution and exploration), this book draws together aetiological and therapeutic research evidence and practice over the last twenty years in social problem-solving with offenders. |
| another term for problem solving: The Psychology of Problem Solving Janet E. Davidson, Robert J. Sternberg, 2003-06-09 Problems are a central part of human life. The Psychology of Problem Solving organizes in one volume much of what psychologists know about problem solving and the factors that contribute to its success or failure. There are chapters by leading experts in this field, including Miriam Bassok, Randall Engle, Anders Ericsson, Arthur Graesser, Keith Stanovich, Norbert Schwarz, and Barry Zimmerman, among others. The Psychology of Problem Solving is divided into four parts. Following an introduction that reviews the nature of problems and the history and methods of the field, Part II focuses on individual differences in, and the influence of, the abilities and skills that humans bring to problem situations. Part III examines motivational and emotional states and cognitive strategies that influence problem solving performance, while Part IV summarizes and integrates the various views of problem solving proposed in the preceding chapters. |
| another term for problem solving: Encyclopedia of the Sciences of Learning Norbert M. Seel, 2011-10-05 Over the past century, educational psychologists and researchers have posited many theories to explain how individuals learn, i.e. how they acquire, organize and deploy knowledge and skills. The 20th century can be considered the century of psychology on learning and related fields of interest (such as motivation, cognition, metacognition etc.) and it is fascinating to see the various mainstreams of learning, remembered and forgotten over the 20th century and note that basic assumptions of early theories survived several paradigm shifts of psychology and epistemology. Beyond folk psychology and its naïve theories of learning, psychological learning theories can be grouped into some basic categories, such as behaviorist learning theories, connectionist learning theories, cognitive learning theories, constructivist learning theories, and social learning theories. Learning theories are not limited to psychology and related fields of interest but rather we can find the topic of learning in various disciplines, such as philosophy and epistemology, education, information science, biology, and – as a result of the emergence of computer technologies – especially also in the field of computer sciences and artificial intelligence. As a consequence, machine learning struck a chord in the 1980s and became an important field of the learning sciences in general. As the learning sciences became more specialized and complex, the various fields of interest were widely spread and separated from each other; as a consequence, even presently, there is no comprehensive overview of the sciences of learning or the central theoretical concepts and vocabulary on which researchers rely. The Encyclopedia of the Sciences of Learning provides an up-to-date, broad and authoritative coverage of the specific terms mostly used in the sciences of learning and its related fields, including relevant areas of instruction, pedagogy, cognitive sciences, and especially machine learning and knowledge engineering. This modern compendium will be an indispensable source of information for scientists, educators, engineers, and technical staff active in all fields of learning. More specifically, the Encyclopedia provides fast access to the most relevant theoretical terms provides up-to-date, broad and authoritative coverage of the most important theories within the various fields of the learning sciences and adjacent sciences and communication technologies; supplies clear and precise explanations of the theoretical terms, cross-references to related entries and up-to-date references to important research and publications. The Encyclopedia also contains biographical entries of individuals who have substantially contributed to the sciences of learning; the entries are written by a distinguished panel of researchers in the various fields of the learning sciences. |
| another term for problem solving: Educational Computing and Problem Solving W Michael Reed, John K Burton, 2019-11-14 First published in 1988. Professionals who are on the cutting edge of educational computing discuss, in this provocative new book, one of the most exciting prospects of the field--harnessing the power of the computer to enhance the development of problem-solving abilities. Here is everything that educators will need to know to use computers to improve higher level skills such as problem solving and critical thinking. Current aspects of problem-solving theory, a philosophical case for including programming languages in the curriculum, state-of-the-art research on computers and problem solving, and a look at problem-solving software are included in this comprehensive volume. The research and its application to instruction are grounded in problem-solving theory--making this book a unique and critical addition to the existing literature. |
| another term for problem solving: Problem Solving S. Ian Robertson, 2003-09-02 Problem solving is an integral part of everyday life yet few books are dedicated to this important aspect of human cognition. In each case, the problem, such as solving a crossword or writing an essay, has a goal. In this comprehensive and timely textbook, the author discusses the psychological processes underlying such goal-directed problem solving, and examines both how we learn from experience of problem solving and how our learning transfers (or often fails to transfer) from one situation to another. Following initial coverage of the methods we use to solve unfamiliar problems, the book goes on to examine the psychological processes involved in novice problem solving before progressing to the methods and processes used by skilled problem solvers or experts. Topics covered include: how we generate a useful representation of a problem as a starting point; general problem solving strategies we use in unfamiliar situations; possible processes involved in insight or lateral thinking; the nature of problem similarity and the role of analogies in problem solving; understanding and learning from textbooks; and how we develop expertise through the learning of specific problem solving skills. Clear, up-to-date and accessible, Problem Solving will be of interest to undergraduates and postgraduates in cognitive psychology, cognitive science, and educational psychology. The focus on the practical transfer of learning through problem solving will also make it of relevance to educationalists and business psychologists. |
| another term for problem solving: Problem Solving Strategies Ebbo Westerhof, 2021-03-12 This eBook will also help you improve your decision making capacity, and allow you to make full use of your potential, in understanding how the human brain works and how you can successfully improve your life by making the best use of your mind power. |
| another term for problem solving: Problem-solving John E. Eck, 1987 |
| another term for problem solving: Problem Solving and Intelligence Helga A. H. Rowe, 2024-03-08 Originally published in 1985, Problem Solving and Intelligence was the result of the author’s efforts to understand the nature of human intelligence and the differences in the cognitive functioning of individuals which we observe again and again. The book contains two types of material. First it presents an overview of major contributions to the conceptualization and investigation of problem solving and intelligence, which was derived from the extensive, largely non-cumulative literature at the time. Second it reports a comprehensive, empirical study of the manifestation of intelligence in problem solving. The subject matter was at the interface of three traditional areas of psychological inquiry: namely, the study of cognitive processes, individual differences, and the characteristics of the stimulus. What was innovative is that intellectual performance is investigated in relation to the simultaneous operation of variables from these dimensions. The book was intended, primarily, as a contribution to the understanding and investigation of the nature of intelligent behavior, as well as an introduction to intelligence and problem solving. Today it can be read and enjoyed in its historical context. |
| another term for problem solving: Problem Solving for Engineers David G. Carmichael, 2013-06-04 This book takes a systematic approach to problem definition, generation of alternative solutions, analysis, and selection of the preferred solution. The book introduces fundamental terms needed to think systematically and undertake systematic problem solving and covers individual and group problem solving. It discusses the selection of the preferred solution involves decision making and fundamental concepts of decision making, including decision making in the presence of multiple criteria and uncertainty. The treatment embodies decision making for sustainability, with its blend of economics, social, and environmental considerations. |
| another term for problem solving: Problem Solving in the Mathematics Classroom Ana Kuzle, Benjamin Rott, Tatjana Hodnik Cadez, 2016-06-30 Problem solving is a cornerstone of the school mathematics curricula in many countries, as it is an essential part of mathematical knowledge and performance. Implementation of problem solving in school mathematics is also important for meeting society’s needs with respect to work, school, and life – as well as for stimulating the interest and enthusiasm of students. Countries such as Finland, Germany, Hungary, and Slovenia have a long tradition of problem solving in school mathematics. Each country has faced its own specific challenges when adopting problem solving as a constituent part of school mathematics. But through this process they have gained experience and discovered chances for integrating problem solving into mathematics lessons. The heart of achieving this mission lies in choosing good mathematical problems. Good mathematical problems are those that are not too difficult and not too easy, are interesting, challenging, and mathematically rich. They should invite students to conjecture and to explore different strategies, support extending their existing knowledge, and allow for problem extension. In this book, the reader will find such rich mathematical problems – targeting students at different school levels – that can help cultivate a problem solving culture. The book provides the coherence and direction from different perspectives that practitioners need when integrating problem solving into their teaching practices and using problem solving to teach mathematics. We believe, that the processes which accompany problem solving, contribute to both the development of students’ mathematical reasoning and to the development of their sense of autonomy. |
| another term for problem solving: Toyota Kata: Managing People for Improvement, Adaptiveness and Superior Results Mike Rother, 2009-09-04 Toyota Kata gets to the essence of how Toyota manages continuous improvement and human ingenuity, through its improvement kata and coaching kata. Mike Rother explains why typical companies fail to understand the core of lean and make limited progress—and what it takes to make it a real part of your culture. —Jeffrey K. Liker, bestselling author of The Toyota Way [Toyota Kata is] one of the stepping stones that will usher in a new era of management thinking. —The Systems Thinker How any organization in any industry can progress from old-fashioned management by results to a strikingly different and better way. —James P. Womack, Chairman and Founder, Lean Enterprise Institute Practicing the improvement kata is perhaps the best way we've found so far for actualizing PDCA in an organization. —John Shook, Chairman and CEO, Lean Enterprise Institute This game-changing book puts you behind the curtain at Toyota, providing new insight into the legendary automaker's management practices and offering practical guidance for leading and developing people in a way that makes the best use of their brainpower. Drawing on six years of research into Toyota's employee-management routines, Toyota Kata examines and elucidates, for the first time, the company's organizational routines--called kata--that power its success with continuous improvement and adaptation. The book also reaches beyond Toyota to explain issues of human behavior in organizations and provide specific answers to questions such as: How can we make improvement and adaptation part of everyday work throughout the organization? How can we develop and utilize the capability of everyone in the organization to repeatedly work toward and achieve new levels of performance? How can we give an organization the power to handle dynamic, unpredictable situations and keep satisfying customers? Mike Rother explains how to improve our prevailing management approach through the use of two kata: Improvement Kata--a repeating routine of establishing challenging target conditions, working step-by-step through obstacles, and always learning from the problems we encounter; and Coaching Kata: a pattern of teaching the improvement kata to employees at every level to ensure it motivates their ways of thinking and acting. With clear detail, an abundance of practical examples, and a cohesive explanation from start to finish, Toyota Kata gives executives and managers at any level actionable routines of thought and behavior that produce superior results and sustained competitive advantage. |
| another term for problem solving: Posing and Solving Mathematical Problems Patricio Felmer, Erkki Pehkonen, Jeremy Kilpatrick, 2016-04-29 This book collects recent research on posing and solving mathematical problems. Rather than treating these two crucial aspects of school mathematics as separate areas of study, the authors approach them as a unit where both areas are measured on equal grounds in relation to each other. The contributors are from a vast variety of countries and with a wide range of experience; it includes the work from many of the leading researchers in the area and an important number of young researchers. The book is divided in three parts, one directed to new research perspectives and the other two directed to teachers and students, respectively. |
| another term for problem solving: Linguistic and Cultural Influences on Learning Mathematics Rodney R. Cocking, Jose P. Mestre, 2013-03-07 The combined impact of linguistic, cultural, educational and cognitive factors on mathematics learning is considered in this unique book. By uniting the diverse research models and perspectives of these fields, the contributors describe how language and cognitive factors can influence mathematical learning, thinking and problem solving. The authors contend that cognitive skills are heavily dependent upon linguistic skills and both are critical to the representational knowledge intimately linked to school achievement in mathematics. |
| another term for problem solving: Problem-Solving Therapy Arthur M. Nezu, PhD, ABPP, Christine Maguth Nezu, PhD, ABPP, Thomas J. D'Zurilla, PhD, 2012-12-11 Problem-Solving Therapy: A Treatment Manual is a laudable and distinctive resource that contributes to contemporary and exemplary psychotherapy in a big way.--New England Psychologist Through Problem-Solving Therapy: A Treatment Manual, Nezu and colleagues offer an excellent manual that has the potential to help a wide range of individuals cope with lifeís challenges. This book is an invaluable addition to any practicing psychologistís bookshelf.--PsycCRITIQUES Problem-solving therapy (PST) has been increasingly used to treat a variety of health and mental health problems due to its flexibility and proven effectiveness. This text, written by the co-developers of PST, is a comprehensive and detailed manual of how to apply PST to a wide variety of populations and situations. It reflects the significant conceptual and clinical revisions that supersede earlier versions of PST, and is based on the authors' clinical and research experience, the treatment outcome literature, and advances in related areas of psychology and neuroscience research. The book offers specific treatment guidelines, sample client-therapist dialogues, clinical exercises and activities, homework assignments, client handouts, clinical case examples, and worksheets. These resources are based on a stepped-care model of PST that takes into account the nature of a client's problems, the intensity of these problems, the setting and treatment structure, and treatment goals. The manual offers clients four major toolkits, which include a multitasking guide to overcoming cognitive overload when under stress, a guide to overcoming problems related to emotional dysregulation, a guide to overcoming barriers to effective problem-solving through use of healthy thinking and positive imagery, and a guide to fostering effective problem-solving by designing and employing a rational plan. Digital accompaniments include patient handouts, worksheets, and toolkits. Intended for use by a wide variety of mental health professionals in multiple settings, the manual can also serve as a text for both undergraduate and applied graduate courses. Key Features: Describes an increasingly popular psychotherapeutic intervention that works for multiple client populations and can be combined with other treatment modalities Authored by the co-developers of PST Provides the most up-to-date, detailed guidelines to PST Presents treatment guidelines, case examples, and numerous clinical aids Includes digital components, such as patient handouts, homework worksheets, and toolkits |
| another term for problem solving: Problem Solving Therapy in the Clinical Practice Mehmet Eskin, 2012-11-09 Evidence based or empirically supported psychotherapies are becoming more and more important in the mental health fields as the users and financers of psychotherapies want to choose those methods whose effectiveness are empirically shown. Cognitive-behavioral psychotherapies are shown to have empirical support in the treatment of a wide range of psychological/psychiatric problems. As a cognitive-behavioral mode of action, Problem Solving Therapy has been shown to be an effective psychotherapy approach in the treatment and/or rehabilitation of persons with depression, anxiety, suicide, schizophrenia, personality disorders, marital problems, cancer, diabetes-mellitus etc. Mental health problems cause personal suffering and constitue a burden to the national health systems. Scientific evidence show that effective problem solving skills are an important source of resiliency and individuals with psychological problems exhibit a deficiency in effective problem solving skills. Problem solving therapy approach to the treatment and/or rehabilitation of emotional problems assumes that teaching effective problem solving skills in a therapeutic relationship increases resiliency and alleviates psychological problems.The book, in the first chapters, gives information on problem solving and the role of problem-solving in the etiology and the treatment of different forms of mental health problems. In the later chapters, it concentrates on psychotherapy, assessment and procedures of problem solving therapy. At the end it provides a case study. Provides a comprehensive appreciation of problem solving therapy Contains empirical evidence and applied focus for problem solving therapy which provides a scientific base and best practices Highlights the problem solving difficulties of persons with specific disorders |
| another term for problem solving: Solving Public Problems Beth Simone Noveck, 2021-06-22 How to take advantage of technology, data, and the collective wisdom in our communities to design powerful solutions to contemporary problems The challenges societies face today, from inequality to climate change to systemic racism, cannot be solved with yesterday's toolkit. Solving Public Problems shows how readers can take advantage of digital technology, data, and the collective wisdom of our communities to design and deliver powerful solutions to contemporary problems. Offering a radical rethinking of the role of the public servant and the skills of the public workforce, this book is about the vast gap between failing public institutions and the huge number of public entrepreneurs doing extraordinary things--and how to close that gap. Drawing on lessons learned from decades of advising global leaders and from original interviews and surveys of thousands of public problem solvers, Beth Simone Noveck provides a practical guide for public servants, community leaders, students, and activists to become more effective, equitable, and inclusive leaders and repair our troubled, twenty-first-century world. |
| another term for problem solving: Alzheimer's Workbook, Holistic Health and Problem Solving for Everyday Care Elizabeth Cochran, 2009-08-01 The Alzheimer's Workbook is an in-depth, easy to use guide to help caregivers track, document and understand the behaviors of a loved one with Alzheimer's Disease and other dementia disorders. * Helps caregivers track the Alzheimer's person through the 3 stages of the disease. * Space for notes to chronicle the progression of the disease. * Hundreds of practical, common sense problem solving suggestions to ease the stress of both caregivers and the person with Alzheimer's. The Alzheimer's Workbook was written by Elizabeth Cochran, a home health nurse and case manager with a Masters Degree in Health Education who cared for her mother-in-law for four years in her home. |
| another term for problem solving: Implementation Research on Problem Solving in School Settings Inga Gebel, 2019 Content of the Book The University of Potsdam hosted the 25th ProMath and the 5th WG Problem Solving conference. Both groups met for the second time in this constellation which contributed to profound discussions on problem solving in each country taking cultural particularities into account. The joint conference took place from 29th to 31st August 2018, with participants from Finland, Germany, Greece, Hungary, Israel, Sweden, and Turkey. The conference revolved around the theme “Implementation research on problem solving in school settings”. These proceedings contain 14 peer-reviewed research and practical articles including a plenary paper from our distinguished colleague Anu Laine. In addition, the proceedings include three workshop reports which likewise focused on the conference theme. As such, these proceedings provide an overview of different research approaches and methods in implementation research on problem solving in school settings which may help close the gap between research and practice, and consequently make a step forward toward making problem solving an integral part of school mathematics on a large-scale. Content PLENARY REPORT Anu Laine: How to promote learning in problem-solving? pp 3 – 18 This article is based on my plenary talk at the joint conference of ProMath and the GDM working group on problem-solving in 2018. The aim of this article is to consider teaching and learning problem-solving from different perspectives taking into account the connection between 1) teacher’s actions and pupils’ solutions and 2) teacher’s actions and pupils’ affective reactions. Safe and supportive emotional atmosphere is base for students’ learning and attitudes towards mathematics. Teacher has a central role both in constructing emotional atmosphere and in offering cognitive support that pupils need in order to reach higher-level solutions. Teachers need to use activating guidance, i.e., ask good questions based on pupils’ solutions. Balancing between too much and too little guidance is not easy. https://doi.org/10.37626/GA9783959871167.0.01 RESEARCH REPORTS AND ORAL COMMUNICATIONS Lukas Baumanns and Benjamin Rott: Is problem posing about posing “problems”? A terminological framework for researching problem posing and problem solving pp 21 – 31 In this literature review, we critically compare different problem-posing situations used in research studies. This review reveals that the term “problem posing” is used for many different situations that differ substantially from each other. For some situations, it is debatable whether they provoke a posing activity at all. For other situations, we propose a terminological differentiation between posing routine tasks and posing non-routine problems. To reinforce our terminological specification and to empirically verify our theoretical considerations, we conducted some task-based interviews with students. https://doi.org/10.37626/GA9783959871167.0.02 Kerstin Bräuning: Long-term study on the development of approaches for a combinatorial task pp 33 – 50 In a longitudinal research project over two years, we interviewed children up to 6 times individually to trace their developmental trajectories when they solve several times the same tasks from different mathematical areas. As a case study, I will present the combinatorial task and analyze how two children, a girl and a boy, over two years approached it. As a result of the case studies we can see that the analysis of the data product-oriented or process-oriented provides different results. It is also observable that the developmental trajectory of the girl is a more continuous learning process, which we cannot identify for the boy. https://doi.org/10.37626/GA9783959871167.0.03 Lars Burman: Developing students’ problem-solving skills using problem sequences: Student perspectives on collaborative work pp 51 – 59 Using problem solving in mathematics classrooms has been the object of research for several decades. However, it is still necessary to focus on the development of problem-solving skills, and in line with the recent PISA assessment, more attention is given to collaborative problem solving. This article addresses students’ collaborative work with problem sequences as a means to systematically develop students’ problem-solving skills. The article offers student perspectives on challenges concerning the social atmosphere, differentiation on teaching, and learning in cooperation. In spite of the challenges, the students’ experiences indicate that the use of problem sequences and group problem solving can be fruitful in mathematics education. https://doi.org/10.37626/GA9783959871167.0.04 Alex Friedlander: Learning algebraic procedures through problem solving pp 61 – 69 In this paper, I attempt to present several examples of tasks and some relevant findings that investigate the possibility of basing a part of the practice-oriented tasks on higher-level thinking skills, that are usually associated with processes of problem solving. The tasks presented and analysed here integrate problem solving-components – namely, reversed thinking, expressing and analysing patterns, and employing multiple solution methods, into the learning and practicing of algebraic procedures – such as creating equivalent expressions and solving equations. https://doi.org/10.37626/GA9783959871167.0.05 Thomas Gawlick and Gerrit Welzel: Backwards or forwards? Direction of working and success in problem solving pp 71 – 89 We pose ourselves the question: What can one infer from the direction of working when solvers work on the same task for a second time? This is discussed on the basis of 44 problem solving processes of the TIMSS task K10. A natural hypothesis is that working forwards can be taken as evidence that the task is recognized and a solution path is recalled. This can be confirmed by our analysis. A surprising observation is that when working backwards, pivotal for success is (in case of K10) to change to working forwards soon after reaching the barrier. https://doi.org/10.37626/GA9783959871167.0.06 Inga Gebel: Challenges in teaching problem solving: Presentation of a project in progress by using an extended tetrahedron model pp 91 – 109 In order to implement mathematical problem solving in class, it is necessary to consider many different dimensions: the students, the teacher, the theoretical demands and adequate methods and materials. In this paper, an implementation process is presented that considers the above dimensions as well as the research perspective by using an extended tetrahedron model as a structural framework. In concrete terms, the development and initial evaluation of a task format and a new teaching concept are presented that focus on differentiated problem-solving learning in primary school. The pilot results show initial tendencies towards possible core aspects that enable differentiated problem solving in mathematics teaching. https://doi.org/10.37626/GA9783959871167.0.07 Heike Hagelgans: Why does problem-oriented mathematics education not succeed in an eighth grade? An insight in an empirical study pp 111 – 119 Based on current research findings on the possibilities of integration of problem solving into mathematics teaching, the difficulties of pupils with problem solving tasks and of teachers to get started in problem solving, this article would like to show which concrete difficulties delayed the start of the implementation of a generally problem-oriented mathematics lesson in an eighth grade of a grammar school. The article briefly describes the research method of this qualitative study and identifies and discusses the difficulties of problem solving in the examined school class. In a next step, the results of this study are used to conceive a precise teaching concept for this specific class for the introduction into problem-oriented mathematics teaching. https://doi.org/10.37626/GA9783959871167.0.08 Zoltán Kovács and Eszter Kónya: Implementing problem solving in mathematics classes pp 121 – 128 There is little evidence of teachers are using challenging problems in their mathematics classes in Hungary. At the University of Debrecen and University of Nyíregyháza, we elaborated a professional development program for inservice teachers in order to help them implementing problem solving in their classes. The basis of our program is the teacher and researcher collaboration in the lessonplanning and evaluation. In this paper we report some preliminary findings concerning this program. https://doi.org/10.37626/GA9783959871167.0.09 Ana Kuzle: Campus school project as an example of cooperation between the University of Potsdam and schools pp 129 – 141 The “Campus School Project” is a part of the “Qualitätsoffensive Lehrerbildung” project, whose aim is to improve and implement new structures in the university teacher training by bringing all the essential protagonists, namely university stuff, preservice teachers, and in-service teachers – together, and having them work jointly on a common goal. The department of primary mathematics education at the University of Potsdam has been a part of the Campus School Project since 2017. Thus far several cooperations emerged focusing on different aspects of problem solving in primary education. Here, I give an overview of selected cooperations, and the first results with respect to problem-solving research in different school settings. https://doi.org/10.37626/GA9783959871167.0.10 Ioannis Papadopoulos and Aikaterini Diakidou: Does collaborative problem-solving matter in primary school? The issue of control actions pp 143 – 157 In this paper we follow three Grade 6 students trying to solve (at first individually, and then in a group) arithmetical and geometrical problems. The focus of the study is to identify and compare the various types of control actions taken during individual and collaborative problem-solving to show how the collective work enhances the range of the available control actions. At the same time the analysis of the findings give evidence about the impact of the collaborative problemsolving on the way the students can benefit in terms of aspects of social metacognition. https://doi.org/10.37626/GA9783959871167.0.11 Sarina Scharnberg: Adaptive teaching interventions in collaborative problem-solving processes pp 159 – 171 Even though there exists limited knowledge on how exactly students acquire problem-solving competences, researchers agree that adaptive teaching interventions have the potential to support students‘ autonomous problem-solving processes. However, most recent research aims at analyzing the characteristics of teaching interventions rather than the interventions’ effects on the students’ problem-solving process. The study in this paper addresses this research gap by focusing not only on the teaching interventions themselves, but also on the students’ collaborative problem-solving processes just before and just after the interventions. The aim of the study is to analyze the interventions‘ effect on the learners’ integrated problem-solving processes. https://doi.org/10.37626/GA9783959871167.0.12 Nina Sturm: Self-generated representations as heuristic tools for solving word problems pp 173 – 192 Solving non-routine word problems is a challenge for many primary school students. A training program was therefore developed to help third-grade students to find solutions to word problems by constructing external representations (e.g., sketches, tables) and to specifically use them. The objective was to find out whether the program positively influences students’ problemsolving success and problem-solving skills. The findings revealed significant differences between trained and untrained classes. Therefore, it can be assumed that self-generated representations are heuristic tools that help students solve word problems. This paper presents the results on the impact of the training program on the learning outcome of students. https://doi.org/10.37626/GA9783959871167.0.13 Kinga Szűcs: Problem solving teaching with hearing and hearing-impaired students pp 193 – 203 In the last decade the concept of inclusion has become more and more prevalent in mathematics education, especially in Germany. Accordingly, teachers in mathematics classrooms have to face a wide range of heterogeneity, which includes physical, sensory and mental disabilities. At the Friedrich-Schiller-University of Jena, within the framework of the project “Media in mathematics education” it is examined how new technologies can support teaching in inclusive mathematics classrooms. In the academic year 2017/18, the heterogeneity regarding hearing impairment was mainly focussed on. Based on a small case study with hearing and hearing-impaired students a problem-solving unit about tangent lines was worked out according to Pólya, which is presented in the paper. https://doi.org/10.37626/GA9783959871167.0.14 WORKSHOP REPORTS Ana Kuzle and Inga Gebel: Implementation research on problem solving in school settings: A workshop report 207 On the last day of the conference, we organized a 90-minute workshop. The workshop focused on the conference theme “Implementation research on problem solving in school settings”. Throughout the conference, the participants were invited to write down their questions and/or comments as a response to held presentations. https://doi.org/10.37626/GA9783959871167.0.15 Ana Kuzle, Inga Gebel and Anu Laine: Methodology in implementation research on problem solving in school settings pp 209 – 211 In this report, a summary is given on the contents of the workshop. In particular, the methodology and some ethical questions in implementation research on problem solving in school settings are discussed. The discussion showed how complex this theme is so that many additional questions emerged. https://doi.org/10.37626/GA9783959871167.0.16 Lukas Baumanns and Sarina Scharnberg: The role of protagonists in implementing research on problem solving in school practice pp 213 – 214 Based on seminal works of Pólya (1945) and Schoenfeld (1985), problem solving has become a major focus of mathematics education research. Even though there exists a variety of recent research on problem solving in schools, the research results do not have a direct impact on problem solving in school practice. Instead, a dissemination of research results by integrating different protagonists is necessary. Within our working group, the roles of three different protagonists involved in implementing research on problem solving in school practice were discussed, namely researchers, pre-service, and in-service teachers, by examining the following discussion question: To what extent do the different protagonists enable implementation of research findings on problem solving in school practice? https://doi.org/10.37626/GA9783959871167.0.17 Benjamin Rott and Ioannis Papadopoulos: The role of problem solving in school mathematics pp 215 – 217 In this report of a workshop held at the 2018 ProMath conference, a summary is given of the contents of the workshop. In particular, the role of problem solving in regular mathematics teaching was discussed (problem solving as a goal vs. as a method of teaching), with implications regarding the selection of problems, its implementation into (written) exams as well as teacher proficiency that is needed for implementing problem solving into mathematics teaching. https://doi.org/10.37626/GA9783959871167.0.18 |
| another term for problem solving: Mathematical Problem Solving Berinderjeet Kaur, 2009 This book is the first in the series of the yearbooks of the Association of Mathematics Educators in Singapore. It is highly unique as it addresses a focused theme of mathematics education. The chapters of the book illustrate the immense diversity within the theme and presents research that translates into classroom pedagogies. The chapters of the book illustrate how mathematical problems may be crafted and infused in classroom teaching. Several novel pedagogies, such as learning mathematics through productive failure, problem posing and generative activities are presented in the book. The chapters are comprehensive and laden with evidence-based examples for both mathematics educators and classroom teachers of mathematics. The book is an invaluable contribution towards the already established field of research of mathematical problem solving. It is also a must read for graduate research students and mathematics educators. |
| another term for problem solving: Lean Problem Solving and QC Tools for Industrial Engineers Maharshi Samanta, 2019-04-16 The manufacturing and service sector needs to resolve a lot of issues relating to products, process and service in everyday operation. Successful resolution depends on the methodology, rigor and systematic implementation techniques. The essential purpose of this book is to impart the necessary knowledge to the reader about concepts in six sigma problem-solving providing sufficient knowledge of problem lifecycle and ways to address the various issues arising therein. The 7 QC tools and A3 strategy are described and analyzed in detail with various examples encompassing a step by step approach a professional must know to address a problem in an industrial engineering set up. Key Features Conceptualizes six sigmas problem-solving providing sufficient knowledge of problem lifecycle and ways to address the various issues for manufacturing industry professionals Enables effective use of 7 QC tools for solving problems Addresses the problem- solving part very specifically in all the contexts of PDCA cycle of improvement, DMAIC methodology of organizational transformation, and TPM & TQM culture of productivity and quality improvement Written with A3 theme throughout enabling each problem-solving tool to follow a structured approach Includes relevant and practical examples and applications |
| another term for problem solving: Problem Solving Survival Guide t/a Financial Accounting Jerry J. Weygandt, Donald E. Kieso, Paul D. Kimmel, 2010-08-09 This study guide is a powerful tool for in classroom use and for preparing for exams. Each chapter of the guide includes study objectives, a chapter review consisting of 20-30 key points, and a demonstration problem linked to study objectives in the textbook. True/false, multiple-choice, and matching questions in it provide additional practice opportunities. Solutions to the exercises are detailed and therefore provide substantial feedback. |
| another term for problem solving: Accelerating Complex Problem-Solving Skills Raman K. Attri, 2018-10-08 This book explains the importance to acquire complex problem-solving in today’s job environment. The book describes how to use five problem-centered methods to design training for real-world complex problem-solving skills. The book briefly describes the five methods in the context of the complex problem-solving skills - Problem-based learning (PBL), Project-based learning, Scenario-based learning (SBL), Case-based learning method (CBL), and Simulation-based learning. The book also specifies six research-based guidelines, and how training experts can design a training curriculum that ensures acquiring and accelerating complex problem-solving skills in any complex domain. |
| another term for problem solving: Cognitive and Metacognitive Problem-Solving Strategies in Post-16 Physics Ronald Mazorodze, Michael J. Reiss, 2019-09-20 This book reports on a study on physics problem solving in real classrooms situations. Problem solving plays a pivotal role in the physics curriculum at all levels. However, physics students’ performance in problem solving all too often remains limited to basic routine problems, with evidence of poor performance in solving problems that go beyond equation retrieval and substitution. Adopting an action research methodology, the study bridges the `research-practical divide ́ by explicitly teaching physics problem-solving strategies through collaborative group problem-solving sessions embedded within the curriculum. Data were collected using external assessments and video recordings of individual and collaborative group problem-solving sessions by 16-18 year-olds. The analysis revealed a positive shift in the students’ problem-solving patterns, both at group and individual level. Students demonstrated a deliberate, well-planned deployment of the taught strategies. The marked positive shifts in collaborative competences, cognitive competences, metacognitive processing and increased self-efficacy are positively correlated with attainment in problem solving in physics. However, this shift proved to be due to different mechanisms triggered in the different students. |
| another term for problem solving: Problem Solving and Uncertainty Modeling through Optimization and Soft Computing Applications Saxena, Pratiksha, 2016-03-01 Optimization techniques have developed into a modern-day solution for real-world problems in various industries. As a way to improve performance and handle issues of uncertainty, optimization research becomes a topic of special interest across disciplines. Problem Solving and Uncertainty Modeling through Optimization and Soft Computing Applications presents the latest research trends and developments in the area of applied optimization methodologies and soft computing techniques for solving complex problems. Taking a multi-disciplinary approach, this critical publication is an essential reference source for engineers, managers, researchers, and post-graduate students. |
| another term for problem solving: Integrative Problem-Solving in a Time of Decadence George Christakos, 2010-12-10 Presents a unique study of Integrative Problem-Solving (IPS). The consideration of 'Decadence' is essential in the scientific study of environmental and other problems and their rigorous solution, because the broad context within which the problems emerge can affect their solution. Stochastic reasoning underlines the conceptual and methodological framework of IPS, and its formulation has a mathematical life of its own that accounts for the multidisciplinarity of real world problems, the multisourced uncertainties characterizing their solution, and the different thinking modes of the people involved. Only by interpolating between the full range of disciplines (including stochastic mathematics, physical science, neuropsychology, philosophy, and sociology) and the associated thinking modes can scientists arrive at a satisfactory account of problem-solving, and be able to distinguish between a technically complete problem-solution, and a solution that has social impact. |
| another term for problem solving: Problem solving activities in post-editing and translation from scratch Jean Nitzke, 2019 Companies and organisations are increasingly using machine translation to improve efficiency and cost-effectiveness, and then edit the machine translated output to create a fluent text that adheres to given text conventions. This procedure is known as post-editing. Translation and post-editing can often be categorised as problem-solving activities. When the translation of a source text unit is not immediately obvious to the translator, or in other words, if there is a hurdle between the source item and the target item, the translation process can be considered problematic. Conversely, if there is no hurdle between the source and target texts, the translation process can be considered a task-solving activity and not a problem-solving activity. This study investigates whether machine translated output influences problem-solving effort in internet research, syntax, and other problem indicators and whether the effort can be linked to expertise. A total of 24 translators (twelve professionals and twelve semi-professionals) produced translations from scratch from English into German, and (monolingually) post-edited machine translation output for this study. The study is part of the CRITT TPR-DB database. The translation and (monolingual) post-editing sessions were recorded with an eye-tracker and a keylogging program. The participants were all given the same six texts (two texts per task). Different approaches were used to identify problematic translation units. First, internet research behaviour was considered as research is a distinct indicator of problematic translation units. Then, the focus was placed on syntactical structures in the MT output that do not adhere to the rules of the target language, as I assumed that they would cause problems in the (monolingual) post-editing tasks that would not occur in the translation from scratch task. Finally, problem indicators were identified via different parameters like Munit, which indicates how often the participants created and modified one translation unit, or the inefficiency (InEff) value of translation units, i.e. the number of produced and deleted tokens divided by the final length of the translation. Finally, the study highlights how these parameters can be used to identify problems in the translation process data using mere keylogging data. |
| another term for problem solving: Problem Solving, Decision Making, and Professional Judgment Paul Brest, Linda Hamilton Krieger, 2010-05-26 In Problem Solving, Decision Making, and Professional Judgment, Paul Brest and Linda Hamilton Krieger have written a systematic guide to creative problem solving that prepares students to exercise effective judgment and decision making skills in the complex social environments in which they will work. The book represents a major milestone in the education of lawyers and policymakers, Developed by two leaders in the field, this first book of its type includes material drawn from statistics, decision science, social and cognitive psychology, the judgment and decision making (JDM) literature, and behavioral economics. It combines quantitative approaches to empirical analysis and decision making (statistics and decision science) with the psychological literature illustrating the systematic errors of the intuitive decision maker. The book can stand alone as a text or serve as a supplement to a core law or public policy curriculum. Problem Solving, Decision Making, and Professional Judgment: A Guide for Lawyers and Policymakers prepares students and professionals to be creative problem solvers, wise counselors, and effective decision makers. The authors' ultimate goals are to help readers get it right in their roles as professionals and citizens, and to arm them against common sources of judgment error. |
| another term for problem solving: Environmental Problem Solving Alan Miller, 2013-12-01 Human influences create both environmental problems and barriers to effective policy aimed at addressing those problems. In effect, environmental managers manage people as much as they manage the environment. Therefore, they must gain an understanding of the psychological and sociopolitical dimensions of environmental problems that they are attempting to resolve. In Environmental Problem Solving, Alan Miller reappraises conventional analyses of environmental problems using lessons from the psychosocial disciplines. He combines the disciplines of ecology, political sociology and psychology to produce a more adaptive approach to problem-solving that is specifically geared toward the environmetal field. Numerous case studies demonstrate the practical application of theory in a way that is useful to technical and scientific professionals as well as to policy makers and planners. Alan Miller is Professor of Psychology at the University of New Brunswick. |
| another term for problem solving: The Art and Craft of Problem Solving Paul Zeitz, 2017 This text on mathematical problem solving provides a comprehensive outline of problemsolving-ology, concentrating on strategy and tactics. It discusses a number of standard mathematical subjects such as combinatorics and calculus from a problem solver's perspective. |
| another term for problem solving: The Wiley Handbook of Contextual Behavioral Science Robert D. Zettle, Steven C. Hayes, Dermot Barnes-Holmes, Anthony Biglan, 2015-11-13 The Wiley Handbook of Contextual Behavioral Science describes the philosophical and empirical foundation of the contextual behavioral science movement; it explores the history and goals of CBS, explains its core analytic assumptions, and describes Relational Frame Theory as a research and practice program. This is the first thorough examination of the philosophy, basic science, applied science, and applications of Contextual Behavioral Science Brings together the philosophical and empirical contributions that CBS is making to practical efforts to improve human wellbeing Organized and written in such a way that it can be read in its entirety or on a section-by-section basis, allowing readers to choose how deeply they delve into CBS Extensive coverage of this wide ranging and complex area that encompasses both a rich basic experimental tradition and in-depth clinical application of that experimental knowledge Looks at the development of RFT, and its implications for alleviating human suffering |
| another term for problem solving: Problem Solving Effectiveness Dan Riemenschneider, 1985 |
| another term for problem solving: Problem-Solving Courts, Criminal Justice, and the International Gold Standard Anna Grace Kawałek, 2021-01-03 This book presents findings from a process evaluation carried out at a problem-solving court located in England: Manchester Review Court. Unlike the widely documented successes of similar international models, there is no detail of Manchester Review Court in the accessible literature, not in any policy document, nor is there a court handbook or website outlining objectives and expected practice. In adopting the seminal ‘wine’ and ‘bottle’ analytical framework propounded by therapeutic jurisprudence scholars, and by carrying out a detailed comparative analysis comparing the court to successful international problem-solving courts, the original empirical data brings clarity to an overlooked area. A fidelity analysis is also offered for the forerunning English and Welsh drug courts, which were established during the early 2000s, but then shortly fell by the wayside without satisfactory explanation for why. Findings from the book shed new light on the causes of the English and Welsh drug court downfalls pending recent calls to roll out a fresh suite of problem-solving courts. In light of the international evidence base and national struggles in the field, the book proposes a renewed, UK-specific, fidelity matrix to forge the impetus for new practice in this area, whilst accounting for past failures and acknowledging current issues. Therefore, this book not only breaks new ground by advancing knowledge of a significantly uncharted area but provides important inroads for helping policymakers with their strategies in tackling recidivism, addiction, victimisation, and austerity, as widespread social and human issues currently facing both Manchester and the UK more broadly. Presenting significant advancements in theory, policy, and practice at both national and international scale, the book will be a valuable resource for academics and practitioners working in the fields of Therapeutic Justice, Criminal Law, Criminology, Criminal Justice, and Socio-Legal Studies. |
| another term for problem solving: Problem Solving for Teaching and Learning Helen Askell-Williams, Janice Orrell, 2019-06-26 Problem Solving for Teaching and Learning explores the importance of problem solving to learning in everyday personal and social contexts. This book is divided into four sections: Setting the scene; Conceptualising problem solving; Teachers’ knowledge and beliefs about problem solving; and Fostering students’ problem-solving capabilities, allowing readers to gain an insight into the various sub-topics that problem solving in learning and teaching introduce. Drawing together diverse perspectives on problem solving located in a variety of educational settings, this book explores problem solving theory, including its cognitive architecture, as well as attending to its translation into teaching and learning in a range of settings, such as education and social environments. This book also suggests how effective problem-solving activities can be incorporated more explicitly in learning and teaching and examines the benefits of this approach. The ideas developed in Problem Solving for Teaching and Learning will act as a catalyst for transforming practices in teaching, learning, and social engagement in formal and informal educational settings, making this book an essential read for education academics and students specialising in cognitive psychology, educational psychology, and problem solving. |
| another term for problem solving: Mathematical Problem Solving and New Information Technologies Joao P. Ponte, 1992-08-11 A strong and fluent competency in mathematics is a necessary condition for scientific, technological and economic progress. However, it is widely recognized that problem solving, reasoning, and thinking processes are critical areas in which students' performance lags far behind what should be expected and desired. Mathematics is indeed an important subject, but is also important to be able to use it in extra-mathematical contexts. Thinking strictly in terms of mathematics or thinking in terms of its relations with the real world involve quite different processes and issues. This book includes the revised papers presented at the NATO ARW Information Technology and Mathematical Problem Solving Research, held in April 1991, in Viana do Castelo, Portugal, which focused on the implications of computerized learning environments and cognitive psychology research for these mathematical activities. In recent years, several committees, professional associations, and distinguished individuals throughout the world have put forward proposals to renew mathematics curricula, all emphasizing the importance of problem solving. In order to be successful, these reforming intentions require a theory-driven research base. But mathematics problem solving may be considered a chaotic field in which progress has been quite slow. |
articles - "another", "an another" or "a another" which one is ...
Apr 8, 2021 · another film; Share. Improve this answer. Follow answered Apr 8, 2021 at 8:56. Rounin Rounin. 762 4 4 ...
英语中，another、other、one another、the other 应该怎么区 …
There are three kids in the room. One is Red, another is Jerry. 将the other改为了another，这个句子就是正确的了。 大家可以用下面示例仔细体会一下“the other”和“another”的区别： There …
idioms - "On one hand" vs "on the one hand." - English Language ...
Mar 2, 2019 · Note that non-native speakers may be mapping their own languages' expressions to English. For example, in Portuguese we use "por um lado" and "por outro lado", which would …
A phrase for something that happens immediately after another …
But it's unclear whether you want a word/phrase for "something that happens immediately after another thing" as mentioned the title or a word/phrase for "at the same time (immediately after …
Difference between "one after another" and "one after the other"
Aug 1, 2020 · 'One after another' and 'one after the other' mean the same. One person after another, One after another of my friends, If events/actions happen one after the other/one after …
What is another word for “sh*t”? - English Language Learners …
Dec 13, 2014 · In American English, a good, minimally offensive substitution is "crap," which can refer to feces, defecation, junk, garbage, a lack of quality, or even another person's …
what is the difference between on, in or at a meeting?
Mar 17, 2017 · Refers to the person attending a meeting at another premises (i.e. off-site). Coming to your third statement: He is on a meeting . The above statement incorrect, and …
grammar - "on its way" vs. "in its way" - English Language Learners ...
Feb 27, 2019 · Another way to think about it is that something "on the way" is convenient, while something "in the way" is an obstruction. It's possible to have both in the same sentence: On …
What's a preferred alternative to the phrase 'do the needful'?
I've been in many situations where I felt someone of another culture was being rude to me because they implied I already knew what they wanted me to do. (Even when you know they …
How can I say "I am sorry for sending you the consequent emails" …
Jun 25, 2015 · I am sending another email before receiving any reply and want to apologize for that at the beginning of the second in an official way. How can I say "I am sorry for sending …
articles - "another", "an another" or "a another" which one is ...
Apr 8, 2021 · another film; Share. Improve this answer. Follow answered Apr 8, 2021 at 8:56. Rounin Rounin. 762 4 4 ...
英语中，another、other、one another、the other 应该怎么区 …
There are three kids in the room. One is Red, another is Jerry. 将the other改为了another，这个句子就是正确的了。 大家可以用下面示例仔细体会一下“the other”和“another”的区别： There …
idioms - "On one hand" vs "on the one hand." - English Language ...
Mar 2, 2019 · Note that non-native speakers may be mapping their own languages' expressions to English. For example, in Portuguese we use "por um lado" and "por outro lado", which would …
A phrase for something that happens immediately after another …
But it's unclear whether you want a word/phrase for "something that happens immediately after another thing" as mentioned the title or a word/phrase for "at the same time (immediately after …
Difference between "one after another" and "one after the other"
Aug 1, 2020 · 'One after another' and 'one after the other' mean the same. One person after another, One after another of my friends, If events/actions happen one after the other/one after …
What is another word for “sh*t”? - English Language Learners …
Dec 13, 2014 · In American English, a good, minimally offensive substitution is "crap," which can refer to feces, defecation, junk, garbage, a lack of quality, or even another person's …
what is the difference between on, in or at a meeting?
Mar 17, 2017 · Refers to the person attending a meeting at another premises (i.e. off-site). Coming to your third statement: He is on a meeting . The above statement incorrect, and …
grammar - "on its way" vs. "in its way" - English Language Learners ...
Feb 27, 2019 · Another way to think about it is that something "on the way" is convenient, while something "in the way" is an obstruction. It's possible to have both in the same sentence: On …
What's a preferred alternative to the phrase 'do the needful'?
I've been in many situations where I felt someone of another culture was being rude to me because they implied I already knew what they wanted me to do. (Even when you know they …
How can I say "I am sorry for sending you the consequent emails" …
Jun 25, 2015 · I am sending another email before receiving any reply and want to apologize for that at the beginning of the second in an official way. How can I say "I am sorry for sending …
