Download or read book On the Study and Difficulties of Mathematics written by Augustus De Morgan and published by Courier Corporation. This book was released on 2014-03-05 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the twentieth century's most eminent mathematical writers, Augustus De Morgan enriched his expositions with insights from history and psychology. On the Study and Difficulties of Mathematics represents some of his best work, containing points usually overlooked by elementary treatises, and written in a fresh and natural tone that provides a refreshing contrast to the mechanical character of common textbooks. Presuming only a knowledge of the rules of algebra and Euclidean theorems, De Morgan begins with some introductory remarks on the nature and objects of mathematics. He discusses the concept of arithmetical notion and its elementary rules, including arithmetical reactions and decimal fractions. Moving on to algebra, he reviews the elementary principles, examines equations of the first and second degree, and surveys roots and logarithms. De Morgan's book concludes with an exploration of geometrical reasoning that encompasses the formulation and use of axioms, the role of proportion, and the application of algebra to the measurement of lines, angles, the proportion of figures, and surfaces.

Download or read book Advanced Problems in Mathematics written by Stephen Siklos and published by . This book was released on 2019-10-16 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new and expanded edition is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge Colleges for conditional offers in mathematics. They are also used by some other UK universities and many mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination. Advanced Problems in Mathematics bridges the gap between school and university mathematics, and prepares students for an undergraduate mathematics course. The questions analysed in this book are all based on past STEP questions and each question is followed by a comment and a full solution. The comments direct the reader's attention to key points and put the question in its true mathematical context. The solutions point students to the methodology required to address advanced mathematical problems critically and independently. This book is a must read for any student wishing to apply to scientific subjects at university level and for anyone interested in advanced mathematics.

Download or read book Teaching Mathematics to Middle School Students with Learning Difficulties written by Marjorie Montague and published by Guilford Publications. This book was released on 2018-03-05 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: A highly practical resource for special educators and classroom teachers, this book provides specific instructional guidance illustrated with vignettes, examples, and sample lesson plans. Every chapter is grounded in research and addresses the nuts and bolts of teaching math to students who are not adequately prepared for the challenging middle school curriculum. Presented are a range of methods for helping struggling learners build their understanding of foundational concepts, master basic skills, and develop self-directed problem-solving strategies. While focusing on classroom instruction, the book also includes guidelines for developing high-quality middle school mathematics programs and evaluating their effectiveness.

Download or read book Children and Number written by Martin Hughes and published by Wiley-Blackwell. This book was released on 1991-01-08 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: The importance of learning mathematics is constantly stressed by educationalists and employers alike. Yet survey after survey shows that large numbers of children leave school lacking both competence and interest in mathematics. What is going wrong and what should be done about it? In Children and Number Martin Hughes proposes a new perspective on children's early attempts to understand mathematics. He describes the surprisingly substantial knowledge about number which children acquire naturally before they start school, and contrasts this with the difficulties presented by the formal written symbolism of mathematics in the classroom. He argues that children need to build links between their informal and their formal understanding of number, and shows what happens when these links are not made. Children and Number describes many novel ways in which young children can be helped to learn about number. The author shows that the written symbols children often invent for themselves are more meaningful to them than the symbols that they are taught. He presents simple number games for introducing children to mathematical symbols in ways they can appreciate and understand. Dr. Hughes also describes how the computer language LOGO can be adapted for young children, and shows the dramatic effect that LOGO can have on their mathematical understanding.

Download or read book Schools for All Kinds of Minds written by Mary-Dean Barringer and published by John Wiley & Sons. This book was released on 2010-03-29 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows how schools can--and must--develop expertise in "learning variation" (understanding how different kinds of minds learn) and apply this knowledge to classroom instruction in order to address the chronic learning challenges and achievement gap faced by millions of students. Barringer shows how using what we know about learning variation with a focus on discovering learning strengths, not just deficits, can help schools create plans for success for those students who often find it elusive. The book specifically addresses how school leaders can incorporate this knowledge into instructional practice and school-level policy through various professional development strategies. Schools for All Kinds of Minds: Provides a readable synthesis of the latest research from neuroscience, cognitive science, and child and adolescent development as it relates to understanding learning and its many variations. Links this information to strategies for understanding struggling learners and adapting school practices to accommodate a wider array of learning differences in a classroom. Demonstrates how this understanding of learning variation can change the way teachers and others help students succeed in various academic and content areas and acquire necessary 21st century skills. Includes discussion questions and facilitator guidelines for staff developers and teacher education programs; downloadable forms that accompany exercises from within the book; an action plan for schools to implement the ideas found in the book; and more.

Download or read book The Essence of Mathematics Through Elementary Problems written by Alexandre Borovik and published by . This book was released on 2019-06-11 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book International Handbook of Mathematical Learning Difficulties written by Annemarie Fritz and published by Springer. This book was released on 2019-01-30 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive volume provides teachers, researchers and education professionals with cutting edge knowledge developed in the last decades by the educational, behavioural and neurosciences, integrating cognitive, developmental and socioeconomic approaches to deal with the problems children face in learning mathematics. The neurocognitive mechanisms and the cognitive processes underlying acquisition of arithmetic abilities and their significance for education have been the subject of intense research in the last few decades, but the most part of this research has been conducted in non-applied settings and there’s still a deep discrepancy between the level of scientific knowledge and its implementation into actual educational settings. Now it’s time to bring the results from the laboratory to the classroom. Apart from bringing the theoretical discussions to educational settings, the volume presents a wide range of methods for early detection of children with risks in mathematics learning and strategies to develop effective interventions based on innovative cognitive test instruments. It also provides insights to translate research knowledge into public policies in order to address socioeconomic issues. And it does so from an international perspective, dedicating a whole section to the cultural diversity of mathematics learning difficulties in different parts of the world. All of this makes the International Handbook of Mathematical Learning Difficulties an essential tool for those involved in the daily struggle to prepare the future generations to succeed in the global knowledge society.

Download or read book Effective Teaching Strategies for Dyscalculia and Learning Difficulties in Mathematics written by Marie-Pascale Noël and published by Routledge. This book was released on 2022-03-28 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Effective Teaching Strategies for Dyscalculia and Learning Difficulties in Mathematics provides an essential bridge between scientific research and practical interventions with children. It unpacks what we know about the possible cognitive causation of mathematical difficulties in order to improve teaching and therefore learning. Each chapter considers a specific domain of children’s numerical development: counting and the understanding of numbers, understanding of the base-10 system, arithmetic, word problem solving, and understanding rational numbers. The accessible guidance includes a literature review on each topic, surveying how each process develops in children, the difficulties encountered at that level by some pupils, and the intervention studies that have been published. It guides the reader step-by-step through practical guidelines of how to assess these processes and how to build an intervention to help children master them. Illustrated throughout with examples of materials used in the effective interventions described, this essential guide offers deep understanding and effective strategies for developmental and educational psychologists, special educational needs and/or disabilities coordinators, and teachers working with children experiencing mathematical difficulties.

Download or read book Critical Issues in Mathematics Education written by Bharath Sriraman and published by IAP. This book was released on 2009-06-01 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: The word "critical" in the title of this collection has three meanings, all of which are relevant. One meaning, as applied to a situation or problem, is "at a point of crisis". A second meaning is "expressing adverse or disapproving comments or judgments". A third is related to the verb "to critique", meaning "to analyze the merits and faults of". The authors contributing to this book pose challenging questions, from multiple perspectives, about the roles of mathematics in society and the implications for education. Traditional reasons for teaching mathematics include: preparing a new generation of mathematics researchers and a cadre of technically competent users of mathematics; training students to think logically; and because mathematics is as much part of cultural heritage as literature or music. These reasons remain valid, though open to critique, but a deeper analysis is required that recognizes the roles of mathematics in framing many aspects of contemporary society, that will connect mathematics education to the lived experiences of students, their communities, and society in general, and that acknowledges the global ethical responsibilities of mathematicians and mathematics educators. The book is organized in four sections (1) Mathematics education: For what and why? (2) Globalization and cultural diversity, (3) Mathematics, education, and society and (4) Social justice in, and through, mathematics education The chapters address fundamental issues such as the relevance of school mathematics in people's lives; creating a sense of agency for the field of mathematics education, and redefining the relationship between mathematics as discipline, mathematics as school subject and mathematics as part of people's lives.

Download or read book The Complete Guide to RTI written by Dolores Burton and published by Corwin Press. This book was released on 2011-12-15 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Are you prepared for the RTI evolution? This comprehensive toolkit will bring you up to speed on why RTI is one of the most important educational initiatives in recent history and sets the stage for its future role in teacher education and practice. The authors demonstrate innovative ways to use RTI to inform instruction and guide curriculum development in inclusive classroom settings. Your RTI implementation team will find strategies, techniques, and checklists for evaluating existing programs and implementing RTI effectively. The text′s broad perspective includes: A concise description of RTI′s history and evolution A leadership framework for school and district administrators Applications in reading and literacy, mathematics, and behavior support Guidelines for involving parents, students, and communities In addition, chapters address progress monitoring, instructional support teams, and creating time for RTI in middle and high schools. The text is supported by online technology links that include video, audio, and print media--everything you need to optimize RTI for the new landscape of 21st-century education.

Download or read book Mathematics Learning in Early Childhood written by National Research Council and published by National Academies Press. This book was released on 2009-11-13 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Early childhood mathematics is vitally important for young children's present and future educational success. Research demonstrates that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success. Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children.

Download or read book More Trouble with Maths written by Steve Chinn and published by Routledge. This book was released on 2016-07-21 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: More Trouble with Maths acknowledges that there are many reasons why children and adults are unable to function mathematically. Difficulties include problems with rote learning basic facts and procedures, debilitating anxiety, poor working and short-term memories and mathematics vocabulary. Central to this new edition is a range of standardised tests and diagnostic activities, including a 15 minute test of basic mathematics, a thinking style test, tests of basic fact retrieval and maths anxiety. Guiding the reader in the interpretation of tests, this new edition shows how identifying the barriers to learning is the first step in a programme of intervention. Written in an engaging and user-friendly style, Steve Chinn draws on his extensive experience and expertise to: show how to consider and appraise the many factors relating to mathematical learning difficulties explain how these factors can be investigated explore their impact on learning mathematics. Emphasising the need for a clinical approach when assessing individuals, this book shows how diagnosis and assessment can become integrated into everyday teaching. This highly practical and relevant resource is a crucial resource for anyone who wants to accurately and effectively identify the depth and nature of mathematical learning difficulties and dyscalculia.

Download or read book Learning Mathematics written by Anthony Orton and published by A&C Black. This book was released on 2004-12-30 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: • Why do some students achieve more than others? • Do we have to wait until pupils are "ready"? • Can children discover math for themselves? • Does language interfere with the learning of math? This classic text, written from the viewpoint of the math teacher, provides answers to these and many more questions. Each chapter explores a particular issue that illustrates the interaction between theory and practice. New chapters have been included on cognition, pattern, and ICT.

Download or read book Helping Children Learn Mathematics written by National Research Council and published by National Academies Press. This book was released on 2002-07-31 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt: Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.

Download or read book The Problem with Math Is English written by Concepcion Molina and published by John Wiley & Sons. This book was released on 2012-09-06 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaching K-12 math becomes an easier task when everyone understands the language, symbolism, and representation of math concepts Published in partnership with SEDL, The Problem with Math Is English illustrates how students often understand fundamental mathematical concepts at a superficial level. Written to inspire ?aha? moments, this book enables teachers to help students identify and comprehend the nuances and true meaning of math concepts by exploring them through the lenses of language and symbolism, delving into such essential topics as multiplication, division, fractions, place value, proportional reasoning, graphs, slope, order of operations, and the distributive property. Offers a new way to approach teaching math content in a way that will improve how all students, and especially English language learners, understand math Emphasizes major attributes of conceptual understanding in mathematics, including simple yet deep definitions of key terms, connections among key topics, and insightful interpretation This important new book fills a gap in math education by illustrating how a deeper knowledge of math concepts can be developed in all students through a focus on language and symbolism.

Download or read book Intensifying Mathematics Interventions for Struggling Students written by Diane Pedrotty Bryant and published by Guilford Publications. This book was released on 2021-07-05 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book, Intensive Mathematics Interventions, provides a thorough background knowledge about mathematics difficulties across the grade span. Even more valuable to educators-this book provides user friendly guidance on how to address all of the elements of mathematics difficulties from preschool to secondary grades. Each topic provides clear guidance to support decision making about intensive instruction including examples, ideas, practices, and suggestions. You will learn about the characteristics of students with math difficulties, how to use date to progress monitor them, how to intensify interventions, specific evidence-based practices for addressing early numeracy, time and money, whole numbers, rational numbers, word problem solving strategies, algebra and even technology"--

Download or read book The Routledge International Handbook of Dyscalculia and Mathematical Learning Difficulties written by Steve Chinn and published by Routledge. This book was released on 2014-11-20 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics plays an important part in every person’s life, so why isn’t everyone good at it? The Routledge International Handbook of Dyscalculia and Mathematical Learning Difficulties brings together commissioned pieces by a range of hand-picked influential, international authors from a variety of disciplines, all of whom share a high public profile. More than fifty experts write about mathematics learning difficulties and disabilities from a range of perspectives and answer questions such as: What are mathematics learning difficulties and disabilities? What are the key skills and concepts for learning mathematics? How will IT help, now and in the future? What is the role of language and vocabulary? How should we teach mathematics? By posing notoriously difficult questions such as these and studying the answers The Routledge International Handbook of Dyscalculia and Mathematical Learning Difficulties is the authoritative volume and is essential reading for academics in the field of mathematics. It is an incredibly important contribution to the study of dyscalculia and mathematical difficulties in children and young adults.