Secondary Algebra Education
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Secondary Algebra Education Revisiting Topics And Themes And Exploring The Unknown
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Author : Paul Drijvers
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-10-19
Secondary Algebra Education Revisiting Topics And Themes And Exploring The Unknown written by Paul Drijvers and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-19 with Education categories.
Nowadays, algebra education is subject to worldwide scrutiny. Different opinions on its goals, approaches and achievements are at the heart of debates among teachers, educators, researchers and decision makers. What should the teaching of algebra in secondary school mathematics look like? Should it focus on procedural skills or on algebraic insight? Should it stress practice or integrate technology? Do we require formal proofs and notations, or do informal representations suffice? Is algebra in school an abstract subject, or does it take its relevance from application in (daily life) contexts? What should secondary school algebra education that prepares for higher education and professional practice in the twenty-first century look like? This book addresses these questions, and aims to inform in-service and future teachers, mathematics educators and researchers on recent insights in the domain, and on specific topics and themes such as the historical development of algebra, the role of productive practice, and algebra in science and engineering in particular. The authors, all affiliated with the Freudenthal Institute for Science and Mathematics Education in the Netherlands, share a common philosophy, which acts as a ? sometimes nearly invisible ? backbone for the overall view on algebra education: the theory of realistic mathematics education. From this point of departure, different perspectives are chosen to describe the opportunities and pitfalls of today’s and tomorrow’s algebra education. Inspiring examples and reflections illustrate current practice and explore the unknown future of algebra education to appropriately meet students’ needs.
Secondary Algebra Education
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Author : Paulus Hendrikus Maria Drijvers
language : en
Publisher:
Release Date : 2010
Secondary Algebra Education written by Paulus Hendrikus Maria Drijvers and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
The Mathematics That Every Secondary School Math Teacher Needs To Know
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Author : Alan Sultan
language : en
Publisher: Routledge
Release Date : 2017-07-20
The Mathematics That Every Secondary School Math Teacher Needs To Know written by Alan Sultan and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-20 with Education categories.
Designed to help pre-service and in-service teachers gain the knowledge they need to facilitate students' understanding, competency, and interest in mathematics, the revised and updated Second Edition of this popular text and resource bridges the gap between the mathematics learned in college and the mathematics taught in secondary schools. Highlighting multiple types of mathematical understanding to deepen insight into the secondary school mathematics curriculum, it addresses typical areas of difficulty and common student misconceptions so teachers can involve their students in learning mathematics in a way that is interesting, interconnected, understandable, and often surprising and entertaining. Six content strands are discussed—Numbers and Operations; Algebra; Geometry; Measurement; Data Analysis and Probability; and Proof, Functions, and Mathematical Modeling. The informal, clear style supports an interactive learner-centered approach through engaging pedagogical features: Launch Questions at the beginning of each section capture interest and involve readers in learning the mathematical concepts. Practice Problems provide opportunities to apply what has been learned and complete proofs. Questions from the Classroom bring the content to life by addressing the deep "why" conceptual questions that middle or secondary school students are curious about, and questions that require analysis and correction of typical student errors and misconceptions; focus on counter intuitive results; and contain activities and/or tasks suitable for use with students. Changes in the Second Edition New sections on Robotics, Calculators, Matrix Operations, Cryptography, and the Coefficient of Determination New problems, simpler proofs, and more illustrative examples Answers and hints for selected problems provided
Computer Algebra Systems In Secondary School Mathematics Education
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Author : James Taylor Fey
language : en
Publisher: National Council of Teachers of English
Release Date : 2003
Computer Algebra Systems In Secondary School Mathematics Education written by James Taylor Fey and has been published by National Council of Teachers of English this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Algebra categories.
Using Design Research And History To Tackle A Fundamental Problem With School Algebra
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Author : Sinan Kanbir
language : en
Publisher: Springer
Release Date : 2017-10-28
Using Design Research And History To Tackle A Fundamental Problem With School Algebra written by Sinan Kanbir and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-28 with Education categories.
In this well-illustrated book the authors, Sinan Kanbir, Ken Clements, and Nerida Ellerton, tackle a persistent, and universal, problem in school mathematics—why do so many middle-school and secondary-school students find it difficult to learn algebra well? What makes the book important are the unique features which comprise the design-research approach that the authors adopted in seeking a solution to the problem. The first unique feature is that the authors offer an overview of the history of school algebra. Despite the fact that algebra has been an important component of secondary-school mathematics for more than three centuries, there has never been a comprehensive historical analysis of factors influencing the teaching and learning of that component. The authors identify, through historical analysis, six purposes of school algebra: (a) algebra as a body of knowledge essential to higher mathematical and scientific studies, (b) algebra as generalized arithmetic, (c) algebra as a prerequisite for entry to higher studies, (d) algebra as offering a language and set of procedures for modeling real-life problems, (e) algebra as an aid to describing structural properties in elementary mathematics, and (f) algebra as a study of variables. They also raise the question whether school algebra represents a unidimensional trait. Kanbir, Clements and Ellerton offer an unusual hybrid theoretical framework for their intervention study (by which seventh-grade students significantly improved their elementary algebra knowledge and skills). Their theoretical frame combined Charles Sanders Peirce’s triadic signifier-interpretant-signified theory, which is in the realm of semiotics, with Johann Friedrich Herbart’s theory of apperception, and Ken Clements’ and Gina Del Campo’s theory relating to the need to expand modes of communications in mathematics classrooms so that students engage in receptive and expressive modes. Practicing classroom teachers formed part of the research team. This book appears in Springer’s series on the “History of Mathematics Education.” Not only does it include an important analysis of the history of school algebra, but it also adopts a theoretical frame which relies more on “theories from the past,” than on contemporary theories in the field of mathematics education. The results of the well-designed classroom intervention are sufficiently impressive that the study might havecreated and illuminated a pathway for future researchers to take.
The Reorganization Of Mathematics In Secondary Education
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Author : National Committee on Mathematical Requirements
language : en
Publisher:
Release Date : 1923
The Reorganization Of Mathematics In Secondary Education written by National Committee on Mathematical Requirements and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1923 with Mathematics categories.
The Teaching Of Secondary Mathematics
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Author : Charles Henry Butler
language : en
Publisher:
Release Date : 1970
The Teaching Of Secondary Mathematics written by Charles Henry Butler and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Education categories.
The purpose in writing this edition has been to bring together in one volume the substance of the best contemporary thought on the most significant issues relevant to the teaching and learning of secondary-school mathematics. This book is useful both as a basic textbook in undergraduate or graduate classes for prospective or in-service teachers of mathematics, and as a helpful source of suggestions and supplementary references for the more intensive study of particular ideas.
Connecting Abstract Algebra To Secondary Mathematics For Secondary Mathematics Teachers
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Author : Nicholas H. Wasserman
language : en
Publisher: Springer
Release Date : 2018-12-12
Connecting Abstract Algebra To Secondary Mathematics For Secondary Mathematics Teachers written by Nicholas H. Wasserman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-12 with Education categories.
Secondary mathematics teachers are frequently required to take a large number of mathematics courses – including advanced mathematics courses such as abstract algebra – as part of their initial teacher preparation program and/or their continuing professional development. The content areas of advanced and secondary mathematics are closely connected. Yet, despite this connection many secondary teachers insist that such advanced mathematics is unrelated to their future professional work in the classroom. This edited volume elaborates on some of the connections between abstract algebra and secondary mathematics, including why and in what ways they may be important for secondary teachers. Notably, the volume disseminates research findings about how secondary teachers engage with, and make sense of, abstract algebra ideas, both in general and in relation to their own teaching, as well as offers itself as a place to share practical ideas and resources for secondary mathematics teacher preparation and professional development. Contributors to the book are scholars who have both experience in the mathematical preparation of secondary teachers, especially in relation to abstract algebra, as well as those who have engaged in related educational research. The volume addresses some of the persistent issues in secondary mathematics teacher education in connection to advanced mathematics courses, as well as situates and conceptualizes different ways in which abstract algebra might be influential for teachers of algebra. Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers is a productive resource for mathematics teacher educators who teach capstone courses or content-focused methods courses, as well as for abstract algebra instructors interested in making connections to secondary mathematics.
The Mathematics Education Of Prospective Secondary Teachers Around The World
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Author : Marilyn E. Strutchens
language : en
Publisher: Springer
Release Date : 2016-10-22
The Mathematics Education Of Prospective Secondary Teachers Around The World written by Marilyn E. Strutchens and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-22 with Education categories.
This volume shares and discusses significant new trends and developments in research and practices related to various aspects of preparing prospective secondary mathematics teachers from 2005–2015. It provides both an overview of the current state-of-the-art and outstanding recent research reports from an international perspective. The authors completed a thorough review of the literature by examining major journals in the field of mathematics education, and other journals related to teacher education and technology. The systematic review includes four major themes: field experiences; technologies, tools and resources; teachers' knowledge; and teachers' professional identities. Each of them is presented regarding theoretical perspectives, methodologies, and major findings. Then the authors discuss what is known in the field and what we still need to know related to the major topics.
From Model To Algebra
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Author : Dr Yeap Ban Har
language : en
Publisher: Shing Lee Publishers Pte Ltd
Release Date :
From Model To Algebra written by Dr Yeap Ban Har and has been published by Shing Lee Publishers Pte Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Algebra is fundamental in the learning of mathematics. In Singapore, students begin the learning of formal algebra in primary six (Singapore Ministry of Education, 2006a). In secondary school, algebra features prominently in the curriculum (Singapore Ministry of Education, 2006b). Prior to learning formal algebra, primary school students use the model method as one of the methods to solve word problems. The model method is one of the most recognised features of the Singapore mathematics curriculum (Singapore Ministry of Education, 2009). It has been found that the model method has allowed primary school students without access to formal algebra a means to represent and solve algebraic word problems (Ng & Lee, 2009). Research has indicated that students encounter a variety of difficulties in formal algebra. These include understanding the meaning of letters used in formal algebra (Kuchemann, 1981) and translating information in text into algebraic equations (e.g. Stacey & MacGregor, 2000). The use of concrete and pictorial representations has been found to help students in solving word problems (e.g. Lewis, 1989; Willis & Fuson, 1988). While the model method has helped students solve word problems using pictorial representations, such representations are seldom harnessed for beginning students in formal algebra to acquire skills in algebraic manipulation. This book aims to do the latter. There has been much evidence that the model method can be integrated with the algebraic method (Kho, 1987, 2005, 2007; Beckmann, 2004). Secondary school teachers have been trained to show the relationship between the model method and the algebraic method (Kho, 2007). This book fleshes out this approach using topics in lower secondary algebra. This book focuses on helping students develop a strong foundation in algebraic manipulation. Basic algebraic manipulations including writing, evaluating, expanding, simplifying, and factorising algebraic expressions and solving algebraic equations are introduced pictorially. While it is not the intention that students to always rely on pictorial representations when doing algebra, the model method serves as a good starting point for students to learn algebraic manipulation meaningfully. It is hoped that this book will provide teachers with a resource to help students make the transition from the model method to formal algebra. As for students who find formal algebra daunting, this book serves as a bridge.