Algebra And The Elementary Classroom

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Algebra And The Elementary Classroom

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Author : Maria L. Blanton
language : en
Publisher: Heinemann Educational Books
Release Date : 2008

Algebra And The Elementary Classroom written by Maria L. Blanton and has been published by Heinemann Educational Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Education categories.

Algebra in the Elementary Classroom provides the support we need as teachers to embed the development of students' algebraic thinking in the teaching of elementary school. - Megan Loef Franke Coauthor of Children's Mathematics and Thinking Mathematically How do you start students down the road to mathematical understanding? By laying the foundation for algebra in the elementary grades. Algebra and the Elementary Classroom shares ideas, tasks, and practices for integrating algebraic thinking into your teaching. Through research-based and classroom-tested strategies, it demonstrates how to use materials you have on hand to prepare students for formal algebra instruction - without adding to your overstuffed curriculum. You'll find ways to: introduce algebraic thinking through familiar arithmetical contexts nurture it by helping students think about, represent, and build arguments for their mathematical ideas develop it by exploring mathematical structures and functional relationships strengthen it by asking students to make algebraic connections across the curriculum reinforce it across the grades through a schoolwide initiative. No matter what your math background is, Algebra and the Elementary Classroom offers strong support for integrating algebraic thinking into your daily teaching. Its clear descriptions show you what algebraic thinking is and how to teach it. Its sample problems deepen your own algebraic thinking. Best of all, it gives you ideas for grade-specific instructional planning. Read Algebra and the Elementary Classroom and prepare your students for a lifetime of mathematical understanding.

Algebra And The Elementary Classroom

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Author : Robert Rhodes
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-06-04

Algebra And The Elementary Classroom written by Robert Rhodes and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-04 with categories.

Regardless of what your mathematical qualifications is, Geometry and the Primary Class room provides impressive support for developing algebraic considering into your educating. Through research-based and classroom-tested methods, it will help help you to use components you have on hand for making learners for official geometry training - without such as to your overstuffed system. Its obvious information explain to you what algebraic considering is and how to teach it. Its example issues improve your own algebraic considering. Best of all, it gives you ideas for grade-specific educational planning.Read Geometry and the Primary Class room and then make preparations your learners completely of mathematical knowing.

Teaching Early Algebra Through Example Based Problem Solving

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Author : Meixia Ding
language : en
Publisher: Routledge
Release Date : 2021-04-07

Teaching Early Algebra Through Example Based Problem Solving written by Meixia Ding and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-07 with Education categories.

Drawing on rich classroom observations of educators teaching in China and the U.S., this book details an innovative and effective approach to teaching algebra at the elementary level, namely, "teaching through example-based problem solving" (TEPS). Recognizing young children’s particular cognitive and developmental capabilities, this book powerfully argues for the importance of infusing algebraic thinking into early grade mathematics teaching and illustrates how this has been achieved by teachers in U.S. and Chinese contexts. Documenting best practice and students’ responses to example-based instruction, the text demonstrates that this TEPS approach – which involves the use of worked examples, representations, and deep questions – helps students learn and master fundamental mathematical ideas, making it highly effective in developing algebraic readiness and mathematical understanding. This text will benefit post-graduate students, researchers, and academics in the fields of mathematics, STEM, and elementary education, as well as algebra research more broadly. Those interested in teacher education, classroom practice, and developmental and cognitive psychology will also find this volume of interest.

Elementary Algebra For Schools

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Author : Henry Sinclair Hall
language : en
Publisher:
Release Date : 1885

Elementary Algebra For Schools written by Henry Sinclair Hall and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1885 with Algebra categories.

Algebraic Thinking In The Elementary Classroom

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Author : Deanna Maria Berg
language : en
Publisher:
Release Date : 2012

Algebraic Thinking In The Elementary Classroom written by Deanna Maria Berg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Algebra categories.

My interest in early algebra led me to seek out the definitions of algebra and early algebra according to various researchers. Algebra can be thought of as a set of tools for solving problems, where letters are used when making generalizations, finding unknowns, or working with variables. Early algebra is about providing children with the opportunities to think algebraically in order to develop an in-depth understanding of arithmetic. This led me to wonder if elementary school students display evidence of algebraic thinking, and if so, how their algebraic thinking is evident. On a number of occasions, I presented mathematical tasks to students in a grade two/three class and made observations on how they approached the problems. I found that there was evidence of algebraic thinking in elementary school students; they were able to find the unknown, they were able to work with variables, and they were able to make generalizations.

Thinking Mathematically

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Author : Thomas P. Carpenter
language : en
Publisher: Heinemann Educational Books
Release Date : 2003

Thinking Mathematically written by Thomas P. Carpenter and has been published by Heinemann Educational Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Education categories.

In this book the authors reveal how children's developing knowledge of the powerful unifying ideas of mathematics can deepen their understanding of arithmetic

Introducing Difficult Mathematics Topics In The Elementary Classroom

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Author : Francis J. Gardella
language : en
Publisher: Routledge
Release Date : 2008-11-15

Introducing Difficult Mathematics Topics In The Elementary Classroom written by Francis J. Gardella and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-15 with Education categories.

This exciting text for the pre-service elementary teacher provides hands on mathematics lessons they can use to introduce mathematical concepts and skills that students find particularly challenging. Each chapter is divided into four sections: The Activity employs an engaging thought experiment to help the reader "visit a classroom" to understand how the lesson used to introduce the concept or skill would materialize in the class. The Mathematics provides the necessary mathematical background used in the lesson to make the actual teaching/learning situation comfortable for both the teachers and the learner. The Plan provides the reader with an actual lesson plan to engage the Activity in the classroom setting. Putting It All Together pulls the previous sections together with a summary of the chapter as well as further information for making the lesson successful. By providing models of what excellent lessons on a given topic look like, knowledge of the mathematics involved, and a concrete lesson plan structure this much-needed resource is the definitive mathematics planning vehicle that every teacher will want before they set foot in their own elementary classroom.

Algebra For Elementary And Middle School Teachers

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Author : Sheryl Stump
language : en
Publisher:
Release Date : 2012-06-28

Algebra For Elementary And Middle School Teachers written by Sheryl Stump and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-28 with Education categories.

Encountering Algebra

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Author : Cecilia Kilhamn
language : en
Publisher: Springer
Release Date : 2019-07-03

Encountering Algebra written by Cecilia Kilhamn and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-03 with Education categories.

The book reports a comparative research project about algebra teaching and learning in four countries. Algebra is a central topic of learning across the world, and it is well-known that it represents a hurdle for many students. The book presents analyses built on extensive video-recordings of classrooms documenting the first introduction to symbolic algebra (students aged 12 to 14). While the content addressed in all classrooms is variables, expressions and equations, the teaching approaches are diverse. The chapters bring the reader into different algebra classrooms, discussing issues such as mathematization and social norms, the role of mediating tools and designed examples, and teacher beliefs. By comparing classrooms, new insights are generated about how students understand the algebraic content, how teachers instruct, and how both parties deal with difficulties in learning elementary algebra. The book also describes a research methodology using video in search of taken-for-granted aspects of algebra lessons.

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.