Diversifying Mathematics Teaching: Advanced Educational Content And Methods For Prospective Elementary Teachers

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Author :
Publisher : World Scientific
ISBN 13 : 9813206896
Total Pages : 285 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Diversifying Mathematics Teaching: Advanced Educational Content And Methods For Prospective Elementary Teachers by : Sergei Abramovich

Download or read book Diversifying Mathematics Teaching: Advanced Educational Content And Methods For Prospective Elementary Teachers written by Sergei Abramovich and published by World Scientific. This book was released on 2017-02-24 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'What one takes away from this book is the notion that there’s a lot of potential to do more with these students, and the book stands as a resource for anyone who shares that opinion … Books like Abramovich’s are a welcome addition to our options as we try to do our best by these students, and by extension, their future students.'MAA ReviewsThe book is written to enhance the preparation of elementary teacher candidates by offering teaching ideas conducive to the development of deep understanding of concepts fundamental to the mathematics curriculum they are to teach. It intends to show how the diversity of teaching methods stems from the knowledge of mathematics content and how the appreciation of this diversity opens a window to the teaching of extended content.The book includes material that the author would have shared with teacher candidates should there have been more instructional time than a 3 credit hour master's level course, 'Elementary Mathematics: Content and Methods', provides. Thus the book can supplement a basic textbook for such a course by extending content and diversifying methods.Also, the book can support graduate level mathematics education programs which have problem-solving seminars/courses in their curriculum. The book is well-informed with (available in English) the mathematical standards and recommendations for teachers from Australia, Canada, Chile, England, Japan, Korea, Singapore, and the United States.

The Mathematics Education of Elementary Teachers

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Publisher : IAP
ISBN 13 : 1681235749
Total Pages : 147 pages
Book Rating : 4.6/5 (812 download)

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Book Synopsis The Mathematics Education of Elementary Teachers by : Lynn C. Hart

Download or read book The Mathematics Education of Elementary Teachers written by Lynn C. Hart and published by IAP. This book was released on 2016-07-01 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an edited volume addressing specific issues of significance for individuals involved with the undergraduate mathematics content preparation of prospective elementary teachers (PSTs). Teaching mathematics content courses to this group of students presents unique challenges. While some PSTs enter their teacher preparation with weak mathematical skills and knowledge, many also hold negative attitudes, anxiety, and misguided beliefs about mathematics. This book is designed to support instructors who teach these students in mathematics content for elementary teachers courses. Elementary teachers need a richly developed understanding of the mathematics they are teaching in order to teach it effectively. Providing them with the needed preparation is difficult, but can be eased with a solid understanding of the mathematical concerns and limitations PSTs bring to the learning of mathematics and a familiarity with the standards and curricula topics PSTs will be expected to teach. Chapter One makes the argument that elementary mathematics is not trivial. This is followed by an analysis of four central issues related to the mathematical preparation of elementary teachers, specifically: (1) selecting/creating/modifying and implementing mathematical tasks (2) noticing/understanding children’s ways of thinking as a foundation for learning mathematics, (3) developing mathematical habits of mind in PSTs, and (4) understanding the role affect plays in the mathematical learning of PSTs. The final chapter presents three international examples of programs that currently consider these factors in the implementation of their courses.

Towards Deep Understanding Of Elementary School Mathematics: A Brief Companion For Teacher Educators And Others

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Publisher : World Scientific
ISBN 13 : 9811257019
Total Pages : 310 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Towards Deep Understanding Of Elementary School Mathematics: A Brief Companion For Teacher Educators And Others by : Sergei Abramovich

Download or read book Towards Deep Understanding Of Elementary School Mathematics: A Brief Companion For Teacher Educators And Others written by Sergei Abramovich and published by World Scientific. This book was released on 2022-07-07 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is intended to serve as a brief companion for mathematical educators of elementary teacher candidates who learn mathematics within a college of education both at the undergraduate and graduate levels. Being informed by mathematics teaching and learning standards of the United States, Australia, Canada, Chile, England, Japan, Korea, Singapore, and South Africa, the book can be used internationally.The teaching methods emphasize the power of visualization, the use of physical materials, and support of computer technology including spreadsheet, Wolfram Alpha, and the Geometer's Sketchpad.The basic ideas include the development of the concepts of number, base-ten system, problem solving and posing, the emergence of fractions in the context of simple real-life activities requiring the extension of whole number arithmetic, decimals, percent, ratio, geoboard geometry, elements of combinatorics, probability and data analysis.The book includes historical aspects of elementary school mathematics. For example, readers would be interested to know that two-sided counters stem from the binary system with its genesis in the 1st millennium BC China of which Leibnitz (17th century) was one of the first notable proponents. The genesis of the base-ten arithmetic is in the Egyptian mathematics of the 4th millennium BC, enriched with the positional notation with the advent of Hindu-Arabic numerals in the 12th century Europe.

Topics in Mathematics For Elementary Teachers

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Author :
Publisher : IAP
ISBN 13 :
Total Pages : 244 pages
Book Rating : 4.8/5 (873 download)

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Book Synopsis Topics in Mathematics For Elementary Teachers by : Sergei Abramovich

Download or read book Topics in Mathematics For Elementary Teachers written by Sergei Abramovich and published by IAP. This book was released on 2024-01-01 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second (revised) edition of the book published in 2010 under the same title. It reflects the author’s experience teaching a graduate level mathematics content course for elementary teacher candidates at SUNY Potsdam since 2003. The book addresses a number of recommendations of the Conference Board of the Mathematical Sciences for the preparation of teachers demonstrating how abstract mathematical concepts can be motivated by concrete activities and the use of technology. Such approach to school mathematics makes it easier for teachers to grasp the meaning of generalization, formal proof, and the creation of an increasing number of concepts on higher levels of abstraction. The book’s computer-enhanced pedagogy and its strong experiential component enabled by the use of manipulative materials have the potential to reduce mathematics anxiety among teachers and help them develop confidence in teaching the subject matter through modeling and problem solving. Classroom observations of teachers’ learning mathematics as a combination of theory and experiment confirm that this approach elevates one’s mathematical understanding to a higher ground. Most of the chapters are motivated by a problem typically found in the elementary mathematics curricula and/or standards (either National or New York State – the context in which the author prepare teachers). By exploring traditional problems in depth, teachers can uncover fundamental mathematical concepts and ideas hidden within a seemingly mundane task. The need to have experience in going beyond traditional expectations for learning is due to the constructivist orientation of contemporary mathematics pedagogy that encourages students to ask questions about mathematics they study. Each chapter (except the last one) includes an activity set that can be used for the development of the variety of assignments for teachers. Digital tools used in the book include spreadsheets, Wolfram Alpha, GeoGebra, Kid Pix Studio Deluxe, and Graphing Calculator (Pacific Tech).

Integrating Computers And Problem Posing In Mathematics Teacher Education

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Author :
Publisher : World Scientific
ISBN 13 : 9813273933
Total Pages : 254 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Integrating Computers And Problem Posing In Mathematics Teacher Education by : Sergei Abramovich

Download or read book Integrating Computers And Problem Posing In Mathematics Teacher Education written by Sergei Abramovich and published by World Scientific. This book was released on 2018-09-17 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is written to share ideas stemming from technology-rich K-12 mathematics education courses taught by the author to American and Canadian teacher candidates over the past two decades. It includes examples of problems posed by the teacher candidates using computers. These examples are analyzed through the lenses of the theory proposed in the book.Also, the book includes examples of computer-enabled formulation as well as reformulation of rather advanced problems associated with the pre-digital era problem-solving curriculum. The goal of the problem reformulation is at least two-fold: to make curriculum materials compatible with the modern-day emphasis on democratizing mathematics education and to find the right balance between positive and negative affordances of technology.The book focuses on the use of spreadsheets, Wolfram Alpha, Maple, and The Graphing Calculator (also known as NuCalc) in problem posing. It can be used by pre-service and in-service teachers interested in K-12 mathematics curriculum development in the digital era as well as by those studying mathematics education from a theoretical perspective.

Fostering Collateral Creativity in School Mathematics

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Publisher : Springer Nature
ISBN 13 : 3031406397
Total Pages : 141 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Fostering Collateral Creativity in School Mathematics by : Sergei Abramovich

Download or read book Fostering Collateral Creativity in School Mathematics written by Sergei Abramovich and published by Springer Nature. This book was released on 2023-10-03 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the topic of using technology, both physical and digital, to motivate creative mathematical thinking among students who are not considered ‘mathematically advanced.’ The book reflects the authors’ experience of teaching mathematics to Canadian and American teacher candidates and supervising several field-based activities by the candidates. It consists of eight chapters and an Appendix which includes details of constructing computational learning environments. Specifically, the book demonstrates how the appropriate use of technology in the teaching of mathematics can create conditions for the emergence of what may be called ‘collateral creativity,’ a notion similar to Dewey’s notion of collateral learning. Just as collateral learning does not result from the immediate goal of the traditional curriculum, collateral creativity does not result from the immediate goal of traditional problem solving. Rather, mathematical creativity emerges as a collateral outcome of thinking afforded by the use of technology. Furthermore, collateral creativity is an educative outcome of one’s learning experience with pedagogy that motivates students to ask questions about computer-generated or tactile-derived information and assists them in finding answers to their own or the teacher’s questions. This book intends to provide guidance to teachers for fostering collateral creativity in their classrooms.

Developing Deep Knowledge in Middle School Mathematics

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Publisher : Springer Nature
ISBN 13 : 3030685640
Total Pages : 451 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Developing Deep Knowledge in Middle School Mathematics by : Sergei Abramovich

Download or read book Developing Deep Knowledge in Middle School Mathematics written by Sergei Abramovich and published by Springer Nature. This book was released on 2021-05-10 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is for prospective teachers of middle school mathematics. It reflects on the authors’ experience in offering various mathematics education courses to prospective teachers in the US and Canada. In particular, the content can support one or more of 24-semester-hour courses recommended by the Conference Board of the Mathematical Sciences (2012) for the mathematical preparation of middle school teachers. The textbook integrates grade-appropriate content on all major topics in the middle school mathematics curriculum with international recommendations for teaching the content, making it relevant for a global readership. The textbook emphasizes the inherent connections between mathematics and real life, since many mathematical concepts and procedures stem from common sense, something that schoolchildren intuitively possess. This focus on teaching formal mathematics with reference to real life and common sense is essential to its pedagogical approach. In addition, the textbook stresses the importance of being able to use technology as an exploratory tool, and being familiar with its strengths and weaknesses. In keeping with this emphasis on the use of technology, both physical (manipulatives) and digital (commonly available educational software), it also explores e.g. the use of computer graphing software for digital fabrication. In closing, the textbook addresses the issue of creativity as a crucial aspect of education in the digital age in general, and in mathematics education in particular.

Approaches to Teaching Mathematics Content to Prospective Elementary Teachers

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Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.:/5 (539 download)

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Book Synopsis Approaches to Teaching Mathematics Content to Prospective Elementary Teachers by : James Edward Schultz

Download or read book Approaches to Teaching Mathematics Content to Prospective Elementary Teachers written by James Edward Schultz and published by . This book was released on 1971 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Knowing and Learning Mathematics for Teaching

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Publisher : National Academies Press
ISBN 13 : 0309072522
Total Pages : 233 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis Knowing and Learning Mathematics for Teaching by : National Research Council

Download or read book Knowing and Learning Mathematics for Teaching written by National Research Council and published by National Academies Press. This book was released on 2001-02-25 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are many questions about the mathematical preparation teachers need. Recent recommendations from a variety of sources state that reforming teacher preparation in postsecondary institutions is central in providing quality mathematics education to all students. The Mathematics Teacher Preparation Content Workshop examined this problem by considering two central questions: What is the mathematical knowledge teachers need to know in order to teach well? How can teachers develop the mathematical knowledge they need to teach well? The Workshop activities focused on using actual acts of teaching such as examining student work, designing tasks, or posing questions, as a medium for teacher learning. The Workshop proceedings, Knowing and Learning Mathematics for Teaching, is a collection of the papers presented, the activities, and plenary sessions that took place.

Beyond Classical Pedagogy

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Publisher : Routledge
ISBN 13 : 1135658722
Total Pages : 324 pages
Book Rating : 4.1/5 (356 download)

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Book Synopsis Beyond Classical Pedagogy by : Terry Wood

Download or read book Beyond Classical Pedagogy written by Terry Wood and published by Routledge. This book was released on 2014-04-04 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: The emergence of the National Council of Teachers of Mathematics Standards in 1989 sparked a sea change in thinking about the nature and quality of mathematics instruction in U.S. schools. Much is known about transmission forms of mathematics teaching and the influence of this teaching on students' learning, but there is still little knowledge about the alternative forms of instruction that have evolved from the recent widespread efforts to reform mathematics education. Beyond Classical Pedagogy: Teaching Elementary School Mathematics reports on the current state of knowledge about these new instructional practices, which differ in significant ways from the traditional pedagogy that has permeated mathematics education in the past. This book provides a research-based view of the nature of facilitative teaching in its relatively mature form, along with opposing views and critique of this form of pedagogy. The focus is on elementary school mathematics classrooms, where the majority of the reform-based efforts have occurred, and on the micro level of teaching (classroom interaction) as a source for revealing the complexity involved in teaching, teachers' learning, and the impact of both on children's learning. The work in elementary mathematics teaching is situated in the larger context of research on teaching. Research and insights from three disciplinary perspectives are presented: the psychological perspective centers on facilitative teaching as a process of teachers' learning; the mathematical perspective focuses on the nature of the mathematical knowledge teachers need in order to engage in this form of teaching; the sociological perspective attends to the interactive process of meaning construction as teachers and students create intellectual communities in their classrooms. The multidisciplinary perspectives presented provide the editors with the necessary triangulation to provide confirming evidence and rich detail about the nature of facilitative teaching. Audiences for this book include scholars in mathematics education and teacher education, teacher educators, staff developers, and classroom teachers. It is also appropriate as a text for graduate courses in mathematics education, teacher education, elementary mathematics teaching methods, and methods of research in mathematics education.

Transforming Mathematics Teacher Education

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Publisher : Springer
ISBN 13 : 3030210170
Total Pages : 181 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Transforming Mathematics Teacher Education by : Tonya Gau Bartell

Download or read book Transforming Mathematics Teacher Education written by Tonya Gau Bartell and published by Springer. This book was released on 2019-08-01 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book builds on the Teachers Empowered to Advance Change in Mathematics (TEACH Math) project, which was an initiative that sought to develop a new generation of preK-8 mathematics teachers to connect mathematics, children’s mathematical thinking, and community and family knowledge in mathematics instruction – or what we have come to call children’s multiple mathematical knowledge bases in mathematics instruction, with an explicit focus on equity. Much of the work involved in the TEACH Math project included the development of three instructional modules for preK-8 mathematics methods courses to support the project’s goals. These activities were used and refined over eight semesters, and in Fall 2014 shared at a dissemination conference with other mathematics teacher educators from a variety of universities across the United States. Chapter contributions represent diverse program and geographical contexts and teach prospective and practicing teachers from a variety of socioeconomic and ethnic backgrounds, in particular providing accounts of supports, challenges, and tensions in implementing equity-based mathematics teacher education. The chapters supply rich evidence and illustrative examples of how other mathematics teacher educators and professional developers might make the modules work for their unique practices, courses, workshops, and prospective teachers/teachers. It promises to be an important resource for offering guidance and examples to those working with prospective teachers of mathematics who want to create positive, culturally responsive, and equity-based mathematics experiences for our nation’s youth.

Specialized Understanding of Mathematics

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Publisher :
ISBN 13 :
Total Pages : 133 pages
Book Rating : 4.:/5 (715 download)

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Book Synopsis Specialized Understanding of Mathematics by : Margaret Viola Moss

Download or read book Specialized Understanding of Mathematics written by Margaret Viola Moss and published by . This book was released on 2006 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation study informs the field on how, when and where a specialized understanding of math (SUM) might be developed within a teacher education program by focusing on the three following research questions and related methodology. 1) What are the strengths and weaknesses in prospective elementary teacher's specialized understanding of mathematics as they enter their mathematics methods course? The Number and Operation and Geometry items from the Content Knowledge for Teaching Mathematics instruments, which have been developed at The University of Michigan's Learning Mathematics for Teaching Project, were administered to 244 prospective elementary teachers at four universities during the first two weeks of the mathematics methods course. An item analysis sheds light on areas of strengths and weaknesses, and a statistical analysis was conducted to see any relationships between content understanding and quantity and type of content courses. A relationship was found between participants who took specialized content courses and the pretest scores. Another interesting finding was that simply taking more mathematics content courses is not related to higher scores. 2) Does the specialized understanding of mathematics change as they take the mathematics methods course? The CKTM items were administered as a post test during the last two weeks of the methods course and compared with the pre test to look at changes, both as a paired samples t test and an item analysis. Growth in SUM was found between the pretest and posttest. 3) What learning opportunities during the methods course may improve the specialized understanding of mathematics of prospective elementary teachers? Interviews were conducted with mathematics methods instructors who saw significant growth on specific items. The general philosophy of the course, as well as specific learning opportunities that may have helped understanding in the specific items that saw growth were explored, and a framework was created of learning opportunities that may impact understanding of mathematics. The learning opportunities that seem to add to improved SUM include readings, communication, experiencing children's mathematical thinking, mathematics activities, manipulatives, and field experiences.

Developing Mathematical Proficiency for Elementary Instruction

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Publisher : Springer Nature
ISBN 13 : 3030689565
Total Pages : 305 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Developing Mathematical Proficiency for Elementary Instruction by : Yeping Li

Download or read book Developing Mathematical Proficiency for Elementary Instruction written by Yeping Li and published by Springer Nature. This book was released on 2021-04-23 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: The need to improve the mathematical proficiency of elementary teachers is well recognized, and it has long been of interest to educators and researchers in the U.S. and many other countries. But the specific proficiencies that elementary teachers need and the process of developing and improving them remain only partially conceptualized and not well validated empirically. To improve this situation, national workshops were organized at Texas A&M University to generate focused discussions about this important topic, with participation of mathematicians, mathematics educators and teachers. Developing Mathematical Proficiency for Elementary Instruction is a collection of articles that grew out of those exciting cross-disciplinary exchanges. Developing Mathematical Proficiency for Elementary Instruction is organized to probe the specifics of mathematical proficiency that are important to elementary teachers during two separate but inter-connected professional stages: as pre-service teachers in a preparation program, and as in-service teachers teaching mathematics in elementary classrooms. From this rich and inspiring collection, readers may better understand, and possibly rethink, their own practices and research in empowering elementary teachers mathematically and pedagogically, as educators or researchers.

Teaching Mathematics

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Publisher : Routledge
ISBN 13 : 1136520910
Total Pages : 352 pages
Book Rating : 4.1/5 (365 download)

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Book Synopsis Teaching Mathematics by : Brent Davis

Download or read book Teaching Mathematics written by Brent Davis and published by Routledge. This book was released on 2013-02-01 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an approach to the teaching of mathematics that departs radically from conventional prescription-oriented and management-based methods. It brings together recent developments in such diverse fields as continental and pragmatist philosophy, enactivist thought, critical discourses, cognitive theory, evolution, ecology, and mathematics, and challenges the assumptions that permeate much of mathematics teaching. The discussion focuses on the language used to frame the role of the teacher and is developed around the commonsense distinctions drawn between thought and action, subject and object, individual and collective, fact and fiction, teacher and student, and classroom tasks and real life. The discussion also addresses the question of how mathematics teaching can be reformed to better suit current academic and social climates. Making use of the theoretical framework of enactivism, the book explores the subject through an account of a middle school teacher's appreciation and understanding of her role. Teaching mathematics, as both the report of this teacher's experience and the discussion make clear, demands an embracing of ambiguity, uncertainty, complexity, and moral responsibility. Courses for Adoption Education: Mathematics for Elementary Teachers, Methods for Teaching Elementary Schools, Methods for Teaching Secondary Schools, Curriculum Studies, Critical Pedagogy Special Features *Elucidates the importance and relationship between theory and practice. Employs reflective teaching techniques to focus students on their own learning, knowledge, and understanding of mathematics.Details a collaborative venture that traces the development of new thinking and insights about math teaching and learning. *A fine blending of theory with practice.

The Effects of a Coordinated Mathematics Content and Methods Sequence on Prospective Elementary Teachers

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Publisher :
ISBN 13 :
Total Pages : 284 pages
Book Rating : 4.:/5 (281 download)

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Book Synopsis The Effects of a Coordinated Mathematics Content and Methods Sequence on Prospective Elementary Teachers by : Ephraim B. Fithian

Download or read book The Effects of a Coordinated Mathematics Content and Methods Sequence on Prospective Elementary Teachers written by Ephraim B. Fithian and published by . This book was released on 1971 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Learning about Mathematics in Elementary Methods Courses

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Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Learning about Mathematics in Elementary Methods Courses by : Robert E. Floden

Download or read book Learning about Mathematics in Elementary Methods Courses written by Robert E. Floden and published by . This book was released on 1990 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Preparing Mathematics and Science Teachers for Diverse Classrooms

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Publisher : Lawrence Erlbaum Assoc Incorporated
ISBN 13 : 0805846794
Total Pages : 273 pages
Book Rating : 4.8/5 (58 download)

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Book Synopsis Preparing Mathematics and Science Teachers for Diverse Classrooms by : Alberto J. Rodríguez

Download or read book Preparing Mathematics and Science Teachers for Diverse Classrooms written by Alberto J. Rodríguez and published by Lawrence Erlbaum Assoc Incorporated. This book was released on 2005 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book mathematics and science educators share strategies that they have implemented to foster prospective teachers' capacities to teach for diversity in science and mathematics classrooms.