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Author : Charles H. D'Augustine
Publisher : Unknown
Page : 422 pages
File Size : 49,5 Mb
Release : 1984
Category : Education
ISBN : PSU:000010744437
Author : Margaret Schwan Smith,Mary Kay Stein
Publisher : Unknown
Page : 104 pages
File Size : 41,9 Mb
Release : 2011
Category : Communication in mathematics
ISBN : 1483351114
Describes five practices for productive mathematics discussions, including anticipating, monitoring, selecting, sequencing, and connecting.
Author : Charles H. D'Augustine
Publisher : HarperCollins Publishers
Page : 434 pages
File Size : 42,5 Mb
Release : 1973
Category : Education
ISBN : UOM:39015035403776
Author : Raz Kupferman
Publisher : World Scientific Publishing Company
Page : 304 pages
File Size : 42,9 Mb
Release : 2017-03-17
Category : Electronic
ISBN : 9789813108950
This book covers the elementary school mathematics curriculum common in most parts of the world. Its aim is to serve educators (teachers and parents) as a guide for teaching mathematics at elementary school level. The book focuses both on content knowledge and on pedagogical content knowledge. It bridges the gap between fundamental mathematical principles and good teaching practices. It also offers the reader a glimpse on how mathematicians perceive elementary mathematics and presents ideas for specific mathematical activities. Volume 2 focuses on content taught in the higher grades of elementary school. It covers the following topics: multiplication and division of multi-digit numbers, divisibility and primality, divisibility signs, sequences, fractions and their representations, and fraction arithmetic. Request Inspection Copy
Author : Stephen DeMeo
Publisher : Universal-Publishers
Page : 303 pages
File Size : 40,5 Mb
Release : 2008
Category : Education
ISBN : 9781599429885
For the first time in science education, the subject of multiple solution methods is explored in book form. While a multiple method teaching approach is utilized extensively in math education, there are very few journal articles and no texts written on this topic in science. Teaching multiple methods to science students in order to solve quantitative word problems is important for two reasons. First it challenges the practice by teachers that one specific method should be used when solving problems. Secondly, it calls into question the belief that multiple methods would confuse students and retard their learning. Using a case study approach and informed by research conducted by the author, this book claims that providing students with a choice of methods as well as requiring additional methods as a way to validate results can be beneficial to student learning. A close reading of the literature reveals that time spent on elucidating concepts rather than on algorithmic methodologies is a critical issue when trying to have students solve problems with understanding. It is argued that conceptual understanding can be enhanced through the use of multiple methods in an environment where students can compare, evaluate, and verbally discuss competing methodologies through the facilitation of the instructor. This book focuses on two very useful methods: proportional reasoning (PR) and dimensional analysis (DA). These two methods are important because they can be used to solve a large number of problems in all of the four academic sciences (biology, chemistry, physics, and earth science). This book concludes with a plan to integrate DA and PR into the academic science curriculum starting in late elementary school through to the introductory college level. A challenge is presented to teachers as well as to textbook writers who rely on the single-method paradigm to consider an alternative way to teach scientific problem solving.
Author : M. Ediger
Publisher : Discovery Publishing House
Page : 316 pages
File Size : 43,8 Mb
Release : 2010
Category : Mathematics
ISBN : 817141687X
Contents: Current Concepts in Teaching Mathematics, Psychology in Teaching Mathematics, Philosophy in Teaching Mathematics, Grouping Pupils in the Classroom, Problem Solving in Mathematics, Challenge and Learning Opportunities in Mathematics, Multiple Intelligences and Their Implementation in Mathematics Curriculum, Reading in Mathematics, Technology in the Mathematics Curriculum, Gifted Students in Mathematics, Vital Issues in Teaching Mathematics, Content in the Mathematics Curriculum, Learning Activities and Teaching Methods in Mathematics, Sequence in Mathematics, Mathematics-Social Studies, Making the Connections, Objectives in the Mathematics Curriculum, Organising for Instruction in Mathematics, Sequence in Primary Grade Mathematics, Appraising Student Achievement in Mathematics.
Author : Edward J. Thomas,John R. Brunsting,Pam L. Warrick
Publisher : Corwin Press
Page : 225 pages
File Size : 50,7 Mb
Release : 2010-08-10
Category : Education
ISBN : 9781412968355
One key to raising achievement in mathematics is to recognize that all students have preferred styles of thinking and learning. By rotating teaching strategies, you can reach learners through their preferred styles, as well as challenge students to think in other styles. Styles and Strategies for Teaching High School Mathematics provides a set of powerful, research-based strategies to help high school teachers differentiate mathematics instruction and assessment according to their students' learning styles. Presenting four distinct mathematical learning styles--Mastery, Understanding, Self-Expressive, and Interpersonal--this book offers classroom-tested instructional strategies that can be mixed and matched to reach all learners. Compatible with any curriculum or textbook, the book: - Explains how the strategies address NCTM process standards and students' learning styles - Includes step-by-step directions, examples, and planning considerations for each strategy - Provides reproducible forms for implementing the strategies - Offers variations and ways to adapt each strategy to meet a variety of instructional demands With assessment components woven throughout, this invaluable guide helps high school mathematics teachers effectively reach and teach today's adolescents.
Author : Robert J. Sovchik
Publisher : HarperCollins Publishers
Page : 586 pages
File Size : 46,8 Mb
Release : 1989
Category : Education
ISBN : CORNELL:31924058893391
A textbook to help pre-service and in-service teachers. Each chapter lists objectives and main themes and ends with discussion questions. Annotation copyrighted by Book News, Inc., Portland, OR
Author : Carol Ann Tomlinson,Jay McTighe
Publisher : ASCD
Page : 209 pages
File Size : 40,7 Mb
Release : 2006-01-15
Category : Education
ISBN : 9781416603764
Teachers struggle every day to bring quality instruction to their students. Beset by lists of content standards and accompanying "high-stakes" accountability tests, many educators sense that both teaching and learning have been redirected in ways that are potentially impoverishing for those who teach and those who learn. Educators need a model that acknowledges the centrality of standards but also ensures that students truly understand content and can apply it in meaningful ways. For many educators, Understanding by Design addresses that need. Simultaneously, teachers find it increasingly difficult to ignore the diversity of the learners who populate their classrooms. Few teachers find their work effective or satisfying when they simply "serve up" a curriculum—even an elegant one—to students with no regard for their varied learning needs. For many educators, Differentiated Instruction offers a framework for addressing learner variance as a critical component of instructional planning. In this book the two models converge, providing readers fresh perspectives on two of the greatest contemporary challenges for educators: crafting powerful curriculum in a standards-dominated era and ensuring academic success for the full spectrum of learners. Each model strengthens the other. Understanding by Design is predominantly a curriculum design model that focuses on what we teach. Differentiated Instruction focuses on whom we teach, where we teach, and how we teach. Carol Ann Tomlinson and Jay McTighe show you how to use the principles of backward design and differentiation together to craft lesson plans that will teach essential knowledge and skills for the full spectrum of learners. Connecting content and kids in meaningful ways is what teachers strive to do every day. In tandem, UbD and DI help educators meet that goal by providing structures, tools, and guidance for developing curriculum and instruction that bring to students the best of what we know about effective teaching and learning.
Author : Peter Appelbaum,with David Scott Allen
Publisher : Routledge
Page : 484 pages
File Size : 49,8 Mb
Release : 2008-06-30
Category : Education
ISBN : 9781135892234
This alternative textbook for courses on teaching mathematics asks teachers and prospective teachers to reflect on their relationships with mathematics and how these relationships influence their teaching and the experiences of their students. Applicable to all levels of schooling, the book covers basic topics such as planning and assessment, classroom management, and organization of classroom experiences; it also introduces some novel approaches to teaching mathematics, such as psychoanalytic perspectives and post-modern conceptions of curriculum. Traditional methods-of-teaching issues are recast in a new discourse, provoking new ideas for making mathematics education meaningful to teachers as well as their students. Co-authored by a professor and coordinator of mathematics education programs, with illustrative contributions from practicing elementary, middle, and high school mathematics teachers, this book is a unique collaboration across all pre-college grades, making it ideal for teacher discussion groups at any level. Embracing Mathematics: integrates pedagogy and content exploration in ways that are unique in mathematics education features textboxes with reflection questions and suggested explorations that can be easily utilized as homework for a course or as discussion opportunities for teacher reading groups offers examples of teachers’ action research projects that grew out of their interactions with the main chapters in the book is not narrowly limited to mathematics education but incorporates curriculum studies – an invaluable asset that allows instructors to find more ways to engage students in self-reflexive acts of teaching Embracing Mathematics is intended as a method text for undergraduate and master’s-level mathematics education courses and more specialized graduate courses on mathematics education, and as a resource for teacher discussion groups.
Author : Linda Huetinck,Sara N. Munshin
Publisher : Prentice Hall
Page : 612 pages
File Size : 48,7 Mb
Release : 2000
Category : Mathematics
ISBN : UOM:39015048836129
For courses in Mathematics Methods for the Secondary School. This is the first middle and secondary math methods text to focus on reform and the national standards. It prepares teachers for the challenge of assisting all students in reaching the highest level of mathematics according to their interest and realistic ambitions. It also provides contemporary methods of teaching mathematics-which facilitates successful instruction-with a strong understanding of the philosophy and psychology behind sound practices. Coverage includes methodology, curriculum materials, and use of technology, accompanied by many practical suggestions for implementation.
Author : Douglas K. Brumbaugh
Publisher : Routledge
Page : 314 pages
File Size : 52,7 Mb
Release : 2004-09-22
Category : Education
ISBN : 9781135633806
THE book for elementary education mathematics content courses! Designed to help prospective teachers of elementary school mathematics learn content beyond the rote level, this text stimulates readers to think beyond just getting the problem right and fosters their development into thoughtful, reflective, self-motivated, life-long learners. It stresses the what and why of elementary school mathematics content. Hints are provided about how to teach the content but this is mostly left to courses and texts that are dedicated to that purpose. The text is organized around the National Council for Teachers of Mathematics' Principles and Standards for School Mathematics. The Standards dictate the basic sections of the text. Within each section, appropriate specific topics are developed, intertwined with technology, problem solving, assessment, equity issues, planning, teaching skills, use of manipulatives, sequencing, and much more. In addition, major focal points of the Standards are emphasized throughout: effective teachers of mathematics should be able to motivate all students to learn, should understand the developmental levels of how children learn, should concentrate on what children need to become active participants in the learning environment, and should be engaged in ongoing investigations of new mathematical concepts and teaching strategies. Mathematics Content for Elementary Teachers is based on several fundamental premises: *The focus of mathematics education should be on the process, not the answer. *Elementary teachers should know the mathematics content they are teaching, know more than the content they are teaching, and teach from the overflow of knowledge. *It is important for teachers to be flexible in allowing students to use different procedures--teaching from the "overflow of knowledge" implies knowing how to do a given operation more than one way and being willing to examine many different ways. *Teachers need to learn to carefully cover the topics to be taught, to reflect upon them, and to be able to organize them. To help prospective elementary teachers concentrate on the mathematics content they will be expected to teach and begin to build the foundation for the methods they will use, this text includes only elementary mathematics content and does not address middle school concepts. Pedagogical features: *The text is organized according to NCTM Standards. *An informal writing style speaks directly to readers and is geared to pre-service teachers. *Focus is given to multiple methods of problem solving at four developmental levels. *Questions, exercises, and activities are interspersed throughout each section rather than gathered at the end of each chapter. *Complete solutions for exercises are provided.
Author : Terry Wood,Barbara Scott Nelson,Janet E. Warfield
Publisher : Routledge
Page : 324 pages
File Size : 48,6 Mb
Release : 2014-04-04
Category : Education
ISBN : 9781135658724
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.
Author : Edward J. Thomas,John R. Brunsting
Publisher : Corwin Press
Page : 209 pages
File Size : 43,7 Mb
Release : 2010-03-30
Category : Education
ISBN : 9781452223117
Addressing NCTM process standards, this book presents four mathematical learning styles and offers middle school teachers effective, research-based instructional strategies for teaching mathematics to each type of learner. Learn From the Experts! Sign up for a Math Professional Development Institute in your area—visit www.ThoughtfulClassroom.com/events
Author : Signe E. Kastberg,Andrew M. Tyminski,Alyson E. Lischka,Wendy B. Sanchez
Publisher : IAP
Page : 373 pages
File Size : 52,5 Mb
Release : 2017-09-01
Category : Mathematics
ISBN : 9781641130271
Building Support for Scholarly Practices in Mathematics Methods is the product of collaborations among over 40 mathematics teacher educators (MTEs) who teach mathematics methods courses for prospective PreK?12 teachers in many different institutional contexts and structures. Each chapter unpacks ways in which MTEs use theoretical perspectives to inform their construction of goals, activities designed to address those goals, facilitation of activities, and ways in which MTEs make sense of experiences prospective teachers have as a result. The book is organized in seven sections that highlight how the theoretical perspective of the instructor impacts scholarly inquiry and practice. The final section provides insight as we look backward to reflect, and forward with excitement, moving with the strength of the variation we found in our stories and the feeling of solidarity that results in our understandings of purposes for and insight into teaching mathematics methods. This book can serve as a resource for MTEs as they discuss and construct scholarly practices and as they undertake scholarly inquiry as a means to systematically examine their practice.