This developmentally sound, research-based, practical text speaks directly to preservice elementary mathematics students about the multitude of ways they can help their future students learn to see the power, beauty, necessity, and usefulness of mathematics in the world.Part 1 deals with guiding principles that permeate the text, while Parts 2-11 deal with the specific NCTM Standards for grades K-6. Teaching K-6 Mathematics: *is aligned with the current NCTM Curriculum and Evaluation Standards for School Mathematics; *integrates content and methodology; *emphasizes use of technology as a teaching/learning tool; *stresses problem solving; *provides basic information on current research in mathematics education; *focuses on identification of error patterns and analysis; *uses a down-to-earth, friendly writing style that engages the student rather than prescribing what to do; and *includes many activities and exercises, including games, tricks, and amusements that can be used in the classroom to increase student interest in mathematics. Features: *Technology is integral throughout the text. Students are expected to perform Internet searches, investigate new sites appropriate for elementary students, sample new software that could be used in the classroom, and develop ways to blend calculators into the curriculum. *Manipulatives are considered essential for students to learn elementary mathematics concepts. Cuisenaire rods, base 10- blocks, chips, number lines, and geoboards are all part of the manipulative landscape that is created in this text. *Careful attention is given to blending rote work, developmental activities, fun, application, technology, manipulatives, assessment, and planning, so that prospective teachers become accustomed to using varied approaches and decision making as a curriculum is determined. *Tricks, Activities, and Games (TAG) provide a wealth of ideas to attract students to learning mathematics.

Teaching K-6 Mathematics

Science & Math

Rock, David

Brumbaugh, Douglas K.

Brumbaugh, Linda S.

Rock, Michelle Lynn

Mathematics

Routledge

Teaching Secondary Mathematics, Second Edition is practical, student-friendly, and solidly grounded in up-to-date research and theory. The text is organized in three parts: General Fundamentals; Mathematics Education Fundamentals; and Content and Strategies. Throughout, emphasis is given to: * Technology as a teaching tool. Technology is emphasized throughout the text, and many examples for use in secondary classrooms are included. *Development of teaching professionals.By encouraging students to do a variety of problems, and to discuss and reflect on the problem settings, their teaching professionalism is extended and enhanced, they become more self-motivated, and can become life-long learners. *Pedagogical features that engage and motivate students.A variety of activities stimulate the student to extend the knowledge base and begin building a framework that will be used in the secondary classroom, including reflective thought questions, mathematical challenges, technology-based applications, student-life-based exercises, games, tricks, and group discussions. Icons identify strands that students will find useful as they continue their professional development. New in the Second Edition: * All chapters are thoroughly revised and updated to incorporate current research and thinking. * The National Council of Teachers of Mathematics Standards 2000 are integrated throughout the text. * The technology chapter is rewritten to reflect recent technological advancements. * A totally new chapter on probability and statistics is included; it discusses developments that have come charging onto the scene as a result of the data-rich society in which we live. * An application or activity lesson that puts the topics being discussed into action has been added to most chapters. Value-added software!MathXpert Plus(TM) Calculus Assistant (a trademark of Recognix, Inc. dba MathXpert) is now packaged with the text. It provides a unique opportunity for learning algebra-based mathematics from Algebra 1 and 2 through trigonometry, pre-calculus, and calculus. There are over 6,700 built-in problems, but users can edit these problems, or type in their own problems. Problems are systematically solved as well as graphed. The solution, with statements and reasons for each step, is displayed on screen. This solution can be developed by the user step-by-step, or generated automatically by the program. If the user opts to develop a solution, general or specific hints are provided to guide the user to the correct solution. MathXpert Plus(TM) Calculus Assistant is a powerful teaching tool. It provides graph capability that uses variables with automatically created increase/decrease buttons, and assists teachers in presenting new topics to students. Multiple graphs can be displayed on one screen or several screens at the same time. The inclusion of MathXpert Plus(TM) Calculus Assistant with this text--at a great savings over the regular price--provides an outstanding opportunity for students to begin a collection of software that will help them become more effective teachers of mathematics at the secondary level.

Teaching Secondary Mathematics

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.

Mathematics Content for Elementary Teachers

Moch, Peggy L.

Wilkinson, MaryE

Teaching Secondary Mathematics, Third Edition is practical, student-friendly, and solidly grounded in up-to-date research and theory. This popular text for secondary mathematics methods courses provides useful models of how concepts typically found in a secondary mathematics curriculum can be delivered so that all students develop a positive attitude about learning and using mathematics in their daily lives. A variety of approaches, activities, and lessons is used to stimulate the reader's thinking--technology, reflective thought questions, mathematical challenges, student-life based applications, and group discussions. Technology is emphasized as a teaching tool throughout the text, and many examples for use in secondary classrooms are included. Icons in the margins throughout the book are connected to strands that readers will find useful as they build their professional knowledge and skills: Problem Solving, Technology, History, the National Council of Teachers of Mathematics Principles for School Mathematics, and "Do" activities asking readers to do a problem or activity before reading further in the text. By solving problems, and discussing and reflecting on the problem settings, readers extend and enhance their teaching professionalism, they become more self-motivated, and they are encouraged to become lifelong learners. The text is organized in three parts: *General Fundamentals--Learning Theory, Curriculum; and Assessment; Planning; Skills in Teaching Mathematics; *Mathematics Education Fundamentals--Technology; Problem Solving; Discovery; Proof; and *Content and Strategies--General Mathematics; Algebra 1; Geometry; Advanced Algebra and Trigonometry; Pre-Calculus; Calculus. New in the Third Edition: *All chapters have been thoroughly revised and updated to incorporate current research and thinking. *The National Council of Teachers of Mathematics Standards 2000 are integrated throughout the text. *Chapter 5, Technology, has been rewritten to reflect new technological advances. *A Learning Activity ready for use in a secondary classroom has been added to the end of each chapter. *Two Problem-Solving Challenges with solutions have been added at the end of each chapter. *Historical references for all mathematicians mentioned in the book have been added within the text and in the margins for easy reference. *Updated Internet references and resources have been incorporated to enhance the use of the text.

This book--a primary text for secondary mathematics methods students--is grounded in the NCTM standards and informed by up-to-date research and theory in mathematics education. The book is organized in three parts: General Fundamentals (a broad overview of education, curriculum, learning theory, discipline, planning, and adolescent behavior); Mathematics Education Fundamentals (technology, problem solving, discovery, and proof); and Content and Strategies (Algebra I, Geometry, Algebra II with Trigonometry, Pre-Calculus, and Calculus). To motivate students to become effective teachers of mathematics, the text engages them in a variety of stimulating activities such as reflective thought questions, mathematical challenges, and student life-based applications. Throughout the text, emphasis is given to: * Technology as a teaching tool. Many examples for secondary classrooms are included. * Development of teaching professionals who are self motivated, life-long learners. Students are encouraged to do a variety of problems; once they have done the problem, the setting is extended through discussion and reflection. * Connectivity. Concepts that are traditionally covered in one area are mapped into related areas; discussions focus on how an idea used in one environment can be used in a different environment.

Ashe, Donna E.

Ashe, Jerry L.

Brady, Thomas J. P.

Solidly grounded in up-to-date research, theory and technology, Teaching Secondary Mathematics is a practical, student-friendly, and popular text for secondary mathematics methods courses. It provides clear and useful approaches for mathematics teachers, and shows how concepts typically found in a secondary mathematics curriculum can be taught in a positive and encouraging way. The thoroughly revised fourth edition combines this pragmatic approach with truly innovative and integrated technology content throughout. Synthesized content between the book and comprehensive companion website offers expanded discussion of chapter topics, additional examples and technological tips.  Each chapter features tried-and-tested pedagogical techniques, problem solving challenges, discussion points, activities, mathematical challenges, and student-life based applications that will encourage students to think and do.  New to the 4th edition:   A fully revised and updated chapter on technological advancements in the teaching of mathematics   Connections to both the updated NCTM Focal Points as well as the new Common Core State Standards are well-integrated throughout the text   Problem solving challenges and sticky questions featured in each chapter to encourage students to think through everyday issues and possible solutions.   A fresh interior design to better highlight pedagogical elements and key features   A companion website with chapter-by-chapter video lessons, teacher tools, problem solving Q&As, helpful links and resources, and embedded graphing calculators.

See the best price to sell, buy, or rent books by Brumbaugh, Douglas K.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Brumbaugh, Douglas K.

See the best price to sell, buy, or rent books by Brumbaugh, Douglas K.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Teaching K-6 Mathematics

Teaching Secondary Mathematics

Mathematics Content for Elementary Teachers

Teaching Secondary Mathematics

Teaching Secondary Mathematics

Teaching Secondary Mathematics

Teaching Secondary Mathematics

Mathematics Content for Elementary Teachers

Teaching K-6 Mathematics

Teaching Secondary Mathematics