Douglas K. Brumbaugh – författare

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.

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.

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 fifth edition combines this pragmatic approach with truly innovative and integrated technology content throughout. Synthesized content between the book and a comprehensive Instructor and Student Resource website offers expanded discussion of chapter topics, additional examples, and technological tips, such as using and assessing artificial intelligence.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 fifth edition:A fully revised chapter on technological advancements in the teaching of mathematics, including the use of artificial intelligenceA new chapter on equity, shame, and anxiety in the mathematics classroomConnections to both the updated National Council of Teachers of Mathematics (NCTM) Focal Points and StandardsProblem-solving challenges and sticky questions featured in each chapter to encourage students to think through everyday issues and possible solutionsA fresh interior design to better highlight pedagogical elements and key featuresA completely updated Instructor and Student Resource site with chapter-by-chapter video lessons, teacher tools, problem solving Q&As, exercises, and helpful links and resources.

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 fifth edition combines this pragmatic approach with truly innovative and integrated technology content throughout. Synthesized content between the book and a comprehensive Instructor and Student Resource website offers expanded discussion of chapter topics, additional examples, and technological tips, such as using and assessing artificial intelligence.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 fifth edition:A fully revised chapter on technological advancements in the teaching of mathematics, including the use of artificial intelligenceA new chapter on equity, shame, and anxiety in the mathematics classroomConnections to both the updated National Council of Teachers of Mathematics (NCTM) Focal Points and StandardsProblem-solving challenges and sticky questions featured in each chapter to encourage students to think through everyday issues and possible solutionsA fresh interior design to better highlight pedagogical elements and key featuresA completely updated Instructor and Student Resource site with chapter-by-chapter video lessons, teacher tools, problem solving Q&As, exercises, and helpful links and resources.

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,