Douglas K. Brumbaugh – författare

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:

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:

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.

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.

Middle school teaching and learning has a distinct pedagogy and curriculum that is grounded in the concept of developmentally appropriate education. This text is designed to meet the very specific professional development needs of future teachers of mathematics in middle school environments.Closely aligned with the NCTM Principles and Standards for School Mathematics, the reader-friendly, interactive format encourages readers to begin developing their own teaching style and making informed decisions about how to approach their future teaching career. A variety of examples establish a broad base of ideas intended to stimulate the formative development of concepts and models that can be employed in the classroom. Readers are encouraged and motivated to become teaching professionals who are lifelong learners.The text offers a wealth of technology-related information and activities; reflective, thought-provoking questions; mathematical challenges; student life-based applications; TAG (tricks-activities-games) sections; and group discussion prompts to stimulate each future teacher''s thinking. "Your Turn" sections ask readers to work with middle school students directly in field experience settings. This core text for middle school mathematics methods courses is also appropriate for elementary and secondary mathematics methods courses that address teaching in the middle school grades and as an excellent in-service resource for aspiring or practicing teachers of middle school mathematics as they update their knowledge base.Topics covered in Teaching Middle School Mathematics:*NCTM Principles for School Mathematics;*Representation;*Connections;*Communication;*Reasoning and Proof;*Problem Solving;*Number and Operations;*Measurement;*Data Analysis and Probability;*Algebra in the Middle School Classroom; and*Geometry in the Middle School Classroom.

Middle school teaching and learning has a distinct pedagogy and curriculum that is grounded in the concept of developmentally appropriate education. This text is designed to meet the very specific professional development needs of future teachers of mathematics in middle school environments.Closely aligned with the NCTM Principles and Standards for School Mathematics, the reader-friendly, interactive format encourages readers to begin developing their own teaching style and making informed decisions about how to approach their future teaching career. A variety of examples establish a broad base of ideas intended to stimulate the formative development of concepts and models that can be employed in the classroom. Readers are encouraged and motivated to become teaching professionals who are lifelong learners.The text offers a wealth of technology-related information and activities; reflective, thought-provoking questions; mathematical challenges; student life-based applications; TAG (tricks-activities-games) sections; and group discussion prompts to stimulate each future teacher''s thinking. "Your Turn" sections ask readers to work with middle school students directly in field experience settings. This core text for middle school mathematics methods courses is also appropriate for elementary and secondary mathematics methods courses that address teaching in the middle school grades and as an excellent in-service resource for aspiring or practicing teachers of middle school mathematics as they update their knowledge base.Topics covered in Teaching Middle School Mathematics:*NCTM Principles for School Mathematics;*Representation;*Connections;*Communication;*Reasoning and Proof;*Problem Solving;*Number and Operations;*Measurement;*Data Analysis and Probability;*Algebra in the Middle School Classroom; and*Geometry in the Middle School Classroom.