Secondary Mathematics For Mathematicians And Educators

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Secondary Mathematics for Mathematicians and Educators

Author : Michael Weiss
Publisher : Routledge
ISBN 13 : 1351587676
Total Pages : 289 pages
Book Rating : 4.3/5 (515 download)

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Book Synopsis Secondary Mathematics for Mathematicians and Educators by : Michael Weiss

Download or read book Secondary Mathematics for Mathematicians and Educators written by Michael Weiss and published by Routledge. This book was released on 2020-10-05 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this engaging text, Michael Weiss offers an advanced view of the secondary mathematics curriculum through the prism of theory, analysis, and history, aiming to take an intellectually and mathematically mature perspective on the content normally taught in high school mathematics courses. Rather than a secondary mathematics textbook, Weiss presents here a textbook about the secondary mathematics curriculum, written for mathematics educators and mathematicians and presenting a long-overdue modern-day integration of the disparate topics and methods of secondary mathematics into a coherent mathematical theory. Areas covered include: Polynomials and polynomial functions; Geometry, graphs, and symmetry; Abstract algebra, linear algebra, and solving equations; Exponential and logarithmic functions; Complex numbers; The historical development of the secondary mathematics curriculum. Written using precise definitions and proofs throughout on a foundation of advanced content knowledge, Weiss offers a compelling and timely investigation into the secondary mathematics curriculum, relevant for preservice secondary teachers as well as graduate students and scholars in both mathematics and mathematics education.

Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers

Author : Nicholas H. Wasserman
Publisher : Springer
ISBN 13 : 3319992147
Total Pages : 461 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers by : Nicholas H. Wasserman

Download or read book Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers written by Nicholas H. Wasserman and published by Springer. This book was released on 2018-12-12 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: Secondary mathematics teachers are frequently required to take a large number of mathematics courses – including advanced mathematics courses such as abstract algebra – as part of their initial teacher preparation program and/or their continuing professional development. The content areas of advanced and secondary mathematics are closely connected. Yet, despite this connection many secondary teachers insist that such advanced mathematics is unrelated to their future professional work in the classroom. This edited volume elaborates on some of the connections between abstract algebra and secondary mathematics, including why and in what ways they may be important for secondary teachers. Notably, the volume disseminates research findings about how secondary teachers engage with, and make sense of, abstract algebra ideas, both in general and in relation to their own teaching, as well as offers itself as a place to share practical ideas and resources for secondary mathematics teacher preparation and professional development. Contributors to the book are scholars who have both experience in the mathematical preparation of secondary teachers, especially in relation to abstract algebra, as well as those who have engaged in related educational research. The volume addresses some of the persistent issues in secondary mathematics teacher education in connection to advanced mathematics courses, as well as situates and conceptualizes different ways in which abstract algebra might be influential for teachers of algebra. Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers is a productive resource for mathematics teacher educators who teach capstone courses or content-focused methods courses, as well as for abstract algebra instructors interested in making connections to secondary mathematics.

Mathematics for High School Teachers

Author : Zalman Usiskin
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 616 pages
Book Rating : 4.X/5 (4 download)

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Book Synopsis Mathematics for High School Teachers by : Zalman Usiskin

Download or read book Mathematics for High School Teachers written by Zalman Usiskin and published by Prentice Hall. This book was released on 2003 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: For algebra or geometry courses for teachers; courses in topics of mathematics; capstone courses for teachers or other students of mathematics; graduate courses for practicing teachers; or students who want a better understanding of mathematics. Filling a wide gap in the market, this text provides current and prospective high school teachers with an advanced treatment of mathematics that will help them understand the connections between the mathematics they will be teaching and the mathematics learned in college. It presents in-depth coverage of the most important concepts in high school mathematics: real numbers, functions, congruence, similarity, and more.

Mathematical Understanding for Secondary Teaching

Author : M. Kathleen Heid
Publisher : IAP
ISBN 13 : 1681231158
Total Pages : 471 pages
Book Rating : 4.6/5 (812 download)

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Book Synopsis Mathematical Understanding for Secondary Teaching by : M. Kathleen Heid

Download or read book Mathematical Understanding for Secondary Teaching written by M. Kathleen Heid and published by IAP. This book was released on 2015-12-01 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: A perennial discussion about teacher development is the optimal content background for teachers. In recent years, that discussion has taken center stage in the work of mathematics education researchers, mathematicians, mathematics professional developers, and mathematics education policymakers. Much of the existing and prior work in this area has been directed toward mathematical knowledge for teaching at the elementary level. The work described in this volume takes a sometimes-neglected approach, focusing on the dynamic nature of mathematical understanding rather than on a stable description of mathematical knowledge, and on mathematics for secondary teaching rather than mathematics for teaching at the elementary level. The work reported in Mathematical Understanding for Secondary Teaching: A Framework and Classroom-Based Situations is a practice-based response to the question of what mathematical understandings secondary teachers could productively use in their teaching. For each of more than 50 events, our team of almost 50 mathematics educators who were experienced mathematics teachers developed descriptions of the mathematics that teachers could use—each of those descriptions (consisting of the event and the mathematics related to the event) is what we call a Situation. We developed our Framework for Mathematical Understanding for Secondary Teaching (MUST) based on an analysis of our entire set of Situations. We call the work practice-based because the MUST framework is based on actual events that we witnessed in our observations of secondary mathematics practice. Groups of mathematics teachers can use this volume to enhance their own understandings of secondary mathematics. School leaders and professional developers in secondary mathematics will find our MUST Framework and Situations useful as they work with teachers in enhancing and deepening their understanding of secondary mathematics. Mathematics teacher educators and mathematicians who teach mathematics to prospective and in-service secondary teachers will be able to couch their mathematical discussions in the Situations—examples that arise from secondary mathematics classrooms. They will be able to use this volume as they design courses and programs that enhance mathematics from the perspectives identified in the MUST framework. Policymakers and researchers can use our MUST framework as they consider the mathematics background needed by teachers.

Understanding Analysis and its Connections to Secondary Mathematics Teaching

Author : Nicholas H. Wasserman
Publisher : Springer Nature
ISBN 13 : 3030891984
Total Pages : 226 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Understanding Analysis and its Connections to Secondary Mathematics Teaching by : Nicholas H. Wasserman

Download or read book Understanding Analysis and its Connections to Secondary Mathematics Teaching written by Nicholas H. Wasserman and published by Springer Nature. This book was released on 2022-01-03 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Getting certified to teach high school mathematics typically requires completing a course in real analysis. Yet most teachers point out real analysis content bears little resemblance to secondary mathematics and report it does not influence their teaching in any significant way. This textbook is our attempt to change the narrative. It is our belief that analysis can be a meaningful part of a teacher's mathematical education and preparation for teaching. This book is a companion text. It is intended to be a supplemental resource, used in conjunction with a more traditional real analysis book. The textbook is based on our efforts to identify ways that studying real analysis can provide future teachers with genuine opportunities to think about teaching secondary mathematics. It focuses on how mathematical ideas are connected to the practice of teaching secondary mathematics–and not just the content of secondary mathematics itself. Discussions around pedagogy are premised on the belief that the way mathematicians do mathematics can be useful for how we think about teaching mathematics. The book uses particular situations in teaching to make explicit ways that the content of real analysis might be important for teaching secondary mathematics, and how mathematical practices prevalent in the study of real analysis can be incorporated as practices for teaching. This textbook will be of particular interest to mathematics instructors–and mathematics teacher educators–thinking about how the mathematics of real analysis might be applicable to secondary teaching, as well as to any prospective (or current) teacher who has wondered about what the purpose of taking such courses could be.

The Mathematics that Every Secondary Math Teacher Needs to Know

Author : Alan Sultan
Publisher : Routledge
ISBN 13 : 1135157839
Total Pages : 761 pages
Book Rating : 4.1/5 (351 download)

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Book Synopsis The Mathematics that Every Secondary Math Teacher Needs to Know by : Alan Sultan

Download or read book The Mathematics that Every Secondary Math Teacher Needs to Know written by Alan Sultan and published by Routledge. This book was released on 2010-09-13 with total page 761 pages. Available in PDF, EPUB and Kindle. Book excerpt: What knowledge of mathematics do secondary school math teachers need to facilitate understanding, competency, and interest in mathematics for all of their students? This unique text and resource bridges the gap between the mathematics learned in college and the mathematics taught in secondary schools. Written in an informal, clear, and interactive learner-centered style, it is designed to help pre-service and in-service teachers gain the deep mathematical insight they need to engage their students in learning mathematics in a multifaceted way that is interesting, developmental, connected, deep, understandable, and often, surprising and entertaining. Features include Launch questions at the beginning of each section, Student Learning Opportunities, Questions from the Classroom, and highlighted themes throughout to aid readers in becoming teachers who have great "MATH-N-SIGHT": M Multiple Approaches/Representations A Applications to Real Life T Technology H History N Nature of Mathematics: Reasoning and Proof S Solving Problems I Interlinking Concepts: Connections G Grade Levels H Honing of Mathematical Skills T Typical Errors This text is aligned with the recently released Common Core State Standards, and is ideally suited for a capstone mathematics course in a secondary mathematics certification program. It is also appropriate for any methods or mathematics course for pre- or in-service secondary mathematics teachers, and is a valuable resource for classroom teachers.

Teaching Secondary Mathematics

Author : David Rock
Publisher : Routledge
ISBN 13 : 1136328149
Total Pages : 362 pages
Book Rating : 4.1/5 (363 download)

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Book Synopsis Teaching Secondary Mathematics by : David Rock

Download or read book Teaching Secondary Mathematics written by David Rock and published by Routledge. This book was released on 2013-02-15 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Exemplary Practices for Secondary Math Teachers

Author : Alfred S. Posamentier
Publisher : ASCD
ISBN 13 : 9781416605249
Total Pages : 231 pages
Book Rating : 4.6/5 (52 download)

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Book Synopsis Exemplary Practices for Secondary Math Teachers by : Alfred S. Posamentier

Download or read book Exemplary Practices for Secondary Math Teachers written by Alfred S. Posamentier and published by ASCD. This book was released on 2007 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every year new secondary mathematics teachers take up positions in middle and high schools. The luckiest novices receive assistance from a coach or mentor: a master mathematics teacher who makes constructive comments, models effective approaches, and illuminates other practical aspects of teaching secondary math. But many new teachers don't have this advantage and must further their development on their own. If you are one of these teachers, this is the book you need. In these pages, veteran mathematics educators Alfred S. Posamentier, Daniel Jaye, and Stephen Krulik present a treasure chest of ideas to guide new secondary math teachers through the challenging first few months and also provide more experienced teachers with interesting alternatives to familiar methods. The topics covered include * The most effective instructional practices * The best uses of the textbook * Designing successful lessons * Creating homework that promotes learning * Incorporating challenge * Teaching reasoning and problem solving * Strategies for assessment and grading * Specific innovative ideas for teaching key concepts * Options for extracurricular activities * Long-term professional enrichment and growth. It's during the first few years of a teacher's experience that he or she develops the habits, methods, procedures, and techniques that tend to define a career. Exemplary Practices for Secondary Math Teachers provides both a foundation for excellence and a touchstone for years to come.

Mathematical Understanding for Secondary Teaching

Author : Mary Kathleen Heid
Publisher : Information Age Publishing
ISBN 13 : 9781681231143
Total Pages : 0 pages
Book Rating : 4.2/5 (311 download)

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Book Synopsis Mathematical Understanding for Secondary Teaching by : Mary Kathleen Heid

Download or read book Mathematical Understanding for Secondary Teaching written by Mary Kathleen Heid and published by Information Age Publishing. This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A perennial discussion about teacher development is the optimal content background for teachers. In recent years, that discussion has taken center stage in the work of mathematics education researchers, mathematicians, mathematics professional developers, and mathematics education policymakers. Much of the existing and prior work in this area has been directed toward mathematical knowledge for teaching at the elementary level. The work described in this volume takes a sometimes-neglected approach, focusing on the dynamic nature of mathematical understanding rather than on a stable description of mathematical knowledge, and on mathematics for secondary teaching rather than mathematics for teaching at the elementary level. The work reported in Mathematical Understanding for Secondary Teaching: A Framework and Classroom-Based Situations is a practice-based response to the question of what mathematical understandings secondary teachers could productively use in their teaching. For each of more than 50 events, our team of almost 50 mathematics educators who were experienced mathematics teachers developed descriptions of the mathematics that teachers could use-each of those descriptions (consisting of the event and the mathematics related to the event) is what we call a Situation. We developed our Framework for Mathematical Understanding for Secondary Teaching (MUST) based on an analysis of our entire set of Situations. We call the work practice-based because the MUST framework is based on actual events that we witnessed in our observations of secondary mathematics practice. Groups of mathematics teachers can use this volume to enhance their own understandings of secondary mathematics. School leaders and professional developers in secondary mathematics will find our MUST Framework and Situations useful as they work with teachers in enhancing and deepening their understanding of secondary mathematics. Mathematics teacher educators and mathematicians who teach mathematics to prospective and in-service secondary teachers will be able to couch their mathematical discussions in the Situations-examples that arise from secondary mathematics classrooms. They will be able to use this volume as they design courses and programs that enhance mathematics from the perspectives identified in the MUST framework. Policymakers and researchers can use our MUST framework as they consider the mathematics background needed by teachers.

Mathematics Education

Author : Jacqueline Dewar
Publisher : Springer
ISBN 13 : 3319449508
Total Pages : 391 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Mathematics Education by : Jacqueline Dewar

Download or read book Mathematics Education written by Jacqueline Dewar and published by Springer. This book was released on 2016-11-26 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many in the mathematics community in the U.S. are involved in mathematics education in various capacities. This book highlights the breadth of the work in K-16 mathematics education done by members of US departments of mathematical sciences. It contains contributions by mathematicians and mathematics educators who do work in areas such as teacher education, quantitative literacy, informal education, writing and communication, social justice, outreach and mentoring, tactile learning, art and mathematics, ethnomathematics, scholarship of teaching and learning, and mathematics education research. Contributors describe their work, its impact, and how it is perceived and valued. In addition, there is a chapter, co-authored by two mathematicians who have become administrators, on the challenges of supporting, evaluating, and rewarding work in mathematics education in departments of mathematical sciences. This book is intended to inform the readership of the breadth of the work and to encourage discussion of its value in the mathematical community. The writing is expository, not technical, and should be accessible and informative to a diverse audience. The primary readership includes all those in departments of mathematical sciences in two or four year colleges and universities, and their administrators, as well as graduate students. Researchers in education may also find topics of interest. Other potential readers include those doing work in mathematics education in schools of education, and teachers of secondary or middle school mathematics as well as those involved in their professional development.

The Mathematics Teacher

Author :
Publisher :
ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis The Mathematics Teacher by :

Download or read book The Mathematics Teacher written by and published by . This book was released on 1913 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Mathematics Teacher Education Partnership

Author : W. Gary Martin
Publisher : IAP
ISBN 13 : 1641139331
Total Pages : 433 pages
Book Rating : 4.6/5 (411 download)

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Book Synopsis The Mathematics Teacher Education Partnership by : W. Gary Martin

Download or read book The Mathematics Teacher Education Partnership written by W. Gary Martin and published by IAP. This book was released on 2020-01-01 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of a body of work conducted over the past seven years related to the preparation of secondary mathematics teachers by the Mathematics Teacher Education Partnership (MTE-Partnership), a national consortium of more than 90 universities and 100 school systems. The MTE-Partnership is organized as a Networked Improvement Community (NIC), which combines the disciplined inquiry of improvement science with the power of networking to accelerate improvement by engaging a broad set of participants. The MTE-Partnership is addressing key challenges in secondary mathematics teacher preparation, including: • Supporting the development of content knowledge relevant to teaching secondary mathematics; • Providing effective clinical experiences to teacher candidates; • Recruiting secondary mathematics teacher candidates, ensuring program completion and their subsequent retention in the field as early career teachers; • Supporting overall transformation of secondary mathematics teacher preparation in alignment with these challenges; • Ensuring a focus on equity and social justice in secondary mathematics teacher recruitment, preparation, and induction. This book outlines existing knowledge related to each of these key challenges, as well as the work of Research Action Clusters (RACs) formed to address the challenges. Each RAC includes participants from multiple institutions who work collaboratively to iteratively develop, test, and refine processes and products that can help programs more effectively prepare secondary mathematics teacher candidates. The book describes promising approaches to improving aspects of secondary mathematics teacher preparation developed by the RACs, including specific products that have been developed, which will inform the work of others involved in secondary mathematics teacher preparation. In addition, reflections on the use of the NIC model provides insights for others considering this research design. Particular references to the Standards for Preparing Teachers of Mathematics (Association of Mathematics Teacher Educators, 2017) are included throughout the book.

The Essential Guide to Secondary Mathematics

Author : Colin Foster
Publisher : Routledge
ISBN 13 : 0415527708
Total Pages : 234 pages
Book Rating : 4.4/5 (155 download)

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Book Synopsis The Essential Guide to Secondary Mathematics by : Colin Foster

Download or read book The Essential Guide to Secondary Mathematics written by Colin Foster and published by Routledge. This book was released on 2013 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combining research-based theory with fresh, practical guidance for the classroom, this is a stimulating resource for all student and practising teachers looking for new ideas and inspiration.

Math Wars

Author : Carmen Latterell
Publisher : Bloomsbury Publishing USA
ISBN 13 : 0313027692
Total Pages : 200 pages
Book Rating : 4.3/5 (13 download)

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Book Synopsis Math Wars by : Carmen Latterell

Download or read book Math Wars written by Carmen Latterell and published by Bloomsbury Publishing USA. This book was released on 2004-12-30 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written for parents and other interested parties so that they can understand the great debate taking place in many states in this country about how to teach basic math. The debate centers around the standards written by the National Council of Teachers of Mathematics (NCTM), which call for a radically different approach to mathematics education. Because the issues are so heated between the NCTM-oriented curricula and traditional curricula (the curricula that NCTM-oriented replaced), the term Math Wars was coined to describe them. Parents are concerned about their children's math learning. Teachers are concerned about math teaching. When parents see what children are bringing home under the new curriculum, it is clear that their children are not working on the same mathematics that parents remember from the time when they were in school. But, the problem goes beyond grades K-12. Post-secondary mathematics courses are the fear of many students. The standards created by the NCTM do not necessarily prepare students for success, either on SATs or in college. Besides lack of knowledge about mathematics education, many parents have an additional problem in that they feel they lack knowledge in mathematics itself. This is very intimidating; thus it is difficult for parents to do anything about the confusing state of mathematics education. This book provides some answers.

Mathematics for Human Flourishing

Author : Francis Su
Publisher : Yale University Press
ISBN 13 : 0300237138
Total Pages : 287 pages
Book Rating : 4.3/5 (2 download)

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Book Synopsis Mathematics for Human Flourishing by : Francis Su

Download or read book Mathematics for Human Flourishing written by Francis Su and published by Yale University Press. This book was released on 2020-01-07 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.

Perspectives on Secondary Mathematics Education

Author : Jerry A. McIntosh
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 284 pages
Book Rating : 4.:/5 (43 download)

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Book Synopsis Perspectives on Secondary Mathematics Education by : Jerry A. McIntosh

Download or read book Perspectives on Secondary Mathematics Education written by Jerry A. McIntosh and published by Prentice Hall. This book was released on 1971 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Teaching Secondary Mathematics

Author : Alfred S. Posamentier
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 524 pages
Book Rating : 4.X/5 (4 download)

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Book Synopsis Teaching Secondary Mathematics by : Alfred S. Posamentier

Download or read book Teaching Secondary Mathematics written by Alfred S. Posamentier and published by Prentice Hall. This book was released on 2002 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: The revision of this book introduces the 2000 NCTM Principles and Standards and explains their use for teaching secondary school mathematics instruction. Unlike other books, it utilizes 125 enrichment units to provide the staples in preparing to teach mathematics. The authors provide step-by-step techniques on preparing lessons and tests, motivating students, designing assignments, and organizing the classroom. This valuable book also provides practical teaching methods for immediate use along with answers to typical questions readers have about teaching math. Chapter topics include the mathematics teacher today, long-range and short range planning, teaching more effective lessons, the role of problem solving in the mathematics classroom, using technology to enhance mathematics instruction, authentic assessment and grading strategies, enriching mathematics instruction, and extracurricular activities in mathematics. For mathematics teachers in secondary schools.