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Author: Robin Averill Publisher: ISBN: 9781877398452 Category : Mathematics Languages : en Pages :
Book Description
'We can never be sure that there is not some wild, untamed piece of mathematics ready to spring out on us ... This is what keeps mathematics enchanting.' This is how Jim Neyland, one of the contributing authors to this book, describes mathematics. His enthusiasm and energy are echoed throughout by many of the other writers. This is a book to delight mathematics teachers at all stages: experienced and inexperienced; specialists and nonspecialists. The authors bring research and practice together to inform, stimulate, and challenge the mathematical thinking of classroom teachers and to encourage them, and give them confidence, to extend their teaching practice. Topics covered in this second volume of Teaching Secondary School Mathematics and Statistics include: promoting thinking; culturally responsive teaching; students, teachers, and classroom talk; developing analytical thinking; developing statistical thinking; students' intuitions about probability; developing pedagogical technology knowledge; becoming a teacher; and more. The book is structured to give opportunities for thinking beyond the text through the inclusion of focus questions and points to ponder in each chapter. There are also many practical ideas which are ready for use in the classroom. It is a valuable resource for those working in preservice, a marvellous toolkit for new graduates, and it has a place in every mathematics department's bookshelf.
Author: Robin Averill Publisher: ISBN: 9781877398452 Category : Mathematics Languages : en Pages :
Book Description
'We can never be sure that there is not some wild, untamed piece of mathematics ready to spring out on us ... This is what keeps mathematics enchanting.' This is how Jim Neyland, one of the contributing authors to this book, describes mathematics. His enthusiasm and energy are echoed throughout by many of the other writers. This is a book to delight mathematics teachers at all stages: experienced and inexperienced; specialists and nonspecialists. The authors bring research and practice together to inform, stimulate, and challenge the mathematical thinking of classroom teachers and to encourage them, and give them confidence, to extend their teaching practice. Topics covered in this second volume of Teaching Secondary School Mathematics and Statistics include: promoting thinking; culturally responsive teaching; students, teachers, and classroom talk; developing analytical thinking; developing statistical thinking; students' intuitions about probability; developing pedagogical technology knowledge; becoming a teacher; and more. The book is structured to give opportunities for thinking beyond the text through the inclusion of focus questions and points to ponder in each chapter. There are also many practical ideas which are ready for use in the classroom. It is a valuable resource for those working in preservice, a marvellous toolkit for new graduates, and it has a place in every mathematics department's bookshelf.
Author: Carmen Batanero Publisher: Springer Science & Business Media ISBN: 9789400711310 Category : Education Languages : en Pages : 425
Book Description
Teaching Statistics in School Mathematics-Challenges for Teaching and Teacher Education results from the Joint ICMI/IASE Study Teaching Statistics in School Mathematics: Challenges for Teaching and Teacher Education. Oriented to analyse the teaching of statistics in school and to recommend improvements in the training of mathematics teachers to encourage success in preparing statistically literate students, the volume provides a picture of the current situation in both the teaching of school statistics and the pre-service education of mathematics teachers. A primary goal of Teaching Statistics in School Mathematics-Challenges for Teaching and Teacher Education is to describe the essential elements of statistics, teacher’s professional knowledge and their learning experiences. Moreover, a research agenda that invites new research, while building from current knowledge, is developed. Recommendations about strategies and materials, available to train prospective teachers in university and in-service teachers who have not been adequately prepared, are also accessible to the reader.
Author: Heather Ervin Publisher: ISBN: 9781516520695 Category : Mathematics Languages : en Pages : 242
Book Description
This two-volume anthology uses engaging examples from the world of sports to introduce students to critical concepts in mathematics and statistics. Volume I is organized into eleven sections, which use data from golf, long jump, soccer, hockey, NASCAR, and wrestling to help illustrate statistical reasoning and effective data analysis. Topics discussed include population and samples, graphical methods, measures of central tendency, and measures of variability. The text also covers relative standing, detecting outliers, basic probability, and normal distribution and rules, including Chebyshev's Rule and the Empirical Rule. Each lesson includes Common Core Standards, a comprehensive teaching guide, printable practice problems, and solutions. Lessons for Teaching Concepts in Mathematics and Statistics Using Sports, Volume 1 is well-suited for undergraduate courses in mathematics, statistics, and education. The book may be used independently or as a companion text. It can also be used for middle school and high school statistics courses. Heather Ervin earned her B.S. in mathematics from Bloomsburg University, her M.S. in statistics from Lehigh University, and her Ph.D. in mathematics education from Pennsylvania State University. She is an assistant professor of mathematics at Bloomsburg University. Her research interests include preservice elementary and middle school teachers' understanding and knowledge of fraction models, mathematics preparation of high school students for collegiate mathematics, and teaching statistics through sports. Reza Noubary earned his B.Sc. and M.Sc. degrees in mathematics from Tehran University, and his M.Sc. and Ph.D. in statistics from Manchester University. He is a professor of mathematics at Bloomsburg University. His research interests include time series analysis, geostatistics, reliability, risk analysis, and applications of mathematics in sports.
Author: Robert Q. Berry III Publisher: Corwin Press ISBN: 1071806467 Category : Education Languages : en Pages : 328
Book Description
Empower students to be the change—join the teaching mathematics for social justice movement! We live in an era in which students have —through various media and their lived experiences— a more visceral experience of social, economic, and environmental injustices. However, when people think of social justice, mathematics is rarely the first thing that comes to mind. Through model lessons developed by over 30 diverse contributors, this book brings seemingly abstract high school mathematics content to life by connecting it to the issues students see and want to change in the world. Along with expert guidance from the lead authors, the lessons in this book explain how to teach mathematics for self- and community-empowerment. It walks teachers step-by-step through the process of using mathematics—across all high school content domains—as a tool to explore, understand, and respond to issues of social injustice including: environmental injustice; wealth inequality; food insecurity; and gender, LGBTQ, and racial discrimination. This book features: Content cross-referenced by mathematical concept and social issues Downloadable instructional materials for student use User-friendly and logical interior design for daily use Guidance for designing and implementing social justice lessons driven by your own students’ unique passions and challenges Timelier than ever, teaching mathematics through the lens of social justice will connect content to students’ daily lives, fortify their mathematical understanding, and expose them to issues that will make them responsive citizens and leaders in the future.
Author: Gregory Hine Publisher: Cambridge University Press ISBN: 1108983405 Category : Education Languages : en Pages : 377
Book Description
Secondary mathematics teachers working in the Australian education sector are required to plan lessons that engage with students of different genders, cultures and levels of literacy and numeracy. Teaching Secondary Mathematics engages directly with the Australian Curriculum: Mathematics and the Australian Professional Standards for Teachers to help preservice teachers develop lesson plans that resonate with students. This edition has been thoroughly revised and features a new chapter on supporting Aboriginal and Torres Strait Islander students by incorporating Aboriginal and Torres Strait Islander cultures and ways of knowing into lessons. Chapter content is supported by new features including short-answer questions, opportunities for reflection and in-class activities. Further resources, additional activities, and audio and visual recordings of mathematical problems are also available for students on the book's companion website. Teaching Secondary Mathematics is the essential guide for preservice mathematics teachers who want to understand the complex and ever-changing Australian education landscape.
Author: Daniel J. Brahier Publisher: Routledge ISBN: 1317412354 Category : Education Languages : en Pages : 963
Book Description
Teaching Secondary and Middle School Mathematics combines the latest developments in research, standards, and technology with a vibrant writing style to help teachers prepare for the excitement and challenges of teaching secondary and middle school mathematics today. In the fully revised fifth edition, scholar and mathematics educator Daniel Brahier invites teachers to investigate the nature of the mathematics curriculum and reflect on research-based "best practices" as they define and sharpen their own personal teaching styles. The fifth edition has been updated and expanded with a particular emphasis on the continued impact of the Common Core State Standards for Mathematics and NCTM’s just-released Principles to Actions, as well as increased attention to teaching with technology, classroom management, and differentiated instruction. Features include: A full new Chapter 7 on selection and use of specific tools and technology combined with "Spotlight on Technology" features throughout clearly illustrate the practical aspects of how technology can be used for teaching or professional development. Foundational Chapters 1 and 2 on the practices and principles of mathematics education have been revised to build directly on Common Core State Standards for Mathematics and Principles to Actions, with additional references to both documents throughout all chapters. A new Chapter 4 focuses on the use of standards in writing objectives and organizing lesson plan resources while an updated Chapter 5 details each step of the lesson planning process. A fully revised Chapter 12 provides new information on teaching diverse populations and outlines specific details and suggestions for classroom management for mathematics teachers. Classroom Dialogues" features draws on the author’s 35-year experience as an educator to present real-world teacher-student conversations about specific mathematical problems or ideas "How Would You React?" features prepares future teachers for real-life scenarios by engaging them in common classroom situations and offering tried-and-true solutions. With more than 60 practical, classroom-tested teaching ideas, sample lesson and activities, Teaching Secondary and Middle School Mathematics combines the best of theory and practice to provide clear descriptions of what it takes to be an effective teacher of mathematics.
Author: Alan Sultan Publisher: Routledge ISBN: 1315391899 Category : Education Languages : en Pages : 760
Book Description
Designed to help pre-service and in-service teachers gain the knowledge they need to facilitate students' understanding, competency, and interest in mathematics, the revised and updated Second Edition of this popular text and resource bridges the gap between the mathematics learned in college and the mathematics taught in secondary schools. Highlighting multiple types of mathematical understanding to deepen insight into the secondary school mathematics curriculum, it addresses typical areas of difficulty and common student misconceptions so teachers can involve their students in learning mathematics in a way that is interesting, interconnected, understandable, and often surprising and entertaining. Six content strands are discussed—Numbers and Operations; Algebra; Geometry; Measurement; Data Analysis and Probability; and Proof, Functions, and Mathematical Modeling. The informal, clear style supports an interactive learner-centered approach through engaging pedagogical features: Launch Questions at the beginning of each section capture interest and involve readers in learning the mathematical concepts. Practice Problems provide opportunities to apply what has been learned and complete proofs. Questions from the Classroom bring the content to life by addressing the deep "why" conceptual questions that middle or secondary school students are curious about, and questions that require analysis and correction of typical student errors and misconceptions; focus on counter intuitive results; and contain activities and/or tasks suitable for use with students. Changes in the Second Edition New sections on Robotics, Calculators, Matrix Operations, Cryptography, and the Coefficient of Determination New problems, simpler proofs, and more illustrative examples Answers and hints for selected problems provided
Author: Tony Gardiner Publisher: Open Book Publishers ISBN: 1783741406 Category : Mathematics Languages : en Pages : 334
Book Description
Teaching Mathematics is nothing less than a mathematical manifesto. Arising in response to a limited National Curriculum, and engaged with secondary schooling for those aged 11 ̶ 14 (Key Stage 3) in particular, this handbook for teachers will help them broaden and enrich their students’ mathematical education. It avoids specifying how to teach, and focuses instead on the central principles and concepts that need to be borne in mind by all teachers and textbook authors—but which are little appreciated in the UK at present.This study is aimed at anyone who would like to think more deeply about the discipline of ‘elementary mathematics’, in England and Wales and anywhere else. By analysing and supplementing the current curriculum, Teaching Mathematics provides food for thought for all those involved in school mathematics, whether as aspiring teachers or as experienced professionals. It challenges us all to reflect upon what it is that makes secondary school mathematics educationally, culturally, and socially important.
Author: Robin Averill Publisher: Nzcer Press ISBN: 9781877398643 Category : Effective teaching Languages : en Pages : 331
Book Description
Here is the only reference book you will ever need for teaching primary school mathematics and statistics. It is full of exciting and engaging snapshots of excellent classroom practice relevant to The New Zealand Curriculum and national mathematics standards. There are many fascinating examples of investigative learning experiences, and key research- and practice-based ideas about teaching learning and assessment. The writers are among New Zealand's leading researchers and teacher educators. It is a valuable resource for those working in initial teacher education, a marvellous tool for new graduates, has a place in every primary school and will quickly become dog-eared!
Author: Edward C. Nolan Publisher: Solution Tree Press ISBN: 1942496494 Category : Education Languages : en Pages : 273
Book Description
Develop a deep understanding of mathematics by grasping the context and purpose behind various strategies. This user-friendly resource presents high school teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Combine student understanding of functions and algebraic concepts so that they can better decipher the world. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, or modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Gain clarity about the most productive progression of mathematical teaching and learning for high school. Watch short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction Equations and Functions Structure of Equations Geometry Types of Functions Function Modeling Statistics and Probability Epilogue: Next Steps Appendix: Weight Loss Study Data References Index
Author: Robin Averill
Author: Robin Averill
Author: Carmen Batanero
Author: Heather Ervin
Author: Robert Q. Berry III
Author: Gregory Hine
Author: Daniel J. Brahier
Author: Alan Sultan
Author: Tony Gardiner
Author: Robin Averill
Author: Edward C. Nolan