Teaching Secondary School Mathematics and Statistics

2009

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Author: Robin Averill
Publisher:
ISBN: 9781877398438
Category : Mathematics
Languages : en
Pages :

""Mathematics is more than skills ... it is also the excitement of discovery."" This is how Derek Holton, one of the contributing authors to this book, defines 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 first volume of Teaching Secondary School Mathematics and Statistics include: problem solving; investigative mathematics; how students learn maths; pedagogical content knowledge; students' misconceptions and strategies for solving algebraic equations; algebra word problems; digital technologies and learning; the language of mathematics and gifted and talented students. 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 has a place in every mathematics department's bookshelf.

Teaching Secondary School Mathematics and Statistics

2009

PDF Teaching Secondary School Mathematics and Statistics Download

Author: Robin Averill
Publisher:
ISBN: 9781877398452
Category : Mathematics
Languages : en
Pages :

'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.

Teaching Statistics in School Mathematics-Challenges for Teaching and Teacher Education

2011-07-31

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Author: Carmen Batanero
Publisher: Springer Science & Business Media
ISBN: 9789400711310
Category : Education
Languages : en
Pages : 425

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.

Lessons for Teaching Concepts in Mathematics and Statistics Using Sports

2017-12-31

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Author: Heather Ervin
Publisher:
ISBN: 9781516520695
Category : Mathematics
Languages : en
Pages : 242

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.

Teaching Secondary Mathematics

2021-09-24

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Author: Gregory Hine
Publisher: Cambridge University Press
ISBN: 1108983405
Category : Education
Languages : en
Pages : 377

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.

Developing Essential Understanding of Statistics for Teaching Mathematics in Grades 6-8

2013

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Author: Gary Kader
Publisher: National
ISBN: 9780873536721
Category : Mathematical statistics
Languages : en
Pages : 112

How does working with data in statistics differ from working with numbers in mathematics? What is variability, and how can we describe and measure it? How can we display distributions of quantitative or categorical data? What is a data sample, and how can we choose one that will allow us to draw valid conclusions from data? How much do you know? and how much do you need to know? Helping your students develop a robust understanding of statistics requires that you understand fundamental statistical concepts deeply. But what does that mean? This book focuses on essential knowledge for mathematics teachers about statistics. It is organised around four big ideas, supported by multiple smaller, interconnected ideas. Taking you beyond a simple introduction to statistics, the book will broaden and deepen your understanding of one of the most challenging topics for students and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls, and dispel misconceptions. You will also learn to develop appropriate tasks, techniques, and tools for assessing students’ understanding of the topic. Focus on the ideas that you need to understand thoroughly to teach confidently.

The Mathematics That Every Secondary School Math Teacher Needs to Know

2017-07-20

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Author: Alan Sultan
Publisher: Routledge
ISBN: 1315391899
Category : Education
Languages : en
Pages : 760

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

Teaching Secondary and Middle School Mathematics

2016-02-12

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Author: Daniel J. Brahier
Publisher: Routledge
ISBN: 1317412354
Category : Education
Languages : en
Pages : 963

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.

Teaching Mathematics at Secondary Level

2016-02-08

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Author: Tony Gardiner
Publisher: Open Book Publishers
ISBN: 1783741406
Category : Mathematics
Languages : en
Pages : 334

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.

High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice

2020-03-09

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Author: Robert Q. Berry III
Publisher: Corwin Press
ISBN: 1071806467
Category : Education
Languages : en
Pages : 328

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.