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Author: Robin Averill Publisher: ISBN: 9781877398438 Category : Mathematics Languages : en Pages :
Book Description
""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.
Author: Robin Averill Publisher: ISBN: 9781877398438 Category : Mathematics Languages : en Pages :
Book Description
""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.
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: 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: Dani Ben-Zvi Publisher: Springer ISBN: 3319234706 Category : Education Languages : en Pages : 334
Book Description
This book presents the breadth and diversity of empirical and practical work done on statistics education around the world. A wide range of methods are used to respond to the research questions that form it's base. Case studies of single students or teachers aimed at understanding reasoning processes, large-scale experimental studies attempting to generalize trends in the teaching and learning of statistics are both employed. Various epistemological stances are described and utilized. The teaching and learning of statistics is presented in multiple contexts in the book. These include designed settings for young children, students in formal schooling, tertiary level students, vocational schools, and teacher professional development. A diversity is evident also in the choices of what to teach (curriculum), when to teach (learning trajectory), how to teach (pedagogy), how to demonstrate evidence of learning (assessment) and what challenges teachers and students face when they solve statistical problems (reasoning and thinking).
Author: Darren Macey Publisher: Cambridge University Press ISBN: 9781108406307 Category : Juvenile Nonfiction Languages : en Pages : 202
Book Description
Statistics has developed in parallel with the advances of technological and social change. Informed by the work of the Cambridge Mathematics team, this book outlines a new pedagogical approach to teaching statistics. It frames the interconnectedness of the subject around the experiences that students should have, rather than the specific techniques required. The book provides numerous examples and suggestions that teachers can incorporate in the classroom to help improve the way students understand statistics.
Author: Gary Kader Publisher: National ISBN: 9780873536721 Category : Mathematical statistics Languages : en Pages : 112
Book Description
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.
Author: Carmen Batanero Publisher: Springer ISBN: 9789400711327 Category : Languages : en Pages : 444
Book Description
The book offers examples of how statistics is conceived in the mathematics school curriculum and how school teachers are trained to teach statistics around the world, as well as discussion of fundamentals in the teaching of statistics. The book also includes a state-of-the-art summary of the research on Teachers beliefs, attitudes and knowledge in relation to statistics education and analyses the implications and activities for training school teachers to teach statistics.
Author: Carmen Batanero Publisher: Springer ISBN: 9789400737167 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: Carmen Batanero Publisher: Springer ISBN: 9463006249 Category : Education Languages : en Pages : 224
Book Description
Statistics and probability are fascinating fields, tightly interwoven with the context of the problems which have to be modelled. The authors demonstrate how investigations and experiments provide promising teaching strategies to help high-school students acquire statistical and probabilistic literacy. In the first chapter the authors put into practice the following educational principles, reflecting their views of how these subjects should be taught: a focus on the most relevant ideas and postpone extensions to later stages; illustrating the complementary/dual nature of statistical and probabilistic reasoning; utilising the potential of technology and show its limits; and reflecting on the different levels of formalisation to meet the wide variety of students’ previous knowledge, abilities, and learning types. The remaining chapters deal with exploratory data analysis, modelling information by probabilities, exploring and modelling association, and with sampling and inference. Throughout the book, a modelling view of the concepts guides the presentation. In each chapter, the development of a cluster of fundamental ideas is centred around a statistical study or a real-world problem that leads to statistical questions requiring data in order to be answered. The concepts developed are designed to lead to meaningful solutions rather than remain abstract entities. For each cluster of ideas, the authors review the relevant research on misconceptions and synthesise the results of research in order to support teaching of statistics and probability in high school. What makes this book unique is its rich source of worked-through tasks and its focus on the interrelations between teaching and empirical research on understanding statistics and probability.
Author: Christine A. Franklin Publisher: ISBN: Category : Statistics Languages : en Pages : 118
Book Description
Statistics education as proposed in this framework can promote the must-have competencies for graduates to thrive in the modern world.
Author: Robin Averill
Author: Robin Averill
Author: Carmen Batanero
Author: Robin Averill
Author: Dani Ben-Zvi
Author: Darren Macey
Author: Gary Kader
Author: Carmen Batanero
Author: Carmen Batanero
Author: Carmen Batanero
Author: Christine A. Franklin