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Books > Social sciences > Education > Teaching of a specific subject

Period. (Hardcover): Jeanne Clare Criscola Period. (Hardcover)
Jeanne Clare Criscola
R897 Discovery Miles 8 970 Ships in 18 - 22 working days
Shaping Concepts of Technology - From Philosophical Perspective to Mental Images (Hardcover, Reprinted from INTERNATIONAL... Shaping Concepts of Technology - From Philosophical Perspective to Mental Images (Hardcover, Reprinted from INTERNATIONAL JOURNAL OF TECHNOLOGY AND DESIGN EDUCATION, 7:1-2, 1997)
Marc J. de Vries, Arley Tamir
R2,759 Discovery Miles 27 590 Ships in 18 - 22 working days

As our modem society is so obviously influenced by technology, there is a growing awareness of its importance for education. The interest for including technology as a part of general education curricula is increasing. In many countries technology is an element in the curriculum either as a topic, a project, part of a Science-Technology-Society (STS) programme, part of science education, or as a separate subject. In order to clarify what technology is, there is a need for international discussions in which philosophers, engineers, scientists and educational ists are involved. One of the few conferences with such a broad representation was the second Jerusalem International Science and Technology Education Conference (JISTEC) that was held in Jerusalem, January 8-11, 1996, a conference that can truly be seen as a milestone in the international history of technology education. More than 1,000 technology educators from more than 80 countries of the world and ministers of education from 28 coun tries came together to discuss current issues in technology education during JlSTEC. To cite from Dr. Michael Dyrenfurth's personal overview of the conference in the Journal of Industrial Teacher Education (vol. 33, no. 2, Winter 1996, pp. 83-85): 'Simply put, this conference represented the most stellar international collection of technology education advocates the world has ever seen in one place'. Or in the words of Dr."

Literacy in Action: Football - 24 Flexible Lessons for Ages 9-11 (Hardcover): Aulay MacKenzie Literacy in Action: Football - 24 Flexible Lessons for Ages 9-11 (Hardcover)
Aulay MacKenzie
R3,784 Discovery Miles 37 840 Ships in 10 - 15 working days

Get ready for kick off and prepare to meet all of your literacy goals with Literacy in Action: Football.

All year 5 and particularly year 6 teachers know about the pressure to help children deliver levels of achievement laid down by higher authorities than themselves. Many of the reluctant writers are passionate about football. Literacy in Action: Football could be the answer to their and your prayers, offering expert, tried and trusted techniques for teaching literacy, developed within the context of the 'Beautiful Game'. For those not bitten by the football bug there are alternative options. Literacy in Action: Football is a fun and inspiring addition to your literacy teaching.

This unique classroom resource contains twenty-four lesson plans, each structured like a football match. For an hour, transform your classroom into Wembley Stadium Each detailed lesson plan includes:

  • short, kinaesthetic, focussed tasks with instant feedback and praise
  • speaking and listening exercises ? children engage in talking and collaborative work before completing a writing task
  • key points from research in to boys? writing in special notes for teachers
  • alternative tasks available for those not interested in football
  • differentiated material for a wide ability range.

Literacy in Action: Football is written by Heather Butler, a writer, literacy consultant and story writing workshop leader. Literacy in Action: Football has been tested extensively by year 5 and year 6 teachers in leafy-green, inner city, multi-cultural and rural settings with amazing results. Why not try it for yourself?

Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers (Hardcover, 1st ed. 2018): Nicholas H.... Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers (Hardcover, 1st ed. 2018)
Nicholas H. Wasserman
R4,661 Discovery Miles 46 610 Ships in 10 - 15 working days

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.

Composition - A Series of Exercises in Art Structure for the Use of Students and Teachers (Hardcover): Arthur Wesley Dow Composition - A Series of Exercises in Art Structure for the Use of Students and Teachers (Hardcover)
Arthur Wesley Dow
R554 Discovery Miles 5 540 Ships in 18 - 22 working days

Arthur Wesley Dow taught at major American arts training institutions for 30 years including Teachers College, Columbia University; the Art Students League of New York; Pratt Institute; and his own Ipswich Summer School of Art. His ideas were quite revolutionary for the period, he taught that rather than copying nature, art should be created by elements of the composition, like line, mass and color. He taught many of America's leading artists and craftspeople, including Georgia O'Keeffe, Charles J. Martin, two of the Overbeck Sisters and the Byrdcliffe Colony.

Geoscience Education - Indoor and Outdoor (Hardcover, 1st ed. 2017): Clara Vasconcelos Geoscience Education - Indoor and Outdoor (Hardcover, 1st ed. 2017)
Clara Vasconcelos
R2,669 Discovery Miles 26 690 Ships in 18 - 22 working days

This book presents research in Geoscience Education focusing on indoor and outdoor environments in which teaching geoscience gains particular relevance, significance and contextualization. The research areas that are presented throughout the thirteen chapters cover a wide variety of subjects ranging from educational resources and fieldwork to science models. Chapters discuss specific geoscience topics such as earthquakes, rocks, fossils and minerals. Other chapters present a more interdisciplinary approach addressing topics that aren't usually examined, such as geomedicine and geoethics, with a specific focus on sustainable development and their alignment with the school curricula. Throughout the book readers can find research-based arguments illustrated with practical examples, which will help them to innovate in their curriculum development area, classroom practices and pre and in-service teachers' education. The book challenges readers to improve Geoscience Education by changing the ways of teaching, by enabling students to exploit their natural curiosity, and by spurring a learning process that should not be confined to the classroom but rather maintained throughout life.

Shakespeare in the Changing Curriculum (Hardcover): Lesley Aers, Nigel Wheale Shakespeare in the Changing Curriculum (Hardcover)
Lesley Aers, Nigel Wheale
R3,154 Discovery Miles 31 540 Ships in 9 - 17 working days

First published in 1991, Shakespeare in the Changing Curriculum provides a context for debates about the place of Shakespeare within the English curriculum in the 1990s, and examines the possibilities in teaching Shakespeare afforded by the application of contemporary critical approaches, such as communication, cultural and gender studies, in the classroom and seminar room. The collection will be of particular to interest to sixth-form students, secondary school teachers, teacher trainers and students and lecturers in further and higher education.

Cultural Studies and Environmentalism - The Confluence of EcoJustice, Place-based (Science) Education, and Indigenous Knowledge... Cultural Studies and Environmentalism - The Confluence of EcoJustice, Place-based (Science) Education, and Indigenous Knowledge Systems (Hardcover, 2010 ed.)
Deborah J. Tippins, Michael P. Mueller, Michiel van Eijck, Jennifer D. Adams
R5,423 Discovery Miles 54 230 Ships in 18 - 22 working days

As the first book to explore the confluence of three emerging yet critical fields of study, this work sets an exacting standard. The editors' aim was to produce the most authoritative guide for ecojustice, place-based education, and indigenous knowledge in education. Aimed at a wide audience that includes, but is not restricted to, science educators and policymakers, Cultural Studies and Environmentalism starts from the premise that schooling is a small part of the larger educational domain in which we live and learn. Informed by this overarching notion, the book opens up ways in which home-grown talents, narratives, and knowledge can be developed, and eco-region awareness and global relationships can be facilitated. Incorporating a diversity of perspectives that include photography, poetry and visual art, the work provides a nuanced lens for evaluating educational problems and community conditions while protecting and conserving the most threatened and vulnerable narratives. Editors and contributors share the view that the impending loss of these narratives should be discussed much more widely than is currently the case, and that both teachers and children can take on some of the responsibility for their preservation. The relevance of ecojustice to this process is clear. Ecojustice philosophy is a way of learning about how we frame, or perceive, the world around us-and why that matters. Although it is not synonymous with social or environmental justice, the priorities of ecojustice span the globe in the same way. It incorporates a deep recognition of the appropriateness and significance of learning from place-based experiences and indigenous knowledge systems rather than depending on some urgent "ecological crises" to advocate for school and societal change. With a multiplicity of diverse voices coming together to explore its key themes, this book is an important starting point for educators in many arenas. It brings into better focus a vital role for the Earth's ecosystems in the context of ecosociocultural theory and participatory democracy alike. "Encompassing theoretical, empirical, and experiential standpoints concerning place-based knowledge systems, this unique book argues for a transformation of (science) education's intellectual tradition of thinking that emphasizes individual cognition. In its place, the book offers a wisdom tradition of thinking, living, and being that emphasizes community survival in harmony within itself and with Mother Earth." Glen Aikenhead

A Place for Wonder - Reading and Writing Nonfiction in the Primary Grades (Paperback, New): Georgia Heard, Jennifer McDonough A Place for Wonder - Reading and Writing Nonfiction in the Primary Grades (Paperback, New)
Georgia Heard, Jennifer McDonough
R844 Discovery Miles 8 440 Ships in 10 - 15 working days

In A Place for Wonder, Georgia Heard and Jennifer McDonough discuss how to create "a landscape of wonder," a primary classroom where curiosity, creativity, and exploration are encouraged. For it is these characteristics, the authors write, that develop intelligent, inquiring, life-long learners. The authors' research shows that many primary grade state standards encourage teaching for understanding, critical thinking, creativity, and question asking, and promote the development of children who have the attributes of inventiveness, curiosity, engagement, imagination, and creativity. With these goals in mind, Georgia and Jennifer provide teachers with numerous, practical ways-setting up "wonder centers," gathering data though senses, teaching nonfiction craft-they can create a classroom environment where students' questions and observations are part of daily work. They also present a step-by-step guide to planning a nonfiction reading and writing unit of study-creating a nonfiction book, which includes creating a table of contents, writing focused chapters, using "wow" words, and developing point of view. A Place for Wonder will help teachers reclaim their classrooms as a place where true learning is the norm.

180 Days of Science for Sixth Grade - Practice, Assess, Diagnose (Paperback, Teacher's edition): Bebra Bayne, Lauren... 180 Days of Science for Sixth Grade - Practice, Assess, Diagnose (Paperback, Teacher's edition)
Bebra Bayne, Lauren Homayoun
R561 R526 Discovery Miles 5 260 Save R35 (6%) Ships in 18 - 22 working days

180 Days of Science is a fun and effective daily practice workbook designed to help students explore the three strands of science: life, physical, and earth and space. This easy-to-use sixth grade workbook is great for at-home learning or in the classroom. The engaging standards-based activities cover grade-level skills with easy to follow instructions and an answer key to quickly assess student understanding. Students will explore a new topic each week building content knowledge, analyzing data, developing questions, planning solutions, and communicating results. Watch as students are motivated to learn scientific practices with these quick independent learning activities.Parents appreciate the teacher-approved activity books that keep their child engaged and learning. Great for homeschooling, to reinforce learning at school, or prevent learning loss over summer.Teachers rely on the daily practice workbooks to save them valuable time. The ready to implement activities are perfect for daily morning review or homework. The activities can also be used for intervention skill building to address learning gaps. Aligns to Next Generation Science Standards (NGSS).

The Routledge International Handbook of English, Language and Literacy Teaching (Hardcover): Dominic Wyse, Richard Andrews,... The Routledge International Handbook of English, Language and Literacy Teaching (Hardcover)
Dominic Wyse, Richard Andrews, James Hoffman
R6,658 Discovery Miles 66 580 Ships in 10 - 15 working days

Edited by three authorities in the field, this Handbook presents contributions from experts across the world who report the cutting-edge of international research. It is ground-breaking in its holistic, evidence-informed account that aims to synthesize key messages for policy and practice in English, language and literacy teaching.

A comprehensive collection, the Handbook focuses on the three key areas of reading, writing, and language, and issues that cut across them. The international emphasis of all the chapters is extended by a final section that looks directly at different countries and continents.

The authors address many key issues including:

  • why pupil motivation is so important
  • the evidence for what works in teaching and learning
  • the place of Information Technology in the twenty-first century
  • the status of English and other languages
  • globalisation and political control of education.

This definitive guide concludes by discussing the need for better policy cycles that genuinely build on research evidence and teachers? working knowledge in order to engage young people and transform their life chances.

A powerful account that will be of interest to students, researchers and academics involved with education.

The Cambridge Primary Review Research Surveys (Hardcover): Robin Alexander, Christine Doddington, John Gray, Linda Hargreaves,... The Cambridge Primary Review Research Surveys (Hardcover)
Robin Alexander, Christine Doddington, John Gray, Linda Hargreaves, Ruth Kershner
R12,205 Discovery Miles 122 050 Ships in 10 - 15 working days

The Cambridge Primary Review Research Surveys is the outcome of the Cambridge Primary Review England 's biggest enquiry into primary education for over forty years. Fully independent of government, it was launched in 2006 to investigate the condition and future of primary education at a time of change and uncertainty and after two decades of almost uninterrupted reform. Ranging over ten broad themes and drawing on a vast array of evidence, the Review published thiry-one interim reports, including twenty-eight surveys of published research, provoking media headlines and public debate, before presenting its final report and recommendations.

This book brings together the twenty-eight research surveys, specially commissioned from sixty-five leading academics in the areas under scrutiny and now revised and updated, to create what is probably the most comprehensive overview and evaluation of research in primary education yet published. A particular feature is the prominence given to international and comparative perspectives. With an introduction from Robin Alexander, the Review 's director, the book is divided into eight sections, covering:

  • children 's lives and voices: school, home and community
  • children 's development, learning, diversity and needits
  • aims, values and contexts for primary education
  • the structure and content of primary education
  • outcomes, standards and assessment in primary education
  • teaching in primary schools: structures and processes
  • teaching in primary schools: training, development and workforce reform
  • policy frameworks: governance, funding, reform and quality assurance.

The Cambridge Primary Review Research Surveys is an essential reference tool for professionals, researchers, students and policy-makers working in the fields of early years, primary and secondary education.

Teaching Writing Genres Across the Curriculum - Strategies for Middle School Teachers (Hardcover, New): Susan Lee Pasquarelli Teaching Writing Genres Across the Curriculum - Strategies for Middle School Teachers (Hardcover, New)
Susan Lee Pasquarelli
R2,555 Discovery Miles 25 550 Ships in 18 - 22 working days

This volume showcases the efforts of real teachers using the teaching events from real middle school classrooms. Included is the work of eight hard-working middle school teachers who are convinced that the form and function of genre is a way to teach writing across the middle school curriculum. Each chapter contains sample lessons, protocols, classroom instructional materials, and assessment tools to provide middle school teachers with an approach to explore rigorous expository writing instruction in their own classrooms.

Handbook of Practical Second Language Teaching and Learning (Paperback): Eli Hinkel Handbook of Practical Second Language Teaching and Learning (Paperback)
Eli Hinkel
R3,889 Discovery Miles 38 890 Ships in 9 - 17 working days

* This volume is a standalone volume rather than companion or revision to existing Handbooks on second language teaching and learning * All contributors are leading authorities in their areas of expertise, and the volume editor is a star in the field * Covers all major, established, and emerging topics in TESOL * Serves as a student- and teacher-oriented compendium of current topic areas geared to in-service and preservice teachers, experienced and novice instructors, advanced and not-so-advanced graduate students, and faculty

Hands-On Geometry - Constructions With a Straightedge and Compass (Grades 4-6) (Paperback, 1): Christopher M Freeman Hands-On Geometry - Constructions With a Straightedge and Compass (Grades 4-6) (Paperback, 1)
Christopher M Freeman
R605 Discovery Miles 6 050 Ships in 10 - 15 working days

Put compasses into your students' hands and behold the results! Hands-On Geometry teaches students to draw accurate constructions of equilateral triangles, squares, and regular hexagons, octagons, and dodecagons; to construct kites and use their diagonals to construct altitudes, angle bisectors, perpendicular bisectors, and the inscribed and circumscribed circles of any triangle; to construct perpendicular lines and rectangles, parallel lines, and parallelograms; and to construct a regular pentagon and a golden rectangle. Students will enjoy fulfilling high standards of precision with these hands-on activities. Hands-On Geometry provides the background students need to become exceptionally well prepared for a formal geometry class. The book provides an easy way to differentiate instruction: Because the lessons are self-explanatory, students can proceed at their own pace, and the finished constructions can be assessed at a glance. Grades 4-6

How to Give a Hand Job That Will Blow His Mind (With Illustrations) (Hardcover): Sam Jones How to Give a Hand Job That Will Blow His Mind (With Illustrations) (Hardcover)
Sam Jones
R410 Discovery Miles 4 100 Ships in 18 - 22 working days
Children Reading Pictures - New Contexts and Approaches to Picturebooks (Paperback, 3rd edition): Evelyn Arizpe, Kate Noble,... Children Reading Pictures - New Contexts and Approaches to Picturebooks (Paperback, 3rd edition)
Evelyn Arizpe, Kate Noble, Morag Styles
R1,104 Discovery Miles 11 040 Ships in 9 - 17 working days

This book is considered to be one of the pioneering studies in this area. Theoretical research on picture books and empirical research on children reading picture books greatly increased, in many cases as a result of the influence of the previous editions of this book, and continues to be a growing field Includes case studies, new and old, draws readers' attention to all the significant theoretical work in the field, provides structured advice for teachers and for those who wish to carry out their own research of this kind. Considers competing technologies and looks ahead to future developments of the picturebook on the internet, in the classroom, in the museum/gallery and in publishing. Includes a new focus on art museum education Whilst many books about picturebooks, few others explore children's response to picture books

Readings in Primary Art Education (Paperback): Steve Herne, Sue Cox, Robert Watts Readings in Primary Art Education (Paperback)
Steve Herne, Sue Cox, Robert Watts
R880 Discovery Miles 8 800 Ships in 10 - 15 working days

With approximately 16,000 students beginning primary teacher education in the UK each year, and each of those being expected to teach art and design, this pioneering volume provides a renewed emphasis on ideas, issues and research in art and design education in the primary and early years phases. It gathers together work from internationally recognised authors, providing a critical framework to underpin current and developing practice in primary art and design education in the UK and worldwide.Through in-depth exploration of debates that have taken place worldwide amongst art educators, it provides a critical framework to underpin current and developing practice. Herne's edited collection is a welcome addition to art and design education and will be of interest to all those involved in primary art and design education, whether teachers, trainees, post-graduate students or academics.

Reasoning in Physics - The Part of Common Sense (Hardcover, 2001 ed.): L. Viennot Reasoning in Physics - The Part of Common Sense (Hardcover, 2001 ed.)
L. Viennot
R2,786 Discovery Miles 27 860 Ships in 18 - 22 working days

For a meaningful understanding of physics, it is necessary to realise that this corpus of knowledge operates in a register different from natural thought. This book aims at situating the main trends of common reasoning in physics with respect to some essential aspects of accepted theory. It analyses a great many research results based on studies of pupils and students at various academic levels, involving a range of physical situations. It shows the impressive generality of the trends of common thought, as well as their resistance to teaching. The book's main focus is to underline to what extent natural thought is organised. As a result of this mapping out of trends of reasoning, some suggestions for teaching are presented; these have already influenced recent curricula in France. This book is intended for teachers and teacher trainers principally, but students can also benefit from it to improve their understanding of physics and of their own ways of reasoning.

Creative English, Creative Curriculum - New Perspectives for Key Stage 2 (Paperback): Paul Gardner Creative English, Creative Curriculum - New Perspectives for Key Stage 2 (Paperback)
Paul Gardner
R1,039 Discovery Miles 10 390 Ships in 10 - 15 working days

Combining theory with practical examples, Creative English, Creative Curriculum will stimulate students and teachers to be adventurous and creative in their teaching, while covering the mains strands of the Primary National Strategy for English: narrative, non-fiction and poetry. This book: reflects the new emphases on speaking and listening contextualises recent changes to the English curriculum, reviewing models of best practice provides practical examples and research evidence of creative approaches to the teaching of English considers the cross-curricular aspects in creating a thematic approach to teaching and learning. This book will appeal to both students and practising teachers in the primary school who either wish to implement creative approaches to their English teaching, or are undertaking extended study for a Masters Degree.

Edexcel GCSE Business: Building a Business - Unit 3 (Paperback): Alain Anderton, Andrew Malcolm, Andrew Ashwin Edexcel GCSE Business: Building a Business - Unit 3 (Paperback)
Alain Anderton, Andrew Malcolm, Andrew Ashwin
R1,125 Discovery Miles 11 250 Ships in 10 - 15 working days

Edexcel's own dedicated suite of resources have been created to support you and your students with the new GCSE Business specifications. Written by a team of Edexcel experts and subject specialists, these brand new materials provide you with everything you need to deliver the Edexcel GCSE Business specifications with confidence. Edexcel's new GCSE resources offer complete flexibility for you and your students with the core Student Book for the compulsory units and three Student Books for the optional units - so you have available materials for the different Business pathways. Complete Teacher and Student Support Deliver engaging lessons with the Student Books and ActiveTeach CD-ROM, providing you with tools to motivate and interest your students. Plan lessons with ease using Edexcel's exceptional support materials - the ActiveTeach CD-ROM includes schemes of work, lesson plans plus a host of teaching resources linked to the e-spec, the electronic version on the specification, all in one easy-to-use package. Raise attainment in your school with Edexcel's new and exclusive ResultsPlus and examzone features, fully integrated throughout the Student Books and ActiveTeach.

Art-Care Practices for Restoring the Communal - Education, Co-Inquiry, and Healing (Paperback): Barbara A. Bickel, R. Michael... Art-Care Practices for Restoring the Communal - Education, Co-Inquiry, and Healing (Paperback)
Barbara A. Bickel, R. Michael Fisher
R1,170 Discovery Miles 11 700 Ships in 9 - 17 working days

Draws from feminist Earth-based and Indigenous worldviews supported by healing and transformational, and arts and place-based methods. Authors have been honing these methods for more than 30 years. Offers practices that can be adapted for numerous community-based settings.

Biodiversity and Education for Sustainable Development (Hardcover, 1st ed. 2016): Paula Castro, Ulisses M Azeiteiro, Paula... Biodiversity and Education for Sustainable Development (Hardcover, 1st ed. 2016)
Paula Castro, Ulisses M Azeiteiro, Paula Bacelar-Nicolau, Walter Leal Filho, Anabela Marisa Azul
R4,748 Discovery Miles 47 480 Ships in 10 - 15 working days

This book gathers interdisciplinary reflections from researchers, educators, and other experts on the subject of biodiversity closer to education and learning. The book also highlights its role as an added value to strategic principles for healthy ecosystems and sustainable human development. It promotes critical thinking and foster practices and attitudes for Education for Sustainable Development reconciling education with principles of human behaviour and nature. Readers especially find this book a timely resource in light of the Strategic Plan for Biodiversity 2011-2020, the Aichi Targets, and the new EU biodiversity strategy "Our life insurance, our natural capital: an EU biodiversity strategy to 2020". Along with the challenge of ecosystems and public health, biodiversity conservation is essential for humanity's continued security and sustainability, as it touches on all aspects of people's lives.

Approaches to Algebra - Perspectives for Research and Teaching (Hardcover, 1996 ed.): N. Bednarz, C. Kieran, L. Lee Approaches to Algebra - Perspectives for Research and Teaching (Hardcover, 1996 ed.)
N. Bednarz, C. Kieran, L. Lee
R7,808 Discovery Miles 78 080 Ships in 18 - 22 working days

In Greek geometry, there is an arithmetic of magnitudes in which, in terms of numbers, only integers are involved. This theory of measure is limited to exact measure. Operations on magnitudes cannot be actually numerically calculated, except if those magnitudes are exactly measured by a certain unit. The theory of proportions does not have access to such operations. It cannot be seen as an "arithmetic" of ratios. Even if Euclidean geometry is done in a highly theoretical context, its axioms are essentially semantic. This is contrary to Mahoney's second characteristic. This cannot be said of the theory of proportions, which is less semantic. Only synthetic proofs are considered rigorous in Greek geometry. Arithmetic reasoning is also synthetic, going from the known to the unknown. Finally, analysis is an approach to geometrical problems that has some algebraic characteristics and involves a method for solving problems that is different from the arithmetical approach. 3. GEOMETRIC PROOFS OF ALGEBRAIC RULES Until the second half of the 19th century, Euclid's Elements was considered a model of a mathematical theory. This may be one reason why geometry was used by algebraists as a tool to demonstrate the accuracy of rules otherwise given as numerical algorithms. It may also be that geometry was one way to represent general reasoning without involving specific magnitudes. To go a bit deeper into this, here are three geometric proofs of algebraic rules, the frrst by Al-Khwarizmi, the other two by Cardano.

Metacognitive Approaches to Developing Oracy - Developing Speaking and Listening with Young Children (Paperback): Roy Evans,... Metacognitive Approaches to Developing Oracy - Developing Speaking and Listening with Young Children (Paperback)
Roy Evans, Deborah Jones
R1,359 Discovery Miles 13 590 Ships in 10 - 15 working days

The acquisition of speech and language represent significant achievements for all children. These aspects of child development have received substantial attention in the research literature and a considerable body of theoretical knowledge exists to chart progress from infancy to maturity. Cross-cultural studies have identified the common purposes served by the acquisition of oral language by children, and the essential similarity in the sequence through which speech develops irrespective of geography and culture. What is less clear is precisely 'how' children learn to say what they mean and 'how' teachers and parents can support and enhance the development of meaningful speech in their children. Until now, children's speech has been underused as a means of promoting learning in the formal school setting. New requirements within the National Curriculum are trying to address this gap, but there remains a lack of clarity as to what this means for practice, and how it relates to the broad base of curricular objectives. This book brings together a body of work, from different countries; it offers an improved understanding of how strategies for developing speaking and listening may impact metacognitive awareness, and raise standards of literacy and dialogic thinking for all children. This book was previously published as a special issue of Early Child Development and Care.

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