Measures, Shape and Space


Book Description

Maths Action Plans is a series of four books for Years 4-6/P5-7, offering flexible, supportive teacher and pupil resources and coherent coverage of the five strands of the Framework for Teaching Mathematics. The series provides inspiring, flexible activities that can be fitted into any maths scheme. Each title contains: clear learning objectives, linked to the Framework for Teaching Maths, the National Curriculum Programme of Study and the 5-14 National Guidelines for Mathematics; lesson plans with up to three levels of differentiation; supplementary activities for consolidation or linked work; and suggestions for the application of ICT skills.




Maths the Basic Skills Measures, Shape and Space Worksheet Pack E1/E2


Book Description

This new set of resources, comprising three worksheet packs and a workbook, have been designed specifically for the new Adult Numeracy Curriculum, covering Entry Levels 1, 2 and 3 and Levels 1 and 2. All topics within the resources are clearly labelled with a curriculum reference to assist with planning.




Measuring Shape


Book Description

"John Russ is the master of explaining how image processing gets applied to real-world situations. With Brent Neal, he’s done it again in Measuring Shape, this time explaining an expanded toolbox of techniques that includes useful, state-of-the-art methods that can be applied to the broad problem of understanding, characterizing, and measuring shape. He has a gift for finding the kernel of a particular algorithm, explaining it in simple terms, then giving concrete examples that are easily understood. His perspective comes from solving real-world problems and separating out what works in practice from what is just an abstract curiosity." —Tom Malzbender, Hewlett-Packard Laboratories, Palo Alto, California, USA Useful for those working in fields including industrial quality control, research, and security applications, Measuring Shape is a handbook for the practical application of shape measurement. Covering a wide range of shape measurements likely to be encountered in the literature and in software packages, this book presents an intentionally diverse set of examples that illustrate and enable readers to compare methods used for measurement and quantitative description of 2D and 3D shapes. It stands apart through its focus on examples and applications, which help readers quickly grasp the usefulness of presented techniques without having to approach them through the underlying mathematics. An elusive concept, shape is a principal governing factor in determining the behavior of objects and structures. Essential to recognizing and classifying objects, it is the central link in manmade and natural processes. Shape dictates everything from the stiffness of a construction beam, to the ability of a leaf to catch water, to the marketing and packaging of consumer products. This book emphasizes techniques that are quantitative and produce a meaningful yet compact set of numerical values that can be used for statistical analysis, comparison, correlation, classification, and identification. Written by two renowned authors from both industry and academia, this resource explains why users should select a particular method, rather than simply discussing how to use it. Showcasing each process in a clear, accessible, and well-organized way, they explore why a particular one might be appropriate in a given situation, yet a poor choice in another. Providing extensive examples, plus full mathematical descriptions of the various measurements involved, they detail the advantages and limitations of each method and explain the ways they can be implemented to discover important correlations between shape and object history or behavior. This uncommon assembly of information also includes sets of data on real-world objects that are used to compare the performance and utility of the various presented approaches.




Maths Plus


Book Description

Stimulate children to work collaboratively with Maths Plus Groups Work -- and have fun too! Groups Work Year 3 Teacher Book provides 15 problem-solving group activities.







Spatial Representation and Reasoning for Robot Mapping


Book Description

This book demonstrates bene?ts of abstract and qualitative reasoning that have not received much attention in the context of autonomous robotics before. Bremen, Christian Freksa December 2007 Director of the SFB/TR 8 Spatial Cognition Preface This book addresses spatial representations and reasoning techniques for - bile robot mapping, providing an analysis of fundamental representations and processes involved. A spatial representation based on shape information is p- posed and shape analysis techniques are developed to tackle the correspondence problem in robot mapping. A general mathematical formulation is presented to provide the formal ground for an e?cient matching of con?gurations of objects. This book is a slightly revised version of my doctoral thesis submitted to the Faculty of Mathematics and Computer Science of the University of Bremen, Germany. Manycontributeto the developmentofa dissertation,butsomeofthemstand out. Christian Freksa, I thank you for supporting and encouraging my work, for introducing me to interdisciplinary work, for giving me the freedom to develop this dissertation, and for providing an enjoyable atmosphere to work in. Longin Jan Latecki, thank you for countless in-depth discussions helping me to develop andtopositionmywork,forthefruitfulcollaboration,andformakingaresearch stay possible that has been very valuable to me. I thank the research groups in Bremen and Philadelphia for helpful discussions and feedback, in particular Jan Oliver Wallgrun. ̈ I also thank Kai-Florian Richter, Sven Bertel, and Lutz Frommberger for feedback on this work. Robert Ross, thank you for helping to proof-read this dissertation.




How Chinese Learn Mathematics: Perspectives From Insiders


Book Description

The book has been written by an international group of very active researchers and scholars who have a passion for the study of Chinese mathematics education. It aims to provide readers with a comprehensive and updated picture of the teaching and learning of mathematics involving Chinese students from various perspectives, including the ways in which Chinese students learn mathematics in classrooms, schools and homes, the influence of the cultural and social environment on Chinese students' mathematics learning, and the strengths and weaknesses of the ways in which Chinese learn mathematics. Furthermore, based on the relevant research findings, the book explores the implications for mathematics education and offers sound suggestions for reform and improvement. This book is a must for anyone who is interested in the teaching and learning of mathematics concerning Chinese learners.




Supporting Numeracy


Book Description

Numeracy is a core subject in schools, and this book will provide those supporting children in this subject area with tried and tested strategies for working with students, as well as the tools to improve their own subject knowledge. Advice is given on how to: " provide an overview of key maths topics; " introduce students to key issues surrounding the teaching of numeracy; " support learners who find it difficult to understand concepts, and stretch those who have grasped them easily; " show how numeracy links with other areas of the curriculum, and with everyday life. Each chapter covers a different aspect of mathematics, highlighting key teaching points and common misconceptions. Case studies from teaching assistants bring the topics alive, and there are tasks for the reader to try out, which will them develop their own understanding. This book is essential for reading for all teaching assistants and support staff in early years and primary settings. It is particularly useful for those studying for a Foundation Degree.







Assessing Teacher Effectiveness


Book Description

How can we really evaluate teacher effectiveness? Systems of teacher appraisal and evaluation are being created across the world in order to monitor and assess teacher performance. But do the models used really give a fair evaluation? Based on international research, the authors argue that teacher effectiveness is too narrowly conceptualised and methods of measuring it are not attuned to the real contexts in which teachers work. They propose a model of differential teacher effectiveness which takes into account that: * teachers may be more effective with some categories of students than with others * teachers may be more effective with some teaching contexts than others * teachers may be more effective with some subjects or components than with others. Building on and developing previous research on models of teacher effectiveness and current theories, the authors open up possible new debates which will be of interest to academics and researchers working in this area throughout the world.