This volume is designed to assist anyone with the mathematics involved in map making. It starts from an elementary standpoint and progresses to give the student a sufficient level of understanding to cope with most topics encountered by the map maker, including those of elementary surveying. The material is in two carefully cross-referenced parts. Mathematical topics and concepts are presented in the first part, enabling the relevance of each topic to be made clear, while the second part contains a glossary and formulae summaries with several appendices.

This work should help anyone who has problems with the mathematics involved in map making or who wishes to acquire a better grounding in the subject. It starts from an elementary standpoint in which no previous knowledge is assumed, and progresses to give the student a sufficient level of understanding to cope with most topics encountered by the map maker, including those of elementary surveying. A large number of worked examples is given, together with exercises (and answers), for the reader to perform.

In terms of statistics, GIS offers many connections. With GIS, data are gathered, displayed, summarized, examined, and interpreted to discover patterns. Spatial Mathematics: Theory and Practice through Mapping uses GIS as a platform to teach mathematical concepts and skills through visualization of numbers. It examines theory and practice from disparate academic disciplines such as geography, mathematics, physics, and general social science. This approach allows students to grapple with biodiversity, crime, natural hazards, climate, energy, water, and other relevant real-world issues of the twenty-first century. Includes QR Codes Linked to Animated Maps, a Mapping Activity Site, or to an Interactive Webpage, Creating an Interactive Resource That Stays Relevant The book integrates competing philosophical views of the world: synthesis and analysis. These two approaches yield different results and employ different tools. This book considers both approaches to looking at real-world issues that have mathematics as a critical, but often unseen, component. This approach shows readers how to use mathematics to consider the broad problem at hand and to explore diverse realms in the worlds of geography and mathematics and in their interface. A truly interdisciplinary text, the book bridges the worlds of mathematics and geography and demonstrates how they are inextricably linked. It takes advantage of the convergence in citizen science, STEM education, and mapping that help readers become critical consumers of data—understanding its content, quality, limitations, and benefits. It provides thorough grounding in the analytical, statistical, and computational skills required for working in any field that uses geospatial technologies—not just surveyors and remote sensing analysts.

This revised and updated third edition offers a range of strategies, activities and ideas to bring mathematics to life in the primary classroom. Taking an innovative and playful approach to maths teaching, this book promotes creativity as a key element of practice and offers ideas to help your students develop knowledge, understanding and enjoyment of the subject. In the creative classroom, mathematics becomes a tool to build confidence, develop problem solving skills and motivate children. The fresh approaches explored in this book include a range of activities such as storytelling, music and construction, elevating maths learning beyond subject knowledge itself to enable students to see mathematics in a new way. Key chapters of this book explore: • Learning maths outdoors - make more noise, make more mess or work on a larger scale • Everyday maths - making sense of the numbers, patterns, shapes and measures children see around them • Music and maths – the role of rhythm in learning, and music and pattern in maths Stimulating, accessible and underpinned by the latest research and theory, this is essential reading for trainee and practising teachers who wish to embed creative approaches to maths teaching in their classroom.

Five children find a route through the wilderness in this exciting mountain-race adventure for middle grade readers. Sal, Joe, Francie and Humphrey misplace their famous mapmaker mother as they begin the Great Race to map a rail route through an uncharted wilderness. Their father didn't return from his last expedition and now their money is gone. This race is their last chance. They have 28 days to find and map the best route. There'll be bears, bees, bats, river crossings, cliff falls, impossible weather--but worst of all, they're racing five teams of adults who do not play by the rules.

"Kids love to move. But how do we harness all that kinetic energy effectively for math learning? In Math on the Move, Malke Rosenfeld shows how pairing math concepts and whole body movement creates opportunities for students to make sense of math in entirely new ways. Malke shares her experience creating dynamic learning environments by: exploring the use of the body as a thinking tool, highlighting mathematical ideas that are usefully explored with a moving body, providing a range of entry points for learning to facilitate a moving math classroom. ..."--Publisher description.

Computer science provides a powerful tool that was virtually unknown three generations ago. Some of the classical fields of knowledge are geodesy (surveying), cartography, and geography. Electronics have revolutionized geodetic methods. Cartography has faced the dominance of the computer that results in simplified cartographic products. All three fields make use of basic components such as the Internet and databases. The Springer Handbook of Geographic Information is organized in three parts, Basics, Geographic Information and Applications. Some parts of the basics belong to the larger field of computer science. However, the reader gets a comprehensive view on geographic information because the topics selected from computer science have a close relation to geographic information. The Springer Handbook of Geographic Information is written for scientists at universities and industry as well as advanced and PhD students.

Interested in an exciting STEM career but not sure what type of jobs are available and how to get started on your career journey? You've come to the right place. This friendly guide will help you decide whether a STEM-related career might be right for you and, if so, how to explore the options and put yourself in the best possible position to secure your dream job. Complete with unique insider inside from STEM professionals and inspiring stories about STEM pioneers, inside you will find: A wealth of job ideas, from the well-known to the less well-known Details of possible entry routes and required qualifications - both academic and vocational, from GCSEs to degrees and BTECs to apprenticeships A listing of the major employers and their recruitment practices Practical advice on how to find work experience, apply for jobs, build STEM skills and find further information A dedicated chapter covering women in STEM and the ever-improving job prospects Written in step-by-step chapters, and giving you everything you need to know to plan for success in a STEM career, this is your must-read guide.

To understand the output from a geographic information system, one must understand the quality of the data that is entered into the system, the algorithms driving the data processing, and the limitations of the graphic displays. Introduction to Mathematical Techniques Used in GIS explains to nonmathematicians the fundamentals that support the manipulation and display of geographic information. It focuses on basic mathematical techniques, building upon a series of steps that enable a deeper understanding of the complex forms of manipulation that arise in the handling of spatially related data. The book moves rapidly through a wide range of data transformations, outlining the techniques involved. Many are precise, building logically on underlying assumptions. Others are based upon statistical analysis and the pursuit of the optimum rather than the perfect and definite solution. By understanding the mathematics behind the gathering, processing, and display of information, GIS professionals can advise others on the integrity of results, the quality of the information, and the safety of using it.

In Making Every Maths Lesson Count: Six principles to support great maths teaching, experienced maths teacher and lecturer Emma McCrea takes away the guesswork as she sums up the key components of effective maths teaching. Maths classrooms are incredibly complex places. At any given time, the factors influencing the effectiveness of your teaching are boundless and this can lead to relying on intuition as to what might work best. This book aims to signpost a route through this complexity. Writing in the practical, engaging style of the award-winning Making Every Lesson Count, Emma McCrea helps teachers to move beyond trial and error by sharing evidence-informed tips and suggestions on how they can nudge the impact of their teaching in the right direction. Making Every Maths Lesson Count is underpinned by six pedagogical principles challenge, explanation, modelling, practice, feedback and questioning and presents 52 high-impact strategies designed to streamline teacher workload and ramp up the level of challenge in the maths classroom. The book draws out the key findings from the latest research on memory, learning and motivation and each chapter features numerous worked examples to demonstrate the theory in action, together with a concluding series of questions that will help maths practitioners relate the content to their own classroom practice. Furthermore, Emma's writing offers clarity around the language of maths teaching and learning, and also delves into the finer points of how to identify and address any misconceptions that students may hold. Written for new and experienced practitioners alike, this gimmick-free guide provides sensible solutions to perennial problems and inspires a rich, challenging and evidence-based approach to the teaching of maths. Suitable for maths teachers of students aged 11 to 18 years, and for primary school maths specialists.