This book supports trainee teachers working towards primary QTS in teaching primary mathematics across all areas of the curriculum. This Second Edition is linked to the 2012 Teachers' Standards. Focused on teaching a more integrated and inclusive curriculum, the text draws out meaningful cross curricular links and embraces the latest thinking and current good practice in mathematics teaching. It begins with a section on teaching mathematics, covering all strands of the curriculum, and goes on to offer guidance on the use and application of mathematics more generally across subjects. A chapter on using mathematics to enahnce learning highlights the importance of being able to use mathematics effectively in other aspects of the teacher's role. Interactive activities and case studies link theory to practice and encourage the reader to rethink how mathematics is taught in primary schools. About the Transforming Primary QTS series This series reflects the new creative way schools are begining to teach, taking a fresh approach to supporting trainees as they work towards primary QTS. Titles provide fully up to date resources focused on teaching a more integrated and inclusive curriculum, and texts draw out meaningful and explicit cross curricular links.
Problem-Solving, Reasoning and Numeracy in Primary Schools
Author: Sue Fox
Publisher: Bloomsbury Publishing
Mathematics is a core subject and using and applying mathematics in problem solving activities is crucial in enabling children to use their knowledge and skills in a range of situations. Mathematics Across the Curriculum shows how to teach mathematical concepts through different subjects and discussing the reasoning and research behind using problem solving and investigation teaching techniques. Best practice for planning and assessment, classroom organisation and practice, and use of resources are all discussed, with clear links to recent research and government standards and initiatives. Case studies from practicing teachers enable readers to easily relate the theoretical information to their classroom and teaching. Mathematics Across the Curriculum is essential reading for all trainee and newly qualified teachers seeking to teach engaging, inspiring and challenging mathematics lessons. It will also be a useful resource for established teachers embarking on their Masters in Teaching and Learning (MTL).
How do I enrich children's learning of primary mathematics to bring the subject to life? This book inspires and supports you, the new and beginning teacher, to use talk-rich and open tasks that bring mathematics to life in your classroom. Tried and loved practical tasks that engage and motivate Supports you to create confident and resilient mathematicians in your classroom Explores ways to engage children in mathematics across the primary curriculum Focuses on understanding key mathematical concepts and the connections between them
Discrete mathematics is the branch of mathematics that deals with arrangements of distinct objects. It includes a wide variety of topics and techniques that arise in everyday life, such as how to find the best route from one city to another, where the objects are cities arranged on a map. It also includes how to count the number of different combinations of toppings for pizzas, how best to schedule a list of tasks to be done, and how computers store and retrieve arrangements of information on a screen.
The key to good primary teaching of numeracy and mathematics is confidence in mathematical knowledge and its relevance to the real world. In particular, effective implementation of the National Numeracy Strategy requires student teachers, primary teachers and mathematics coordinators to realize the place of mathematics across the range of National Curriculum subjects. This book explores mathematics as a set of tools for thinking about, designing, evaluating and changing the world of the child through the broader curriculum, rather than focusing on skills and concept building exclusively in the 'mathematical world.' Practical activities are included to stimulate readers to apply these ideas with confidence both within and beyond the mathematics lesson.
Providing essential guidance and background information about teaching mathematics, this book is intended particularly for teachers who do not regard themselves as specialists in mathematics. It deals with issues of learning and teaching, including the delivery of content and the place of problems and investigations. Difficulties which pupils encounter in connection with language and symbols form important sections of the overall discussion of how to enhance learning. The curriculum is considered in brief under the headings of number, algebra, shape and space, and data handling, and special attention is paid to the topic approach and mathematics across the curriculum. The assessment of mathematical attainment is also dealt with thoroughly. Teachers will find this book an invaluable companion in their day-to-day teaching.
Contains a collection of twenty-one essays that provide a guide for assessing and teaching writing in content areas, such as English, science, mathematics, and social studies, for the upper levels of high school, and describes different methods for teaching, assignments and how to grade them, and staff development.
Award-winning author Susan Ohanian conducts a lively tour of classrooms around the country where "Math time" means stimulating learning experiences. To demonstrate the point that mathematics is an active, ongoing way of perceiving and interacting with the world, she explores:teaching mathematical concepts through hands-on activities;writing and talking about what numbers mean;discovering the where and why of math in everyday life;finding that there are often multiple ways to solve the same problem.Focusing on the NCTM's Curriculum and Evaluation Standards for School Mathematics, Susan takes you into classrooms for a firsthand look at exciting ways the standards are implemented through innovative practices, introducing you to:new ways to organize your curriculum and classroom to support heterogeneous grouping, collaborative learning, and interdisciplinary studies;ways to create meaningful mathematics homework;the reflective power of writing to support mathematical understanding;classroom strategies that foster hands-on exploration, problem solving, and research;ways to connect math across the curriculum-to social studies,the language arts, art, and science;the effective use of manipulatives to solve intriguing problems.For the nonspecialist in particular, Susan shows that math really is an exciting and powerful tool that students can readily understand and apply in their lives.
A Mathematically Based Approach to Music Fundamentals
Author: Timothy A. Johnson
Publisher: Scarecrow Press
An introductory, undergraduate-level textbook that provides an easy entry point into the challenging field of diatonic set theory, a division of music theory that applies the techniques of discrete mathematics to the properties of diatonic scales. --from publisher description.
"In this extensively revised third edition of Teaching Secondary and Middle School Mathematics, scholar and classroom teacher Daniel Brahier presents concise, current, and meaningful descriptions of what it takes to be an effective teacher of mathematics. With up-to-date research, classroom-tested teaching ideas, and a vibrant writing style, this book provides essential information on curriculum, teaching, and assessment issues related to middle/secondary mathematics. Every chapter includes a contextualizing introduction, scenarios and dialogues for student reflection, recommended resources for further study, and closing activities and discussion questions to cement chapter concepts."--Jacket.
Standards for Introductory College Mathematics Before Calculus
Author: Standards for Introductory College Mathematics Project (U.S.).
Intended to improve mathematics education at two-year colleges and other institutions offering lower division courses as well as to encourage more students to study mathematics, this publication presents the American Mathematical Association of Two-Year Colleges' (AMATYC's) standards for revitalizing the pre-calculus mathematics curriculum and stimulating changes in instructional methods. Following introductory sections, chapter 1 describes the goals and basic principles underlying the document, while chapter 2 presents standards for introductory college mathematics including seven standards related to intellectual development, seven related to curriculum content, and five related to pedagogy. This chapter also provides charts of guidelines for achieving the standards. Chapter 3 addresses issues of content and pedagogy related to the interpretation of the standards in the areas of mathematics foundation-building courses, technical programs, mathematics-intensive programs, liberal arts programs, and programs for prospective teachers. Chapter 4 reviews implications of the standards for faculty development and other departmental considerations; advising and placement; laboratory and learning center facilities; the use of technology; assessment of student outcomes; program evaluation; and articulation with high schools, other colleges and universities, and employers. Finally, chapter 5 covers implementation, including institutional recommendations, the role of professional organizations, proposed regional workshops, and the development of materials, while chapter 6 provides concluding remarks. (Contains 78 references.) (Sample math problems based on the standards are appended.) (KP)