This study evaluates a foundation, also somdetimes called remedial or developmental, mathematics course at a mid-sized university in the southwestern United States. As a narrative evaluation, the study reports the events, explanations, processes and relationships that are evidence of the evaluation proceeding through five generations. The first four generations of evaluation, based on work by Guba and Lincoln, were insufficient to generate major significant recommendations or a final conclusion. The research evolved naturally into the fifth generation, or reflective, type. Many personal and cultural factors affect learning. Qualitative methods are employed for immersion into the experience of program participation and to explain contextualized meanings. The chosen methodology of narrative inquiry pulls the various pieces into a unified qualitative study with an emphasis on optimizing the understanding of the case. This study helped in the ongoing improvement of at least one program. Improvements in other educational settings can be based on practices that prove to be effective with our students whose race, social class, and math achievement place them in need of attention.
Macmillan Mathematics is a six-level Primary Mathematics course designed to meet the needs of international learners. The course package for each level includes two Pupil's Books with an interactive Pupil's CD-ROM. The Teacher's Guide includes facsimiles of the Pupil's Book pages, answers to all the exercises, and supportive lesson notes to ensure that teachers get the most out of the course and their pupils. Embark on a journey through the world of numbers, shapes and equations in Macmillan Mathematics, the Primary Mathematics course that counts.
This book is a collection of my lecture notes, exercise, homework and real-world projects. Foundations Mathematics is the first step in Mathematics for science and engineering students and it is a pre-requisite for ALL coming Math courses. The topics are: Fundamental operations with numbers,Some products, Factoring, Percentage, Ration and Proportion, Operations with polynomials, Linear equations, Linear inequalities, Quadratic equations, Analytic Geometry, Functions, Linear functions, Quadratic Functions, System of linear equations.
To improve the mathematical competencies - procedural knowledge, conceptual understanding, and problem solving, of learners is the foremost objective of each teacher. "To know" Mathematics by the learners is technically different from "to understand" Mathematics, and far distant to that idea of "to apply" Mathematics. Let this book guide everyone in planning in the delivery of teacher's lesson in Algebra that is intended for a one-semester course.
Macmillan Mathematics bridges the gap between mainstream curriculum teaching and CLIL (Content and Language Integrated Learning) or English-medium teaching with a course that can be used with confidence by all teachers. Macmillan Mathematics has been written by experts in the field of primary education and is based on thorough research. This course is for 6-12 year olds.
The seminal text on fractal geometry for students and researchers: extensively revised and updated with new material, notes and references that reflect recent directions. Interest in fractal geometry continues to grow rapidly, both as a subject that is fascinating in its own right and as a concept that is central to many areas of mathematics, science and scientific research. Since its initial publication in 1990 Fractal Geometry: Mathematical Foundations and Applications has become a seminal text on the mathematics of fractals. The book introduces and develops the general theory and applications of fractals in a way that is accessible to students and researchers from a wide range of disciplines. Fractal Geometry: Mathematical Foundations and Applications is an excellent course book for undergraduate and graduate students studying fractal geometry, with suggestions for material appropriate for a first course indicated. The book also provides an invaluable foundation and reference for researchers who encounter fractals not only in mathematics but also in other areas across physics, engineering and the applied sciences. Provides a comprehensive and accessible introduction to the mathematical theory and applications of fractals Carefully explains each topic using illustrative examples and diagrams Includes the necessary mathematical background material, along with notes and references to enable the reader to pursue individual topics Features a wide range of exercises, enabling readers to consolidate their understanding Supported by a website with solutions to exercises and additional material http://www.wileyeurope.com/fractal Leads onto the more advanced sequel Techniques in Fractal Geometry (also by Kenneth Falconer and available from Wiley)
Key features* A unique technique-oriented approach takes the student through the mathematics in a highly accessible way* Comprehensive coverage of all topics required by undergraduates at advanced levels of mathematics in engineering and science* Hundreds of worked examples and progressively more challenging exercises* Ideal either as part of a course or for self-study
This book has been designed to provide an introduction to some fundamental concepts in Discrete mathematics in a precise and readable manner .This book contains a Judicious mix of concepts and solved examples that make it ideal for the beginners taking the Discrete Mathematics course .This book is aimed to help B.Tech [ Computer science , IT ] and MCA Students in various universities throughout INDIA .
This book is intended as a text for a course in differential geometry, at the research level. Differential geometry has a long history as a field of mathematics and yet its rigorous foundations in the realm of contemporary mathematics in relativity. The theory of structures on manifolds is a very interesting topic of modern differential geometry and differential geometric aspects of submanifold of manifolds with certain structures are vast and very fruitful fields for Riemannian geometry. The purpose of this book is to provide an introduction to the theory of various differential geometric structures on manifolds. In all the chapters, the author has tried to familiarize the readers with various techniques of computations which are currently in use in differential geometry. These are; (a) classical tensor calculus (b) exterior differential calculus with E. Cartan ( c) formalism of covariant differentiation D_X Y.
Macmillan Mathematics is a six-level Primary Mathematics course designed to meet the needs of international learners. The course bridges the gap between mainstream curriculum teaching and CLIL (Content and Language Integrated Learning) or English-medium teaching. It aims to introduce mathematics in a simple and interesting way, with clearly structured lessons and colourful and appealing artwork. Multi-leveled tasks help children apply what they've learnt to the real world. Macmillan Mathematics caters for mixed ability classes and is designed to stimulate different types of mathematical thinking. 'Try This' boxes offer new challenges for fast finishers and provide more practice for other learners. Assess and review sections, in addition to the core teaching units, encourage further practice and consolidation of skills, and give teachers an effective way of evaluating their pupils' progress.
Evaluation, renewal and change constitute a necessary and integral part of any curriculum. This book attempts to offer a blueprint on the evaluation of English for Specific Academic Purposes (ESAP) course through the example of such a course offered for the Department of Agricultural Sciences, Biotechnology and Food Science of the Cyprus University of Technology. The book is written to interest a broad spectrum of readers such as teachers of not only English but other languages as well, language teacher trainers, and curriculum developers. It is premised on the notion that effective language learning best occurs when the curriculum is systematically evaluated, reviewed and renewed. It explores current theories and practices in ESP, and then describes and discusses the different stages of the specific curriculum evaluation, results and suggestions for renewal. The book is specifically designed for ESAP practitioners. However, a wide range of audiences, including language trainers and organisations involved in language teaching, curriculum development, evaluation and renewal will find the strategies and ESAP course evaluation of this book relevant to their work.