The Experimenter S A Z Of Mathematics

Mathematics at all levels is about the joy in the discovery; it's about finding things out. This fascinating book is a guide to that discovery process, presenting ideas for practical classroom-based experiments and extension activities. Each experiment is based on the work of a key mathematician who has shaped the way that the subject looks today, and there are historical notes to help teachers bring this work to life. The book includes instructions on how to recreate the experiments using practical mathematics, computer programs and graphical calculators; ideas for follow-up work; background information for teachers on the mathematics involved; and links to the new secondary numeracy strategy framework. Accompanying the book is a CD-ROM with downloadable computer programs that can be used and reworked as part of the experimental process. With a wide range of topics covered, and plenty of scope for interesting follow-up activities, the book will be a valuable tool for mathematics teachers looking to extend the curriculum.

In the course of evolution, a great variety of root systems have learned to overcome the many physical, biochemical and biological problems brought about by soil. This development has made them a fascinating object of scientific study. This volume gives an overview of how roots have adapted to the soil environment and which roles they play in the soil ecosystem. The text describes the form and function of roots, their temporal and spatial distribution, and their turnover rate in various ecosystems. Subsequently, a physiological background is provided for basic functions, such as carbon acquisition, water and solute movement, and for their responses to three major abiotic stresses, i.e. hard soil structure, drought and flooding. The volume concludes with the interactions of roots with other organisms of the complex soil ecosystem, including symbiosis, competition, and the function of roots as a food source.

The fascinating, fun, and friendly way to understand the science behind human language Linguistics is the scientific study of human language. Linguistics students study how languages are constructed, how they function, how they affect society, and how humans learn language. From understanding other languages to teaching computers to communicate, linguistics plays a vital role in society. Linguistics For Dummies tracks to a typical college-level introductory linguistics course and arms you with the confidence, knowledge, and know-how to score your highest. Understand the science behind human language Grasp how language is constructed Score your highest in college-level linguistics If you're enrolled in an introductory linguistics course or simply have a love of human language, Linguistics For Dummies is your one-stop resource for unlocking the science of the spoken word.

To really nail the Science section of the ACT standardized exam, you have to understand basic principles of science - experimentation, data collection, numerical and graphic data analysis, and how to develop conceptual conclusions. Who better to write the test prep book than an engineer who loves science? Michael Cerro uses his background as a chemical engineer, chess player, and highly-impactful ACT tutor with years of test prep experience to write a book that offers a new approach to ACT Test Prep rooted in: LOGIC. He brings together copious opportunities to practice with sample problems at each strategic lesson, using customized questions that feel just like the real test. Michael has an ability to create essential teaching moments on each page, as you walk through the book; and you may even have fun doing it!Above all, his love of the exam and of science ensure that anyone who uses this book - from teachers to tutors to students - will master the ACT Science section as well as gain a valuable understanding about the world of science that will be beneficial throughout life.

The material for these volumes has been selected from 20 years of examination questions for graduate students at the University of California at Berkeley, Columbia University, University of Chicago, MIT, SUNY at Buffalo, Princeton University and the University of ...

To define better techniques of mathematics education, this book combines a knowledge of cognitive science with mathematics curriculum theory and research. The concept of the human reasoning process has been changed fundamentally by cognitive science in the last two decades. The role of memory retrieval, domain-specific and domain-general skills, analogy, and mental models is better understood now than previously. The authors believe that cognitive science provides the most accurate account thus far of the actual processes that people use in mathematics and offers the best potential for genuine increases in efficiency. As such, they suggest that a cognitive science approach enables constructivist ideas to be analyzed and further developed in the search for greater understanding of children's mathematical learning. Not simply an application of cognitive science, however, this book provides a new perspective on mathematics education by examining the nature of mathematical concepts and processes, how and why they are taught, why certain approaches appear more effective than others, and how children might be assisted to become more mathematically powerful. The authors use recent theories of analogy and knowledge representation -- combined with research on teaching practice -- to find ways of helping children form links and correspondences between different concepts, so as to overcome problems associated with fragmented knowledge. In so doing, they have capitalized on new insights into the values and limitations of using concrete teaching aids which can be analyzed in terms of analogy theory. In addition to addressing the role of understanding, the authors have analyzed skill acquisition models in terms of their implications for the development of mathematical competence. They place strong emphasis on the development of students' mathematical reasoning and problem solving skills to promote flexible use of knowledge. The book further demonstrates how children have a number of general problem solving skills at their disposal which they can apply independently to the solution of novel problems, resulting in the enhancement of their mathematical knowledge.

This selection of reviews gives an up-to-date picture of memory research. Great progress has been made in identifying the memory trace at the molecular and cellular level and individual reviews address the major mechanisms by which changes in synaptic strength can persist. Exciting research at the systems level is also reviewed including the growing importance of changes in inhibitory interneurons and how they play a role in memory formation. Finally, reviews present cognitive and neurobiological models of human memory that explain, characterize and organize the act of memory within a coherent framework. * Provides an unique overview that covers all perspectives and methodological approaches to memory * Broad coverage of memory research from molecular to human studies in one source * Up-to-date reviews give the latest important ideas on memory formation