Mathwise

Assessment is a key driver in mathematics education. This book examines computer aided assessment (CAA) of mathematics in which computer algebra systems (CAS) are used to establish the mathematical properties of expressions provided by students in response to questions. In order to automate such assessment, the relevant criteria must be encoded and, in articulating precisely the desired criteria, the teacher needs to think very carefully about the goals of the task. Hence CAA acts as a vehicle to examine assessment and mathematics education in detail and from a fresh perspective. One example is how it is natural for busy teachers to set only those questions that can be marked by hand in a straightforward way, even though the constraints of paper-based formats restrict what they do and why. There are other kinds of questions, such as those with non-unique correct answers, or where assessing the properties requires the marker themselves to undertake a significant computation. It is simply not sensible for a person to set these to large groups of students when marking by hand. However, such questions have their place and value in provoking thought and learning. This book, aimed at teachers in both schools and universities, explores how, in certain cases, different question types can be automatically assessed. Case studies of existing systems have been included to illustrate this in a concrete and practical way.

A fun, easy-to-implement collection of activities that give elementary and middle-school students a real understanding of key math concepts Math is a difficult and abstract subject for many students, yet teachers need to make sure their students comprehend basic math concepts. This engaging activity book is a resource teachers can use to give students concrete understanding of the math behind the questions on most standardized tests, and includes information that will give students a firm grounding to work with more advanced math concepts. Contains over 100 activities that address topics like number sense, geometry, computation, problem solving, and logical thinking. Includes projects and activities that are correlated to National Math Education Standards Activities are presented in order of difficulty and address different learning styles Math Wise! is a key resource for teachers who want to teach their students the fundamentals that drive math problems.

How do students learn astronomy? How can the World-Wide Web be used to teach? And how do planetariums help with educating the public? These are just some of the timely questions addressed in this stimulating review of new trends in the teaching of astronomy. Based on an international meeting hosted by the University of London and the Open University (IAU Colloquium 162), this volume presents articles by experts from around the world. The proceedings of the first IAU Colloquium (105), The Teaching of Astronomy, edited by Percy and Pasachoff, were first published in 1990 and soon became established as the definitive resource for astronomy teachers. Astronomy education has advanced enormously in the intervening 7 years, and this sequel will inspire and encourage teachers of astronomy at all levels and provide them with wealth of ideas and experience on which to build.

Mathwise, written especially for teachers in grades three through six, introduces teachers to a broad view of what it means for students to do mathematics. Arthur and Pamela Hyde explore the powerful kinds of mathematical thinking that students are capable of doing and offer exciting approaches, methods, and strategies for teaching that will foster this capability. By building a bridge between students' lives and the key concepts of the curriculum, Mathwise helps teachers make mathematics a meaningful part of their students' world.

The Effective Learning and Teaching in Higher Education series is packed with up-to-date advice, guidance and expert opinion on teaching in the key subjects in higher education today, and is backed up by the authority of the Institute for Learning and Teaching. This book covers all of the key issues surrounding the effective teaching of maths- a key subject in its own right, and one that forms an important part of many other disciplines. The book includes contributions from a wide range of experts in the field, and has a broad and international perspective.

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Professional mathematicians from the US and Britain address practical aspects of innovative ideas in teaching mathematics, but shy away from either theoretical or historical perspectives on any particular pedagogical approaches. They set out the pros and cons of implementing creative instructional styles in order to share their insights with teachers at all educational levels. Annotation copyrighted by Book News, Inc., Portland, OR.