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How Students Learn: Mathematics in the Classroom


 
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How do you get a fourth-grader excited about history? How do you even begin to persuade high school students that mathematical functions are relevant to their everyday lives? In this volume, practical questions that confront every classroom teacher are addressed using the latest exciting research on cognition, teaching, and learning. "How Students Learn: History, Mathematics, and Science in the Classroom" builds on the discoveries detailed in the bestselling "How People Learn". Now, these findings are presented in a way that teachers can use immediately, to revitalize their work in the classroom for even greater effectiveness. Organized for utility, the book explores how the principles of learning can be applied in teaching history, science, and math topics at three levels: elementary, middle, and high school. Leading educators explain in detail how they developed successful curricula and teaching approaches, presenting strategies that serve as models for curriculum development and classroom instruction. Their recounting of personal teaching experiences lends strength and warmth to this volume. The book explores the importance of balancing students' knowledge of historical fact against their understanding of concepts, such as change and cause, and their skills in assessing historical accounts. It discusses how to build straightforward science experiments into true understanding of scientific principles. And, it shows how to overcome the difficulties in teaching math to generate real insight and reasoning in math students. It also features illustrated suggestions for classroom activities. "How Students Learn" offers a highly useful blend of principle and practice. It will be important not only to teachers, administrators, curriculum designers, and teacher educators, but also to parents and the larger community concerned about children's education.
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How Students Learn: History, Mathematics, and Science in the Classroom by M. Suzanne Donovan, John D. Bransford (National Academies Press) This book has its roots in the report of the Committee on Developments in the Science of Learning, How People Learn: Brain, Mind, Experience and School (National Research Council, 1999, National Academy Press). That report presented an illuminating review of research in a variety of fields that has advanced understanding of human learning. The report also made an important attempt to draw from that body of knowledge implications for teaching. A follow-on study by a second committee explored what research and development would need to be done, and how it would need to be communicated, to be especially useful to teachers, principals, superinten¬dents, and policy makers: How People Learn: Bridging Research and Prac¬tice (National Research Council, 1999). These two individual reports were combined to produce an expanded edition of How People Learn (National Research Council, 2000). We refer to this volume as HPL.
In the present book, the goal is to take the HPL work to the next step: to provide examples of how the principles and findings on learning can be used to guide the teaching of a set of topics that commonly appear in the K-12 curriculum. As was the case in the original work (1999), the book focuses on three subject areas: history, mathematics, and science. Each area is treated at three levels: elementary, middle, and high school. Distinguished researchers who have extensive experience in teaching or in partnering with teachers were invited to contribute the chapters. The committee shaped the goals for the volume, and commented-sometimes extensively-on the draft chap¬ters as they were written and revised. The principles of HPL are embedded in each chapter, though there are differences from one chapter to the next in how explicitly they are discussed.
Taking this next step to elaborate the HPL principles in context poses a potential problem that we wish to address at the outset. The meaning and relevance of the principles for classroom teaching can be made clearer with specific examples. At the same time, however, many of the specifics of a particular example could be replaced with others that are also consistent with the HPL principles. In looking at a single example, it can be difficult to distinguish what is necessary to effective teaching from what is effective but easily replaced. With this in mind, it is critical that the teaching and learning examples in each chapter be seen as illustrative, not as blueprints for the "right" way to teach.
We can imagine, by analogy, that engineering students will better grasp the relationship between the laws of physics and the construction of effec¬tive supports for a bridge if they see some examples of well-designed bridges, accompanied by explanations for the choices of the critical design features. The challenging engineering task of crossing the entrance of the San Francisco Bay, for example, may bring the relationship between physical laws, physical constraints, and engineering solutions into clear and meaningful focus. But there are some design elements of the Golden Gate Bridge that could be replaced with others that serve the same end, and people may well differ on which among a set of good designs creates the most appealing bridge.
To say that the Golden Gate Bridge is a good example of a suspension bridge does not mean it is the only, or the best possible, design for a suspension bridge. If one has many successful suspension bridges to com¬pare, the design features that are required for success, and those that are replaceable, become more apparent. And the requirements that are uniform across contexts, and the requirements that change with context, are more easily revealed.
The chapters in this volume highlight different approaches to address¬ing the same fundamental principles of learning. It would be ideal to be able to provide two or more "HPL compatible" approaches to teaching the same topic (for example, the study of light in elementary school). However, we cannot provide that level of specific variability in this already lengthy vol¬ume. Nevertheless, we hope that common features across chapters, and the variation in approach among the chapters, are sufficient to provide instruc¬tive insights into the principles laid out in How People Learn.

Product Details Binding: Paperback
Dewey Decimal Number: 510.71
EAN: 9780309089494
ISBN: 0309089492
Label: National Academies Press
Manufacturer: National Academies Press
Number Of Items: 1
Number Of Pages: 272
Publication Date: 2004-12-28
Publisher: National Academies Press
Studio: National Academies Press

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