An essential understanding of the uses and practices of algebra remain out of reach for many students. In this book, award-winning researcher Dr. Nicole Fonger addresses the issue of how to support all learners to experience algebra as meaningful. In a highly visual approach, the book details four research-based lenses with examples from 9th-grade…

"Drawing Conclusions" explores the use of juxtaposed visual representations (JVRs) to help preservice teachers grapple with abstract concepts, theories, or complex controversies in education. Acting as both a learning tool and an intellectual spark, JVRs are two simple contrasted sketches that students produce on a divided sheet of…

"Modeling Mathematical Ideas" combining current research and practical strategies to build teachers and students strategic competence in problem solving.This must-have book supports teachers in understanding learning progressions that addresses conceptual guiding posts as well as students' common misconceptions in investigating and…

"The Most Reasonable Answer" is an innovative and comprehensive guide to engaging students in inquiry dialogue--a type of talk used in text-based classroom discussions. During inquiry dialogue, students collectively search for the most reasonable answers to big, controversial questions, and, as a result, enhance their argumentation…

The Standards for Mathematical Practice provide an excellent foundation for encouraging students to think, reason, and persevere like mathematicians. Many elementary school teachers, however, face a challenge unpacking these practices and figuring out how to implement them in their classrooms. Christine Moynihan wrote "Common Core Sense:…

Within a group of advanced learners, the variety of abilities, talents, interests, and learning styles can be formidable. For the first time, this book connects the unique learning differences among gifted students to the specific teaching methods used to tailor their educational experiences. Differentiated instruction for gifted and talented…

Classically, geometry has been the subject in which students encounter mathematical proof based on formal deduction. Attention to proof in the geometry curriculum is strengthened by a focus on reasoning and sense making. This book examines the four key elements (conjecturing about geometric objects, construction and evaluation of geometric…

The routine jobs of yesterday are being replaced by technology and/or shipped off-shore. In their place, job categories that require knowledge management, abstract reasoning, and personal services seem to be growing. The modern workplace requires workers to have broad cognitive and affective skills. Often referred to as "21st century…

"The question for me is how can the human mind occur in the physical universe. We now know that the world is governed by physics. We now understand the way biology nestles comfortably within that. The issue is how will the mind do that as well."--Allen Newell, December 4, 1991, Carnegie Mellon University. The argument John Anderson gives…

How do children learn math--and why do some children struggle with it? The answers are in "Number Sense and Number Nonsense," a straightforward, reader-friendly book for education professionals and an invaluable multidisciplinary resource for researchers. More than a first-ever research synthesis, this highly accessible book brings math…

The course of study described in this book aims to enlarge the normal purview of literary study to include the subjective cases and purposes for reading and coming to literary judgments. Although the sequence of the four phases in this study should be maintained, the time spent on each phase may last a semester, a year, or longer. The four phases…

The author provides 79 short maxims on the nature of contemporary education. An aphorism is defined as a short pithy statement of truth as perceived by the author. As an introduction, 12 characteristics of aphorisms, a short historical survey of aphorisms, and examples by well-known writers are provided. Aphorisms, usually brief, may use words…

This book shows students how to increase their power to analyze problems and comprehend what they read. First it outlines and illustrates methods that good problem solvers use in attacking complex ideas, then it provides practice in applying these methods to a variety of comprehension and reasoning questions. The "Whimbey Method" of teaching…

An effort is made at defining the lessons of the sixties as they relate to the understanding of processes of social and organizational change. This essay examines the theory of change that emerged in the sixties, describes how the current condition in the United States indicates the wrongness of this view, and suggests a reformulation based on a…

In this book, the author demonstrates how teachers can transform the experience of K-12 students and help them become more knowledgeable and more creative in their thinking. At the core of this transformative process is imagination which can become the heart of effective learning if it is tied to education's central tasks. The book offers an…