Children are Mathematical Problem Solvers


Book Description

This book emphasises the need for children to explore many experiences in problem solving in order to apply and strengthen their mathematical abilities. It is composed of 29 problems from the "Problem Solvers" column in Teaching Children Mathematics, NCTM's journal for elementary school teachers. The situations offered are intended to engage students in interesting explorations in which they do challenging, interesting problem solving with significant mathematical content. The book also features solutions and children's work that were sent to the editors from children and teachers from around the country.




Problemoids


Book Description




Little Kids--powerful Problem Solvers


Book Description

Grade level: k, t.




Teaching Children To Love Problem Solving: A Reference From Birth Through Adulthood


Book Description

remove remove This book was developed with the caring and concerned adult in mind and is a one-stop for anyone who would like to help a child develop problem solving thinking. They will become adept at the use of problem solving strategies over the course of their development from birth. For each age range, this book provides developmental information, relevant mathematical concepts, sample problems with multiple solutions, and finally activities to engage with as a family in order to develop mathematical thinking and problem solving skill.




Comprehending Problem Solving


Book Description

Nationally recognized mathematics educator and author Art Hyde takes a culminating look at his thirty years of experience working with teachers and students to answer the question: In the Common Core era, what are the most successful practices for helping children solve mathematical problems with deep understanding? The key, he argues, is providing positive experiences with meaningful mathematics centered around rich activities. When students are given the opportunity to wrestle with appropriately difficult activities based on real life situations and intriguing contexts, they become excited about the math and willingly tackle problems with more zeal and accuracy than ever before. The result is deeper understanding of the content and greater skill at doing mathematics. Art draws on extensive research on how children learn and the relationship between reading and mathematical comprehension. His braided model of problem solving in which cognition, language, and mathematics are woven together intentionally forms the basis of math activities that he and numerous elementary teachers around the country have used. Look into the classrooms of some of these math teachers in this book, as they share their success stories illustrating the rewards of using these activities to foster deep mathematical understanding. Arthur Hyde is a professor of mathematics education at National Louis University, where he received its Excellence in Teaching award. While teaching high school mathematics in Philadelphia, he developed a variety of creative methods for teaching math. He also obtained a doctorate in curriculum and instruction from the University of Pennsylvania, where he later directed its teacher-education programs. He has worked frequently in elementary classrooms, conducting extensive professional development programs on teaching mathematics and math problem solving in Chicago and its surrounding school districts. His previous books include: Best Practice, Fourth Edition (coauthored with Steven Zemelman and Harvey Daniels), Understanding Middle School Math, and Comprehending Math.




Exploring Cognitive Development


Book Description

This book uses the paradigm of the child as a problem solver to examine various theories of cognitive development. Provides balanced coverage of a broad range of contemporary theories. Focuses on collaborative tasks which are carried out with other children or adults. Asks whether social interaction is the key to improvement in problem solving skills, or whether it is the skills and abilities that the child brings to the task that are paramount. Draws on a wide range of research, including the author’s own research into dyadic problem solving.




Affect and Mathematical Problem Solving


Book Description

Research on cognitive aspects of mathematical problem solving has made great progress in recent years, but the relationship of affective factors to problem-solving performance has been a neglected research area. The purpose of Affect and Mathematical Problem Solving: A New Perspective is to show how the theories and methods of cognitive science can be extended to include the role of affect in mathematical problem solving. The book presents Mandler's theory of emotion and explores its implications for the learning and teaching of mathematical problem solving. Also, leading researchers from mathematics, education, and psychology report how they have integrated affect into their own cognitive research. The studies focus on metacognitive processes, aesthetic influences on expert problem solvers, teacher decision-making, technology and teaching problem solving, and beliefs about mathematics. The results suggest how emotional factors like anxiety, frustration, joy, and satisfaction can help or hinder performance in problem solving.




Arnold's Problems


Book Description

Vladimir Arnold is one of the most outstanding mathematicians of our time Many of these problems are at the front line of current research




The Dragon Curve


Book Description

Aiyana finds a long, skinny strip of paper on the ground that looks like a road. As she follows the road, she folds the paper in half, and it becomes a mountain for her to climb. With every fold, she makes a new shape, one that fuels her curiosity in wonderful ways and takes her on a magical journey into the world of fractals. This is a beautiful story about the power of imagination, mathematics, and the world around us. It is a chance for readers of all ages to catch a glimpse of the beauty of math and inspire the joy of their own inner mathematician. Fold along with Aiyana and see the magic unfold!




Children's Mathematics


Book Description

With a focus on children's mathematical thinking, this second edition adds new material on the mathematical principles underlying children's strategies, a new online video that illustrates student teacher interaction, and examines the relationship between CGI and the Common Core State Standards for Mathematics.