Conceptual Problem Solving Meaning
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Conceptual Model-Based Problem Solving
Author: Yan Ping Xin
language: en
Publisher: Springer Science & Business Media
Release Date: 2013-02-11
Are you having trouble in finding Tier II intervention materials for elementary students who are struggling in math? Are you hungry for effective instructional strategies that will address students’ conceptual gap in additive and multiplicative math problem solving? Are you searching for a powerful and generalizable problem solving approach that will help those who are left behind in meeting the Common Core State Standards for Mathematics (CCSSM)? If so, this book is the answer for you. • The conceptual model-based problem solving (COMPS) program emphasizes mathematical modeling and algebraic representation of mathematical relations in equations, which are in line with the new Common Core. • “Through building most fundamental concepts pertinent to additive and multiplicative reasoning and making the connection between concrete and abstract modeling, students were prepared to go above and beyond concrete level of operation and be able to use mathematical models to solve more complex real-world problems. As the connection is made between the concrete model (or students’ existing knowledge scheme) and the symbolic mathematical algorithm, the abstract mathematical models are no longer “alien” to the students.” As Ms. Karen Combs, Director of Elementary Education of Lafayette School Corporation in Indiana, testified: “It really worked with our kids!” • “One hallmark of mathematical understanding is the ability to justify,... why a particular mathematical statement is true or where a mathematical rule comes from” (http://illustrativemathematics.org/standards). Through making connections between mathematical ideas, the COMPS program makes explicit the reasoning behind math, which has the potential to promote a powerful transfer of knowledge by applying the learned conception to solve other problems in new contexts. • Dr. Yan Ping Xin’s book contains essential tools for teachers to help students with learning disabilities or difficulties close the gap in mathematics word problem solving. I have witnessed many struggling students use these strategies to solve word problems and gain confidence as learners of mathematics. This book is a valuable resource for general and special education teachers of mathematics. - Casey Hord, PhD, University of Cincinnati
Problem Solving
The way that we assess and overcome problems is an essential part of everyday life. Problem Solving provides a clear introduction to the underlying mental processes involved in solving problems. Drawing on research from cognitive psychology and neuroscience, it examines the methods and techniques used by both novices and experts in familiar and unfamiliar situations. This edition has been comprehensively updated throughout, and now features cutting-edge content on creative problem solving, insight and neuroscience. Each chapter is written in an accessible way, and contains a range of student-friendly features such as activities, chapter summaries and further reading. The book also provides clear examples of studies and approaches that help the reader fully understand important and complex concepts in greater detail. Problem Solving fully engages the reader with the difficulties and methodologies associated with problem solving. This book will be of great use to undergraduate students of cognitive psychology, education and neuroscience, as well as readers and professionals with an interest in problem solving.
Conceptual Issues in Modern Human Origins Research
While those who study human origins now agree that the evolution of modern human form extends back much further in time than the evolution of modern human behavior, they disagree sharply as to how to interpret the substantive data. Two fundamentally incommensurate interpretations of our origins, the "Replacement" camp and the "Continuity" camp, have now emerged out of pre-existing models and theories that go back to the last quarter of the 19th century. This book contends that these positions are based on radically different biases and assumptions about what the remote human past was like. The purpose of this volume is to examine those conceptual differences, not to arrive at a consensus, but rather to explore the reasons why a consensus might never be possible.