This book identifies the educational problems and issues that could be solved by design and discusses how to overcome these challenges by adopting a design thinking approach. The chapters cover topics such as opportunities and challenges for the futures of education, the emerging models of design thinking for education, learning activity design,…

In 2010, the William and Flora Hewlett Foundation's Education Program has established the Deeper Learning Initiative, which focuses on students' development of deeper learning skills (i.e., the mastery of core academic content, critical-thinking, problem-solving, collaboration, communication, and "learn-how-to-learn" skills). Two test…

Presents a demonstration of kinematics principles that stresses conceptual analysis over equation manipulation. Aims at focusing students' attention on concepts by using comparative problems, allowing students to predict the outcome of the demonstration and explain the reasoning behind their predictions, and extending the context in which the…

Discusses the place of problem posing in mathematics education. Shares some approaches to implementing problem posing and critiquing in the classroom. (ASK)

Presents a classroom scenario in which a student concocts a unique solution to a standard circle exercise and the class attempts to verify if the solution works for all cases of the problem. (MKR)

Many teachers and administrators have recognized that problem solving and reasoning represent two of the primary goals in the education of children. In order for teachers to achieve these goals, they must have appropriate materials available to them. This book includes materials to help teach and assess problem solving and reasoning. The first six…

This book addresses different types of thinking, including critical, creative, and analytical, and presents a variety of problem-solving strategies, along with specific ways they can be taught to students. The main emphases of the book are thinking and mathematics, problem solving, and the application of computational skills. The problem-solving…

This booklet includes a wheel of problem solving strategies and a seven-step process for approaching and solving complicated problems. The information provided gives students a variety of ways to approach, analyze, and think critically about mathematics problems. The chapters present guides to promoting critical thinking in cooperative groups…

The article offers suggestions for helping gifted elementary students learn to use independent thinking skills to challenge their own thinking as well as to solve mathematical problems. (DB)

Argues that the way in which students solve a particular problem can be analyzed to gain insight into how students think about the mathematics involved. Discusses the use of knowledge gained from listening to student conversations about their strategies to orchestrate classroom discussions. (ASK)

Reports on a mathematical investigation of fractals and highlights the thinking involved, problem solving strategies used, generalizing skills required, the role of technology, and the role of mathematics. (ASK)

Presents the results of a study that aimed to incorporate a wide range of problem posing situations into students' problem solving in a classroom project with mathematically-able students in the first two years of secondary school. (Contains 15 references.) (ASK)

Develops a diagnostic framework that supports teaching and learning in situations that are suitable for students having difficulty in addressing basic problems. Uses data collected from 47 students in a senior mathematics course. Contains 63 references. (Author/ASK)

This book provides a collection of 191 mathematical problems aimed at the advanced high school student level and above. Problems cover general mathematical areas including plane geometry, three-dimensional geometry, number theory, algebra, combinatorics and graph theory, and a number of miscellaneous questions that combine mathematical…

The books in this series provide an essential ingredient in the transition from concrete mathematical experience to the symbolic reasoning used in algebra. They aim to guide the student in building and extending manipulative patterns, collecting numerical data, and analyzing the results. The main objective of the activities in this book is for the…