Knowing the facts is not enough. If we want students to develop intellectually, creatively problem-solve, and grapple with complexity, the key is in "conceptual understanding." A Concept-Based curriculum recaptures students' innate curiosity about the world and provides the thrilling feeling of engaging one's mind. This updated edition…

Students around the world have difficulties in learning about fractions. In many countries, the average student never gains a conceptual knowledge of fractions. This research guide provides suggestions for teachers and administrators looking to improve fraction instruction in their classrooms or schools. The recommendations are based on a…

This book describes an approach to mathematics instruction that attempts to honor children's thinking and sense-making ability. The book aims to weave strands of mathematics (addition, subtraction, place value, and problem solving) together and offer a wide variety of contexts for genuine mathematical exploration. The book is intended as a…

This article discusses using a Problem-Based Learning (PBL) curriculum to engage gifted learners. The benefits of PBL are described and a list of seven useful Web sites that explain PBL and provide examples of problems that can be used to excite gifted children about learning is provided. (CR)

This article discusses ways that sophistication can be incorporated into the curriculum to address the needs of gifted learners. Educators are urged to use questions, integrated curriculum, problem-based learning, independent and self-directed study projects, and mentor experiences to facilitate the exploration of ideas beyond the scope of the…

Problem-based learning (PBL) has been the focus of many developments in teaching and learning facilitation in recent years. It has been claimed that PBL produces independent learners who are motivated, engaged in deep learning, work as a team, and develop effective strategies, skills and knowledge for life-long learning and professional work.…

This document identifies five types of learning experiences which are relevant to understanding students' understanding of concepts and principles. These include exploring existing concepts, honing and clustering concepts, developing analytical and reasoning skills, developing problem solving skills, and structuring knowledge in memory. Each of…

This document is intended as a resource and guide to help teachers integrate a problem-centered approach into their curricula. It outlines the typical components of problem-centered mathematics and science activities, and offers practical suggestions, examples, and resources to assist this endeavor. The first section of this document, "What is…

Describes an engineering course for education and other nonscience majors. In this course, students integrate basic principles of applied physical science and engineering to solve authentic design problems. Discusses the nature of the interactive and problem-based instructional format and its effects on developing students' scientific inquiry…

An innovative curriculum called the "Regional Center Alternative Pathway," recently adopted by the Northwest Center for Medical Education (part of Indiana University's School of Medicine), is presented. The curriculum combines the traditional structure's didactic approach with a new problem-based tutorial curriculum. In this curriculum…

This fastback shows teachers and teacher educators how contextual teaching and learning (CTL) can change classrooms and teacher education programs. It introduces CTL in the classroom through the fictional Ms. Walters, a veteran classroom teacher who implements CTL strategies. The fastback examines the theories that support her instructional…

This paper identifies five types of learning experiences which are relevant to understanding students' grasp of concepts and principles. These include exploring existing concepts, honing and clustering concepts, developing analytical and reasoning skills, developing problem solving skills, and structuring knowledge in memory. Each of these…

Problem-based learning (PBL) is a teaching technique that educates by presenting students with a situation that leads to a problem for them to solve. Rather than finding a single correct answer, students interpret the question, gather additional information, create possible solutions, evaluate options, and present conclusions. This book shows…

In the Prospective Principals' Program at Stanford University, students are engaged in problem-based learning (PBL), a cooperative, small-group approach providing opportunities to resolve problems likely to confront real-world professionals. To illustrate PBL's background and rationale, chapter 1 briefly describes how the topic of teacher…

Describes how a teacher education course with a strong clinical component can help preservice students acquire problem-solving teaching strategies. After summarizing the characteristics of classroom teachers who use the model, the article discusses the key elements of a teacher education course designed for the development of such teachers. (SM)