In 2001, the Chinese Ministry of Education issued Guidelines for Preschool Education (GPE) (trial version) to call on early childhood practitioners to use a child-centered and play-based approach to teaching and learning. The guidelines also include mathematics within the science domain and described its standards in a way that significantly…

This paper describes an approach for pre-service or in-service mathematics education that teaches sophisticated mathematics using only the tools of high school mathematics. The idea is to start with a standard problem from high school mathematics and let the solution to this problem serve as a platform for asking good mathematical questions and…

This resource book contains 18 magic number tricks that spark the interest and imagination of students as they are led through a variety of mathematical computations and discoveries. Following each activity, students are asked to write about their discoveries and create their own magic tricks. A matrix of skills for all the activities and lists of…

Open-ended learning environments (OELEs) provide contexts to support exploration, experimentation, and problem-solving. This paper creates a context for understanding the issues and challenges associated with the design and development of OELEs. Discussion first centers on characteristics of OELEs which differ from traditional learning…

This study examined the effects of guided programmed instruction with Logo programming on the development of cognitive processes and thinking skills among college students. Logo programming has been advocated as a powerful tool to help students develop higher order thinking, an awareness of their thinking processes, and problem solving skills;…

Describes implementation of the "process workshop" model for university chemistry classroom instruction. Defines process workshop as a classroom environment where students are actively engaged in learning a discipline and developing essential skills by working in self-managed teams on activities that involve guided discovery, critical thinking,…

This text reviews academic, emotional, motivational, and social learning theories that help children to be their own teachers and teachers to be aware of the advantages of taking charge of one's own learning, rather than depending on teacher education methodology. Learning is described as more than learning facts and figures or directive…

System-initiated adaptive advice and learner-requested nonadaptive background information were investigated in computer simulation game experiments with 64 seventh graders, 38 college students, and 80 seventh and eighth graders in Germany. Results are discussed in terms of theories of problem solving, intelligence, memory, and information…

A central premise of the discovery-learning and progressive education movements was that the child's own questions are the most appropriate starting point for instruction. Recent advances present new opportunities for discovery-oriented learning. This project has been attempting to create a classroom environment which affords students the…