Describes the components of, and theoretical/research bases for, learning cycle pedagogy, which is especially appropriate for the special needs of the middle-school student. Three stages of the learning cycle are exploration, conceptual invention, and expansion. (Author/MKR)

This paper draws together briefly theories and knowledge from research in morphology and cognitive psychology, as well as some hypothetical information from traditional psychiatry, to show the ramifications of play in children's development. Play is defined as any of a wide variety of behaviors through which an individual attempts to discover what…

Stresses the development of complex cognitive processes during adolescence and sees the challenge of the curriculum in the question of greater match between the learner's cognitive level and the material to learned. (JOW)

Contends that the teaching of mathematics permits expansion of the personality and furthers development of intellecutual independence. (Author/DB)

Children's natural propensity for wonder is important to learning. Educators play a vital role in keeping that sense of wonder alive; educators must not merely supply explanations, but must move young children toward solving their own problems through active exploration, discovery, and reflection--processes that are pertinent to our responses in…

This book represents a compilation of the views and ideas of the late Hans Freudenthal, representing his last major contribution to the field of mathematics education. Rather than a presentation of new views, Freudenthal selected and streamlined old ideas, many gathered from his lectures in China, and formed a review of questions and issues in…

Babies and young children learn through extensive experimenting and by being encouraged, unknowingly, by parents to use their multiple intelligences. Later, children are forced to conform to the narrow intelligence valued by the formal education system; those who can not adapt drop out. By using multiple intelligences, we access a greater portion…

Children learn in a variety of contexts and from a variety of teachers, including their peers. It can be stimulating for children to examine the learning process and identify their own learning milestones. Brief reviews of stories about family and outside lessons and an activities sampler are provided. (Author/AEF)

Challenged is the traditional model for the transmission of mathematics in the elementary school classroom. An inquiry approach to learning mathematics is proposed and supported with results of a year long research project that exposed second graders to mathematical learning experiences using this approach. (MDH)

This monograph represents 5 years of collaborative discussions among individuals interested in improving the teaching and learning of mathematics beginning in 1985 with the planning of a conference and culminating in the production of this collection of 13 papers to be presented at the conference. Chapters include: (1) an introduction…

Argues that children's perceptions of the natural world are linked with imagination development and experiential learning. Describes children's learning as sensory-oriented. Advocates fostering a love of nature, arguing that access to natural places and natural play activities both encourage a connection with the earth and contribute to children's…

Described is the attempt to identify relationships between pedagogy and student behavior in a mathematical microworld. The patterns of teaching associated with LOGO-based computer activities involving ratio and proportion and the teachers role in helping students bridge the gap between LOGO- and school-mathematics practices are explored. (MDH)

Describes one teacher's reflection concerning the quest to develop an understanding of school mathematics that promotes and sustains students' opportunities for exploration and conjecture. Recounts that a particular student's exploration of the features of parabolas eventually led to an understanding of the quadratic formula precisely because of…

This autobiographical essay depicts a process of development through which an elementary school teacher becomes both expert and professional. With an MA in Medieval History and no teacher education coursework, the writer adopts a personalistic, "unorthodox traditional" approach to instruction. Exposure to controversy among…

Discusses and provides sample lessons of learning by discovery and weekly problem sets, which are presented as alternative methods for teaching college calculus. Both approaches stress conceptual understanding and guide the students to explore the ideas of calculus in small groups in a computer laboratory setting. (JJK)