A mathematics teacher shares a family discussion about Pythagorean triples as her child discovers new ideas about generating a triple. This idea can be useful for introducing students to the Pythagorean theorem. Observes that middle school students tend not to share creative insights in spite of supportive families and teachers. Presents…

Examines the use of spreadsheets for solving equations by the method of iterations. The combination of the spreadsheets and graphical representation is shown to be appropriate both for teaching and learning the method of iterations and for investigating properties of equations. (Author)

Presents an alternate form of assignment, called "Special Problems," that incorporates writing in journals into the mathematics classroom. The method requires students to provide process narratives to accompany selected homework exercises. Allows the teacher to monitor the student's thought processes and development. (MDH)

The game "Pythagoras" is an adaptation of the tangram puzzle. Describes the process of finding all the possible convex polygons with seven sides to prove that the solution to a given puzzle shape of seven sides difficult to find was not possible. (MDH)

Reports on a pilot study that examined use by sixth-grade students in Costa Rica of a mathematical microworld written in LOGO. The investigation had three phases: (1) open exploration of the microworld; (2) group discussion and sharing of hypotheses; and (3) guided discovery and problem solving. (Contains 11 references.) (SLW)

Early childhood motor activity programs at institutions of higher learning can operate within the tripartite mission of the university while serving a vital function in providing leadership and guidance to educators. This article describes the University of Northern Iowa's Kindergym model. Within this model, curricular areas of games/sports,…

Observing young children learning is an indispensable part of teaching in the early years and this is clearly acknowledged in the "Curriculum guidance for the foundation stage." It is through observing and assessing learning that one can find out what children know and what skills and concepts they appear to have acquired. In this…

This book provides ideas for table exhibits for grades 3-6 in nine different subject areas. These areas are: marine life; nature in the backyard; the history and uses of flags; impressionist painters and art; winter festivals around the world; fibers and fabrics; Native Americans in touch with the land; sugar and chocolate; and keeping the earth,…

This document reports on two 3-day workshops designed to train three vocational education instructors or curriculum developers from every Wisconsin school district in specific critical thinking skills strategies that they could implement in their districts. The document includes a three-page narrative description of the workshops that includes…

This pamphlet discusses group problem solving in schools. Its point of departure is that teachers go at problems from a number of different directions and that principals need to capitalize on those differences and bring a whole range of skills and perceptions to the problem-solving process. Rather than trying to get everyone to think alike,…

The Invent America program addresses the need to provide K-8 students with opportunities to learn critical and creative thinking skills through the process of inventing. Students apply problem-solving skills as they turn their own creative ideas into inventions. It is an effort to integrate the curriculum, help students synthesize knowledge, and…

The concept of owning knowledge is somewhat ethereal and until recently had little relevance to academic institutions. In principle any object that is capable of being controlled is capable of being owned. The most basic control concerns decisions about whether to communicate knowledge. The philosophical foundation which is the basis of the legal…

An interactionist-discovery theory of child phonology is proposed based on the following tenets: children invent their own phonological rules, and phonetic mastery is not automatically or generally in step with learning about phonemic contrasts. When a child learns the sound pattern of a language, there is constant interaction between the…

The writings of 33 authors in either curriculum theory or social studies are analyzed to determine whether each author supports structure-discovery views, reflective-inquiry views, or expresses views that tend to reflect both positions or neither position regarding the new approaches to teaching social studies. The structure-discovery method is…

Previous work by the authors permitted them to hypothesize the existence of certain universal cognitive strategies that play a significant role in child second language acquisition. Forming the basis of the "creative construction process" in L2 learning, these strategies have heretofore remained unspecified. This paper offers new…