Describes four activities to develop visualization skills and the concept of dimensionality in which students (1) visualize transforming figures between the second and third dimensions; (2) identify the three-dimensional objects from their two-dimensional projections; (3) conjecture about the vertices, edges, and faces of zero- to four-dimensional…

A set of instructional materials and methods, designated Inquiry Development Program, was designed to teach children how to learn independently. The student was presented with an event which had an outcome that ran counter to his expectations. Motivated by his curiousity, he then searched for an explanation to the discrepancy between what he…

Discusses how a single problem can be utilized to discuss mathematical skills and concepts at several different levels. Presents a problem involving fractions examined at the following four levels according to the abilities of the students: (1) finding solutions; (2) identifying methods for finding solutions; (3) exploring similar examples; and…

The gap between researchers and teachers has minimized the impact that research should have on school development. Using teachers as researchers is one way of empowering them to adopt the perspective of the researcher. Research-oriented activity is then seen as one promising means of improving the teachers' pedagogical expertise. It is assumed…

This study investigates the cognitive nature of teacher-pupil questions in "process oriented" and "content oriented" secondary social studies programs. Subjects were five classes selected from a program viewed by both teachers and pupils as process-oriented; five from a program viewed by both teachers and pupils as content…

Presents a series of activities that help students discover the Pythagorean Theorem and extension activities to explore various dissection proofs of the Pythagorean Theorem. Includes reproducible worksheets. (MDH)

Discusses the potential that school mathematics has for being a source of exploration and discovery for students and teachers. Provides a process-oriented definition of understanding mathematics. Presents activities in which students construct computer and actual models of polyhedra and make conjectures regarding a medical research application of…

Preservice elementary teachers worked cooperatively to explore the relationship between the measure of the central angle and the number of sides of regular polygons using the reflection of a line in a hinged mirror. The experience involved conjecture and experimentation, communication, and building connections between science, geometry, and…

Hands-on science activities and first-hand experiences of kindergartners studying trees demonstrate the true meaning of authentic assessment. The activities and teacher interactions had several things in common: (1) they asked students to perform or create something; (2) they invoked real-world applications; (3) they showed that there is more than…

This book describes inquiry learning during a year-long classroom exploration with 4th graders, which began with setting up a bird feeder and a journal for students to record observations. The authors argue that schools have been organized to make things easy for learners, shielding them from the messiness, ambiguity, and change of intellectual…

Reports development and results of the Kramer Project, a two-year study of the implementation of a problem-solving, activity-based mathematics program in the elementary grades. Describes the mathematical content covered, participating teachers, instructional materials employed, inservice teacher training provided, and academic achievement gains of…

Describes 4 activities for levels K-2, 3-5, 4-6, and 6-8 and a family activity that asks students to describe their community; use coordinates to represent the 4 voyages of Columbus; write a story based on a line graph of Lewis and Clark's expedition; determine serving sizes for astronauts in space; and investigate different modes of…

Describes the "number 2 arithmetic challenge," an activity in which students score points by creating examples using the number 2 that satisfy an unknown rule. Computers are utilized to verify and record examples. Conflicts with computer responses create situations to explore negative numbers, fractions, mixed numbers, the order of…

Provides a rationale for a learning environment in science classrooms that integrates science, mathematics, and technology while solving authentic problems. Describes activities that can be used in such an environment and presents data regarding students' attitudes toward the described activities. (MDH)

This document examines how a unit on model rockets, designed to be a "hands-on" activity within the "Mission to Mars" curriculum that was implemented in the Nashville (Tennessee) area middle schools, has been used to investigate children's understanding of experimentation. A literature review explores some of the traditional…