For boys and girls who are prepared in the essential elements of arithmetic this later book proposes extended instruction in percentage and commercial transactions, and in the elements of geometry. It is one of a series of handbooks for pupils, and consists of progressive lessons, arranged mainly in topics, either reviewing the treatment in…

This paper discusses a number of educational concerns suggested by the computational metaphor which proposes the comparison of processes of mind to realizable or imaginable computer activities. Among the concerns discussed are those which include procedural modes of knowledge representation and control knowledge--knowing what to do. Also included…

These syllabuses for grades 7-12 were written, evaluated, and revised by a team of writers from the Orange County Science Education Improvement Project (OCSEIP). OCSEIP is a cooperative enterprise of the University of California (Irvine), California State College at Fullerton, the Orange County Schools Office, and local districts throughout Orange…

Discussed for use with learning disabled children are the geometric materials and teaching methods developed by M. Montessori. (DB)

Using an incorrect conjecture as a learning activity in mathematics is discussed. The example used is from transformation geometry. (DT)

Presents two equivalent forms of the Pythagorean theorem, and a form for finding the area of a right triangle. (RP)

Excerpts from the April 1950 issue of this journal, focusing on the teaching of geometry, are presented. The concern is its lack of importance in the curriculum. (MNS)

The topics of angle construction, angle trisection, and regular polygon construction with only a straightedge and compass are discussed for angles with integer measure. (MP)

A method is developed for finding the equations of two circles that intersect at points with integral coordinates. Such equations are useful for the introducing systems of quadratic equations. (MP)

Introduces a room air-exchange activity designed to assess student understanding of the concept of volume. Lists materials for the activity and its procedures. Includes the lesson plan and a student worksheet. (KHR)

Explores what is involved in the teacher's work of engaging students in producing a proof. Analyzes what teachers do to create a task in which students can produce a proof and what teachers do to get students to prove a proposition. Indicates that traditional, formal, two-column proofs place contradictory demands on teachers regarding how ideas…

Presents three lessons in which Cabri geometry is used. Discusses the pedagogy of those lessons along with objectives and resources. (KHR)

Provides activities focusing on students' use of manipulatives to demonstrate understanding. (Author)

Explores how constructing mazes to race two mice, Thunderbolt and Sweetie Pie, leads to an investigation of geometry and measurement concepts. (KHR)

In this story of a teacher-designed activity called Garage Math, 5th grade students broadened their understanding of how mathematics is used in the real world and strengthened their mathematical skills as they assumed the roles of construction workers. (Author/NB)