As an alternative to looking solely at linear functions, a three-lesson learning progression developed for Year 6 students that incorporates triangular numbers to develop children's algebraic thinking is described and evaluated.

The first section of this paper deals with the question of whether Piaget is a developmental or a learning theorist; the second section relates Piaget's research findings and developmental theory to a sequence of curriculum units in mathematics. It is suggested that Piaget makes no distinction between learning and development of cognitive…

A GROUP OF REPRESENTATIVES FROM FIVE SCHOOLS MET FOR TWO WEEKS TO DISCUSS MEANS OF IMPROVING ARITHMETIC TEACHING. THE CONTENT OF EACH GRADE WAS EXAMINED. THE PURPOSE WAS TO DETERMINE VARIOUS APPROACHES TO MOTIVATE BETTER LEARNING. NOTES OF THESE MEETINGS HAVE BEEN REPRODUCED AND SUGGESTIONS FOR TEACHERS OFFERED. TEACHERS SHOULD PROVIDE MANY…

A BOOKLET DESIGNED FOR ELEMENTARY SCHOOL STUDENTS TO BE USED INDEPENDENTLY FROM AND IN ADDITION TO THE REGULAR CLASSROOM CURRICULUM IN MATHEMATICS IS GIVEN. THE FIFTH- OR SIXTH-GRADE STUDENT IS PRESENTED WITH A DISCUSSION OF THE APPLICATIONS OF THE SLIDE RULE AND WITH A BACKGROUND REVIEW OF NECESSARY CONCEPTS. THE CONCEPTS OF THE SLIDE RULE ARE…

Describes study of elementary school children in Australia which was designed to determine their sequential knowledge of measuring length and to apply recent cognitive theories to predict the sequence of development of knowledge. Recent literature is reviewed, information processing skills are discussed, and skills required for measuring length…

A discussion of student-generated hierarchies developed for a mathematics objective by several small groups and validated on a second group. About 40 percent of the student-generated hierarchies were validated indicating that student input can be obtained to produce useful learning hierarchies. (Author)

Argues that reasons for teaching geometry before second-year algebra include higher student achievement and attitude and better abstract thinking. (PK)

This syllabus was designed as an elementary school mathematics methods course and is used with interns in a Teacher Corps project at Oklahoma State University as a part of their practicum experience. The course is conceived as a blend of directed readings, seminars, independent study, workshops, and practica. The syllabus is divided into four…

Proposes that ability is a concept central to the current practices of mathematics teaching. Argues that the widespread view that mathematics learning is an ordered progression through a hierarchy of knowledge and skills subjects students to "ability stereotyping" and serves as a gross global model. (TW)