These proceedings are a written record of the research presented at the 42nd annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA) held in Mazatlán, Mexico, virtually beginning May 27, 2021 and in-person June 2-6, 2021. The conference was originally scheduled to take place…

Many types of learning require the mapping of information across situations. The proposed organizational framework extends the cognitive study of mappings across problems to include mappings across representations, solutions, and sociocultural contexts. I apply one-to-one, one-to-many, and partial mappings to analyze representative cases that…

This second edition of the bestselling book "The Young Child and Mathematics" reflects recent developments in math education in a wealth of vignettes from classrooms, activity ideas, and strategies for teaching young children about math processes and concepts. Using standards and guidelines from the National Council of Teachers of Mathematics…

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…

The author argues that sine, secant, and tangent should be taught as the three basic trigonometric functions rather than sine, cosine, and tangent. (SD)

This curriculum project in general mathematics was planned with two specific objectives--(1) to study the existing curricula, textbooks, and teaching methods in mathematics in higher secondary schools of various states, and (2) to develop a new curriculum in mathematics in light of the objectives of teaching the subject and to try out the…

THE "DEMONSTRATION PROJECT" DESCRIBED IN THIS REPORT REPRESENTED A MAJOR PART OF THE ACTIVITY OF THE SYRACUSE UNIVERSITY-WEBSTER COLLEGE "MADISON PROJECT," BEGINNING IN SEPTEMBER, 1961, AND EXTENDING THROUGH THE SUMMER OF 1967. THE GOALS AS CONCEIVED BY THE MEMBERS OF THIS PROJECT WERE (1) TO CREATE EXPERIENCES IN MATHEMATICS…

Suggestions are offered for more effective implementation and creativity in developing new mathematics programs. The new mathematics materials and projects have not significantly altered the educational experiences of students because of (1) difficulty in identifying distinctive features of the various projects, (2) widespread assumptions that the…

A summary of the changes in content and method taking place in secondary school geometry in South Australia. (MM)

Written in 1933, this book grew out of the author's concern that college matehmatics sequences of the day, although appropriate in algebra preparation, did not adequately prepare teachers of geometry. This book describes a course intended to remedy this by providing for both a comprehensive study of geometry as an axiomatically defined structure…

This NSF-sponsored conference on the teaching of mathematics at the junior high level involved mathematics teachers and teachers of the natural and social sciences. Papers written for the conference form the bulk of this report. Summaries of the papers and general discussions are organized into shorter reports to give some guidelines which could…

Traditionally, the arts have been absent from Jewish day schools' curricula, and have been relegated to occasional visual art classes, choral music courses, or extra-curricular classes after school hours. Lately, along with a surge of new Jewish day schools, the arts are making their way back into the Judaic study curriculum. In this paper, the…