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…

Relationships between both the elements and the overall characteristics of Pascal's triangle are explored. (DT)

This is part three of a three-part manual for teachers using SMSG high school text materials. Each chapter contains a commentary on the text, answers to the exercises, and a set of illustrative test questions. Chapter topics include: (1) the system of vectors; (2) polar form of complex numbers; (3) sequences and series; (4) permutations; (5)…

A case is made for a comprehensive curriculum that includes strong competencies with not only number ideas and computation, but also with other mathematical topics such as geometry, statistics, probability, and estimation. (MP)

Children at many levels enjoy using spinners to explore probabilities and practice predicting, tabulating and graphing outcomes, and observing results. Directions for making spinners, descriptions of several activities, and sample worksheets are provided. (SD)

Presented are several variations of a multiplication game which develops probability and statistical concepts while it reinforces students' arithmetic skills. (JP)

This pamphlet recommends that elementary-school teachers be provided with inservice courses which deal with probability concepts. The recommendations are based on the experiences of 120 teachers who taught probability in elementary school as part of a project of the National Science Foundation. The authors observe that probability is important…

Chapters 7-8 of the special materials for low achieving students in grades 7-8 by SMSG deal with properties of the rational numbers and elementary probability. Included for each chapter are pretest exercises, a self-test, instructional lessons and exercises, and a chapter test. (CT)

The sixth in a series of six guidebooks on minimum course content for second-year algebra, this booklet presents an introduction to sequences, series, permutation, combinations, and probability. Included are arithmetic and geometric progressions and problems solved by counting and factorials. Overall course goals are specified, a course outline is…

This is one in a series of SMSG supplementary and enrichment pamphlets for high school students. This series makes available expository articles which appeared in a variety of mathematical periodicals. Topics covered include: (1) the history of the number pi; (2) what's new about pi; (3) the number pi; (4) pi and probability; and (5) from the…

This guide is organized around six concepts: sets, numbers and numeration; operations, their properties and number theory; relations and functions; geometry; measurement; and probability and statistics. Objectives and sample activities are presented for each concept. Separate sections deal with the processes of problem solving and computation. A…

This study examined the effects of number of illustrative examples and number of practice problems given on seventh graders' achievement in a unit on probability. Four treatment groups were used, one for each combination of two levels of number of examples and two levels of number of practice problems. Prior to treatment students were pretested on…

The primary aim of this guide is to aid teachers in planning and preparing a senior high school mathematics course for students preparing for college work. It is divided into separate one-semester courses of seven chapters each. The first-semester course consists of a traditional approach to the introduction of trigonometry and trigonometric…