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…

Research-based guidelines for learning variation exist (e.g., Franklin et al., 2007; Garfield, delMas, & Chance, 2007), but little is known about how teachers plan to teach standard deviation, or how these plans align with recent recommendations. In this article, we survey lesson plans designed by inservice and preservice secondary…

A survey of Pennsylvania secondary schools showed that relatively few (15 percent) schools offered probability and statistics regularly as a complete course and of those which did, the course was elected primarily by seniors. Reasons for the lack of offerings are analyzed. (DT)

This is volume three of a three-volume SMSG junior high school mathematics text. This volume includes the units concerned with applications of mathematics. Unit topics include: (1) what is mathematics and why you need to know it; (2) mathematics at work in science; (3) Uncle Sam as a statistician; and (4) chance. (MP)

This volume is based on a conference on the teaching of probability and statistics held in 1969 by the Comprehensive School Mathematics Program (CSMP) and the Central Midwestern Regional Educational Laboratory (CEMREL). The purpose of the conference was to study a broad range of opinion on the teaching of probability and statistics and to…

Part of a series of four pamphlets providing problems in probability and statistics taken from real-life situations, this booklet develops probability methods through random numbers, simulations, and simple probability models, and presents the idea of scatter and residuals for analyzing complex data. The pamphlet was designed for a student having…

The teacher's guide for Unit 14 of this SMSG series covers the chapter on logic and the chapter on applications of probability and statistics. The overall purpose for each of the chapters is described, the prerequisite knowledge needed by students is specified, the mathematical development of each chapter is detailed, behavioral objectives are…

This article makes a plea for the greater use of non-parametric methods in introductory statistics courses. (MM)

Arguing that the teaching of stochastic processes should reflect the experience and reality of the student, the author urges concentration on fundamental ideas. The development of intuition should be encouraged, and to this end continuity in teaching and a spiralled curriculum are important. (SD)

Part of a series of four pamphlets providing real-life problems in probability and statistics for the secondary school level, this booklet shows how to organize data in tables and graphs in order to get and to exhibit messages. Elementary probability concepts are also introduced. Fourteen different problem situations arising from biology,…

Part I of the teachers' commentary for "Exploring Data" includes a brief description of demands on the reader in terms of reading vocabulary and mathematical skills and comprehension, lists the substantive areas covered by the examples, suggests ways in which the pamphlet might be used in the classroom, and discusses background information for the…

Part I of the teachers' guide for "Weighing Chances" briefly describes the mathematical background necessary for the student, lists the substantive areas touched upon by the problems in the pamphlet, suggests classroom uses for the booklet, and gives background information on the individual chapters. Part II provides complete solutions for the…

One chapter in the fourteenth unit of this SMSG series deals with logic; simple and compound statements, truth tables, logical equivalence, rules of a logical argument, proof, quantifiers, and negations are the topics covered. The second chapter of the unit discusses applications of probability and statistics, including random sampling,…

This guide provides a structured program for the slow learner in mathematics grades 6-11. Suggestions for implementing the program are included. The guide is divided into the following major areas of mathematical competency: Fundamental Operations, Geometry, Measurement, Graphing, Algebra, Probability and Statistics, and Logic. Recreation is the…

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)