This is a series of 12 teacher-prepared Learning Activity Packages (LAPs) for General Mathematics 1. Topics covered include using mathematical tools; counting and computing; measurement: whole and fractional numbers; measurement: decimal notation; percent; tables and graphs; introductory algebra; equations and applications; integers; and…

Two studies attempted to clarify the Intellectual Tasks test assessment of number conservation by testing for two possible artifacts due to procedure: (1) Effects of preceding questions on the following test questions, and (2) operations or manipulations of the test materials by the examiner. Forty Mexican-American first and second graders were…

The relative precision of four methods of estimating missing data in principal components analysis was investigated. Artificial data with known characteristics, obtained from Cattell's "Plasmode: 30-10-4-2," was used with one third of the data on half of the variables being systematically eliminated. The four methods of missing data estimation…

This report explores the positive contributions of the minicalculator to basic education. The introduction to the report discusses the basic questions educators ask about the use of the minicalculator. The first section of the report briefly describes uses of the calculator in the classroom (as a time saver, for reinforcement, for motivation, as…

Three worksheets dealing with number triangles are given. Exercises are designed to lead students to discover number patterns within the triangles. (MP)

College students, in three experiments, learned to recite a counting pattern in the base three number system. Although all subjects learned to a criterion of two errorless trials, learning with different rule systems resulted in different levels of understanding and performance on transfer tasks. (GDC)

Argues that the effective use of calculators is important for employees in many areas. Suggests ways that schools might incorporate calculators into mathematics instruction. (PK)

Students are given a computational rule to follow for the first set of problems and must then discover the rule for the second set. Four worksheets for grades 1-8 are included. (MNS)

Defines arithmetic, harmonic, and weighted harmonic means, and discusses their properties. Describes the application of these properties in problems involving fuel economy estimates and average rates of motion. Gives example problems and solutions. (CW)

The study examined basic counting competencies, difficulties, skill progressions, and variation among 36 moderately retarded and 64 mildly retarded students (ages 5-14). Quantitative and qualitative analyses indicated deficiencies in basic counting competencies and systematic oral- and object-counting errors. Striking individual differences in…

This article describes the instructional efforts and success of two first grade teachers who cooperated in a year-long subtraction study with a university research team. Performance profiles of students in the experimental and control groups are presented, and implications for teaching are discussed. (PK)

Summarizes a simple design algorithm which identifies nested loops of equations which must be solved by trial-and-error methods. The algorithm is designed to minimize such loops, provides guidance to the selection of variables, and delineates the order in which systems of equations are to be solved. Examples are included. (TW)

Ten activities that give learners in grades 5-8 a chance to explore mathematics with calculators are provided. The activity cards involve such topics as odd addends, magic squares, strange projects, and conjecturing rules. (MNS)

Offers a way of teaching quantitative thinking through a software program called, "Hot Dog Stand." This simulation provides students with practice in planning expenses, in computing problems, and in dealing with a situation in which outcomes depend on random events. Also includes suggestions for computer use during non-scheduled time. (ML)

Discusses several recommendations for the mathematics curriculum, focusing on problem solving, understanding, several content topics, and topic integration and placement. Groups that influence the curriculum, and ways they can do so, are also discussed. (RH)