This volume provides the appendices to the report appearing as SE 020 236, which is a study of the effects of students' grade level (four, five, or six) and of five variables related to types of open arithmetical sentences on students' ability to solve open-sentence problems. (SD)

In this paper the author proposes a learning model for basic mathematics based on measurement concepts. By analyzing mathematical concepts and citing related psychological and educational research, he develops and justifies this model. The basic premise on which the model is based is the notion that measurement provides an approach to number…

This text is the first of five in the Secondary School Advanced Mathematics (SSAM) series which was designed to meet the needs of students who have completed the Secondary School Mathematics (SSM) program, and wish to continue their study of mathematics. The first chapter, devoted to organizing geometric knowledge, deals with the distinction…

This is a report of an experiment performed to evaluate the effects of the teaching of non-decimal numeration systems in grades four and six. Eighteen classes consisting of 430 students comprised the sample. The students were divided into four randomly assigned treatment groups for each level. Tests were given before a teaching session of five to…

Twelve culturally disadvantaged 4-year-olds of borderline normal intelligence were subjects of this study. Its primary purpose was to test further the cognitive learning theory previously developed, as well as the reinforcement system, the facilities, and the experimental-longitudinal methods of research. The study did not include a control group…

This curriculum bulletin is one of a planned series of bulletins designed to meet the needs of teachers and supervisors who are working to improve the achievement level of mathematics in the schools. The eighty sequential units of this bulletin are organized into 3 categories - (1) Sets, number and numeration, (2) Operations, and (3) Geometry and…

This pamphlet is designed for use as enrichment material for able junior and senior high school students who are interested in mathematics. No more than a clear understanding of basic arithmetic is expected. Students are introduced to ideas from number theory and modern algebra by learning mathematical ways of coding and decoding secret messages.…

The Minnesota School Mathematics and Science Teaching (MINNEMAST) Project is characterized by its emphasis on the coordination of mathematics and science in the elementary school curriculum. Units are planned to provide children with activities in which they learn various concepts from both subject areas. Each subject is used to support and…

Performance objectives are stated for this secondary school instructional unit concerned with introduction to the stretcher and shrinker approach, solution of simple equations, factoring composite numbers into primes, definition of prime numbers, and communication skills with computational concepts. The course of study is intended for students…

Topics covered in the first chapter of Unit 13 in this SMSG series include mathematical models, methods of solving systems of equations, and graphical solution of systems of inequalities. The second chapter of this unit deals with properties of exponents, exponential and logarithmic functions, computing with logarithms, and the slide rule. For…

This is the second of four guidebooks on minimum content designed to strengthen fundamental concepts which are basic preparation for Algebra I. This booklet covers integers, rational and irrational numbers, real number properties and operations, graphing in one dimension, and open sentences. The overall course goals are stated, then, for each…

Forty kindergarten children at the Stephen Bull School in Racine, Wisconsin were tested to determine the effects of a sequence of 12 experimental lessons on the ability of kindergarten children to recognize and conserve numerousness. Subjects were 40-low-to-middle socioeconomic level children divided into treatment and control groups. A specially…

Written to fulfill the requirements for a University of Minnesota College of Education off-campus Indian education course for public school teachers, this Native American curriculum unit for middle and high school reflects the calendar achievements of the Maya Indians. The calendar is discussed in terms of its base number 20 (vigesimal system),…

This booklet contains some 80 problems in mathematics suitable for computer solution. The problems range from very simple to complex. Problems have been included from most mathematic disciplines, including number theory, analytical geometry, probability and statistics, trigonometry, equations, and sequence and limits. For the most part these…

The study attempted to trace the relationship between facility with cardinal-ordinal aspects of number; attention to dimensions of number, length, and density; and the presence and absence of number conservation. On the basis of performances on the standard test for number conservation, 25 nonconserving kindergarteners, 34 conserving…