Three worksheets for use in studying triangular, square, and pentagonal numbers are presented. (SD)

Artistic configurations can be built using a rectangular array of points and number concepts or principles. (SD)

The results of the first report on the mathematical abilities of 13 and 17 year-olds by the National Assessment of Education Progress (NAEP) are summarized and interpreted. A similar article for elementary school mathematics appears in SE 514 769. (SD) Aspect of National Assessment (NAEP) dealt with in this document: Results (Interpretation).

Investigations which employ a search for a number pattern as an approach to solving a geometry problem are discussed. Four problems are presented, with suggestions for testing simple cases, discussion questions, organizing information, and conclusions to be drawn. (MNS)

An algebra class asked: What is the smallest positive integer that is divisible by each integer less than or equal to ten? Students discovered factorials and a solution. Verifying the solution produced a series of numbers. Successive differences between entries, triangular arrays, and successive quotients finally led to Pascal's triangle. (KM)

This is one in a series of publications designed for parents and teachers to help children acquire developmentally appropriate basic educational skills at home and in school. Topics included are: (1) "What is math?" explaining mathematical concepts such as number, measurement, space, and time; (2) "How do children learn about…

This is one in a series of publications designed for parents and teachers to help children acquire developmentally appropriate basic educational skills at home and in school. Topics included are: (1) "What is science?"; (2) "Why is science important?"; (3) "How children develop science skills?"; (4) "You can help…

This booklet was written to provide role models for young people. Included are stories of 13 interesting women who have worked in careers that require substantial training in mathematics, with the hope of encouraging students to aspire to careers in fields using mathematics. Both contemporary and noncontemporary women are included to provide…

An algorithm is first defined by an example of making pancakes and then through discussion of how computers operate. The understanding that human beings bring to a task is contrasted with this algorithmic processing. In the second section, the question of understanding is related to learning algorithmic performance, with counting used as the…

Recognizing that rote drill and practice (rehearsal) has been replaced with game-like teaching formats as a tool for memorization, a study compared the effectiveness of the two methods to teach eight preschoolers to recite their home telephone numbers. In six sessions, children either rehearsed their phone numbers or used small props and rhyming…

This document contains 15 research papers presented at the Fourth and Fifth Annual Conferences of the Research Council for Diagnostic and Prescriptive Mathematics. The papers are organized into four sections. In part I, four position papers by Romberg, Engelhardt, Ashlock, and Heddens reflect research ideas which underlie the Council. Part II…

This publication is intended to serve as a resource for teachers who are responsible for selecting textbooks for general mathematics courses in high school. Contained are 18 factual textbook reviews. (The reviews do not contain assessments about the quality of the books). Each review includes four parts. Part 1 contains information furnished by…

Matematica 1 is the first book of a mathematics program in Portuguese "designed for first graders." The book contains 15 chapters dealing with: sets, numeration, place value, numbers from 0 through 99, addition and subtraction, geometric shapes, measurements (money, time, length), fractions, word problems, and commutative and associative…

This paper presents an overview of the Comprehensive School Mathematics Program (CSMP) elementary school mathematics curriculum. The philosophy behind the program, content goals, and teaching strategies are briefly discussed. Then ways in which the program develops facility in mathematics are described in discussions of the language of arrows, in…

Examines the prediction that the ordinal property of natural number symbols is more easily learned by preschoolers than the cardinal property of natural number symbols. (Author/ED)