Worksheets for a short unit on magic squares, together with directions for their use and answer keys, are provided. They are suggested for use in grades seven through twelve. (SD)

Children were grouped according to ability to conserve number and then randomly assigned to training on arithmetic concepts or playing a game. The research hypothesis that there would be an interaction effect between conservation and effect of treatment was not confirmed. (SD)

The author presents two approaches she has used successfully as advance organizers for discussion of mathematical induction. These approaches provide examples which can be used in later discussion. (SD)

The author interprets several mathematical concepts as groupings using Piaget's definition. He also discusses (briefly) the implications for primary education. (SD)

This collection of jokes, riddles, and limericks is designed to be used to enliven the presentation of mathematical material by use in the classroom, on the bulletin board, or to add levity to test papers. Chapter topics include: (1) The Classics and Other Stories; (2) Jokes; (3) It Figures; (4) Quickies; (5) Riddles; and (6) In Verse. An index…

This is one of a series that is a collection of translations from the extensive Soviet literature of the past 25 years on research in the psychology of mathematics instruction. It also includes works on methods of teaching mathematics directly influenced by the psychological research. Selected papers and books considered to be of value to the…

This study investigated the effect of initial instruction on the processes children use to solve basic addition and subtraction verbal problems. Prior to instruction and following a 2-month introductory unit on addition and subtraction, 43 first-grade children were individually tested on verbal problems representing different models of addition…

THE PAPER DESCRIBES MORPHOLOGICAL CHARACTERISTICS OF SERBOCROATIAN NUMERALS, PRONOUNS, AND ADJECTIVES (NOUNS ARE DESCRIBED IN PART I). THE FIRST PART OF THE PAPER DISCUSSES AT SOME LENGTH STRESS PATTERNS OCCURRING IN SERBOCROATIAN NOUN PARADIGMS. THE PATTERNS ARE BASED ON THE DESCRIPTION OF STRESS SHIFTS GIVEN IN THE STANDARD TEXTBOOKS. NEXT, THE…

Examined were the effects of varying the number of practice problems in a programed unit on negative bases designed for high school students. A sample of 421 students from grades 9 through 12 was divided into three groups on the basis of amount of mathematics coursework completed. Students were given four pretests (numeration, arithmetic…

This is part two of a two-part SMSG algebra text for ninth-grade students. The text was written for those students whose mathematical talent is underdeveloped. Chapter topics include the real numbers, addition of real numbers, multiplication of real numbers, properties of order, and subtraction and division for real numbers. (MP)

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)…

This mathematics data bank of generic objectives was developed as the major element of an implementation of Comprehensive Achievement Monitoring in the Individualized and Personalized Adult Basic Education Program of the Canadore College (North Bay, Ontario) Continuing Education Division. The bank contains approximately 900 objectives organized…

A 20-task learning hierarchy for subtraction of fractions was deductively derived using Gagne's task analysis. To test this analysis empirically, composite items were written for each level and administered to students in grades 3-6. Test results were analyzed by the Walbesser Technique and Pattern Analysis; the acceptance levels developed by…