A brief biography of Pythagoras, including discussions of his contributions to philosophy and mathematics, is presented. (CR)

Compares one study in which 5-year-olds and another in which adults quantified random patterns of dots under unlimited exposure duration. Data on operating ranges and rates for subitizing and counting are included. (JMB)

There is offered in this book a year's work in numbers for those boys and girls who know one to ten thoroughly. The book is designed for the children themselves. The practical use of this text in various schools for several years gives evidence by its success that as soon as children can read they should have arithmetics in their hands. [Cover…

This textbook provides the foundation for a course in mathematics covering arithmetic, algebra, geometry, conic sections, and arithmetic of infinites. An appendix on practical gauging is included, as well as a supplement containing the history of logarithms. [This edition was corrected and improved by Samuel Clark.]

Included in this summary of Czech nominal morphology are sections on (1) Relevant Morphophonemics, (2) The Noun, (3) The Adjective (including demonstratives), (4) Prounouns, and (5) Numerals. (JD)

Based on the hypothesis that the construction of number is closely related to the development of logic, this book records a series of experiments investigating classes, relations, and numbers as cognitive domains. The author finds that number is organized, stage after stage, in close connection with the gradual elaboration of systems of inclusions…

The purpose of the study was to determine whether kindergarten children could perform successfully on Piagetian class inclusion tasks and whether their performance was a function of the types of conditions under which the task was presented. Children were asked to classify items based on a physical attribute not visually perceptible (painted…

Three studies were conducted to assess the abstraction processes involved in the development of the ability to associate numerals with sets of the appropriate size (numeration). Experiment 1 examined the sequence of the ability to discriminate relative numerical magnitude, numerical equivalence, Arabic numerals, absolute size of a set, and…

GRADES OR AGES; Kindergarten. SUBJECT MATTER: Mathematics. ORGANIZATION AND PHYSICAL APPEARANCE: The guide has seven sections: 1) emphasis in mathematics; 2) three approaches--use of number in daily activities and content areas, manipulative materials and mathematically structured materials, and structuring special activities and/or problems; 3)…

The strategy of defining operations by generating two-dimensional number sequences is described. (MP)