An elementary arithmetic workbook in whole numbers for speakers of Hmong has an introductory section and a variety of exercises in conceptualizing, writing, spelling, and sequencing numbers from 0 to 999. (MSE)

The history of the two numbers e and pi is traced, and the relationship of thesetwo numbers to the history and development of mathematics is indicated. (DT)

The representation of a binary number by a row of people sitting or standing by their chairs is reviewed. The representation is extended into a counting activity and then directions are given for combining the counters into an automatic "machine" which will add, subtract, multiply, and divide. (DT)

Not all of mathematics can be taught in formal textbooks. Just as an English course can be enlivened by selections from literature, a mathematics course can gain depth and interest from special readings. This volume can be read in conjunction with the SMSG First Course in Algebra or Intermediate Mathematics. It introduces the subject of number…

This supplement was written for students who are especially good in mathematics and who have a lively interest in the subject. It is suggested that the supplement be read with pencil and paper in hand. All questions should be considered and answered, if possible, when they occur. A casual reading of the supplement is, in most cases, unprofitable.…

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

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)…

This study traces the development of nondecimal numeration from the 16th century to the present. The first six chapters detail the contributions of mathematicians as well as people from other fields. Applications to computers are covered in one chapter, while another chapter discusses the coverage of numeration systems in college textbooks for…