This article explores how conceptualization of absolute value can start long before it is introduced. The manner in which absolute value is introduced to students in middle school has far-reaching consequences for their future mathematical understanding. It begins to lay the foundation for students' understanding of algebra, which can change…

Current neurocognitive theories of number processing [Dehaene, S., Piazza, M., Pinel, P., & Cohen, L. (2003). Three parietal circuits for number processing. "Cognitive Neuropsychology," 20, 487-506] state that mathematical performance is made possible by two functionally and anatomically distinct subsystems of number processing: a verbal system…

Much research has pointed to the importance of pretend play as a facilitator of literacy development. However, few studies have investigated the corresponding role of sociodramatic play in mathematical development. This exploratory naturalistic study examined the numerate behaviors that occurred during spontaneous pretend play in a preschool…

This study tests the hypothesis that dyslexia and dyscalculia are associated with two largely independent cognitive deficits, namely a phonological deficit in the case of dyslexia and a deficit in the number module in the case of dyscalculia. In four groups of 8- to 10-year-olds (42 control, 21 dyslexic, 20 dyscalculic, and 26…

The textbook is intended for students who know the number from one to ten. The purpose of the textbook is to conform numbers in their facts and principles to the usual processes and powers and interests of children's minds. The graded reader has opened the way for the graded arithmetic. Grading all books is part and parcel of the new education,…

The purpose of this book is twofold: to supply the teacher with material for class instruction; and to provide a text-book for children to study as soon as they know how to read. The course herein begins with the number ten and proceeds by hundreds and thousands to one million, teaches the elementary facts of fractions and parts of numbers,…

This textbook is third in a series of arithmetic books that apply the principles discovered by the psychology of learning, by experimental education, and by the observation of successful school practice, to the teaching of arithmetic. The general course, which ends on page 241, is followed by exercises in understanding and using tables and an…

The relationship between automatization ability (the tendency for repetitive routine aspects of behavior to become so overlearned that a minimum of conscious effort and attention is necessary for rapid efficient execution), as measured by the Rapid Automatic Naming (RAN) Test, and proficiency in arithmetic basic fact computation was investigated…

THIS IS AN ENGLISH TRANSLATION OF A RUSSIAN TEXTBOOK ON FIRST-GRADE ARITHMETIC COMPLETE WITH GRAPHS, PICTURES, PROBLEMS, AND LESSONS. ADDITION, SUBTRACTION, MULTIPLICATION, AND DIVISION APPEAR IN 892 PROBLEMS. THE THREE SECTIONS ARE ENTITLED "THE FIRST TEN,""THE SECOND TEN," AND "THE FIRST HUNDRED." THIS TRANSLATION…

THESE WORKBOOKS, WHICH ARE USED IN THE ADULT BASIC EDUCATION PROGRAM IN DANBURY, CONNECTICUT, PROVIDE TEACHING MATERIALS AND DRILL EXERCISES IN MULTIPLICATION. PART I CONTAINS MULTIPLICATION TABLES, PROBLEMS, AND DRILL INVOLVING THE NUMERALS TWO THROUGH NINE. PART II CONTAINS PROBLEMS AND DRILL EXERCISES USING THE NUMERALS TEN TO TWELVE, NUMBERS…

Described is the use by blind persons of the Cranmer abacus, a computational device adapted from the Japanese abacus. Noted is the lack of carefully controlled research on its use. A comparison of calculation by abacus and by paper and pencil is said to indicate that the use of such mechanical devices does not give the blind competitor an undue…

Effects of several logical memory and semantic variables on verbal and math problem-solving performances of 48 mildly retarded adolescents were assessed. Results revealed that Ss' overall problem-solving performance was inferior to that of nonretarded fourth graders in spite of comparable performance on a computational screening test. (Author/CL)