The unit-decade compatibility effect is interpreted to reflect processes of place value integration in two-digit number magnitude comparisons. The current study aimed at elucidating the influence of language properties on the compatibility effect of Arabic two-digit numbers in Austrian, Italian, and Czech first graders. The number word systems of…

"Contemporary Debates in Childhood Education and Development" is a unique resource and reference work that brings together leading international researchers and thinkers, with divergent points of view, to discuss contemporary problems and questions in childhood education and developmental psychology. Through an innovative format whereby leading…

Examines three strands of elementary mathematics--numerals and counting, recording and calculating, and mathematics exploration and play--and provides ways to integrate culture and mathematics experiences in each area. Specific topics include Egyptian methods for multiplication, the abacus, and the words for the numbers 1-10 in seven different…

An imaginary journey to Planet Seven is used to introduce the concept of number systems not based on ten. Activities include making a base 7 chart, performing base 7 addition and subtraction, designing Planet Seven currency, and developing other base systems for other planets. (MT)

Discusses mastery goals and developmental levels of students aged 3-7 for learning numbers in informal situations. (KHR)

Describes the kinds of computational abilities achieved by a class of 4th grade students who were part of a research program for teaching rational numbers. In this program, students build on intuitive understandings of percents and proportions for the development of overall understanding of the number system and are encouraged to invent their own…

A game based on "skittles" can provide practice on basic facts. (SD)

Children enjoy playing a game based on addition module seven. The system can be applied to questions concerning the days of a week. (SD)

Some pedagogical problems in Chinese numeration are described. They involve the teaching and learning of how to speak numerals with fluency in Chinese, using Hindu-Arabic written numbers. An alternative approach which stresses regularity is proposed. (MNS)

Tests for divisibility in bases 2 through 10 are presented. Two strategies used by a group of fourth-year students are described. (MNS)

Mathematical concepts and experiences are recalled and organized in a flow chart format. The power of unifying ideas in mathematics often causes this sequence to be forgotten or assigned less importance than it should be. (SD)

The goal of this study was to describe characteristic stages in the development of children's understanding of place value. Sixty children (15 in each grade, 2 through 5) at 5 elementary schools in Butte County, California, were individually administered 18 tasks designed to reveal their thinking about place value and part-whole relations. On six…

The early use of the distributive law can aid students in learning addition of fractions and provide rapid approaches to computation involving other operations. (SD)

An instructional sequence in which number lines and beads are used to illustrate addition and subtraction of directed numbers is described. (SD)

Describes various aids and activities to help in planning lessons that will encourage the development of sound place value knowledge. Also discusses various instructional strategies to help students avoid problems which may lead to an incomplete or faulty understanding of place value. (JN)