Noting that current research on childrens mathematical development does not adequately detail how toddlers represent small numbers and the role that number words play in the development of number understanding, this study used a combination of methods to examine mathematical development in one toddler. Underlying the study was an Integrated Model…

Seventh and eighth grade students identified as holding an incomplete fraction conception of decimals were tested on related fraction knowledge. Most of these students (78%) had a problem in coordinating the size of the parts and the number of parts in comparing fractions. These students underwent several instructional sessions. Half of them…

This book features a collection of 54 decimal number puzzles designed to provide experiences in problem solving and mathematical reasoning for middle and high school students. Each puzzle consists of a sequence of 10 clues about an unknown decimal number. The clues, when revealed one at a time, lead students through deductive reasoning to the…

This study involved examining the nature and scope of numeracy, distilling out the important features, and representing these features in sample numeracy materials. The paper examines the precise nature of numeracy and its scope in enhancing the educational experiences of adult learners. It is intended to discuss the characteristics of the adult…

This paper describes an action research project that investigated issues concerning the teaching and learning of numeracy in the middle years. Building on research concerning the middle years of schooling, and their own experience of teaching mathematics in years 5-8, a group of teachers, drawn from four schools, trialed strategies intended to…

This report describes a classroom observation study in Korean primary mathematics classrooms. What was discovered in Korean classrooms was children, through higher level questioning, were being led to conceptualize the constructs and operations. The textbook was focused on the concepts in a concise, coherent and systematic manner similar to what…

This document presents information on open learning environments in Adult Basic Education in The Netherlands. It focuses on the role of teacher, tutorial, progress, and evaluation methods. Several task groups address the four dimensions in a learning environment: accommodation, time, infrastructural, and social psychological. Through independent…

Children today are very different from children of even five years ago. More and more children are recognized as having learning difficulties, and their self-esteem is more fragile than ever. Children used to TVs, VCRs, cellular phones, computers, and Gameboys demand high-interest activities rather than the "skill and drill" methods of a decade…

Discusses the importance of experiences with classification and seriation in aiding children to understand the concept of number. (GB)

The derivation of a method to drive the general term of a sequence is presented. The difference sequences and binomial coefficents are used in the derivation. An application of this method is made to solve Polya's problems concerned with dividing space in regions by a given number of planes. (JP)