Simple connections between prime numbers, methods for obtaining prime numbers, characteristics of prime numbers, and the relationship of primes to high order numbers are discussed. (CW)

Six-year-olds from Switzerland (n=30) and Argentina (15 middle- and 15 lower-class) were tested for understanding of inequalities between multidigit numbers and place value. Students could explain size relationships better than place value. The three types of children performed differently. (Contains 30 references.) (JAF)

Discusses the study of identification codes and check-digit schemes as a way to show students a practical application of mathematics and introduce them to coding theory. Examples include postal service money orders, parcel tracking numbers, ISBN codes, bank identification numbers, and UPC codes. (MKR)

Two types of activities help parents stimulate children's numerical thinking. Describes one type that involves highlighting everyday situations and another that includes group games. Presents a selection of games for children and parents that encourage children to develop number relationships. (ASK)

Describes computer activities that offer middle school students opportunities to cooperatively explore problem situations and connect mathematical understandings to each other, to their experiences, and to other disciplines. Contains 19 references. (Author/ASK)

Presents a problem that requires solving a card problem by exploring patterns that will lead to a logical solution. Involves students in developing and analyzing their own algorithms as well as discussing their reasoning with peers. (ASK)

Connectionist accounts of inflectional morphology have focused on domain of English past tense in which default process (add/ed) reflects process of suffixation adopted by majority of forms in the language. Arabic plural system is one where a minority default process operates. The study contrasts two types of default process that might lead to a…

Describes learning activities in which fifth and sixth graders used spreadsheets to explore the shapes of numbers. Discusses creating spatial patterns with a computer draw program; examining number patterns in a spreadsheet; comparing square and rectangular numbers; and creating the multiplication times table. (AEF)

A study examined understanding of number line concepts by 4th grade culturally and linguistically diverse (CLD) students (n=30), students with learning disabilities (n=23), and 21 controls. CLD students with disabilities demonstrated difficulty due to several factors beyond lack of language competence, including failure to apply number lines to…

Analyzes visual and symbolic strategies developed by students to express generalizations of number patterns and connections between them. Compares approaches adopted by students working through parallel task sequences which integrate different computer tools in different ways. Makes suggestions as to how students might be encouraged to exploit…

Describes computer software called Shemesh designed for learning equivalence-classes of fractions. Describes interviews with fifth-grade students who used the software in their learning activities. Evidence indicates initial actual development of desired mathematical concepts. (Author/MM)

The framework of Tharp and Gallimore (1988) was adapted to form a ZPD (Zone of Proximal Development) Model of Mathematical Proficiency that identifies two interacting kinds of learning activities: instructional conversations that assist understanding and practice that develops fluency. A Class Learning Path was conceptualized as a classroom path…

One of the most interesting and important proofs in the history of mathematics is the Pythagorean school's proof of the "irrationality" of the square root of 2. After a brief look at G. H. Hardy (1941) thoughts regarding it, two versions of the classic Pythagorean proof are examined and discussed in this article, one written by an American…

This study is aimed at the mechanisms used by students with an intellectual disability in the counting process. The assessment of the counting process is carried out through experimental tests inspired by the basic principles of Gelman and Gallistel, namely one-to-one, stable order, cardinality, abstraction and order irrelevance. This is a…

When we consider the gap between mathematics at elementary and secondary levels, and given the logical nature of mathematics at the latter level, it can be seen as important that the aspects of children's logical development in the upper grades in elementary school be clarified. In this study we focus on the teaching and learning of "division with…