A constant time delay procedure was used to teach four adolescents with moderate mental retardation to select lower priced grocery items using an adaptive number line. Students reached criterion, maintained the skill up to 14 weeks after training, and generalized the skill from the classroom to a community grocery store. (Author/DB)

Using the notion of the difference between a number and its cube as a starting point, this article presents a wide range of mathematical activities at varying levels of sophistication utilizing numerical, intuitive, and graphical approaches. (JJK)

Suggests that there is sufficient interest in the changing arrangements of stars in the flag of the United States over the years to introduce a mathematical investigation into the various possible patterns of stars. (Author/JJK)

Introduces the idea of using computer microworlds--interactive software for exploration of specific concepts--for mathematics education, the theme of this issue's articles. Discusses their development and the advantages of their use. Suggests that they can be successfully used for interactive teaching or for interpreting mathematics textbooks,…

After a brief historical account of Leonardo Pisano Fibonacci, some basic results concerning the Fibonacci numbers are developed and proved, and entertaining examples are described. Connections are made between the Fibonacci numbers and the Golden Ratio, biological nature, and other combinatorics examples. (MDH)

Based on a two-tiered epistemological model (preliminary physical concepts and emerging mathematical concepts), studied the construction of number among 91 kindergarten students in France, Canada, and the United States. Subjects' cognitive numerical structures were surprisingly similar despite differences in language and culture. (SV)

A multisensory program using a counting technique was effective in teaching math skills to three elementary students with mild disabilities. Results showed significant gains in acquisition of target skills as well as maintenance and generalization to novel math problems. (Author/DB)

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…

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…

I discuss an instructional model that I have used in my number theory classes. Facets of the model include using small group work and whole class discussion, having students generate examples and counterexamples, and giving students the opportunity to write proofs and make conjectures in class. The model is designed to actively engage students in…