Two related sequences of definite integrals are considered. By mixing hand-work, computer algebra system assistance and websurfing, fine connections can be studied between integrals and a couple of interesting sequences of integers. (Contains 4 tables.)

A functional magnetic resonance imaging (fMRI) study was performed on a 4-year-old girl with autism. While sedated, she listened to three utterances (numbers, hello, her own first name) played through headphones. Based on analyses of the fMRI data, the amount of total brain activation varied with the content of the utterance. The greatest volume…

Children differ in how much they spontaneously pay attention to quantitative aspects of their natural environment. We studied how this spontaneous tendency to focus on numerosity (SFON) is related to subitizing-based enumeration and verbal and object counting skills. In this exploratory study, children were tested individually at the age of 4-5…

A principle of second-order isomorphism asserts that the functional similarities among internal representations parallel the functional similarities among the external objects to which those representations correspond. Research was conducted in accordance with this principle. (Author/BJG)

Three elementary-school students were exposed to Fractions 1, an instructional program for fraction problem-solving skills based on "direct instruction" principles. Fraction performance increases could reasonably be attributed to the instructional program. Improvements were durable across a short follow-up period and transfer occurred to similiar…

This textbook is a second reader for Catholic children. The contents include age-appropriate stories and passages on the importance of emphasis, consonant sounds, marked letters, and punctuation marks. A list of Roman and Arabic numbers is also included.

Three proofs for the problem show there exist irrational numbers a and b such that a to the b power is rational'' are presented and discussed. (DT)