This paper focuses on two likelihood-based indices of person fit, the index "l[subscript z]" and the Snijders's modified index "l[subscript z]*". The first one is commonly used in practical assessment of person fit, although its asymptotic standard normal distribution is not valid when true abilities are replaced by sample…

The "count-by" technique of multiplication was taught to a fourth grade student with learning disabilities. The student learned to count by numbers not typically taught (e.g., fours, sevens, and eights). The method resulted in substantial increases in correct multiplications performed per minute, which were maintained and generalized to…

Describes the basic and exceptional calculation abilities of a calculating prodigy whose performances were investigated in single- and multi-digit number multiplication, numerical comparison, raising of powers, and short-term memory tasks. Shows how his highly efficient long-term memory storage and retrieval processes, knowledge of calculation…

The results of this case study of a 15-year-old dropout indicate the potential usefulness of incorporating process mnemonics, particularly in the form of allegorical characterizations and stories, within mathematical instructional strategies for the learning disabled. (15 references) (JJK)

Examines the idea that the arithmetic calculator can act as a cognitive tool, supporting the amplification or reorganization of systems of thought. Examples were found in which use of the calculator helped pupils work with unusual problem representations and adapt solution strategies in which they focused on planning and monitoring computations…

Details ab initio crystal orbital calculations using all-trans-polyethylene as a model. Describes calculations based on various forms of translational symmetry. Compares these calculations with ab initio molecular orbital calculations discussed in a preceding article. Discusses three major approximations made in the crystal case. (CW)

In this article, the third part of a series, the results of ab initio polymer calculations presented in part 2 are discussed. The electronic structure of polymers, symmetry properties of band structure, and generalizations are presented. (CW)

This article describes the instructional efforts and success of two first grade teachers who cooperated in a year-long subtraction study with a university research team. Performance profiles of students in the experimental and control groups are presented, and implications for teaching are discussed. (PK)

Two major ways to view the numbers to 100 are counting by ones and grouping by tens and ones. Research suggests that early understanding of numbers comes from counting and that place value instruction cannot be hurried. (PK)

Reports the third grade and seventh grade results of the fourth mathematics assessment of the National Assessment of Educational Progress. Summarizes the major results of the performance on number, operations, and word problem items. Some examples of data are given. (PK)

This is a condensed report of a study commissioned by the Minister's Advisory Committee on Student Achievement (MACOSA). The study was designed to provide information about current levels of achievement in mathematics among students in Alberta schools and to provide a data base for future assessments. The test was given to third-, sixth-, ninth-,…

Proposes that teachers should examine the elements of mathematical understandings that precede conservation and one-to-one correspondence and tailor classroom instruction to benefit both conserving and nonconserving students. (PK)