Introducing an approach to detailed assessment involving videotaping clinical interviews, the authors highlight strengths of this approach for understanding children's thinking, informing instruction, and furthering professional learning. (Contains 4 figures.)

Surprisingly little is known about the extent of children's knowledge about number beyond their ability to recite, read and write numbers and count quantities of objects. There is little information on the extent to which children are aware of how number is used in their everyday environment or of how much they gain from such early exposure. The…

This article describes how sixth-grade students developed concrete models to solve division of fractions story problems. Students developed separate two-step procedures to solve measurement and partitive problems, drawing on invented procedures for division of whole numbers. Errors also tended to be specific to the type of division problem…

We review significant empirical studies of the arithmetic abilities of children with dyslexia. These studies suggest that the academic impairments of children with dyslexia are not limited to reading and spelling, but also include aspects of mathematics. A consistent finding across a number of studies is that children with dyslexia have difficulty…

This textbook is an arithmetic exercise book. It is the first in a series of five volumes and contains 45 exercises with problems to solve.

This textbook is an arithmetic exercise book. It is the second in a series of five volumes and contains 49 exercises with problems to solve. [For "Chambers's Practical Concentric Arithmetics: Book I," see ED623160.]

This textbook is an arithmetic exercise book. It is the third in a series of five volumes and contains 48 exercises with problems to solve. [For "Chambers's Practical Concentric Arithmetics: Book II," see ED623161.]

This textbook is an arithmetic exercise book. It is the fourth in a series of five volumes and contains 59 exercises with problems to solve. [For "Chambers's Practical Concentric Arithmetics: Book III," see ED623162.]

This textbook is an arithmetic exercise book. It is the fifth in a series of five volumes and contains 69 exercises with problems to solve. [For "Chambers's Practical Concentric Arithmetics: Book IV," see ED623163.]

The impact of training nine first- and second-grade children to use a self-instruction regimen (overt verbalization of self-instructions) and/or an accuracy regimen was investigated. Children improved dramatically in academic accuracy subsequent to self-instructional training regardless of whether accuracy or self-instruction use were reinforced.…

The purpose of this paper is to offer three alternatives to patterns or visualization used to justify division of fraction "algorithm" invert and multiply". The three main approaches are historical, similar denominators and algebraic, that teachers could use to justify the standard algorithm of division of fraction. The historical approach uses…

Reading and number readiness activities for use in teaching children are given. (DB)