Provides an equivalent at the secondary level to the work of Liping Ma at the elementary level. Presents a better understanding of the conceptual knowledge of school mathematics held by prospective secondary teachers along with examples of the sorts of knowledge needed to teach for understanding within the domain of integer subtraction. (Author/MM)

Two mnemonic acronyms can help learning-disabled children remember to complete the necessary steps for regrouping in addition and subtraction. (DB)

Presents materials and methods that have been found to be effective in teaching addition and subtraction in specialized schools for the speech- and hearing-impaired. Concludes that there has been considerable success with students learning necessary mathematical skills by completing activities. Contains 11 references. (ASK)

Discusses how students construct their own understanding of mathematics as they discover and then learn it in class. Presents Krystal's method to subtract mixed numbers that her peers adopt and name for her. (ASK)

Pupils' mistakes, if suitably analysed, may give useful suggestions for improving the teaching/learning process of mathematics. We present here the main issues of an investigation on a population of 732 Italian pupils (9--12 years old), addressed to determine the typology of errors in performing written subtraction. We compared our results with…

The purpose of this descriptive study was to develop a computational fluency performance profile of 224 high school (Grades 9-12) students with mathematics disabilities (MD). Computational fluency performance was examined by grade-level expectancy (Grades 2-6) and skill area (whole numbers: addition, subtraction, multiplication, division;…

A cognitive diagnostic model uses information from educational experts to describe the relationships between item performances and posited proficiencies. When the cognitive relationships can be described using a fully Bayesian model, Bayesian model checking procedures become available. Checking models tied to cognitive theory of the domains…

This article describes a multisensory method for teaching students how to multiply and divide as well as add and subtract integers. The author uses sidewalk chalk and the underlying concept of integers to physically and mentally engage students in understanding the concepts of integers, making connections, and developing computational fluency.…

The notion of buggy procedures has played an important role in recent cognitive models of mathematical skills. Some earlier work on student modeling used artificial intelligence methods to automatically construct buggy models of student behavior. An alternate approach, proposed here, draws on insights from the rapidly developing field of machine…

The slow learner is defined as a student whose IQ falls between 75 and 90 or who ranks below the thirtieth percentile of the student population in mathematical achievement. His characteristics and special needs are discussed in some detail. A presentation of selected methods and techniques for instructing slow learners to add and subtract…

In the winter of 1965, an experimental course in Elementary Number Theory was presented to a 6th grade class in the Hosmer School, Watertown, Massachusetts. Prior to the introduction of the present material, students had been exposed in class to such topics from the University of Illinois Arithmetic Project as lattices, number lines, frame…

A six-step method of teaching subtraction by renaming is presented, using money as the learning vehicle. (MP)

Directions are given for preparing a puzzle that may be used to provide practice in computation. (MP)

The Virginia State Supervisor for Learning Disabilities interviews Rose Sinicrope concerning the development of her finger subtraction strategy for use with learning-disabled students. Several examples of subtraction problems are illustrated to demonstrate the finger counting method, and this method is compared to the strategies of Chisanbop and…

Previous studies indicate that many early elementary school children have the misconception that whole number subtraction is a commutative operation. The degree and character of this subtraction error was investigated in this longitudinal study. Results obtained from three groups of students with different number abilities provided further…