This article, a reprint from 1930, offers an interesting perspective on the importance of diagnostic and prescriptive teaching as well as the role of drill and the use of objectives in mathematics. (Author/MK)

An experimental study was conducted of 2 different approaches to the correction of consistent subtraction errors in 6 students aged 12-13. Tentative findings demonstrate the superiority of the old way/new way method compared to use of Multibase Arithmetic Blocks and place value charts. (JDD)

Why a computer error occurred is considered by analyzing the binary system and decimal fractions. How the computer stores numbers is then described. Knowledge of the mathematics behind computer operation is important if one wishes to understand and have confidence in the results of computer calculations. (MNS)

An approach to teaching factors and terms is offered that builds directly on students' knowledge of arithmetic. Errors arising from factor and term confusions are noted, followed by the pedagogical strategy of exploration, invention, and discovery. (MNS)

Errant mathematical views are widely found among teachers, their students, and authors of applied mathematics texts. Suggests classroom experimentation, both to confirm the occurrence of these errors, and to apply the appropriate corrective teaching. (Author/ASK)

We present a summary of a study carried out with students of the first year of Bachillerato (the first of two pre-university non-obligatory secondary education courses in Spain) to determine and analyse some of their errors and difficulties in learning inequalities with the aim of improving the teaching-learning process of this topic. The study…

A computer program is given which will generate a list of descriptions of the items to which a student has responded incorrectly on the Keymath Diagnostic Arithmetic Test. It is designed for the TRS-80, Model III, with two disk drives. The documentation lists all required materials, describes the six options and how to use them, indicates the…

Structuring the algebra course to provide a link between a student's existing knowledge and the new topic being presented is discussed. Developing relationships among topics is suggested through examples describing a mathematical problem and effective teaching approaches. Stress is placed on teachers reflecting on mistakes pupils are likely to…

Research recurrently indicates that children who have difficulty with arithmetic often use systematic routines that yield wrong answers. Recent research has focused less on identifying the most common errors among groups of children and more on analyzing individual children's errors. This paper considers the source of systematic errors in…

This is one of a series that is a collection of translations from the extensive Soviet literature of the past 25 years on research in the psychology of mathematics instruction. It also includes works on methods of teaching mathematics directly influenced by the psychological research. Selected papers and books considered to be of value to the…

In this study, 35 students in two sections of a second remedial mathematics course for technical majors were given lectures with and without intentional errors. Achievement in the non-error group was higher, but evaluation scores for teachers making errors were higher. (MNS)

The use of the microcomputer in an interactive graphics mode offers exciting possibilities for mathematics and science education. Errors made with graphs are used to introduce ideas of what should be taught. Both understanding equations and graphing utilities are stressed. (MNS)

A lesson in editing was learned from a study of errors made on a national mathematics test in Israel. Analysis indicated that the errors were often caused by careless printing of the test, misleading figures, poor designations, or ambiguous phrasing. (MNS)

Many worthwhile mathematical activities can be generated by an overgeneralization. Some conjectures and their verification are described, with some exploration of historical procedures. (MNS)

A set of brief reflections about different aspects of mathematical errors and their roles in education is given. The nature and variety of errors and their positive use in learning mathematics are highlighted. (MNS)