Designed for the student who has acquired basic computational skills with non-negative rational numbers, this guidebook delineates minimum course content to further develop students' computational skills with whole numbers. Place value and estimation are also covered. General goals, performance objectives, a course outline, suggested teaching…

Procrustes rotation involves fitting a factor pattern matrix to a specified target matrix in factor analysis. These rotations are useful for the investigator who wishes to see how well his data can be made to fit a hypothesized factor pattern matrix. The mathematical problems involved in these transformations are outlined and computer algorithms…

To fully develop a teacher cost model, it is essential to be able to forecast the number of teachers that leave the experience category distribution -- not only the total number that leave, but also the number that leave from each category and experience level within the distribution. Similarly, it is essential to be able to forecast, to the same…

Evaluation sheets and developmental checklists, prepared by three special education departments, are provided to facilitate continuous measurement of student progress in elementary school mathematics. One hundred forty-three objectives are given, and each is followed by a continuum-oriented set of worksheet-type pages on mathematics skills. The…

The author describes a technique for teaching various aspects of the subtraction algorithm (e.g., regrouping, borrowing) by relating them to the use of money. (SD)

The algorithms for finding cube roots is approached by slicing a cube. (SD)

Children are asked to describe the subtraction process or to describe a context in which subtraction may be used. (JLH)

Presents the historical development of perceptions and applications of the exponential law, tracing it from its ancient origins until the year 1900. Shows that many concepts such as mean life and half life and their relationships to differential equations were known long before their application to nuclear radioactivity. (GA)

An algorithm is given for the addition and subtraction of fractions based on dividing the sum of diagonal numerator and denominator products by the product of the denominators. As an explanation of the teaching method, activities used in teaching are demonstrated. (MN)

Helping teachers to build a strong bridge from concrete experiences to algorithms is the focus. A detailed sequence of activities is described. (MN)

Instructional sequences are presented for teaching two-digit multiplication and division with one- and two-digit divisors using a base-oriented approach. (MN)

A teaching sequence provides a guide to instruction on initial concepts of fractions, equivalent fractions, and addition with fractions. (MN)

How teachers can diagnose difficulties with computation is discussed, with emphasis on how to develop diagnostic tests. How to use such tests to plan remediation is considered in terms of several types of errors. (MN)

The authors attempt to determine the effects of the use of direct and "combinations of tens" methods of two column-addition, ability, and grade level as factors in column addition efficiency. (MN)

This is a special issue examining the potential of cybernetics in educational technology. Articles discuss: cybernetic methods, algorithms, feedback learning theory, a structural approach to behavioral objectives and criterion-referenced testing, task specifications and diagnosis, teacher-child interaction, educational development, teaching…