In evaluating the two-course sequence in mathematics for prospective elementary teachers at the University of Texas in Austin, a study was included to determine whether there was a significant gain in knowledge of selected recommended mathematical content by students completing the course. A 46-item multiple choice test was developed and used as a…

This publication is part of a series of guides written by Pennsylvania's Department of Public Instruction and is designed to present some of the unifying concepts in mathematics to elementary teachers. This pamphlet discusses the commutative, associative, and closure properties for addition and multiplication of whole numbers, and the distributive…

Summarized are presentations made at a one-day teachers' workshop organized by the Bicultural Socialization Project to discuss the materials to be used in mathematics learning centers in the project classrooms. The first chapter discusses the basic philosophy, whereby pupils are to be encouraged to enjoy the discovery of mathematical relationships…

Behavioral objectives for geometry, algebra, computer mathematics, trigonometry, analytic geometry, calculus, and probability are specified for grades 10 through 12. General objectives are stated for major areas under each topic and are followed by a list of specific objectives for that area. This work was prepared under an ESEA Title III…

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 objective of this study was an attempt to clarify the nature of number conservation with number conservation tasks using variations in length, area, and volume. According to Piagetian theory, conservation is attained successively for number, length, area, and, finally, volume. It was hypothesized that success on the number conservation tasks…

Number activities for use in kindergarten were developed in an attempt to reduce the deficit in numerical experience shown by culturally disadvantaged children upon entry into the first grade. Twelve activities are described with teaching suggestions included. The activities did not undergo formal evaluation. Recommendations are made that the…

Using a great variety of word problems drawn from many contexts can make multiplication and division rules more relevant to the student's needs. (SD)

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)

After considering the mathematical system common to various types of measure, the author argues that instruction needs to reflect the common aspects of measure systems as well as the distinctive attributes of different systems. (SD)

The fraction concept was analyzed to yield 16 subconcepts which are hypothesized to be hierarchically ordered. This ordering was tested using subjects in grades 4 through 6, and 18 of 23 dependencies hypothesized were confirmed. (SD)

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

Similar rectangles are the basis of a set of activities using newspaper. Topics arising include infinite series and Pythagorean theorem. (MP)

Discovering 3 by 3 magic squares, using numbers 1 through 9, is presented as a learning activity on three different levels. (MP)

These worksheets deal with sums of numbers. Students are asked to find the relationship between the last number in the series, the number of addends, and the sum. (MP)