This research focused on preservice elementary teachers' understanding and reconstruction of understanding about multiplication in the domain of fractions. At the start of the study, 44% of the 50 preservice teachers studied reported that they had a method for reasoning about multiplication with fractions, and 28% were able to describe a situation…

This computer software program helps to make classroom worksheets, take home assignments, and school mathematics tests easy to design and manufacture. The accompanying printed teaching guide provides technical information for setting up and using the program, along with sample worksheets and instructions on how to create them using the software.…

Equivalent fractions are usually introduced in fourth grade and reviewed repeatedly in the subsequent grades as the four arithmetical operations are taught. In spite of this repeated instruction, the results are disappointing. This paper reviews some data from previous research documenting the difficulty of equivalent fractions, explains this…

A method of teaching computation of fractions with visual aids is described. (SD)

An algorithm is first defined by an example of making pancakes and then through discussion of how computers operate. The understanding that human beings bring to a task is contrasted with this algorithmic processing. In the second section, the question of understanding is related to learning algorithmic performance, with counting used as the…

Chapters 11 through 14 of a 14-chapter, three-volume work on arithmetical applications are contained in this document. Each chapter details the "use classes" of one broad arithmetical concept. (A "use class" of a concept is a set of examples of real world uses of the concept which share a common structure). Each chapter…

A case is given against teaching division of fractional numbers. Types of problems usually solved by division are solved by methods involving only multiplication. (JP)

These worksheets relate to the 1973-74 official North Carolina Department of Transportation Highway Map. Topics covered include: map reading, fractions, percentage, estimating, charts, and rounding. An answer key is included. (MP)

This teacher guide is part of the materials prepared for an individualized program for ninth-grade algebra and basic mathematics students. Materials written for the program are to be used with audiovisual lessons recorded on tape cassettes. For an evaluation of the program, see ED 086 545. In this guide, the teacher is provided with objectives for…

This study was concerned with identification of elementary school grade levels appropriate for teaching various phases of the metric system. The same unit was taught to 201 elementary school children in grades three through six. Pretests and posttests were used to assess progress made by students in developing skills and understandings related to…

This workbook along with a set of transparent 2" x 3" cards was developed for use with underachieving seventh and eighth grade boys. It is designed for a 14 week term or less. The format uses the cards extensively to learn about fractions and operations with fractions. The cards have circles etched on them and the circles are divided into varying…

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 author cites observations of his own children that reflect their concept of fractions and analyzes their conduct in each case. (MN)

A few examples, relating specifically to fractions, of the many possible intriguing and substantial ideas to be found in remedial mathematics are given. (MN)

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)