The four sections of this monograph review current research related to mathematics education from the points of view of studies concerning (1) the curriculum, (2) the child, (3) the learning environment, and (4) teaching methods. Topics addressed in part one include the sources of mathematics curricula, the curricular validity of "new…

Discussion of Gal'perin's theory of step-by-step formation of mental actions includes descriptions of experimental applications of this activity approach to teaching foreign languages. Constructing and understanding sentences are discussed, and activities for the construction of a sentence and the orientation base of action (OBA) for German,…

In the past, algorithm animation has yielded mixed results as a teaching tool in computer science. This article presents a study in which undergraduates at George Washington University (DC) viewed algorithm animations and then programmed the same algorithms. Results suggest that combing the two is an effective way to use animation and to produce…

Describes teaching strategies in which children are encouraged to develop computational procedures that are meaningful to them. Authors state that classroom observation reveals most primary students to be capable of developing their own accurate solution procedures for multi-digit addition and subtraction as well as for simple multiplication and…

Discussed is the effectiveness of using analogies in chemistry instruction. Students' mathematics anxiety, spatial visualization skill, and proportional reasoning ability were found to be important aptitudes for determining chemistry achievement. The relationship between analogs and algorithms is described. (KR)

Studies whether students' stated preferences for flowcharts or pseudocodes match their actual behaviors. Provides a review of the literature on flowchart utility. Reports that students preferred flowcharts to pseudocodes. Lists an example of both a flowchart and pseudocode. (MVL)

The central objective of this study was to determine the effects of formal training in the use and types of questions and in the nature and use of algorithms on middle school students' achievement in economic geography. Subjects were 190 eighth grade students in a large metropolitan school district. Three experimental groups received either: (1)…

This is one of a series of monographs developed by teachers in schools near Leeds, England. This volume focuses on recommended methods for teaching operations with whole numbers, fractions, decimals, and percentages. For children to attain confidence in dealing with arithmetical processes, it is considered important that they not be confused by…

Discusses some of the difficulties involved with chemistry laboratory experiences and some laboratory manuals. Cites studies that indicate that part of the difficulty can be attributed to constraints relating to the short-term memory of the operational information and the assumption that students have a certain level of knowledge. (TW)

Described is a study that used LOGO to improve the proportional reasoning ability of students enrolled in mathematics classes for students poorly prepared for college-level mathematics. Included are the methodology, procedures for using logo, and a discussion of the results. (KR)

This study compared the efficiency (time) and accuracy of two representations of instructional algorithms--list versus flow chart--for the task of using indexes to search for document numbers in the U.S. Documents Monthly Catalog. Participants were 55 undergraduates and 5 adults at the Virginia Military Institute. Two sets (flow charts and lists)…

Traditional methods of teaching addition include algorithms that involve right-to-left procedures. This article describes efficient procedures for left-to-right addition and subtraction involving computation and computational estimation that reflect children's natural behaviors observed during activities with unifix cubes. (MDH)

The educational background of students termed "limited English proficient" (LEP) is discussed, with consideration of how that background might affect the LEP student's learning of arithmetic. Reasons why knowledge of background is important are first noted. Then examples of different ways to read and write numerals and differing subtraction and…

This two-volume teacher's guide is to be used with a second-semester, sixth-grade mathematics program. The manner of presentation and the pedagogical ideas and tools are based on the works of Georges and Frederique Papy. They are recognized as having introduced colored arrow drawings ("papygrams") and models of our numeration system (the…

Notes that almost all computer engineering textbooks present algorithms using only verbal methods. Poses that engineering students' ability to handle graphic representation is crucial yet information is presented verbally. Summarizes the results of 12 replications on learner preference for graphic or verbal algorithmic techniques. (MVL)