Discusses how student errors can be utilized to understand the nature of the conceptions that underlie students' mathematical activity. Looks at why errors are made in mathematics, how teachers and students perceive errors, and how to use errors in the classroom. (MDH)

Discusses the frequent misconception displayed by students that chromosome structure is a function of chromosome number or ploidy. Provides detailed analyses of the evidence concerning the prevalence of this ploidy/structure misconception among students of introductory genetics and the potential sources for inaccurate communication that it can…

Typically, the mathematical properties concerning the golden ratio are stated correctly, but much of what is presented with respect to the golden ratio in art, architecture, literature, and aesthetics is false or seriously misleading. Discussed here are some of the most commonly repeated misconceptions promulgated, particularly within mathematics…

To determine how middle school students cope with the demands of arithmetic word problems, 140 eighth graders (67 males and 73 females) had to solve problems modeled after those of the National Assessment of Educational Progress. Extraneous information and extra steps reduce the accuracy of students' word problem solutions. (SLD)

Two key assumptions of conventional test design--the compartmentalization of knowledge and the decontextualization of knowing--are false. Because competent performance requires both context and judgment, it is senseless to test for mastery as an unvarying response to unambiguous stimuli. Test-makers must link their tests to the tasks, contexts,…

The errors and strategies made by students who consistently use the incorrect-addition strategy on "hard" ratio tasks were investigated. The characteristics of these "adders," such as awareness of noninteger multiples, the use of fractions and decimals, awareness of both within and between ratios, and distinguishing nonratio…

Results of a systematic investigation into university students' (n=236) misunderstandings of d.c. simple circuit operations are reported. These results provide evidence of various misconceptions present before and after teaching the following topics: a battery as a source of constant current; the functional relation expressed by Ohm's law; power…

The consistency, if any, with which force concepts are used by individual students in different, but closely related, contexts was investigated. A total of 534 university and high school students were tested to elicit their beliefs about the forces acting on various objects. Students' beliefs about the forces acting on objects at rest and in…

It is difficult for students to unlearn misconceptions that have been unknowingly reinforced by teachers. The examples "multiplication makes bigger,""pi equals 22/7," and the use of counter examples to demonstrate the numerical property of closure are discussed as potential areas where misconceptions are fostered. (MDH)

Debunks eight misconceptions concerning U.S.'s alleged "lavish" spending on education in comparison to other countries. The share-of-national-income approach and measures of per pupil spending are frequently misinterpreted and often exclude education need and education resource cost. Nations with an expensive, highly productive labor…

Reviews research indicating that students' cognitive models hold random events to be equiprobable Examined 87 students between the ages of 15 and 17 to determine whether masking a random event using geometric figures would affect the students' view of the event as equiprobable. Results indicated that masking overcame the equiprobable bias of the…

Discusses geometrical reasoning in the framework of the theory of Figural Concepts to highlight the interaction between the figural and conceptual components of geometrical concepts. Examples of students' difficulties and errors in geometrical reasoning are interpreted according to the internal tension that appears in figural concepts resulting…

Critiques Nicholas Lemann's recent book on the 1940-70 Black migration from the South to the urban North, particularly the thesis that the modern-day Black urban underclass is composed mainly of ex-sharecroppers and their descendants. Traces the theory's political history and discusses evidence that many Black migrants achieved relative success.…

Argues that entertainment media, especially feature films, have a powerful impact in shaping knowledge and beliefs about the world. Presents four ways that teachers can use feature films to enhance the teaching of world history and to counteract misconceptions that students acquire through the mass media. (DB)

Discussed are the implications of the three main stages of conceptual change--"awareness, disequilibrium, and reformulating"--on misconceptions of grade 10 students in Israel. The difficulties and problems encountered with the procedure are included. (KR)