Presents a number of transcript examples of correct and incorrect transferences by children. Considers the objects of transference including spoken words, written symbols, models and diagrams, arithmetic procedures, and structures. Discusses the use of transference in arithmetic education. (YP)

This paper describes a research and development project in teaching designed to examine whether and how it might be possible to bring the meaning of knowing mathematics in school closer to what it means to know mathematics within the descipline by deliberately altering the roles and responsibilities of teacher and students in classroom discourse.…

This paper describes the implications of constructivism both for what to teach and for how to teach. The first part discusses three approaches on what to teach: (1) relating mathematical knowledge to other knowledge; (2) checking for self-consistency; and (3) putting thinking before facts. The second part is on how to teach based on…

Problem solving by example is an intermediate step toward mastering problem-solving heuristics. Discussed are problem-solving processes by using two problem examples. Emphasized are heuristics cataloging in a problem-solving log, and approaches to solutions, not the solutions themselves. (YP)

Examines the development of students' understandings about fractions during six weeks of instruction. Reports that all students possessed informal knowledge disconnected from their knowledge of fraction symbols and procedures and that knowledge of rote procedures often interfered with students' attempts to build on their informal knowledge.…

Misconceptions, shown to be prevalent in students even at the college level, may affect the cognitive process of making predictions in biology. The purpose of this study was to: (1) identify students' misconceptions about important biological concepts; (2) identify students' cognitive behaviors associated with making predictions about these…

The purpose of this study is to contribute to an understanding of how errors could be employed in mathematics instruction so that the students use them constructively in support of their learning of mathematics. A teaching experiment was designed to create an ideal context in which the pedagogical approach to errors as springboards could be…

Reported is a study designed to improve problem-solving skills of high school chemistry students. Interpretations of the data are presented. Recommendations for improvement in teaching problem solving in chemistry are proposed. (CW)

Describes basic problem-solving skills and presents a protocol of a student solving a problem. Discusses some of the difficulties in obtaining a correct solution. Lists basic prompts for problem solving. (YP)

A study investigated the effectiveness of training students in think-aloud procedure to improve reading comprehension. Subjects were two groups of Taiwanese university students of English as a Foreign Language (EFL). In the first week, a think-aloud training session was given to one group. Then both groups were asked to read an English passage and…

Investigates high school students' understanding of the physical relationship of chromosomes and genes as expressed in their conceptual models and in their ability to manipulate the models to explain solutions to dihybrid cross problems. Describes three typical models and three students' reasoning processes. Discusses four implications. (YP)

Analyzed was the performance of students on numerical versus conceptual chemistry problems in their freshman general chemistry course and their sophomore organic chemistry course. Data indicated that the ability to solve a problem did not necessarily imply an understanding of the concepts involved. (CW)

Discusses problem-solving strategies and the successful strategy used to solve stoichiometric problems in general college chemistry courses. Reports that rereading problems, recalling a related concept, and reasoning deductively/inductively are the most heavily used strategies among 13 categories. (YP)

This study explored secondary preservice science teachers' attempts to implement a constructivist approach to science teaching in a practicum setting. Described is the secondary science education program at St. Francis Xavier University. Interview excerpts are presented as data. Results indicated: (1) student teachers went through two…

One way that teachers can assist students to learn from their textbooks is through the use of verbal-spatial representations of text structure. This report offers teachers and teacher educators information about learning to make idea maps for instructional use with elementary science texts. Idea maps, which are verbal-spatial representations of…