In mathematics, situations calling for reconstruction of a transformation are frequent. In such situations, children aged 6 to 7 concentrate on the states, combining them in different ways. The present research aims to illustrate that difficulties and strategies observed with children 6-7 years old are not specific to this age level, but are also…

An advanced public speaking class at the Duquesne University, Pittsburgh, was specifically designed not only to improve the overall quality of a speech communication program but also to increase the number of majors that an excellent program would attract. Only students who have demonstrated superior speaking skills in basic public speaking…

A discussion of the relationship between second language proficiency and mathematics performance argues that the learning of a second language and mathematics can be effectively integrated. The conditions conducive to second language acquisition in mathematics contexts, the communicative competence needed for mathematics, and the link between…

The question of whether performance measures may be more accurate than examination methods to assess an individual's abilities and knowledge is examined, based on a literature review. An information processing view that focuses on the internal activities of thinking and the relationship to external stimuli is considered. Information processing…

Abstracts and comments are presented for 11 studies. There are two each on aspects of problem solving, mathematics achievement, and estimation. The remainder cover topics related to cognitive development, cognitive processes, evaluation, numeration, and student errors. Research as reported in RIE and CIJE between July and September 1982 is also…

Systematic cognitive development, through planned experiences in the context of course work, should be a component of teacher education programs, together with opportunities to apply that learning in practicum settings. Training in cognitive skills (analysis of error, comparison and contrast, categorization, identifying relationships among…

Through everyday experience people acquire knowledge about how moving objects behave. For example, if a rock is thrown up into the air, it will fall back to earth. Research has shown that people's ideas about why moving objects behave as they do are often quite inconsistent with the principles of classical mechanics. In fact, many people hold a…

Students have well-formed but incorrect theories of simple motion. As children, they interpret many phenomena related to motion before encountering any formal science education. Since most adults have misconceptions, children's questions are not answered correctly, so the misconceptions persist. Thus, every science teacher must face the prospect…

This material is designed to examine the research on how children acquire basic addition and subtraction concepts and skills. Two major lines of theories of the development of basic number concepts, called logical concept and quantification skill approaches, are identified. Major recurring issues in the development of early number concepts are…

A group of 24 14-year-old students were presented with sets of algebra tasks using the Leeds Modelling System (LMS), a computer-based modeling system. Four months later, these same students were given a paper-and-pencil test which covered comparable tasks set by LMS. In addition, certain students were given detailed diagnostic interviews. A…

This paper reports the results obtained with a group of 24 14-year-old students when presented with a set of algebra tasks by the Leeds Modelling System (LMS). These same students were given a comparable paper-and-pencil test and detailed interviews some 4 months later. The latter studies uncovered several kinds of student misunderstanding that…

The difficulty of computer programming and other design tasks is a function of the multiple abstractions that combine to form a program's meaning. Thus, comprehension of the final form of a program design, the program text, involves retrieving multiple sets of relationships between parts. The research presented here addresses which, if any,…

A study was designed to develop an instrument and methodological procedure to assess transitive relations within seriation problems in elementary school children using three criteria: explanations, judgments, and strategies. A secondary analysis to assess transitivity used the three criteria according to whether the children were conservers, in…

This report discusses the cognitive-skills approach to teaching. This approach makes explicit the mental activities engaged in by successful thinkers as they solve problems and master ideas, and it attempts to teach these "high aptitude" thinking activities to "low-aptitude" students. The report begins by illustrating and contrasting high- and…

The reasoning ability of 20 ninth grade, 20 eleventh grade, and 15 college freshman boys was explored. Three tasks in reasoning were given each student. In the "turtles task" the student was asked to test a hypothesis; from his responses the investigator determined whether the student tested the hypothesis by trying to find confirming instance or,…