Determined was the effect that cooperative groups heterogeneously based on proportional reasoning ability have on problem solving in regular and honors high school chemistry. Characteristics of successful and unsuccessful problem solvers individually and in groups are discussed. (KR)

Describes a general education course addressing the linguistic and logical aspects of the language of mathematics which is intended to develop students' abilities to read mathematics, express mathematical thoughts clearly, reason logically, and grasp the nature of proof. Students improved their algebraic procedural skills and attitudes toward…

Describes a study of factors in the development of reasoning on the balance beam (n=34 nonscience majors in a Physical Science class). From this study and others, the author developed a model of problem solving and problem-solving behaviors. The implications of this model for instruction are discussed. (PR)

Examines the effects of adding a prediction/discussion phase at the beginning of a three-phase learning cycle involving exploration, term introduction, and concept application. Finds that the instructional innovation produced significant gains relative to the use of process skills, logical thinking skills, science concepts, and scientific…

The present study explores how suppositions which conflict with accepted beliefs are represented and reasoned about. Two studies test the predictions regarding the nature and developmental changes in children's ability to represent and reason about hypothetical or make-believe suppositions which violate their everyday knowledge and beliefs. In…

We articulate and explicate a mechanism for mathematics conceptual learning that can serve as a basis for the design of mathematics lessons. The mechanism, reflection on activity-effect relationships, addresses the learning paradox (Pascual-Leone, 1976), a paradox that derives from careful attention to the construct of assimilation (Piaget, 1970).…

Theorem acquisition and deductive proof have always been core elements in the study and teaching of Euclidean geometry. The introduction of dynamic geometry environments, DGE (e.g., Cabri-Geometre, Geometer's Sketchpad), into classrooms in the past decade has posed a challenge to this praxis. Students can experiment through different dragging…

Arithmetic algorithms include two types of rules: conventional rules that may be changed by authority, and may legitimately vary from one classroom or country to another (e.g. putting the sum below, rather than above, the numbers added) and logical rules that involve the logic of the algorithm. Changes in the logical rules produce incorrect…

According to "noun-cue" models, arbitrary linguistic categories, like those associated with case and gender systems, are difficult to learn unless members of the target category (i.e., nouns) are marked with phonological or semantic cues that reliably co-occur with grammatical morphemes (e.g., determiners) that exemplify the categories. "Syntactic…

This article explores analogy as a communicative tool used by parents to relate children's past experiences to unfamiliar concepts. Two studies explored how similarity comparisons and relational analogies were used in parent-child conversations about science topics. In Study 1, 98 family groups including 4- to 9-year-olds explored two science…

This paper is about a study into the nature of analogies recorded from three Form 2 (Grade 10) classes in Kenya, instructed by three physics teachers. Through a case study method involving classroom observation, several analogies were recorded and analysed. These analogies were predominantly "environmental" (drawn from students'…

This article presents a critical review of complexity theory in relation to educational research. The "analytical reductionist" approach is one in which the educational researcher seeks to reduce complex wholes to particular factors and to identify correlations between them and desirable outcomes. Complexity theory shows how this approach in…

In this article we describe the initial investigations that we have conducted on student data collected from a web-based tutoring tool. We have used some data mining techniques such as association rule and symbolic data analysis, as well as traditional SQL queries to gain further insight on the students' learning and deduce information to improve…

The aim of this paper is to compare the effects of different communication media on the quality of arguments and the development of argumentative reasoning. The study involved 73 undergraduate students. It consisted of a pre-test, an intervention session consisting of either an asynchronous online discussion or a face-to-face discussion, and a…

This paper reports on a project that aimed to assist the induction of three women teachers into the practice of mathematics teaching. In their first year of teaching the three teachers were located in schools at great distances from the normal support structures for the teachers. Further, the schools consisted of student populations with wide…