Reviews chapters of this book on probability in mathematics education. Topics discussed in the chapters include a historical perspective of probability, an epistemological perspective of probability, an overview of the psychological research on probability learning, computers in probability education, and an analysis of the probability curriculum.…

Describes a theoretical framework for the analysis of conceptual change that considers conceptual knowledge as a generative cognitive tool for the creation of more specific mental representations. Argues that a task-oriented interaction between propositional structures and mental models can help learners evaluate the consistency of their…

Clarifies the teaching of academic language functions (ALFs) at the secondary level. It is recommended that teaching should emphasize concepts underlyng ALFs, the forms for realizing them, and their names. Some pedagogic implications of the microfunction-macrofunction difference are outlined, and suggestions are given for teaching each type. (25…

Addresses the implementation and evaluation of a constructivist course and extends the argument toward the induction of teachers into critical constructivism through their own action-research projects. Data is taken from a single case study illustrating the changes in the professional life and reflective practice of one teacher in Brazil. (AIM)

Recent research literature has highlighted the interest of both teachers and researchers in using analogies to aid students' conceptual understanding. This appears to be especially relevant in secondary chemistry education due to the many abstract concepts that are included in the curricula. This paper reviews recent literature and considers…

This study investigated the effects of K. J. Klauer's (1989) inductive reasoning training program of teaching children. Effects of training and the range of transfer of the training were assessed. The subjects were 34 third-grade Dutch children of average ability, matched on age, sex, and IQ. Children from the training condition (N=17) received…

Instruction should be designed to incorporate learning theories that explain how intellectual skills are developed. Through these appropriate learning theories, students learn to think conceptually, critically, and creatively when analyzing situations, developing solutions to problems, and learning from their experiences. Several critical issues…

This document presents the results of three studies about how children interpret observations of the biological phenomena of decay. The objectives of this report were to: (1) document and compare the ideas used by elementary school children in the United Kingdom, the United States, and Canada; (2) document how these ideas changed from age 5 to 16;…

A study investigated a model that takes into account the influence of conceptual, cultural, and linguistic variables in formation of verbal and nonverbal concepts in bilingual children. This triple-interaction model states that concepts are represented in three ways: (1) nonverbally as abstract categories; (2) symbolically by means of…

Students lacking formal training in physics have great difficulty predicting the paths of various projectiles. With respect to pendulum-bobs that are released from various points in a swing, a previous experiment found that empirical feedback (i.e., resultant trajectories) produced transfer-of-training to other pendular-based tasks. However, such…

Examining how students reconstruct stories they've heard can give insights into why students often have difficulty understanding and retaining mathematics. Behavioral psychologists refer to the phenomenon of piecing together a series of events as "chaining." This paper argues that the cognitive capacity to reconstruct a whole contextual…

Meaning constructs are aspects of a person's cultural worldview. They are those aspects that philosophers often write about as a means by which to make sense of the world. Teachers carry their worldviews and meaning constructs into the classrooms with them. Similarly to teachers, reflective teaching proponents hold meaning constructs that are…

An ethnographic study was conducted with the goal of evaluating the botanical concepts of sixth-grade students. One aspect of the study involved examination of the levels of abstraction students use for naming plants. Nine sixth-grade students were interviewed individually. Each was asked to identify the plants seen in a set of 64 slides and…

Children rarely cite more than one strategy when asked to explain how they solved a particular arithmetic problem, hence their verbal explanations will not necessarily reveal whether they have considered multiple strategies on that problem. However, previous work has shown that, when asked to explain their performance on a task, children often use…

Concept mapping typically refers to the graphic representation of concepts and their interrelationships. In this instance, concept mapping is used as a means for assessing an individual's conceptual understanding of a curricular topic. In a series of studies with teacher trainees, emphasis was on determining whether concept maps have regular…