This ERIC Digest overviews recent research on teaching and learning fractions and provides suggestions for practice, help in locating resources having direct application in the classroom, and sources for further reading in the literature. Students' conceptions of fractions or rational numbers, common mistakes teachers make, and new teaching…

Many educators may or may not be familiar with the term constructivism, but probably recognize it as something to do with learning. The main tenet of constructivist learning is that people construct their own understanding of the world and in turn, their own knowledge. This ERIC Digest examines the constructivist view of learning and how it…

This ERIC Digest concerns the constructed knowledge (also called nave knowledge or prior conceptions) held by students and the changes required to alter students' framework to understand and believe the true science concepts involved. This process is called conceptual change. Theoretical framework of conceptual change, what exactly is conceptual…

This digest provides a guide to improving student achievement in mathematics education and suggests resources for further study. It provides recommendations for the classroom and is a companion piece to "Improving Student Achievement in Mathematics, Part I: Research Findings." Recommendations include that students can learn both concepts…

This digest summarizes research findings on best teacher practices in mathematics education. Among the findings are: students can learn both concepts and skills by solving problems; whole-class discussion following individual and group work improves student achievement; and using calculators in the learning of mathematics can result in increased…

Based on a summary of research findings on best teacher practices in mathematics education, which is presented in Part 1, the companion to this digest, recommendations are given to improve mathematics teaching practices. Among the recommendations are: students can learn both concepts and skills by solving problems; whole-class discussion following…

This digest presents a case for the development of a precise definition of environmental literacy (EL) as a prerequisite to setting standards for environmental education. The discussion includes the following: (1) establishment of the relationship between EL, environmental education, and goals of the formal education system; (2) the development of…

The context in which career decisions are made is dynamic--occupations are changing rapidly and society is becoming increasingly complex. This digest describes a model that uses five processes which are critical to effective career planning: initiation, exploration, decision making, preparation, and implementation. The first process, initiation,…

This ERIC Digest discusses concept mapping, a technique for representing the structure of information visually. Concept mapping can be used to brainstorm, design complex structures, communicate complex ideas, aid learning by explicitly integrating new and old knowledge, and assess understanding or diagnose misunderstanding. Visual representation…

Students come to the classroom with theories that they have actively constructed from their everyday experiences. However, some of these theories are incomplete half-truths. Although such misconceptions interfere with new learning, students are often emotionally and intellectually attached to them. Some common mathematical misconceptions involve:…

This digest features a review of learning styles research with a focus on the Dunn model of learning styles which delineates five types of stimuli: (1) environmental; (2) emotional; (3) sociological; (4) physical; and (5) psychological. Issues related to practical applications of the Dunn model to mathematics and science education, learning…

Goals and objectives of many state and local environmental education programs have included developing students with knowledge, skills, positive attitudes and motivation to take action, to prevent and to resolve environmental problems. This digest describes variables involved in developing responsible environmental behavior and some teaching…

The advance of science and technology, the rise of mass consumerism, the deterioration of families, and other factors have enormous implications for career counseling. This digest outlines a constructivist career counseling perspective. This perspective is based on the following concepts: there are multiple realities and no single "God's…

Constructivism suggests a way to restructure the learning environment to make the transfer of learning from school to work settings more effective. The theory rests on the notion that learners actively construct knowledge by integrating new information and experiences into what they have previously come to understand. Using a constructivist…

This ERIC Digest describes the parameters of misconception research as it relates to the learning of science and highlights some of its implications for the teaching of science in the elementary school. The document reviews terminology associated with misconception research, identifies common characteristics of misconceptions, and specifies…