Problem-Based Learning (PBL) describes a learning environment in which problems drive the learning; that is, learning begins with a problem to be solved and the problem is posed in such a way that students need to gain new knowledge before they can solve it. This ERIC Digest discusses many aspects of PBL including PBL and problem solving, PBL and…

The digest summarizes major characteristics of American Indian student needs in the disciplines of science and math and offers constructive ways in which students may be motivated for greater achievement. Motivational, attitudinal, and behavioral factors contributing to avoidance of science and math by American Indian students are identified:…

This digest provides an overview of nonverbal learning disabilities (NLD) along with principles for designing and implementing instructional interventions to address its effects. It begins by explaining characteristics of students with NLD, including their tendency to focus on details rather than on the larger picture, the difficulties they may…

The principal focus of this brief report is on findings and observations from relatively recent research on the learning of mathematics. The distinction between learning and the concepts of curriculum and instruction is first reviewed. Then Piaget's theory of intellectual development is discussed, with the conclusion that it does not provide a…

This digest discusses the unique needs of mathematically gifted students and reasons why curriculum and instruction should be differentiated for these learners in mixed-ability classrooms. Recommendations for differentiation include: (1) give pre-assessments so that students who already know the material do not have to repeat it but may be…

This ERIC digest examines recent research about the use of manipulatives to teach mathematics. "Manipulatives" refers to objects that can be touched and moved by students to introduce or reinforce a mathematical concept. The digest also speculates on some of the challenges affecting future use of manipulatives. Since the 19th century,…

Content-based ESL is a method that integrated English-as-a-second-language instruction with subject-matter instruction. The technique not only focuses on learning a second language, but on using that language as a medium to learn mathematics, science, social studies, and other academic subjects. Although this approach has been used for many years…

This digest focuses on reforming mathematics instruction for English-as-a-Second-Language (ESL) students who have had limited or interrupted schooling in their first language. These students--referred to as ESL literacy students--must learn in a linguistically and culturally unfamiliar environment, construct understanding without the background…

Emerging perspectives on numeracy and their social, cultural, and political implications provide a context for new ways of thinking about adult numeracy instruction. Beyond daily living skills, numeracy is now being defined as knowledge that empowers citizens for life in their particular society. Thus, numeracy has economic, social, and political…

Of all the reform recommendations being made by the National Council of Teachers of Mathematics, making mathematical connections is among the more difficult to achieve, yet is so helpful in motivating students in the early grades. Mathematical connections can relate mathematical topics to students' daily lives and to other mathematical topics but…

Of all the reform recommendations being made by the National Council of Teachers of Mathematics, making mathematical connections is among the more difficult to achieve, especially at the high school level, where so much emphasis is placed on distinct content courses. Mathematical connections can relate mathematical topics to students' daily lives…

This digest describes an interdisciplinary approach to instruction based on the relationship between reading, writing, and arithmetic. Questions related to which language learning strategies apply to mathematics, the perspectives of the National Council of Teachers of Mathematics (NCTM) regarding this approach, the impact of reading on…

Of all the reform recommendations being made by the National Council of Teachers of Mathematics, making mathematical connections is among the more difficult, yet most important to achieve, especially at the middle school level, where students are first beginning to appreciate the real power of mathematics. Mathematical connections can relate…