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…

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…

Some recent research findings with implications for improving mathematics instruction are reviewed in this report. The focus is on two topics: computation, in particular subtraction and estimation, and problem solving. Findings about each are listed, with references for each cited study included. Effective algorithms and strategies used by…

This digest discusses how selected researchers are informing practice in four key areas relating to the participation of students with disabilities in standards-based mathematics curriculum. The first area focuses on enhancing students' understanding of mathematics and emphasizes the need to make math meaningful for students with disabilities. The…

This digest discusses how well authentic mathematics assessment tests can be expected to meet the needs of mathematics instruction that focuses on conceptual insights and analytical skills. In the new mathematics curriculum, situational lessons or real-life problems attempt to include dimensions of thinking and reasoning, individual or small-group…