This article describes how the teachers in a sixth grade mathematics inclusion class used differentiated instruction to better meet the needs of all learners in the classroom. In an inclusion class with students of mixed abilities, differentiated instruction allows the teacher to meet the needs of every learner by providing students with multiple…

The Cognition and Technology Group at Vanderbilt addresses concerns related to constructivism and instructional design that were raised in an earlier issue. Relationship of ecological psychology and constructivist theory is described, constraints on constructed knowledge are discussed, and the complexity of the Jasper series of math problems that…

Using a sixth-grade mathematics lesson, this article attempts to illustrate the lack of understanding of the "subject matter" of instruction in schools. Aims to illuminate the process by which knowledge becomes constituted and stated as valid in school lessons. Maintains that the mathematics example which is analyzed reveals how subject…

The authors of this article, 4th grade and 6th grade teachers at Castle Rock Elementary School in Colorado, describe their efforts to engage their students in learning. Morgan recounts a math lesson in which he confirmed that 4th graders sometimes need extensive preparation and support to translate their impressive insights into the written word.…

This study investigated the relationship between the level of conservation of displaced volume and the degree to which sixth graders learn the volume algorithm of a cuboid, i.e., volume = length x width x height (v = l x w x h). The problem is a consequence of an apparent discrepancy between the present school programs and the theory of Piaget…

Argues that intuitive and computational knowledge can be combined by focusing more explicitly on referential and quantitative meanings in division of fractions problems. Recommends teaching mathematics as problem solving, communication, reasoning, and connections to help students overcome misunderstandings and connect their intuitive knowledge…

A teacher recounts her experiences in adapting the concept of Academic Learning Time (ALT), developed in the Beginning Teacher Evaluation Study, to sixth-grade classes whose students formerly had been instructed individually. ALT was introduced into reading and mathematics instruction. Its effects on student motivation and achievement are…

Describes a study that investigated the effects of computer and noncomputer environments on fifth- and sixth-grade students' learning of geometric motions. The use of LOGO and the treatment of experimental and control groups are discussed, and the results of immediate and delayed posttests are reviewed. (38 references) (LRW)