The complexity of teaching density in middle school

Abstract

Background: Density is difficult to learn and teach in middle schools. This study, hypothesizing that the density concept develops as part of a conceptual system, used a conceptual change approach to teaching density. The approach emphasized the use of multiple strategies to teach the density concept and the associated concepts in the conceptual system.Purpose: This study assessed post-instructional understanding of different aspects of density in a sample of seventh grade students, examined the effectiveness of the multi-dimensional approach in teaching density, investigated the relations between prior student characteristics and their post-instructional understanding, and investigated if the concept of density develops as part of a conceptual system.Program description: In the first part of the study, student understanding of density was assessed in regular classrooms. In the second part, the investigator and a science teacher co-taught the density unit over a two-week period emphasizing relations between density, mass, volume, part-whole relations, and a scientific particulate conception of matter. A conceptual change approach was used which emphasized multiple representations of knowledge and the use of analogies.Sample: The sample in regular classes consisted of 1645 seventh graders in 51 schools in the West Bank, Palestine. The intervention group consisted of 29 students in one school.Design and methods: The post-instructional understanding of density in 51 regularly taught classrooms was assessed in the first part of the study using a pencil-and paper test. In the second part, a pre-test was used with the intervention group. Students in both parts of the study took the same post-test. Descriptive statistics were calculated to describe student performance. Comparison between pre-test and post-test performance of students in the intervention group was conducted using t-test and ANOVA. Correlations between pre-test sub-scores and post-test scores for students in the intervention class also were calculated. X2 was used to test for co-development of the density concept and other concepts using the different items of the post-test for all groups.Results: Student understanding of density was found poor after instruction, while the intervention had a moderate effect on understanding. Students who started with a basic understanding of some aspects of density gained more from the intervention. The density concept co-developed with the concept of volume and a particulate conception of matter.Conclusions: Teaching density as part of a conceptual system helps promote understanding of the concept. This requires the continuous development and refinement of a learning progression of density, volume, and the particulate nature of matter on the one hand, and an in-depth treatment while teaching the concept on the other hand.