This study explores calculus students' opportunities to learn the concepts of integral by examining one mathematician's videotaped lessons and the textbook. Results show that both lessons and the textbook introduce important cognitive resources briefly and focus on other units of knowledge. Implications to these results are also discussed.

Recognizing, building, describing, extending, and analyzing patterns are key components of algebraic reasoning. Oftentimes pattern-based instruction is used to support the understanding of functions and variables. In this study, elementary preservice teachers (n = 23) were asked to explore, extend, explain, create equations for, and analyze…

Recent research demonstrates that mathematics teachers rely on a variety of curriculum materials and must make meaning and synthesize these materials for use in a particular place with particular students. While there are multiple theories about the nature of this work and the factors which influence this work, the field continues to lack a…

Curriculum materials can play a major role in shaping teachers' thinking about instruction and content as well as serve as a support for teachers' learning. With the inclusion of engineering in NGSS, many teachers may be turning to existing curriculum materials to help them infuse engineering into their science classroom, especially when they do…

Visual representations and manipulatives are a highly advocated mathematical tool for the teaching and learning of multiplication and division. Although there is some prior research on elementary teachers' general use of manipulatives and visual representations, there is little to no specific focus on use of such representations on a specific…

Afterschool programs have garnered much attention as promising environments for learning where children can engage in rich science activities. Yet, little is known about the kinds of instructional materials used in typical, large-scale afterschool programs that implement science with diverse populations of children. In this study, we investigated…

Textbooks are a key part of curriculum materials used for guiding students' acquisition of certain culturally valued concepts, procedures, intellectual dispositions, and ways of reasoning (Battista & Clements, 2000). There are many contextual and social factors that influence the ways teachers engage with and use curriculum materials in their…

This study explored how mathematics content and methods courses for preservice elementary and middle school teachers could be improved through the integration of a set of instructional materials based on the National Assessment of Educational Progress (NAEP). A set of eight instructional modules was developed and tested. The study involved 7…

This article investigates the effectiveness of improvising locally available materials for teaching chemistry in Nigeria, as a case for a culture of improvisation for teaching the sciences in developing countries. The scarcity and cost of imported materials for teaching science has remained a major challenge to teaching sciences in developing…

Describes a 45-minute module to instruct elementary school teachers in teaching the metric system. (CS)

Presents a study of the content and organization of teacher manuals for elementary school mathematics from Japan and the United States. Indicates that there are significant differences in the way Japanese teacher manuals are prepared compared to those from the U.S. series. Concludes that curriculum developers should critically reflect on how to…