Existing accounts of student thinking about mechanical wave propagation and superposition emphasize that students sometimes treat wave pulses as objects, saying, for example, that pulses bounce off of one another when they meet. In this paper, we present a context in which students explicitly reason about pulses as not-objects, instead describing…

This case study demonstrates the ability of high school chemistry students, with varying levels of math preparation, to experience learning-gains on state and district assessments as it relates to chemical reactions, thermodynamics, and kinetics. These advances were predicated on the use of a teaching style rooted in abstract reasoning. The…

Although there is no consensus in regard to a unique meaning for abstraction, there is a recognition of the existence of several theories of abstraction, and that the ability to abstract is imperative to learning and doing meaningful mathematics. The theory of "reducing abstraction" maps the abstract nature of mathematics to the nature…

The use of science classroom discourse analysis as a way to gain a better understanding of various student cognitive outcomes has a rich history in Science Education in general and Physics Education Research (PER) in particular. When students talk to each other in a collaborative peer instruction environment, such as in the CLASP classes…

The issues that prompt this study are based on current research indicating the positive effects of inquiry learning on the cognitive development of children. The purpose of this case study was to understand the effects of inquiry learning on the academic achievement and bilingual verbal ability of 5th grade bilingual students in a French/English…

This research report examines how two groups of bilingual algebra students made connections among representations while solving a non-routine generalization problem. Using a socio-cultural orientation to mathematics learning, together with a semiotic lens on students' joint mathematical activity, this report details the type of connections among…

State policymakers' efforts to promote teaching for understanding and thinking in elementary schools were assessed. Data were obtained through interviews of directors of state departments of education nationwide, interviews of two or more curriculum specialists in seven states judged to be particularly active in promoting higher order outcomes,…