Physics experts and students commonly use a variety of representations when working with partial derivatives, including symbols, graphs, and words. One especially powerful representation is the contour graph. In open-ended problem-solving interviews with nine upper-division physics students, we asked students to determine derivatives from contour…

The understanding of graphs and extraction of relevant information from graphs plays a major role in physics education and is also important in several related fields. Recently, Susac "et al." [Phys. Rev. Phys. Educ. Res. 14, 020109 (2018)] compared physics and psychology students' understanding of graphs in the contexts of physics and…

Previous studies have identified physics students' difficulties with graph slope and area under a graph in different contexts. In this study we compared physics and nonphysics (psychology) students' understanding of graphs; i.e., we evaluated the effects of concept (graph slope vs area under graph), type of question (qualitative vs quantitative),…

Science as inquiry and mathematics as problem solving are conjoined fraternal twins attached by their similarities but with distinct differences. Inquiry and problem solving are promoted in contemporary science and mathematics education reforms as a critical attribute of the nature of disciplines, teaching methods, and learning outcomes involving…

The aim of this study is to scrutinize the characteristics of conceptual meaning making when students engage with virtual worlds in combination with a spreadsheet with the aim to develop graphs. We study how these tools and the representations they contain or enable students to construct serve to influence their understanding of energy resource…

This book looks at how teachers implement national math and science standards in their classrooms. Teacher-authored chapters provide insights into how children think and reason as they pose questions, collect data, and build data models to answer their questions. While the spotlight is primarily on student understanding and its development over…

Expert/novice studies of conceptually rich problem solving have demonstrated a relationship between the correctness of a solution and the extent and organization of the solver's conceptual knowledge. This study examines meaningful problem solving and the relationship between the correctness of a solution and the extent of the solver's scientific…

Described is how the crumpling of paper balls exhibits the concept of a topological dimension similar to fractals. The mass of the crumpled paper ball is found to be proportional to its diameter raised to a nonintegral power. (KR)

An exercise which relates particle scattering and the calculation of cross-sections to answer the following question--"Do you get wetter by walking or running through the rain?"--is described. The calculations used to answer the question are provided. (KR)

Develops a graphical method for studying the parallel susceptibility of an antiferromagnetic material. (SL)

Described is a situation where students are allowed to enlist the aid of a computer graphing program to produce graphs for their lab reports. (KR)

Graphs and charts are discussed in terms of levels of applications and skills necessary for effective use. Five activities, most appropriate for upper-elementary or junior high students, are suggested. (MK)

The process skills discussed include: observation; estimation; communication; mensuration; and graph construction and interpretation. Two activities for grade 6 and beyond are suggested. (MK)

An activity in which students use a rubber band and flexible straws to pull a dynamics cart so that the cart has a consistent angle and, therefore, a consistent horizontal component of force is described. A copy of the handout for the activity is included. (KR)

Describes various elementary school activities using a loaf of raisin bread to promote inquiry skills. Activities include estimating the number of raisins in the loaf by constructing histograms of the number of raisins in a slice. (MLH)