This paper describes student difficulties in first-year calculus classes and suggests some instructional strategies to address these difficulties. Participants in this study were 200 low socio-economic background freshmen majoring in business in Brazil. Results show that the main difficulties are related to lack of understanding of algebraic…

Microanalyzes graph use in lectures drawn from artifacts compiled from videotaping all lectures and seminars in a 13-week ecology course. Focuses on both the text and the gesture-related references made in the reading of a graph in an ecology lecture. Contains 36 references. (DDR)

Explores ways in which various technologies can be integrated to teach the transformation of graphs in an interactive and dynamic way. Discusses how the use of graphic calculators, a spreadsheet, graph plotter, presentation package, and an interactive whiteboard can be combined to give students the opportunity to investigate, understand, and have…

Presents a teaching approach related to the concept of function that lead students working within a graphic milieu to producing, discussing, and testing the validity of mathematical statements and theorems. Indicates that students experimenting with the approach became able to think of functions as objects and engage in questions of the validity…

Recommends that economics instruction begin a synthesizing process early by connecting discussion of the production possibilities curve and the supply curve. Suggests that linking the two is logical for conveying integrated economic thinking to beginning students. Argues that such a link makes it easier to discuss the competitive norm. (DK)

Discusses areas where teachers may harbor mistaken assumptions about their students' understanding when using graphing calculators: (1) confidence and competence with order of operations, (2) integration of algebraic and graphical knowledge, and (3) scaling a graph. (MKR)

Knowledge representations and mental models from graphically presented information were investigated for 98 college students with different levels of mathematics experience. The subjects were drawn from a remedial algebra course (n=35), a second semester calculus course (n=35), and a calculus-based statistics course (n=28); they were all exposed…

A classroom exercise to help college students of economics conceptualize, create, and learn from graphs is described. The technique is illustrated with an exercise concerning the concept of supply and demand in consumer markets. Classroom time required for the activity is small, and students become adept at manipulating models without anxiety.…

An approach to teaching electrochemical driving force that helps students comprehend the forces that govern ion flux across biological membranes and sets the stage for more elaborate analysis of biochemical signals is presented. Background information and two sample problems and answers are included. (KR)

This research focuses on the graphics calculator in calculus and its impact on students' abilities to work with graphical, numerical, and symbolic representations. Three courses are compared, two of which are taught with less emphasis on the use of graphing calculators. The format of the course emphasizing calculator use is more traditional than…

Presents results of a study examining how introductory economics students use graphic analysis. Concludes that the difficulties students have in analyzing an economic problem graphically result from problems with concept formation. Suggests that videotaping can assist instructors to understand and anticipate the learning processes that students…

Discusses research findings related to students' ability to make connections between analytical (symbolic) and graphical representations of functions in calculus. Describes graphing tasks and typical student interpretations. Implications for teaching are suggested. (Contains 17 references.) (MKR)

Graphs of objects in motion are frequently used in introductory high school or college physics courses since they offer a valuable alternative to verbal and algebraic descriptions by offering students another way of manipulating the developing concepts. If graphs are to be a valuable tool for students, then the level of the students' graphing…

This study examined the effects of an inductive multimedia program, including graphs, on subjects' ability to create linear functions and conceptualize variables from word problems. Subjects were 98 undergraduate students in two sections of a computer literacy course. Students' achievements were assessed via pre- and posttests, which were parallel…