In order to collaborate effectively in group discourse on a topic like mathematical patterns, group participants must organize their activities in ways that share the significance of their utterances, inscriptions, and behaviors. Here, we report the results of a ethnomethodological case study of collaborative math problem-solving activities…

The possibilities for using graphic calculators to enhance the teaching and learning of mathematics are great. However, the boundaries explode when these powerful tools for learning are connected to data logging devices: a whole new approach to mathematics learning becomes possible. Using real world data to introduce the main functions (which are…

Calibration is a technique that is commonly used in science and engineering research that requires calibrating measurement tools for obtaining more accurate measurements. It is an important technique in various industries. In many situations, calibration is an application of linear regression, and is a good topic to be included when explaining and…

A whimsical mathematics event for children and adults, derived from Lewis Carroll's Alice's Adventures in Wonderland, was held at the Providence Children's Museum in Rhode Island. NCTM's Standards were the basis of all the activities. (Contains 10 figures and 1 table.)

Most mathematical problems can be solved using different methods. We tested the effectiveness of presenting more than one solution method by means of worked-out examples. In Experiment 1, a 2x3-factorial design was implemented ("multiple solutions": multiple/uniform; "instructional support": none/self-explanations/instructional explanations).…

In a statistics course for bachelor students in econometrics a new format was adopted in which students were encouraged to study more actively and in which cooperative learning and peer teaching was implemented. Students had to work in groups of two or three students where each group had to perform certain tasks. One of these tasks was: explaining…

Following the Guidelines for Assessment and Instruction in Statistics Education (GAISE) recommendation to use real data, an example is presented in which simple linear regression is used to evaluate the effect of the Montreal Protocol on atmospheric concentration of chlorofluorocarbons. This simple set of data, obtained from a public archive, can…

The general background of this study is an interest in how digital tools contribute to structuring learning activities. The specific interest is to explore how such tools co-determine students' reasoning when solving word problems in mathematics, and what kind of learning that follows. Theoretically the research takes its point of departure in a…

Presents activities using the Three Pigs to increase students' understanding of addition and subtraction. Argues that addition and subtraction are something that students can view and participate in when using the Three Pigs instead of just the manipulation of numbers. (ASK)

Presents an activity that concerns children's reasoning about counting from the perspectives of informal mathematics, work center mathematics, and cardboard box mathematics. (ASK)

Two groups of Chinese four-year-olds and their parents' interaction in joint activities were analyzed and compared. The children in Group 1 were high scorers in written number skills and the children in Group 2 were low scorers. Eighty-five dyads participated in four separate 15-minute joint activities such as book reading, mathematical work…

Several researchers have noted how children's whole number schemes can interfere with their efforts to learn fractions. An Australian study found that children who were successful with the solution of rational number tasks exhibited greater whole number knowledge and more flexible solution strategies. Behr and Post (1988) indicated that children…

Noting children's inclination for things mathematical, this booklet of activities was written to help parents: use home activities to challenge their children's minds; to help parents and children enjoy mathematics; and to help parents ask their children questions that will get them thinking. The activities in the booklet require no special…

Presents the problem of doubling dough by creating a mixture of dough that doubles in volume every minute when placed in a warm oven. Discusses ways of proposing this question in the classroom. (ASK)

Least squares regression is the most common method of fitting a straight line to a set of bivariate data. Another less known method that is available on Texas Instruments graphing calculators is median-median regression. This method is proposed as a simple method that may be used with middle and high school students to motivate the idea of fitting…