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)

This paper describes a content upgrading course on Secondary School Algebra which was planned and conducted for in-service mathematics teachers who are trained to teach mathematics at lower secondary level (ages 13 to 14). In order to be an effective mathematics teacher, one needs to know a great deal of mathematical knowledge on top of good…

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)

This paper reports an experiment designed to test theoretical relations among fast problem solving, more complex and slower problem solving, and research concerning fundamental memory processes. Using a cathode ray tube, subjects were presented with propositions of the form "Y is in list X" which they memorized. In later testing they were asked to…

Some problems and classroom problem-solving settings presented in a mathematics methods course for elementary teachers are described and some results of student's involvement in the program are illustrated. (MN)

There are many problems that can be translated into the language of graph theory. Such a problem, discussed in this article is to show that in any group of two or more people, there are at least two people who have the same number of acquaintances in the group. (PK)

Plotting a polynomial over the range of real numbers when its derivative contains complex roots is discussed. The polynomials are graphed by calculating the minimums, maximums, and zeros of the function. (MNS)

The game of "Sprouts" is explained, then several theorems concerning the game are stated and proved. (DT)

How the use of calculators can illuminate mathematics and improve the level of problem-solving discussion in classes is presented. (MP)

Presents a project that explored student choice of a solution method for quadratic inequalities. Students were first instructed in the use of the case, critical-number, and graphical methods using the graphing calculator. The majority of students chose graphical methods of solution. (DDR)

Covers a project conducted by the Freudenthal Institute in which observation of student behavior supported the premise that the graphics calculator can stimulate the use of realistic contexts, the exploratory approach to mathematics, a more integrated view of mathematics, and more flexible behavior in problem solving. (AIM)

Discussed is the tendency of students to equate the concepts of continuity and connected graphs based on their lack of an understanding of such concepts as limit points, closed sets, and connected sets. Included is a theorem with three lemmas with their proofs. (KR)

Topics from graph theory are introduced at an informal level and thereby made accessible to the majority of secondary school students. Three worksheets are included. (MNS)

Presents four examples of physics problems that can be solved with a graphing calculator. Problems included deal with motion, harmonic oscillations, sound waves, and blackbody radiation. (JRH)

A quantitative application of magnetic braking performed with an air track is described. The experimental measurement of the position of the glider as a function of time is calculated. (KR)