The senior school Mathematics syllabus is often restricted to the study of single variable differential equations of the first order. Unfortunately most real life examples do not follow such types of relations. In addition, very few differential equations in real life have exact solutions that can be expressed in finite terms. Even if the solution…

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)

Focuses on solutions to a single problem using both induction and deduction by utilizing a TI-82 graphing calculator to illustrate symbolic, numerical, and graphical approaches to the problem. (ASK)

The values of a polynomial with integer coefficients can be computed using a graphing calculator, but it is impossible to see the formula itself. Suggests finding this formula from numerical data and describes the unusual way to solve this problem with one calculation only. (Author/NB)

What initially appears to be a standard maximum-minimum problem presents, with a particular independent variable, a wealth of calculus and algebraic subplots. Uses graphing calculator technology to reinforce the "pencil and paper" solution and open the problem to lower level mathematics courses. (Author/NB)

An investigation of the cost of homeownership by constructing a mathematical model with refinements illustrates an important type of problem solving with calculators. (MNS)

Describes the different ways in which two pioneering Australian teachers adapted their teaching to use computer algebra systems (CAS). One teacher used CAS with the primary goal of increasing understanding but restricted student use. The other teacher adopted CAS as an extra technique for solving standard problems, emphasizing time saving routines…

Despite a 1986 National Council of Teachers of Mathematics recommendation calling for the inclusion of calculators in all aspects of math instruction, most math departments have an unwritten rule restricting classroom use of calculators. Teachers must accommodate the new essential skills, even if it means eliminating traditional practices.…

Introduces a lesson that incorporates numeric, graphic, and algebraic approaches as well as a strong verbal communication component into the maximizing problem. (ASK)

Chapter two of the book, "Problem Solving with Calculators,"is presented. Topics covered include parts of a problem, steps in problem solving, guessing, and methods of calculation. (MP)

Second part of an article describing the use of programmable calculators to solve complex physics problems. (SL)

Addresses issues related to the use of microcomputers for solving problems. Includes considerations of the impact of software availability, the nature of software for chemical education, general-purpose software, and dedicated software. (JN)

This section contains brief articles on triangular differences, when one is not equal to one, using calculators to check solutions of quadratic equations, and a county agents' problem. (MNS)

The problem of finding cube roots when limited to a calculator with only square root capability is discussed. An algorithm is demonstrated and explained which should always produce a good approximation within a few iterations. (MP)

An exploration of a problem called solving quadratic congruences modulo p is detailed and is built around an alternate method of deriving the quadratic formula. Three practical pedagogical values that have been experienced by students and instructor when the material was presented to classes are noted. (MP)