In this "Delving Deeper" article, the author introduces the slip-slide method for solving Algebra 1 mathematics problems. This article compares the traditional method approach of trial and error to the slip-slide method of factoring. Tools that used to be taken for granted now make it possible to investigate relationships visually,…

This paper will offer an analysis from a theoretical point of view of mathematical modelling, applications and inverse problems of both causation and specification types. Inverse modelling problems give the opportunity to establish connections between theory and practice and to show this fact, a simple linear algebra example in two different…

This article describes a geometrical solution to a problem that is usually solved geometrically as an example of how alternative solutions may enrich the teaching and learning of mathematics. (Contains 11 figures.)

This article provides for a fast extremely accurate approach to graphing functions that is based on learning function reference graphs and then applying algebraic transformations to these reference graphs.

The main purpose of this paper consists in deriving means for making statistical inferences about the distribution of u under the conditions of sigma' is equal to sigma" and sigma' is not equal to sigma". An application of the results to coefficient alpha is appended as an illustration. (CK)

Additive two-factor conjoint measurement is derived from axioms that do not include unrestricted solvability or a condition on interlocked standard sequences. (Author)

The logarithmic transformation is a commonly applied procedure in regression analysis when two or more variables have a nonlinear relationship. When the response variable is logarithmically transformed, confidence intervals for conditional means and predictions may actually be wider than their counterparts obtained from the model with the original…

A procedure is outlined showing how the axiom of local independence for latent structure models can be weakened. (CK)

Relations between maximum likelihood factor analysis and factor indeterminacy are discussed. (CK)

Curves are considered to have the same shape when they are related by a similarity transformation of a certain kind. This paper extends earlier work on parallel curves to curves with the same shape. Some examples are given more or less explicitly. A generalization is used to show that the theory is ordinal and to show how the theory may be applied…

Details of the investigation of a device that produces unusual transformations in the plane are provided, along with the directions several students took in their studies. (MP)

The problem of fitting a surge function to a set of data such as that for a drug response curve is considered. A variety of different techniques are applied, including using some fundamental ideas from calculus, the use of a CAS package, and the use of Excel's regression features for fitting a multivariate linear function to a set of transformed…

This essay concentrates on those aspects of music that can be classified as purely mathematical or musical form, and is restricted to secondary-level concepts. (MP)