These proceedings contain the papers of the 14th International Conference on Cognition and Exploratory Learning in the Digital Age (CELDA 2017), 18-20 October 2017, which has been organized by the International Association for Development of the Information Society (IADIS) and endorsed by the Japanese Society for Information and Systems in…

The 11th International Conference on Educational Data Mining (EDM 2018) is held under the auspices of the International Educational Data Mining Society at the Templeton Landing in Buffalo, New York. This year's EDM conference was highly competitive, with 145 long and short paper submissions. Of these, 23 were accepted as full papers and 37…

Two problems related to the mean-value theorem lead into a problem requiring the use of the universal chord theorem. This latter theorem is discussed and a proof given. (MP)

Two mathematical brainteasers, with solutions depending on involved trial-and-error processes, are shown to have ingenious solutions. (MP)

An example is given of a problem-solving approach by outlining the development of a generalization of the Pythagorean Theorem as applied to points on a unit circle. (MP)

Examines the impact of the recent shift towards calculating and computing tools on the nature of learning in traditionally difficult curriculum area. Focuses on the use of graphic calculators by undergraduates taking an innovative new mathematics course at Open University. Indicates that graphic calculator technology acted as a critical mediator…

A diagrammatic approach to invariants of knots is the focus. Connections with graph theory, physics, and other topics are included, along with an explanation of how proofs of some old conjectures about alternating knots emerge from this work. (MNS)

The focus is on how line graphs can be used to approximate solutions to rate problems and to suggest equations that offer exact algebraic solutions to the problem. Four problems requiring progressively greater graphing sophistication are presented plus four exercises. (MNS)

A method of approximating areas under curves in precalculus courses is described. (SD)

Develops a graphical method for studying the parallel susceptibility of an antiferromagnetic material. (SL)

An examination of a student question concerning a calculus problem leads to a discussion of some of the symmetric properties of a specific set of polynomials. (MP)

Graphical solutions are illustrated for several algebra problems including finding roots of a quadratic equation, solving mixture and motion word problems, factoring the difference of two squares, and constructing the square root of a positive number. (MN)

The approach discussed intuitively illustrates how a problem can be analyzed by breaking it down into parts. The method makes extensive use of graphs of absolute value functions and is broken down into three stages. Each stage is covered in some detail. (MP)

A technique for teaching the graphing of polar coordinate equations is presented. This approach involves the use of an auxiliary graph in rectangular coordinates and is thought to aid students in understanding of problem-solving situations such as in dealing with points of intersection and determination of limits of integration. (MP)

A college-level intermediate algebra course with an applications theme is described. (MK)