The Science of Patterns

  title={The Science of Patterns},
  author={L. Steen},
  pages={611 - 616}
  • L. Steen
  • Published 29 April 1988
  • Computer Science
  • Science
The rapid growth of computing and applications has helped cross-fertilize the mathematical sciences, yielding an unprecedented abundance of new methods, theories, and models. Examples from statistical science, core mathematics, and applied mathematics illustrate these changes, which have both broadened and enriched the relation between mathematics and science. No longer just the study of number and space, mathematical science has become the science of patterns, with theory built on relations… 

Patterns of visualisation

Mathematicians have always been fascinated by the art and science of patterns (Joseph, 2000). In a parallel with the visual arts, to meaningfully engage with a pattern requires a necessary

Repeating Pattern or Number Pattern: The Distinction Is Blurred

"Life itself is a creator of patterns." (Piaget, 1950, p. 167) Introduction Many argue that patterns are the cornerstone of mathematics. They are the foundation that the whole of the subject is built

Editors' introduction: What is mathematical visualization?

"in mathematics ... we find two tendencies present. On the one hand, the tendency toward abstraction seeks to crystallize the logical relations inherent in the maze of material that is being studied,

Technology for deciding the convergence of series

The use of technology to motivate the study of calculus is very popular in today's undergraduate mathematics classroom. This article presents some new ways of using a spreadsheet in teaching

The Physical Sciences and Mathematics

University faculty in the physical sciences and mathematics— the quantitative sciences—must generate their own research funds, often including funds to support their graduate students. The major


Perceptions of the nature and role of mathematics held by our society have a major influence on the development of school mathematics curriculum, instruction, and research. The understanding of

A pattern-based approach to elementary algebra

It is shown that students' problems with establishing algebraic rules from patterns and tables can be explained by: 1) difficulties caused by students' use of invalid methods to identify explicit formulae; 2) difficulties due to students' tendency to focus on recurrence relations; and 3) institutional constraints.

The structure of pattern languages

How to validate existing pattern languages, how to develop them, and how they evolve are described are described.

Statistics within departments of mathematics at liberal arts colleges

In his important article "The Science of Patterns" [9], former MAA president Lynn Steen provides us with a state-of-the-discipline report on modern mathematics. Steen divides the mathematical

The formal sciences discover the philosophers' stone

Aristotelians deplore the narrow range of examples chosen for discussion in traditional philosophy of mathematics. The traditional diet – numbers, sets, infinite cardinals, axioms, theorems of formal



The Unreasonable Effectiveness of Mathematics in the Natural Sciences (reprint)

There is a story about two friends, who were classmates in high school, talking about their jobs. One of them became a statistician and was working on population trends. He showed a reprint to his

Chaos, Strange Attractors, and Fractal Basin Boundaries in Nonlinear Dynamics

Basic developments in the field of chaotic dynamics of dissipative systems are reviewed, Topics covered include strange attractors, how chaos comes about with variation of a system parameter, universality, fractal basin boundaries and their effect on predictability, and applications to physical systems.

The Four-color Problem and Its Philosophical Significance

Terms and Conditions of Use provides, in part, that unless you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use

Packing It In

Mathematical Sciences: Some Research Trends (National Academy of Sciences

  • Mathematical Sciences: Some Research Trends (National Academy of Sciences
  • 1988

Not. Am. Math. Soc

  • Not. Am. Math. Soc
  • 1986