Mathematics is a language, and as a result is has various words and phrases which are used to represent specific concepts. However, what distinguishes mathematics is that it also has a language of symbols and notations, which are used to manipulate the concepts.
Mathematics is essentially manipulable representations, and in order to develop proficiency and competence in mathematics it is required to develop an initial proficiency and competence in the language of mathematics.
However, this language is large and complex when seen as a unit, but it manageable when divided into parts, as is structured into the school curricula.
The goal of Programme TN is to develop an authentic and peer-reviewed source of all mathematical terms and notations, as an aid to all mathematics scholars. The goal is specifically to render these terms and notations accessible to teachers and learners at all levels.
A secondary goal is to help people to understand the interconnectedness of mathematics through exploration of this structure repository.
The outcome of this programme is a structured repository of mathematical terms and notations, with sufficient information to define these for the benefit of the various users and to put these into their context.
The structure will be that of a thesaurus of terms, to enable a range of relationships to be included, such as general-specific relationships, and related terms, as well as synonyms and alternate forms.
We have been compiling a list of all mathematical terms and notations for many years, and these have been structured into a database with searchable access.
These will form the core of the repository, and from this we will continue to improve the structural relationships between the terms, and aim for consistent and accurate definitions for each.
For every term and notation, examples will be provided sufficient to understand the term.
A set of “big” terms will be used which identify major parts of mathematics, which are mostly taught as a unit, and which represent the key topics in a mathematics syllabus, such as Arithmetic, Trigonometry, Analytical Geometry, Statistics, etc… One important outcome of this repository is to explore how mathematics is highly connected, and how each of these topics draws on others.