There can be lots of questions when getting started so here are some answers to some common questions, grouped thematically. Our Glossary may also be very helpful when starting out!
If you have a question (or answer!) that you think should be here, do get in touch!
Different people have different accessibility needs so digital content (including mathematics) needs to be adaptable to these different needs. Ideally, content should:
be able to be copied and pasted;
have adaptable font and font colour;
be easily converted to different document formats such as HTML, PDF, EPUB;
look clear on different screen sizes and zoom levels (so should be reflowable);
be navigable using only a keyboard;
work with screen reading software.
If content works with screen reading software, then it is generally "machine-readable" and therefore generally accessible.
Basic good accessability practice is still required with:
Structured content with headings;
Descriptive hyperlink;
Labelled tables and images;
Alternative text for images and diagrams.
One of the most important ways that we improve digital accessibilities is by designating structure: we label images, headings, blocks of text, quotes and so on. This means that those structures can be appropriately resized, repositioned and interpreted by any assissitive technology. Generally, they follow on from each other in a subsequential linear fashion.
Mathematics is itself highly structured but this adds a lot of digital complexity as all of these structures need to be compatable. For example, consider the following mathmatical expressions:
They all have very different mathematical meaning conveyed by the relative position of the digits 2 and 3. This relative positioning not only has to be maintained as page zooms or reflows, it also has to be interrepted accurately for the likes of screen readers. Mathematics quickly moves beyond linear formats and requires more complex hierachical structures where the grouping of symbols and semantic meaning comes as much from the whole structure as it does the individual symbols. Even the reading order is not always clear. Furthermore, mathematical meaning is sometimes encoded in the font choice or the use of an upper case, rather than lower case, letter. Trying to encode these semantics is hard but inmportant if you want to, for example, resize a long equation and potentially make it reflow into a new line: where that line break is can change the meaning of the mathematics.
Assitive technologies are also not always designed with mathematics in mind. Braille has a limited mathematical vocabulary and different fonts can't be effectively communicated. Screen readers have to balance how mathematics is normally spoken with the natural ambiguities this can sometimes lead to: all of the following expressions could be (and are) read as "e to the power of x plus one squared":
From an accessible content creation perspective, mathematics is therefore difficult as all of this wider mathematical meaning needs to be accounted for, properly inputted and then correctly interrepted by (potentially) a series of software before the end user can access it.
In the UK, the 2010 Equality Act requires that educational instititions make "reasonable adjustments for disabled students and staff" which includes making sure digital content is accessible. These requirements are more explicitly stated by the Public Sector Bodies (Websites and Mobile Applications) Accessibility Regulations of 2018. There, all public sector organisations, including universities, must publish an accessibility statement and meet the Web Content Accessibility Guidelines (WCAG) 2.2 AA standard.
When content cannot be made fully accessible, accessible alternatives must be provided. Section 7 of the 2018 Accessibility Regulation states that when it is a "disproportionate burden" to fully meet this standard, an alternative should be provided and this should be highlighted in the accessibility statement. University accessibility statements do sometimes mention difficulties around mathematical content but you should always check with your institution.
The EU and many other international legislation require the same WCAG 2.2 AA standard.
PDFs (Portable Document Format) were initially designed to preserve consistant presentation across print and different computer systems. Formatting and visual appearance is therefore prioritised over semantic structure meaning:
content is not reflowable so does not adapt to different screen sizes or zoom levels;
easily editable making note taking and editting, particularly with mathematical content, difficult;
PDFs are not always accurately read by assistive technologies.
A tagged PDF includes more structure information (such as headings, paragraphs and lists etc.) which makes them easier to interpret to screen readers and other adaptive software. Tagging for mathematical content has very much improved recently but does still require active intervention on the authors part with additional input software such as MathType, or accessibility packages in LaTeX for example. Moreover, even with a well authored PDF, not all PDF readers can currently correctly process this information meaning screen readers may still struggle to accurately interpret mathematical content.
It is worth remembering that most students still prefer to work with PDFs and they still have an important role to play in accessible educational content.
A video showing an untagged PDF being read by a screen reader.
LaTeX is a typesetting and document preparation programme, widely used in STEM content, linguistics and beyond. It allows for a wide range of symbols, including mathematical symbols, to be typed. It is a common way to input mathematical content including, for example, with the MS Equation Editor.
The accessibility issues with LaTeX mainly stem from the document preparation side. The system is designed to deal with output and formatting issues with minimal input from the author. However, these output standards have not (yet) been fully adapted to meet more complex accessibility needs as technologies have improved meaning documents produced with LaTeX may not be screen-readable. This is being actively worked on and more packages for improved accessibility are being developed.
LaTeX is the standard used to type mathematics within the international mathematical community and beyond. It is widely taught to undergraduates on maths degrees and beyond.
While not all mathematical content within higher education needs to (or indeed should) use LaTeX, there are areas of mathematics where it is essential. It is also the system that many academics have been using to create their own resources for years, and is the workflow they are familar with.