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Graph literacy

Graph literacy is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Graph literacy rather than just read about it. In short: Graph literacy is the ability to understand information that presented graphically, which are including general knowledge about how to extract information and make inferences from different graphical formats. Although related, graph literacy is distinct from other forms of literacy (e.g., general health literacy or numeracy) in the sense that it relates more specifically to one's ability to obtain meaning from infor…

Key takeaways

  • Graph literacy belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Graph literacy to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Graph literacy from memory before moving on to harder problems.

Reference excerpt

Graph literacy is the ability to understand information that presented graphically, which are including general knowledge about how to extract information and make inferences from different graphical formats. Although related, graph literacy is distinct from other forms of literacy (e.g., general health literacy or numeracy) in the sense that it relates more specifically to one's ability to obtain meaning from information presented graphically. It can include the storage of mental representations in long-term memory, knowledge about the properties of different types of formats, and procedures to interpret them. However, similar to other types of literacy, higher graph literacy is associated with higher education levels and suggests that developing the skills required to interpret graphical information requires knowledge that is acquired through formal education and experience. Graph literacy is very important in everyday life: graphs appear throughout the published media, in newspapers and magazines, on TV and on the internet, and are used to provide information for many important decisions including medical, nutritional, financial and political choices. Yet many people can have difficulty understanding even the simplest graphs. Up to one third of the general population lacks the skills needed to understand basic numerical formats (e.g., percentages or ratios) and basic graphic displays (such as bar or pie charts, line graphs, or icon arrays). While graphical displays can improve understanding and comprehension of quantitative information, such as the risks and benefits of medical treatments, they may not be helpful for everyone. Visual displays may be of greater help to people with low numeracy whereas numbers may be better for people who have poor graph literacy. Determining what type of information displays lead to better comprehension of information, and for whom, is an ongoing topic of research, particularly within the area of risk communication.

Graph comprehension Graphical displays can contain a vast amount of information such as information contained within the title, labels and axes, but also within features of the display (e.g., size, spacing, patterns in the data) that can vary in their complexity (e.g., multiple variables). Both perceptual and cognitive processes are required to interpret the information contained within a graphic display. Different processes are required to extract information depending on the task or goal, such as extracting a specific value or making inferences based on the data (e.g., predicting future trends). Graph comprehension depends not only on people's knowledge, familiarity or experience with reading graphic displays but also on the way in which the graphic is designed. For example, some features of graphs make use of spatial-to-conceptual mappings that are grounded in our everyday experience, such as the tendency for higher bars to relate to greater or larger quantities. However, other aspects need to be learned, such as arbitrary graph conventions (e.g., axis labels and scales). Graph literacy can affect how people attend to and encode some of these features.

Graph literacy scale The Graph Literacy Scale consists of 13 items and measures three abilities related to graph comprehension (see ) (1) the ability to read the data, that is, to find specific information in the graph; (2) the ability to read between the data, that is, to find relationships in the data as shown on the graph; and (3) the ability to read beyond the data, or make inferences and predictions from the data. The scale was validated in a survey conducted on probabilistic national samples in Germany and the USA. Previous measures of graph comprehension have tended to focus on the comprehension of specific features or types of graphs (e.g., line or bar graphs), incorporate relatively complex items, or have been developed in the context of examining the effects of teaching methods on the acquisition of graph skills (e.g.,). Some numeracy scales include a few items related to the comprehension of graphical information but these are limited in their ability to measure a range of graphs, features, or tasks.

References

Worked examples

Example 1 — a first encounter with Graph literacy

Start with the simplest possible case. Write down what Graph literacy claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Graph literacy before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Graph literacy ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Graph literacy

In research
Graph literacy appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Graph literacy in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Graph literacy is common in secondary-school and first-year university syllabi. It links to neighbouring topics Statistical charts and diagrams, so understanding it makes those chapters shorter.
In everyday life
Look for Graph literacy outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Graph literacy in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Graph literacy means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Graph literacy out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Graph literacy in simple terms?

Graph literacy is the ability to understand information that presented graphically, which are including general knowledge about how to extract information and make inferences from different graphical formats. Although related, graph literacy is distinct from other forms of literacy (e.g., general h…

Why does Graph literacy matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Graph literacy?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Graph literacy.

Tags

  • Statistical charts and diagrams

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