###### Defining mathematical literacy

The Program for International Student Assessment (PISA) of the OECD describes mathematical literacy as:

“an individual’s capacity to identify and understand the role that mathematics plays in the world, to make well-founded judgments and to use and engage with mathematics in ways that meet the needs of that individual’s life as a constructive, concerned and reflective citizen” (OECD,1999).

Mathematical literacy therefore involves more than executing mathematical procedures and possessions of basic knowledge that would allow a citizen to get by. Mathematical literacy is mathematical knowledge, methods, and processes applied in various contexts in insightful and reflective ways. According to de Lange, mathematical literacy is the overarching literacy that includes *numeracy*, *quantitative literacy* and *spatial literacy.* Each of these type of literacy empowers the individual in making sense of and understanding aspects of the world and his/her experiences.

Spatial literacy empowers an individual to understand the three-dimensional world in which he/she lives and move. This necessitates understanding of properties of objects, the relative positions of objects and its effect on one’s visual perception, the creation of all kinds of three-dimensional paths and routes, navigational practices, etc. Numeracy is the ability to handle numbers and data in order to evaluate statements regarding problems and situations that needs mental processing and estimating real-world context. Quantitative literacy expands numeracy to include use of mathematics in dealing with change, quantitative relationships and uncertainties. Click here for deLange’s paper on this topic.

###### Implications to curriculum and instruction

To identify and understand the role that mathematics plays in the world is to be literate about mathematics and its applications. This means that individuals need to have an understanding of its core concepts, tools of inquiry, methods and structure.

To be able use mathematics in ways that meet the needs of one’s life as a constructive, concerned, and reflective citizen necessitates learning mathematics that is not isolated from the students’ experiences.

To be able to use mathematics to make well-founded judgment demands learning experiences that would engage students in problem solving and investigation as these would equip them to use mathematics to represent, communicate, and reason, to make decisions and to participate creatively and productively in the functioning of society.

These show that mathematical literacy requires learning mathematical concepts and principles that would be applicable to the individual and society’s life and activities; equip individuals the necessary skills in using mathematics to reason and make decisions; enable individuals to get a sense of the nature and power of the discipline in order to understand its role in the world.

To teach mathematical literacy, curriculum and instruction should therefore include these 3 R’s:

*R**elevant mathematical concepts, principles and procedures**R**eal-life context which can be investigated and modeled mathematically**R**ich mathematical tasks that fosters conceptual understanding and development of skills and habits of mind*

Check out these great books on mathematical literacy:

Pingback: What is mathematical literacy? « P4MRI Universitas Negeri Yogyakarta

What are numerates and non-numerates? We are asked to submit numeracy reports containing such data but we were not given instruction on how to identify these. Anyway, I’ve come up with a plan of diagnosing students level in terms of the four basic operations (MDAS) on four topics: whole numbers, integers, fractions, and decimals via pre-test and post-test ; and conduct necessary intervention when necessary . Hopefully this will give a tangible result of what is asked. Any suggestion from you?

Dear Sir/Madam

In South Africa learners at Matric level which is an exit qualification write Mathematical Literacy examinations. In these exams they are allowed to use calculators. What is your take on the use of calculators at such exams?

they must use them because as they are doing mathematical literacy shows that they were not familiar with this subject but they are doing it because its a core module; so they must use calculators as they have showed that they are not capable of this maths staff;if so ;they were going to choose maths as a major subject!