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Mathematics Concepts and Processes and the EYLF2.0

The Australian Early Years Learning Framework [EYLF] (AGDE, 2022) is designed to guide educators' decision-making across a range of content areas, including mathematics. With this in mind, it is helpful to consider the most explicit presence of mathematics concepts and processes in its observational indicators and suggestions for learning experiences.

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Concepts and Processes

Concepts are the nouns of mathematics e.g., 2D shape, line, length, partitioning, area, capacity.

Processes are the adjectives of mathematics, e.g. counting, locating, playing, measuring, reasoning, problem-solving, communicating, and explaining.

For more information, click on the tree to go to our Concepts and Processes page.

Mathematics Concepts and Processes in the EYLF2.0

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There are 5 Learning Outcomes in the EYLF, forming part of its wholistic vision of Belonging, Being and Becoming. These Outcomes are divided into Key Components (KC). These KCs are subdivided into two sections based on observable indicators, and suggestions for educators.

Click on the  EYLF front page link to go to the full document.

 

There are general problem solving processes in the EYLF2.0 (AGDE, 2022) which promote a range of learning and thinking skills. These are often transferable to mathematics problem solving situations.

For this article, we will focus on those that specifically mention mathematics or appear to be associated with mathematics concepts based on aligned educator-implementation advice. New indicators, added since the first EYLF was published in 2012, are identified.

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Learning Outcome 4: Children are confident and involved learners

KC 2: Children develop a range of learning and thinking skills and processes such as problem solving, inquiry, experimentation, hypothesising, researching and investigating

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Evident when children:

  • create and use representation to organise, record and communicate mathematical ideas and concepts

  • make predictions and generalisations about their daily activities, aspects of the natural world and environments, using patterns they generate or identify and communicate these using mathematical language and symbols

  • contribute to mathematical discussions and arguments

  • use a range of strategies and digital tools to organise and represent mathematical and scientific thinking (new)

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As a result of these observations, educators promote learning when they:

  • model mathematical and scientific language, e.g. count out loud and point out patterns (new)​

  • use cooking experiences, as well as sand and water play, to support mathematical and scientific skills such as observation, reasoning and measurement (new)

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Learning Outcome 5: Children are effective communicators

KC1: Children interact verbally and non-verbally with others for a range of purposes

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Evident when children:

  • demonstrate an increasing understanding of measurement and number using vocabulary to describe size, length, volume, capacity and names of numbers

  • use language to communicate thinking about quantities to describe attributes of objects and collections, and to explain mathematical ideas

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As a result of these observations, educators promote learning when they:

  • include real-life resources to promote children’s use of mathematical language

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KC4: Children begin to understand how symbols and pattern systems work

  • notice and predict the patterns of regular routines and the passing of time

  • begin to sort, categorise, order and compare collections and events and attributes of objects and materials in their social and natural worlds

  • begin to identify and use the names of basic colours and simple shapes

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As a result of these observations, educators promote learning when they:

  • provide children with access to a wide range of everyday materials that they can use to create patterns and to sort, categorise, order and compare

  • engage children in noticing, using and discussing symbol systems, such as, letters, numbers, time, money, musical notation and other symbols children are exposed to in the environment, texts and images 

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What do we notice?

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The mathematical concepts that are highlighted by their inclusion in these indicators are: patterns, counting, length, volume, capacity, 3D, time, data

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The mathematical processes mentioned are: noticing, observing, sorting, classifying, ordering, comparing, organising, identifying, naming, recording, communicating, predicting, explaining, discussing, reasoning, generalising, representing, and modelling.

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Click on the links to see our pages about these concepts and processes.

Numeracy or mathematics?

EYLF2.0 Learning Outcome 5: Children are effective communicators raises the importance of numeracy (and literacy) capabilities for communication and successful learning.

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In the introduction to Outcome 5, being numerate is defined as: the capacity, confidence and disposition to use mathematics in daily life.

Further: to build numeracy, children explore powerful mathematic (sic) ideas in their world including spatial sense, geometric and algebraic reasoning, structure and pattern, number sense, data and probability reasoning and measuring, along with drawing connections and argumentation.

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In the first iteration of the EYLF (AGDE, 2012), a glossary definition of numeracy was provided.

The 2022 EYLF glossary added a composite definition of mathematics and numeracy (below).

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Mathematics and numeracy: broadly includes understandings about numbers, patterns, measurement, time, spatial awareness and chance, and data, as well as mathematical thinking, reasoning and counting  

(AGDE, 2022, p. 67)

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Both definitions include mathematical concepts and processes. The only change in the definition from one iteration to the other is the inclusion of the concepts of time and chance.

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People sometimes use mathematics and numeracy interchangeably. If we consider a definition offered by the Australian Curriculum: Mathematics V9 (ACARA), we can see that mathematics is the body of knowledge that is essential to promote numeracy (its functional application).

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The study of mathematics is central to the learning, development and prospects of all young Australians. Mathematics provides students with essential mathematical knowledge, skills, procedures and processes in number, algebra, measurement, space, statistics and probability. It develops the numeracy capabilities that all students need in their personal, work and civic lives, and provides the fundamentals on which mathematical specialties and professional applications of mathematics are built. 

(https://v9.australiancurriculum.edu.au/teacher-resources/understand-this-learning-area/mathematics)

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References:

Australian Department of Education. (2022). Belonging, being & becoming: The early years learning framework for Australia V2.0. https://www.acecqa.gov.au/sites/default/files/2023-01/EYLF-2022-V2.0.pdf

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