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Material taken directly from Australian Curriculum: Mathematics (v4.1) developed by the Australian Curriculum, Assessment and Reporting Authority (ACARA), is highlighted in blue.

Year 3 Mathematics: Australian Curriculum in Queensland provides an overview of the Australian Curriculum learning area within the context of a Kindergarten to Year 12 approach. It supports teachers' capacity by providing clarity about the focus of teaching and learning and the development of assessment to determine the quality of student learning. It maintains flexibility for schools to design curriculum that suits their specific contexts and scope for school authorities and school priorities to inform practice.

P–10 Mathematics provides the following materials to support teachers to develop their curriculum.

Curriculum requirements

Rationale

Aims

Australian Curriculum content

Achievement standards

Requirements are taken directly from Australian Curriculum: Mathematics (v4.1) developed by the Australian Curriculum, Assessment and Reporting Authority (ACARA).

This material is presented in blue text.

Links to Australian Curriculum support materials are also provided where appropriate.

Advice, guidelines and resources

Planning teaching and learning

Standards elaborations, A to E

Assessment advice and guidelines

Reporting advice and guidelines

Advice, guidelines and resources are based on the Australian Curriculum Year level descriptions and organisation sections. They have been developed by the Queensland Curriculum and Assessment Authority (QCAA) to assist teachers in their planning and assessment and include links to Queensland-developed supporting resources, exemplars and templates.

 

 

1.1 Rationale

Learning mathematics creates opportunities for and enriches the lives of all Australians. The Australian Curriculum: Mathematics provides students with essential mathematical skills and knowledge in Number and Algebra, Measurement and Geometry, and Statistics and Probability. It develops the numeracy capabilities that all students need in their personal, work and civic life, and provides the fundamentals on which mathematical specialties and professional applications of mathematics are built.

Mathematics has its own value and beauty and the Australian Curriculum: Mathematics aims to instil in students an appreciation of the elegance and power of mathematical reasoning. Mathematical ideas have evolved across all cultures over thousands of years, and are constantly developing. Digital technologies are facilitating this expansion of ideas and providing access to new tools for continuing mathematical exploration and invention. The curriculum focuses on developing increasingly sophisticated and refined mathematical understanding, fluency, logical reasoning, analytical thought and problem-solving skills. These capabilities enable students to respond to familiar and unfamiliar situations by employing mathematical strategies to make informed decisions and solve problems efficiently.

The Australian Curriculum: Mathematics ensures that the links between the various components of mathematics, as well as the relationship between mathematics and other disciplines, are made clear. Mathematics is composed of multiple but interrelated and interdependent concepts and systems which students apply beyond the mathematics classroom. In science, for example, understanding sources of error and their impact on the confidence of conclusions is vital, as is the use of mathematical models in other disciplines. In geography, interpretation of data underpins the study of human populations and their physical environments; in history, students need to be able to imagine timelines and time frames to reconcile related events; and in English, deriving quantitative and spatial information is an important aspect of making meaning of texts.

The curriculum anticipates that schools will ensure all students benefit from access to the power of mathematical reasoning and learn to apply their mathematical understanding creatively and efficiently. The mathematics curriculum provides students with carefully paced, in-depth study of critical skills and concepts. It encourages teachers to help students become self-motivated, confident learners through inquiry and active participation in challenging and engaging experiences.

1.2 Aims

The Australian Curriculum: Mathematics aims to ensure that students:

  • are confident, creative users and communicators of mathematics, able to investigate, represent and interpret situations in their personal and work lives and as active citizens

  • develop an increasingly sophisticated understanding of mathematical concepts and fluency with processes, and are able to pose and solve problems and reason in Number and Algebra, Measurement and Geometry, and Statistics and Probability

  • recognise connections between the areas of mathematics and other disciplines and appreciate mathematics as an accessible and enjoyable discipline to study.

1.3 Mathematics in Queensland K–12

The K–12 curriculum in Queensland is aligned to the goals for Australian schooling, as expressed in the Melbourne Declaration on Educational Goals for Young Australians 1. These goals are:

  • Goal 1 — Australian schooling promotes equity and excellence
  • Goal 2 — All young Australians become:
    • successful learners
    • confident and creative individuals
    • active and informed citizens.

To achieve these goals, the declaration commits to the development of a world-class curriculum that will enable every child to develop:

  • a solid foundation of knowledge, understanding, skills and values on which further learning and adult life can be built
  • deep knowledge, understanding, skills and values that will enable advanced learning and an ability to create new ideas and translate them into practical applications
  • general capabilities that underpin flexible and analytical thinking, a capacity to work with others and an ability to move across subject disciplines to develop new expertise.

There is an expectation that students will have learning opportunities in Australian Curriculum: Mathematics across P–10.

Figure 1 below shows the progression of the Mathematics learning area K–12 in Queensland, and includes the Queensland kindergarten learning guideline, the Prep to Year 10 Australian Curriculum and the current Queensland senior secondary courses.

Figure 1 : K–12 Mathematics Curriculum

Kindergarten Prep to Year 10 Year 11 Year 12

Queensland kindergarten
learning
guideline:

  • Communicating
P-10 Australian
Curriculum: Mathematics
Authority subjects
Mathematics A
Mathematics B
Mathematics C
Authority-registered subjects
Functional Mathematics
Prevocational Mathematics
Vocational Education and Training (VET)
Mathematics/numeracy competencies in nationally recognised certificate courses
Recognised studies

  Numeracy: A short course senior syllabus

 

1 Ministerial Council on Education, Employment, Training and Youth Affairs 2008, Melbourne Declaration on Educational Goals for Young Australians (PDF), viewed October 2012.

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