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Details for CRS355 Mathematics Specialisation – Algebra

This unit is designed to strengthen mathematical discipline knowledge and pedagogy in a targeted, difficult-to-learn (and teach) content area from a K-10 perspective. The unit focuses on the development of conceptual understanding in the problematic subject area of Algebra.

Students will consider the timing of algebraic mastery – from recall of times tables to algebraic processing, complete an algebra test which is designed to help future teachers understand where Primary algebra is applied in High School Mathematics, and consider the best way to longitudinally teach algebra in Primary school.

Quick Stats

  • Currently offered by Alphacrucis: Yes
  • Course code: CRS355
  • Credit points: 10

Subject Coordinator

Contact studentsupport@ac.edu.au for more information.

Prerequisite

  • EDU103 Foundations of Christian Education 
  • EDU116 Introduction to Learning Theory 
  • CRS208 – Primary Mathematics 1 
  • CRS209 – Primary Mathematics 2 
  • EXP321 – Professional Experience 1 

Unit Content

Outcomes

  1. Demonstrate advanced development of specialised mathematical content knowledge in algebra, and pedagogy for enhancing student engagement and conceptual understanding
  2. Synthesise current research, curriculum and policy documents to inform the on-going improvement of effective practices for teaching mathematics, in particular algebra. 
  3. Demonstrate confidence and competency in the implementation of a range of effective teaching approaches in mathematics with particular reference to algebra 
  4. Demonstrate advanced knowledge and skills in planning for teaching in mathematics at classroom and school levels 
  5. Demonstrate advanced development of professional confidence and interpersonal communication. 
  6. Critically reflect on issues in mathematics education which relate to algebra. 

Subject Content

  1. Module 1: Foundations (Weeks 1-3)
  2. Number sense as the foundation of algebra
  3. Equality, equivalence and relational thinking
  4. Module 2: Developing Algebraic Thinking (Weeks 4-6)
  5. The Number Sense and Algebra Strand in the Australian Curriculum
  6. Introducing variables and symbolic representation
  7. Module 3: Teaching Algebra Effectively (Weeks 7 – 11)
  8. Representations and models
  9. Diagnosing misconceptions and learning difficulties
  10. Student-centred algebra teaching and student engagement
  11. Longitudinal planning; Designing K-6 pathways; Backward mapping from Year 7 algebra; Sequencing concepts across primary school;Primary-secondary transition
  12. Contemporary Issues in Algebra Education; Procedural fluency vs conceptual understanding; Explicit instruction vs Inquiry Learning debates; Curriculum reform & PISA implications; Equity & Gifted Education; Future directions in Maths education
  13. Current issues in mathematics education; Assessment 1 preparation and library search workshop.

This course may be offered in the following formats

  • E-learning (online/asynchronous) 
  • ​​E-learning (online/synchronous) 

Please check the timetable to see when this subject will next be offered at Alphacrucis University College.

Assessment Methods

  • Research Presentation – From Number Sense to Algebraic Thinking (35%)
  • Diagnosing Algebraic Thinking (20%)
  • Longitudinal Planning for Algebraic Thinking (45%)