Details for CRS251 Mathematics and Numeracy (Years K-2)

This subject equips Teacher Education Students (TES) to teach K–2 mathematics and numeracy with strong content knowledge and evidence-informed pedagogy aligned to NSW Mathematics K–10 (2022) and ACARA v9. TES develop deep understanding of early-years concepts—subitising, counting principles and cardinality, teen numbers as ten + ones, part–part–whole within 20, equal groups/fair share, informal units for length/area, and time to the hour/half-hour—and learn to teach through Concrete → Pictorial → Symbolic (C→P→S) progressions and explicit instruction (model → guided → independent). The subject emphasises brief diagnostic probes, checks for understanding, spaced retrieval, and child-friendly learning intentions/success criteria, alongside differentiation for EAL/D, students with disability, and culturally responsive approaches for Aboriginal and Torres Strait Islander learners. TES design sequenced lessons, use moderation and assessment for learning, and apply safe, purposeful ICT (evidence capture, simple progress monitoring, plain-language communication with parents/carers). A Christian worldview frames ethical, relational practice—care, fairness and purpose—valuing every child and community. 

Quick Stats

  • Currently offered by Alphacrucis: Yes
  • Course code: CRS251
  • Credit points: 10

Subject Coordinator

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

Prerequisite

  • EDU103 Foundations of Christian Education 
  • EDU116 Introduction to Learning Theory 

Unit Content

Outcomes

  1. Demonstrate core K–2 numeracy/mathematics content and communicate with precise early-years language. 
  2. Explain and apply evidence-based K–2 pedagogies including explicit modelling with manipulatives. 
  3. Plan and justify sequenced K–2 lessons and assessment aligned to NSW/ACARA content and the proficiencies with clear child-friendly appropriate checks for understanding, and moderation-ready evidence. 
  4. Differentiate K–2 instruction and assessment to support diverse learners (including Aboriginal and Torres Strait Islander students, EAL/D learners, students with disability), using predictable routines, accessible representations, entry points, and reasonable adjustments. 
  5. Use ICT purposefully and safely in K–2 to capture learning evidence, monitor progress, give feedback, and communicate with parents/carers in plain language, ensuring privacy and ethical practice. 

Subject Content

  1. Orientation; the role of mathematics and numeracy; proficiencies; Christian worldview frames of care, fairness and purpose.
  2. How children learn mathematics; misconceptions; diagnostic checks; linking prior knowledge
  3. Number & Algebra I: place value, operations, patterns; explicit instruction cycle & worked examples
  4. Number & Algebra II: multiplicative beginnings; sharing & grouping; fractions as fair share
  5. Measurement & Space I: length & area; informal → formal ideas; estimation 
  6. Measurement & Space II: capacity, mass, time; 2D shapes & location; K–2 tools
  7. Statistics & Probability I: questions, sorting, simple data displays; chance language
  8. Statistics & Probability II: describe & compare; critical numeracy at K–2 level
  9. Planning K–2 lessons & mini-sequences: outcomes, LI/SC, checks, feedback
  10. Differentiation & inclusion in K–2: EAL/D, high progression, learners with gaps; classroom management
  11. Assessment for learning in K–2: probes, rubrics, moderation, progress monitoring; ICT for records/parent comms
  12. Teaching approaches for K–2: explicit instruction + purposeful play & problem-solving; synthesis

This course may be offered in the following formats

  • Face to face on site (extensive) 
  • Face to face on site (intensive)
  • E-learning (online/synchronous) 

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

Assessment Methods

  1. Portfolio – Numeracy Diagnosis and Targeted Practice Routine (K–2) (20%)
  2. Critical Reflection (35%)
  3. Lesson Pair + Live Microteach & Moderation (45%)