Details for CRS356 Mathematics Specialisation – Measurement and Geometry

This unit is designed to strengthen mathematical discipline knowledge and pedagogy in targeted, difficult-to-learn (and teach) content areas from a K-8 perspective. The unit focuses on the development of conceptual understanding in the problematic subject areas of Measurement and Geometry.

Students will consider common misconceptions in measurement (area, perimeter, mass, volume, capacity) and geometry (2D shapes, 3D objects, angles, spatial reasoning), analyse NAPLAN numeracy data to identify areas of student difficulty, and develop evidence-based pedagogical approaches for teaching measurement and geometry across the primary years.

Quick Stats

• Currently offered by Alphacrucis: Yes
• Course code: CRS356
• Credit points: 10

Subject Coordinator

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 measurement and geometry, 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 measurement and geometry. 
3. Demonstrate confidence and competency in the implementation of a range of effective teaching approaches in mathematics with particular reference to measurement and geometry, and understand the connection to algebraic skills and content. 
4. Demonstrate advanced knowledge and skills in planning for teaching in mathematics at classroom and school levels 
5. Demonstrate a personal sense of professional confidence in the teaching of mathematics 
6. Critically reflect on issues in mathematics education which relate to measurement and geometry and demonstrate an awareness of the impact of algebraic skills on these.  

Subject Content

1. Introduction to Subject. Measurement misconceptions: area, perimeter and their relationship. Common student errors. 
2. Measurement misconceptions: mass, volume, capacity. Hands-on approaches with manipulatives. 
3. Geometry: 2D shapes and their properties. Inclusive teaching and curriculum differentiation. 
4. Geometry: 3D objects, spatial visualisation.  
5. Assessment and NAPLAN data analysis. Identifying student difficulties in measurement and geometry. (difficulties in algebra should also be noted). 
6. Surface area and volume of prisms, cylinders, cones, and spheres. Quiz preparation. 
7. Trigonometry and Pythagoras’ theorem in measurement contexts. Quiz preparation. 
8. Coordinate geometry and angle relationships.
9. Mathematics resource evaluation. 
10. Curriculum planning and STEM integration.  
11. Cross-curricular mathematics: measurement and geometry in science and technology. (impact of algebraic skills should also be noted) 
12. Summary and reflection. Connections between measurement and geometry and algebra strands. 

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

1. Misconception Report (30%)
2. Online Quiz (supervised) (20%)
3. Reflective Professional Statement and presentation (50%)