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

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. Introduction to Subject. Assessment 1 Introduction to Conceptual Development in Algebra Representations. Reasoning and developing understanding. Assessments 2 sample questions. Assessment 3 discussion of lesson plans 
2. Research of Algebra Models to support multiplication and division. Representations using digital technologies. 
3. Current issues in mathematics education; Assessment 1 preparation and library search workshop.
4. Algebra lines and associated thinking K-10 in the Australian Syllabus 
5. Curriculum Development Looking at the bigger picture. Discussion about influences on mathematics teaching. Teacher planning approaches – Assessment 2 practice questions and feedback to students 
6. Motivation & Engagement: Teacher-friendly tools for assessing motivation & engagement 
7. Motivation & Engagement: Growth Mindset, Fixed Mindset. Encouraging Persistence with challenging algebraic tasks 
8. Recognising and creating tasks with the potential to be obstacles to teaching effectively 
9. International standards of mathematics learning. PISA in the OECD. Assessment 3 discussion Part 1. 
10. Longitudinal lesson planning in K-6 Mathematics. Assessment 3 discussion Part 2. 
11. Student-centred approaches in developing algebraic thinking 
12. Engaging Students with Algebra: Writing up Learning Objectives VS Parabolic teaching for gifted students.  

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 and presentation (45%)
• Online Quiz (supervised) (10%)
• Longitudinal Lesson Plans and presentation (45%)