Pre-requisites

Minor study in Mathematics as per VIT Specialist Area Guidelines

ED920. Developmental Learning and Pedagogy
ED930 Classroom Management

Co-requisites

ED960 Integrting ICT Across the Curriculum
ED900 First Nations Peoples and Culturally Responsive Teaching

Learning Outcomes

On successful completion of this unit, the student will be able to:

• Use advanced knowledge of the discipline and understanding of research into how students learn to critically analyse state and national curriculum to select and organise content into an effective learning and teaching sequence, providing scope in the junior and middle years of secondary schooling to meet the specific learning needs of students across the full range of abilities, including literacy and numeracy, for the development of Mathematics appreciation and skills.

• Apply expert understanding of how students learn Mathematics, curriculum, assessment, reporting, a range of teaching strategies, including differentiated, to design learning sequences and lesson plans incorporating a range of effective teaching strategies that are responsive to the learning strengths and needs of students across the full range of abilities from diverse linguistic, cultural, religious and socioeconomic backgrounds.

• Apply advanced knowledge to critically analyse the various theoretical frameworks that drive and shape the teaching of Mathematics including from a Christian perspective.

• Develop learning goals that provide achievable challenges for students of varying abilities and characteristics.

• Create and evaluate a variety of assessment strategies to meet the full range of diverse student needs and development in Mathematics, undertake assessment of example tasks and apply assessment moderation procedures.

• Critically apply reflexive practice to their own learning process and ongoing development as a teacher including their understanding of the Christian faith in the context of Christian worldview, Scriptures and broader vocation.

• Demonstrate knowledge and understanding of the concepts, substance and structure of the content and teaching strategies of Mathematics Years 7-10, including the organisation of classroom activities and provision of clear directions.

• Demonstrate knowledge of a range of resources, including ICT, and apply creativity and initiative in incorporating them into the planning and teaching of Mathematics Years 7-10 appropriate to the learning and teaching context to engage students in their learning.

Unit Description

This unit covers the Mathematics learning area of State and National Curriculum Yrs. 7-10. The unit will engage with current knowledge and understanding about the various strategies and features for developing effective lessons and assessments to engage a diverse range of students in Mathematics. Students will incorporate appropriate use of ICT for Mathematics processes and for enhancing learning experiences in this discipline. Students will develop a critical understanding from a Christian perspective of the various frameworks that have driven and shaped the teaching of Mathematics. Students will also engage in providing grading and feedback of various assessment tasks in line with proficient teaching and current research in order to maximise effectiveness and quality of learning in Mathematics.

Topics

1. The Curriculum, its Frameworks and a Christian Perspective.
2. Knowing the students I teach.
3. Key features of planning and sequencing tasks and lessons that include progression and curriculum aligned learning objectives that allow students to show evidence of mastery.
   - Developing worked examples - Problem solving activitries - Spacing and Retrieval practice: consolidation of long-term memory
4. Techniques and Strategies for teaching Mathematics including the integration of ICT and other resources.
   - Explicit instruction: modelling and scaffolding.
5. Feedback and Assessment.
6. Using data to improve teaching and learning.
   - Including using diagnostic data – beginning instruction where the students are at and limiting cognitive overload.
7. Differentiation for progressing all students along the Mathematics continuum.
8. Reflection on what pre-service teachers are coming to know about effective Mathematics teaching in the middle years.

Learning Experiences

Topic 3 Designing for Progression: Curriculum-Aligned Planning and Sequencing (cc 2.1.1,2.1.2)

As a class, dissect a unit of work (provided by the lecturer).

Key things to look for:
- Progression from concrete to abstract understandings of the content
- Learning objectives
- Mastery criteria
- Spacing and retrieval practice

As individuals, Reflective Discussion prompt (in Canvas):

Think about a lesson or sequence you have observed or taught. How was it structured? Was it coherent and developmentally appropriate? What evidence did students use to show understanding or mastery?

(cc 2.1.3) In Groups: Design 3 lessons that include:

• Deliberate planning and sequencing of tasks
• Spacing and Retrieval practice
• Progression of learning
• Clear learning objectives towards mastery

Skills assessed: lesson sequencing, goal setting, understanding the brain, analysis and reflection

Topic 4 (cc 1.3.3)

PSTs choose a learning objective from an existing unit plan or from the general discipline area curriculum. They are to create 2 worked examples to meet that objective

Discussion:
How could you use these examples in a sequence of lessons? How might you phase them out to promote independent learning (eg developing problem-solving)?2)

Skills assessed:
Worked example development, lesson sequencing and understanding of novice to expert learning.

Topic 6 Starting points and managing cognitive overload (cc2.2.2)

Think-Pair-Share: “What do you remember about a time when a teacher gave you unclear instructions? What was the impact on your learning?

In Groups: Choose a learning task from your discipline area and a year level:
- Consider the expected prior knowledge of the cohort
- Choose a starting place for the learning and clearly articulate what your expectations are regarding the students and their starting point.
- Write a learning intention and success criteria
- Break task into 3-5 manageable chunks
- Assign a clear instructional step and goal to each chunk.

Reflection Idea

“How will I use clarity and chunking to support future students?”

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Unit offerings

Please note

The Unit Offerings listed above are a guide only and the timetable for any year is the final authority. The College may vary offerings based on demand, regulatory requirements, continual improvement processes or other conditions.

This unit may be available in different modes of delivery i.e. online and face-to-face as listed above. The unit content will not differ between these modes of delivery. There will possibly be a difference in the schedule and/or the prescribed assessment tasks, however both will cover and assess the same content.