ED1635 Lecture Notes - Lecture 5: Australian Curriculum, Inductive Transfer
Mathematics - Lecture 5 - Week 5
Working Mathematically and the Proficiency Strands
Review Week 4
Constructivism:
- Active classroom
getting the children to share in this classroom with you
- Social
Being in a position to use each other to build knowledge
Guidance in learning
- Reflective
Children should understand what they are learning
Western Australian Curriculum
- Not all children will be at the same level
Proficiency Strands (Teach through content strands)
- The proficiency strands describe the actions in which students can engage when learning and using the
content. While not all proficiency strands apply to every content description, they indicate the breadth
of mathematical actions that teachers can emphasise.
Understanding
Fluency
Problem Solving
Reasoning
- The proficiency strands are an integral part of mathematics content across the three content strands
- The proficiencies reinforce the significance of working mathematically within the content and describe
how the content is explored or developed.
- They provide the language to build in the developmental aspects of the learning of mathematics. The
achievement standards reflect the content and encompass the proficiencies
Understanding
- Students build a robust knowledge of adaptable and transferable mathematical concepts. They make
connections between related concepts and progressively apply the familiar to develop new ideas. They
develop an understanding of the relationship between the ‘why’ and the ‘how’ of mathematics. Students
build understanding when they connect related ideas, when they represent concepts in different ways,
when they identify commonalities and differences between aspects of content, when they describe their
thinking mathematically and when they interpret mathematical information.
Working the algorithm
What does ‘x’ mean?
2 x 5 = 10 (Why do we split the 1 and the 0?)
2 x 1 is 2, but its really 20 in this situations (Why?)
Next Line
Add a zero - Do we really add a zero
1 x 5 - 5
1 x 1 = 1
Dpoes this develop any understanding of place value of the magnitude of the numbers
you are dealing with
Distributive Method
find more resources at oneclass.com
find more resources at oneclass.com
Document Summary
Reflective getting the children to share in this classroom with you. Being in a position to use each other to build knowledge. Not all children will be at the same level. The proficiency strands describe the actions in which students can engage when learning and using the content. While not all proficiency strands apply to every content description, they indicate the breadth of mathematical actions that teachers can emphasise. The proficiency strands are an integral part of mathematics content across the three content strands. The proficiencies reinforce the significance of working mathematically within the content and describe how the content is explored or developed. They provide the language to build in the developmental aspects of the learning of mathematics. The achievement standards reflect the content and encompass the proficiencies. Students build a robust knowledge of adaptable and transferable mathematical concepts. They make connections between related concepts and progressively apply the familiar to develop new ideas.
