How does a change in mathematical disposition and working mathematically work together?
To tackle this question it is necessary to completely strip down what working mathematically is and how it fits not only within the curriculum but also within the content. The statements and definitions of working mathematically can be stripped back to the most basic of elements. Working Mathematically is divided into 5 different areas.
To further understand exactly what is required when working mathematically and to understand what we are looking for in students the working mathematically detailed descriptions were used to build Learning intentions and Success Criteria for each element.
Within our grade team, this deeper unpack led to a greater focus on Reasoning, Problem Solving and Communicating. This is because the skills that students display from the core of the Youcubed framework actually work hand in hand with working mathematically.
The many ways we see mathematics. – Problem solving
Mistakes are beautiful things. – Reasoning
When you believe, amazing things happen. – Problem Solving and Understanding
Conjectures, creativity and uncertainty – Problem Solving and Reasoning
Engaging visual pathways. – Problem Solving, Communicating, Reasoning, Understanding
Strategies for learning maths. – Reasoning and Fluency
Speed is not important – Problem Solving, Fluency, Reasoning
Our brains constantly change and grow. – Problem Solving and Reasoning
Believe in yourself. – All five areas
This led to – the influence of working mathematically when students are tasked with problems.