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"Number Talks" is an approach to the teaching and learning of Number Sense. Rather than relying on the rote-memorisation of isolated number facts achieved through drills of "table-facts", Number Talks aim to build confident, number fluency, where learners recognise patterns within and between numbers and understand the properties of numbers and operations. Number Talks are a "mind on" learning task that engages students in an active learning process as they search for patterns, decompose and recompose numbers and develop a flexible understanding.

The shift away from teaching for the rote memorisation of prescribed methods requires teachers to rethink their approach to the discipline. With this new pedagogy comes a need to understand the processes of mathematical thinking in ways not previously required. When we require our students to be able to reason and problem-solve through unique challenges we also require our teachers to have an understanding of the mathematical moves that their learners are likely to call upon.

Last week I spent three days thinking about curriculum and all that it means to teaching and learning thanks to the Australian Curriculum Studies Association's biannual conference. It was three days of deeply thoughtful conversation and learning with just the right mix of academic research and ideas for grounded practice straight out of innovative classrooms and schools. With keynotes by Alan Reid, Dan Haesler, Bob Lingard, Robert Randall and Jan Owen combined with Masterclasses from some of Australia's leading educators there was much on offer. The biggest challenge was deciding which workshop you would attend when every session offered such outstanding opportunities.

Sometimes, it seems the class you are teaching is more than you can cope with. The truth is all teachers face times like this. The sad part is that many good teachers decide that the best move for them in these times is to leave the profession; a trend we need to fix. 

Education exists in an uneasy domain and the teaching professional is forced to navigate between a multitude of conflicting tensions. Our education systems are dominated by abundance of voices all shouting for attention and offering a solution to the problems they have diagnosed. Each individual claims expertise and insights gained from years as a student is sufficient experience to allow one to speak with authority. - Educators need to find their voice. 

Today I had the pleasure of joining over three-hundred educators for a day of learning and sharing. That this was a Sunday and that the event was organised as a free event for educators by educators speaks volumes of the quality and care that educators bring to their role. 

Despite this being a 'thinking' conference, despite us all being advocates for structured and scaffolded models of thinking, not one group had applied any thinking routines, utilised a collaborative planning protocol or talked about applying an inquiry model or design thinking cycle. It wasn't that we didn't know about them. It wasn't that we don't know how to use them. It wasn't that we don't value them. We had all the knowledge we could desire on the how to and the why of a broad set of thinking tools and anyone of these would have enhanced the process, but we did not use any of them. Why was this the case and what does this reveal about our teaching of these methods to our students?

Reasoning is at the heart of mathematical thinking. It is what mathematicians do. But how do we teach it?

I have just had the opportunity to spend the weekend learning alongside a large group of mathematics teachers. After a day and a half of talking and thinking about mathematics teaching, I am excited to get back to school and try out some new ideas. There were also some key takeaways for me that I share below. These are the questions or wonderings that my mind wandered to while listening to the numerous talented speakers over the past two days.

There are terms within education that we use with reckless abandon and as a result cause great levels of confusion. Understanding is one such word and its usage and our 'understanding' of it can have a significant effect on the learning we plan, deliver and assess. With multiple definitions and its broad usage in curriculum documents, philosophies of teaching and learning and as an indicator of the quality or depth of student learning it is a word we should better understand. 

The consistent message is that we are preparing our students for success in a world very different to that which was the norm only a short time ago. The implications of this change are immense and require a shift in our thinking about what matters most in our classrooms. Such is the pace of change that within any school there will be multiple generations who normalise different perspective on technology and its place in their lives. What becomes clear that the skills we most need within our schools at every level are those which are critical for individuals to be empowered, self-navigating learners. But what does this mean in practical terms?

Einstein is often quoted as having said "If I have an hour to solve a problem and my life depended on the solution, I would spend the first 55 minutes determining the proper question to ask, for once I know the proper question, I could solve the problem in less than five minutes." Clearly Einstein understood how to attack puzzling problems. As teachers we face a host of puzzles on a daily basis. Every student we teach, thanks to their idiosyncrasies presents a unique puzzle. The interactions between students further complicates things. Our goals for our learners, their learning needs, the demands of the curriculum, pressures from beyond the classroom all result in puzzles for us to manage and to solve.

Our goal might be to support Deep versus Surface Learning, but what does this mean in practical terms. What are the beliefs and dispositions which support teaching for deep learning, and what are the implications of this in terms of the pedagogy we adopt?

An important part of the role of any educator is that of planning learning sequences. Perhaps you are tasked with designing curriculum or more likely you are translating a mandatory curriculum into workable units of learning. The task is complex and there are multiple arrangements. The goal is to design units that connect students with learning in ways that are meaningful and relevant. A well-designed unit of learning fits seamlessly alongside other learning opportunities and the overall sequence of learning should match the learners developing expertise. As we plan units of learning we must consider a great variety of factors which impact the learning we design. Our knowledge of our students and where they are with their learning is crucial and a strong place to start. We also need to know what it is we are required to teach and have a grab bag of pedagogical moves that bring this content alive.

Two New Free Games! Just in time for the Holiday Season - two brand new games! Test-N-Teach (TNT) is our new spelling game and Read-A-Word is our first-ever reading game. Both games are available to everyone!

Find a support system in school and use it to help EAL students in home tuition datok keramat

The goal of the Multiplication Tool is to help learners significantly improve their ability to multiply. To teach multiplication, this tool models three common solving methods, including Standard, Partial Products and Lattice. Students, or teachers, can choose the method they find most intuitive, or use the method they find most challenging.

Not posted to this group before but wondered if you'd be interested in a totally free video and interactive resource for 11-16s. Curriculum links included for UK.