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Nigel Coutts

Do We Truly Understand Place Value? - The Learner's Way - 11 views

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    James Tanton shattered my understanding of the vertical algorithm. More than that, he helped me to see how poorly I understood place value and that many of my students function with the same misunderstanding. What made the experience more humbling was that it took him less than two minutes to do this.
Nigel Coutts

Supporting Mathematical Thinking through the Eight Cultural Forces - The Learner's Way - 18 views

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    At the heart of mathematics are a set of connected thinking dispositions. The mathematician uses these dispositions as the cognitive tools of their trade. While the traditional imagining of mathematics might be all about the accurate application of well-rehearsed algorithms and processes, in the real world of mathematics, it is all about the thinking. As we consider what our students need from their mathematical education, we should not overlook the importance of these dispositions. 
Nigel Coutts

AAMT Why Maths? - Inspiration beyond the classroom - The Learner's Way - 2 views

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    This week I spent three days in Brisbane attending the Australian Association of Mathematics Teachers' national conference. The theme of the conference was "Why Maths?" and along with 500 other mathematicians, we looked to find inspiring answers to this provocative question beyond the classroom. Here are my key takeaways from this event. 
Nigel Coutts

Mathematical thinking presents teachers and students with new challenges - The Learner'... - 15 views

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    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.
Nigel Coutts

Number Talks for Number Sense - The Learner's Way - 7 views

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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.
Nigel Coutts

A Conceptual approach to Big Understandings and Mathematical Confidence - The Learner's... - 14 views

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    This traditional pedagogy results in students developing a negative attitude towards mathematics. Many develop a mathematical phobia and believe that they are not a "maths person". When confronted by challenging mathematics they retreat and have no or only poor strategies with which to approach new ideas. This all leads to a decline in the number of students pursuing mathematical learning beyond the years where it is compulsory. Fortunately there is a growing body of research that shows there is a better way. 
Nigel Coutts

Teaching mathematicians shouldn't be like programming a computer - The Learner's Way - 11 views

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    Traditional methods of teaching maths have more in common with how we programme a computer that what we might do if we wanted to engage our students in mathematical thinking. We shouldn't be overly surprised then when our students consider mathematics to be all about learning a set of rules that they need to apply in the right order so as to output the correct response. But is there a better way?
Nigel Coutts

The messages we send about learning - The Learner's Way - 10 views

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    We send our students many messages about learning, growth, ability, potential. . . Sometimes we are sending these messages deliberately, such as when we talk about growth mindset and the rewards of effort, persistence and risk taking. At other times the messages we send are accidental, incidental and unplanned; these are often the strongest messages we send. 
Nigel Coutts

Rethinking Mathematics Education - The Learner's Way - 32 views

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    What becomes clear, as you dive further into the emerging research that connects what we know about learning, mindsets, dispositions for learning and the development of mathematical understandings, is that a new approach is required. We need to move away from memorisation and rule based simplifications of mathematics and embrace a model of learning that is challenging and exciting. We can and should be emerging all our students in the beauty and power of mathematics in learning environments full of multiple representations, rich dialogue and collaborative learning. 
Shannon Knight

Khan Academy Math - 6 views

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    Math website with tutorials, support, etc.
Nigel Coutts

Does Mathematics Education need a re-think? - 56 views

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    Once upon a time Mathematics was easy to teach. A typical lesson would begin with a direction towards a particular page of the text book and would conclude with the ceremonial marking of the answers. This process was repeated over and over, year after year and in the end students would be able to repeat the required method with a satisfactory degree of accuracy.
Amy Burns

Math Games - HOODA MATH - over 500 Math Games - 58 views

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    Fantastic variety of free math games for all age levels.
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