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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

Bringing concepts to early learning in Mathematics - The Learner's Way - 4 views

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    Our beliefs about mathematics play a significant role in how we approach learning within the discipline. These beliefs are established by the nature of our early engagement with mathematics and are difficult to change once established. For many people mathematics is viewed as a subject that is not for them. Indeed the situation is so bad that many people will say that they are not a maths person and approach mathematics with fear and anxiety. 
Nigel Coutts

A Conceptual approach to Big Understandings and Mathematical Confidence - The Learner's... - 15 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

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. 
Nigel Coutts

Perseverance and Mathematics - A mathematical journey to Mars - The Learner's Way - 9 views

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    The landing of the Perseverance rover on Mars is an excellent catalyst for a discussion with students about the nature of Mathematics. It is a chance to inspire curiosity and wonderment and to do so through a mathematical lens.
BTerres

The Museum of Mathematics - 125 views

shared by BTerres on 29 Dec 10 - Cached
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    The Museum of Mathematics strives to enhance public understanding and perception of mathematics. Its dynamic exhibits and programs will stimulate inquiry, spark curiosity, and reveal the wonders of mathematics. The museum's activities will lead a broad and diverse audience to understand the evolving, creative, human, and aesthetic nature of mathematics
Nigel Coutts

Agency and Mathematics - The Learner's Way - 6 views

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    Of all the subjects that our students engage in, mathematics is the one most requiring an injection of learner agency. What is it about mathematics that engenders it to modes of teaching that are so heavily teacher-directed? How might this change if we seek to understand the place that learner agency plays in producing learners who will emerge from our classrooms with a love of mathematics and a deep understanding of its beauty?
Nigel Coutts

Reflections from Mathematics: The Greatest Show - The Learner's Way - 4 views

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    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.
Nigel Coutts

Mathematical thinking presents teachers and students with new challenges - The Learner'... - 16 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

Insights into the true power of Number Talks - The Learner's Way - 5 views

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    Number Talks are a wonderful way to see where our students are with their mathematical thinking. As a part of a daily routine, a Number Talk promotes number sense and mathematical reasoning. In this post, I revisit what a Number Talk can reveal about our students' understanding of mathematics, and how they might be used to promote a fresh perspective. In addition, I examine a success criteria for Number Talks that is more expansive and recognises their true power.
Marc Patton

SIAM: Society for Industrial and Applied Mathematics - 0 views

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    Welcome to SIAM! Applied mathematics, in partnership with computational science, is essential in solving many real-world problems. Our mission is to build cooperation between mathematics and the worlds of science and technology through our publications, research, and community.
Steve Ransom

June 13, 2011 : The Daily Papert - 23 views

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    "While it's true that most people in math class don't learn much math, most kids in French class don't learn much French. But, we don't say that they are not "French-ly minded." We don't say that they don't have a head for French because we know that if they grew-up in France, they would learn French perfectly well. And I think that my image of learning mathematics is that if we all learned mathematics in "Mathland," we would all learn mathematics perfectly well. "
Marc Patton

PAEMST » Home - 1 views

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    The Presidential Awards for Excellence in Mathematics and Science Teaching are the Nation's highest honors for teachers of mathematics and science.
Martin Burrett

Physical Mathematics by @iwilsonysj - 2 views

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    "I often sit on a Thursday evening about 2000hrs and watch the ukedchat hashtag. This week it was about physical education. Although this is not one of my strong subjects in teaching (or even in real life) I was interested in the first question which asked how physical education could be related to literacy and/or mathematics. Just like a GSCE multiple choice essay question I chose to answer how it could be related to mathematics. You can see the full tweet chat conversation here - but I thought I would expand my response in this week's waffle."
Nigel Coutts

Moving Beyond Rote Learning in Mathematics - The Learner's Way - 5 views

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    How do move from an emphasis on rote learning of procedures in mathematics towards a focus on mathematical reasoning?
Marc Patton

Math for America - Fellowships, Teach in New York City, Berkeley, Boston, Los Angeles, ... - 1 views

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    We are a nonprofit organization with a mission to improve mathematics education in US public secondary schools by recruiting, training and retaining outstanding mathematics teachers.
Maughn Gregory

How to Fix Our Math Education - NYTimes.com - 63 views

  • the assumption that there is a single established body of mathematical skills that everyone needs to know to be prepared for 21st-century careers. This assumption is wrong. The truth is that different sets of math skills are useful for different careers, and our math education should be changed to reflect this fact.
  • Today, American high schools offer a sequence of algebra, geometry, more algebra, pre-calculus and calculus (or a “reform” version in which these topics are interwoven). This has been codified by the Common Core State Standards, recently adopted by more than 40 states. This highly abstract curriculum is simply not the best way to prepare a vast majority of high school students for life.
  • A math curriculum that focused on real-life problems would still expose students to the abstract tools of mathematics, especially the manipulation of unknown quantities. But there is a world of difference between teaching “pure” math, with no context, and teaching relevant problems that will lead students to appreciate how a mathematical formula models and clarifies real-world situations.
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  • For instance, how often do most adults encounter a situation in which they need to solve a quadratic equation? Do they need to know what constitutes a “group of transformations” or a “complex number”? Of course professional mathematicians, physicists and engineers need to know all this, but most citizens would be better served by studying how mortgages are priced, how computers are programmed and how the statistical results of a medical trial are to be understood.
  • Imagine replacing the sequence of algebra, geometry and calculus with a sequence of finance, data and basic engineering.
  • Traditionalists will object that the standard curriculum teaches valuable abstract reasoning, even if the specific skills acquired are not immediately useful in later life. A generation ago, traditionalists were also arguing that studying Latin, though it had no practical application, helped students develop unique linguistic skills. We believe that studying applied math, like learning living languages, provides both useable knowledge and abstract skills.
  • In math, what we need is “quantitative literacy,” the ability to make quantitative connections whenever life requires (as when we are confronted with conflicting medical test results but need to decide whether to undergo a further procedure) and “mathematical modeling,” the ability to move practically between everyday problems and mathematical formulations (as when we decide whether it is better to buy or lease a new car).
Marc Patton

Yummy Math | We provide teachers and students with mathematics relevant to ou... - 118 views

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    A site called Yummy Math. At first glance the two words may seem at odds...unless you're talking about using some food items as manipulatives. Their tagline is "We provide teachers and students with mathematics relevant to our world today …"   As I investigated further, I realized these were a collection of "math stories" that set up a real-world scenario; then they pose questions for the students to ponder and problem-solve. They are timely with current events. Currently, there are math stories on March Madness, Pi Day, Green green Chicago River, and Shamrock Shakes. You can search by month or by math standard. Each math story involves multiple math standards and new stories are regularly added.
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    We provide teachers and students with mathematics relevant to our world today
Kelly Boushell

Discovering the Art of Mathematics (DAoM) - 81 views

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    "we experience mathematics as a creative, intriguing exploration often shared with others, building up from concrete situations at-hand to a level of abstraction that makes sense for us at that time. This project focuses on creating learning environments where each learner works actively at their edge of understanding to make sense of what's just beyond this edge. Our vision is to allow the students the recognition and conviction that this power has always been with them, and will accompany them throughout their lives, wherever they go, both within and outside of mathematics."
Marc Patton

Welcome to Absurd Math - 4 views

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    Absurd Math is an interactive mathematical problem solving game series. The player proceeds on missions in a strange world where the ultimate power consists of mathematical skill and knowledge.
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