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Nigel Coutts

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

    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

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

    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

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

    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. 

The Museum of Mathematics - 124 views

shared by BTerres on 29 Dec 10 - Cached
    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

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

    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.
Steve Ransom

June 13, 2011 : The Daily Papert - 23 views

    "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

SIAM: Society for Industrial and Applied Mathematics - 0 views

    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.
Marc Patton

PAEMST » Home - 1 views

    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

    "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."
Marc Patton

Math for America - Fellowships, Teach in New York City, Berkeley, Boston, Los Angeles, San Diego, Utah, Washington DC, Math Resources, Math Education - 1 views

    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 - - 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 our world today … - 118 views

    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.
    We provide teachers and students with mathematics relevant to our world today
Kelly Boushell

Discovering the Art of Mathematics (DAoM) - 81 views

    "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

    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.
Nigel Coutts

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

    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?
BalancEd Tech

dy/dan » Blog Archive » What Silicon Valley Gets Wrong About Math Education Again And Again - 0 views

  • Mathematics, as defined by the CCSS, isn't just a series of discrete content standards. It contains practice standards, too: modeling, critiquing arguments, using tools strategically, reasoning abstractly, and others.
Marc Patton

Courses | NJCTL - 31 views

    All the digital materials needed to teach over twenty courses in Mathematics and Science are available for the free use by any student or teacher. These courses are part of the Progressive Mathematics Initiative (PMI) and Progressive Science Initiative (PSI).
Cindy Edwards

Electronic Journal for the Integration of Technology in Education - 60 views

  • Characters in alphabets began as pictures with meaning (West, 1997).
  • As history repeats itself, we may find that a great deal of information is better presented visually rather than verbally.
  • culture's
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  • predominant mode of literacy depends on the technology and mass media it embraces (Sinatra, 1986).
  • Kellner (1998) proposes that multiple literacies are necessary to meet the challenges of today's society, literacies that include print literacy, visual literacy, aural literacy, media literacy, computer literacy, cultural literacy, social literacy, and ecoliteracy.
  • Learning through orderly, sequential, verbal-mathematical, left-hemisphere tasks is a pattern seen frequently in education (West, 1997). Those whose thought processes are predominantly in the right-hemisphere where visual-spatial and nonverbal cognition activities rule frequently may have difficulty capitalizing on a learning style that is not compatible with their abilities.
  • If visual literacy is regarded as a language, then there is a need to know how to communicate using this language, which includes being alert to visual messages and critically reading or viewing images as the language of the messages.
  • Technology, particularly the graphical user interface of the World Wide Web, requires skills for reading and writing visually in order to derive meaning from what is being communicated.
  • Because visual literacy precedes verbal literacy in human development,
  • learning evolves from the concrete to the abstract; visual symbols are nonverbal representations that precede verbal symbols (Sinatra, 1986).
  • West (1997) conveys an innovative mathematics approach whereby students “do” mathematics rather than “watch” mathematics. The technique emphasizes learning through interactive graphics without words. “The words go into an idea only after the idea has already settled in our mind”(West, p.
  • The literature suggests that using visual elements in teaching and learning yields positive results.
Roland Gesthuizen

Why The Brain Benefits From Reflection In Learning - 7 views

  • Students’ confidence will build further with their recognition of the strategies they used that brought them success.
  • much of the effort put into teaching and studying is wasted because students do not adequately process their experiences, nor are they given time to reflect upon them.
  • The degree to which one understands rests on the connections or relationships and the richness of these relationships.
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  • instruction that builds conceptual knowledge helps students’ link old knowledge with new knowledge, and this means providing time for reflection and communication
    "Executive function stimulation: include questions in homework and tests that require mathematics communication. In addition to showing the steps used to solve a problem, when students are asked to explain their thinking and why they selected a procedure or what similar mathematics they related to when solving the problem, they are using more executive function. "
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