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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. 
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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. 
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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. 
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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.
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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?
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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.
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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.
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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.
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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."
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http://www.iste.org/Content/NavigationMenu/Advocacy/Top_Ten_in_10.htm - 87 views

  • Establish technology in education as the backbone of school improvement
  • Leverage education technology as a gateway for college and career readiness
  • Ensure technology expertise is infused throughout our schools and classrooms.
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  • Continuously upgrade educators' classroom technology skills as a pre-requisite of "highly effective" teaching
  • Home Advocacy Top Ten in '10: ISTE's Education Technology Priorities for 2010 Through a common focus on boosting student achievement and closing the achievement gap, policymakers and educators alike are now reiterating their commitment to the sorts of programs and instructional efforts that can have maximum effect on instruction and student outcomes. This commitment requires a keen understanding of both past accomplishment and strategies for future success. Regardless of the specific improvement paths a state or school district may chart, the use of technology in teaching and learning is non-negotiable if we are to make real and lasting change.  With growing anticipation for Race to the Top (RttT) and Investing in Innovation (i3) awards in 2010, states and school districts are seeing increased attention on educational improvement, backed by financial support through these grants. As we think about plans for the future, the International Society for Technology in Education (ISTE) has identified 10 priorities essential for making good on this commitment in 2010: 1. Establish technology in education as the backbone of school improvement . To truly improve our schools for the long term and ensure that all students are equipped with the knowledge and skills necessary to achieve in the 21st century, education technology must permeate every corner of the learning process. From years of research, we know that technology can serve as a primary driver for systemic school improvement, including school leadership, an improved learning culture and excellence in professional practice. We must ensure that technology is at the foundation of current education reform efforts, and is explicit and clear in its role, mission, and expected impact. 2. Leverage education technology as a gateway for college and career readiness . Last year, President Obama established a national goal of producing the highest percentage of college graduates in the world by the year 2020. To achieve this goal in the next 10 years, we must embrace new instructional approaches that both increase the college-going rates and the high school graduation rates. By effectively engaging learning through technology, teachers can demonstrate the relevance of 21st century education, keeping more children in the pipeline as they pursue a rigorous, interesting and pertinent PK-12 public education. 3. Ensure technology expertise is infused throughout our schools and classrooms.  In addition to providing all teachers with digital tools and content we must ensure technology experts are integrated throughout all schools, particularly as we increase focus and priority on STEM (science-technology-engineering-mathematics) instruction and expand distance and online learning opportunities for students. Just as we prioritize reading and math experts, so too must we place a premium on technology experts who can help the entire school maximize its resources and opportunities. To support these experts, as well as all educators who integrate technology into the overall curriculum, we must substantially increase our support for the federal Enhancing Education Through Technology (EETT) program.  EETT provides critical support for on-going professional development, implementation of data-driven decision-making, personalized learning opportunities, and increased parental involvement. EETT should be increased to $500 million in FY2011. 4. Continuously upgrade educators' classroom technology skills as a pre-requisite of "highly effective" teaching . As part of our nation's continued push to ensure every classroom is led by a qualified, highly effective teacher, we must commit that all P-12 educators have the skills to use modern information tools and digital content to support student learning in content areas and for student assessment. Effective teachers in the 21st Century should be, by definition, technologically savvy teachers. 5. Invest in pre-service education technology
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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.
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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?
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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).
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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.
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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?
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Think Again: Education - By Ben Wildavsky | Foreign Policy - 31 views

  • But when the results from the first major international math test came out in 1967, the effort did not seem to have made much of a difference. Japan took first place out of 12 countries, while the United States finished near the bottom.
  • By the early 1970s, American students were ranking last among industrialized countries in seven of 19 tests of academic achievement and never made it to first or even second place in any of them. A decade later, "A Nation at Risk," the landmark 1983 report by the National Commission on Excellence in Education, cited these and other academic failings to buttress its stark claim that "if an unfriendly foreign power had attempted to impose on America the mediocre educational performance that exists today, we might well have viewed it as an act of war."
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      US has long been mediocre or at the bottom of international comparisons, but it's not a zer-sum game
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  • J. Michael Shaughnessy, president of the National Council of Teachers of Mathematics, argues that the latest PISA test "underscores the need for integrating reasoning and sense making in our teaching of mathematics." Randi Weingarten, head of the American Federation of Teachers, claims that the same results "tell us … that if you don't make smart investments in teachers, respect them, or involve them in decision-making, as the top-performing countries do, students pay a price."
    • marcmancinelli
       
      People use crises to advance their own agendas...
  • But don't expect any of them to bring the country back to its educational golden age -- there wasn't one.
  • According to the most recent statistics, the U.S. share of foreign students fell from 24 percent in 2000 to just below 19 percent in 2008. Meanwhile, countries like Australia, Canada, and Japan saw increased market shares from their 2000 levels, though they are still far below the American numbers.
  • And even with its declining share, the United States still commands 9 percentage points more of the market than its nearest competitor, Britain.
  • A 2008 Rand Corp. report found that nearly two-thirds of the most highly cited articles in science and technology come from the United States, and seven in 10 Nobel Prize winners are employed by American universities. And the United States spends about 2.9 percent of its GDP on postsecondary education, about twice the percentage spent by China, the European Union, and Japan in 2006.
  • But over the long term, exactly where countries sit in the university hierarchy will be less and less relevant, as Americans' understanding of who is "us" and who is "them" gradually changes. Already, a historically unprecedented level of student and faculty mobility has become a defining characteristic of global higher education. Cross-border scientific collaboration, as measured by the volume of publications by co-authors from different countries, has more than doubled in two decades.
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    A great perspective piece on American education compared to the world.
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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.
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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.
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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.
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Metacognition in Education - 14 views

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    "Metacognition is widely accepted as "thinking about thinking", often inspired by the work in the 1970s of John Flavell, and its impact in educational circles cannot be denied. Indeed, John Hattie concluded that Metacognitive strategies have a positive impact score of D=0,69 - just outside the top ten of the most effective pedagogical strategies available to teachers - when sustained in the classroom. Additionally, the Educational Endowment Foundation advocate that Metacognition provides a 'high impact for low value', being easy to implement. Furthermore, Singapore's education system implemented Metacognition into their mathematics curriculum in the early 2000s, and their results speak for themselves."
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dy/dan » Blog Archive » What Silicon Valley Gets Wrong About Math Education A... - 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.
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