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Nigel Coutts

A Conceptual approach to Big Understandings and Mathematical Confidence - The Learner's... - 3 views

thelearnersway.net/...ng-and-mathematical-confidence

conceptual confidence learner mathematics education teaching

shared by Nigel Coutts on 10 Mar 19 - No Cached
  • Nigel Coutts on 10 Mar 19
     
    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

Agency and Mathematics - The Learner's Way - 9 views

thelearnersway.net/...agency-and-mathematics

mathematics education learning thinking agency

shared by Nigel Coutts on 18 May 21 - No Cached
  • Nigel Coutts on 18 May 21
     
    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

Rethinking Mathematics Education - The Learner's Way - 10 views

thelearnersway.net/...thinking-mathematics-education

mathematics education learner collaboration teaching resources

shared by Nigel Coutts on 15 Jan 17 - No Cached
  • Nigel Coutts on 15 Jan 17
     
    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

Mathematical thinking presents teachers and students with new challenges - The Learner'... - 4 views

thelearnersway.net/...d-students-with-new-challenges

thinking teachers challenges mathematics understanding education teaching learning

shared by Nigel Coutts on 21 Apr 19 - No Cached
  • Nigel Coutts on 21 Apr 19
     
    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 - 3 views

thelearnersway.net/...the-true-power-of-number-talks

education learning thinking teaching mathematics

shared by Nigel Coutts on 17 May 20 - No Cached
  • Nigel Coutts on 17 May 20
     
    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.
richardswayar

Importance of CPM Homework Help from Math Experts - 0 views

www.australiabesttutor.com/cpm-assignment-help

CPM Homework Help CPM Assignment Help College Preparatory Mathematics

shared by richardswayar on 19 Jun 19 - No Cached
  • richardswayar on 19 Jun 19
     
    Do you want to Know the importance of CPM homework help by mathematics industry experts? You can visit Australia Best Tutor to understand the College Preparatory Mathematics and gain proficiency with their suggestion.
J Black

The 21st Century Centurion: 21st Century Questions - 0 views

21stcenturion.blogspot.com/...21st-century-questions.html

21stcenturyskills

shared by J Black on 31 Jan 09 - Cached
  • The report extended literacy to “Five New Basics” - English, mathematics, science, social studies, and computer science. A Nation At Risk specified that all high school graduates should be able to “understand the computer as an information, computation and communication device; students should be able to use the computer in the study of the other Basics and for personal and work-related purposes; and students should understand the world of computers, electronics, and related technologies."That was 1983 - twenty- six years ago. I ask you, Ben: Has education produced students with basic knowledge in the core disciplines and computer science TODAY? Are we there yet? OR - are we still at risk for not producing students with the essential skills for success in 1983?
    • J Black
      J Black on 31 Jan 09
       
      I had never really considered this before...how computer science has been totally left out of the equaltion....why is that? Cost of really delivering this would be enormous -- think how much money the districts would have to pour into the school systems.
  • On June 29, 1996, the U. S. Department of Education released Getting America's Students Ready for the 21st Century; Meeting the Technology Literacy Challenge, A Report to the Nation on Technology and Education. Recognizing the rapid changes in workplace needs and the vast challenges facing education, the Technology Literacy Challenge launched programs in the states that focused on a vision of the 21st century where all students are “technologically literate.” Four goals, relating primarily to technology skills, were advanced that focused specifically on: 1.) Training and support for teachers; 2.) Acquisition of multimedia computers in classrooms; 3.) Connection to the Internet for every classroom; and 4.) Acquiring effective software and online learning resources integral to teaching the school's curriculum.
    • J Black
      J Black on 31 Jan 09
       
      we are really stuck here....the training and support -- the acquisition of hardware, connectivity etc.
  • Our profession is failing miserably to respond to twenty-six years of policy, programs and even statutory requirements designed to improve the ability of students to perform and contribute in a high performance workplace. Our students are losing while we are debating.
    • J Black
      J Black on 31 Jan 09
       
      This is really, really well said here...bravo
  • ...2 more annotations...
  • In 2007, The Report of the NEW Commission on the Skills of the American Workforce: Tough Choices or Tough Times made our nation hyperaware that "World market professionals are available in a wide range of fields for a fraction of what U.S. professionals charge." Guess what? While U.S. educators stuck learned heads in the sand, the world's citizens gained 21st century skills! Tough Choices spares no hard truth: "Our young adults score at “mediocre” levels on the best international measure of performance." Do you think it is an accident that the word "mediocre" is used? Let's see, I believe we saw it w-a-a-a-y back in 1983 when A Nation At Risk warned of a "tide of mediocrity." Tough Choices asks the hard question: "Will the world’s employers pick U.S. graduates when workers in Asia will work for much less? Then the question is answered. Our graduates will be chosen for global work "only if the U.S. worker can compete academically, exceed in creativity, learn quickly, and demonstrate a capacity to innovate." There they are
    • J Black
      J Black on 31 Jan 09
       
      This is exactly what dawns on students when they realize what globalization means for them..the incredibly stiff competition that it is posed to bring about.
  • “Learning is what most adults will do for a living in the 21st century."
  • J Black on 31 Jan 09
     
    The report extended literacy to "Five New Basics" - English, mathematics, science, social studies, and computer science. A Nation At Risk specified that all high school graduates should be able to "understand the computer as an information, computation and communication device; students should be able to use the computer in the study of the other Basics and for personal and work-related purposes; and students should understand the world of computers, electronics, and related technologies." That was 1983 - twenty- six years ago. I ask you, Ben: Has education produced students with basic knowledge in the core disciplines and computer science TODAY? Are we there yet? OR - are we still at risk for not producing students with the essential skills for success in 1983?
Judy Robison

Mathwire.com | Template Library - 0 views

www.mathwire.com/...templatelibrary.html

math

shared by Judy Robison on 17 Feb 09 - Cached
  • Judy Robison on 17 Feb 09
     
    Using Math Templates for more information about using templates: * to increase student participation in math lessons * to assess student proficiency and mathematical understanding of concepts and skills
sophiya miller

From Stress to Success: How Online Assignment Assistance Can Transform Your Grades - 2 views

In the fast-paced world of academia, juggling various courses can often lead to stress, especially when it comes to challenging subjects like math. If you find yourself grappling with complex equat...

education takemyclasscourse college university student

started by sophiya miller on 07 Dec 23 no follow-up yet
Nigel Coutts

Number Talks for Number Sense - The Learner's Way - 3 views

thelearnersway.net/...number-talks-for-number-sense

number talks sense education teaching learning mathematics

shared by Nigel Coutts on 07 Apr 19 - No Cached
  • Nigel Coutts on 07 Apr 19
     
    "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

Do We Truly Understand Place Value? - The Learner's Way - 5 views

thelearnersway.net/...trulyunderstandingplacevalue

place value learner education teaching learning number mathematics

shared by Nigel Coutts on 08 Sep 19 - No Cached
  • Nigel Coutts on 08 Sep 19
     
    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.
Carlos Quintero

Is Google Making Us Stupid? - 0 views

www.theatlantic.com/...google

articulos google

shared by Carlos Quintero on 24 Jun 08 - Cached
  • pleads
  • weirdly poignant
  • lengthy
  • ...39 more annotations...
  • strolling
  • wayward
  • struggle.
  • godsend
  • Research
  • telltale
  • Unlike footnotes, to which they’re sometimes likened, hyperlinks don’t merely point to related works; they propel you toward them
  • Marshall McLuhan
  • altogether
  • It is clear that users are not reading online in the traditional sense; indeed there are signs that new forms of “reading” are emerging as users “power browse” horizontally through titles, contents pages and abstracts going for quick wins. It almost seems that they go online to avoid reading in the traditional sense.
  • We are not only what we read
  • We are how we read.
  • above
  • When we read online, she says, we tend to become “mere decoders of information.” Our ability to interpret text, to make the rich mental connections that form when we read deeply and without distraction, remains largely disengaged.
  • etched
  • We have to teach our minds how to translate the symbolic characters we see into the language we understand. And the media or other technologies we use in learning and practicing the craft of reading play an important part in shaping the neural circuits inside our brains
  • readers of ideograms, such as the Chinese, develop a mental circuitry for reading that is very different from the circuitry found in those of us whose written language employs an alphabet.
  • subtler
  • You are right,” Nietzsche replied, “our writing equipment takes part in the forming of our thoughts.” Under the sway of the machine, writes the German media scholar Friedrich A. Kittler, Nietzsche’s prose “changed from arguments to aphorisms, from thoughts to puns, from rhetoric to telegram style.”
  • James Olds, a professor of neuroscience who directs the Krasnow Institute for Advanced Study at George Mason University, says that even the adult mind “is very plastic.
  • “intellectual technologies”—the tools that extend our mental rather than our physical capacities—we inevitably begin to take on the qualities of those technologies
  • “disassociated time from human events and helped create the belief in an independent world of mathematically measurable sequences.”
  • The “abstract framework of divided time” became “the point of reference for both action and thought.”
  • , Computer Power and Human Reason: From Judgment to Calculation
  • widespread
  • The process of adapting to new intellectual technologies is reflected in the changing metaphors we use to explain ourselves to ourselves. When the mechanical clock arrived, people began thinking of their brains as operating “like clockwork.” Today, in the age of software, we have come to think of them as operating “like computers.” But the changes, neuroscience tells us, go much deeper than metaphor. Thanks to our brain’s plasticity, the adaptation occurs also at a biological level.
  • The Internet, an immeasurably powerful computing system, is subsuming most of our other intellectual technologies. It’s becoming our map and our clock, our printing press and our typewriter, our calculator and our telephone, and our radio and TV.
  • gewgaws,
  • thanks to the growing power that computer engineers and software coders wield over our intellectual lives,
  • “to organize the world’s information and make it universally accessible and useful.”
  • For us, working on search is a way to work on artificial intelligence.”
  • Certainly if you had all the world’s information directly attached to your brain, or an artificial brain that was smarter than your brain, you’d be better off.
  • to solve problems that have never been solved before
  • worrywart
  • shortsighted
  • eloquently
  • drained
  • “inner repertory of dense cultural inheritance,
  • as we come to rely on computers to mediate our understanding of the world, it is our own intelligence that flattens into artificial intelligence.
  • Carlos Quintero on 24 Jun 08
     
    Is Google Making Us Stupid?
anonymous

Critical Issue: Using Technology to Improve Student Achievement - 0 views

www.ncrel.org/...te800.htm

shared by anonymous on 23 Feb 10 - Cached
  • Technologies available in classrooms today range from simple tool-based applications (such as word processors) to online repositories of scientific data and primary historical documents, to handheld computers, closed-circuit television channels, and two-way distance learning classrooms. Even the cell phones that many students now carry with them can be used to learn (Prensky, 2005).
  • Bruce and Levin (1997), for example, look at ways in which the tools, techniques, and applications of technology can support integrated, inquiry-based learning to "engage children in exploring, thinking, reading, writing, researching, inventing, problem-solving, and experiencing the world." They developed the idea of technology as media with four different focuses: media for inquiry (such as data modeling, spreadsheets, access to online databases, access to online observatories and microscopes, and hypertext), media for communication (such as word processing, e-mail, synchronous conferencing, graphics software, simulations, and tutorials), media for construction (such as robotics, computer-aided design, and control systems), and media for expression (such as interactive video, animation software, and music composition). In a review of existing evidence of technology's impact on learning, Marshall (2002) found strong evidence that educational technology "complements what a great teacher does naturally," extending their reach and broadening their students' experience beyond the classroom. "With ever-expanding content and technology choices, from video to multimedia to the Internet," Marshall suggests "there's an unprecedented need to understand the recipe for success, which involves the learner, the teacher, the content, and the environment in which technology is used."
  • In examining large-scale state and national studies, as well as some innovative smaller studies on newer educational technologies, Schacter (1999) found that students with access to any of a number of technologies (such as computer assisted instruction, integrated learning systems, simulations and software that teaches higher order thinking, collaborative networked technologies, or design and programming technologies) show positive gains in achievement on researcher constructed tests, standardized tests, and national tests.
  • ...4 more annotations...
  • Boster, Meyer, Roberto, & Inge (2002) examined the integration of standards-based video clips into lessons developed by classroom teachers and found increases student achievement. The study of more than 1,400 elementary and middle school students in three Virginia school districts showed an average increase in learning for students exposed to the video clip application compared to students who received traditional instruction alone.
  • Wenglinsky (1998) noted that for fourth- and eighth-graders technology has "positive benefits" on achievement as measured in NAEP's mathematics test. Interestingly, Wenglinsky found that using computers to teach low order thinking skills, such as drill and practice, had a negative impact on academic achievement, while using computers to solve simulations saw their students' math scores increase significantly. Hiebert (1999) raised a similar point. When students over-practice procedures before they understand them, they have more difficulty making sense of them later; however, they can learn new concepts and skills while they are solving problems. In a study that examined relationship between computer use and students' science achievement based on data from a standardized assessment, Papanastasiou, Zemblyas, & Vrasidas (2003) found it is not the computer use itself that has a positive or negative effect on achievement of students, but the way in which computers are used.
  • Another factor influencing the impact of technology on student achievement is that changes in classroom technologies correlate to changes in other educational factors as well. Originally the determination of student achievement was based on traditional methods of social scientific investigation: it asked whether there was a specific, causal relationship between one thing—technology—and another—student achievement. Because schools are complex social environments, however, it is impossible to change just one thing at a time (Glennan & Melmed, 1996; Hawkins, Panush, & Spielvogel, 1996; Newman, 1990). If a new technology is introduced into a classroom, other things also change. For example, teachers' perceptions of their students' capabilities can shift dramatically when technology is integrated into the classroom (Honey, Chang, Light, Moeller, in press). Also, teachers frequently find themselves acting more as coaches and less as lecturers (Henriquez & Riconscente, 1998). Another example is that use of technology tends to foster collaboration among students, which in turn may have a positive effect on student achievement (Tinzmann, 1998). Because the technology becomes part of a complex network of changes, its impact cannot be reduced to a simple cause-and-effect model that would provide a definitive answer to how it has improved student achievement.
  • When new technologies are adopted, learning how to use the technology may take precedence over learning through the technology. "The technology learning curve tends to eclipse content learning temporarily; both kids and teachers seem to orient to technology until they become comfortable," note Goldman, Cole, and Syer (1999). Effective content integration takes time, and new technologies may have glitches. As a result, "teachers' first technology projects generate excitement but often little content learning. Often it takes a few years until teachers can use technology effectively in core subject areas" (Goldman, Cole, & Syer, 1999). Educators may find impediments to evaluating the impact of technology. Such impediments include lack of measures to assess higher-order thinking skills, difficulty in separating technology from the entire instructional process, and the outdating of technologies used by the school. To address these impediments, educators may need to develop new strategies for student assessment, ensure that all aspects of the instructional process—including technology, instructional design, content, teaching strategies, and classroom environment—are conducive to student learning, and conduct ongoing evaluation studies to determine the effectiveness of learning with technology (Kosakowski, 1998).
Mely Jess

Get Best Geometry Homework Solver - 0 views

www.helpwithassignments.com/maths-homework-help

Maths Assignment Online Mathematics Assignment Help algebra homework help online do my calculus homework

shared by Mely Jess on 26 Feb 19 - No Cached
  • Mely Jess on 26 Feb 19
     
    Our experienced teachers can help you finish your geometry homework solver on time and with the best and easy solutions so that you can understand all the concepts of geometry.
allmathtricks

Limits in Calculus: Definitions, Types, and properties with examples - 0 views

www.allmathtricks.com/ating-limits-calculus-examples

in Calculus limits Understanding Calculating Types of Examples Applications EDUCATION

shared by allmathtricks on 11 Nov 23 - No Cached
  • allmathtricks on 11 Nov 23
     
    Delve into the world of calculus limits. Understand the formal definition, various types, and get clarity with solved examples. Master the basics of limits in mathematics
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