Group items tagged Mathematics - Technology Enabled Learning & Teaching @ UNSW

Supporting Mathematical Thinking through the Eight Cultural Forces - The Learner's Way - 1 views

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supporting thinking eight forces cultural education mathematics

shared by Nigel Coutts on 28 Jul 19 - No Cached

Nigel Coutts on 28 Jul 19

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.

<div class="cArrow"> </div><div class="cContentInner">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. </div>

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Bringing concepts to early learning in Mathematics - The Learner's Way - 0 views

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concepts learning mathematics teaching Early Years

shared by Nigel Coutts on 03 Nov 19 - No Cached

Nigel Coutts on 03 Nov 19

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.

<div class="cArrow"> </div><div class="cContentInner">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. </div>

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Perseverance and Mathematics - A mathematical journey to Mars - The Learner's Way - 0 views

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mathematics NASA education learning thinking wonder curiosity

shared by Nigel Coutts on 01 Mar 21 - No Cached

Nigel Coutts on 01 Mar 21

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.

<div class="cArrow"> </div><div class="cContentInner">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. </div>

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Agency and Mathematics - The Learner's Way - 0 views

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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?

<div class="cArrow"> </div><div class="cContentInner">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?</div>

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Mathematical thinking presents teachers and students with new challenges - The Learner'... - 0 views

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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.

<div class="cArrow"> </div><div class="cContentInner">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.</div>

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Reflections from Mathematics: The Greatest Show - The Learner's Way - 0 views

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reflections mathematics MANSW education teaching learning

shared by Nigel Coutts on 22 Sep 19 - No Cached

Nigel Coutts on 22 Sep 19

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.

<div class="cArrow"> </div><div class="cContentInner">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.</div>

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Insights into the true power of Number Talks - The Learner's Way - 0 views

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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.

<div class="cArrow"> </div><div class="cContentInner">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. </div>

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Moving Beyond Rote Learning in Mathematics - The Learner's Way - 0 views

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mathematics reasoning thinking education

shared by Nigel Coutts on 08 Apr 21 - No Cached

Nigel Coutts on 08 Apr 21

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

<div class="cArrow"> </div><div class="cContentInner">How do move from an emphasis on rote learning of procedures in mathematics towards a focus on mathematical reasoning?</div>

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Bringing Mathematical Reasoning into our Classrooms - The Learner's Way - 0 views

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reasoning classrooms learner education teaching learning

shared by Nigel Coutts on 04 Aug 19 - No Cached

Nigel Coutts on 04 Aug 19

Reasoning is at the heart of mathematical thinking. It is what mathematicians do. But how do we teach it?

<div class="cArrow"> </div><div class="cContentInner">Reasoning is at the heart of mathematical thinking. It is what mathematicians do. But how do we teach it?</div>

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LaTeX/Mathematics - Wikibooks, collection of open-content textbooks - 2 views

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latex mathematics math tools

shared by Robyn Jay on 02 Oct 09 - Cached

A Tale of Two Wikis: Upper-Level Mathematics Meets Web 2.0 - 0 views

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mathematics wikiexample wiki L&Tunsw TELT elearning highereducation L&T

shared by Robyn Jay on 16 Jan 09 - Cached

AAMT Why Maths? - Inspiration beyond the classroom - The Learner's Way - 0 views

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maths inspiration classroom learner education mathematics

shared by Nigel Coutts on 14 Jul 19 - No Cached

Nigel Coutts on 14 Jul 19

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.

<div class="cArrow"> </div><div class="cContentInner">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. </div>

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Maintaining a focus on concrete representations of mathematical concepts during remote ... - 1 views

thelearnersway.net/...oncepts-during-remote-learning

mathematics learning education thinking

shared by Nigel Coutts on 24 Aug 21 - No Cached

Nigel Coutts on 24 Aug 21

In times when we taught face-to-face, some of these challenges would be overcome through the use of concrete materials, at least with younger students. Unfortunately, it is common for the use of concrete materials to decline as students grow older. Fortunately, this pattern, and the prejudiced beliefs on which it is founded, are today being questioned.

<div class="cArrow"> </div><div class="cContentInner">In times when we taught face-to-face, some of these challenges would be overcome through the use of concrete materials, at least with younger students. Unfortunately, it is common for the use of concrete materials to decline as students grow older. Fortunately, this pattern, and the prejudiced beliefs on which it is founded, are today being questioned. </div>

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Reducing cognitive load in algebra « Republic of Mathematics - 1 views

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cognitiveload education memory mathematics math

shared by Robyn Jay on 15 Jan 10 - Cached

Holiday Reading - Christmas 2019 - The Learner's Way - 1 views

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holiday reading education teaching resources learning

shared by Nigel Coutts on 23 Dec 18 - No Cached

Nigel Coutts on 23 Dec 18

With the Christmas Holiday's finally here this is the perfect opportunity to catch up on some of that reading which has been delayed while more pressing matters are dealt with. Here are the top items on my holiday reading list. With a project underway that explores a conceptual based approach to teaching mathematics there is a bias in that direction.

<div class="cArrow"> </div><div class="cContentInner">With the Christmas Holiday's finally here this is the perfect opportunity to catch up on some of that reading which has been delayed while more pressing matters are dealt with. Here are the top items on my holiday reading list. With a project underway that explores a conceptual based approach to teaching mathematics there is a bias in that direction. </div>

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