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Garrett Eastman

Prime Climb: An Analysis of Attention to Student-Adaptive Hints in an Educational Game - 4 views

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    Abstract:"Prime Climb is an educational game that provides individual support for learning number factorization skills in the form of hints based on a model of student learning. Previous studies with Prime Climb indicated that students may not always be paying attention to the hints, even when they are justified (i.e. based on a student model's assessment). In this thesis we will discuss the test-bed game, Prime Climb, and our re-implementation of the game which allowed us to modify the game dynamically and will allow for more rapid prototyping in the future. To assist students as they play the game, Prime Climb includes a pedagogical agent which provides individualized support by providing user-adaptive hints. We then move into our work with the eye-tracker to better understand if and how students process the agent's personalized hints. We will conclude with a user study in which we use eyetracking data to capture user attention patterns as impacted by factors related to existing user knowledge, hint types, and attitude towards getting help in general. We plan to leverage these results in the future to make hint delivery more effective."
Garrett Eastman

MISCONCEPTIONS IN GEOMETRY AND SUGGESTED SOLUTIONS FOR SEVENTH GRADE STUDENTS - 5 views

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    Abstract: "The principal aim of this study is to find the weaknesses of secondary school students at geometry questions of measures , angles and shapes , transformations and construction and 3-D shapes. The year 7 curriculum contains 4 geometry topics out of 17 mathematics topics. In addition to this , this study aims to find out the mistakes, 28 , 7th grade students made in the last 4 exams including two midterms and two final exams.To collect data, students were tested on two midterms and two final exams using open-ended questions on geometry to analyze their problem solving skills and to test how much they acquired during the year.Frequency tables were used in data analysis.To fulfill this aim in the first midterm exam the subject measures were tested.In the first final exam which followed the first midterm exam in addition to measures and angles shapes skills were also tested. Following these tests , in the second midterm we tested the students on transformation and construction. A descriptive methodology and student interview were used in the study to analyze and interpret the results. The results from this study revealed that 7th grade secondary school students have a number of misconceptions, lack of background knowledge, reasoning and basic operation mistakes at the topics mentioned above."
MariaDroujkova

Mathematica for Primary and Secondary Education - 17 views

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    I wish we could add tags to other people's items without overwriting their authorship!
  • ...1 more comment...
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    Maria, sorry but you lost me with your comment. How do I add tags to other people without overwriting their authorship? Please advise.
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    Steven, you shared a link and I wanted to add a tag to it. However, Diigo does not have a separate "add tag" function. The only way to add a new tag is to share the same link to the group, again. However, it overrides the author - now the link says "Shared by Maria Droujkova" even though you linked it first. I hope it makes sense. We discussed it with Darren when I first started to use Diigo Groups: http://groups.diigo.com/group/math-links/content/can-you-add-tags-to-other-people-s-bookmarks-959243
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    Hi Maria, thank you for the clarification. I now understand your first comment.
Martin Burrett

All the way to the bank - 0 views

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    This is a virtual maths board game where you have to keep track on how much money you have to deposit at the end of the month. http://ictmagic.wikispaces.com/Maths
Garrett Eastman

Using QR Codes and Mobile Devices to Foster an Inclusive Learning Environment for Mathe... - 6 views

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    Abstract: "In this paper, students provide insight into their use of Quick Response (QR) codes and mobile devices to assist in mathematics homework efforts. These QR codes were directly linked to instructional videos related to their unit on fraction algorithms and were hosted on YouTube. In particular, through focus-group interviews, the students identified many strengths associated with the implementation of this research. The strengths include the manner in which the YouTube clips of currently accepted instructional strategies worked to reinforce their classroom learning, how the mobile devices motivated students to complete homework in a variety of non-traditional settings, increased their communication with their classroom teacher, and how these devices engaged parents and siblings in the learning process."
Maggie Verster

CK-12 Basic Algebra,Volume 1 Of 2 (free kindle ebook) - 2 views

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    CK-12 Foundation's Basic Algebra, Volume 1 Of 2 FlexBook covers the following six chapters:Expressions, Equations, and Functions - covers the relationships among expressions, equations, and functions when variables are present. Also explored is how these ideas can be shown on graphs. Properties of Real Numbers - covers various forms that rational numbers can assume, including fractions, integers, and square roots. Also considered are different operations for manipulating rational numbers. Linear Equations - introduces students to methods of solving simple equations involving variables. Also covered are ratios, scale, and the percent equation. Graphing Linear Equations and Functions - provides students with a more in-depth understanding of equations by introducing coordinate plane graphing concepts such as intercepts and slope. Writing Linear Equations - focuses on writing various forms of equations based upon real-world data and already existing lines. Students will also learn about predicting data using a fitted line. Linear Inequalities and Absolute Value; An Introduction to Probability - covers operations of inequalities, including addition, subtraction, multiplication and division. These principles are then applied to absolute value and probability.
Garrett Eastman

Developing a 21st Century Global Library for Mathematics Research - 4 views

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    "Developing a 21st Century Global Library for Mathematics Research discusses how information about what the mathematical literature contains can be formalized and made easier to express, encode, and explore. Many of the tools necessary to make this information system a reality will require much more than indexing and will instead depend on community input paired with machine learning, where mathematicians' expertise can fill the gaps of automatization. This report proposes the establishment of an organization; the development of a set of platforms, tools, and services; the deployment of an ongoing applied research program to complement the development work; and the mobilization and coordination of the mathematical community to take the first steps toward these capabilities. The report recommends building on the extensive work done by many dedicated individuals under the rubric of the World Digital Mathematical Library, as well as many other community initiatives. Developing a 21st Century Global Library for Mathematics envisions a combination of machine learning methods and community-based editorial effort that makes a significantly greater portion of the information and knowledge in the global mathematical corpus available to researchers as linked open data through a central organizational entity-referred to in the report as the Digital Mathematics Library. This report describes how such a library might operate - discussing development and research needs, role in facilitating discover and interaction, and establishing partnerships with publishers."
Garrett Eastman

Middle East Peace Potential through Dynamics in Spherical Geometry - 2 views

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    "This is an exploration of the hypothesis that unique belief systems depend for their coherence on distinctive patterns typically embodied in geometrical symbols in two dimensions. On the basis of that assumption, the case tentatively explored here is that of the "incommensurability" of the 5-fold Star of Islam and the 6-fold Star of David of Judaism -- both symbols appearing on flags of the nations having those distinct faiths. ... The approach taken here explores the possibility that the "pieces" only fit together on a three-dimensional surface, namely a sphere. It is the spherical geometry that then merits consideration, together with the challenge of how to get from any "mis-fitting" two-dimensional layout to a three-dimensional form. Of course, two-dimensional layouts are far more readily comprehensible. Hence the focus on them. However the three-dimensional layout has the potential of rendering comprehensible a far more elegant layout which may well exemplify intuitions characteristic of the faiths so dramatically opposed. The approach follows from various earlier explorations of the potential of mathematics to offer a new perspectives on these issues" ....
MariaDroujkova

mathfuture - Karismath - 8 views

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    During the live online event Saturday January 14th 2pm ET, Shad Moarif, the founder of Karismath, will lead brainstorming about mathematical videos and dynamic mathematics in general. Event challenge! What types of the Grid do you see from the pedagogical perspective? Discussions beginning before the event This wiki: discussion tab http://mathfuture.wikispaces.com/message/list/Karismath LinkedIn: "Math, Math Education, Math Culture" group http://www.linkedin.com/groupItem?view=&gid=33207&type=member&item=88774229&qid=00e42ab4-4f69-453e-8a79-0a181ab07bc9 Facebook: http://www.facebook.com/karismath/posts/334691806549990 Math Future email group: http://groups.google.com/group/mathfuture/browse_thread/thread/071299f3319650cf# In a grid, there is an obvious connection between the product cell and the simultaneity of two bits of information coexisting within it. Shad is exploring ways of breaking this connection down into a sequence of transitional steps by distilling them visually. Shad has categorized the Grid into eleven types according to their uses for storing, sorting, and displaying numerical information (see below). What pedagogical types of the Grid come to your mind? How to join Follow this link at the time of the event: http://tinyurl.com/math20event
MariaDroujkova

Infographic: Tallest Mountain to Deepest Ocean Trench - 12 views

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    The boundaries of human presence on Earth. Also, how long it takes you to boil an egg at the top of Everest. Good to know!
Garrett Eastman

Workshop on Mathematics Journals: Mathematical Sciences Research Institute - 4 views

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    A workshop scheduled in Berkeley, California, Feburary14-16, 2011. "The workshop will discuss what is important and unique to the publishing of mathematical research articles and how we can best ensure that publishing practices support peer reviewed research in the long term. Much of the current discussion is taking place between funders and publishers, including learned societies, but not directly with mathematicians. A second goal is to see if we can find a consensus of opinion on what is important about journal publishing to mathematicians, that is, where the balance lies between the desire for profits from publishing and the broader dissemination of research."
David Wetzel

How to Use LiveBinders in Science and Math Education - 15 views

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    LiveBinders is a free web 2.0 tool which offers educators the ability to save and organize materials for any class. One advantage of this online service the capability to update a binder anywhere an educator has internet access.
Maggie Verster

Using visualisation in maths teaching - OpenLearn - The Open University - 0 views

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    This unit looks at visualisation as it relates to mathematics, focusing upon how it can be used to improve learning. It will also identify ways in which to make more use of visualisation within the classroom....
dagusto

como ayudar mis chicos - 61 views

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    I really like this article because of how relatable it is. I want my students to ask questions but getting them to ask them is the tricky part. Encouraging them constantly that they can do it and to ask questions can be exhausting but that's what I want so that they will become confident and improve. I also love the end of the article were she talks about giving credit for showing work even if the answer is wrong. I do this in my classroom as well because if I see that the student is trying then I can hopefully help them in he future move toward the correct answer.
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    This is a great article. I run into adults today who when I say I am going to teach math they say "ooh why? Math was alway so hard." And I can admit at times my response it "but it's so easy." Which obviously isn't the greatest response to that. However, they react the same way the article describes, by claiming they aren't "math people" and didn't get it. But every one can learn math (can learn anything for that matter).
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    matematicas
Tina Vine

After the Critique: How to Harness the Takeaway for Year-Long Staying Power. - 0 views

    • Tina Vine
       
      Especially like -- goal tickets for next writing assignments, peer comments.
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    Tips on giving feedback on writing that will last.
David Wetzel

How to Integrate Google Docs in Science and Math Like a Pro - 14 views

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    Strategies are provided for classroom integration, creating survey, and science or math activities.
MariaDroujkova

How Menstruation Created Mathematics - 0 views

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    Who created mathematics? Where did it begin? To answer these questions, we need to think about what mathematics is. In their work on ethnomathematics, Borba (1990) and D'Ambrosio (1990) define the compnonents of ethnomathematics as the follows: ethnos - within a cultural environment mathema - explaining and understanding in order to transcend, managing and coping with reality in order to survive and thrive. tics - techniques such as counting, ordering, sorting, measuring, weighing, ciphering, classifying, ordering, inferring and modeling.
Martin Burrett

BBC Maths - Converting fractions to decimals - 0 views

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    A great maths interactive videos and game about how to convert fractions to decimals. http://ictmagic.wikispaces.com/Maths
Garrett Eastman

Infinitesimal: How a Dangerous Mathematical Theory Shaped the Modern World | Amir Alexa... - 3 views

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    Published in 2014, tells the story of how, in the seventeenth century, Italian Jesuit authorities evidently tried to suppress the idea of infinitesimals in mathematics and how subsequently their flourishing led to the development of calculus and shifted the balance of world culture and the influence of nations.
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