Tech Edge, Mobile Learning In The Classroom - Episode 55, Geometry Apps

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04/10/2017 Added

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Technology Information: Geometry Apps from Horis International Limited

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[00:00:00.278]Coming up from Mobile Learning in the Classroom,
[00:00:03.014]Geometry Apps from Horis International.
[00:00:05.669](upbeat music)
[00:00:19.337]Hi, my name is Guy Trainin,
[00:00:21.102]and this is Mobile Learning in the Classroom from Tech Edge.
[00:00:23.606]And today I want to talk about Geometry Apps
[00:00:26.367]from Horis International.
[00:00:28.452]I was clued in to these apps by a friend of mine
[00:00:32.267]when I was visiting in Israel.
[00:00:33.950]And he showed me these apps,
[00:00:36.170]and I thought this was a spectacular learning opportunity
[00:00:39.470]in the area of Geometry, especially Euclidean geometry,
[00:00:43.317]and I'm gonna show you the first one.
[00:00:44.581]This is Pythagorea,
[00:00:46.335]and you can see that you can learn lots of topics.
[00:00:51.094]Some instruction before this would be useful,
[00:00:53.678]but what I love about this app is that
[00:00:56.468]in each area, it leads you through
[00:00:58.456]a series of progressively harder problems
[00:01:01.269]that take some imagination to solve.
[00:01:04.537]The fact that you actually have to use
[00:01:06.675]your practical knowledge and inquiry to solve this problem
[00:01:11.711]and to deeply understand these concepts.
[00:01:13.940]So not just repeat or not just go through
[00:01:17.581]is really, really strong.
[00:01:18.495]It gives you some directions about how to play,
[00:01:20.612]and you can see that it shows yo how to do different things,
[00:01:23.477]for example, get points on the board,
[00:01:26.508]or get sizes and all of that.
[00:01:29.911]And the first thing is please, and this is a simple task,
[00:01:33.004]construct a segment between those two points.
[00:01:35.567]And you're correct, and this next problem comes immediately.
[00:01:38.653]Now we need to find the midpoint.
[00:01:40.705]Now it gets more complicated, lots of way to do that.
[00:01:43.515]I'm just going to cross the other diagonal.
[00:01:46.781]We'll find out that this is the center.
[00:01:48.209]You'll see that it turns yellow,
[00:01:50.189]and that shows that it's right,
[00:01:51.172]and then I can move to the next problem.
[00:01:54.302]Now again, the midpoint of the segment.
[00:01:56.840]This is a little bit more complicated
[00:01:58.230]because I couldn't just put my finger in there, on it.
[00:02:01.503]Why?
[00:02:02.336]Because there is no intersection there.
[00:02:04.007]You got to create an intersection before you can do that,
[00:02:06.739]so it walks you through each one of those problems.
[00:02:09.487]And now I need to construct two points that intersects.
[00:02:13.237]So I need to divide it essentially into three equal parts,
[00:02:16.818]and so I can take and make these two intersections,
[00:02:20.185]and I make these two.
[00:02:21.767]It does not confine you to one way to get to the solution,
[00:02:26.927]but it will not tell you that you're right,
[00:02:29.100]even if you're partially right,
[00:02:30.539]until you've got all of it.
[00:02:32.585]Let's do three parts.
[00:02:35.361]So one,
[00:02:36.990]and two,
[00:02:38.474]three equal parts.
[00:02:40.110]And now, it asks a different kind of question.
[00:02:42.820]So you can see that there's
[00:02:43.754]a variety of questions that they ask.
[00:02:45.781]So for example, let's take all the nodes at a distance two.
[00:02:49.673]So it's this one, this one, this one, and this one.
[00:02:52.875]These are the nodes that are at distance two
[00:02:54.759]from that point.
[00:02:55.840]So you can see how it's getting progressively complex.
[00:03:00.162]This is the point the node that is equal distant,
[00:03:02.694]and you can see that this leads.
[00:03:04.389]But if I take you somewhere else, for example,
[00:03:07.034]you can see how fast you advance in those
[00:03:09.559]actually world leader board,
[00:03:11.895]for people who have gone through all of this.
[00:03:13.637]You can see that there's lots of topics,
[00:03:15.763]so it starts with simple things,
[00:03:18.540]and it builds up.
[00:03:19.373]Length and distance is at the beginning.
[00:03:21.228]Parallel lines, isosceles triangles, medians.
[00:03:24.250]And you can see you get to trapezoids,
[00:03:26.548]Pythagorean theorem,
[00:03:29.045]area,
[00:03:30.090]right angles,
[00:03:30.939]rotations, angles, and tangent.
[00:03:32.882]So it gets progressively more complicated.
[00:03:36.466]It's really, really a fantastic way to learn
[00:03:40.461]and to practice these kinds of skills.
[00:03:43.756]Now this is not the only app they have.
[00:03:46.460]I can show you a few more apps.
[00:03:48.391]They've got Pythagorea 60 Degrees.
[00:03:51.147]And this focuses on,
[00:03:52.798]and you can see that I've been playing with it.
[00:03:54.784]It focuses on the same thing,
[00:03:55.866]but now instead of squares,
[00:03:57.289]you have a grid that is
[00:03:59.947]a series of 60-degree angle
[00:04:04.724]triangles.
[00:04:05.907]So, the calculation is different,
[00:04:07.816]and the ways you can maneuver around this
[00:04:10.786]is a little bit different,
[00:04:11.794]so it is more sophisticated.
[00:04:13.627]And you can see that the trick exactly the same trick.
[00:04:15.676]You have, in this case, in parallel eyes,
[00:04:17.716]you have to select two parallel lines
[00:04:19.703]So you have to make the judgment
[00:04:21.312]about which lines are parallel.
[00:04:23.472]So this is another one where you can experiment,
[00:04:26.351]try things out.
[00:04:27.849]They also have a 3D version.
[00:04:30.125]So now we're passed the general 2D Euclidean geometry
[00:04:35.316]to looking at different shapes, three dimensional shapes,
[00:04:40.048]and identifying different things.
[00:04:42.094]So for example, you can see that
[00:04:44.576]you can look at something as basic as
[00:04:47.119]cubes.
[00:04:48.094]And here you need to mark all the edges that intersect
[00:04:52.406]the given edge.
[00:04:54.752]So it would be something like this,
[00:04:58.067]and now I've got it correct.
[00:04:59.095]And you go to the next problem.
[00:05:01.130]You get the problem, complete the degrees,
[00:05:03.827]given some of the edges,
[00:05:05.491]so you gotta go and complete these.
[00:05:10.121]And you can see that the principle is the same,
[00:05:12.096]but obviously the learning is more complex,
[00:05:14.415]and there is a quick
[00:05:17.245]way to
[00:05:18.621]advance forward and backwards.
[00:05:20.073]You can't advance past your best result,
[00:05:24.161]but you can go back and redo older drills,
[00:05:28.289]and you can quickly go through.
[00:05:30.362]In this one, and I love this,
[00:05:31.792]it doesn't actually let you go to the next level
[00:05:33.837]without completing this one.
[00:05:35.820]And again, I've played with this quite extensively,
[00:05:38.938]not necessarily on my iPad because,
[00:05:41.233]and this is important to know,
[00:05:42.287]and we talk about this a lot.
[00:05:43.880]It's important to have this,
[00:05:45.187]and this works wonderfully well on the iPad,
[00:05:47.668]but there's actually a version on Google Play.
[00:05:50.750]There's a version on Amazon Apps,
[00:05:52.981]and there's a version that works on the phone.
[00:05:54.962]So you are not restricted to iPads only.
[00:05:58.175]Almost any platform you have
[00:06:00.046]will have these apps work and work well,
[00:06:03.521]so this is a fantastic way to practice geometry,
[00:06:07.052]and more than that, to do very sophisticated
[00:06:10.238]problem solving.
[00:06:11.378]The one thing that I would suggest
[00:06:12.788]to anybody using that with students,
[00:06:14.589]or with kids if you are a parent and using it with kids,
[00:06:17.062]or if kids choose to use it themselves,
[00:06:18.994]is to make sure that you solve a problem,
[00:06:22.549]you give an account of how you solve it
[00:06:24.359]and why do you think it worked.
[00:06:25.740]Because I think that, that metacognitive piece,
[00:06:27.547]and I keep going back to this,
[00:06:29.083]is the most important.
[00:06:30.019]Sometimes you're solving intuitively,
[00:06:32.081]but you can't verbalize it,
[00:06:33.773]which means that you actually have a hard time
[00:06:36.669]to transfer that learning to another domain.
[00:06:38.834]So think about how you got that result
[00:06:40.851]is especially important.
[00:06:42.826]So, my name is Guy Trainin.
[00:06:44.454]This is Mobile Learning in the Classroom,
[00:06:46.121]and I will see you next time.
[00:06:47.454](upbeat music)

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Tags:
CEHS
College of Education and Human Sciences
Tech EDGE
UNL
University of Nebraska-Lincoln
Department of Teaching Learning and Teacher Education
University of Nebraska
Apps
Geometry
Horis International Limited

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Tech Edge, Mobile Learning In The Classroom - Episode 55, Geometry Apps

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