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To teach geometric thought, Van Hiele puts it best that students must learn through a bottom-up approach. If students don't have a proper understanding of analysis of shapes, they're not going to conceptually understand the more advanced levels. If students in older grades need to go back in the levels to better understand the geometry lesson, then the teacher must give them the opportunities to do so

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I learned the importance of using visuals (such as tangrams) in order to help students learn about the different shapes. I also learned about the difference between regular and non-regular polygons, as well as characteristics of different shapes.

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I think tangrams would work great for 4th grade students and younger when discussing shapes and geometry. They can help to find similarities and differences between shapes and better understand the characteristics of the shapes by physically working with them.

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I learned that using the tangrams is a huge resource for students and when you add in the 5 phases of learning it helps students make much more sense of learning.

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I can give students an assignment where they are supposed to trace the shapes and categorize them in venn diagrams like how we did in class

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Teaching 2-D shapes can be done by using different manipulatives, like tangrams, in order for the students to have a visual of what the different shapes look like and whether the sides and angles are equal or not.

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start with students' funds of knowledge and then give the vocabulary to properly talk about shapes

relating to students' real life

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I learned that for students it can be helpful to physically see and feel the shapes when learning geometry. It can also help when learning about characteristics of shapes as students can physically manipulate the tangrams when working with them.

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Teaching 2-D shapes seems like an intresting subject for students. Using the tangrams allows for students to show many different ways that they can do thing and allows for more then one correct answer for the questions.

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You can use the manipulatives to help students define different types of triangles, a good way to get them to learn and explore is to ask them to sort on their own first, then discuss their thought processes as a class.

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teaching 2 day shapes is a good visual to make sure students can see equal or unequal sides

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Tangrams are about composing and decomposing shapes as well as compare/contrast. The ability to have tangible manipulatives is going to give students a concrete, foundational understanding to base off of future, learned knowledge in the classroom

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The tangrams are a good tool for the students to use to be able to look at the different types of shapes. They are a good visual for students to learn about the basics of geometry, and just to become familiar with all of the different types.

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I noticed that using the tangrams is a really useful resource for students to use to help them understand equal shapes

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I learned that tangrams are important because they can help students visually see and work with shapes within geometry. They can also help students make comparisons between different shapes and which shapes are symmetrical.

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The tangrams help students categorize and explore shapes, it's a good manipulative for them to be hands-on with.

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It is important to multiple first and then find the decimal place when multiplying decimals. It can be useful to use a drawing to show what pieces they are making when they multiply.

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I learned that when you are measuring the area helping the students distingues the size and shape of the given object is a great way for students to see what the area is. We multiplied decimal in a new way with boxes. It is important to state that you do not want to line up the 2 decimals.

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It is very important to show the concepts of 10 times bigger/smaller when multiplying decimals. The number of pieces isn't changing when multiplied, but rather the size of the pieces. An area model is helpful to show this concept.

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It is important to make sure the students understand the decimal point in multiplication. This can be done with drawing or even just using vertical multiplication. Using the drawing can help the students notice the difference in size between decimals as well.

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It is helpful to continuously develop student understanding of shapes, and to start by having students observe certain properties of shapes that they can recognize. Manipulatives and designing shapes using these manipulatives helps students explore ideas and make connections.

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When dealing with 2d shapes, I found it very helpful to remind students the difference of labeling something with just ft and labeling something ft^2. The example of asking the students if something is 80 ft long, or if it is 80 ft^2. The difference is very important to know and make sure students have a visual understanding of what this would look like.

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You can encourage students various strategies by allowing them time to manipulate materials and then asking them about what they notice about a shape. You can also use what you know about 3D shapes to help students learn area.

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you are able to use many different examples when talking about 2D and 3D shapes. For asking the students what around the room is 2D and what around the room is 3D

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7-8th grade: Students will solve geometry equations with the shapes (finding the degree of the angle). They will get an idea of sin, cos, tan.

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Students can be given a mosaic shape of tangrams, and be asked to make new shapes using these pieces. One element of the assignment can be that they can only make shapes using pieces that share at least 1 common property (angle size, parallel lines, number of sides, etc.)

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When I taught a 2D lesson and a 3D lesson. The students loved hands-on activities when it came to learning about shapes. The students loved making the comparison that a cylinder can be a pop can and an octagon can be a stop sign.

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1-3 grade: A project where students build their own castle/house with different shapes. Students will figure out different ways they can connect the different shapes to form one singular shape.

As the students progress in age, their designs can become more intricate.

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I think for 1st-4th grade students the tangrams would work really well for teaching 2-D shapes to students. For 5th-8th, I think that online tools are helpful to visualize both 2-D and 3-D shapes.

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2D Grades 1-2: I think it would be engaging if the students created their own tesselation shapes by cutting out colored paper (with lines marked for the shapes) and then assembling them and finally gluing them on a white piece of paper.

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a house with a chimney!

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Knowing the defining characteristics of shapes is really important. I saw this when I taught about shapes in 1st grade as well because they were learning about number of vertices and sides and the lengths of sides. It was particularly tricky to understand the difference between a rhombus and a square.

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What stood out to me was that you were able to see shapes and how they are alike and different to work toward classification. You want to think about geometric figures.

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I learned that is it important to focus on the properties of rectangles and what makes a rectangle, a rectangle. In addition, I like how they highlights that a student should focus on different properties of shapes without looking at one specific shape.

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I learned that it's very important to stay up to date on mathematical research as new definitions are being asserted. It is important to be consistent with these definitions in the classroom.

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There are a lot of great online manipulatives in addition to physical items they can use. Having tangrams as a choice time activity is helpful because as they create tessellations they are learning about shapes.

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Having the student play around with their shapes and come up with different designs can teach them how shapes are able to come together to form into a new shape. It would be beneficial to give students a specific shape to build. They can then be creative and experiment different ways to build one kind of shape, using other shapes.

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helps the students see the actual shape and size, and the similarity of the different shapes that are made with tangrams. With discussion, the teacher with be able ti guide how much the students already know and what they don't know. Make sure you are always having definitions.

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I think teaching 2-D shapes like tangrams are important especially for younger kids because they are able to visualize the shapes and physically feel them . They are also able to easily manipulate the shapes with the tangrams to help them make sense of different shapes.