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I learned that a net for 3D shapes is a very helpful tool for students to visualize and find volume.

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When creating a net for a 3D shape there are various ways to create a net with the same volume.

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Use nets to make visuals for volume!

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Students can use different shapes to create an rectangle to determine the area. ie. completing a parallelogram

CC

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It is important for students to see how  shapes fit into others as this can help them to visualize finding area. Students who can take a part a shape into other shapes could see how the areas relate to one another.

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When teaching area using like shapes and highlighting how these like shapes relate to the area of an irregular figure makes it much easier for a student not only to calculate the area, but also to understand why.

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It can be important to draw over or rearrange a shape to see how it might actually be another shape "in disguise" or how another shape might be useful to add or subtract to find the area.

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I learned that objects(ie. tangrams) can help students understand the area models. Real-life objects also help students build conceptual knowledge such as leaves or the drawing of our hands.

CC

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I learned that it is important to show students visuals so they can see the area of a unique object like the first drawing we did. Students find this helpful when connecting to real-world problems, and can be used as cross-cutting concepts like the ones with the leaves.

R.G

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By drawing shapes on unit graphing paper and counting the squares gives students a visual on what squared cm/in looks like and represents. This lays a foundation to later problems where the area formula is given and only side lengths are given.

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I learned that using tangrams helps students find area and perimeter. Angles can be connected to science through leaves as well. Transformations can be described clearly when translations, reflections, and rotations are distinguished.

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I learned how there are many ways to help students conceptualize both area and perimeter such as--
*using irregular shapes
*using square unit grids
*using tangram puzzles

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Measurement: Using physical and visual representations help make measuring more valuable to students.

Geometry: Being able to see and manipulate shapes will help students to understand how area and perimeter and connected.

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Teaching students that the same shape in a different shape all has the same area.
TE

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I learned how important it is for students to be able to explore shapes and physically see how they can change to incorporate ideas that they are learning in the classroom

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I learned how to use tangrams to show students to better understand shapes and to also help find the perimeter and area of a shape.

K.N.

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I learned it is very important to use different physical and visual models for measurement especially area. I liked the abstract shape counting squares to connect to area that was super helpful.

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I learned the importance of shapes and seeing them, as well as students getting opportunities to use shapes to work out their own problems.

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allow students to explore with the tangrams to better understand area models

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use maps of your town to emphasize importance of knowing how to use a grid and coordinate points

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Doing activities to learn about location on quadrants can be helpful. Having prior knowledge of the concept however is needed before games. Graph paper is essential when drawing their own reflections, translations, and rotations.
SO

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I learned the importance of being accurate and descriptive with academic vocabulary when describing translations, reflections, and rotations!

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I learned that it is important to have a variety of visuals and methods to teach location and measurement, don't stick to one method, let students explore the concept

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CLASS NOTES
Students learning to compose and decompose using tangrams, pentaminoes, etc. are developing skill at fitting objects into space.
There are many practical applications for this skill.
Doing these types of activities builds skill for problem-solving with the thinking and executing ideas within the activities

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Students need to be included in more than just shapes and engaging with the toys that can be beneficial for learning geometry. If students can see how shapes are incorporated in the world around them, they will better be able to make connections on what they are learning in class.

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5 Phases of Learning according to the van Hieles:

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5 Phases of Learning according to the van Hieles:

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Information: Through discussion, the teacher identifies what students already know about a topic and the students become oriented to the new topic.
Guided orientation: Students explore the objects of instruction in carefully structured tasks such as folding, measuring, or constructing. The teacher ensures that students explore specific concepts.
Explicitation: Students describe what they have learned about the topic in their own words. The teacher introduces relevant mathematical terms.
Free Orientation: Students apply the relationships they are learning to solve problems and investigate more open-ended tasks.
Integration: Students summarize and integrate what they have learned, developing a new network of objects and relations.
Marguerite Mason

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- you need a visual component to make this work otherwise students will not understand
-students should have some sort of background with shapes as well as the vocabulary
-overall it's more complicated than the thought before because we must consider things like angels and vertical angels. So teachers have to prompt questions for students to engage.

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Teachers can show students different activities on how to visualize the shapes, and then to analyze them. So having students sort the different shapes out and then finding things such as angles of the shapes and etc.

-K.N.

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Just doing an activity isn’t enough for good learning. Teachers have to ask leading questions that allow students to think deeper, explore, deduct, and analyze.

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I learned that using visuals of shapes can help students in the initial phases of geometry. These visuals will them help students be able to analyze shapes and identify specific properties.

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When exploring the concepts in geometry a way to make it more meaningful is to add visuals and manipulatives. Without these, students cannot prove what they know.
GS

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I have learned that in learning geometry 2D, it is very important to allow for visuals and student exploration. Students being able to figure out how different shapes work and how they interact together will be super beneficial before even teaching formally about different shapes.

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geometry starts as early as preschool. the questions teachers ask are way more important than the activities themselves. AT

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Can you make a regular hexagon with a square?

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Tangram Animals- visualizing to analysis
Geometry Task cards- visualizing to analysis (shape- on their sheet identify shape, name sides and other characteristics)
Detective Card- visualizing to analysis (determine if the shape is a polygon)

Task Cards- Analysis to Informal deduction (what are the same, what is the difference between shapes/figure made of shapes)

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I think that sorting shapes make it easier for students to visualize how to classify all the different shapes.

-K.N.

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Allow students to explore different shapes, play with them, and answer guided questions before any chart is introduced or different categories are taught.

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-K.N.

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Development of geometric thinking