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Themes of Care - human made/world things

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Themes of Care - human made/world things

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There are six main "themes of care" that we got to learn about, one of them was "care for human-made and world things." At first the question that came to my mind was how we could learn to care more about the world around us as we learn mathematics? But there are so many ways! Just by opening students minds to thinking about other places around the world, we are teaching them to develop this kind of care.
People have created all kinds of wonderful structures over time, it would be neat to use examples of these in my teaching. Even if I'm not going into exactly the structure/how something was made (this would probably be more suited for physics) I can use examples of these structures in my lesson. For example, "here's a simplified layout of Taj Mahal with measurements for the outside perimeter, how many square feet is the building?"
In this example lesson, students get to learn more about geographical structures that are very important to other cultures (and possibly very important to some of the students in my class). Students learn to care more about other cultures and also have a fun time learning mathematics as well.

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Project based learning is when students get to learn about the material by doing a project. This is a great way to learn and is much more engaging for students than just sitting in a lecture.
One lesson idea that I have come up with before that is a project-based learning example is for students to be presented with a variety of shapes and challenged to tesselate a plane with these shapes (make it so that a plane of space is completely covered with the shape with no overlaps or gaps). Through this process students will learn on their own that not all shapes have the ability to do this and that to determine which shapes can/can't it depends on their angles. As students complete checkpoints in this project they will get to learn several geometric standards.

Here are more ideas about this project.

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Problem based learning is when students get to learn about the curriculum content through searching for a solution to a real-life problem. This is a great complex learning environment for mathematics! Here is a Pinterest board page full of different ideas for problem-based learning lesson plan ideas.
There were a variety of fun ideas on this board! And several of them led to websites with even more ideas. Some examples include determining how long it will take each kind of pick-ax on Minecraft to mine so much material or how much money do you earn for 1,000 streams on Spotify. One idea that I would like to use in my classroom is how can we make stronger passwords? This is a great way to teach students about cyber security, as well as have some fun! And we get to learn about probability.

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This website (Called the teacher toolkit) gives a really good example and explanation of how to lead students thorugh a cooperative learning Jigsaw experience. In this method students will break out into groups and each group will become a "master" of their subject. The students then break out into different groups, with a master of each subject in each group, and then they teach one another.
I think a really great time to use this would be with a factoring unit. Often times students are taught one way to factor for a long time and then they learn another (meanwhile forgetting the first way that they learned). I have met so many students who have forgotten about/get confused by the different ways to factor and when to use which one. I think this would be super helpful to see the different ways all together. Also, another student's explanation of how to factor will a lot of times make more sense than me trying to explain how to factor.

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In this video, students are given the chance to explore triangles and squares, and through that they get to learn more about the Pythagorean theorem. This is a great example of inquiry based learning. Students are guided through some specific questions that the teacher wants them to understand, but in the process of figuring those things out they will also be asking a lot of their own questions. Students get the chance to explore and do hands on activities to learn more about the Pythagorean theorem. I LOVE this activity. Rather than students just being told "here's an equation, this is how it works, and memorize it because you're going to use it a ton" the students actually get to see why the equation works and understand it. This video shows a great example of the teacher walking around the classroom to help guide students in their questions and clarify misconceptions.