https://padlet.com/mariaallandeortiz1/wv8hjmf88jgln3ib en-us 2023-05-25 17:35:34 UTC 2023-05-26 00:58:14 UTC hello@padlet.com mariaallandeortiz1 https://padlet.com/mariaallandeortiz1/wv8hjmf88jgln3ib/wish/2605161257 2023-05-25 17:42:59 UTC https://padlet.com/mariaallandeortiz1/wv8hjmf88jgln3ib/wish/2605161257 mariaallandeortiz1 https://padlet.com/mariaallandeortiz1/wv8hjmf88jgln3ib/wish/2605178827 -The lowest level
-For example students all recall the Pythagorean theorem but they don't theoretically understand it.
-Most students of my Geometry students could remember the formula we needed when I would present them a right triangle but didn't know why we needed to use it or how it works.]]> 2023-05-25 18:01:24 UTC https://padlet.com/mariaallandeortiz1/wv8hjmf88jgln3ib/wish/2605178827 mariaallandeortiz1 https://padlet.com/mariaallandeortiz1/wv8hjmf88jgln3ib/wish/2605181081 -As an educator myself, I now realize I tend to use generalizations quite often in the classroom.
-Generalizations help develop critical thinking and develop inquiry skills within the learning environment as well.
-For example, I will present a statement to the class when doing a lesson that allows my students to make connections about concepts within the problem we may be covering. ]]> 2023-05-25 18:03:54 UTC https://padlet.com/mariaallandeortiz1/wv8hjmf88jgln3ib/wish/2605181081 mariaallandeortiz1 https://padlet.com/mariaallandeortiz1/wv8hjmf88jgln3ib/wish/2605186260 -DIFFERENT from one another.
-Formulas basically represent cold hard FACTS within the mathematical world.
-Theorems are proven STATEMENTS which lead to conceptual understanding in math.]]> 2023-05-25 18:09:20 UTC https://padlet.com/mariaallandeortiz1/wv8hjmf88jgln3ib/wish/2605186260 mariaallandeortiz1 https://padlet.com/mariaallandeortiz1/wv8hjmf88jgln3ib/wish/2605195225 2023-05-25 18:19:51 UTC https://padlet.com/mariaallandeortiz1/wv8hjmf88jgln3ib/wish/2605195225 mariaallandeortiz1 https://padlet.com/mariaallandeortiz1/wv8hjmf88jgln3ib/wish/2605196584 -When students are expected to problem solve the goal is that they can understand a problem , know the plan to do so, carry that plan out and hopefully execute to come to the correct solution.
-Problem solving is a very important skill that students must develop to better understand the math for example guess and check or drawing things out are some I have used in the past to help my students.]]> 2023-05-25 18:21:28 UTC https://padlet.com/mariaallandeortiz1/wv8hjmf88jgln3ib/wish/2605196584 mariaallandeortiz1 https://padlet.com/mariaallandeortiz1/wv8hjmf88jgln3ib/wish/2605203614 -One of the major things that I gathered from this key process is the ability to make mistakes and the power this holds within learning.
-Students need to view mistakes as an important weapon to gain more knowledge, especially in math.
-What I used this last school year was partner checks. One student would do the problem and then their partner with a color pencil would need to check their work and correct any mistakes. This then allowed the student who might have made an error the ability to see their error and learn from that mistake.
-Lastly, reasoning and proof is can be connected with generalizations.]]> 2023-05-25 18:29:15 UTC https://padlet.com/mariaallandeortiz1/wv8hjmf88jgln3ib/wish/2605203614 mariaallandeortiz1 https://padlet.com/mariaallandeortiz1/wv8hjmf88jgln3ib/wish/2605228643 -This is a process that I personally focus heavily on this past school year because I feel in math it is very easy to forget to stop and have dialogue.
-I used guided notes, stations, and other activities in my classroom to provide students the opportunity in class to discuss and collaborate amongst themselves about terms, problems and what they believed they meant, etc.
-This was what I believe our chapter reading this week referred to as Social Constructivism because we constantly made discoveries via interactions student-student and teacher-student.]]> 2023-05-25 18:59:38 UTC https://padlet.com/mariaallandeortiz1/wv8hjmf88jgln3ib/wish/2605228643 mariaallandeortiz1 https://padlet.com/mariaallandeortiz1/wv8hjmf88jgln3ib/wish/2605231586 -Crucial for students to develop the ability to make connections between stuff they have learned in the past with the new concepts they are currently learning.
-As an educator it is our job to make sure they also connect what we teach them to the real world.
-I gave my students time to process during lessons once I realized that if I moved too quickly they missed on making connections because they might feel rushed.]]> 2023-05-25 19:03:29 UTC https://padlet.com/mariaallandeortiz1/wv8hjmf88jgln3ib/wish/2605231586 mariaallandeortiz1 https://padlet.com/mariaallandeortiz1/wv8hjmf88jgln3ib/wish/2605248984 -It is crucial that math gets represented visually as much as possible for students, regardless of the type of learners you may have.
-Technology can be your best friend in helping achieve this goal as well as other visual tools like, guided notes, graphic organizers, manipulatives, actual 3D figures, Nearpod, even small clips on YouTube.]]> 2023-05-25 19:26:05 UTC https://padlet.com/mariaallandeortiz1/wv8hjmf88jgln3ib/wish/2605248984 mariaallandeortiz1 https://padlet.com/mariaallandeortiz1/wv8hjmf88jgln3ib/wish/2605252840 The last of the 6 key processes is investigation which means we allow students to explore certain situations they have never encountered before.
-This is a great opportunity for students to learn how to use resources and observe how creative they can be when they encounter challenging math problems. 
-Do they try to solve it alone? Use collaboration as a resource? Maybe they get creative and recall a real world event that helps them? Allowing them to have the time to investigate on their own can lead to many discoveries they may have not been aware of until that precise moment!]]> 2023-05-25 19:31:34 UTC https://padlet.com/mariaallandeortiz1/wv8hjmf88jgln3ib/wish/2605252840 mariaallandeortiz1 https://padlet.com/mariaallandeortiz1/wv8hjmf88jgln3ib/wish/2605418351 2023-05-26 00:20:02 UTC https://padlet.com/mariaallandeortiz1/wv8hjmf88jgln3ib/wish/2605418351 mariaallandeortiz1 https://padlet.com/mariaallandeortiz1/wv8hjmf88jgln3ib/wish/2605452642 -These are all levels within the structure process that also devise mathematical processes.
-However BOTH the Knowledge and Structure Processes are DIFFERENT they each support one another in the quest of learning.
-For example: Students need to have the skill of looking at two points on the coordinate plane and identify it's slope. In order to accomplish this skill they must also be able to pull from their mind the fact that to find slope we have a very specific formula to help us find the slope of a line.

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