Wathall CH3 Mind MAP by Alexander Reinhardt https://padlet.com/amreinha/v96mltd3cxkxsza5 en-us 2025-02-23 05:31:22 UTC 2025-02-23 22:57:44 UTC hello@padlet.com Generalizations in Mathematics amreinha https://padlet.com/amreinha/v96mltd3cxkxsza5/wish/3338864966 2025-02-23 05:32:29 UTC https://padlet.com/amreinha/v96mltd3cxkxsza5/wish/3338864966 What is a Generalization? amreinha https://padlet.com/amreinha/v96mltd3cxkxsza5/wish/3338865056 Generalizations are what I would consider as a "big idea" for students to capture when being taught a new lesson. Generalizations are considered multiple different concepts, in which they are truthful statements supported by facts but can have key words like "often, can, may" in them to make them up to debate for not all different instances in the statement presented.

]]> 2025-02-23 05:32:47 UTC https://padlet.com/amreinha/v96mltd3cxkxsza5/wish/3338865056 Principles in Mathematics amreinha https://padlet.com/amreinha/v96mltd3cxkxsza5/wish/3339330390 2025-02-23 22:08:26 UTC https://padlet.com/amreinha/v96mltd3cxkxsza5/wish/3339330390 What is a Principle? amreinha https://padlet.com/amreinha/v96mltd3cxkxsza5/wish/3339330510 Principles have similar notations to generalizations in which they form different statements related to mathematics however the statements created are usually theorems. These theorems have factual evidence to being true and do not contain words such as "often, can, may".

]]> 2025-02-23 22:08:43 UTC https://padlet.com/amreinha/v96mltd3cxkxsza5/wish/3339330510 Level one Generalization amreinha https://padlet.com/amreinha/v96mltd3cxkxsza5/wish/3339339933

Students are able to use the new math knowledge given to them through generalization, however they do not know why it works.

]]> 2025-02-23 22:30:34 UTC https://padlet.com/amreinha/v96mltd3cxkxsza5/wish/3339339933 Level two Generalization amreinha https://padlet.com/amreinha/v96mltd3cxkxsza5/wish/3339342145 Students have an understanding of why it works and or how it works. Students can use this knowledge to develop more critical thinking skills for future problems but do not know if it applies to anything else yet.

]]> 2025-02-23 22:35:56 UTC https://padlet.com/amreinha/v96mltd3cxkxsza5/wish/3339342145 Level three Generalization amreinha https://padlet.com/amreinha/v96mltd3cxkxsza5/wish/3339342596 Students can now understand why it works and its affect (the math content learned) beyond the foundations learned before or in other words, what type of problems were done before to begin learning the concept.

]]> 2025-02-23 22:37:18 UTC https://padlet.com/amreinha/v96mltd3cxkxsza5/wish/3339342596 Develop Understanding amreinha https://padlet.com/amreinha/v96mltd3cxkxsza5/wish/3339343612 During Teaching, Teachers must have different appropriate ways to develop understanding for students. Below, is an example of one of those ways through an inductive-inquiry led activity.

]]> 2025-02-23 22:39:35 UTC https://padlet.com/amreinha/v96mltd3cxkxsza5/wish/3339343612 Making Generalizations in Mathematics amreinha https://padlet.com/amreinha/v96mltd3cxkxsza5/wish/3339350942 This website provides the different generalizations once again but also is able to give examples of what it looks like in the classroom.

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