https://padlet.com/washton21/ra2cimn39s6075hg Concept Based Mathematics en-us 2023-02-04 23:45:32 UTC 2023-02-05 01:34:51 UTC hello@padlet.com washton21 https://padlet.com/washton21/ra2cimn39s6075hg/wish/2468694611 The best question a student can ask is "Why?," and there is never a bad time to ask it.]]> 2023-02-05 00:07:43 UTC https://padlet.com/washton21/ra2cimn39s6075hg/wish/2468694611 washton21 https://padlet.com/washton21/ra2cimn39s6075hg/wish/2468697178 Each of these six procedures represents practice with higher level thinking. This are not exclusive to math, but they must be used in tandem with strategies, skills, and algorithms. ]]> 2023-02-05 00:22:36 UTC https://padlet.com/washton21/ra2cimn39s6075hg/wish/2468697178 washton21 https://padlet.com/washton21/ra2cimn39s6075hg/wish/2468697762 Thinking logically to find a solution. Problem Solving skills include understanding the problem, formulating plans, completing those plans, and reviewing/extending.
This could include extracting key points, trying new strategies, and others. ]]> 2023-02-05 00:25:47 UTC https://padlet.com/washton21/ra2cimn39s6075hg/wish/2468697762 washton21 https://padlet.com/washton21/ra2cimn39s6075hg/wish/2468698778 Why does my solution make sense? Is is a structurally sound solution, or did I just get lucky?
Good proofreading and writing skills also help students identify and fix mistakes. Very useful for student motivation, as some of these skills involve perseverance on difficult problems. 
Also deepens understanding.]]> 2023-02-05 00:30:06 UTC https://padlet.com/washton21/ra2cimn39s6075hg/wish/2468698778 washton21 https://padlet.com/washton21/ra2cimn39s6075hg/wish/2468699226 Learning how to appropriately talk and write about math is a difficult concept at first, but it very influential. It helps keep higher-order concepts manageable. Good communication makes it easier to explain our point of view. Hand in hand with Reasoning and Proofwriting.]]> 2023-02-05 00:32:26 UTC https://padlet.com/washton21/ra2cimn39s6075hg/wish/2468699226 washton21 https://padlet.com/washton21/ra2cimn39s6075hg/wish/2468699626 Number talks are great ways to get students practicing math communication. They are also useful as starters for higher-level thinking practices. ]]> 2023-02-05 00:34:42 UTC https://padlet.com/washton21/ra2cimn39s6075hg/wish/2468699626 washton21 https://padlet.com/washton21/ra2cimn39s6075hg/wish/2468707447 Finding connections between formulas and applications, conceptual math and the real world, the inter-relatedness of facts, and old to new problems, amongst many others. ]]> 2023-02-05 01:12:43 UTC https://padlet.com/washton21/ra2cimn39s6075hg/wish/2468707447 washton21 https://padlet.com/washton21/ra2cimn39s6075hg/wish/2468708127 Being able to create representations of concepts not only shows a strong understanding of the concept but also makes it easier to manipulate (for many students). Students who are able to visualize the concepts they are practicing tend to have greater success, in my experience.]]> 2023-02-05 01:15:20 UTC https://padlet.com/washton21/ra2cimn39s6075hg/wish/2468708127 washton21 https://padlet.com/washton21/ra2cimn39s6075hg/wish/2468708516 There are always going to be unknown situations in Math. Being able to investigate new topics is very useful in grasping that first understanding, instead of waiting for the solution to be presented to you.]]> 2023-02-05 01:17:35 UTC https://padlet.com/washton21/ra2cimn39s6075hg/wish/2468708516 washton21 https://padlet.com/washton21/ra2cimn39s6075hg/wish/2468708934 An example of this would be adding positive and negative integers using algebra tiles! ]]> 2023-02-05 01:19:52 UTC https://padlet.com/washton21/ra2cimn39s6075hg/wish/2468708934 washton21 https://padlet.com/washton21/ra2cimn39s6075hg/wish/2468711890 Structure of Knowledge is the idea that students are able to provide a description of a problem in their own words as a way to start thinking about the problem. This would include understanding what the variables mean, the type of equation one is working with, and more.]]> 2023-02-05 01:34:48 UTC https://padlet.com/washton21/ra2cimn39s6075hg/wish/2468711890