Reflections on Invented Algorithms by Cathy Nguyen https://padlet.com/cathy_nguyen2/seqb0u8zg3iiq4nb Read Children's Mathematics pgs. 110-116 to learn more about invented algorithms. Add an important idea from the reading that you want to take with you into next school year and why. en-us 2020-06-14 22:09:31 UTC 2026-03-13 00:52:43 UTC hello@padlet.com 114 https://padlet.com/cathy_nguyen2/seqb0u8zg3iiq4nb/wish/638005779 do teachers need to demonstrate prob. solving strategies or should it all be student-guided? ]]> 2020-06-23 22:03:35 UTC https://padlet.com/cathy_nguyen2/seqb0u8zg3iiq4nb/wish/638005779 Pages 111-116 https://padlet.com/cathy_nguyen2/seqb0u8zg3iiq4nb/wish/638008094 Understanding the invented algorithms for the different Multiplication and Division problem sets will help to facilitate the conversation with my students to further their thinking in the fall.]]> 2020-06-23 22:06:28 UTC https://padlet.com/cathy_nguyen2/seqb0u8zg3iiq4nb/wish/638008094 111-116 https://padlet.com/cathy_nguyen2/seqb0u8zg3iiq4nb/wish/638010278 As students begin to learn strategies, many students use tens to help them since it is something that is easy for them to understand.  There are many ways that students can use tens to multiply and divide.

]]> 2020-06-23 22:09:44 UTC https://padlet.com/cathy_nguyen2/seqb0u8zg3iiq4nb/wish/638010278 113 https://padlet.com/cathy_nguyen2/seqb0u8zg3iiq4nb/wish/638010464 Students use invented algorithms but they are also selective in which strategies they will use. They make a choice with the understanding that selecting the right strategy will lead them to the best answer. This awareness is valuable.]]> 2020-06-23 22:10:01 UTC https://padlet.com/cathy_nguyen2/seqb0u8zg3iiq4nb/wish/638010464 112 https://padlet.com/cathy_nguyen2/seqb0u8zg3iiq4nb/wish/638011474 Children tend to use base-ten materials to solve a multiplication problem only when more than ten objects are in the collections described in the problem.]]> 2020-06-23 22:11:21 UTC https://padlet.com/cathy_nguyen2/seqb0u8zg3iiq4nb/wish/638011474 116 https://padlet.com/cathy_nguyen2/seqb0u8zg3iiq4nb/wish/638013355 Some strategies lend themselves to specific problems types. For example doubling is a strategy you can use for muesurement division problems, but would be difficult to apply to partitive division problems. ]]> 2020-06-23 22:13:56 UTC https://padlet.com/cathy_nguyen2/seqb0u8zg3iiq4nb/wish/638013355 Overall https://padlet.com/cathy_nguyen2/seqb0u8zg3iiq4nb/wish/638013471 Manipulating and breaking apart numbers is a higher thinking skill that students need in order to be successful. Students need to develop sense making too and find patterns because math is all about patterns.

]]> 2020-06-23 22:14:08 UTC https://padlet.com/cathy_nguyen2/seqb0u8zg3iiq4nb/wish/638013471 ilv1543 https://padlet.com/cathy_nguyen2/seqb0u8zg3iiq4nb/wish/638013485 In Partitive Division problems children organize or break down objects to make tens.This allows students to show higher thinking skills.]]> 2020-06-23 22:14:10 UTC https://padlet.com/cathy_nguyen2/seqb0u8zg3iiq4nb/wish/638013485 111 https://padlet.com/cathy_nguyen2/seqb0u8zg3iiq4nb/wish/638013692 "Invented Algorithms actually can be more efficient than standard algorithms."
"...Can contribute to the development of children's number sense and and estimation abilities."]]> 2020-06-23 22:14:27 UTC https://padlet.com/cathy_nguyen2/seqb0u8zg3iiq4nb/wish/638013692 Magnolia https://padlet.com/cathy_nguyen2/seqb0u8zg3iiq4nb/wish/638014099 With adding strategies, children represents each group with a numeral, make use of their invented algorithm, and notate in order to keep track of their computation.]]> 2020-06-23 22:15:06 UTC https://padlet.com/cathy_nguyen2/seqb0u8zg3iiq4nb/wish/638014099 https://padlet.com/cathy_nguyen2/seqb0u8zg3iiq4nb/wish/638014672 Direct modeling with tens for multiplication problems requires an understanding of base-ten concepts.]]> 2020-06-23 22:16:05 UTC https://padlet.com/cathy_nguyen2/seqb0u8zg3iiq4nb/wish/638014672 112 https://padlet.com/cathy_nguyen2/seqb0u8zg3iiq4nb/wish/638015053 Children will use the necessary strategies to solve the problems]]> 2020-06-23 22:16:44 UTC https://padlet.com/cathy_nguyen2/seqb0u8zg3iiq4nb/wish/638015053 Allison https://padlet.com/cathy_nguyen2/seqb0u8zg3iiq4nb/wish/638015380 On page 115, sometimes students use Measurement and Partitive Division.]]> 2020-06-23 22:17:16 UTC https://padlet.com/cathy_nguyen2/seqb0u8zg3iiq4nb/wish/638015380 Direct modeling with tens. Understanding that tens can be broken apart. https://padlet.com/cathy_nguyen2/seqb0u8zg3iiq4nb/wish/638017539 2020-06-23 22:20:28 UTC https://padlet.com/cathy_nguyen2/seqb0u8zg3iiq4nb/wish/638017539 Students need to have a lot of experience with tens and ones and Direct Modeling, so they can manipulate them breaking them apart and grouping them together. This will allow them to use invented algorithm an multiply and divide with multi digit numbers. https://padlet.com/cathy_nguyen2/seqb0u8zg3iiq4nb/wish/638017985 2020-06-23 22:21:12 UTC https://padlet.com/cathy_nguyen2/seqb0u8zg3iiq4nb/wish/638017985