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Piaget's Mental Strategies

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2.OA.B.2. Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of two one-digit numbers reason abstractly and quantitatively. This standard is inappropriate because Piaget states that children in the concrete operational stage are not able to think abstractly. Abstract thinking takes you away from the here and now. It hard for second graders to think without using materials in front of them. “Piaget is criticized for underestimating the abilities of young children but, Abstract directions and requirements may cause young children to fail at tasks they can do under simpler conditions,” This is why they often struggle with mental math. These mental strategies are hard for children in the concrete operational stage to grasp without manipulatives. The ability to calculate mentally is hard because students …show more content…

OA.B.2. Fluently add and subtract within 20 using manipulatives and hands on materials. By end of Grade 2, know all sums of two one-digit numbers. For the new standard, children will learn the same material but in a concrete way instead. They will perform the same task with a different outlook. This new standard requires children to use manipulatives in front of them to solve the problem instead of using mental math. This new written standard is more developmentally correct because it goes with Piaget’s thinking of teaching children this age in a concrete way. An appropriate standard According to Arizona College and Career Ready Standards of second grade math is 2.OA.C.4. This standard falls under the Operations and Algebraic Thinking Category. The goal is to construct viable arguments and critique the reasoning of others, look for and make use of structure, and to look for and express regularity in repeated reasoning. 2.OA.C.4. Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns; write an equation to express the total as a sum of equal

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