Binary Addition and Subtraction

2020 ◽  
pp. 153-184
Author(s):  
Dale Patrick ◽  
Stephen Fardo ◽  
Vigyan ‘Vigs’ Chandra
Pramana ◽  
2005 ◽  
Vol 64 (2) ◽  
pp. 239-247 ◽  
Author(s):  
Archan Kumar Das ◽  
Partha Pratima Das ◽  
Sourangshu Mukhopadhyay

Author(s):  
Terezinha Nunes

Before children learn to use language, they learn about the world in action and by imitation. This learning provides the basis for language acquisition. Learning by imitation and thinking in action continue to be significant throughout life. Mathematical concepts are grounded in children’s schemas of action, which are action patterns that represent a logical organization that can be applied to different objects. This chapter describes some of the conditions that allow deaf or hard-of-hearing (DHH) children to learn by imitation and use schemas of action successfully to solve mathematical problems. Three examples of concepts that can be taught by observation and thinking in action are presented: the inverse relation between addition and subtraction, the concepts necessary for learning to write numbers, and multiplicative reasoning. There is sufficient knowledge for the use of teaching approaches that can prevent DHH children from falling behind before they start school.


2021 ◽  
Vol 1105 (1) ◽  
pp. 012096
Author(s):  
Basim Hasan Almajdi ◽  
Abbas Na’im Mohsin ◽  
Tabark Hussein Ali

2017 ◽  
Vol 11 (1) ◽  
pp. 1-7 ◽  
Author(s):  
Tanay Chattopadhyay ◽  
Dilip Kumar Gayen

2012 ◽  
Vol 43 (4) ◽  
pp. 428-464 ◽  
Author(s):  
Michelle Stephan ◽  
Didem Akyuz

This article presents the results of a 7th-grade classroom teaching experiment that supported students' understanding of integer addition and subtraction. The experiment was conducted to test and revise a hypothetical learning trajectory so as to propose a potential instructional theory for integer addition and subtraction. The instructional sequence, which was based on a financial context, was designed using the Realistic Mathematics Education theory. Additionally, an empty, vertical number line (VNL) is posited as a potentially viable model to support students' organizing their addition and subtraction strategies. Particular emphasis is placed on the mathematical practices that were established in this setting. These practices indicate that students can successfully draw on their experiences with assets, debts, and net worths to create meaning for integer addition and subtraction.


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