Diverse Representations to The Sum of Powers of Two as a Means For Enhancing Interest and Creative Thinking in Mathematics Study

In this paper, we present several different approaches to formula for the sum of integer powers of two in accordance with different representations of this sum or different algebraic methods for its computation. Our long-term experience shows the effectiveness of discussion on this theme for enhanci...

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Main Authors: Dagan Miriam, Satianov Pavel, Teicher Mina
Format: Article
Language:English
Published: De Gruyter 2021-08-01
Series:Open Education Studies
Subjects:
Online Access:https://doi.org/10.1515/edu-2020-0148
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spelling doaj-a0138d1d60fa4d6984b4c500e97ef10b2021-09-22T06:13:06ZengDe GruyterOpen Education Studies2544-78312021-08-013115716210.1515/edu-2020-0148Diverse Representations to The Sum of Powers of Two as a Means For Enhancing Interest and Creative Thinking in Mathematics StudyDagan Miriam0Satianov Pavel1Teicher Mina2Bar-Ilan University, IsraelShamoon College of Engineering, IsraelBar-Ilan University, IsraelIn this paper, we present several different approaches to formula for the sum of integer powers of two in accordance with different representations of this sum or different algebraic methods for its computation. Our long-term experience shows the effectiveness of discussion on this theme for enhancing interest and creative thinking of the students about solutions of various problems, not only in mathematics but also in others fields of knowledge.https://doi.org/10.1515/edu-2020-0148creative thinkingdifferent representationsdiversity of approachesdeeper understanding
collection DOAJ
language English
format Article
sources DOAJ
author Dagan Miriam
Satianov Pavel
Teicher Mina
spellingShingle Dagan Miriam
Satianov Pavel
Teicher Mina
Diverse Representations to The Sum of Powers of Two as a Means For Enhancing Interest and Creative Thinking in Mathematics Study
Open Education Studies
creative thinking
different representations
diversity of approaches
deeper understanding
author_facet Dagan Miriam
Satianov Pavel
Teicher Mina
author_sort Dagan Miriam
title Diverse Representations to The Sum of Powers of Two as a Means For Enhancing Interest and Creative Thinking in Mathematics Study
title_short Diverse Representations to The Sum of Powers of Two as a Means For Enhancing Interest and Creative Thinking in Mathematics Study
title_full Diverse Representations to The Sum of Powers of Two as a Means For Enhancing Interest and Creative Thinking in Mathematics Study
title_fullStr Diverse Representations to The Sum of Powers of Two as a Means For Enhancing Interest and Creative Thinking in Mathematics Study
title_full_unstemmed Diverse Representations to The Sum of Powers of Two as a Means For Enhancing Interest and Creative Thinking in Mathematics Study
title_sort diverse representations to the sum of powers of two as a means for enhancing interest and creative thinking in mathematics study
publisher De Gruyter
series Open Education Studies
issn 2544-7831
publishDate 2021-08-01
description In this paper, we present several different approaches to formula for the sum of integer powers of two in accordance with different representations of this sum or different algebraic methods for its computation. Our long-term experience shows the effectiveness of discussion on this theme for enhancing interest and creative thinking of the students about solutions of various problems, not only in mathematics but also in others fields of knowledge.
topic creative thinking
different representations
diversity of approaches
deeper understanding
url https://doi.org/10.1515/edu-2020-0148
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AT teichermina diverserepresentationstothesumofpowersoftwoasameansforenhancinginterestandcreativethinkinginmathematicsstudy
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