Students’ proof schemes for mathematical proving and disproving of propositions

2016 ◽  
Vol 41 ◽  
pp. 26-44 ◽  
Author(s):  
KoSze Lee
Keyword(s):  
Proof Schemes ◽  
Mathematical Proving

scholarly journals University students metacognitive failures in mathematical proving investigated based on the framework of assimilation and accommodation

2016 ◽  
Vol 11 (12) ◽  
pp. 1119-1128 ◽  
Author(s):  
Huda Nizlel ◽  
Subanji ◽  
Nusantara Toto ◽  
Susiswo ◽  
Sutawidjaja Akbar ◽  
...  
Keyword(s):  
University Students ◽  
Mathematical Proving

The Zero-Knowledge Proof Schemes Based on Williams Public-Key Cryptosystem

2012 ◽  
Vol 546-547 ◽  
pp. 526-530
Author(s):  
Qian Zhang ◽  
De Han
Keyword(s):  
Proof Theory ◽  
Public Key ◽  
Public Key Cryptosystem ◽  
Zero Knowledge ◽  
Proof Schemes ◽  
Proof Scheme ◽  
Set Up ◽  
Zero Knowledge Proof

In this paper, through introducing the Williams public-key cryptosystem in detail, the analysis of the characteristics of the system, and the combination with zero knowledge proof, we set up a zero-knowledge proof scheme based on Williams public-key cryptosystem. The scheme will enrich the theory of cryptography, and particularly zero-knowledge proof theory.

scholarly journals Proving table as a systematic analysis tool for teaching and learning in mathematical proving

2020 ◽  
Author(s):  
Nurul Ashikin Abdul Rahman ◽  
Fatimah Abdul Razak ◽  
Syahida Che Dzul-Kifli ◽  
Miza Mumtaz Ahmad
Keyword(s):  
Teaching And Learning ◽  
Analysis Tool ◽  
Systematic Analysis ◽  
Mathematical Proving

APOS analysis on cognitive process in mathematical proving activities

2018 ◽  
Vol 1 (1) ◽  
pp. 1
Author(s):  
Syamsuri Syamsuri ◽  
Indiana Marethi
Keyword(s):  
Cognitive Process ◽  
Formal Proof ◽  
College Level ◽  
Mathematical Concepts ◽  
Apos Theory ◽  
Mathematical Proofs ◽  
Learning Mathematics ◽  
Partial Type ◽  
Thinking Process ◽  
Mathematical Proving

Thinking is very necessary in learning mathematics, both at school and college level. Several studies have attempted to reveal students' thinking in learning mathematics at college. This article aims to describe the mental structure that occurs when constructing mathematical proofs in terms of APOS theory. The APOS theory has been widely used in analyzing the formation of mathematical concepts in universities. This research explores a thinking process in proof constructing. It uses a qualitative approach. The research was conducted on 26 students majored in mathematics education in public university at Banten, Indonesia. The consideration of that was because the students were able to think a formal proof in mathematics. Results show that there are two types of thinking process in mathematical proving activities, namely:  the deductive-holistic and the inductive-partial type of thinking process. Based on the results, some suitable learning activities should be designed to support the construction of these mental categories.

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