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Mathematical reasoning and proof

Mathematical Reasoning and the Inductive Process: An Examination of The Law of Quadratic Reciprocity

Mathematical Reasoning and the Inductive Process: An Examination of The Law of Quadratic Reciprocity

... third proof of quadratic reci- procity based on Gauss’ ...this proof is longer and a bit more technical; however Eisenstein was able to greatly simplify it when he realized that the exponent in Gauss’ lemma ...

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The Application Of Problem-Based Learning Model To Improve Students' Mathematical Reasoning Skills

The Application Of Problem-Based Learning Model To Improve Students' Mathematical Reasoning Skills

... trying, reasoning, presenting, and creating so that learning becomes ...students’ reasoning skills that help them in learning and solving daily life problems Curriculum 2013 in Hosnan ( ...2014). ...

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Student teachers' conceptions of mathematical proof

Student teachers' conceptions of mathematical proof

... of mathematical proof, the above considerations say something about the difficulties pupils have in learning what constitutes a proof and indicate some ways in which proof might be taught in a ...

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STUDENTS LOGICAL REASONING AND MATHEMATICAL PROVING OF IMPLICATIONS. KoSze Lee A DISSERTATION

STUDENTS LOGICAL REASONING AND MATHEMATICAL PROVING OF IMPLICATIONS. KoSze Lee A DISSERTATION

... of mathematical reasoning and proving, aspects of students’ performance in proof and proving are no longer limited to proof productions as studied in the past (Alcock & Weber, 2005; ...

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An Analysis Of Students’ Mathematical Reasoning Ability On Abstract Algebra Course

An Analysis Of Students’ Mathematical Reasoning Ability On Abstract Algebra Course

... further advancement in mathematics. Moreover, for the question number 3 and 4 that measured the third and fourth indicators, it included the types of routine questions that involved more calculations activities. The item ...

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Developing a Validated Test to Measure Students’ Progression in Mathematical Reasoning in Primary School

Developing a Validated Test to Measure Students’ Progression in Mathematical Reasoning in Primary School

... defined mathematical reasoning as a relationship between two elements: a condition or observed facts and a ...described mathematical reasoning as ‘a logical linking of propositions’ ...viewed ...

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Improving Students' Mathematical Reasoning Ability Through Problem Posing Approaches at SMPN 19 Banda Aceh

Improving Students' Mathematical Reasoning Ability Through Problem Posing Approaches at SMPN 19 Banda Aceh

... Mathematical reasoning ability is one of the abilities expected by every student to learn ...mathematics. Reasoning is an integral part of doing mathematics ...of mathematical reasoning ...

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Reasoning and Geometric Proof in Mathematics Education:  A Review of the Literature

Reasoning and Geometric Proof in Mathematics Education: A Review of the Literature

... promote mathematical reasoning and ...use mathematical conversations with each other as springboards for deeper investigations, such that what the student and teacher do in action subsequently ...

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Grounded and embodied mathematical cognition: Promoting mathematical insight and proof using action and language

Grounded and embodied mathematical cognition: Promoting mathematical insight and proof using action and language

... H3 incorrectly predicted that relevant directed actions elicited without pedagogical hints that signaled their mathematics relevance would promote insight. H3 makes a claim that bypasses the hypothesized media- tional ...

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Mathematical Reasoning of Treatment Principle Based on the Stable Logic Analysis Model of Complex Systems

Mathematical Reasoning of Treatment Principle Based on the Stable Logic Analysis Model of Complex Systems

... it as “Estimating approach based on the assumption that future-value of a variable is a mathematical function of the values of other variable(s). Used where sufficient his torical data is available, and the ...

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Linking Teacher Learner Discourse With Mathematical Reasoning of Students With Learning Disabilities: An Exploratory Study

Linking Teacher Learner Discourse With Mathematical Reasoning of Students With Learning Disabilities: An Exploratory Study

... The teacher thus made two, real-time, critical adapta- tions (Give moves) to enable Sally’s work. First, rather than modeling a correct solution procedure, he suggested that she use tangible objects (cubes) to represent ...

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Analysis of Mathematical Reasoning Ability (MRA) with the Discovery Learning Model in Gender issues

Analysis of Mathematical Reasoning Ability (MRA) with the Discovery Learning Model in Gender issues

... students' mathematical reasoning based on Discovery learning models in terms of ...student's mathematical reasoning ability test consisting of four items in the form of essays ...the ...

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A Mathematical Proof: Focus during Weekdays Should Be on Supply for the Sabbath a Support for Workable Competition

A Mathematical Proof: Focus during Weekdays Should Be on Supply for the Sabbath a Support for Workable Competition

... We prove that consumers having fluctuating downwardsloping linear-demand curves, Sabbath versus Weekday, with the Sabbath demand curve to the right of the Weekday demand curve, a pricing[r] ...

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Case Study of Diagnosis and Treatment Analysis of Mathematical Disorder of a Pupil with Reference to an Approximate Reasoning Approach

Case Study of Diagnosis and Treatment Analysis of Mathematical Disorder of a Pupil with Reference to an Approximate Reasoning Approach

... approximate reasoning approach as an alternative for traditional ...the mathematical learning of Piaget’s (1998) hierarchy system, the pupil under study will reach the sufficient cognitive scale in solving ...

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Mathematical Proof for the Minimized Stray Fields in Transformers Using Auxiliary Windings Based on State Equations for Evaluation of FEM Results

Mathematical Proof for the Minimized Stray Fields in Transformers Using Auxiliary Windings Based on State Equations for Evaluation of FEM Results

... field opposing the primary and secondary stray field. Referring to Eq. (9), the best way to optimize the operation of the auxiliary windings is to assemble the transformer in such a way that one auxiliary winding is ...

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The Development of Mathematical Logical Reasoning through Computer Programming: The Case of the Computer Programming Olympics for Basic Education Students

The Development of Mathematical Logical Reasoning through Computer Programming: The Case of the Computer Programming Olympics for Basic Education Students

... in mathematical logical reasoning among students who participated in the Computer Programming Olympics for Stu- dents of Basic Education promoted by the Grupo de Estudo e Pesquisa em In- clusão Digital ...

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Automated Proof and Discovery of Inductive Theorems with Rewriting Induction over Multi-Context Reasoning Systems: State-of-the-Art Technologies and Perspectives

Automated Proof and Discovery of Inductive Theorems with Rewriting Induction over Multi-Context Reasoning Systems: State-of-the-Art Technologies and Perspectives

... multi-context reasoning system ...automated proof and discovery of inductive theorems in the framework of rewriting induction [2], we briefly survey past and current state-of-the-art technologies of such ...

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Reasoning about hybrid reasoning : a discussion

Reasoning about hybrid reasoning : a discussion

... The second author has argued Cohn 1987,1989 for the utility of such expressiveness and has designed a special purpose, resolution based, system to perform hybrid reasoning in a many sort[r] ...

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Lines and Angles. Chapter 1 Points, Lines, Planes, and Angles. Chapter 2 Reasoning and Proof. Chapter 3 Parallel and Perpendicular Lines

Lines and Angles. Chapter 1 Points, Lines, Planes, and Angles. Chapter 2 Reasoning and Proof. Chapter 3 Parallel and Perpendicular Lines

... 41. If two angles are supplementary, then one of the angles is obtuse.. It can be used to find the measures of the sides and the perimeter of a polygon. You can also find the measures of[r] ...

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Mathematical Reasoning of Economic Intervening Principle Based on “Yin Yang Wu Xing” Theory in Traditional Chinese Economics (I)

Mathematical Reasoning of Economic Intervening Principle Based on “Yin Yang Wu Xing” Theory in Traditional Chinese Economics (I)

... putational reasoning comply with the selected logic sys- tem operation, and then in considering the research ob- ject of the specific content of the conditions, according to the logic of the selected system ...

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