• Research in Mathematical Education
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• v.24 no.3
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• pp.255-278
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• 2021

Proof serves a critical role in mathematical practices as well as in fostering student's mathematical understanding. However, the research literature accumulates results that there are not many opportunities available for students to engage with proving-related activities and that students' understanding about proof is not promising. This unpromising state of instruction of proof calls for a novel approach to address the aforementioned issues. This study investigated an instruction of proof to explore a pedagogy to teach how to prove. The teacher utilized the way of problem posing to make proving a routine part of everyday lesson and changed the classroom culture to support student proving. The study identified the teacher's support for student proving, the key pedagogical changes that embraced proving as part of everyday lesson, and what changes the teacher made to cultivate the classroom culture to be better suited for establishing a supportive community for student proving. The results indicate that problem posing has a potential to embrace proof into everyday lesson.

• School Mathematics
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• v.6 no.1
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• pp.59-90
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• 2004

This study has been established with two purposes. The first one is to development the learning-teaching model for enhancing students' creative proof capacities in the domain of demonstrative geometry as subject content. The second one is to aim at experimentally testing its effectiveness. First, we develop the learning-teaching model for enhancing students' proof capacities. This model is named the generative-convergent model based instruction. It consists of the following components: warming-up activities, generative activities, convergent activities, reflective discussion, other high quality resources etc. Second, to investigate the effects of the generative-convergent model based instruction, 160 8th-grade students are selected and are assigned to experimental and control groups. We focused that the generative-convergent model based instruction would be more effective than the traditional teaching method for improving middle school students' proof-writing capacities and error remediation. In conclusion, the generative-convergent model based instruction would be useful for improving middle grade students' proof-writing capacities. We suggest the following: first, it is required to refine the generative-convergent model for enhancing proof-problem solving capacities; second, it is also required to develop teaching materials in the generative-convergent model based instruction.

• The Korean Society of Law and Medicine
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• v.14 no.2
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• pp.143-172
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• 2013

In order to achieve the purpose of treatment for patients by a doctor, the instruction explanation obligation, which means that he should give patients the description in more details to prepare for postoperative sequelae or complications, is common with the advice explanation obligation as a doctor should ex-plain some information to patients. Since the advice explanation obligation is the benefit and protection of the law for self determination right, but the instruction explanation obligation is one for the integrity of body and life, one can be distinct from the other. Judgments giving the instruction on the concept of instruction explanation obligation, specific methods of implementation and a range of compensation for damage are recently being made by courts at all levels including the Supreme Court. It is the time to systematize them. The contents which have been mainly discussed so far include the essence of above mentioned instruction explanation obligation. However, when the tendency of practice is considered, the efforts are required to admit the organic relevance between instruction explanation obligation and advice explanation obligation and to explain the relationship without any contradiction. For whereabouts of li-ability of proof, patients theoretically demonstrate the failure to implement it. However, when the theoretical consistency is maintained, it is likely to fail the intent to recognize the instruction explanation obligation and it may ask patients to prove something impossible to be proven. Thus, these things should be considered. Moreover, as the instruction explanation obligation is associated with medicine instruction obligation of a pharmacist and the coverage is being extended, it is the time to require the systematic study on the theoretical limit.

• Communications of Mathematical Education
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• v.28 no.4
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• pp.513-528
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• 2014

This study is intended to examine 36 in-service secondary school mathematics teachers' conceptions of proof in the context of mathematics and mathematics education. The results suggest that almost teachers recognize the role as justification well but have the insufficient conceptions about another various roles of proof in mathematics. The results further suggest that many of teachers have vague concept-images in relation with the requirement of proof and recognize the insufficiency about the actual teaching of proof. Based on the results, implications for revision of mathematics curriculum and mathematics teacher education are discussed.

• Korean Journal of Culture and Social Issue
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• v.21 no.3
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• pp.497-510
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• 2015

The jury instruction consists of a set of legal rules and provides a guide for jurors to interpret evidence and the legal standard of a proof beyond reasonable doubt. Jury instructions are usually given after the closing arguments (at the end of the trial). But some research has shown that jury instruction provided before the evidence may have an impact on verdict. The present study was to determine the cognitive process caused by early instruction: (1) Early instruction may influence the verdict by upwardly adjusting the threshold for the decision to convict; (2) early instruction may influence the verdict through evaluations of the probative values of evidence; (3) Or both. 187 people older than 20 years of age participated in the on-line survey. With a trial scenario, one independent variable, Instruction Procedure, was manipulated in three levels: before-and-after the evidence procedure, after-only evidence procedure, and no-instruction procedure. The instruction procedure conditions did not show any difference in the evaluation of the probative values of evidence. On the other hand, before-and-after condition showed the lowest rate of guilty verdict and the highest probability of guilt for the defendant in the scenario. This latter result clearly suggested that the instruction procedure affects the decision threshold. Specifically, instruction provided twice, once before and again after the evidence, may upwardly shift the threshold for the decision to convict.

• Journal of Multimedia Information System
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• v.8 no.4
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• pp.243-250
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• 2021

Instructional contents are used to demonstrate a technical process to teach and walkthrough certain procedures to carry out a task. This type of informational content is widely used for teaching and lectures in form of tutorial videos and training videos. Since there are questions and uncertainties for what could be the killer application for the novel wearables, we propose a self-instruction training application on a smart glass to utilize already-available instruction videos as well as public open data in creative ways. We design and implement a prototype application to help users train by wearing smart glasses specifically designed for two concrete and hand-constrained use cases where the user's hands need to be free to operate. To increase the efficiency and feasibility of the self-instruction training, we contribute to the development of a wearable killer application by integrating a voice-based user interface using speech recognizer, public open data APIs, and timestamp-based procedural content navigation structure into our proof-of-concept application.

• Journal of Educational Research in Mathematics
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• v.18 no.4
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• pp.455-467
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• 2008

We need to reflect the establishment of meaning and level of 'proof and argumentation in middle school mathematics'. It should be considered as human activity through communication in community. Thus, we should design instruction from this standpoint. From this point of view, we had been operated 'Geometry Inquiry Class' aimed at middle school students in eighth grade for two years to improve current geometry class in middle school. In this study, we will observe how individual students' original proof schemes are developed and accepted to the class through the process of mutual negotiation between the teacher and students. The episode with four phases begins with the initial proof schemes students have offered. Through the negotiation of class participants, it gives birth to the proof scheme unique to the current geometry classroom. Why do we pay attention to the process? It is because we think that the value of this type of instruction lies in the process of communication and mutual understanding and mutual reference, not in the completeness of the final product. This is the very appropriate proof in the middle school mathematics classroom.

• Journal of Computing Science and Engineering
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• v.6 no.4
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• pp.267-278
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• 2012

The state-of-the-art techniques in multicore timing analysis are limited to analyze multicores with shared instruction caches only. This paper proposes a uniform framework to analyze the worst-case performance for both shared instruction caches and data caches in a multicore platform. Our approach is based on a new concept called address flow graph, which can be used to model both instruction and data accesses for timing analysis. Our experiments, as a proof-of-concept study, indicate that the proposed approach can accurately compute the worst-case performance for real-time threads running on a dual-core processor with a shared L2 cache (either to store instructions or data).

• THE INTERNATIONAL COMMERCE & LAW REVIEW
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• v.53
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• pp.101-133
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• 2012

The paper aims to analyse the obligations and Responsibilities of shipper in the Rotterdam Rules. The Rotterdam Rules, has underlying intention that it will provide uniform law for the international carriage of goods by sea. It is highly expected that the Rotterdam Rules will create the new international legal regime replacing Hague-Visby Rules and Hamburg Rules. Rotterdam Rules provide the obligations and responsibilities of shipper in express. The shippers obliged to provide, (a) duty as to the condition in which the cargo has to be delivered to the carrier, (b) cooperation of the shipper and the carrier in providing information and instruction, and (c) shipper's obligation to provide information, instructions and documents. The shipper is liable for loss or damage sustained by the carrier if the carrier proves that such loss or damages was caused by a breach of the shipper's obligations. However, the shipper is relieved of all or part of its liability if the cause or one of the causes of the loss or damage is not attributable to its fault or to the fault. But, the shipper shall indemnify the carrier against loss or damage resulting from the inaccuracy of such information. Rotterdam Rules is providing rather concrete as to the shipper's responsibilities and burden of proof in separate chapter. The question is whether such burden of proof of the fault should be imposed to the shipper.

• Journal of Gifted/Talented Education
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• v.25 no.4
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• pp.581-605
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• 2015

The purpose of this study is to build an instruction method focused on the mathematical process and apply it to 12, 5-year-olds from Kindergarten located in Seoul with a view to explore the changes in their mathematical thinking. In addition, surveys with parents and teachers, as well as those conducted in the field of early childhood education, were conducted to analyze the current situation. The effects focused on the five mathematical processes, namely problem solving, reasoning and proof, connecting, representing and communication was found to help the interactions between teacher-child and child-child stimulate the mathematical thinking of the children and induce changes. The mathematical process-focused instruction aimed to advance mathematical thinking internalized mathematical knowledge, presented an integrated problematic situation, and empathized the mathematical process, which enabled the children to solve the problem by working together with peers. As such, the mathematical thinking of the children was integrated and developed within the process of a positive change in the mathematical attitude in which mathematical knowledge is internalized through mathematical process.