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浅谈中学“数学建模”的教学
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作者 熊永生 《福建教育研究》 2015年第9期66-67,共2页
通过数学建模训练思维能力,不仅旨在提高学生应用数学的意识而且也是加强数学与实际的联系,实施数学素质教育的一个重要方面。
关键词 学问 数学建模 分析联想抽象转化 解数学问题
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利用语文阅读法巧解数学中的难点问题研究
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作者 黄书静 《进展》 2021年第7期152-154,共3页
在数学问题中,有一些难理解的、难懂的文字,常常让学生读不懂,难以理解,以至于这类问题的解答错误率十分高,让我们数学教师非常苦恼。如果作为数学教师的我们,能恰当、合理地运用语文教学中的阅读方法,引导学生学会阅读,帮助学生正确地... 在数学问题中,有一些难理解的、难懂的文字,常常让学生读不懂,难以理解,以至于这类问题的解答错误率十分高,让我们数学教师非常苦恼。如果作为数学教师的我们,能恰当、合理地运用语文教学中的阅读方法,引导学生学会阅读,帮助学生正确地理解题目的意思。那么,我们的数学教学将会收到良好的学习效果。 展开更多
关键词 利用 语文阅读法 解数学问题
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On the Acceleration Problem of q-Bernstein Polynomials 被引量:1
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作者 YUN Lian-ying XIANG Xue-yan WANG Hui 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2008年第2期252-259,共8页
In this paper, we investigate not only the acceleration problem of the q-Bernstein polynomials Bn(f, q; x) to B∞ (f, q; x) but also the convergence of their iterated Boolean sum. Using the methods of exact estima... In this paper, we investigate not only the acceleration problem of the q-Bernstein polynomials Bn(f, q; x) to B∞ (f, q; x) but also the convergence of their iterated Boolean sum. Using the methods of exact estimate and theories of modulus of smoothness, we get the respective estimates of the convergence rate, which suggest that q-Bernstein polynomials have the similar answer with the classical Bernstein polynomials to these two problems. 展开更多
关键词 q-Bernstein polynomial ACCELERATION iterated Boolean sum convergence rate
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A novel hybrid estimation of distribution algorithm for solving hybrid flowshop scheduling problem with unrelated parallel machine 被引量:9
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作者 孙泽文 顾幸生 《Journal of Central South University》 SCIE EI CAS CSCD 2017年第8期1779-1788,共10页
The hybrid flow shop scheduling problem with unrelated parallel machine is a typical NP-hard combinatorial optimization problem, and it exists widely in chemical, manufacturing and pharmaceutical industry. In this wor... The hybrid flow shop scheduling problem with unrelated parallel machine is a typical NP-hard combinatorial optimization problem, and it exists widely in chemical, manufacturing and pharmaceutical industry. In this work, a novel mathematic model for the hybrid flow shop scheduling problem with unrelated parallel machine(HFSPUPM) was proposed. Additionally, an effective hybrid estimation of distribution algorithm was proposed to solve the HFSPUPM, taking advantage of the features in the mathematic model. In the optimization algorithm, a new individual representation method was adopted. The(EDA) structure was used for global search while the teaching learning based optimization(TLBO) strategy was used for local search. Based on the structure of the HFSPUPM, this work presents a series of discrete operations. Simulation results show the effectiveness of the proposed hybrid algorithm compared with other algorithms. 展开更多
关键词 hybrid estimation of distribution algorithm teaching learning based optimization strategy hybrid flow shop unrelated parallel machine scheduling
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Role of Metacognition in Mathematical Problem Solving Process of Permutations and Combinations--Basic Study for CAI Software Development 被引量:1
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作者 Atsuo Murata Yukio Ohta 《Computer Technology and Application》 2013年第6期296-306,共11页
When solving a mathematical problem, we sometimes encounter a situation where we can not reach a correct answer in spite of acquiring knowledge and formula necessary for the solution. The reason can be attributed to t... When solving a mathematical problem, we sometimes encounter a situation where we can not reach a correct answer in spite of acquiring knowledge and formula necessary for the solution. The reason can be attributed to the lack in metacognitive abilities. Metacognitive abilities consist of comparing the difficulty of problem with own ability, proper plan of solution process, and conscious monitoring and control of solution process. The role and importance of metacognitive ability in mathematical problem solving of permutations and combinations was explored. Participants were required to solve five practical problems related to permutations and combinations. For each problem, the solution process was divided into: (1) understanding (recognition) of mathematical problem; (2) plan of solution; (3) execution of solution. Participants were also required to rate the anticipation whether they could solve it or not, and to rate the confidence of their own answer. According to the total score of five problems, the participants were categorized into the group of the high test score and the group of the low test score. As a result, at the plan and the execution processes, statistically significant differences were detected between the high and the low score groups. As for the rating on the anticipation of result and the confidence of own answer, no significant differences were found between both groups. Moreover, the relationship between the score of plan process and the score of execution process was statistically correlated. In other words, the more proper the plan process was conducted, the more proper solution the participants reached. In such a way, the importance of metacognitive ability in the solving process, especially the plan ability, was suggested. 展开更多
关键词 Permutation and combination problem METACOGNITION understanding plan EXECUTION CAI (computer assistedinstruction).
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Key Exchange Protocol Based on Tensor Decomposition Problem 被引量:1
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作者 MAO Shaowu ZHANG Huanguo +3 位作者 WU Wanqing ZHANG Pei SONG Jun LIU Jinhui 《China Communications》 SCIE CSCD 2016年第3期174-183,共10页
The hardness of tensor decomposition problem has many achievements, but limited applications in cryptography, and the tensor decomposition problem has been considered to have the potential to resist quantum computing.... The hardness of tensor decomposition problem has many achievements, but limited applications in cryptography, and the tensor decomposition problem has been considered to have the potential to resist quantum computing. In this paper, we firstly proposed a new variant of tensor decomposition problem, then two one-way functions are proposed based on the hard problem. Secondly we propose a key exchange protocol based on the one-way functions, then the security analysis, efficiency, recommended parameters and etc. are also given. The analyses show that our scheme has the following characteristics: easy to implement in software and hardware, security can be reduced to hard problems, and it has the potential to resist quantum computing.Besides the new key exchange can be as an alternative comparing with other classical key protocols. 展开更多
关键词 key exchange resistant quantum hard problem tensor decomposition
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Experimental research on mathematics teaching of“situated creation and problem-based instruction”in Chinese primary and secondary schools
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作者 XIA Xiaogang LÜ Chuanhan +1 位作者 WANG Bingyi SONG Yunming 《Frontiers of Education in China》 2007年第3期366-377,共12页
This research tends to make the experimental study on the mathematics teaching model of“situated creation and problem-based instruction”(SCPBI),namely,the teaching process of“creating situations—posing problems—s... This research tends to make the experimental study on the mathematics teaching model of“situated creation and problem-based instruction”(SCPBI),namely,the teaching process of“creating situations—posing problems—solving problems—applying mathematics”.It is aimed at changing the situation where students generally lack problem-based learning experience and problem awareness.Result shows that this teaching model plays a vital role in arousing students’interest in mathematics,improving their ability to pose problems and upgrading their mathematics learning ability as well. 展开更多
关键词 mathematics situations problem posing problem solving mathematics teaching experimental class control class
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