基于数学思想方法的小学数学算理分析

运用数学思想方法分析算理过程,可提高学生的运算能力、分析能力,帮助学生归纳运算关系和方法.基于对应思想分析了一年级的比多少、偶数集与自然数集元素同样多的算理;基于函数思想分析了乘法口诀表、正反比例关系的算理;基于化归思想分析了加减乘除口算、两位数乘两位数计算法则、多边形面积计算公式的算理;基于数形结合思想分析了异分母相加减、分数乘除法及极限问题的算理.

小学数学计算教学算理的结构分析及教学策略

数学是小学阶段的基础性课程,对学生思维能力和实践能力的培养有不可替代的作用。在小学数学教学中,计算能力的培养是重中之重。结合小学生的年龄和心理特征,该阶段的学生易于记忆学习。因此,在小学数学教学中培养和训练学生的计算能力,无论是对学生数学能力的培养还是综合素质的提高都有积极意义。因此,教师还需要及时审视教学现状,积极对教学理念和教学方式进行优化调整,使学生在数学计算中得到不断提升,能够将所学运用于解决实际问题的过程中,达到学以致用的目的。

小学数学计算教学算理的结构分析及教学策略

小学阶段是培养学生计算能力的重要阶段,因此,小学数学教师在教学过程中需要以学生计算能力的培养为核心来开展计算教学。而这也就需要教师引导小学生详细分析算理结构和应用算理知识,从而在此基础上显著提升计算的正确率和速度性。以下,本文将针对小学数学计算教学中算理的结构分析和教学策略展开深入研究,旨在帮助学生更好地学习。

分数加法法则与乘法法则的辨析——以两个算式的比较分析为例

文章在梳理小学阶段分数概念的基础上,对分数的加法和乘法运算法则进行比较,既有由浅入深合乎情理的认识,也有严密精准合乎逻辑的推理,使学生真正理解整数乘法可以看作是特殊的整数加法,但分数乘法并不是分数加法的特殊情况,分数加法和分数乘法有各自不同的运算法则.然后,结合分数的公理化定义,对分数加法和乘法运算法则作进一步验证.

小学数学教学对学生运算能力的培养

小学数学计算类内容的教学开展要严格以课程标准具体要求为基准,围绕三维目标设计教学,关注到学生在实际运算过程中对于算理和算法的深化,均衡配比各种算术教学内容,结合多元化的练习形式来实现学生数学运算素养的提升。

“增乘开方法”与“立成释锁”的关系研究

在一种算法的发展应遵循由繁到简的原则假设下 ,以立成释锁方法的算法为基础 ,比较了立成释锁、增乘开方与九章开方 .以立成释锁和增乘开方的算法及其演进过程为切入点 ,探讨了二者之间的关系 。

小学数学教学中的算理结构分析及教学措施

算理是学生进行计算的基础,所以说教师在进行小学数学的教学时,应该重点带领学生进行算理的认知,以此来对其结构性进行全面的分析,从而为今后的数学计算奠定良好的基础。因此,教师在进行小学数学的计算教学时,应该鼓励学生在学习的过程中完成知识的建构,只有学生真正的身临其境,才会对算理进行更深层次的理解,并且在计算时将其进行正确的运用,从而提高计算的正确率。本文从算理的认知、算理结构的分析、算理教学的措施这三个方面入手,阐述了小学数学教学中的算理结构分析及教学措施。

小学数学计算教学算理的结构分析及教学策略

想要使学生的计算能力得到培养,最佳时期便是小学阶段,而在这个阶段教学数学,教师需要引导学生解决数理问题、对算法进行构造,并且对算法进行有效理解,借由此种方式来提升学生的数学水平。本文将结合一些相关的资料,来试着分析一下小学数学计算教学算理的结构分析及教学策略。

Prediction of Injection-Production Ratio with BP Neural Network

Injection of water to enhance oil production is commonplace, and improvements in understanding the process are economically important. This study examines predictive models of the injection-to-production ratio. Firstly, the error between the fitting and actual injection-production ratio is calculated with such methods as the injection-production ratio and water-oil ratio method, the material balance method, the multiple regression method, the gray theory GM (1,1) model and the back-propogation (BP) neural network method by computer applications in this paper. The relative average errors calculated are respectively 1.67%, 1.08%, 19.2%, 1.38% and 0.88%. Secondly, the reasons for the errors from different prediction methods are analyzed theoretically, indicating that the prediction precision of the BP neural network method is high, and that it has a better self-adaptability, so that it can reflect the internal relationship between the injection-production ratio and the influencing factors. Therefore, the BP neural network method is suitable to the prediction of injection-production ratio.

A two-stage flexible flow-shop scheduling problem with m identical parallel machines on one stage and a batch processor on the other stage

This paper considers a hybrid two-stage flow-shop scheduling problem with m identical parallel machines on one stage and a batch processor on the other stage. The processing time of job Jj on any of m identical parallel machines is aj≡a （j∈N）, and the processing time of job Jj is bj（j∈N） on a batch processorM. We take makespan （Cmax） as our minimization objective. In this paper, for the problem of FSMP-BI （m identical parallel machines on the first stage and a batch processor on the second stage）, based on the algorithm given by Sung and Choung for the problem of 1 ｜ri, BI｜Cmax under the constraint of the given processing sequence, we develop an optimal dynamic programming Algorithm H1 for it in max {O（nlogn）, O（nB）} time. A max {O（nlogn） , O（nB）}time symmetric Algorithm H2 is given then for the problem of BI-FSMP （a batch processor on the first stage and m identical parallel machines on the second stage）.

Quantitative analysis of Boehm' s GC

The term garbage collection describes the automated process of finding previously allocated memorythatis no longer in use in order to make the memory available to satisfy subsequent allocation requests. Wehave reviewed existing papers and implementations of GC, and especially analyzed Boehm' s C codes, which isa real-time mark-sweep GC running under Linux and ANSI C standard. In this paper, we will quantitatively an-alyze the performance of different configurations of Boehm' s collector subjected to different workloads. Reportedmeasurements demonstrate that a refined garbage collector is a viable alternative to traditional explicit memorymanagement techniques, even for low-level languages. It is more a trade-off for certain system than an all-or-nothing proposition.

Theoretical Calculation and Analysis of Slip and Deformation for Concrete Sandwich Panels

Slip and deformation of concrete sandwich panels under uniformly distributed loads is concerned. The effect of slip on the deformation of concrete sandwich panels are studied,and the analytical expressions of slip and deformation for concrete sandwich panels is obtained. These formulae can describe the slip distribution and account for its effect on deformation. In order to restrict the bound of formula, the formula of crack moment is obtained. The results of theoretical calculation are compared with those of tests and finite element methods. The comparison shows that the results of theoretical calculation are in accord with those of tests and finite element methods. So the theoretical calculation can be used to calculate slip and deformation of concrete sandwich panels in practical projects.

The Spectrum of Positive Operators on Hilbert Lattices

Some spectral characterizations of positive operators on Hilbert lattices are presented. The application of these results can yield some equivalent relations of an irreducible positive operator. Some related results for positive operators on Hilbert lattice are also obtained.

Reliability analysis of a composite laminate using estimation theory

Composite laminates are made up of composite single-plies sequence. The plies generally have the same fiber and resin and their difference in fiber orientation results in a difference in various laminates' strength. Tsai-Hill failure criterion as a limiting state function to analyze structural reliability of a composite laminate and estimation theory in order to estimate statistical parameters of effective stress were utilized to construct probability box. Finally, we used the Monte Carlo simulation and FERUM software to calculate the upper and lower bounds of probability of failure.

A new method determining safe thickness of karst cave roof under pile tip

Cave roofs are used to support pile foundation in many engineering projects. Accurate stability analysis method of cave roof under pile tip is important in order to ensure the safety of the pile foundation structure. Firstly the mechanical model to analysis the stability of cave roof under pile tip is founded aiming to solve the problems that the simplified mechanical model has. Secondly, the boundary of cave roof is simply supposed to be supported according to the integrity of the rock mass in the boundary of cave roof. Thirdly, based on the theory of plates and shells, the simplified model is calculated and the theoretical calculation formula to determine the safe thickness of cave roof under pile tip can be obtained when the edges of the cave roof are simply supported. In the end, the analysis of the practical engineering project proves the feasibility and the rationality of the method which can be a new method to calculate the safe thickness of cave roof under pile tip.

Correlation analysis-based image segmentation approach for automatic agriculture vehicle

It is important to segment image correctly to extract guidance information for automatic agriculture vehicle. If we can make the computer know where the crops are, we can extract the guidance line easily. Images were divided into some rec-tangle small windows, then a pair of 1-D arrays was constructed in each small windows. The correlation coefficients of every small window constructed the features to segment images. The results showed that correlation analysis is a potential approach for processing complex farmland for guidance system, and more correlation analysis methods must be researched.

Decomposition in blocks at the level of wavelet coefficients and T（1 ） theorem on Hardy space

This paper deals with the establishment of \%T(1)\% theorem on Hardy space \%H 1\% under condition of weak regularity. An operator or a function is identified on the basis of their wavelet coefficients which are regrouped on some blocks. The actions of each block operator (pseudo\|annular operator) on each block function (atom) are exactly analyzed to establish \%T(1)\% theorem on Hardy space.

Agents and Lattice-valued Logic

In fuzzy set theory, instead of the underlying membership set being a two-valued set it is a multi-valued set that generally has the structure of a lattice L with a minimal element O and the maximal element I. Furthermore if ∧, ∨, → and ┐ are defined in the set L, then we can use these operations to define, as in the ordinary set theory, operations on fuzzy subsets. In this paper we give a model of the Lattice-Valued Logic with set of agents. Any agents know the logic value of a sentence p. The logic value is compatible with all of the accessible conceptual models or worlds of p inside the agent. Agent can be rational or irrational in the use of the logic operation. Every agent of n agents can have the same set of conceptual models for p and know the same logic for p in this case the agents form a consistent group of agents. When agents have different conceptual models for p, different subgroup of agents know different logic value for p. In this case the n agents are inconsistent in the expression of the logic value for p. The valuation structure of set of agents can be used as a semantic model for the Lattice-valued Logic and fuzzy logic.

Normal families related to shared sets

We studied the normality criterion for families of meromorphic functions related to shared sets. Let F be a family of meromorphic functions on the unit disc △, a and b be distinct non-zero values, S={a,b}, and k be a positive integer. If for every f∈ F, i） the zeros of f（z） have a multiplicity of at least k＋ 1, and ii） E^-f（k）（S） lohtain in E^-f（S）, then F is normal on .4. At the same time, the corresponding results of normal function are also proved.

Research and Application of Computer Management of the Test Chemical Products Quality Analysis

According to the regulations of the People＇s Republic of China national standard as the basis, on the part of chemical industry product quality inspection and analysis of the implementation of computer management has developed a set of software applications, the software in chemical products quality inspection and analysis of the means of management is an innovation. The software functions, can automatically process data, judge the product grade, quality analysis, objective and fair, convenient, fast, accurate, stable, practical, and easy to popularize.