数学认知结构在数学概念学习中的作用

数学概念的学习是一切数学知识学习和形成的基础，是一个完整数学认知结构建构的第一步．正确的教学方法可以形成学生良好的数学认知结构和较强的数学思维能力，否则，会在学生头脑中形成模糊的甚至是错误的数学观念．传统数学教学的主要缺点之一是不重视学生的心理状况，不深入了解学生的数学认知结构状况，盲目地进行机械式的教学，形成不了学生良好的数学概念系统．而看数学概念是否掌握的关键是看学生是否真正理解了所学的数学概念，即是否在数学认知结构中形成了一个稳定而清晰的固定点．1数学认知结构数学认知结构是学习者头脑中的数…     

ROBUST GLOBAL EXPONENTIAL STABILITY OF UNCERTAIN IMPULSIVE SYSTEMS

By using the quasi-Lyapunov function, some sufficient conditions of global exponential stability for impulsive systems are established, which is the basis for the following discussion. Then, by employing Riccati inequality and Hamilton-Jacobi inequality approach, some sufficient conditions of robust exponential stability for uncertain linear/nonlinear impulsive systems are derived, respectively. Finally, some examples are given to illustrate the applications of the theory.     

具P-Laplacian算子型周期边值问题解的存在性

本文利用拓扑度理论和一些分析技巧讨论了具p—Laplacian算子型周期边值问题(φp(χ’))’+d/dt gradF(χ)+gradG(χ)=e(t),χ(0)=χ(T),χ’(0)=χ’(T)解的存在性,在对阻尼项d/dtgradF(χ)没有任何限制的前提下,给出了解存在的充分条件.     

Synthesis, Crystal Structure, Fluorescent and Thermal Properties of Sodium Tridecafluorodizirconate Na_5Zr_2F_(13) Compound

1 INTRODUCTION Considerable research effort on the heavy metal fluoride glasses like barium, zirconium fluoride and a series of rare-earth fluorozirconate compounds du- ring the last two decades was initiated by the broad optical transmission window of these glasses and thereby the potential for ultralow-loss optical fi- bers[1~10]. The fluorozirconate of alkali metals was first reported in 1938[11], and most of the sodium and potassium fluorozirconates were reported amongthe 1940s and 19…     

Theoretical Studies on the Si（001）-SiO2 Interface Structure

1 INTRODUCTION Silicon and its alloy have been widely applied in such fields as electronic industry, high-temperature structural ceramics, etc. In addition, the researches on silicon and its relevant materials greatly promote the rapid development of modern optics and infor- mation technology. Therefore, more and more at- tention is focused on the structure of silicon, oxide of silicon and the interfaces between silicon and metal or nonmetal. As an ideal passive film on the Si surface, S…     

Synthesis, Crystal Structure and Electrochemical Properties of a Novel Phenothiazine Derivative

A new compound 1,1‘-bis(3-pyridyl)-propylene(3,7-diformyl-N-ethylphenothiazinyl)ketone (C30H23N3O2S, Mr = 489.4) has been synthesized, and its crystal structure was determined by single-crystal X-ray diffraction method. The crystal is of orthorhombic, space group Ima2 with a = 27.491 (5), b = 11.942(2), c = 7.389(2) A, V = 2425.8(7) A^3, Z = 8, Dc =1.340 g/cm^3,μ = 0,167 mm ^1, F(000) = 1024, the final R = 0.0363 and wR = 0.0869 for 2054 unique reflections with Rint = 0.0254. The structural determination shows that the molecule assumes a butterfly configuration with nearly planar wings. In addition, the electrochemical study indicates that there is a high electronic delocalization in the molecule.     

Hydrothermal Synthesis and Crystal Structure of a Novel Isophthalate-bridged Copper(II) Polymer with Two-dimensional Network Structure: [Cu_2(phen)(ipt)_2]_(2n)·nH_2O (ipt = isophthalate, phen = 1,10-phenanthroline)

1 INTRODUCTION donor due to the presence of the protonated carboxyl group; (d) it can form short bridges via one car- Coordination polymers are of great interest due to boxylato end or long bridges via the benzene ring[7]. their physical properties and potential applications in We believe that coordination functionality of isoph- functional materials[1~3]. Aromatic polycarboxylic acids thalate can lead to interesting structures. In this com- such as 1,2,4,5-benzenetetracarboxylic acid[4],…     

Synthesis and Crystal Structure of N-（1-Phenyl-3-methyl-4-benzal-pyrazolone-5）-furoic Hydrazide

1 INTRODUCTION In recent years, investigations on the com- pounds containing hydrazide or hydrazone moieties have been increased considerably because of their potentially biological activities, especially as poten- tial inhibitors for many enzymes[1～5]. The presence of weak molecular interactions such as hydrogen- bonding controls the conformational and structural features which are important to the drug action[6, 7]. We have synthesized the photochromic compounds of pyrazolone thiosemi…     

Crystallization and Preliminary Crystallographic Studies of Luffaculin 1,a Ribosome-inactivating Protein from the Seeds of Luffa Acutangula

1 INTRODUCTION The ribosome-inactivating proteins (RIPs) are RNA N-glycosidases[1, 2] which inactivate ribosomes by cleaving a single N–C glycosidic bond between adenine and ribose at A4324 in the 28s rRNA of rat. Because of the removal of one adenine from rRNA, elongation factorⅡ(EF-2) can not bind to the 60S subunit, so RIPs can arrest protein synthesis. RIPs can be classified into three types based on the struc- tures of genes and mature proteins[3]. Type 1 RIPs with molec…     

Synthesis and Crystal Structure of N-Phenylbis（ferrocenecarboxyl）imide

The ferrocenyl compound,N-phenylbis(ferrocenecarboxyl)imide (C28H23NO2Fe2,Mr=517.17),was synthesized and structurally characterized by means of X-ray single-crystal dif-fraction. It crystallizes in monoclinic,space group C2/c with a=21.374(14),b=10.430(7),c= 10.741(7) ,β=114.184(8)°,V=2184(2) 3,Z=4,Dc=1.573 g/cm3,F(000)=1064,μ(MoKα)= 1.355 mm–1,T=291(2) K,the final R=0.0548 and wR=0.1437 for 1524 observed reflections with I > 2σ(I). In this compound,the nitrogen atom links two ferrocenyl groups and one phenyl group forming a novel imido derivative.