Windows into Elementary Mathematics:Alternate public images of mathematics and mathematicians

Research on students’ (and teachers’) images of mathematics and mathematicians reveals a number of stereotypical images, most of which are negative. In this paper we present an overview of some these images and stereotypes and consider the questions: (1) how might the image of mathematics and mathematicians be a problem in mathematics education, and (2) what can be done to remedy the situation? Also, we consider an outreach project called Windows into Elementary Mathematics. In this project mathematicians are interviewed about their perspectives on elementary mathematics topics and their interviews are videotaped and are posted online, along with supporting images and interactive content. In this context we consider the questions: (3) what is the Windows project about, and (4) how might it offer an alternate (and perhaps better) image of mathematics and mathematicians? Lastly, we share an example where activities from the project were used in a math-for-teachers course.

The image of the Hungarian and UK building industries : a comparative analysis

Concern that poor image of UK construction industry is restricting recruitment has lead to call for action. This paper gives the results of a recent comparative analysis of the image of both UK and Hungarian industries which indicates the UK image to be relatively good. The perceived cause of Hungarian problems is the poor level of organisation and management.

Drops That Open Worlds : Image of Water in the Poetry of Euphrase Kezilahabi

Euphrase Kezilahabi on tansanialainen kirjailija, joka ensimmäisenä julkaisi swahilinkielisen vapaalla mitalla kirjoitetun runokokoelman. Perinteisessä swahilirunoudessa tiukat muotosäännöt ovat tärkeitä, ja teos synnytti kiivasta keskustelua. Runoteokset Kichomi ( Viilto , Kipu , 1974) ja Karibu Ndani ( Tervetuloa sisään , 1988) sekä Kezilahabin muu tuotanto voidaan nähdä uuden sukupolven taiteena. Kezilahabi on arvostettu runoilija, mutta hänen runojaan ei aiemmin ole käännetty englanniksi (yksittäisiä säkeitä lukuunottamatta), eikä juurikaan tutkittu yksityiskohtaisesti. Yleiskuvaan pyrkivissä lausunnoissa Kezilahabin runouden on hyvin usein määritelty olevan poliittista. Monet Kezilahabin runoista ottavatkin kantaa yhteiskunnallisiin kysymyksiin, mutta niiden pohdinta on kuitenkin runoissa vain yksi taso. Sen lisäksi Kezilahabin lyriikassa on paljon muuta ennen kartoittamatonta tämä tutkimus keskittyy veden kuvaan (the image of water). Kezilahabi vietti lapsuutensa saarella Victoria-järven keskellä, ja hänen vesikuvastonsa on rikasta. Tutkimuskysymyksenä on, mitä veden kuva runoteoksissa Kichomi ja Karibu Ndani esittää. Runojen analysoinnissa ja tulkinnassa on tarkasteltu myös sitä, miten äänteellinen taso osallistuu kuvien luomiseen. Tutkimuksen määritelmä kuvasta pohjautuu osittain Hugh Kennerin näkemykseen, jonka mukaan oleellista kuvassa on kirjaimellinen taso. Kennerin lähtökohtaan on yhdistetty John Shoptawin teoriaa, joka korostaa runon äänteellisen puolen tärkeyttä merkityksen muodostumisessa. Foneemien analyysissä vaikutteena on ollut Reuven Tsurin teoria. Analyysiosio osoittaa, että veden kuva edustaa ja käsittelee teoksissa lukuisia teemoja: elämää, kuolemaa, fyysistä vetovoimaa, runoutta, mielikuvitusta ja (ali)tajuntaa sekä moraalia. Veden kuvan tutkimuksen pohjalta on nähtävissä, että Kezilahabin filosofia asettuu elävä/kuollut- ja elämä/kuolema dikotomioiden ulkopuolelle.

低能He~(2+)入射He原子转移电离实验中出射电子成像研究；Momentum image of emission electrons in transfer ionization process of slow He~(2+) colliding on He

利用反应显微谱仪对70keV He2+-He转移电离过程中的出射电子进行了成像,研究了出射电子的空间速度分布特征.结果表明:电子主要集中在散射平面内;在散射平面内,电子速度分布介于零与入射离子速度Vp之间(即前向出射)且在散射离子和靶核核间轴处有一极小值,呈现出典型的双峰结构.出射电子的上述分布特征可由出射电子波函数σ振幅和π振幅的干涉进行定性解释,σ振幅和π振幅对出射电子波函数的贡献与碰撞参数相关.在小碰撞参数下,π振幅的贡献更加明显;而在大碰撞参数下,σ振幅的贡献更加显著.

Structure image of single crystal of polyethylene

High-resolution electron macroscopic images of lamellar single crystal of polyethylene (PE) have been successfully obtained using high-resolution electron microscopy (HREM), although so far the feasibility of obtaining HREM images from such a radiation sensitive polymer is still drastically questioned. The HREM images with a clear two-dimensional periodic structure reported here were recorded in a transmission electron microscope operated at 200 kV. The images consisted of lattice fringes derived from the <001> zone, and the structure images of different lattice fringes were resolved. To our knowledge, this is the first time that such clear structure images of PE have been reported at a molecular level.

STM image of tungstosilicic acid molecular layer on highly oriented pyrolytic graphite

Molecular layer of tungstosilicic acid (H4SiW12O40) deposited on freshly-cleaved highly oriented pyrolytic graphite (HOPG) was observed by scanning tunneling microscopy (STM) in air at room temperature. The molecular dimension (11.5 Angstrom) of H4SiW12O40 measured by STM is consistent with known crystallographic parameter. We also imaged the boundary of H4SiW12O40 molecular layer on HOPG showing that molecular layer of H4SiW12O40 was formed. It has been proved that individual tungstosilicic acid species is imaged. The probable reason for the formation of the molecular layer is also discussed.

IN-SITU SCANNING-TUNNELING-MICROSCOPY IMAGE OF A HIGHLY ORIENTED PYROLYTIC-GRAPHITE ELECTRODE MODIFIED WITH POTASSIUM BIS(11-MOLYBDOSILICATO) DYSPROSATE(III) IN SODIUM-SULFATE SOLUTION

The variation in molecule adsorption mode on pretreated highly oriented pyrolytic graphite electrodes, modified with the title complex K10H3[Dy(SiMo11O39)(2)] by cyclic voltammetry in the title complex solution, was observed in situ by electrochemical scanning tunnelling microscopy (ECSTM) with molecular resolution in sodium sulphate solution. According to the ECSTM images and the known molecular structure we conclude that the adsorption mode of the title complex modified electrode changed during potential cycling from ''vertical'' to ''inclined'' and then ''horizontal'' or ''flat'' mode, i.e. the title complex adsorbed on the surface of electrode by one ligand of the complex at first, then began to incline and was finally adsorbed by two ligands of the complex. This result indicates that the adsorption mode on the modified electrode surface changed during potential cycling in the sulphate solution and a much more stable molecular layer was formed. The change in adlattice of adsorbates on the modified electrode surface from hexagonal to rectangular was also observed by ECSTM. A plausible model was given to explain this process.

Depth inversion in coastal water based on SAR image of waves

Wave-number spectrum technique is proposed to retrieve coastal water depths by means of Synthetic Aperture Radar (SAR) image of waves. Based on the general dispersion relation of ocean waves, the wavelength changes of a surface wave over varying water depths can be derived from SAR. Approaching the analysis of SAR images of waves and using the general dispersion relation of ocean waves, this indirect technique of remote sensing bathymetry has been applied to a coastal region of Xiapu in Fujian Province, China. Results show that this technique is suitable for the coastal waters especially for the near-shore regions with variable water depths.

Drawing the net: internet identification, internet use, and the image of internet users

Theory and research suggest that Internet identification may account for some of the gender divide in Internet use. Internet identification is a type of domain identification, and is inherently bound with images of those who use the Internet, a domain traditionally conceived as masculine. Combining the “draw an Internet user” test with an Internet identification scale, this study tests two hypotheses: participants drawing gender-concordant images will (i) identify with and (ii) use the Internet more than those drawing gender-discordant images. Participants were 371 students (121 males, 250 females) from three universities in the United Kingdom and Australia. The need to challenge masculinized images of the Internet is discussed.