Bodmas action!
Purpose of the Research:\r 1) To determine whether a poor understanding and inability of Grade 7 and 8 learners to apply the BODMAS principle in mathematics, influences scores obtained in a mathematics test.\r 2) To determine whether scores obtained in the given mathematics test can be improved with a BODMAS learning tool.\r Procedures:\r 1. Get the educators opinion on mathematics in schools. Send a total of 50 questionnaires to four schools.\r 2. Determine what percentage of a mathematical test/examination requires the application of BODMAS\r 3. Do a pre-test at two schools, a total of 370 grade 7 and 8 learners.\r 4. Design a BODMAS learning tool and verify it with three educators.\r 5. Implement the tool at the two schools.\r 6. Do a post-test at the two schools.\r 7. Get all the educators who were at the implementation session to evaluate the session.\r 8. Investigate two other schools, by sending 270 pre-tests to those two schools, to determine whether applying the BODMAS principle correctly is also a problem for learners in those schools.\r 9. Implement the BODMAS learning tool into the intermediate phase syllabus.\r Data:\r 1. Of the 41 educators in the sample, 52% think the standard of maths in their schools is average.\r 2. 38.9% of a grade 8 mathematics examination paper and 46% of grade 8 mathematics tests contains questions that are BODMAS related.\r 3. The learners achieved an overall average of 22.57% in the pre-test\r 4. The educators evaluated the BODMAS learning tool as very good as it is.\r 5. Learners and educators enjoyed the implementation session of the BODMAS learning tool.\r 6. In the post test learners did much better, the overall average increased by 21.00% to 43.57%.\r 7. Educators were positive about the way in which the tool was explained.\r 8. The learners in the other two schools also struggled with applying the BODMAS principle.\r 9. A second pilot study is being done in four primary schools by the Department of Education for the implementation in the Free State mathematics 2013 syllabus. \r Conclusion:\r My hypothesis is supported. \r 1) A poor understanding and inability of Grade 7 and 8 learners to apply the BODMAS principle in mathematics, influenced scores obtained in a mathematics test.\r 2) Scores obtained in the given mathematics test were improved with a BODMAS learning tool.
利用奈米色料製作彩色蠶繭之研究
由於奈米科技進步,奈米材料應用在產業上具有多功能的性質。本研究使用不同波美度的色料餵食家蠶,以找出最佳的彩色蠶繭色澤,並研究其如何影響家蠶所結出的蠶繭及色料附著在蠶繭上的絲。同時對色料附著的蠶繭進行水洗、光照、微結構的觀察,以試圖找出色料與波美度之最佳組合參數。由本實驗結果得知,利用奈米色料溶液60 ml,在紅色:1.048、藍:1.058、黃:1.039 的參數下,混合飼料30g,可獲得最佳的彩色蠶繭結繭成功率、均勻度較佳、耐褪色與耐洗滌等優點,並且可獲得表面結構光滑且較細的絲徑,約為19.87μm。相對的,一般色料粒徑為微米級,色彩度優於奈米色料,但表面結構較奈米色料粗糙且線徑較粗,約為21.51μm,易於褪色及不耐洗滌。 Because of the great progress of nano-technology, it has the quality of multi-functions to make use of nano-materials on industrial property. The purpose of this study is to find the best colored silkworm cocoons by mixing different consistency of pigments to feed silkworms. At the same time, this study wished to explore how the different consistency of pigments influenced the silkworm cocoons that the silkworms produced. Besides, in order to find the better association between pigments and Baume degrees, this study exposed the cocoons under different lights, washed with different detergents and take observations of micro-structure of the cocoons. The results of this study are as follows: using the nano-pigments 60 ml in different density, that is, red:1.048, blue:1.058, and yellow:1.039, then mixed them with silkworms’ forage 30g , in this way, best successful ratio to get colored cocoons, desired high visual effects in color, well distribution, long duration and strong resistance to detergents agents are obtained. In addition, we can still get glossy appearance and fine cocoons; the wire diameter is about the size of 19.87μm. On contrast, feeding with the ordinary pigments, the degree of colored silk is better than feeding with the nano-pigments, but the appearance of cocoons are rough and the wire diameter is about the size of 21.51μm.
六圓定理
在實驗中學2007 年校內科展,參展作品《三角形中的切圓》的研究中,研究三角形內的切圓時,發現連續切圓的圓心與拋物線的軌跡有關。於是去查資料,在偶然的情況下,翻閱《平面幾何中的小花》時,接觸了「六圓定理」。因為覺得這問題非常有趣,於是便著手證明(見報告內文)。 又發現,當移動六個圓中的起始圓時,總是在某種情況下,六個圓會重合成三個圓。繼續研究其重合的狀況,發現了馬爾法蒂問題(Malfatti's Problem)的一種代數解法。 當我試著推廣六圓定理至多邊形時,發現奇數邊的多邊形似乎也有如六圓定理般圓循環的狀況,於是著手證明,但目前尚未證明成功。而偶數邊的多邊形則無類似的結果。 ;In 2007 National Experimental High School Science Exhibition, one of the exhibit works, "Inscribed Circles in Triangles", shows that the centers of the consecutive inscribed circles has something to do with the parabola's trajectory. To learn more about inscribed circles and parabolas, I referred to literature. By accident, I am faced with the problem on six circles theorem, in the book The Small Flower of Plane Geometry(平面幾何中的小花). Out of my interest in this problem, I tried to prove it. The other results are as follows: With the initial circle of six circles moved, in certain circumstances, the six circles merge into three. Further in studying this coincidence leads to an algebraic method to solve the Malfatti's Problem. Applying six circles theorem to the odd-number-sided polygons exists the same characteristic. It indicates that the inscribed circles will form a cycle. However, it hasn’t been successfully proven. The even-number-sided polygons show no similar results.
Pleistocene mammals of a river basin of Adycha
The paper represents the results of study of remains of mammalians which inhabited the Adycha-River basin (Verkhoyansky Region) during the Pleistocene Epoch. All studied materials belong to the Museum of Paleontology and Ethnography of the Adychinskaya Secondary School. For a long time, People have been finding ancient animal bones on the Adycha-River banks, and since 1955, the teacher, Bozhedonov Nikolai Gerasimovich, has been organizing exploring local lore expeditions for school children purposed for mammoth fauna investigation and material collection for the school museum. In this research collected material was classified, measurements of the Pleistocene Period animal bones were made. On the basis of it we came to conclusion that during the Pleistocene Epoch, very rare species of animals inhabited the Adycha-River basin. To our opinion, the Adycha-River basin is a unique site for research activity. Comparative measurements of the Pleistocene Periods animal bones were made. Of flu work we know measurements of the Early and Middle Pleistocene Period elephant’s bones which inhabited the Adycha-River basin. Elephants inhabited with mammoth. To our opinion, they didn’t yield to size to mammoth. In that time the Adycha-River basin, was been inhabited by camelopard, bison and Soergelia.\r Museum has 2 skull’s fragments and ovibos fronts part of horny stream. Geological age which is Early Pleistocene or late Pleistocene. These bones concern to Praeovibos. Distance between horns is more 100 mm. If we compare with ovibos skull of the Late Pleistocene we see that distance between horns is longer for the 10 time. We couldn’t found such comparisons at scientist’s works. It results that the more distance between horns is longer the more ancient, and skull’s sizes are much less.\r 7-8 km lower of Betenkes, in disclosing “?????? ???????” and sand bank “??????”, was been founded 3 crag’s part of skull of Soergelia, metacarpal bone and 2 skull’s fragments with horns part. On the Adycha-River basin was bun founded above all quantity of soergelias remains.\r In the Pleistocene Period inhabited a lot of horses. Which remains he have now. Our horse’s height in crest is from 142 to 156 sm. And what about of horses of the Early Pleistocene, it is more than 230 sm.\r Molar teeth of the Early Pleistocene Epoch horse are more for the 2.5 times than of contemporaneous analog.
Mechanism of the subcellular localization of the actin binding protein adducin
Adducin蛋白在細胞骨架的調節上扮演著重要的角色。然而,近來有許多研究指出,骨架蛋白也會出現在細胞核並參與轉錄調控,因此本研究的目的即在探討adducin蛋白是否會進入細胞核中,並參與轉錄調控或具有其他功能。在本研究中,我們將綠色螢光蛋白(GFP)標示的adducin質體DNA,利用轉染技術送入老鼠纖維母細胞株NIH3T3中表現。NIH3T3細胞原本並無adducin蛋白的表現,在共軛焦顯微鏡下觀察,野生型的GFP-adducin蛋白會表現於細胞核與細胞質中。由於adducin蛋白尾端序列攜有可能往核內運輸的訊號,於是將位在此一訊號中的離胺酸718及離胺酸719進行突變,結果發現此一突變株只能在細胞質中表現。此外,蛋白磷酸脢C(protein kinase C)已知能磷酸化adducin蛋白在絲胺酸716及絲胺酸726的位置,於是假設其磷酸化是否與其在細胞內的分布有關。將adducin的絲胺酸726置換成丙胺酸,並不影響其在細胞內的分布。然而將絲胺酸716置換成丙胺酸後,則完全只在細胞核中表現。由於adducin可分布於細胞核,因此我們懷疑adducin蛋白可能與細胞分裂有關,於是本研究利用流式細胞儀分析adducin轉染後NIH3T3細胞的細胞週期。流式細胞儀的分析結果顯示,攜有GFP-adducin或其突變株的細胞與未經轉染的NIH3T3細胞的細胞週期並沒有顯著差異。其次,為了避免因轉染的效率不高而造成統計上的誤差,我們利用顯微鏡追蹤技術觀察攜有GFP-adducin的細胞株,結果顯示攜有adducin突變株的NIH3T3細胞株仍能正常分裂。再者,因為adducin能與細胞骨架中的肌動蛋白結合,所以adducin不同的分布位置可能影響細胞附著與細胞展延的效率。細胞展延試驗的結果顯示,adducin及其突變株對細胞附著與細胞展延的效率並無明顯的影響。本研究的結果證明,adducin的確帶有往核內運輸的訊號,其在細胞質中的分布可能也同時受到絲胺酸716磷酸化的影響。然而adducin的功用似乎與纖維母細胞的分裂與展延無明顯的關聯性。Adducin, an actin binding protein, is known to play an important role in the regulation of the membrane cortical cytoskeleton. More and more evidence indicates that proteins involved in the cytoskeletal regulation could also reside in the nucleus and participate in gene regulation. Thus, the goal of this study is to examine whether adducin is expressed in the nucleus and involved in certain nuclear events. In this study, adducin and its various mutants were fused with green fluorescent protein (GFP) and transfected into mouse NIH3T3 fibroblasts which do not have endogenous adducin for monitoring their subcellular distribution under a laser scanning confocal microscope. The wild-type GFP-adducin was found to be present both in the nucleus and in the cytoplasm. The COOH-tail of adducin contains a motif analogous to the nuclear localization signal (NLS). Mutation of two lysine residues (lysine 718 and lysine 719) located within this motif abolished the nuclear localization of adducin. Moreover, adducin is known to be phosphorylated by protein kinase C at serine 716 and 726. Substitution of adducin serine 726 with alanine had no effect on its subcellular localization. In contrast, substitution of adducin serine 716 with alanine led to only nuclear expression. Nuclear localization of adducin renders it possible that adducin may be involved in the regulation of cell division cycle. For cell cycle analysis, flow cytometry was applied. The results of flow cytometry indicated that expression of adducin and its mutants in NIH3T3 fibroblasts did not affect their cell cycle progression. To further examine the effect of adducin on cell division, NIH3T3 cells transiently transfected by adducin were monitored by time lapse video microscopy. The video clearly showed that the cells with GFP-adducin underwent cell division to generate two daughter cells. Since adducin is well known to bind to actin and thereby regulate microfilaments, we wondered that expression of adducin in NIH3T3 cells might affect their adhesion and spreading onto extracellular matrix proteins. The results of cell spreading assays showed that adducin appeared not to affect cell spreading. In conclusion, our results demonstrate that the subcellular distribution of adducin is likely regulated by two signals, one is the nuclear localization signal and the other is the phosphorylation status of the serine 716. However, enforced expression of exogenous adducin in fibroblasts such as NIH3T3 cells does not alter their cell cycle or cell spreading on fibronectin.
AtbZIPs 轉錄因子及其下游基因啟動子的特定序列之研究
Arabidopsis thaliana bZIPs(AtbZIPs)是一群影響層面相當廣泛的轉錄因子,一半以上的 AtbZIPs 基因表現受到光的調控,且近九成的分子機制尚未明瞭,因此探討 AtbZIPs 在植物光調控機制中所扮演的角色將是個有趣的課題。AtbZIP16 與 AtbZIP17 皆被推測會參與光的調控機制,然而迄今少有文獻針對這二個轉錄因子進行更多的研究。因此,我們想藉由細菌單雜合系統(Bacterial one hybrid system)的方法,找出能與 AtbZIP16 與 AtbZIP17轉錄因子結合的 DNA 序列,以瞭解此二轉錄因子調節下游基因表現的分子機制,並探討其在光訊息傳導途徑中所扮演的角色。針對 AtbZIP16 與 AtbZIP17,本實驗分別找到了 7 與10 種可能的結合序列。首先,經由資料庫比對分析,我們發現其序列上帶有的 motifs 功能,主要參與在光調控、環境逆境反應機制、組織發育、賀爾蒙調節、病原菌防禦、鈣離子訊息傳遞等方面,其中又以光調控佔最大的比例。再者,藉由將 motifs 的功能繪製成文氏圖,並與 HY5 (AtbZIP56)做比較,結果顯示,這三個轉錄因子雖同屬於 AtbZIP family,據推測皆受到光的調控,可能參與某些相似的生理調節過程,但都各自具備不同的功能,影響植物體的發育。如此的差異,表示他們有實質上的不同,值得我們更深入的研究。整體而言,本實驗結果除了說明 AtbZIPs 的功能確實廣泛之外,也顯示AtbZIP16 與AtbZIP17 是執行光訊號傳導很重要的調控因子。Arabidopsis thaliana bZIPs (AtbZIPs) is a group of transcription factors affecting a wide range of responses in Arabidopsis. The expression of more than half of the AtbZIPs is regulated by light, and the molecular mechanism for roughly 90% of these AtbZIPs remains unknown. Therefore, the roles AtbZIPs play in Arabidopsis light signal transduction is an interesting topic to pursue. AtbZIP16 and AtbZIP17 have been suggested to participate in the regulation mechanism mediated by light. However, only limited studies for these two transcription factors have been previously performed. For this reason, we intended to determine the DNA-binding sequences for AtbZIP16 and AtbZIP17 via the bacterial one hybrid system to reveal their target binding sites in the promoter region of their downstream genes and to speculate their possible biological function especially in light signal transduction pathway. We have identified 7 and 10 possible recognition sequences for AtbZIP16 and AtbZIP17, respectively. Using motif-finding programs analyses, we found the motifs identified are mainly involved in light and stress signaling, tissue development, hormone regulation, pathogen defense and Ca2+ signaling. Among these regulation pathways, sequences involved in light regulation owns the highest proportion. Furthermore, a Venn diagram was generated to compare functions of genes regulated by AtbZIP16, AtbZIP17 and HY5. Results revealed that, although these three transcription factors all belong to the AtbZIP family and are predicted to be regulated by some similar physiological regulation process (e.g. light), they still possess distict biological functions in plant development. Further studies are thus required to put these transcription factors into their shared and unique biological context. Taken together, the results of this experiment not only indicated light is a key regulation factor for AtbZIP16 and AtbZIP17, but also showed the function of AtbZIPs could be diverse.
排印OnLine-PHP 在文字圖形的應用
從小習染之餘,對篆刻藝術的濃厚興趣及對電腦程式之熱愛,萌生將篆刻藝術與電腦 科技結合,於是應用PHP(Professional Home Page)的文字圖形(Text Image)處理功能 將中華文化之篆刻藝術透過網際網路推廣到世界各角落。本研究規劃建置了一個 FreeBSD Server 可完善處理PHP 功能的作業平台、應用PHP 的文字圖形處理功能,編 寫可在線上DIY 設計印章的程式,以及藉由Java Script 的技術在Client 端建立一個人 性化且相容性高之使用者界面網頁,達到提供多語系、多功能、依使用者偏好作調整 印章及輸出分享的功能。為使非漢語系國家能深刻體驗中華篆刻藝術,本研究同時建 立一個超過三萬筆之由英文名音譯中文名的資料庫,提供給使用者切身的服務。 Inspired by the interest of the art of seal engraving and the love for the computer programming beginning from my childhood, I combine the art of seal engraving and computer technology, and apply the Text-Image's function of PHP to promote the seal-engraving art of Chinese culture via the Internet to everywhere around the world. This project constructs a FreeBSD Server to process PHP platform perfectly, applies the Text-Image's function of PHP to write a program for online DIY pattern design, and uses Java Script to establish a human and compatible user-interface web page for clients to provide multi-language, multi-function, and being able to adjust pattern according to the user's preference and output sharing functions. This project also sets up a database of English-Chinese translation of over thirty thousand English terms to help people who are not Chinese to experience the art of seal engraving.