Developing Meaning for Algebraic Symbols: Possibilities and Pitfalls

2008 ◽  
Vol 13 (8) ◽  
pp. 478-483
Author(s):  
John K. Lannin ◽  
Brian E. Townsend ◽  
Nathan Armer ◽  
Savanna Green ◽  
Jessica Schneider

An important goal of school mathematics involves helping students use the powerful forms of representation that have been developed over the centuries through the work of mathematicians throughout the world. However, challenges exist in encouraging students to develop meaning for the mathematical symbols used in formal algebra. Research has demonstrated that students often fail to develop a deep understanding of the meaning of symbolic representations of variables (e.g., Booth 1984; Clement 1982), so much so that Thompson (1994) found that a limited understanding of the meaning of variables negatively impacts students who later take college calculus. The question arises as to how we can develop meaning for formal algebraic symbols in the middle grades so that instruction can build on this meaning throughout students' high school and college experiences.

2019 ◽  
Vol 1 (1) ◽  
pp. 15-21
Author(s):  
Rada Puspita ◽  
Haves Ashan ◽  
Fidiariani Sjaaf

Vision impairment is estimated to affect 285 million people in the world, where 16-20% experience blindness, from the number of blindness suffered at the age of 40-50 years. Cataract seninis is all lens opacities that are found in old age that is above 40 years. The purpose of identifying and collecting frequency data Profile of Senilis cataract patients at the age of 40 years and above at RSI Siti Rahmah Padang in 2017. The research method is descriptive type of research, this study data taken is secondary data, In this study data was taken from the Medical Record at RSI Siti Rahmah Padang. When the study was conducted in February-August 2018, the population of this study were all cataract patients at the age of 40 years and above at RSI Siti Rahmah Padang in 2017 with 80 samples. Data analysis is univariate presented in the form of a frequency distribution table. Results From 80 respondents as many as 40 people (50%) were in the age range of 60-69 years, as many as 42 people (52.5%) patients were male, as many as 31 people (38.8%) patients with high school education and 35 people (43.8%) patients work as private companies. Conclusion In general, most patients are at the age of 60-69 years, the most sex is men, the highest education is high school and most patients are private.


2016 ◽  
Vol 2 (3) ◽  
pp. 528
Author(s):  
Ako Abubakr Jaffar ◽  
Mazen Ismaeel Ghareb ◽  
Karzan Hussein Sharif

The Retailers all over the world are prospering from the burgeoning trend of online shopping. Kurdistan Regional Government is still struggling to grow its e-commerce markets. On the other hands e-commerce in Various countries in the Middle East have some of the world’s highest internet and mobile penetration rates. Alternative payments methods are quickly expanding, and having access to some of the world’s most coveted natural resources that allows countries in their region to have some of the highest GDP in the world. There are several challenges prevalent in the KRG Region market that will require international merchants to develop strategies based on innovation and vigilance. This unique region is plagued with complications many other countries have little to no experience with e-commerce, which highlights the need for retailers to have a deep understanding as to how this region operates before they can begin finding solutions. One of the biggest concerns today's consumers have is the risk of fraud when they are shopping online. With highly sophisticated malware and perceptive cybercriminals, customers' card and bank information can easily be stolen if a merchant does not take the proper security measures. In this paper we summarize all challenges need to be addressed in KRG in order to make correct steps to apply e-commerce in KRG. Finally, the recommendations and framework are proposed for e-commerce to encourage government, organizations, and people to take advantages from e-commerce.


Author(s):  
Thu Ngo ◽  
Len Unsworth ◽  
Michele Herrington

AbstractStudents’ difficulties interpreting diagrams remain a concern in science education. Research about improving diagram comprehension has included few studies of teachers’ orchestration of language and gesture in explaining diagrams—and very few in senior high schools. Research with younger students and studies of research scientists’ practice indicate the significance of the interaction of teachers’ gesture and language in explaining visualisations. The strategic deployment of such teacher-focussed authoritative explanations has been observed in facilitating progression to more complex and symbolic representations in classroom work. However, the paucity of such research in senior high school leaves open the question of how these teachers use gesture and language in managing the challenges of explaining the intricate sub-microscopic and abstract visualisations senior high school students need to negotiate. In this paper, we outline existing studies of teachers’ use of gesture and language to explain complex images in senior high school and investigate how it is managed by two biology teachers with images of different types and complexity representing the activity of certain cell components in the early phase of cell duplication. Implications are drawn for foci of further research including the role of a metalanguage describing different types of visualisations and their affordances.


2018 ◽  
Vol 23 (5) ◽  
pp. 1647-1656 ◽  
Author(s):  
Nevin Sanlier ◽  
Aybuke Ceyhun Sezgin ◽  
Gulsah Sahin ◽  
Emine Yassibas

Abstract As in almost every country in the world, street foods are frequently used in Turkey. To determine the preferences for these foods, a questionnaire was given to 847 individuals constituted by randomly selected high school and university students. Of the participants, 43.4% were male and 56.6% were female; the majority of them were between 19 and 22 years of age. It was found that 40.1% of the young people ate street food 2-3 times per week, whereas 23.3% were found to eat it every day. Turkish bagels, döner, boiled corn in a cup and toast are most preferred street foods. A statistically significant negative correlations were found between consumption preference scores and education, gender, and age. Although consumers know that street foods can cause contamination with microorganisms, that sellers do not pay attention to hygiene, and that these foods are raw or not cooked well, they prefer because of their cheapness, deliciousness, variety and fast service. Street foods are widely consumed in Turkish young students and because of preventing food poisoning, they should be educated about food hygiene and safety. Also, educating vendors in personal hygiene and good manufacture practice can minimize contamination risk.


Author(s):  
Simon Caney

This chapter explores the relevance of facts and empirical enquiry for the normative project of enquiring what principles of distributive justice, if any, apply at the global level. Is empirical research needed for this kind of enquiry? And if so, how? Claims about global distributive justice often rest on factual assumptions. Seven different ways in which facts about national, regional and global politics (and hence empirical research into global politics) might inform accounts of global distributive justice are examined. A deep understanding of the nature of global politics and the world economy (and thus empirical research on it) is needed: to grasp the implications of principles of global distributive justice; to evaluate such principles for their attainability and political feasibility; to assess their desirability; and, first, to conceptualize the subject-matter of global distributive justice and to formulate the questions that accounts of global distributive justice need to answer.


2005 ◽  
Vol 46 (2) ◽  
pp. 315-317
Author(s):  
Kurt Wurmli

Kazuo Ohno and Tatsumi Hijikata are recognized as the most influential creators of the contemporary Japanese dance form known today as butoh. Since its wild and avant-garde beginnings in the late 1950s, butoh has evolved into an established and appreciated art form throughout the world. Despite its popularity and strong influences on the international modern dance world, butoh only recently became an accepted subject for academic research in Japan as well as in the West. With the new opening of butoh research centers and archives—such as the Ohno Dance Studio Archives at BANK ART 1929 in Yokohama, the Kazuo Ohno Archives at Bologna University in Italy, and the Hijikata Tatsumi Archives at Keio University in Tokyo—serious scholarly attention has been given to the art of butoh's founders. However, the lack of firsthand sources by butoh artists reflecting their own work still poses great limitations for a deep understanding of the art form. Kazuo Ohno's World from Without and Within is not only the first full-length book in English about the master's life and work, but also offers a rare inside view of butoh.


2016 ◽  
Vol 5 (4) ◽  
pp. 211-216
Author(s):  
Sergey Victorovich Pupkov

The necessity of the moral education of students of high school students as an initiation to the values of which are in the teacher-written cultural and educational space. Amended scientific understanding of the concept of educational space and proved that the substantive content of the notion of cultural and educational space gets through the involvement of the term culture. The essence of cultural and educational space of the university lies in its multi-dimensionality, which is expressed in infinity broadcast through the channels of education and training culture as the experience of, the experience of spiritual and practical development of the world in the moral experience moral, value relationships according to the criterion limit it (experience) of the base (value of a person), by which the subject-object, object-subject and subject-subject relations are optional. The content of the cultural and educational space, formed the subject-object and subject-subject relationship, the relationship between them becomes dialectical by the object-subject relationship in which there are values that are axiological nucleus of activity, axiological form of culture. Determine the purpose of the subject-object and subject-subject relations as the content of the image of cultural and educational space, and on the basis of this mission revealed features of pedagogical activity of the teacher conducting the moral education of students: to provide storage, reproduction, broadcast culture as the experience of concluded (experience) in ostensive, imperative, axiological forms of culture, its forms-principles; organization of the work of students with cultural forms; student organization ascent from axiological forms of culture its forms-principles; transfer of experience of spiritual and practical development of morality in the world, the experience of behavior and activity, experience, moral, value relations.


2017 ◽  
Vol 9 (1) ◽  
pp. 6-13
Author(s):  
Douglas Amundaray

My interest in politics started during my high school years. At 13 I got hooked on the Venezuelan political scenario with the same intensity as most adults. It is not usual for a teenager to be interested in politics, but the impact of the 1998 Venezuelan presidential election was so significant, the coverage by media so widespread, that it was practically inevitable that I would become enthralled in the outcome. “How does who you are and where you stand in relation to others shape what you know about the world?” By raising this question, David Takacs (2002) introduces the importance of positionality to knowledge production. Positionality provides a way to understand how objective or subjective researchers are during knowledge production (Lave & Wenger, 1991). I can firmly say that the representations portrayed in Venezuela’s mainstream media built up my character, and shaped the analytical approach that I follow today as a scholar.


AKADEMIKA ◽  
2020 ◽  
Vol 14 (02) ◽  
Author(s):  
A'idatul Fadlilah ◽  
Moch. Bachrurrosyady Amrulloh

Pendidikan toleransi menjadi keharusan pada saat ini, khususnya di dunia pendidikan, karena melalui pendidikan inilah nilai-nilai kerukunan menjadi kokoh.sistem pendidikan agama sangat penting dan perlu ditingkatkan, sehingga yang dihasilkan sistem itu bukan orang-orang yang hanya berpengetahuan agama tetapi juga berakhlak mulia. Dengan mengadakan pendidikan agama yang membawa kepada pandangan luas dan sikap terbuka serta mementingkan dan meningkatkan di dalamnya pembinaan kerukunan antar agama diharapkan dapat terwujud dan berkembang dalam masyarakat, maka dari itu Pendidikan toleransi dibutuhkan guna menciptakan kehidupan yang indah dengan banyak perbedaan didalamnya, di SMA Semen Gresik merupakan sekolah swasta yang tidak berlatar agama namun bisa menerima siswanya dari manpun dan dari berbagai latar belakang yang berbeda pula sehingga tidak ada perbedaan diantara mereka. Permasalahan yang dikaji adalah: 1) Bagaimana proses pengembangan budaya toleransi dalam pembelajaran PAI di SMA Semen Gresik 2) Bagaimana output dari proses pengembangan budaya toleransi di SMA Semen Gresik. Hasil penelitian menunjukkan: 1) Proses pengembengan toleransi dalam pembelajaran PAI yakni dengan menggunakan sebuah pendekatan saintifik yang mana didalam pendekatan tersebut terdapat beberapa metode diantaranya pembiasaan, diskusi kelompok2) output dari proses pengembangan tolernasi dalam pembelajaran PAI diantaranya Menghargai perbedaan, menghargai kebaikan orang lain, keterbukaan, senang dan bahagia dalam berinteraksi dengan orang lain, membantu orang tanpa melihat latar belakang mereka yang berbeda, tidak diskriminatif dengan sesama, yang mana telah ada pada  diri peserta didik.Tolerance education is a necessity at this time, especially in the world of education in seeding the values of harmony. The religious education system is very important and needs to be improved, so that the resulting system is not people who only have religious knowledge but also have a noble morality.  By implementing religious education that brings a broad view and open attitude, emphasizes and increases in it, the development of interfaith harmony is expected to be realized and developed in society. Therefore tolerance education is needed to create a beautiful life littered fully with many differences in it. Senior High School (SMA) Semen Gresik is a private school that has no religious background but could accept students from anywhere and various different backgrounds so that there is no difference between them. The problems studied are: 1) How is the process of developing a culture of tolerance in SMA Semen Gresik 2) What is the output of the process of developing a culture of tolerance in SMA Semen Gresik. The results show that: 1) The process of developing tolerance in SMA Semen Gresik is by using a scientific approach with such methods as habituation and group discussion, 2) The output of the process of developing tolerance in SMA Semen Gresik includes respect for differences, respect for the kindness of others, openness, frendly and happy in interacting with other people, helping people regardless of their different backgrounds, not discriminating others.


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