An Enquiry, Whether the Differential and Integral Calculus Should Be Required in the Undergraduate English Curriculum

1955 ◽  
Vol 41 (2) ◽  
pp. 351
Author(s):  
John W. McReynolds
Author(s):  
Erda Wati Bakar

The Common European Framework of Reference for Language (CEFR) has become the standard used to describe and evaluate students’ command of a second or foreign language. It is an internationally acknowledged standard language proficiency framework which many countries have adopted such as China, Thailand, Japan and Taiwan. Malaysia Ministry of Education is aware and realise the need for the current English language curriculum to be validated as to reach the international standard as prescribed by the CEFR. The implementation of CEFR has begun at primary and secondary level since 2017 and now higher education institutions are urged to align their English Language Curriculum to CEFR as part of preparation in receiving students who have been taught using CEFR-aligned curriculum at schools by year 2022. This critical reflection article elucidates the meticulous processes that we have embarked on in re-aligning our English Language Curriculum to the standard and requirements of CEFR. The paper concludes with a remark that the alignment of the English curriculum at the university needs full support from the management in ensuring that all the stakeholders are fully prepared, informed and familiar with the framework.


2015 ◽  
Vol 1 (3) ◽  
pp. 160 ◽  
Author(s):  
Eriselda Vrapi ◽  
Xhevdet Zekaj

This study aims to explore the use of video in English language teaching (ELT) elementary school (grades 8 to 9)... In addition, the thesis aims to find out how videos in English lessons helped to achieve the goals of English curriculum. The main hypothesis was that teaching with video would develop pupils’ communicative skills and, therefore, was appropriate for the communicative approach to ELT. The study addressed five research questions regarding the use of videos in English lessons in the case study school: why the teachers used videos in ELT, what kinds of videos were used in English lessons, how and how often videos were used, what was taught and learned through the use of videos and, finally, what the teachers’ and pupils’ attitudes to lessons with videos were. The research was performed as a case study at an Elbasan elementary school. The data for the research was obtained through the use of mixed methods: qualitative, in the form of interviews with four English teachers and observations of three of the interviewed teachers’ lessons with videos, and quantitative, in the form of a pupil questionnaire answered by 105 pupils from two 8th grade and two 9th grade classes.


Author(s):  
Martini Martini

As a part of dissertaion research entitled “Developing A Model Of Business English Teaching Material For Students Of Politeknik Negeri Padang”. This article tells about the needs of Business English in workplaces from the graduate students persperctive. The information gottten can be used as inputs is designing Business English curriculum which in based on Link and Match concept between the needs of workplaces and educational institutions. A survey was done by spreading online questionnaires by using Google drive to the graduates of accounting department, who work for some companies in Indonesia. By using descriptive analysis, finding of the research obtains an overview that four language skills (speaking, listening, reading, and writing) are very impportant in business communication. It menas that they must be taught in Business English class. Next, it is also obtained that grammar, vocabulary, pronounciation, and translation are also very important to be taughy. Besides, this study can determine some business topics that are needed for Business English class.


2008 ◽  
Vol 92 (525) ◽  
pp. 396-417 ◽  
Author(s):  
Tom M. Apostol ◽  
Mamikon A. Mnatsakanian

What is the area of the shaded region between the tyre tracks of a moving bicycle such as that depicted in Figure 1 ? If the tracks are specified, and equations for them are known, the area can be calculated using integral calculus. Surprisingly, the area can be obtained more easily without calculus, regardless of the bike’s path, using a dynamic visual approach called the method of sweeping tangents that does not require equations for the curves.


Author(s):  
Kelly Cline ◽  
Holly Zullo ◽  
David A Huckaby

Abstract Common student errors and misconceptions can be addressed through the method of classroom voting, in which the instructor presents a multiple-choice question to the class, and after a few minutes for consideration and small-group discussion, each student votes on the correct answer, using a clicker or a phone. If a large number of students have voted for one particular incorrect answer, the instructor can recognize and address the issue. In order to identify multiple-choice questions that are especially effective at provoking common errors and misconceptions, we recorded the percentages of students voting for each option on each question used in 25 sections of integral calculus, taught by 7 instructors, at 4 institutions, over the course of 12 years, on a collection of 172 questions. We restricted our analysis to the 115 questions which were voted on by at least 5 different classes. We present the six questions that caused the largest percentages of students to vote for a particular incorrect answer, discuss how we used these questions in the classroom, and examine the common features of these questions. Further, we look for correlations between question characteristics and the mean percentage of students voting for common errors on these questions, and we find that questions based on general cases have higher percentages of students voting for common errors.


2014 ◽  
Vol 11 (04) ◽  
pp. 1450026 ◽  
Author(s):  
Serkan Karaçuha ◽  
Christian Lomp

Hom-connections and associated integral forms have been introduced and studied by Brzeziński as an adjoint version of the usual notion of a connection in non-commutative geometry. Given a flat hom-connection on a differential calculus (Ω, d) over an algebra A yields the integral complex which for various algebras has been shown to be isomorphic to the non-commutative de Rham complex (in the sense of Brzeziński et al. [Non-commutative integral forms and twisted multi-derivations, J. Noncommut. Geom.4 (2010) 281–312]). In this paper we shed further light on the question when the integral and the de Rham complex are isomorphic for an algebra A with a flat Hom-connection. We specialize our study to the case where an n-dimensional differential calculus can be constructed on a quantum exterior algebra over an A-bimodule. Criteria are given for free bimodules with diagonal or upper-triangular bimodule structure. Our results are illustrated for a differential calculus on a multivariate quantum polynomial algebra and for a differential calculus on Manin's quantum n-space.


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