• The Mathematical Education
• /
• v.48 no.1
• /
• pp.47-59
• /
• 2009

Recently our society confronts with the concern over the college students' apparent lack of understanding and interesting of mathematics. In late 1980s the calculus reform movement in US was triggered to increase both passing rates and a general interest in the subject. The purpose of this paper is to investigate teaching of college calculus and its curriculum in order to promote students' interesting and understanding. We deal with 4 questions. Firstly, we research the history and motivation of the calculus reform movement in US. Secondly, we do case study about the debate between reformed and traditional calculus. Then we evaluate the effectiveness of reformed calculus in comparison to traditional calculus. Finally we investigate possible ways to apply reformed calculus in our university mathematics education and suggest some points to improve teaching calculus.

• Research in Mathematical Education
• /
• v.6 no.2
• /
• pp.117-122
• /
• 2002

From the beginning of the 20th century, calculus is gradually offered to high school students in many countries. However, in Chinese high school, the instruction on calculus is nearly an untouched field. Many people don't believe that high school students can study calculus well. They think calculus knowledge in students' brains is likely to become the “half-cooked food”, and this can produce a bad effect on the study of formal calculus at university. The authors consider that the emphasis of calculus in high school should be the intuitive understanding of fundamental calculus concepts, and it is also the basis of the understanding of formal concepts. Traditional mathematics course with chalk can't meet the needs of calculus teaching. The use of technologies can enhance the calculus teaching, especially the informal and visual calculus teaching, help students understand the underlying concepts. The authors describe how the use of technologies can improve the calculus teaching and learning, and point out that the use of technologies can clear up people's doubts.

• The Mathematical Education
• /
• v.42 no.4
• /
• pp.523-540
• /
• 2003

The main purpose of this work is to propose programs of calculus for the department of mathematics education of teacher training universities. There is a description of the characteristics, goal and contents of calculus course for pre-service teacher, followed by principles for teaching the subject. We suggest the constituents and something being kept in mind for each part in calculus.

• Communications of Mathematical Education
• /
• v.20 no.4 s.28
• /
• pp.503-521
• /
• 2006

'Calculus for Life Science' is one of the calculus courses for students majoring life science in Seoul National University. Contrary to the other calculus courses for students in natural sciences and engineerings, in 'Calculus for life Science' we have primarily chosen computer-based curriculum that is useful to life science and so we have tried to fulfill the requirements of the students majoring life science. Like this, we are of the opinion that there are diverse requirements in life science as well as other majors in basic mathematical education of the university. Upon this view, in this research, we consider the present conditions, the points at issue and study improvements of them. In section II and III, we introduce briefly the present 'Calculus for Life Science' focused on the curriculum. In section IV, according to the course evaluations and questionnaire, we make an analysis of the present condition and the points at issue of 'Calculus for Life Science'. In section V and VI, we present the improvements of the curriculum and the several education environments.

• Research in Mathematical Education
• /
• v.13 no.2
• /
• pp.75-90
• /
• 2009

There are concepts in calculus which are difficult to teach and learn. One of these concepts is integration. However, problem posing has not yet received the attention it deserves from the mathematics education community. There is no systematic study that deals with teaching of calculus concepts by problem posing oriented teaching strategy. In this respect this study investigated the effect of problem posing on students' (prospective teachers') academic success when problem posing oriented approach is used to teach the integral concept in Calculus-II (Mathematics-II) course to first grade prospective teachers who are enrolled to the Primary Science Teaching Program of Education Faculty. The study used intervention-posttest experimental design. Quantitative research techniques were employed to gather, analyze and interpret the data. The sample comprised 79 elementary prospective science teachers. The results indicate that problem posing approach effects academic success in a positive way and at significant level.

• Journal of Engineering Education Research
• /
• v.17 no.2
• /
• pp.3-10
• /
• 2014

How to teach calculus is an important issue since Calculus is the first mathematics in college curriculum which highly influences other subjects including Physics, Engineering Mathematics like differential equations, and other engineering major subjects. This study suggests that a class model of Engineering Mathematics include Calculus review test so that students can study for themselves Calculus 'outside Calculus class'. First of all, a systematic process of administrating a review test is presented. Secondly, scores of the Calculus review test is statistically analyzed to confirm that ability in Calculus is highly correlated to their achievements in Engineering mathematics. Through a survey, it is confirmed that students in Engineering Mathematics study Calculus for themselves as they think Calculus review test is helpful.

• Communications of Mathematical Education
• /
• v.19 no.4 s.24
• /
• pp.633-647
• /
• 2005

The rapid change in school mathematics curricula occurred over last some periods requires lots of change or improvement in the education method for the university mathematics, especially in calculus. As an effort in this direction we restrict our concern to the freshmen of year 2002 of the Korea university of technology and education to investigate a correlation between their mathematics score on the national entrance examination and achievement score measured by their final grades in a calculus course. As a result of this research we propose a step-wise level educational model for the calculus education. In the model an appropriate teaching contents and method proceeding through the three steps are suggested and implementation issues are discussed. We believe that carrying out mathematics curricular are suggested in the model will be of service to calculus education particularly for student under the 7th national curriculum reform.

• Journal of the Korean School Mathematics Society
• /
• v.6 no.2
• /
• pp.71-85
• /
• 2003

In this paper we study the usefulness of Maple in school calculus education. The use of computer and calculator is debated in many aspect in mathematics education. By the computer visualization of mathematical image and proper use of computer we can teach inductively and intuitively the mathematical concept and give rise to the students' interest. Maple is very popular in college but is not in middle school because of language. Maple application which is made by Maplet is very useful multimedia teaching-learning tools. We introduce the use of Maplet and some application of the calculus course which we made.

• Journal of Engineering Education Research
• /
• v.19 no.3
• /
• pp.44-53
• /
• 2016

In the engineering students, MSC is the most important basic areas in education. Also, the calculus is a main subject in the MSC. So calculus has been operating the annual number of courses at the university. We introduced the concept of joint control ; the joint syllabus, test and assessment. In harsh conditions to maintain joint control system of the calculus, we built a computer-aided-system to manage web-based result processing system. In this paper, we discussed the necessity and effectiveness of joint control system for calculus.

• The Mathematical Education
• /
• v.48 no.3
• /
• pp.213-234
• /
• 2009

College students have a diverse educational background with the recent multiplicity in university admissions standards and procedures. As a result, their mathematical preparation and performance varies widely. Teaching calculus to such a diverse student group is a demanding task. Differentiated curriculum has been conducted for the university calculus course in Yonsei university for the past five years. A case study on the differentiated curriculum in Yonsei university is presented for the curriculum improvement. With its ideal purpose, the differentiated curriculum has created issues and problems in practice. As an alternative to the ideal differentiated curriculum, this study shows that a computer-based approach using a numerical software could give aids to overcoming the difficulty of inadequately prepared students in the learning process while mathematically sophisticated students could keep interested in the course. This study also presents the useful topics in calculus that can be implemented for computer-based calculus education and provides guidelines for the effective usage.