• Journal of Educational Research in Mathematics
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• v.22 no.2
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• pp.229-259
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• 2012

The purpose of the present study is to develop instrument of mathematical belief of middle school and high school students and to analysis results of test using the instrument. Based on the results of literature review, mathematical belief is the cumulative effects of self-assessment and self-concept in mathematical learning and achievement experience. Four sub-components of mathematical belief is identified belief of school mathematics, belief of mathematical problem solving, mathematical self-concept, belief of mathematical teaching and learning. The instrument was developed to investigate mathematical belief by reflecting Korean middle school and high school students' psychological characters. To develop the appropriate items for the mathematical belief, after reviewing literature thoroughly, first version of the instrument was developed and exploratory factor analysis and confirmatory factor analysis were conducted. Then, to reduce the effect of the gender difference and achievement level difference, Correlation Analysis and 1-way ANOVA was performed. Also, using multiple group confirmatory factor analysis, this instrument was investigated to see whether this can be used for both middle school and high school. The final items for middle school students is consisted 7 items of belief of school mathematics, 9 items of belief of mathematical problem solving, 11 items of mathematical self-concept, 10 items of belief of mathematical teaching and learning. Instrument of mathematical belief for high school students is consisted 9 items of belief of school mathematics, 9 items of belief of mathematical problem solving, 11 items of mathematical self-concept, 11 items of belief of mathematical teaching and learning. This study examined the differences about mathematical belief's sub-factors shown by three groups of mathematics achievement level. Students of higher achievement level showed that the degree of most factors ware the highest excepting stereotype of belief of school mathematics. Also, Male students preferred more positive in mathematics belief than female students.

• Journal of the Korean School Mathematics Society
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• v.1 no.1
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• pp.59-67
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• 1998

Probability and statistics is an important section in mathematics which is deeply related to everyday living, natural science and social science. In spite of its importance, many students will throw away it because it becomes very harder as its step(stage) deepens and probability and statistics' relative importance is very small in Korea-SAT(the test of college entrance in Korea). Therefore, by analyzing the involvement carefully between the curriculum in the elementary, middle, high school and the text book, by studying the problem and improvement direction, it is necessary to investigate an effective teaching method. This study intends to give the students the confidence, interests, and accomplishment motive about probability and statistics field and to make a rational and creative decision-making through mathematical speculation by proposing an effective teaching method through analyzing an existing facts in school's probability and statistics field. The contents of this study are composed of four chapters. Chapter three looks into the mathematical curriculum in the elementary, middle, high school and its teaching meaning, the outline of contents, some tips on teaching and problems and presents an effective and concrete teaching method on the basis of the theoretical background in the chapter two. Chapter four is a conclusive part and gives the general improvement and intentional direction in educating the probability and statistics.

• Journal of Engineering Education Research
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• v.21 no.1
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• pp.37-43
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• 2018

The purpose of this study is to investigate the effects of peer tutoring and feedback on academic learning in university mathematics. We compared subject satisfaction and academic achievement between the test group and the control group. We classified the test group(82 participants) and the control group(134 non-participants) and then applied peer tutoring and feedback to the test group. The rest of the environment was the same except for participation in the program. According to results, it was confirmed that the subject satisfaction were significantly higher(significance level .05) in the test group, where the subject satisfaction were learning objectives and expectation, learning satisfaction, and learning effect. Furthermore, in the change of academic achievement, the rate of decrease was lower and the rate of increase was higher in the test group than the control group. The satisfaction of participants was 4.33(Likert scale 5), and this trend tended to be same regardless of gender, high school course, or admission process.

• Journal of the Korean School Mathematics Society
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• v.7 no.1
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• pp.121-138
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• 2004

For the efficient application of curriculum discretion activity, I developed the program, 'Let's go together', so that curriculum discretion activity can be applied in the classroom. The program consists of several experiences, which are <Man to man paired study>, <the learning materials for Mathematics in our lives>, <the cooperative study in the class> and <the variety experiences about Mathematics>. This study shows the following results: First, T-test about the students' learning attitude and interest in Mathematics, there was dramatic change in students' desire, interest and attitude for mathematics learning. Second, as the role of Baewomi & Dowomi in 'Man to man paired study', Baewomi & Dowomi provided students with confidence of mathematics learning. We were able to ensure this fact from students' essay after the class. Third, teachers found that the number of students who had positive attitude with Self-directed study increased. And students tried to solve mathematical problems by themselves and the time using self-directed learning experience was also increased. This study suggests that there needs more development for learning materials for mathematics in our lives.

• Research in Mathematical Education
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• v.4 no.1
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• pp.1-22
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• 2000

The purpose of this study was to investigate the effects of using graphing calculators on students' understanding of the linear and quadratic function concepts. The populators of this study are tenth graders at high school in Seoul, one class for the treatment group and another class for the comparison group, and experiment period is 14 weeks including two weeks for school regular exams.Function tests used in the study was proposed which described a conceptual knowledge of functions in terms of the following components: a) Conceptual understanding, b) Interpreting a function in terms of a verbal experission, c) Translating between different representations of functions, and d) Mathematical modeling a real-world situation using functions. Even though the group test means of the individual components of conceptual understanding, interpreting, translating, mathematical modeling did not differ significantly, there is evidence that the two groups differed in their performance on conceptual understanding. It was shown that students learned algebra using graphing calculators view graphs more globally. The attitude survey assessed students' attitudes and perceptions about the value of mathematics, the usefulness of graphs in mathematics, mathematical confidence, mathematics anxiety, and their feelings about calculators. The overall t-test was not statistically significant, but the students in the treatment group showed significantly different levels of anxiety toward mathematics.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.13 no.5
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• pp.2063-2071
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• 2012

Mathematics is among the most important subjects in the middle school curriculum, yet the most hated subjects by students. The present study investigated the role of perceived executive functioning on the middle school student's mathematics achievement, after controlling for other psychological factors. Results showed that the students levels of executive functioning was predictive of their mathematics achievement test scores, even after motivational and attitude variables were controlled. The impact of the executive functioning was especially noticeable for the low achievers. On the other hand, for those whose scores were high, biological variables were the only significant predictors of their scores. The results of the present study imply that the intervention programs for improving mathematics achievement of middle school students should consider the different effect of cognitive and psychological factors on their achievements.

• Journal of Educational Research in Mathematics
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• v.27 no.4
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• pp.679-700
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• 2017

In this study, revisions of university entrance exams of mathematics in the UK, Australia and Japan are investigated. In the UK, A-level mathematics are revised to harmonize pure and applied mathematics so that the subjects and contents of each test are adjusted, and new types of items are announced. NSW university entrance exams in Australia are being revised in line with the Stronger Higher School Certificate policy, which basically reinforces mathematics. In Japan, as part of the educational reforms that link high schools and universities, current exams of National Center for University Entrance Examinations are abolished and Common Test for University Entrance is introduced. Mathematics of new test emphasizes comprehension, judgement and expression with new items and short-answer questions. Based on the case of the UK, Australia and Japan, this study discussed improvement of mathematics test in the Collage Scholastic Ability Test (CSAT) Korea in terms of objects and characteristics of test, systems and types of items. and support from academia.

• East Asian mathematical journal
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• v.30 no.4
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• pp.493-507
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• 2014

The purpose of this thesis is to understand the relationship between the College Scholastic Ability Test(CSAT) and the Mathematics Level Assessment(MLA) which is conducted in P University. There are high correlations in grades, subject areas and college entrance types between grades of mathematics B-type of the CSAT and scores of the MLA. However, the many students showed substantial differences between the grades in the two tests. On the basis of these analysis results, we suggest plans for improving the implementation of the MLA and the teaching-learning methods about College General Mathematics.

• School Mathematics
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• v.1 no.2
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• pp.637-660
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• 1999

Although ‘to understand mathematics’ is an important educational purpose, most student do not have a relational understanding of the basic concept of mathematics but have a instrumental understanding. This paper will investigate the possibility of using computers for enhancing relational understanding. In the ‘Qualitative case study’, three students who are in the first grade at E-High school took part in 7 activities during four weeks, and were later interviewed and engaged in informal discussion and were observed. This is the result of this study. 1. The three students were passive participants in mathematics problem solving situation at school. Therefore, student B just applied formulas which she had memorized, and student C would forgot the formulas occasionally. These common students needed to participate actively in doing mathematics. 2. The activities utilized two software healing with connection between graphs and function, giving the students the opportunity to plan, practice, and test by themselves. As a result, they understood the mathematical formulas and rules more deeply through their own trial and error, and then they gained thinking abilities necessary for doing mathematics. In addition, the activities boosted their confidence. 3. The understanding type of students was slightly different. Student A who received a high score, understood the most relationally, but student B who received a very high score, understood instrumentally and so couldn't app1y her knowledge to solving problems related to function concept. Student C who received a middle score lacked knowledge of mathematics but thought more creatively. The result is that students need an opportunity to think rotationally regardless of score. Therefore, this study concludes that using computer software will provide a positive effect for relational understanding in loaming function concept.

• Journal of the Korean School Mathematics Society
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• v.18 no.2
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• pp.203-221
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• 2015

The purpose of this study is to analyze how a peer mentoring method affects students' problem solving abilities and class satisfaction in the context of high school quadratic curves and provide implications for teaching and learning mathematics. For this study, seventy six 11th graders in the natural sciences track participated in the peer mentoring method. After finishing the teaching method, Problem Solving Abilities Questionnaire was collected for analysis of pre-test/post-test experiments and Class Satisfaction Questionnaire was also gathered. The results show that the mentoring method positively impacts on participants' problem solving abilities and class satisfaction because its comfortable learning environments, individualized learning contents, and unconstrained learning processes motivate them through ways to improve their communication. According to the results, it is to address practical implications applied in teaching quadratic curves in high school with the value and importance of mentoring methods.