• Title/Summary/Keyword: high school mathematics curriculum

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Characteristics of and factors affecting on students' attitude toward mathematics (초.중.고등학교 학생의 수학에 대한 태도 특성 및 영향 요인)

  • Park, Sun-Hwa;Sang, Kyong-Ah
    • School Mathematics
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    • v.13 no.4
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    • pp.697-716
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    • 2011
  • It is known that Korean students performs very well in mathematics but show poor attitude toward mathematics. However, attitude itself is an important goal of education and it also promotes students learning. Therefore, it is important and urgent for us to find a way to improve students' attitude toward mathematics. In this article, we tried to examine characteristics of Korean students' attitude toward mathematics and identify student and school level factors affecting it. For this purpose, we analysed National Assessment of Educational Achievement (NAEA) data in 2007 when NAEA was conducted especially focused on mathematics. Main findings of this research are as follows. First, we found that attitude toward mathematics got lower as students advanced to higher grades. And among 3 sub-domains of attitude toward mathematics, interest and self-confidence were lower than perception of value of mathematics. Secondly, attitude toward mathematics was mainly affected by student background variables such as gender, achievement, participation in private tutoring, father's education level. And while school factors contributed relatively little to students' attitude toward mathematics, teacher's perception on value of school education was positively related with students' attitude in high schools and emphasis on assessment was negatively related with students' attitude in elementary schools.

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An analysis of the curriculum on inequalities as regions: Using curriculum articulation and mathematical connections (부등식의 영역 교육과정 분석: 고교-대학수학의 연계 및 수학적 연결성을 중심으로)

  • Lee, Song Hee;Lim, Woong
    • The Mathematical Education
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    • v.59 no.1
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    • pp.1-15
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    • 2020
  • In this paper, we analyzed curriculum materials on inequalities as regions. Constructs such as mathematical connections and curriculum articulation were used as a framework. As for articulation, our findings indicate the topic of inequalities as regions addresses meaningful subordinate mathematical thinking and skills that serve prerequisite to calculus. Regarding connections, mathematical concepts involving inequalities extend to multivariate calculus. One implication is, as an unintended consequence of curricular decision of 2015 Revised National Curriculum to teach the topic only in mathematical economics, students who plan to study STEM subjects in college but opt out of mathematics economics in high school may miss the key concept and naturally struggle to understand calculus especially the theory of multivariate function of calculus.

Analyzing Contexts Used in Textbook Problems - A Case of Precalculus - (교과서 실생활 문제 분석 - 미국 Precalculus 교과서를 중심으로 -)

  • Noh, Jihwa
    • Communications of Mathematical Education
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    • v.30 no.3
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    • pp.295-308
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    • 2016
  • In order to determine the message that is communicated to students about people who use math, this study analyzes contexts, human presence in particular, used in problems presented in a U. S. high school mathematics textbook. A framework was developed to analyze the human presence and was used to determine both the degree to which humans are present in the curriculum as well as characteristics of the present humans. One outcome of this study is the framework itself which can be used to analyze the human presence in any mathematics curriculum. Other outcomes include the determination that the particular mathematics textbook under study contains an overwhelming lack of humans, a surprising lack of named humans, and a disappointing presence of humans in math-related careers. These findings raise concerning questions about the message that is communicated to students about the usefulness of school mathematics and missing a valuable opportunity to inspire students to pursue degrees in mathematics. Additionally, it is hoped that these findings would inform the work of the Korean mathematics education communities on the textbook development.

Analysis of computer applications in the 7th high school textbooks on mathematics (제7차 고등학교 수학교과서의 컴퓨터 활용에 관한 분석)

  • 이지연;정유리;이영환
    • Journal of the Korean School Mathematics Society
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    • v.6 no.2
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    • pp.1-19
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    • 2003
  • The challenge of education reform and the demand for textbook revision were inevitable as to help people manage changes in the twenty-first century. The 7th educational program not only has different educational goals, purposes and methods compare to the previous 6th program, but also introduces an epochal plan so called "free-choice learning" which involves considerable choices on the part of the learner as to what and which subject to learn. For the education on mathematics, applying computer and calculators to the studies were one of the goals educational process. This research encompasses ways to approach computer application in the 7th high school s on mathematics. The main contents of our paper are analysis of 16 different kinds of high school textbooks, its status of uses in each textbooks, math relating programs, use of computers, use of programs, use of computers in each textbooks and use of internets.internets.

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Analysis of Educational Context Variable Effects on Gender Differences Observed in PISA 2012 Mathematics in Korea, Singapore, and Finland (우리나라, 싱가포르, 핀란드의 PISA 2012 수학에서의 성차에 대한 교육맥락변인 영향력 비교 분석)

  • Rim, Haemee;Han, Jung-A
    • Journal of Educational Research in Mathematics
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    • v.26 no.2
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    • pp.189-204
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    • 2016
  • As compared with the gender differences in the achievement of mathematics of the PISA 2009, the results of this study on the PISA 2012 show that the achievement of male students sharply increased, while that of female students maintained the status quo. Based on the premise that this result is derived from the ratio differences between male and female students of high level, this study analyzed the educational context variable effects on the achievements of gender differences observed between male and female students of high level. In particular, this study inquired into the factors which influence the gender difference, by analyzing the identical variables regarding Singapore and Finland of which the achievement of female students registers high among other top high-ranking countries of the PISA 2012. Hence, the binominal logistic multi-level analysis was conducted in order to consider the characteristics of hierarchical structure of PISA, and to compare the features of the educational context variable effects between the high level (above level 5) by country and the highest level (above level 6) by group. The analysis results are as follows: in terms of after-school learning time realized either in private lessons and private institutes, no significant effects were shown in any of the students of these three countries. In terms of after-school homework time, the students of Korea and Singapore gave significant influences on the probability which would be included in the group of high level or the highest level. In particular, regarding the variables which influence the probability of inclusion of Korean female students in the group of high level or the highest level, they correspond to "Homework set by teacher", "Attitude toward school: learning activities", "ESCS of School" and "Teacher-student relations". And "Cultural possessions at home" gave main influences on the probability of inclusion of the female students of Korea, Singapore and Finland in the group of the highest level.

Exploration of the application possibility of curriculum with mathematical modeling through coding activities

  • Kim, Dong-Joong;Kim, Won;Jung, Jae young;Choi, Sang-Ho
    • Journal of the Korea Society of Computer and Information
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    • v.25 no.2
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    • pp.241-250
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    • 2020
  • In this paper, we propose a direction of teaching method for future generations. In order to suggest such the direction, teaching and learning materials that integrate coding activities and mathematical modeling were developed through top-down and bottom-up processes. Coding and engineering experts and mathematics education experts developed teaching and learning materials through councils (top-down courses) and applied them to 24 high school first graders based on student responses (bottom-up courses). Additionally, the developed curriculum helped students increase interest and motivation and realize conceptual understanding, problem posing, and problem solving in mathematics. On the basis of these results, it provided an idea about how to develop curriculum combining mathematical modeling with coding activities, needed for the fourth industrial revolution.

A Study on the Features of the Curriculum of Chosun-Sanhak in the 17th to 18th Century (17-18세기 조선산학의 교육과정적 특징 고찰)

  • Choi, Eun Ah
    • Journal of Educational Research in Mathematics
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    • v.24 no.3
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    • pp.409-428
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    • 2014
  • The purpose of this study is to examine the features of the curriculum of Chosun-Sanhak(朝鮮算學), the mathematics of Chosun Dynasty in the 17th to 18th century. The results of this study are as follows. First, the goal of education, teaching-learning method and assessment of Chosun-Sanhak in the 17th to 18th century had not changed since the 15th century. Second, the changes in the field of the organization of mathematical contents were observed. Chosun-Sanhak in that time was higher in the hierarchy than in the 15th to 16th century. The share of the equation and geometry had increased and various topics of mathematics had been studied as well. Third, in the field of the characteristics of mathematical contents, the influx of European mathematics and the uniqueness of Chosun-Sanhak had been observed. In conclusion, The 17th to 18th century was the time when Chosun-Sanhak had pursued the identity escaping from the effects of Chinese-Sanhak.

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Investigation of Present State about Mathematical Reasoning in Secondary School -Focused on Types of Mathematical Reasoning- (학교 현장에서 수학적 추론에 대한 실태 조사 -수학적 추론 유형 중심으로-)

  • 이종희;김선희
    • The Mathematical Education
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    • v.41 no.3
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    • pp.273-289
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    • 2002
  • It tends to be emphasized that mathematics is the important discipline to develop students' mathematical reasoning abilities such as deduction, induction, analogy, and visual reasoning. This study is aimed for investigating the present state about mathematical reasoning in secondary school. We survey teachers' opinions and analyze the results. The results are analyzed by frequency analysis including percentile, t-test, and MANOVA. Results are the following: 1. Teachers recognized mathematics as knowledge constructed by deduction, induction, analogy and visual reasoning, and evaluated their reasoning abilities high. 2. Teachers indicated the importances of reasoning in curriculum, the necessities and the representations, but there are significant difference in practices comparing to the former importances. 3. To evaluate mathematical reasoning, teachers stated that they needed items and rubric for assessment of reasoning. And at present, they are lacked. 4. The hindrances in teaching mathematical reasoning are the lack of method for appliance to mathematics instruction, the unpreparedness of proposals for evaluation method, and the lack of whole teachers' recognition for the importance of mathematical reasoning

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Korean High School Students' Understanding of the Concept of Correlation (우리나라 고등학생들의 상관관계 이해도 조사)

  • No, A Ra;Yoo, Yun Joo
    • Journal of Educational Research in Mathematics
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    • v.23 no.4
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    • pp.467-490
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    • 2013
  • Correlation is a basic statistical concept which is necessary for understanding the relationship between two variables when they change values. In the middle school curriculum of Korea, only informal definition of correlation is taught with two-way data representations such as scatter plots and contingency tables. In this study, we investigated Korean high school students' understanding of correlation using a test consisting of 35 items about interpretation of scatter plot, contingency table, and text in realistic situation. 216 students from a high school in Seoul took the test for 20 minutes. From the results, we could observe the following: First, students did not have right criteria for determining the strength of correlation presented in scatter plots. Most of students could determine if there is correlation/no correlation and if the correlation is positive/negative by seeing the data presented in scatter plots. However, they did not judge by the closeness to the regression line but rather judged by the closeness between data points. Second, when statements about comparing the strength of correlation in the context of real life situation were given in text, the students had difficulty in understanding the distribution-related characteristic of the bi-variate data. Students had difficulty in figuring out the local distribution characteristic of data, which cannot be guessed merely based on the expression 'The correlation is strong' without statistical knowledge of correlation. Third, a large number of students could not judge the association between two variabels using conditional proportions when qualitative data are given in 2-by-2 tables. They made judgement by the absolute cell count and when the marginal sum of two categories are different for explanatory variable they thought the association could not be determined. From these results, we concluded that educational measures are required in order to remove such misconceptions and to improve understanding of correlation. Considering that the current mathematics curriculum does not cover the concept of correlation, we need to improve the curriculum as well.

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Applications of R statistical package on Probability and Statistics Education in Elementary, Middle and High School(II) (초.중.고등학교 확률 및 통계영역 교육에서의 R 통계패키지의 활용(II))

  • Jang, Dae-Heung
    • Communications of Mathematical Education
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    • v.21 no.2 s.30
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    • pp.227-270
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    • 2007
  • We described the overall explanation about R statistical package in Jang(2007). With referring the contents of the 7th national mathematics curriculum, we suggest the plan for applications of R package on probability and statistics education in elementary, middle and high school mathematics.

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