• Proceedings of the Korea Society of Elementary Mathematics Education
• /
• 2010.08a
• /
• pp.157-172
• /
• 2010

본 연구는 현행 초등학교에서 이루어지고 있는 서술형 평가의 유형과 문제점을 분석해 보고 2007개정 교육과정에 따른 수학과 서술형 예시 평가 문항을 개발해 보는데 목표가 있다. 학교에서 시행되고 있는 평가 자료의 분석은 수학교과서, 국가수준 학업성취도 평가지, 서울시 교육청 보급 2010 장학자료집, 서울시내 학교에서 시행되고 있는 평가 문항을 분석해 보았다. 그리고 예시 서술형 평가 문항개발은 2007개정 교육과정에 따른 수학과 4학년을 대상으로 하였다. 평가 문항 분석의 결과는 문항 유형이 단순하고 교과서와 장학자료집의 수준을 벗어나지 못하고 있으며 창의성 영역의 평가는 거의 이루어지고 있지 않았다. 서술형 예시평가 문항의 개발은 수학과의 내용영역과 인지적 영역뿐 아니라 교육계의 화두가 되고 있는 창의성 영역까지 평가내용으로 포함시키고자 노력하였으며 영역별 1-2 문항을 개발하였다.

• Education of Primary School Mathematics
• /
• v.16 no.2
• /
• pp.107-122
• /
• 2013

The purpose of the study is finding the effective teaching and learning methods on the concepts of figures through exploring the change of students' cognitive structures before and after the peer teaching activities. The difference of the peer teacher's and student's cognitive structures was investigated for the activities. Three teams, six students of 5th grade, were selected from the S elementary school in Boyeon. To figure out the students' cognitive structures, pre and post in-depth interviews were conducted and analyzed. Both peer teachers' and learners' cognitive structures were changed. Peer teachers' cognitive structures were changed more positively than peer learners. A consistent systematic planation and continuous teacher support and effort are needed for the activities.

• The Mathematical Education
• /
• v.59 no.3
• /
• pp.217-235
• /
• 2020

This study examined Korean fourth-grade students' performance by gender on the Trends in International Mathematics and Science Study(TIMSS) 2011 and 2015 mathematics assessment. We first identified items which had significantly higher mean scores by gender to decide which gender did better on a certain domain(domain-level analysis). Then, we examined the content of items(item-level analysis) to understand which items lead to gender differences in mathematics achievement. Our findings showed that about 80% of the items on both assessments did not show statistically significant differences between males and females. However, there were meaningful gender differences in the other 20% items. On both assessments, females had more items with significantly higher mean scores than males on the Shapes domain, and males had more those items on the Numbers and Measurement domains and all cognitive domains(Knowing, Applying, and Reasoning). In particular, females outperformed males on items related to identifying two- and three-dimensional shapes and drawing lines and angles and identifying them. Conversely, males had higher performance than females on items related to the pre-algebraic thinking, fractions and decimals, estimation of number differences, unit of length, and measuring time, height, and volume. The effect sizes for each item ranged from .12 to .33 and the mean effect size of all items across both assessments was .20, which indicated significant gender differences but small.

• Communications of Mathematical Education
• /
• v.19 no.1 s.21
• /
• pp.15-24
• /
• 2005

오늘날 제 7차 교육과정은 학습자의 사고과정과 능력을 다양한 평가방식으로 실시하도록 권유하고 있다. 이러한 목적을 구현하기 위하여 수학과 평가는 교수-학습에 유용한 평가, 과정 중심의 평가, 다양한 방법을 활용하는 평가가 되어야 할 것이다. 이는 학습자로 하여금 스스로 학습하도록 가정하는 인식론적 변화에 바탕을 둔 최근의 평가 동향과 맥을 같이 하고 있다. 평가에서 학생의 수학활동 역시 특히 인지적 영역의 다양성을 지닌 개인에 의하여 이루어지기 때문에 수학 평가는 단편적인 정형화된 지식이 아닌 문제 해결의 전략이나 발견술과 같은 요소에서 강조되고 있는 비정형의 문제들을 통한 메타인지적인 발달과정을 고려해야 한다. 본 연구에서는 학생이 준개방형 평가문제를 해결하는 과정을 통해 자신이 얼마나 알고 있는가를 인식하며 자신의 문제 해결 전략을 점검하고 평가하는 인지적 능력에서 일어나는 변화를 알아보는 데 그 목적이 있다. 지금 현재 연구가 진행 중이며 본 연구의 결과는 다음 논문집에 발표할 예정이다.

• Communications of Mathematical Education
• /
• v.29 no.3
• /
• pp.281-300
• /
• 2015

The purpose of this research is to analyze cognitive demands, answer types, and storytelling types on the basis of mathematical tasks in five different mathematics textbooks based on 2009 revised curriculum in order to suggest directions for the development and use of storytelling mathematics textbooks in school. Results show that first, PNC (Procedures without Connections) task was the largest category in cognitive demands of all mathematical tasks, Low-Level task was larger than others in cognitive demands of mathematical content tasks, and High-Level task was larger than others in cognitive demands of mathematical activity tasks. Second, a short-answer type was the largest category in answer types of all mathematical tasks, the majority of mathematical content tasks were a short-answer type, and the majority of mathematical activity tasks were both short-answer and explanation-answer types. Finally, storytelling connected to real-life was the largest category in storytelling types, and the number of mathematical activity tasks was less than that of mathematical content tasks. However, in the tasks reflected on storytelling, the percentage of mathematical activity tasks was higher than that of mathematical content tasks. Based on the results, while developing storytelling mathematics textbooks and using storytelling textbooks in school, it suggests to consider the need for balance and diversity in cognitive demands, answer types, and storytelling types according to mathematical tasks.

• Journal of Elementary Mathematics Education in Korea
• /
• v.18 no.1
• /
• pp.63-81
• /
• 2014

Korean students have shown high achievements on the cognitive domain of mathematics in a range of international assessment tests. On the affective domain, however, significantly low achievements have been reported. Among the factors in the affective domain, this article discusses on the value of mathematics in the perspective of Michael Polanyi's philosophy, which centers personal knowledge and tacit knowing. Polanyi emphasizes abstractness and generalization in mathematics accompanied by intellectual beauty and passion. In his perspective, therefore, utilitarian aspects and usefulness of mathematics imparted through linguistic representations have limits in motivating students to learn mathematics. Students must be motivated from recognition of the value of mathematics formed through participating authentic mathematical problem solving activity with immersion, tension, confusion, passion, joy and the like.

• Journal of Elementary Mathematics Education in Korea
• /
• v.16 no.2
• /
• pp.253-267
• /
• 2012

In this paper, we primarily focus on the perspectives about creative process, which is how mathematical creativity emerged, as one aspect of mathematical creativity and then present a desirable task characteristic to measure and program characteristics to develop mathematical creativity. At first, we describe domain-generality perspective and domain-specificity perspective on creativity. The former regard divergent thinking skill as a key cognitive process embedded in creativity of various discipline domain involving language, science, mathematics, art and so on. In contrast the researchers supporting later perspective insist that the mechanism of creativity is different in each discipline. We understand that the issue on this two perspective effect on task and program to foster and measure creativity in mathematics education beyond theoretical discussion. And then, based on previous theoretical review, we draw a desirable characteristic on instruction program and task to facilitate and test mathematical creativity, and present an applicable task and instruction cases based on Geneplor model at the mathematics class in elementary school. In conclusion, divergent thinking is necessary but sufficient to develop mathematical creativity and need to consider various mathematical reasoning such as generalization, ion and mathematical knowledge.

• Journal of Educational Research in Mathematics
• /
• v.25 no.1
• /
• pp.113-137
• /
• 2015

The objective of the present study is to systematically examine the effects of on the cognitive and affective domains of elementary, middle, and high school students by conducting a meta-analysis. To this end, this study selected 31 research papers that had analyzed the effects of applying, and performed a meta-analysis of the findings presented in each research paper. The results obtained from the meta-analysis are presented as follows. First, both the collaborative learning program and the peer tutoring program for underachieving students in math manifested an above average size of effect in the cognitive domain. In particular, the effect was the greatest at the elementary school level, and out of the two programs, peer tutoring was identified to have a sizable effect. Second, both programs displayed an above average size of effect in the affective domain, and peer tutoring was identified to have a higher effect than collaborative learning. In addition, when the programs were compared based on school levels, the size of effect was highest at the elementary school level followed by middle school and high school, in that order. When compared based on the criteria of the affective domain, self-efficacy in math, learners' attitude toward math, and learners' interest in math were identified to. Finally, this study presented suggestions for teaching underachieving students in math and conducting follow-up studies based on the analysis results.

• Journal of the Korea Society of Computer and Information
• /
• v.16 no.11
• /
• pp.145-152
• /
• 2011

The study analyzed effects of the problem-based learning utilizing cognitive algorithms in elementary mathematics education in terms of academic achievement and math attitude changes. In order to solve the research questions, a cognitive algorithm-based PBL model was derived based on N. Landa's algorithm-based instructional design theory. And the model was applied to a part of second semester math curriculum for 4th grade of an elementary school located in Seoul. The results showed that the PBL utilizing algorithms can be said to have effects on academic achievement. The PBL model is also considered to have positive effects in enhancing mathematical attitudes of the learners.

• School Mathematics
• /
• v.6 no.1
• /
• pp.21-35
• /
• 2004

This article was to develop a tool and apply it to the high school classrooms for the performance assessment in trigonometry Bloom(1956)'s cognitive domain and holistic rubric and analytic rubric(NCTM, 1999) were used to guide the development of 12 problems. To find validity and credibility of this developed tool, Cronbach n and Rasch's BIGSTEPS were used with the samples of high students, 208, using SPSS 10.0K. The results from the investigation, indicated that the tool was very worth assessing students' achievement and there was no difference between the areas where students lived, but were differences between genders as well as between a specialized high school and preparatory high schools.