• Education of Primary School Mathematics
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• v.18 no.2
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• pp.155-173
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• 2015

The purpose of this study is to offer the implication for elementary school mathematics teaching by analyzing teachers' reflection on the cognitive demands of mathematical tasks they give in class. During the setup phase and the implementation phase in math class, the researchers analyzed the change of cognitive demands on mathematical tasks and the factors which had influence on such changes. After teachers' reflection on teaching, the researchers analyzed the change of cognitive demands on mathematical tasks and the factors which had influence on such changes in math classes. As a result, before teachers' reflection on the cognitive demands of mathematical tasks, the higher-level demands of mathematical tasks had a tendency to decline. However, after teachers' reflection on the cognitive demands of mathematical tasks, higher-level demands of mathematical tasks were maintained.

• Proceedings of the Korea Society of Mathematical Education Conference
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• 2010.04a
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• pp.223-223
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• 2010

이 보고서는 수학교사가 교과교육자료를 수업에 적용할 때, 각 과제(task)의 cognitive demand의 수준이 어떻게 변화하는 지 분석하고 그 변화의 요인을 추정한 연구의 일부분이다. Mathematical Tasks Framework과 cognitive demand의 수준 (Stein & Henningsen, 1996)의 이론적 틀을 토대로, 미국 초등 수학교사의 수업을 관찰하고 인터뷰 자료를 수집, 분석하였다. 또한, 교사용 지도서와 교과서 등의 교과교육자료를 분석하였다. 연구 결과, 교사의 수업과제의 cognitive demand 수준이 교과교육자료에서 제시한 수준과 다르게 나타났다.

• Journal of the Korean Society of Earth Science Education
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• v.3 no.2
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• pp.99-108
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• 2010

This study lays its purpose on examining the effects of lessons with the application of drawing tasks on changes in conception among gifted science students. The lesson with the application of drawing tasks means the lesson where students express key concepts regarding lesson subjects in drawings which are then applied to the lessons to develop conception among the learners. This study analyzed the effectiveness of lessons by comparing conception scores before and after experiments between an experiment group with the application of drawing tasks and a control group with normal lessons for the gifted in general for 8 months from March to October, 2008. In addition, the researcher examined how the effectiveness of the developed lessons show differently according to levels of meta-cognition, creative problem-solving abilities, and scientific inquiry skills among the gifted students. The results from this study are as the following. First, lessons with the application of drawing tasks were effective in changing conception among the gifted science students. It is possibly because in the process where one student compare his/her own drawings with the others' ones and discuss them, changes in conception occurred effectively among the learners. Second, it was revealed that lessons utilizing drawing tasks have equal effects on changes in conception among both student groups irrespective of their levels of meta-cognition. Accordingly the lesson for changing perceptions utilizing drawing tasks developed in this study is a program which can be applied to all gifted science students in order to change conception among them. Third, lessons utilizing drawing tasks have the greatest effects on the gifted science students at a 'middle' level of creative problem solving abilities. Fourth, lessons utilizing drawing tasks have the greatest effects on the gifted science students at a 'middle' level of scientific inquiry skills. Putting these results together, it is thought that if lessons utilizing drawing tasks are applied to gifted science students, not only their concepts would be changed effectively but also their attitudes toward science would be changed positively.

• School Mathematics
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• v.17 no.4
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• pp.633-652
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• 2015

The purpose of the present study is twofold: one is to understand secondary mathematics teachers' capacity to sort out given tasks based on Stein & Smith(1998)'s Cognitive Demands of Mathematical Task Framework; the second is to examine how the teachers assess the levels of cognitive demand indicated in students' reponses and how they modify the tasks to elicit the students' higher levels of cognitive activity. The analysis of 45 teachers' responses to the survey indicates that the teachers, in general, could select appropriate tasks for the given goal of the lessons but some made the decision merely by their appearances. Even though the teachers chose a particular level with different reasons amongst each other, most teachers could correctly evaluate the levels of cognitive demand of the students' responses. Finally, teachers could pose cognitively demanding tasks using various methods, but a number of them felt challenged in creating word problems that were realistic and aligned with curriculum.

• The Mathematical Education
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• v.62 no.3
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• pp.363-380
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• 2023

This study analyzed the difficulties and mathematical modeling knowledge improvement that an elementary school teacher experienced in modifying a mathematics textbook task to a mathematical modeling task. To this end, an elementary school teacher with 10 years of experience participated in teacher-researcher community's repeated discussions and modified the average task in the data and pattern domain of the 5th grade. The results are as followings. First, in the process of task modification, the teacher had difficulties in reflecting reality, setting the appropriate cognitive level of mathematical modeling tasks, and presenting detailed tasks according to the mathematical modeling process. Second, through repeated task modifications, the teacher was able to develop realistic tasks considering the mathematical content knowledge and students' cognitive level, set the cognitive level of the task by adjusting the complexity and openness of the task, and present detailed tasks through thought experiments on students' task-solving process, which shows that teachers' mathematical modeling knowledge, including the concept of mathematical modeling and the characteristics of the mathematical modeling task, has improved. The findings of this study suggest that, in terms of the mathematical modeling teacher education, it is necessary to provide teachers with opportunities to improve their mathematical modeling task development competency through textbook task modification rather than direct provision of mathematical modeling tasks, experience mathematical modeling theory and practice together, and participate in teacher-researcher communities.

• Education of Primary School Mathematics
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• v.10 no.2
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• pp.77-110
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• 2007

This study attempted to investigate how to students show high-level mathematical thinking in math classes. This paper describes how to setup the task for lead to a high - level of thinking out students and what efforts are required while a teacher tried to maintaining students's high-level cognition during the tasks implemented. The researcher as teacher analyzed the tasks of length measurement unit in 2-Ga elementary math textbooks, modified and created math tasks demanded students' high-level cognition, made instruction plans, and implemented those tasks maintaining the levels of cognitive demand of tasks. After that, the researcher reflected and analyzed the levels of cognitive demand of tasks of instruction and factors that cause to change intended high-level cognitive demand. After reflection, second roof of action research was conducted to 2-Na length measurement unit. This paper includes those results and reflections of practitioner.

• Proceedings of the Korean Society for Cognitive Science Conference
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• 2006.06a
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• pp.125-130
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• 2006

원활한 의사소통을 위해서는 문장들을 연결하여 흐름을 조직하고 말로 산출하고 전체적인 의미를 파악할 수 있어야 한다. 이야기는 이러한 문장들이 연결되어있는 것으로, 종속적이거나 나열적인 이야기 특성은 의사소통장애인의 이야기 이해와 산출의 수행에 영향을 미칠 수 있다. 본 연구에서는 이야기 특성에 따른 유창성 실어증환자의 이야기 이해 및 산출의 능력을 알아보고, 이해과제 수행이 산출과제에 미치는 영향을 분석해보았다. 이야기 종류로는 시간적 나열 이야기와 인과적 관계 이야기, 유머가 있는 이야기를 사용하였으며, 사실적 정보, 텍스트 추론, 빠진 정보추론 등 세 가지의 이해과제를 통하여 이해 능력을 측정하였다. 산출능력은 이해과제 전과 후에 CIU 비율로 질적인 측면을 측정하고, 분당어절 수를 이용하여 양적인 측면을 분석하였다. 그 결과 이해측면은 세 가지 이야기 모두 사실적 정보에 대한 이해 능력이 상대적으로 좋았으며, 오류의 형태는 추론오류가 가장 많이 나타났다. 산출에서는 인과적 관계이야기에서의 CIU 비율이 가장 높았고, 이해과제 전, 후의 차이를 비교한 결과, CIU 비율은 변화하지 않았으나, 분당 어절수에서는 증가하고 있음을 보여주었다. 이야기의 종류에 따라서 유창성 실어증화자의 산출과제의 수행수준은 다르게 나타났다. 그리고 이해과제의 수행이 산출과제에서 양적인 증가는 가져왔으나 질적인 수준에는 아무런 영향을 미치지 않았다.

• Journal of Educational Research in Mathematics
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• v.15 no.3
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• pp.251-272
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• 2005

Given that cognitive demands of mathematical tasks can be changed during instruction, this study attempts to provide a detailed description to explore how tasks are set up and implemented in the classroom and what are the classroom-based factors. As an exploratory and qualitative case study, 4 of six-grade classrooms where high-level tasks on ratio and proportion were used were videotaped and analyzed with regard to the patterns emerged during the task setup and implementation. With regard to 16 tasks, four kinds of Patterns emerged: (a) maintenance of high-level cognitive demands (7 tasks), (b) decline into the procedure without connection to the meaning (1 task), (c) decline into unsystematic exploration (2 tasks), and (d) decline into not-sufficient exploration (6 tasks), which means that the only partial meaning of a given task is addressed. The 4th pattern is particularly significant, mainly because previous studies have not identified. Contributing factors to this pattern include private-learning without reasonable explanation, well-performed model presented at the beginning of a lesson, and mathematical concepts which are not clear in the textbook. On the one hand, factors associated with the maintenance of high-level cognitive demands include Improvising a task based on students' for knowledge, scaffolding of students' thinking, encouraging students to justify and explain their reasoning, using group-activity appropriately, and rethinking the solution processes. On the other hand, factors associated with the decline of high-level cognitive demands include too much or too little time, inappropriateness of a task for given students, little interest in high-level thinking process, and emphasis on the correct answer in place of its meaning. These factors may urge teachers to be sensitive of what should be focused during their teaching practices to keep the high-level cognitive demands. To emphasize, cognitive demands are fixed neither by the task nor by the teacher. So, we need to study them in the process of teaching and learning.

• Journal of the Korean association of regional geographers
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• v.7 no.2
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• pp.97-119
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• 2001

The present education situations are rapidly changing to adapt to 'the Knowledge & Information-based Society'. Especially, the implementation of 'the 7th National Curriculum' put strong emphasis on the learner-centered education that refers to the ability grouping. Therefore, it is necessary that the change from a traditional teaching method to a learner-centered one in geography education will take place. This study will present a design of geography ability grouping through the Task-Solving Learning. This ability grouping method is suitable for the large class. And this study also presents a strategy by applying WBI, which make use of the advantage of computer and constructivism. This WBI model can be applied properly to many teaching-learning methods that includes Self-Directed Learning, Collaborate Learning, Ability Grouping, and Applying ICT Instruction. Actually they are demanded in the current education. A geography-classroom will have an accessible internet program as a precondition for this instruction.

• Korea journal of population studies
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• v.27 no.1
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• pp.57-80
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• 2004

이 연구에서는 1970년부터 2002년까지의 시계열 자료를 이용하여 우리나라의 사회경제상황이 이혼율 증가에 어떤 영향을 미쳤는지를 분석하였다. Land and Felson(1976)의 거시 동태 사회지표 모형을 바탕으로 경제상황과 남녀 성비, 그리고 이혼 관련법의 개정 등을 분석모형에 포함시켰다. 경제상황에는 여성의 경제활동 참여율, 실업률 그리고 1인당 국내총생산으로 측정된 소득수준을 포함시켰다. 분석의 결과는 실업률과 소득수준이 이혼율의 증가 추이에 영향을 미치는 것으로 나타나고 있다. 1인당 국내총생산의 수준이 높을수록 이혼율도 증가하는 분석의 결과는 경제적 호황기에는 이혼율이 증가하고 경제적 쇠퇴기에는 이혼율이 감소한다는 선행연구의 주장을 실증적으로 뒷받침해주고 있다. 그러나 실업률이 증가할수록 이혼율도 높아지는 것으로 분석되고 있는데 이는 혼인의 결정 요인과 관련한 남성 중심의 가설을 뒷받침하고 있다. 이러한 연구의 결과는 경제상황을 구성하는 하위요인(소득수준과 실업률)이 이혼율의 변화에 미치는 영향의 기제가 다름을 보여주고 있다. 사회경제상황 자체보다는 경제상황의 변화가 이혼율의 변화에 어떤 영향을 미치는지를 분석하기 위하여 회귀분석의 모형에 변화율을 변수로 포함시킬 경우에는 1977년의 가족법 개정만이 이혼율의 변화율에 영향을 미치는 것으로 나타났다. 분석에서 이혼율에 영향을 미치는 모든 거시적 요인을 통제하지 못하고 있는데, 이는 이 연구의 내적 타당도를 저해하는 요인이 된다. 우리나라의 경우 이혼율은 경제적 상황보다는 오히려 문화적 또는 사회적 요인에 의해서 결정될 수도 있기 때문에 이혼율을 결정짓는 경제적, 문화적, 그리고 사회적 요인들을 모두 포함하는 분석 모형의 개발과 실증 자료를 이용한 검증은 향후의 연구 과제로 남는다.