• Communications of Mathematical Education
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• v.33 no.3
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• pp.395-423
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• 2019

The purpose of the study is to analyze the levels of cognitive demands and components of the reasoning process presented in the mathematical sequence section of three high school mathematics textbooks in order to provide implications for the development of reasoning tasks in the future mathematics textbooks. The results of the study have revealed that most of the reasoning tasks presented in the mathematical sequence section of the three high school mathematics textbooks seemed to require low-level cognitive demands and that low-level cognitive demands reasoning tasks required only a component of one reasoning process. On the other hand, only a portion of the reasoning tasks appeared to require high-level of cognitive demands, and high-level cognitive demands reasoning tasks required various components of reasoning process. Considering the results of the study, it seems to suggest that we need more high-level cognitive demands reasoning tasks to develop high-level cognitive reasoning that would provide students with learning opportunities for various processes of reasoning, and that would provide a deeper understanding of the nature of reasoning.

• 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.

• Journal of the Korean Chemical Society
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• v.56 no.4
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• pp.518-529
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• 2012

The purpose of this study is to analyze the cognitive demands level of the description about 'element', 'periodic table', and 'atom' on the 'science 2' textbooks by the 2007 revised curriculum. The three types of CAT (Curriculum Analysis Taxonomy) have been used to analyze the cognitive demands level of those contents on the 6 kinds of 'science 2' textbooks. The cognitive demands level about 'elements' on many textbooks is a late concrete operational stage, because the descriptions of 'element' are pure substances or no more split into anything simpler substances. That cognitive demands level about one textbook is a early formal operational stage, because the descriptions 'element' are a substance of one kind of atom. The cognitive demands level of 'periodic table' on many textbooks is a late concrete operational stage, because the descriptions about 'periodic table' are the hierarchical classification for the categorizing reality. And the cognitive demands level of 'periodic table' is a early formal operational stage, because the descriptions about 'periodic table' are a collection of 'families' or two-way gradation of elements. That cognitive demands level about one textbook is a late formal operational stage, because the descriptions of 'periodic table' are a complex classificatory structure linking atomic structure. The cognitive demands level about 'atom' is a early formal operational stage because of the descriptions as "atoms have structure, some atoms are the same, or others are different".

• Education of Primary School Mathematics
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• v.18 no.2
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• pp.61-75
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• 2015

This study analyzed the characteristics of mathematical tasks including the level of cognitive demands set up by pre-service elementary school teachers. 50 pre-service teachers in G university of education who participated in their 4 weeks teaching practicum were selected as subjects. They planned and implemented mathematics lesson with their lesson plans. Lesson plans, video of their lessons, transcript of video were gathered and analyzed the characteristics of mathematical tasks used in their lesson. Through the analysis, several conclusions were drawn as follow. First, 78% of the subjects modified tasks in mathematics textbooks. Since modification or construction of mathematical tasks gives good chance for constructing mathematical task knowledge for teaching, more chance should be given to pre-service teachers to construct new tasks or modify tasks in mathematics textbooks. Second, types of modification done by pre-service teachers were categorized as number change(15.6%), situation change(78.1%) and material change(6.3%). As Chapman(2013) emphasized the importance of MtKT, pre-service teachers must have more MtKT by understanding the characteristics of mathematical tasks. Third, the level of cognitive demands required by mathematical tasks were relatively low. 74% of mathematical tasks was lower cognitive demands and only 26% was higher cognitive demands. The level of cognitive demands of tasks in mathematics textbooks tended to be lowered by the directions given right after the tasks were given. In this respect, the structure of mathematics textbooks need to be changed.

• 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.

• The Mathematical Education
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• v.62 no.2
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• pp.257-268
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• 2023

The purpose of the study is to analyze the characteristics of open-ended tasks in terms of cognitive demands. For this purpose, we analyzed characteristics of open-ended tasks presented in the sequence units of three high school mathematics textbooks. The results of the study have revealed that low cognitive demand levels of open-ended tasks had characteristics including procedures within previous tasks or within those tasks. On the other hand, high cognitive demand levels of open-ended tasks had characteristics of actively exploring new conditions to gain access to what is being sought, requesting a basis for judgement, linking various representations to the concepts of sequences, or requiring a variety of answers. These results are significant in that they not only specified the characteristics of open-ended tasks with high cognitive demands in terms of the intended curriculum, but also provided a direction for the development of open-ended taks with high congitive demands.

• Korean Journal of Health Education and Promotion
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• v.33 no.5
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• pp.13-21
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• 2016

Objectives: The present study aims to examine associations between job demands and problem drinking, smoking, and practice of regular exercise among middle-aged and older male employees. Methods: Analyses were based on 239 employees aged 50+ and participated the 1st(2006) and the 4th(2012) waves of the Korean Longitudinal Study of Ageing(KLoSA). Panel logit regression analyses were performed to explore longitudinal associations between physical and cognitive job demands and the health behaviors when effects of demographic characteristics and objective job conditions were controlled. Results: Results suggested that first, workers who reported greater cognitive job demands were less likely to engage in problem drinking over the 6-year-period. Second, increased physical demands of the job were associated with greater odds of smoking, while physical demands predicted a reduced likelihood of practicing regular exercise. Conclusions: Results from the present analyses emphasize job demands could lead workers to problem health behaviors and suggest areas for health promotion efforts at the workplace that are sensitive to the needs of aging workers.

• Research in Mathematical Education
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• v.16 no.3
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• pp.155-176
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• 2012

It is an important issue to explore classroom environments which are conducive to developing students' mathematical performance. This study explores the effects of different classroom environments (solution-demand and corresponding-time setting) on mathematical performances. Fourteen and eighteen prospective teachers were required to prove a task under different conditions respectively: a) Cognitive demand of multiple-solution corresponding time of three hours, and b) Cognitive demand of a right solution corresponding time of 20 minutes. We used SOLO as the assessment tool for mathematical performance from quality perspective. Significant differences were found in the quantity and quality of mathematical performance. The regular environment focusing on speed and accuracy were found to be directly linked to low levels of performance. The findings above provide implications to the cognitive benefits of multiple-solution demand and corresponding time setting.

• Journal of the Korean Academy of Child and Adolescent Psychiatry
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• v.26 no.3
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• pp.143-148
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• 2015

The purpose of this review was to investigate the relationship between aerobic exercise and cognitive function as well as synthesize the effect of aerobic exercise intervention studies centered on psychiatric symptoms associated with general cognitive deficit. Prospective studies on aerobic exercise and improvement of cognitive function were reviewed and synthesized. In addition, this literature review provides significant positive results on the relationship between aerobic exercise and general cognitive deficit associated with psychiatric symptoms. Review of this literature suggests that there is a positive relationship between participation in aerobic exercise and cognitive function. In this text, there are at least three general pathways by which aerobic exercise may facilitate executive function in children : 1) cognitive demands inherent in engaging in physical activity, 2) cognitive demands inherent in cooperation of complex motor tasks, and 3) physiological changes resulting from aerobic exercise. Another main finding of this review is that physical activity has a stronger influence on cognitive deficit, including attention-deficit hyperactivity disorder, depression, and anxiety. Development of cognitive function is the most important factor for children and youth. Therefore, future research should prove relationship between physical activity and cognitive function using a more scientific and quantitative approach design.

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