• Journal of Korean Elementary Science Education
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• v.37 no.3
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• pp.285-295
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• 2018

The purpose of this study is comparing cognitive development of elementary $4^{th}$ graders and cognitive demand of activities in lesson 'The mirror and the shadow.' Also, the researchers tried to reveal how cognitive development of elementary $4^{th}$ graders and cognitive demand of textbook activities affects the achievement of students. To study students' cognitive development, the researchers use GALT(Group Assessment of Logical Thinking). Piaget's scientific thinking is used to evaluate cognitive demand of textbook activities. With several experts in science education the researchers discussed which scientific thinking is contained in each activities. The results were followed as : (1) The third of activities are significantly affected by students' cognitive development. (2) The another third of activities are influenced by not only students' cognitive development but also other factors experimental instrument. (3) The environmental factors had meaningful impact on the other third of activities.

• Research in Mathematical Education
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• v.23 no.2
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• pp.63-92
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• 2020

Student engagement in high-level, cognitively demanding instruction is pivotal for student learning. However, many teachers are unable to maintain such instruction, especially in instances of non-responsive students. This case study of three middle school teachers explores prompts that aim to move classroom discussions past student silence. Prompt sequences were categorized into Progressing, Focusing, and Redirecting Actions, and then analyzed for maintenance of high levels of cognitive demand. Results indicate that specific prompt types are prone to either raise or diminish the cognitive demand of a discussion. While Focusing Actions afforded students opportunities to process information on a more meaningful level, Progressing Actions typically lowered cognitive demand in an effort to get through mathematics content or a specific method or procedure. Prompts that raise cognitive demand typically start out as procedural or concrete and progress to include students' thoughts or ideas about mathematical concepts. This study aims to discuss five specific implications on how teachers can use prompting techniques to effectively maintain cognitively challenging discourse through moments of student silence.

• 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.

• 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.

• The Mathematical Education
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• v.52 no.1
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• pp.111-128
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• 2013

The purpose of this study was to examine and analyze the cognitive demand of the mathematical tasks suggested in the middle school textbooks. In particular, it aimed to reveal the overall picture of the level of cognitive demand of the mathematical tasks in the strand of geometry in the textbooks. We adopted the framework for mathematical task analysis suggested by Stein & Smith(1998) and analyzed the mathematical tasks accordingly. The findings from the analysis showed that 95 percent of the mathematical tasks were at high level and the rest at low level in terms of cognitive demand. Most of the mathematical tasks in the textbooks were algorithmic and focused on producing correct answers by using procedures. In particular, the high level tasks were presented at the end of each chapter or unit for wrap up rather than as key resources.

• Journal of the Korean Society for Library and Information Science
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• v.48 no.2
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• pp.379-398
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• 2014

This pilot study explored the effect of mental demand on a Web searcher's thoughts, emotions, efforts, and performance in Web searches in order to address whether or not there is any difference between searchers exposed to mental demand manipulation and searchers not exposed. Research data were collected via think-aloud protocol (TAP) with a dual-task in experiments and interviews with 10 subjects who participated in this study. For the searcher's thoughts, relevance judgment was found to be hindered by mental demand. For the searcher's emotions, the experimental group was more frustrated than the control group. With respect to the searcher's efforts, searchers for the experimental group with mental demand manipulation were more likely to spend more time, make fewer queries, and visit fewer pages but work harder to find more relevant information that they needed. Lastly, with regard to the searcher's performance, it is likely that performance was highly dependent upon the completion of the search tasks for both groups. The NASA-TLX six components and cognitive load scores of searchers did not make a significant difference in the outcome. The findings support the use of a dual-task methodology as a promising approach for the assessment of cognitive load induced by complex Web searches.

• School Mathematics
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• v.14 no.2
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• pp.213-232
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• 2012

The purpose of this study was to examine and analyze the cognitive demand of the mathematical tasks suggested in the middle school textbooks. In particular, it aimed to reveal the overall picture of the level of cognitive demand of the mathematical tasks on function in the textbooks. We adopted the framework for mathematical task analysis suggested by Stein & Smith (1998) and analyzed the mathematical tasks accordingly. The findings from the analysis showed that 95 percent of the mathematical tasks were at low level and the rest at high level in terms of cognitive demand. Most of the mathematical tasks in the textbooks were algorithmic and focused on producing correct answers by using procedures. In particular, the high level tasks were presented at the end of each chapter or unit for wrap up rather than as key resources.

• Journal of Educational Research in Mathematics
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• v.27 no.4
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• pp.615-637
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• 2017

The purpose of this study is to analyze the actual realization of the opportunity to learn given to students by examining students' cognition for enrichment mathematics textbook tasks' levels of cognitive demand. First, we analyze characteristics and limitations based on the theoretical framework. Second, we examine students' cognition about the distribution of the mathematics textbook tasks' levels of cognitive demand. And we analyze how the opportunity to learn actually work. Third, in the sense that enrichment textbooks are textbooks for science school students, we analyze whether the opportunity to learn for gifted is offered. The conclusion is as follows: First, with respect to levels of cognitive demand, PNC tasks account most. Second, students also cognize that PNC tasks account most. Third, tasks for gifted are not offered and students also cognize that opportunity to learn for gifted is lacked.

• ETRI Journal
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• v.42 no.4
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• pp.585-595
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• 2020

Integration of multiple communication technologies in a smart grid (SG) enables employing cognitive radio (CR) technology for improving reliability and security with low latency by adaptively and effectively allocating spectral resources. The versatile features of the CR enable the smart meter to select either the unlicensed or the licensed band for transmitting data to the utility company, thus reducing communication outage. Demand response management is regarded as the control unit of the SG that balances the load by regulating the real-time price that benefits both the utility company and consumers. In this study, joint allocation of the transmission power to the smart meter and consumer's demand is formulated as a two stage multi-armed bandit game in which the players select their optimal strategies noncooperatively without having any prior information about the media. Furthermore, based on historical rewards of the player, a real-time pricing adaptation method is proposed. The latter is validated through numerical results.

• Research in Mathematical Education
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• v.16 no.4
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• pp.245-263
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• 2012

The Korean mathematical curriculum has been changed three times during the resent five years. It led to changes in textbook system. In the 2007 revised mathematics curriculum, workbook was developed focusing on student's self-oriented learning, effective practice in differentiated classroom, and mathematics problem solving considering individual difference. This paper examines the characteristics of the tasks and the way the tasks are organized in the textbooks and the workbook in accordance with the 2007 revised mathematics curriculum; comparing with the function section before and after the amendment. Researchers examine whether the textbook and workbook were accomplished the purpose with "cognitive expectation", "level of cognitive demand", "and "response types". Researchers revised framework of [Son, J. W. & Senk, S. (2010). How reform curricula in the USA and Korea present multiplication and division of fraction. Educ. Stud. Math 74(2), 117-142] to make them suitable for the function section at the seventh grade.