• School Mathematics
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• v.10 no.4
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• pp.583-601
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• 2008

The creative productivity is regarded as an essential factor to perform the gifted education. While it is very important to cultivate and to expand a creative productivity through mathematically problem solving in gifted education, we have difficulties in actual education of the (mathematically) gifted, even are there few researches/studies which deal with teaching and guiding the creative problem solving in mathematically gifted education, it is hard to find a guideline that provides proper ways (or directions) of learning-instruction and evaluation of the mathematically gifted. Therefore in this study, the researcher would provide a learning-instruction model to expand a creative productivity. The learning-instruction model which makes the creative productivity expanded in mathematically gifted education is developed and named MG-CPS(Mathematically Gifted-Creative Problem Solving). Since it reflected characteristics of academic- mathematical creativity and higher thinking level of the mathematically gifted, this model is distinguished from general CPS. So this model is proper to provide a learning experience and instruction to the mathematically gifted.

• The Mathematical Education
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• v.42 no.4
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• pp.453-463
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• 2003

The main purpose of this paper is to develope elementary mathematics teaching-learning programs for pre-service elementary teachers. The elementary mathematics education program developed in this work is divided into two parts: One is the theory, the other is the practice. The theory deals with the foundations of mathematics, the objectives of mathematics education, the history of mathematics education in Korea, the psychology of mathematics learning, the theories of mathematics teaching and learning, and the methods of assessment. With respect to the practice, this study examines the background knowledge and activities of numbers and their operation, geometry, measurement, statistics and probability, pattern and function.

• The Mathematical Education
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• v.61 no.1
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• pp.157-178
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• 2022

Mathematics teachers' content knowledge is an important asset for effective teaching. To enhance this asset, teacher's knowledge is required to be diagnosed and developed. In this study, we employed problem-posing and problem-solving tasks to diagnose preservice teachers' understanding of fraction multiplication. We recruited 41 elementary preservice teachers who were taking elementary mathematics methods courses in Korea and the United States and gave the tasks in their final exam. The collected data was analyzed in terms of interpreting, understanding, model, and representing of fraction multiplication. The results of the study show that preservice teachers tended to interpret (fraction)×(fraction) more correctly than (whole number)×(fraction). Especially, all US preservice teachers reversed the meanings of the fraction multiplier as well as the whole number multiplicand. In addition, preservice teachers frequently used 'part of part' for posing problems and solving posed problems for (fraction)×(fraction) problems. While preservice teachers preferred to a area model to solve (fraction)×(fraction) problems, many Korean preservice teachers selected a length model for (whole number)×(fraction). Lastly, preservice teachers showed their ability to make a conceptual connection between their models and the process of fraction multiplication. This study provided specific implications for preservice teacher education in relation to the meaning of fraction multiplication, visual representations, and the purposes of using representations.

• Journal of the Korean Geographical Society
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• v.46 no.4
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• pp.534-553
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• 2011

Analogical thinking is a problem-solving strategy to use a familiar problem (or base analog) to solve a novel problem of the same type (the target problem). The purpose of this study is to provide new insight into geography teaching and learning by connecting cognitive science research on analogical thinking with issues of geography education and suggest that teaching with analogies can be a productive instructional strategy for geography. In this study, using the various examples of analogical thinking used in geography we defined analogical thinking, addressed the theoretical models on analogical transfer, and discussed conditions that make an effective analogical transfer. The major research findings include the following: a) the spatial analogy, indicating skills to find places that may be far apart but have similar locations, and therefore have other similar conditions and/or connections, can provide a useful way to design contents for place learning; b) representational transfer, specifying a common representation for two problems, can play a key role in solving geographic problems requiring data visualization and spatialization processes; and c) either asking learners to compare/analyze similar examples sharing common structure or providing them examples bridging the gap between concrete, real-life phenomena and the ideas and models can contribute to learning in geographic concepts and skills. The spatial analogy requiring both geographic content knowledge and visual/spatial thinking has the potential to become a content-specific problem-solving strategy. We ended with recommendations for future research on analogy that is important in geography education.

• Journal of Korean Elementary Science Education
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• v.38 no.3
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• pp.395-405
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• 2019

The purpose of this study is to analyze the process of creative science problem solving (CSPS) in elementary school students. To do this, 6 graders (n=9) at a elementary school in Seoul were participated. In this study, fixed eye-tracker with 250 Hz sampling and observation camera were used. The results of this study, the students with higher ability to solve creative science problems had a slower saccade, and had more visual attention on core clues and a greater number of eye changes. Therefore, students with higher ability to solve creative science problems showed more effective eye movement and faster information processing to solve problems. The CSPS types of elementary students were classified as 'declarative knowledge type', 'procedural knowledge type', 'conditional knowledge type', 'knowledge lack type'. Because each type appears to be complementary, CSPS process for elementary students who have integrated the four types was devised. The results of this study can be used as basic data for understanding elementary school students' CSPS and will help to develop and guide creative science teaching and learning programs useful to elementary school students and science gifted students.

• The Mathematical Education
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• v.63 no.2
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• pp.233-254
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• 2024

This paper delves into the symbiotic integration of coding and mathematics education, aimed at cultivating computational thinking and enriching mathematical problem-solving proficiencies. We have identified a corpus of scholarly articles (n=38) disseminated within the preceding two decades, subsequently culling a portion thereof, ultimately engendering a contemplative analysis of the extant remnants. In a swiftly evolving society driven by the Fourth Industrial Revolution and the ascendancy of Artificial Intelligence (AI), understanding the synergy between these domains has become paramount. Mathematics education stands at the crossroads of this transformation, witnessing a profound influence of AI. This paper explores the evolving landscape of mathematical cognition propelled by AI, accentuating how AI empowers advanced analytical and problem-solving capabilities, particularly in the realm of big data-driven scenarios. Given this shifting paradigm, it becomes imperative to investigate and assess AI's impact on mathematics education, a pivotal endeavor in forging an education system aligned with the future. The symbiosis of AI and human cognition doesn't merely amplify AI-centric thinking but also fosters personalized cognitive processes by facilitating interaction with AI and encouraging critical contemplation of AI's algorithmic underpinnings. This necessitates a broader conception of educational tools, encompassing AI as a catalyst for mathematical cognition, transcending conventional linguistic and symbolic instruments.

• Education of Primary School Mathematics
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• v.17 no.2
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• pp.127-157
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• 2014

The purpose of the study is to enhance the figure analysis ability for pre-service elementary teacher by using GSP. To do this, we limited to teaching competence divide into ability various problem-solving, extract key elements, predict the difficulty of student and investigated the initial of them, the reality of GSP construction. As results, pre-service elementary teachers made errors, proposed teaching focused on the character using in the problem solving, and found that in one particular difficulties to find the students. The reality of GSP construction activity was possible to explore through the partially constructed a number of various properties, but we found to have difficulty in the connection between concepts. and integrated view of the problem analysis. After visual identification and exploration through the GSP construction, problem-solving ability became a little more variety and changed their direction in order to focus the student's anticipated difficulties. From these results, we could extract some pedagogical implications helping pre-service teachers to reinforce teaching competence by GSP construction.

• English Language & Literature Teaching
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• v.18 no.1
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• pp.153-169
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• 2012

This study reviews an English enhancement course implemented for medical and nursing college students of 2011 to improve their standardized English test scores. A total of 117 first-year students underwent the pre-test and the post-TOEIC in November 2011. After the pre-test, lectures on listening enhancement strategies and problem solving tactics on reading comprehension were supplemented with 4 times of enhancement-tests. Their pre- and post-TOEIC results were compared to see if such enhancement strategies were effective to improve their TOEIC scores. It was further to investigate, through survey questionnaires, how the subjects felt about a number of pre-test-type TOEIC exercise with what-to-listen and how-to-infer listening strategies and pattern-drill practices for reading comprehension. It was found that the scores of listening comprehension improved significantly for both major students whereas reading scores showed slight decrease among nursing majors. It is concluded that administering numerous pre-test-type-TOEIC exercise is effective for students to improve their listening scores supplemented with listening strategies Also, students' response showed positive toward the enhancement course.

• Education of Primary School Mathematics
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• v.16 no.2
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• pp.147-162
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• 2013

This is an in-dept case study that extract the problems showing remarkable gender gap in 6th graders and analyze the difference between boys and girls in the process of problem solving. This study can be summarized as the following. First, according to the result of basic study, the parts are divided into measurement, probability and statistics and regularity. And then test problems and face-to-face talk contents are developed. Second, the distinct features between boys and girls, follow-up study and face-to-face talk. As a result, five characteristics of gender gap are selected. Through the results of this study, the improvement of teaching & learning development and evaluation considering gender is expected in the classrooms of elementary schools.

• Hwankyungkyoyuk
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• v.12 no.1
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• pp.378-390
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• 1999

The purpose of this study is to investigate what are objects in environmental education and to develop the teaching model for environmental education. The major objects of environmental education is how to teach students who not only take knowledge/skill, but also change their behavior with responsibility for environment. In order to change students' behaviors for environment, Hungerford recommended that teachers have teaching strategies with recognition, evaluation, and adaptation. Also, McCarthy developed teaching model to engage immediate personal meaning, to raise intellectual awareness of a concept, to enhance skills that students can use in their lives, and to foster personal adaptations. Based on the Hungerford's teaching strategies, and Mccarthy's 4MAT system, a teaching model is developed to encourage thinking skill, problem-solving ability, interesting, and participation in the class. The basic steps of the teaching model in this study are experience/recognition, knowledge/skill, evaluation, and adaptation/new experience and 8 sub-steps for instructional methodologies are developed to match of all students' learning style types in a classroom. This model will make it possible to raise the efficiency of instruction, and contribute to changing students who have responsibilities for their environmental behaviors. This model will be supplemented in schools, and applied to developing other instructional issues.