• The Mathematical Education
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• v.46 no.3
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• pp.331-349
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• 2007

This study aims to improve the teaching and learning method on the conic sections. To do that the researcher analyzed the impact of dynamic geometry software on students' problem solving of the conic sections. Students often say, "I have solved this kind of problem and remember hearing the problem solving process of it before." But they often are not able to resolve the question. Previous studies suggest that one of the reasons can be students' tendency to approach the conic sections only using algebra or analytic geometry without the geometric principle. So the researcher conducted instructions based on the geometric and historico-genetic principle on the conic sections using dynamic geometry software. The instructions were intended to find out if the experimental, intuitional, mathematic problem solving is necessary for the deductive process of solving geometric problems. To achieve the purpose of this study, the researcher video taped the instruction process and converted it to digital using the computer. What students' had said and discussed with the teacher during the classes was checked and their behavior was analyzed. That analysis was based on Branford's perspective, which included three different stage of proof; experimental, intuitive, and mathematical. The researcher got the following conclusions from this study. Firstly, students preferred their own manipulation or reconstruction to deductive mathematical explanation or proving of the problem. And they showed tendency to consider it as the mathematical truth when the problem is dealt with by their own manipulation. Secondly, the manipulation environment of dynamic geometry software help students correct their mathematical misconception, which result from their cognitive obstacles, and get correct ones. Thirdly, by using dynamic geometry software the teacher could help reduce the 'zone of proximal development' of Vigotsky.

• Journal of Korean Elementary Science Education
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• v.34 no.1
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• pp.46-57
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• 2015

The purpose of this study was to analyze the writing styles and features of science writing by using science notebook for elementary school science gifted. The subject of this study was 37 sixth grade elementary school science gifted in P city. The preliminary 1 hour instruction was conducted to explain the usage of science notebook. The summarized activity using science notebook was conducted for 20 minutes following 4 hour lesson. These activities were performed for 8 times. As the result of this study, in The content which is learned today (main learning content)' which is one of components of science note, the writing appears the most frequently in external expression types and features of scientific writing, followed by writing+drawing, drawing, cartoon, writing+cartoon, mind map, table. Science writing which uses inductive thinking appears the most frequently in internal expression types and features of scientific writing, followed by deductive thinking, creative thinking. Among the components of science note, 'thinking and feeling', 'question,' 'one's own thinking of question' which are the components of science note promote the reflective thinking of elementary school student gifted for science.

• Journal of The Korean Association For Science Education
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• v.15 no.4
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• pp.394-403
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• 1995

The purpose of this study was to find out and analyze the science teacher's teaching methods. A total of 35 teaching methods were abstracted from the previous studies and the relating literatures. An instrument to measure the frequencies of using methods was developed and then tested to middle school science teachers. The Results of two factor analysis methods were compared. The results are as follows: The instruments's reliablity coefficient(Cronbach ${\alpha}$) was 0.7707. The teaching methods which middle school science teachers have used frequently were represented as the proposing of the learning objectives, the deductive teaching, the experimental activities by teacher's guide, the summarization after explanation, the reading text etc. Also, it was revealed that they have not use the diagnostic evaluation, the formative evaluation, the experimental activities by student's design, the instructional medium. By confirmatory factor analysis, the 1st factor included 13 teaching methods and 2nd and 3rd factor included 9 and 7 methods respectedly. The meaning of 1st factor was interpreted to stimulate student's learning motives. And the other's were about the development of instruction. In exploratory factor analysis factors were overlapped or more fined. These were due to the structure of factors.

• Journal of Educational Research in Mathematics
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• v.8 no.1
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• pp.59-71
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• 1998

Recently, most classrooms in Korea are fully equipped with multimedia environments such as a powerful pentium pc, a 43″large sized TV, and so on through the third renovation of classroom environments. However, there is not much software teachers can use directly in their teaching. Even with existing software such as GSP, and Mathematica, it turns out that it doesn####t fit well in a large number of students in classrooms and with all written in English. The study is to analyze the characteristics of problem-solving process and to develop a computer program which integrates the instruction of problem solving into a regular math program in areas of quadratic functions and ellipses. Problem Solving in this study included two sessions: 1) Learning of basic facts, concepts, and principles; 2) problem solving with problem contexts. In the former, the program was constructed based on the definitions of concepts so that students can explore, conjecture, and discover such mathematical ideas as basic facts, concepts, and principles. In the latter, the Polya#s 4 phases of problem-solving process contributed to designing of the program. In understanding of a problem, the program enhanced students#### understanding with multiple, dynamic representations of the problem using visualization. The strategies used in making a plan were collecting data, using pictures, inductive, and deductive reasoning, and creative reasoning to develop abstract thinking. In carrying out the plan, students can solve the problem according to their strategies they planned in the previous phase. In looking back, the program is very useful to provide students an opportunity to reflect problem-solving process, generalize their solution and create a new in-depth problem. This program was well matched with the dynamic and oscillation Polya#s problem-solving process. Moreover, students can facilitate their motivation to solve a problem with dynamic, multiple representations of the problem and become a powerful problem solve with confidence within an interactive computer environment. As a follow-up study, it is recommended to research the effect of the program in classrooms.

• Journal of Educational Research in Mathematics
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• v.19 no.4
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• pp.479-491
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• 2009

This paper researches the possibility of introducing Descartes' theorem to mathematically gifted students. Not only is Descartes' theorem logically equivalent to Euler's theorem but is hierarchically connected with Gauss-Bonnet theorem which is the core concept on differential geometry. It is possible to teach mathematically gifted students Descartes' theorem by generalizing mathematical property in solid geometry through analogical reasoning, that is, so in a polyhedrons the sum of the deficient angles is $720^\circ$ as in an polygon the sum of the exterior angles is $360^\circ$. This study introduces an alternative method of instruction that we enable mathematically gifted students to reinvent Descartes' theorem through analogical reasoning instead of deductive reasoning.

• Education of Primary School Mathematics
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• v.13 no.2
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• pp.85-97
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• 2010

The purpose of this study is to develop a teaching program in consideration of the geometrical thinking levels of students to make a contribution to teaching figures effectively. To do this, we checked the geometrical thinking levels of fourth-graders, developed a teaching program based on van Hiele's theory, and investigated its effect on their geometrical thinking levels. The teaching program based on van Hiele's theory put emphasis on group member interaction and specific activities through offering various geometrical experiences. It contributed to actualizing activity-centered, student-oriented, inquiry-oriented and inductive instruction instead of sticking to expository, teacher-led and deductive instruction. And it consequently served to improving their geometrical thinking levels, even though some students didn't show any improvement and one student was rather degraded in that regard - but in the former case they made partial progress though there was little marked improvement, and in the latter case she needs to be considered in relation to her affective aspects above all. The findings of the study suggest that individual variances in thinking level should be recognized by teachers. Students who are at a lower level should be given easier tasks, and more challenging tasks should be assigned to those who are at an intermediate level in order for them to have a positive self-concept about mathematics learning and ultimately to foster their thinking levels.

• Journal of the Korean earth science society
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• v.31 no.7
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• pp.785-797
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• 2010

This study identified the linguistic features of Earth science treatises through the analysis of the register. Data included three Korean treatises that were in geology, atmospheric science, and oceanography. The register of Earth science treatise was as follows: First, there were semantic, referential connections between Themes and Rhemes, that the messages and main points of the texts were expressed coherently and cohesively. Second, some predicates were used which were related to deductive inference, abductive inferences, or causal relation according to the genre elements of each text. The logical relations were not represented by the conjunctions but by the types of predicates. Third, most texts in the treatises showed interpersonally weak relationship using mental predicates related to possibilities, which meant scientists expressed indirectly their interpretation, explanation, or arguments. From these results, we argued that some activities of unpacking the language of science be included in science curriculum in order to improve students' literacy of science texts and understanding scientists' knowledge construction.

• Journal of the Korean earth science society
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• v.38 no.3
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• pp.222-238
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• 2017

The purpose of this study is to explore a learning progression for integrated process skills in Earth science inquiry. For the purpose, a hypothetical learning progression (HLP) that capture how students' integrated process skills of science become sophisticated over time is developed through the literature review. This learning progression contains four components of the integrated process skills of science: designing inquiry, collecting data, analyzing data, and forming conclusion. Three hypothetico-deductive inquiry tasks of Earth science that start from recognition of the given problem to the forming conclusion are developed in order to document students' integrated process skills. A total of 126 students from middle, high, college level students participated in this study. After conducting the Earth science inquiry tasks, the integrated process skills of individual students are assessed by element based on HLP. In addition, the validation process for HLP was administered by applying the Rasch model using the students' assessment data. Finally, based on the analyzed data, the empirical learning progression (ELP) is developed by revising and supplementing the HLP. This study can help to find scaffolding methods to effectively improve the students' integrated process skills in Earth science inquiry class by identifying the factors that affect students' development of integrated process skills. It also provide implications for improving teachers' PCK of Earth science inquiry instruction.

• Journal of The Korean Association For Science Education
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• v.39 no.4
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• pp.545-562
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• 2019

The purpose of this study is to develop cognitive scaffolding tools and to explore their effects on integrated science process skills of high school students. For this purpose, we developed cognitive scaffolding tools including one kind of classroom instruction for training integrated process skills and two kinds of individual learning materials that students can selectively study according to their level of inquiry ability. In addition, we developed hypothetico-deductive inquiry tasks as a tool to investigate the level of students on the integrated process skills for pre-test and post-test respectively. In order to verify the effectiveness of the cognitive scaffolding tools, we conducted inferential statistics on the pre-and post-tests of the experimental group and control group to examine statistical significance of students' inquiry level change depending on the usage of the cognitive scaffolding tools. We also produced Wrightmaps based on Rasch model to compare the change of inquiry ability depending on usage of the cognitive scaffolding tools. As a result, the experimental group using the cognitive scaffolding tools showed a significantly higher scores in all the components of integrated process skills namely, designing inquiry, collecting data, analyzing data, and forming conclusion than the control group. In addition, students who used cognitive scaffolding tools improved their inquiry ability and showed a distinct transition to higher level in each component of the integrated process skills. The results of this study suggest that high school students need cognitive scaffolding to alleviate or eliminate the functional barriers they face in conducting scientific inquiries.

• Journal of the Korean Chemical Society
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• v.66 no.6
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• pp.472-492
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• 2022

The purpose of this study was to investigate secondary science teachers' PCK components and subcomponents that are specific to online and offline learning environment. Data collection consisted of survey, class observation, and individual interviews of twelve science teachers. This study used a theoretical framework of PCK for deductive data analysis and articulated codes and themes through the following inductive analysis. Data analysis revealed that each of PCK components showed different specificity to the online and offline learning environment. And subcomponents of each PCK component were different according to the specificity of the online and offline learning environment. Teaching orientation toward science had a specific orientation for the online learning environment, i.e., 'learning science concept' and 'lecture centered instruction.' Knowledge of the science curriculum had online-offline mixed learning environment specific knowledge, i.e., 'reorganization of curriculum' and online learning environment specific knowledge, i.e., 'development of learning goal' and 'science curricular materials.' Knowledge of science teaching strategies had online learning environment specific knowledge, i.e., 'topic-specific strategy', 'subject-specific strategy', and 'interaction strategy' and COVID-19 offline learning environment specific knowledge, i.e., 'topic-specific strategy' and 'interaction strategy'. Knowledge of student science understanding had online learning environment specific knowledge, i.e., 'student preconception', 'student learning difficulty', 'student motivation and interest', and 'student diversity' and COVID-19 offline learning environment specific knowledge, i.e., student learning difficulty'. Knowledge of science assessment had online-offline mixed learning environment specific knowledge and online learning environment specific knowledge, i.e., assessment contents and assessment methods for each.