• Journal for History of Mathematics
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• v.20 no.1
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• pp.57-72
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• 2007

Recently, dissection puzzles such as pentominoes have been used in mathematics education. But they are not actively applicable as a tool of problem solving or introducing mathematical concepts since researches about the historical background and developments of mathematical applications of such puzzles have not been effectively accomplished. In this article, in order to use pentominoes in mathematical teaming effectively, we first investigate geometric problems related to dissection puzzles and the historic background of development of pentominoes. And then we collect and classify data related to pentomino activities which can be applicable to mathematics classes based on the 7th elementary school national curriculum. Finally, we suggest several basic materials and directions to develop more systematic learning materials about pentominoes.

• School Mathematics
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• v.11 no.2
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• pp.281-299
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• 2009

In this paper, we show how dynamic manipulation environments can be integrated in the mathematics curriculum by presenting some pedagogical tasks manufactured by dynamic manipulation. These examples are composed to produce meaningful definitions through inductive experiments, to strengthen the thinking ability on continuity through the visualization, to make mathematics through investigation and finding, and to strengthen the ability of posing and generalizing problems. Through these examples students can observe the process of how mathematics is being invented, and they can experience how to solve mathematical problems using physical experiments in dynamic manipulation environments. When integration of dynamic manipulation into the teaching and learning of mathematics is applied, some difficulties can come out. To resolve such difficulties, a teacher must play the role of a co-worker of students in addition to the role of a scaffolder, coach, or close listener.

• 대한공업교육학회지
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• v.43 no.1
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• pp.158-176
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• 2018

The purpose of this study is to analyze the satisfaction of the manufacturing process and the satisfaction of manufacturing lesson in the lesson of model product manufacturing based on IoT(Internet of Things) for pre-service technology teachers. and we also analyzed 'smart farm' model production manufacturing among various products. The survey questionnaires with 8 questions to investigate satisfaction level of model manufacturing process, difficulties in manufacturing, and the satisfaction level of manufacturing lesson were collected from the 15 pre-service technology teachers and analyzed by using SPSS program. and The results of this study were as follows: First, the lesson satisfaction average level of pre-service technology teachers was high(M=4.22) in model product manufacturing process for the 'smart farm' model making based on the IoT. Second, the average satisfaction level of 'patent search and prior art search report writing education' was as high as 4.07. Therefore, the application of 'prior art search report writing education' showed that it helped to make the product. Third, the best high satisfaction level in the model production manufacturing procedure was 'education of inventive thinking method'(M=4.40). Therefore, the pre-service technology teachers showed that the 'education of inventive thinking methods' was very helpful from the idea design to the optimal selection of idea. The next order of satisfaction level was high(M=4.33) in 'design education and counseling' and 'guidance through selection of professor who guide the production manufacturing in addition to professors who are in charge of lesson'. Because they were helpful in solving the lack of knowledge of pre-service technology teachers. Fourth, satisfaction level with 'the presentation of model making results and exhibitions', 'presentations and participations of external event' was high (M = 4.13). Although the results of interviews with pre-service technology teachers showed that they suffered from lack of knowledge in various technologies, but it was an opportunity to learn things and felt a sense of accomplishment.

• Communications of Mathematical Education
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• v.29 no.1
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• pp.35-49
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• 2015

3D-Printing is one of the most innovative technologies that will be widely used in the 21st century. 3D-Printing also serves as an indispensable tool in STEAM education. In this article, we introduce what we have done in our mathematical modeling class in Uni. and recent R&E project under the support of Korean Foundation for the Advancement of Science and Creativity. We planned a model of STEAM education originating from our wish to make tangible models that use mathematical formulas to express the natural beauty of an object. We used a free, open-source software, Sage, to simulate these models online. Then, we created a program that generates a .STL file from these 3D images. This model can help students understand the natural beauty inherent in mathematics and use formulas and technology tools to simulate models in 3D. Finally, we were able to help students to create their own. STL files through a website we developed by adding Sage code into a Sage notebook. Then students can make and hold a 3D object of their very own. This process shows the possibility that mathematics, art and 3D-Printing can be effectively used to achieve the goals of STEAM education.

• 대한공업교육학회지
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• v.45 no.2
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• pp.70-85
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• 2020

The purpose of this study is to analyze the critical thinking level of activities in technology textbooks. For this purpose, we sampled 5 Technology-Home Economics textbooks of the 2015 revised curriculum and selected 187 activities in the textbooks. The main results of this study are as follows. First, the total score of the critical thinking level is 67.3, which is not high enough. The result of analyzing in the critical thinking level according to unit indicates that activities in units 'Construction(72.8)', 'Invention & Standard(70.4)', and 'Biotechnology & Appropriate Technology(70.4)' are higher score than those in other units, but activities in units 'Transportation & Energy(67.0)', 'Manufacturing(66.1)', and 'Information & Communication(57.0)'units are inadequate for inducing critical thinking. Second, the result of analyzing in the critical thinking level according to type of activity indicates that there is a difference between activities of 'theoretical type(69.3)' and 'practical type(61.5)'. Moreover activities in 'theoretical type' are inadequate for inducing critical thinking.

• Journal of Korean Elementary Science Education
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• v.39 no.3
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• pp.338-352
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• 2020

This study analyzed and compared the characteristics in plan and practice of elementary school teachers' science-gifted classes and invention-gifted classes based on pedagogical content knowledge (PCK). To do this, we selected eight elementary school teachers with experience in conducting elementary science-gifted classes and/or invention-gifted classes were selected at the gifted education institutes in Seoul and conducted individual in-depth interviews. The analysis of the results reveal that the teachers tended to organize the science-gifted classes with a focus on the exploration of causes and application activities for scientific phenomena, but tended to organize the invention-gifted classes with a focus on producing creative output based on methodology. They were all emphasizing the enhancement of creativity in planning and practicing both science-gifted classes and invention-gifted classes. However, there were also some differences in the elements of creativity required by each class. They tended to select subjects for science-gifted classes based on regular science curriculum, while selecting subjects for invention-gifted classes focused on creative design rather than considering the practical art curriculum related to invention-gifted education. They tended to pursue and practice STEAM education in both science-gifted classes and invention-gifted classes. In a way that conforms to these class goals and points, they were using experiments and practices, providing feedback to students, and conducting evaluations. However, some shortcomings were also revealed in the processes. Educational implications of these findings are discussed.

• Journal of the Korean Society of Earth Science Education
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• v.9 no.3
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• pp.243-254
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• 2016

This study investigated that internalized images of earth scientist's work of 110 high school students who complete a course in Earth Science I through drawing. As a result that reflected the character of earth science as a school subject, it is shown that nearly half of the students believe that earth scientist's working place is outside. An object of study is limited to such areas as astronomy and geology, it says that students has little understanding of areas of atmospheric and oceanic sciences. There are lots of answers that tools for working are telescope or microscope, it reveals a huge difference between the results of advanced research that analyzed the typical experimental devices, and students realized that working is not invention but survey. We should try students to recognize earth scientist as a job with relation to their future.

• School Mathematics
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• v.5 no.4
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• pp.521-540
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• 2003

The processes of mathematics development and the results of it are always those of making a conquest of the circumscription by historical inevitability within the historical circumscription. It is in this article that I try to show this processes through the history of calculus. This article develops on the basis of the dialectical materialism. It views the change and development as the facts that take place not by individual subjective judgments but by social-historical material conditions as the first conditions. The dialectical materialism is appropriate for explaining calculus treated in full-scale during the 17th century, passing over ahistorical vacuum after Archimedes about B.C. 4th century. It is also appropriate for explaining such facts as frequent simultaneous discoveries observed in the process of the development of calculus. 1 try to show that mathematics is social-historical products, neither the development of the logically formal symbols nor the invention by subjectivity. By this, I hope to furnish philosophical bases on the discussion that mathematics teaching-learning must start from the real world.

• School Mathematics
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• v.11 no.2
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• pp.243-260
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• 2009

In this paper, we have designed a teaching unit for the learning mathematising of secondary pre-service teachers by exploring generalized fibonacci sequences. First, we have found useful formulas for general terms of generalized fibonacci sequences which are expressed as combinatoric notations. Second, by using these formulas and CAS graphing calculator, we can help secondary pre-service teachers to conjecture and discuss the limit of the sequence given by the rations of two adjacent terms of an m-step fibonacci sequence. These processes can remind secondary pre-service teachers of a series of some mathematical principles.

• Journal of Gifted/Talented Education
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• v.15 no.1
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• pp.85-102
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• 2005

Some properties on the mathematical hyper-dimensional figures by 'the principle of the permanence of equivalent forms' was investigated. It was supposed that there are 2 conjectures on the making n-dimensional figures : simplex (a pyramid type) and a hypercube(prism type). The figures which were made by the 2 conjectures all satisfied the sufficient condition to show the general Euler's Theorem(the Euler's Characteristics). Especially, the patterns on the numbers of the components of the simplex and hypercube are fitted to Binomial Theorem and Pascal's Triangle. It was also found that the prism type is a good shape to expand the Hasse's Diagram. 5 mathematically gifted high school students were mentored on the investigation of the hyper-dimensional figure by 'the principle of the permanence of equivalent forms'. Research products and ideas students have produced are shown and the 'guided re-invention method' used for mentoring are explained.