• Journal of Educational Research in Mathematics
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• v.17 no.4
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• pp.453-475
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• 2007

School algebra starts with introducing algebraic expressions which have been one of the cognitive obstacles to the students in the transfer from arithmetic to algebra. In the recent studies on the teaching school algebra, algebraic thinking is getting much more attention together with algebraic expressions. In this paper, we examined the processes of the transfer from arithmetic to algebra and ways for teaching early algebra through algebraic thinking factors. Issues about algebraic thinking have continued since 1980's. But the theoretic foundations for algebraic thinking have not been founded in the previous studies. In this paper, we analyzed the algebraic thinking in school algebra from historico-genetic, epistemological, and symbolic-linguistic points of view, and identified algebraic thinking factors, i.e. the principle of permanence of formal laws, the concept of variable, quantitative reasoning, algebraic interpretation - constructing algebraic expressions, trans formational reasoning - changing algebraic expressions, operational senses - operating algebraic expressions, substitution, etc. We also identified these algebraic thinking factors through analyzing mathematics textbooks of elementary and middle school, and showed the middle school students' low achievement relating to these factors through the algebraic thinking ability test. Based upon these analyses, we argued that the readiness for algebra learning should be made through the processes including algebraic thinking factors in the elementary school and that the transfer from arithmetic to algebra should be accomplished naturally through the pre-algebra course. And we searched for alternative ways to improve algebra curriculums, emphasizing algebraic thinking factors. In summary, we identified the problems of school algebra relating to the transfer from arithmetic to algebra with the problem of teaching algebraic thinking and analyzed the algebraic thinking factors of school algebra, and searched for alternative ways for improving the transfer from arithmetic to algebra and the teaching of early algebra.

• Journal of Korean Philosophical Society
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• v.142
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• pp.145-164
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• 2017

In his Phenomenology of Perception, Merleau-Ponty raises a question of why he has to ask what phenomenology is again. This study assumes that the question can be answered in a new understanding of the "nature" concept and finds its possible grounds in the nature concepts of Schelling and Merleau-Ponty. Schelling and Merleau-Ponty develop philosophical thinking from a critical point of view on the Cartesian and Kantian philosophies "Thing-in-itself" by Kant is, in particular, one of important questions that has to be answered in the philosophy of Schelling since Kant further solidifies a dualistic world by leaving thing-in-itself. Schelling solves the question with the concept of identity and Merleau-Ponty solves the question with body-subject. What we notice in this article is the understanding of Shelling and Merleau-Ponty about nature. Schelling believes there are the creative activities of unconscious intelligence in nature, but spirit or intelligence in his nature concept cannot induce an existential being. Here we see that Schelling is still beyond the traditional epistemological framework. To restore the original nature of nature, we must begin with an understanding of the totality of nature. Nature must also be explained through relationships with humans. Merleau-Ponty shows the entanglement of nature and spirit through the body-subject. In Merleau-Ponty's phenomenology, the body is the equivalent of nature. Understanding the forces of nature that Schelling and Merleau-Ponty are trying to show, and at the same time explaining the problem of how the mind or human beings emerge from nature, we will be able to discover the true nature of nature.

• Journal of The Korean Association For Science Education
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• v.42 no.1
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• pp.111-125
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• 2022

This study aims to investigate the effects of the ENACT project on promoting pre-service science teachers (PSTs)' views on the social responsibility of scientists and engineers. The ENACT project was designed to cultivate the social responsibility by integrating the theoretical framework of socioscientific issues (SSIs) education with problem-based inquiry approaches for the resolution of the issues. Thirty-two PSTs voluntarily participated in the project and completed the five stages over three months. Data was collected through a questionnaire to measure PSTs' view of the social responsibility of scientists and engineers (VSRoSE) and focus-group interviews. Results indicate that the PSTs presented statistically significant changes in their views of the social responsibility after the ENACT project. The mean scores of the five sub-dimensions of VSRoSE significantly increased. The interviews also supported that the PSTs had opportunities to seriously consider the social responsibility of scientists and engineers through epistemological exploration of science and technology (Cycle I), and problem-solving and action-taking (Cycle II). In particular, they agreed more on such responsibilities as consideration of societal needs and demands, pursuit of the common good, civic engagement and services using their expertise, communications with the public regarding potential risks, and participation in policy decision-making related to science and technology advances. Educational implications for SSI education and teacher education were suggested.

• Journal of the Korean Society of Earth Science Education
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• v.15 no.3
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• pp.354-372
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• 2022

The purpose of this study is to explore the philosophical position of various scientific theories based on the scientific worldviews for science education. In addition, it aims to expand science education, which has usually dealt with epistemology and methodology, to ontology, that is, to the problem of metaphysics. It can be said that there exists a physical realism, traditionally defined as a strong determinism of the metaphysical belief. That is fixed and unchanging objective scientific knowledge independent of our minds, which was established by Newton, Einstein and Schridinger. What can be seen in the natural laws of dynamics can be called 'mathematicization'. Einstein also shook the traditional views to some extent through the theory of relativity, but his theory was still close to traditional thinking. On the contrary, to escape from this rigid determinism, we need anthropomorphic concepts such as 'possibility' and 'chance'. It is a characteristic of the modern scientific worldviews that leads the change of scientific theory from a classically strong deterministic thought to a weak deterministic accidental accident, probability theory, and a naturalistic point of view. This can be said to correspond to Darwin's theory of evolution and quantum mechanics. We can have three types of epistemological worlds that justify this ontological worldviews. These are rationalism, empiricism and naturalism. In many cases, science education does not tell us what kind of metaphysical beliefs the scientific theories we deal with in the field of education are based on. Also, science education focuses only on the understanding of scientific knowledge. However, it can be said that true knowledge can bring understanding only when it is connected to the knowledge of learned knowledge and the learner's own metaphysical belief in the world. Therefore, in the future, science education needs to connect various scientific theories based on scientific worldviews and philosophical position and present them to students.