• Journal of the Korean School Mathematics Society
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• v.24 no.1
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• pp.39-57
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• 2021

In this study, mathematical analysis is conducted by focusing to the 'size' of the 'point' and the 'line'. The textbook descriptions of the 'point' and the 'line' in the geometry content area of middle school mathematics 1 by the 2015 revised Korean mathematics curriculum and US geometry textbooks were compared and analyzed between. First, as a result of mathematical analysis of' 'the size of a point and a segment', it was found that the mathematical perspectives could be different according to 1) the size of a point is based on the recognition and exclusion of 'infinitesimal', and 2) the size of the segment is based on the 'measure theory' and 'set theory'. Second, as a result of analyzing textbook descriptions of the 'point' and the 'line', 1) in the geometry content area of middle school mathematics 1 by the 2015 revised Korean mathematics curriculum, after presenting a learning activity that draws a point with 'physical size' or line, it was developed in a way that describes the 'relationship' between points and lines, but 2) most of the US geometry textbooks introduce points and lines as 'undefined terms' and explicitly states that 'points have no size' and 'lines have no thickness'. Since the description of points and lines in the geometry content area of middle school mathematics 1 by the 2015 revised Korean mathematics curriculum may potentially generate mathematical intuitions that do not correspond to the perspective of Euclid geometry, this study suggest that attention is needed in the learning process about points and lines.

• The Journal of the Korea Contents Association
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• v.16 no.10
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• pp.364-372
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• 2016

The purpose of this study was to investigate preservice mathematics teachers' perceptions for mathematics digital textbook. To do this, we provided a questionnaire to 52 preservice mathematics teachers and analysed the questionnaires. The questionnaire was investigated using 5 point scale. The results of this study can be summarized as follows. First, the preservice mathematics teachers' perception on effectiveness of mathematics digital textbook was positive. Second, the preservice mathematics teachers' perception on interaction of mathematics digital textbook was normal. Third, the preservice mathematics teachers' perception on interest of mathematics digital textbook was positive. Fourth, the preservice mathematics teachers' perception on students' health of mathematics digital textbook was normal. Fifth, the preservice mathematics teachers' perception on class-management of mathematics digital textbook was normal. Sixth, some preservice mathematics responded that mathematics digital textbook was efficient to teach a function or a geometry, others responded that paper textbook was more efficient to teach a mathematics.

• Journal of Korean Elementary Science Education
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• v.23 no.1
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• pp.85-91
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• 2004

The illustrations in elementary science textbooks and experimental workbooks based on the 7th national curriculum were analyzed for gender-role stereotyping, and compared with those of the 6th curriculum. The frequencies of men and women who appeared on text illustrations were counted and the types of roles assigned to males and females were investigated. The results were as follows. 1) The 7th national curriculum textbooks contained double the numer of illustrations in the textbooks based on the 6th curriculum. 2) Boys and girls were illustrated in 'learning activities' with equal frequency, but boys were more frequently represented than girls in illustrations of 'other' activities. 3) Both boys and girls were generally depicted in 'active' processes and the ratio of 'passive girl' illustrations decreased as compared with the 6th national curriculum. 4) Male adults were more frequently represented than female adults in both textbooks and experimental workbooks. 5) 40% of female adults were illustrated doing housework, while male adults were rarely illustrated in such a role.

• Journal of Elementary Mathematics Education in Korea
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• v.21 no.4
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• pp.547-574
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• 2017

The purpose of analysis of foreign curriculums and textbooks is to aimed to get the implications for the revision of curriculum, publishment of textbooks and teaching mathematics. In this study, Common Core State Standards and its textbooks was analyzed. The U. S. doesn't have the national mathematics curriculum. So, it can be happen some problems: students' lower mathematical achievement, assessment policy, decision of teaching contents, etc. In 2010, Common Core State Standards was developed by states. Furthermore, The California Department of Education reshaped standards: CA-CCSSM. This study analyzed the contents of fraction in CA-CCSSM and its textbooks. Fraction has many concepts and methods and models in teaching process. This study analyzed the equal parts, introducing fraction concept, the types of fraction, equivalent fractions, comparison of fractions. The conclusions are as follows; The equal parts are the important concept of fraction and introduced in geometry area before teaching of fraction. CA-CCSSM aims to understand a fraction as a number on the number line and represent fractions on a number line diagram. There are some similarity and difference in mixed number, fractions as a division and ratio, equivalent fractions and comparison of fractions between Korean curriculum and textbooks and CA-CCSSM.

• Journal for History of Mathematics
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• v.22 no.4
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• pp.53-66
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• 2009

The east-asian mathematics is highly evaluated in mathematics education. In this paper, we search the geometric problems of east-asian mathematics in high school textbooks and various examinations and investigate how to use such problems. We also confirm that the geometric problems of east-asian mathematics can be widely used as real life materials for introducing new mathematical topics, real life applications for mathematical topics, and valuable source for mathematical discourse.

• Journal of the Korean School Mathematics Society
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• v.14 no.3
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• pp.325-337
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• 2011

There have been several studies regarding strict and formal proof in the field of geometry in middle school curriculum, and the level of proof has been gradually lowered along with the changes in the curriculum. In the 2011 Revised Middle School Math Curriculum, there have been efforts to eliminate the term 'proof' and instead to replace it with the new one, 'justification'. Therefore, this study intends to present specific and practical examples of justification by analyzing the current math textbook especially in the field of geometry. As a result, it identified that strict and practical proof has been sharply increased in the second year of middle school. It also witnessed the possibility of justification from the various examples presented in the first, second, and the third year of the middle school math textbook.

• Journal of Educational Research in Mathematics
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• v.14 no.1
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• pp.111-127
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• 2004

In this note we examined some terms, parallel lines and angles in elementary school mathematics and middle school mathematics respectively. Since some terms are represented early in elementary school mathematics and not repeated after, some students are not easy to apply the terms to their lesson. Also, since the relation between parallel lines and angles are treated intuitively in 7-th grade, applying the relation for a proof in 8-th grade would be meaningless. For the variety of mathematics education, it is desirable that the relation between parallel lines and angles are treated as postulate. Also, for out standing students, it is desirable that we use deductive reasoning to prove the relation between parallel lines and angles as a theorem. In particular, the treatments of vertical angles and the relation between parallel lines and angles in 7-th grade text books must be reconsidered. Proof is very important in mathematics, and the deductive reasoning is necessary for proof. It would be efficient if some properties such as congruence of vertical angles and the relation between parallel lines and angles are dealt in 8-th grade for proof.

• Journal of the Korean Chemical Society
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• v.48 no.6
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• pp.645-653
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• 2004

The purpose of this study was to compare and analyze the cognitive levels of 11th grade students and those required in high school chemistry I textbooks standardized by the 7th national education curriculum. For this study, the cognitive development stages of 456 11th grade students were surveyed using short-version GALT (group assessment of logical thinking). Furthermore, 15 basic concepts were extracted from the contents on water and air, 2 units in chemistry I order to analyze the cognitive levels necessary for understanding high school textbooks, using CAT (curriculum analysis taxonomy). The results showed that 52.5% of the surveyed 11th grade students reached the formal operational level, 28.3% transitional levels, and 19.5% concrete operational levels. 68.9% of the academic high school students and 6.6% of the technical high school students reached the formal operational levels, and the ratio of formation was very different in each logics. As a result of the analyzing the cognitive levels needed for understanding chemistry I textbook contents, in spite of a change in national education curriculum, there were no great change in cognitive levels required by scientific concept except some inquiry activities. The cognitive levels in high school chemistry I textbooks by the 7th national education curriculum appeared higher than the cognitive levels of 11th grade student, but cognitive levels of inquiry activities were similar to the cognitive levels of the students. Chemistry teachers thought of chemistry I textbooks by the 7th national education curriculum as desirable because scientific concepts were reduced and a lot of real life materials were adapted. However, they pointed out a problem of difference in contents levels compared with chemistry I textbooks because scientific concepts were greatly reduced in chemistry I textbooks. The cognitive levels required in chemistry I textbooks still appeared higher than those of the students. Consequently, various teaching and learning methods and materials will have to be developed to be suitable for the students' cognitive levels.

• The Journal of Korean Association of Computer Education
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• v.13 no.2
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• pp.35-43
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• 2010

The "Information and Communication Technology Education Guidelines" was revised in December, 2005. However, students are still not taught the contents in the "Information and Communication Technology Education Guidelines Rev." and are not taught the contents in the "Understanding of the Information Processing" area among them in particular. Therefore, we analyzed the contents in the "Understanding of the Information Processing" area of the elementary ICT textbooks published on and after June 2006. In the result, the contents of many textbooks are not based on the "Information and Communication Technology Education Revised Guidelines" and programming languages using elementary school are too many. The revision of the elementary ICT textbooks must be settled without delay and the certification systems of elementary ICT textbooks must be improved.

• Education of Primary School Mathematics
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• v.11 no.2
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• pp.141-159
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• 2008

The purpose of this study id to delve into how elementary mathematics textbook deal with the quadrilaterals from a view of Didactic Transposition Theory. Concerning the instruction period and order, we have concluded the following: First, the instruction period and order of quadrilaterals were systemized when the system of Euclidian geometry was introduced, and have been modified a little bit since then, considering the psychological condition of students. Concerning the definition and presentation methods of quadrangles, we have concluded the following: First, starting from a mere introduction of shape, the definition have gradually formed academic system, as the requirements and systemicity were taken into consideration. Second, when presenting and introducing the definition, quadrilaterals were connected to real life. Concerning the contents and methods of instruction, we have concluded the following: First, the subject of learning has changed from textbook and teachers to students. Second, when presenting and introducing the definition, quadrilaterals were connected to real life. Third, when instructing the characteristics and inclusive relation, students could build up their knowledge by themselves, by questions and concrete operational activities. Fourth, constructions were aimed at understanding of the definition and characteristics of the figures, rather than at itself.