• East Asian mathematical journal
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• v.35 no.4
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• pp.467-488
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• 2019

The purpose of this study is to analyze multiplication facts(1st and 0th multiplication) in elementary mathematics. In the 2015 revised curriculum, students learn multiplication and multiplication facts in the 2nd grade. Many teachers experience difficulties in organizing the multiplication problem situation in multiplication facts(1st and 0th multiplication). This study aims to consider the causes of these difficulties and devise teaching methods. The method of this study is a comparative and analytic method. In order to compare textbooks, we select the Korean elementary mathematics textbooks(1st curriculum~2015 revised curriculum) and the six foreign elementary mathematics textbooks(Taiwan, Japan, Finland, Unites States, Hongkong, Singapore). As a result, the multiplication problem situation and the multiplication model assume the same bundle and bundle model. Also, we must consider the teaching timing of multiplication facts(1st and 0th multiplication) and the use of commutative law. In this study, we proposed a multiplication teaching scheme in consideration of the multiplication problem situation and teaching model, teaching period and commutative law etc.. to teach multiplication facts(1st and 0th multiplication) in elementary mathematics.

• School Mathematics
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• v.18 no.2
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• pp.375-396
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• 2016

This study considered Elementary school textbook and teacher's manual in Korea in terms of theories on counting. First we considered the meaning of counting in elementary school mathematics based on many preceding researches. And we compared textbooks in Korea with foreign textbooks in Singapore, China, USA. As a result, compared with Korea, these foreign textbooks reflect the theories on counting more actively. First of all, they consider counting to be an important basis for the four operations. Teacher's manual in Korea introduces the theories on counting, but the content was limited and thread was not clear. Based on these consideration, We discussed reflection of elementary school textbook in terms of theories on counting.

• Journal of the Korean School Mathematics Society
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• v.11 no.4
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• pp.655-676
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• 2008

This paper analyzed contents related to statistics in the 7th elementary mathematics curriculum in conjunction with main changes in the recent revised curriculum. This paper then provided detailed analyses of textbooks and workbooks in terms of main contents, instructional methods of graphs, and comprehension of graphs required to students in order to look closely at how such instructional materials would put the vision of the curriculum into action. It is expected that the issues and suggestions stemming from this analysis are informative in constructing new textbooks and workbooks.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.4
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• pp.527-544
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• 2015

Storytelling is one of the important features in the elementary school mathematics textbooks of the 2009 revised curriculum. In particular, the whole 'comparing objects' unit in the first grade mathematics textbook is based on storytelling method. In this study, we investigate the contents of the stories and the mathematical activities in the 'comparing objects' unit from both mathematical and character educational viewpoints. Based on our investigations, we analyze educational problems on teaching and learning mathematics as storytelling, suggest reconstructed alternative mathematical activities, and drew their educational implications.

• School Mathematics
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• v.17 no.2
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• pp.257-272
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• 2015

This study is related to reinforcement of the continuity between Nuri curriculum and elementary mathematics curriculum emphasized by 2015 revised national curriculum. Considering that teachers tend to rely much more on textbooks than on curriculum, we analyzed the continuity between math-related activities of Nuri manuals for teachers and the elementary mathematics textbooks and aimed to suggest several ways for securing the continuity based on the result of analyses. To do this, we compared and analyzed Nuri manuals (for ages three to five) for teachers and the first and second grade mathematics textbooks in three aspects: mathematical contents, mathematical terms and symbols, and mathematical processes. We adopted the same analysis framework including continuity, discontinuity and reverse continuity as the study on the continuity between Nuri curriculum and elementary mathematics curriculum. As a result, the results of analyses were revealed in three aspects, respectively. We also discussed the results and suggested some implications for securing the continuity of Nuri manuals for teachers and the elementary mathematics textbooks and for revising curriculum and its materials such as textbooks, workbooks or manuals for teachers.

• School Mathematics
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• v.19 no.2
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• pp.229-248
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• 2017

This study investigated the factors that should be considered when teaching proportional expression and proportional distribution through literature review. Based on these results, we analyzed and compared Korean and foreign mathematics textbooks on proportional expression and proportional distribution longitudinally and horizontally to search for desirable methods of organizing the unit of proportional expression and proportional distribution in mathematics textbooks. For longitudinal analysis, we took the mathematics textbooks according to the national curriculum since the 5th one. For horizontal analysis, we selected the mathematics textbooks of Japan, Singapore, and China. In each textbook, the contents and the order in relation to proportional expression and proportional distribution, the definitions of terminology, and the contexts and the visual representations for introducing related concepts are selected as the analysis framework. The results of analysis revealed many characteristics and the differences in ways of dealing contents about proportional expression and proportional distribution. Based on these results, we suggested some implications for writing the unit of proportional expression and proportional distribution in elementary mathematics textbooks.

• Education of Primary School Mathematics
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• v.25 no.4
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• pp.361-375
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• 2022

In this study, the vocabularies in elementary mathematics textbooks for grade 1-2 were analyzed according to 9-degree of semantic system. Also, the types of vocabulary were analyzed using general academic words, mathematics specific concept words, and mathematics general concept words. As a result, percentages of 1-degree and 2-degree vocabulary was the most in both grade 1 and 2 mathematics textbooks. It also shows that some of general academic words were 3-degree vocabulary and some of mathematics specific concept words were either unregistered or 1-degree vocabulary. In particular, general academic words, which are 3-degree vocabulary, may be unfamiliar to 1^st and 2^nd grade students. Therefore, students should be given the opportunity to guess and understand the contextual meaning of general academic words from the given contexts in textbooks. The frequency of use of mathematics general concept words in grade 2 textbook increased significantly compared to grade 1 textbook. Since mathematics general concept words are academic and technical vocabulary they should be taught explicitly. Based on the results of this study, implications for vocabulary instruction in mathematics textbooks were discussed.

• School Mathematics
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• v.19 no.2
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• pp.385-403
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• 2017

This paper analyzed the units of capacity and weight in the mathematics textbooks in terms of units, relationship between the units, and the need of standard units. The results of this study showed that there were differences in the representation of the units, the notation of units, the types of units, and the representation of basic amount of units in the mathematics textbooks developed by the 5th, 6th, 7th, 2007 revised, and 2009 revised national mathematics curriculum respectively. The mathematics textbook developed by the 2009 revised mathematics curriculum was found to be generally consistent with the International System of Units (SI). However, the way of defining 1kg through the weight of water was found to be different from the SI. The relationship between the units was consistently described only with a written sentence in the previous mathematics textbooks, but the 2009 revised mathematics textbook presents questions and pictures to foster students' understanding of the relationship. Finally, activities and questions are required for students to recognize the universality and convenience of the standard units through the inconvenience of arbitrary units. Based on these results, this paper provides implications for the development of mathematics textbooks in the units of capacity and weight.

• East Asian mathematical journal
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• v.32 no.2
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• pp.153-174
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• 2016

The purpose of this study is to provide an opportunity for better understanding and application of 2009 revised elementary school mathematics textbooks through focus group's investigations on the elementary mathematics teacher's guide books. First, We survey previous studies on the teacher's guide books to make the frame of investigation. Next, We compose focus group(8 teachers) for 3~4th grades, and analyze the teacher's guide books according to ready-made frame: compliance of curriculum, accuracy and fairness of contents, selection and organization of contents. As results of investigation, system of organization of the teacher's guide books is needed. Goal, contents, teaching methods, and evaluations have to be consistent in describing mathematical terms. And errors in mathematics and mathematics education are examined more carefully. The teacher's guide books afford teachers many materials and informations to teach mathematics through classroom lessons. So more study on the teacher's guide books and developmental study for the model guidebooks is needed along with the revised curriculum and new textbooks.

• East Asian mathematical journal
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• v.30 no.4
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• pp.405-438
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• 2014

This study analyzed and discussed instruction methods of polyhedrons in elementary mathematics textbook by using the didactic transposition theory. By further segmenting instruction methods, we analyzed the period and order of teaching of polyhedrons, its definitions and presentation methods, and how instruction methods has changed so far. In elementary mathematics textbooks from the 1st to the 2007 revised curriculum, we choose the part where polyhedrons are introduced as the search-target, and analyzed instruction methods in these textbooks by using phenomenological description. The instruction period and order of polyhedrons were systemized when the system of Euclid geometry was introduced, considering the psychological condition of students, and the instruction period and order had been refined according to the curriculum. And methods of definition took into consideration both the academic systems and psychological situations. Also, the subject of learning has changed from textbook and teachers to students. Polyhedrons were connected to real life and students could build up their knowledge by themselves. Constructions were aimed at the understanding of meaning of contents, rather than at itself. Through these analyses, we have some suggestions on the teaching of polyhedrons in the elementary mathematics.