• Education of Primary School Mathematics
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• v.26 no.4
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• pp.237-255
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• 2023

At a time when the textbooks publishing system is changing from government-administered to certified, it is necessary to analyze textbooks published in both systems. This study analyzed one government textbook and three certified textbooks on quadrilaterals based on the instructional components that must be taught in the area of 2-D shapes. As a result of the analysis, it was found that concept exploration was implemented appropriately, but classification activities were not presented in some lessons. In Defining Concepts, the definition of the concept was presented appropriately, but there were differences depending on the textbooks. In addition, it was found that there was little activity in talking about the components of shapes or shapes. In applying concepts, more diverse activities were presented in certified textbooks than in government textbooks. Knowing relationships are rarely presented in textbooks due to its influence on the curriculum. Based on the results of this analysis of quadrilaterals, this study provides textbook writers with implications on what to further consider is dealing with quadrilaterals.

• Journal of Elementary Mathematics Education in Korea
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• v.20 no.3
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• pp.407-430
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• 2016

In this study, we analyzed and discussed the instruction method of multiplication tables in mathematics textbooks from four countries in Asia; South Korea, China, Japan, and Singapore. The conclusions of remarks are states as follows: First. The teaching period and elements should be subdivided more structurally so that the learner could understand the concept and principle of multiplication tables better. Second. The bundle model, the linear model, and the array model of multiplication need to be presented so that the learners could experience various situations related to multiplication. Third, The concrete explanation and the higher frequency of presenting the commutative rules of multiplication is suggested so that the learner could understand the concept of the rules well. Fourth. The context related to multiplication by 1 and 0 should be presented so that the learner could comprehend the character of multiplication by 1 and 0. Fifth. The activities which helping memorizing a multiplication table should be suggested when the memorization is needed.

• Communications of Mathematical Education
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• v.8
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• pp.151-164
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• 1999

우리의 경우 학교수학에서 문제해결이 강조된지도 20여년이 넘었으나 아직도 수학을 혐오하는 학생들이 적지 않은 것 같다. 이러한 우리의 수학교육의 문제점은 여러 가지 측면에서 접근할 수 있으나 본 연구에서는 문제해결의 관점에서 접근하고자 한다. 먼저 수학학습평가와 사회에서의 평가를 문제해결의 관점에서 비교하고, 또 수학과 교육과정과 교과서의 구성내용과 체제를 문제해결의 관점에서 구체적인 예제를 통하여 조사한다. 나아가 최근의 구성주의의 관점에서 수학수업에서 계산기의 도입 가능성을 살펴본다.

• Journal of Educational Research in Mathematics
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• v.18 no.3
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• pp.353-372
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• 2008

This study looks around the goals of teaching statistical graphs that are introduced in the seventh Korean Curriculum for Elementary School and in the Principles and Standards for School Mathematics(NCTM, 2000), and these are compared. We compare how to transpose statistical graphs didactically between the Korean and MiC textbooks. For it, it examines the types of statistical graphs, the methods defining them, and the making connections and comparing among them, which are content components in the chapters on statistical graphs. The results show that in contrast to the Korean textbooks, NCTM(2000) has allowed students to develop their own expression for data, to compare results analysed within different graphs, and to consider a graph as a whole in the goals of teaching statistical graphs. MiC textbooks have introduced the number-line plot and the box plot more than Korean. Although both of Korean and MiC textbooks usually use extensive methods for defining individual graphs, the former use extensive methods together with synonymic methods and the latter use extensive methods with the characteristics of graphs. Also, the number-line plot is defined using operative method in the MiC textbooks. MiC textbooks contain various activities for connecting and comparing graphs, but there are comparatively few comparing activities in the Korean textbooks.

• Journal of the Korean School Mathematics Society
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• v.17 no.2
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• pp.235-249
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• 2014

In this paper, teaching contents in area between Korea and Japan's first grade math textbooks are compared. Based on the results of this comparison, implications for improving our grade 1 math textbooks are obtained as follows. Firstly, when describing the configuration of two-digit numbers, it needs to be considered that, after the mathematical description of a concrete material representing two-digit numbers, then it should be processed mathematically. Secondly, with respect to the composition and decomposition of numbers, use of the expression of 'some number and some number' needs to be considered. Thirdly, when reading addition expression and subtraction expression with an equal sign, the way of reading them with terms 'sum' and 'difference' respectively needs to be reconsidered. Fourthly, use of the distinct expression for the supplementing situation and the merging situation respectively and use of the distinct expression for the removing situation and the comparing situation respectively need to be considered. Fifthly, the jump in representing the expression of subtraction of two numbers as the expression of the subtraction or mixed operation of three numbers to explain (some number)-(some number) with borrowing need to be resolved.

• School Mathematics
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• v.18 no.4
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• pp.749-771
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• 2016

The purpose of this study is to analyze mathematical tasks of Korea and the USA textbooks focused on conditions for parallelograms. In this study, structures of task, types of proof and reasoning, and levels of cognitive demand are investigated. The conclusion is as follows: First, with respect to structures of task, structures presented in the USA textbooks are more diverse. Second, with respect to types of proof and reasoning, Korea and the USA prefer IC task and DA task. And task types presented in the USA textbooks are more diverse. Third, with respect to levels of cognitive demand, in both Korea and the USA textbooks, PNC task and PWC task account most. And compared to the USA, Korea prefer algorithms. In addition, we find out implications for reconstruction of Korea textbook. It is as follows: First, with respect to structures of task and types of proof and reasoning, the diversity of composition needs to be raised. Second, with respect to levels of cognitive demand, the concentration in PNC task needs to be declined. And levels of cognitive demand on types of tasks need to be reconsidered. Third, with respect to tasks' topic and material, internal and external connectivities of mathematics need to be strengthened.

• Education of Primary School Mathematics
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• v.21 no.2
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• pp.237-260
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• 2018

This study investigated the models of four countries' elementary mathematics textbooks in Ratio and Rate and identified how multiplicative perspectives on proportional relationships and the structure of proportion situations are reflected in the textbooks. For this, textbooks of 5th and 6th grade textbooks in Korea Japan, Singapore and U.S. are compared and analyzed. As a result, we can find multiplicative perspectives on proportional relationships and the structure of proportion situations on pictorial models, ratio tables, double number lines and double tape diagrams. Also, the development of Japanese textbooks from multiple batches perspectives to variable parts perspectives and the examples of the use with two models together implied the connection and union of two multiplicative perspectives. Based on these results, careful verification and discussion for the next textbook is needed to develop students' proportional reasoning and teach some effective reasoning strategies. And this study will provide the implication for what kinds of and how visual models are presented in the next textbook.

• The Mathematical Education
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• v.34 no.1
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• pp.107-117
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• 1995

• The Mathematical Education
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• v.34 no.1
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• pp.119-129
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• 1995

• Communications of Mathematical Education
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• v.5
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• pp.193-214
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• 1997