• Journal of Educational Research in Mathematics
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• v.23 no.4
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• pp.517-531
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• 2013

In this study, from the viewpoint that there should be no inconsistencies in stating the learning-content achievement standards of elementary mathematics curriculum, non-consistent use of the verb 'understand', 'know' and the noun 'meaning' which are used very frequently in the learning -content achievement standards of the Korean 2011 elementary mathematics curriculum are discussed. To this end, the modes that appear inconsistently in the 2011 curriculum, the 1997 curriculum, and the 2006 curriculum are investigated and analyzed. The result is that it is difficult to see that the verb 'understand', 'know' and the noun 'meaning' in the 2011 curriculum are used on the base of some principles. Based on this result, the following three suggestions are presented as the conclusions for the development of the future curriculum. First, it is necessary to restrict the contexts in which the verb 'understand' is used in stating the learning-content achievement standards. Second, it is necessary to clarify the difference between the verb 'know' and the verb 'understand'. Third, when 'the meaning of ~ ' is used, it is necessary to clarify what the meaning implies.

• Research in Mathematical Education
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• v.15 no.3
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• pp.209-228
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• 2011

Many studies such as Pepin (1999a; 1999b), Kaiser (2002), and Park & Leung (2006) revealed that there is a strong dependence of mathematics teaching on cultural traditions in different countries. This study was set up as a detailed comparison between the intended curricula in Berlin and Hong Kong to explore how cultural tradition influenced the intended curriculum. In this study, the intended curriculum is what the (local, state or national) curriculum developers stipulate in the official documents. The German educational system is influenced by the curriculum tradition called Didaktik. Didaktik is a tradition about teaching and learning. Since 16th century, Didaktik has been the most important tool for planning, enacting, and thinking about teaching in most of northern and central Europe (Westbury, 1998). On the other hand, the education system in Hong Kong is influenced by both the Anglo-Saxon curriculum tradition and the Confucian heritage culture (CHC). It was found in this study that, although many studies revealed that there is a strong dependence on cultural traditions of mathematics teaching in different countries, other factors such as social factors or the education system also played an important part in shaping the intended mathematics curriculum. So a simplistic view of dependence of the curriculum on cultural traditions is not warranted. The formation of the curriculum is a much more complicated process encompassing various factors including needs of society, advancement of technology, and government policies at different levels.

• The Mathematical Education
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• v.44 no.2 s.109
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• pp.201-213
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• 2005

The purpose of this study is to find research areas that were less represented by the researchers of mathematics textbooks and to provide feedback for the research and development of mathematics curriculum and textbooks. In order to complete this study, we analyzed comparative studies of mathematics textbooks published in Korean. This study analyzed 107 comparative studies published until recently based on following aspects: countries studied (North Korea, U.S.A., and Japan), Math curriculum studied (6th and 7th mathematics curriculum), and Math contents studied (probability and statistics) and etc. The result of this study suggests that the content area of creative problem solving was particularly less represented by the studies published and require more concern from the mathematics education researchers

• Education of Primary School Mathematics
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• v.2 no.2
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• pp.85-102
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• 1998

Since textbooks for elementary school mathematics in accordance with the seventh curriculum are 'Class I' textbooks, which are used as one and only one textbooks throughout the country, the following aspects have been considered： In the legal aspect, the contents including the curriculum for mathematics asked of the Writing Committee by the Ministry of Education were reflected; in the aspect of theory of mathematics education, the textbooks are written in a way appropriate to theory of mathematics education; and in the aspect of application of reality, the textbooks are written to help improving mathematics education in classrooms. Therefore, the main frame of writing the textbooks is to make students feel proud enough to say "I have done mathematics", through helping students rationally solve problems surrounding them by themselves with their experiences and activities. In the above viewpoint the following sentence is reflected upon: "Hundred explanations are not equal to one manipulation activity."

• The Mathematical Education
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• v.53 no.3
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• pp.413-434
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• 2014

Logic lays the foundation of Mathematics and the development of Mathematics is dependent on critical thinking. So it is important that school mathematics helps students develop their logical and critical thinking ability for both mathematics learning and problem solving in general. MINDSTORMS, a LEGO based programming activity kit, is an effective teaching and learning tool that can be used to enhance logical and critical thinking in students. This study focused on measuring the growth of students' ability to think logically and critically when they used MINDSTORMS activities to learn programming. In addition, we investigated how the students' logical and critical thinking changed from the MINDSTORMS learning experience. The study confirmed that the programming activities using MINDSTORMS help to enhance logical and critical thinking in students. The students attitude about logical and critical thinking became more positive and the activities helped to engage students to think logically and critically. This type of programming activities should be valuable in mathematics education and it should be included in a general mathematics curriculum.

• 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.

• Korean Journal of Comparative Education
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• v.28 no.3
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• pp.333-354
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• 2018

The study aimed to compare and analyze Nuri curriculum and contents for mathematics in Korea and the Common Core State Standards(CCSS) and New Jersey Preschool Standards for mathematics in the United States. With the results as basis, this study intended to provide suggestions and directions for improving Nuri curriculum of mathematics for young children. For the goal of this study, educational goals, categories of contents, and specific contents were reviewed. First, results of this study indicated that Nuri curriculum for mathematics provides comprehensive educational goals that promote problem-solving ability in everyday contexts with composing mathematical knowledge. On the contrary, CCSS and Preschool Standards provide specific educational goals that focus on children's mathematical skills and concepts. Second, the contents of both countries' curriculum concentrate on 'counting and cardinality', 'measurement', and 'spatial and geometric sense.' There are 5 categories of CCSS, 4 categories of Preschool Standards based on CCSS and one category of Nuri curriculum for mathematics. Third, there are the differences between the two countries' curriculum in continuity from kindergarten to first grade and description method for curriculum.

• The Mathematical Education
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• v.42 no.4
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• pp.561-577
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• 2003

Because statistical concepts are important parts in school mathematics, mathematics teachers have trained by special education model. In this study, a desirable direction of curriculum on probability and statistics at pre-service for mathematics teacher is considered. We proposed four subjects as Exploration and Analysis of Data for Mathematics Teacher, Probability and Statistics I, II for Mathematics Teacher and Statistical Software for Mathematics, and suggested the constituents and something being kept in mind for each subject.

• School Mathematics
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• v.7 no.4
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• pp.403-425
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• 2005

The study aims to get real picture of primary mathematics education based on RME in the Netherlands focusing on number and operations strand by reflecting and analyzing the documents in relation to the primary school mathematics curriculum. In order to attain these purposes, the present paper describes the core goals for mathematics education, Dutch Pluspunt textbook series for the primary school, and a learning-teaching trajectory by TAL project which are determinants of the Dutch primary school mathematics curriculum. Under these reflections on the documents, it is analyzed what is the characteristics of number and operations strand in the Nether-lands as follows: counting numbers, contextualization, positioning, structuring, progressive algoritmization based on levels, estimation and insightful use of a calculator. Finally, discussing Points for improving our primary mathematics curriculum and textbook series development are described.

• Journal for History of Mathematics
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• v.12 no.1
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• pp.45-52
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• 1999

This study is an analysis on the Arithmetic education curriculum of elementary school in Japan that will become effective from April 1, 2002. In new curriculum, loaming are highly reduced and mediated. This curriculum is characterized by the slow and interesting Arithmetic education focusing on creativity, student-based Arithmetic education, and real life-related Arithmetic education.