• Journal of Educational Research in Mathematics
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• v.26 no.2
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• pp.309-331
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• 2016

Australian Curriculum Assessment and Reporting Authority(ACARA) was founded by Australian federal government in 2009. Leading under ACARA, national education curriculum development was propelled. Also from 2014 they gradually extended enforcement of new curriculum by a Reminder about new syllabus implementation (2013.01.29.). The research result of Australia's curriculum, and textbook shows that students repeat, and advance the same contents under spiral curriculum as they move to higher grade. They actively use digital technology, and also puts emphasis on practical context such as Money & financial mathematics. On the level of difficulty, or quantity aspect, Korea handles relatively advanced contents of 'number and operation' or 'Letters and Algebraic Expressions' domain than Australia. However on statistics domain, Australia not only puts more focus on practical stats than Korea, but also concerns as much on both various and qualitative terms Australia doesn't deal with formal concept of 'function'. However, they learn the wide concept of function by handling various graphs. This shows Australia has a point of similarity, and also difference to Korea on various angles.

• School Mathematics
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• v.18 no.2
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• pp.349-373
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• 2016

Comparison of curriculum between various countries is a major research method for studying a course and content quoted on Korea's national curriculum. Therefore this research focuses on comparing and analyzing a new curriculum which Australia has announced on 2012 and conducting since 2015. From this research result, we found that Australia's curriculum achievement shows some unique characteristics. Such examples can be dealing a concept with real life context and proposing a mathematical content specifically. Also they introduce the definite integral by defining to the sum of series. There are other characteristics such as modelling motion, and numerical integration which Korea's highschool curriculum achievement doesn't deal with, and the content of vector calculus is handled more deeply. As a result of analyzing Australia's textbook, it fully deals with the supplementary notion to help understand mathematical definition. Hence further research will be needed later on to relieve the aspect of cognitive burden on Korean learners.

• Education of Primary School Mathematics
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• v.23 no.4
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• pp.229-255
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• 2020

In this study, considering the OECD's DeSeCo and 2030 projects, the curriculum to develop competency was expected to be more emphasized, and the evaluation standards of the 2015 revised mathematics curriculum for elementary school in Korea and the Australian curriculum were analyzed in depth. To this end, the capabilities newly emphasized in the OECD 2030 Project were examined in detail and examined how the Australian elementary school mathematics curriculum included capabilities in achievement standards and content descriptions. The achievement standards of elementary school mathematics curriculum in Korea and Australia were matched, and the contents of number and arithmetic domain were compared and analyzed, and the skill verbs included in the achievement standards were analyzed and compared to see how their competencies were reflected in the achievement standards. Based on the results of the analysis, implications for improving math achievement standards were derived to faithfully reflect the capabilities into the mathematics curriculum.

• Journal of Educational Research in Mathematics
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• v.26 no.3
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• pp.371-402
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• 2016

The aim of this study is to compare mathematics curriculum among the United States, Singapore, England, Japan, Australia and Korea and offer suggestions to improve mathematics curriculum of Korea in the future. In order to attain these purposes, the analysis was conducted in many aspects including mathematics education system, mathematics courses, mathematics contents, assessment syllabus for university entrance examination and the construction principles of mathematics curriculum. In the light of the results of this study, our suggestions for improving mathematics curriculum of Korea are as follows: revising the contents of analysis, geometry, probability and statistics strands; organizing curriculum based on spiral construction principle; providing various opportunities to select mathematics courses according to students'career; reflecting the contents of their courses in university entrance examination.

• Communications of Mathematical Education
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• v.34 no.2
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• pp.135-160
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• 2020

The purpose of this study is to draw implications for improving the method of reflecting the competencies in Korea mathematics curriculum, by analyzing what competencies are reflected in foreign mathematics and curriculum. As a result of the study, foreign countries were reflecting their competencies in mathematics curriculum in various ways. In France mathematics curriculum, the achievement standards of learning competencies(compétences travaillées) that students should reach by cycle were presented, and the related common competencies(socle commun) were indicated. In Australia's mathematics curriculum, the general capabilities for achievement standards were identified, and the achievement criteria for proficiency strands to be reached by grade level were presented. British Columbia's mathematics curriculum actively reflected its competencies. In the mathematics curriculum, domains were reorganized based on the competencies, and achievement standards of the competencies were proposed. The results of this study will help in improving the ways in which were reflected competencies in mathematics curriculum.

• Journal of Educational Research in Mathematics
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• v.27 no.4
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• pp.679-700
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• 2017

In this study, revisions of university entrance exams of mathematics in the UK, Australia and Japan are investigated. In the UK, A-level mathematics are revised to harmonize pure and applied mathematics so that the subjects and contents of each test are adjusted, and new types of items are announced. NSW university entrance exams in Australia are being revised in line with the Stronger Higher School Certificate policy, which basically reinforces mathematics. In Japan, as part of the educational reforms that link high schools and universities, current exams of National Center for University Entrance Examinations are abolished and Common Test for University Entrance is introduced. Mathematics of new test emphasizes comprehension, judgement and expression with new items and short-answer questions. Based on the case of the UK, Australia and Japan, this study discussed improvement of mathematics test in the Collage Scholastic Ability Test (CSAT) Korea in terms of objects and characteristics of test, systems and types of items. and support from academia.

• School Mathematics
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• v.19 no.3
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• pp.495-511
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• 2017

The purpose of this study is to research the meaning of core ideas and to compare the core ideas in mathematics curriculum of each country. I derived that the core ideas were approached and presented in curriculums of South Korea, The United States, Canada, Australia, New Zealand, Singapore as several perspectives; the main domains of mathematics contents which should be taught; the basis of the core principles between of mathematical contents; the focuses for teaching and learning in school mathematics. Finally, I discussed the further research direction on the contents of core ideas and the methods of presenting it to teach meaningfully the core mathematical contents to students who will live in the future.

• Education of Primary School Mathematics
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• v.24 no.3
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• pp.115-134
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• 2021

This study implemented a comparative analysis of the international mathematics curriculum on time learning. It aimed the improvement of challenges students facing when they learn time. As a preliminary step, I reviewed the previous literature on teaching and learning of time, and based on this, I drew five issues that require to be considered for better time learning. The coverage of time contents and the learning periods of respective time contents were compared across the mathematics curriculum of Korea, Japan, Australia, the United States, and Finland. The textbook cases of those countries were analyzed with a special focus on the five issues. The results showed that the Korean curriculum assigned time learning contents compressively during short periods compared to other countries. responded to the issues on teaching and learning of time, several improvement ideas were deduced from textbook cases of other countries. Implications for the curriculum reform were discussed underlying the results.

• Communications of Mathematical Education
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• v.37 no.2
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• pp.105-134
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• 2023

The purpose of this study is to explore which performance verbs are used in the achievement standards of the Korean mathematics curriculum and how to improve them. So, first, we analyzed whether there were differences in the performance verbs included in the 2015 revised mathematics curriculum achievement standards by school level. In addition, it was analyzed whether there were differences in the performance verbs included in the mathematics curriculum in Korea and foreign countries. As a result of the analysis, both the frequency and the type of performance verbs included in the achievement standards of the Korean mathematics curriculum decreased as the school level increased. Also, performative verbs such as 'understand' and 'know' were excessively used. Similar tendencies were seen in foreign mathematics curricula, but the frequency and the type of performance verbs were higher than those in Korea, and various performance verbs were used. As a result of the study, it is suggested that performance verbs included in achievement standards need to be improved to improve middle and high school mathematics classes.

• Communications of Mathematical Education
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• v.33 no.3
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• pp.295-317
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• 2019

Angle concept is widely used in all mathematics curriculums and is a basic concept in geometric domain. Since angle have a multifaceted and affect subsequent learning, it is necessary for students to understand various angle concepts. In this study, Singapore, U.K., Australia, and U.S. are selected as comparable countries to examine the angle-related contents and learning process that appear in the curriculum as a whole, and then look at the perspectives and the size aspects of angle in detail and give implications to the Korean curriculum based on them. According to the analysis, the four countries except Korea, supplement angle, complement angle, angles on a straight line, angles at a point, and finding angle were explicitly covered in the curriculum. And most countries gradually covered angle-related contents over several years, compared to Korea which intensively studied in a particular school year. In common, definition of angle was described as static, measurement of angle was described as dynamic. But in Korean curriculum, dynamic views on angles are described later and less compared to other countries, and range of angle size was narrower than in other countries'. From this comparison, this study suggest to discuss how to place and develop various contents of characteristics of angle in curriculum, address the angle using both static and dynamic perspectives, and introduce the angle size as the amount of rotation to learn the reflex angle, $180^{\circ}$, $360^{\circ}$ angle.