• Title/Summary/Keyword: Mathematical Literacy

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Transforming mathematics education with AI: Innovations, implementations, and insights

  • Sheunghyun Yeo;Jewoong Moon;Dong-Joong Kim
    • The Mathematical Education
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    • v.63 no.2
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    • pp.387-392
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    • 2024
  • The use of artificial intelligence (AI) in mathematics education has advanced as a means for promoting understanding of mathematical concepts, academic achievement, computational thinking, and problem-solving. From a total of 13 studies in this special issue, this editorial reveals threads of potential and future directions to advance mathematics education with the integration of AI. We generated five themes as follows: (1) using ChatGPT for learning mathematical content, (2) automated grading systems, (3) statistical literacy and computational thinking, (4) integration of AI and digital technology into mathematics lessons and resources, and (5) teachers' perceptions of AI education. These themes elaborate on the benefits and opportunities of integrating AI in teaching and learning mathematics. In addition, the themes suggest practical implementations of AI for developing students' computational thinking and teachers' expertise.

Effects on equity in mathematics education: Multilevel analysis via the PISA 2015 (수학교육 형평성에 미치는 학교 영향: PISA 2015를 이용한 다수준 분석)

  • Hwang, Jihyun;Shin, Dong Hoon
    • The Mathematical Education
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    • v.60 no.4
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    • pp.451-466
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    • 2021
  • The interaction between student and school levels should be considered to understand and examine equity in education. For this reason, we included the socioeconomic composition of schools to scrutinize the equity related to students' socioeconomic status and mathematical literacy in Korea. We applied the hierarchical linear modeling approach to the Programme for International Student Assessment (PISA) 2015 data for binational comparison between Korea (5,548 students from 168 schools) and the U.S. (5,217 students from 161 schools). The findings show that school-level achievement and the socioeconomic composition of schools cannot be ignored to understand Korean students' achievement gap between high and low socioeconomic status. In addition, U.S. students from low socioeconomic status were likely to have similar mathematics literacy scores. These findings indicated that inequity in Korean mathematics education could be intertwined with the characteristics of Korean students like high demands for supplementary private education and school characteristics like curriculum selection. This research also reminds mathematics educators that people should not simply mimic other education systems to resolve education issues in their own system.

A study of the policy change of teacher' education in Korea with an analysis of America statistical literacy education (미국의 통계소양교육 분석을 통한 우리나라 교사교육 방향의 탐색)

  • Kim, Jeongran;Kim, Yunghwan
    • Journal of the Korean School Mathematics Society
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    • v.20 no.2
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    • pp.163-186
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    • 2017
  • The purpose of this paper is to propose the policy change of teachers education in Korea with an analysis of America statistical literacy education. we found the difference of statistical literacy education between Korea and America with each nation's social and educational environment. We can get the need of new change for statistic teacher's education in Korea. We think of Mathematics teachers should know about the difference between statistics and mathematics at school mathematics. And they should know the new change thinking about teaching method and process assesment methods. Second, Teachers should focused on teaching of problem solving and statistical thinking ability based on data analysis than the teaching of probability and mathematical theory.

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A Study on Analyzing the Difference Factors Occurred in the Secondary School Mathematics Teachers on the Mathematical Knowledge of Teaching and on Exploring the Enhancement on the Statistical Literacy (수학 중등 교사들 간의 수학교수지식(MKT) 차이 발생 요인 분석 및 이를 통한 통계적 소양 신장 방안)

  • Kim, Seul Bi;Hwang, Hye Jeang
    • East Asian mathematical journal
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    • v.39 no.2
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    • pp.141-166
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    • 2023
  • The purpose of this study is to confirm the MKT(Mathematical Knowledge for Teaching) of the in-service mathematics teachers on the statistics(Representative value, Degree of scattering) through the comparative analysis between the sub-elements of the MKT. In addition, it is to examine the factors that cause the difference of the subjects' MKT. To accomplish this, by the subject of 12 secondary in-service mathematics teachers, in this study the test items of the MKT on the statistics were developed and data were collected and analyzed. As a result of the analysis of the MKT test sheet, the CCK(Common Content Knowledge) and SCK(Specialized Content Knowledge) of the mathematics teacher was confirmed as a high score, whereas the and KCS(Knowledge of Content and Students) and KCT(Knowldge of Curriculum and teaching) were confirmed as low scores. In addition, through these results, it was shown that the difference in MKT's elements the middle school and high school teachers obtain occurred slightly.

From Visualization to Computer Animation Approaches in Mathematics Learning: the Legacy throughout History of Human Endeavours for Better Understanding

  • Rahim, Medhat H.
    • Research in Mathematical Education
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    • v.17 no.4
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    • pp.279-290
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    • 2013
  • Presently, there has been growing interests in using mathematics' history in teaching mathematics [Katz, V. & Tzanakis, C. (Eds.) (2011). Recent Developments on Introducing a Historical Dimension in Mathematics Education. Washington, DC: Mathematical Association of America]. Thus, this article introduces some work of scholars from ancient East Indian culture like Bhaskara (AD 1114-1185) and Arabic culture such as Ibn Qurrah (AD 9th c) that are related to Pythagoras Theorem. In addition, some Babylonian creative works related to Pythagorean triples found in a tablet known as 'Plimpton 322', and an application of the Pythagorean Theorem found in another tablet named 'Yale Tablet' are presented. Applications of computer animation of dissection Motion Operations concept in 2D and 3D using dynamic software like Geometer's-Sketchpad and Cabri-II-and-3D. Nowadays, creative minds are attracted by the recent stampede in the advances of technological applications in visual literacy; consequently, innovative environments that would help young students, gifted or not, acquiring meaningful conceptual understanding would immerge.

Adults' perception of mathematics: A narrative analysis of their experiences in and out of school (수학에 대한 성인들의 인식: 학교 안팎에서의 수학적 경험에 대한 내러티브 탐구)

  • Cho, Eun Young;Kim, Rae Young
    • The Mathematical Education
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    • v.61 no.3
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    • pp.477-497
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    • 2022
  • The rapidly changing world calls for reform in mathematics education from lifelong learning perspectives. This study examines adults' perception of mathematics by reflecting on their experiences of mathematics in and out of school in order to understand what the current needs of adults are. With the two questions: "what experiences do participants have during their learning of mathematics in schools?" and "how do they perceive mathematics in their current life?", we analyzed the semi-structured interviews with 10 adults who have different sociocultural backgrounds using narrative inquiry methodology. As a result, participants tended to accept school mathematics as simply a technique for solving computational problems, and when they had not known the usefulness of mathematical knowledge, they experienced frustration with mathematics in the process of learning mathematics. After formal education, participants recognized mathematics as the basic computation skill inherent in everyday life, the furniture of their mind, and the ability to efficiently express, think, and judge various situations and solve problems. Results show that adults internalized school education to clearly understand the role of mathematics in their lives, and they were using mathematics efficiently in their lives. Accordingly, there was a need to see school education and adult education on a continuum, and the need to conceptualize the mathematical abilities required for adults as mathematical literacy.

수학적 의사소통의 지도

  • Jo, Wan-Yeong;Gwon, Seong-Ryong
    • Communications of Mathematical Education
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    • v.8
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    • pp.165-177
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    • 1999
  • 1989년에 NCTM에서 Curriculum and Evaluation Standards for School Mathematics(이하 Standards)를 발간한 이래로 수학교육은 Standards의 정신에 많은 영향을 받아왔다. 90년대의 수학교육은 학생들의 수학적인 문해능력(literacy)의 중요성을 반영하여 학생들이 수학의 가치를 느끼도록 하며, 자신들의 수학적 능력에 대해서 확신을 가지게 하며, 수학적인 문제해결자가 되도록 하며, 수학적으로 의사소통하는 것을 학습하며, 수학적으로 추론하는 것을 학습함으로서 아동들에게 수학적인 힘을 길러주는데 중점을 두고 있다. 특히 수학적 의사소통능력은 학생들의 수학적인 힘을 기르는데 매우 중요하다. 아동들의 수학적인 의사소통 능력을 향상시키기 위해서 교사는 아동들이 상대방의 아이디어가 받아들일 만한 것인지에 대해서는 비판하고 토론을 하도록 하되 발표한 사람을 비난하는 일이 없도록 각 학급에서는 의사소통과 상호작용에서의 사회적인 규범과 사회-수학적인 규범이 형성되도록 해야 할 것이다. 이런 규범을 바탕으로 교사와 학생이 협력함으로써 서로의 아이디어에 대해 원활한 의사소통을 이룰 수 있다. 그래서 무엇보다 중요한 것은 문화공동체로서의 교실내에 의사소통을 촉진할 수 있는 규범을 형성하는 것이라고 할 수 있다. 이런 규범은 교사 혼자의 노력으로 이루어지는 것이 아니라 교실 구성원 전체의 상호작용에 의해서 장시간에 걸쳐서 형성된다고 할 수 있다.

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A study for developing a system of computer adaptive diagnosis and instruction(CADI) for tailored learning under e-learning environment. (맞춤 e-learning을 위한 컴퓨터 적응 진단 및 수업 체제 개발 연구)

  • 이중권;김성훈
    • The Mathematical Education
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    • v.43 no.3
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    • pp.291-307
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    • 2004
  • This study focused on the developing a system of computer adaptive diagnosis and instruction(CADI). This system is a conceptual model that connected learning with assesment by using new media such as computers, multimedia, and new technologies. In this conceptual model, adaptive diagnosis means tailored or customized diagnostic evaluation, and adaptive instruction implies tailored or customized instruction. The connection between learning and assesment suggests that they are closely related to determine following learning contents and learning methods. CADI's expected effect are 1) it can contribute to real learning of core concept, 2) it can enlarge the educational opportunities, 3) it can help students study by student himself and learn media literacy, 4) information for evaluation functions more essential roles, 5) it is possible to work cooperatively with any other school subject.

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On the Teaching of Mental Arithmetic in Primary Mathematics (초등학교에서의 암산 지도에 관한 논의)

  • 정영옥
    • School Mathematics
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    • v.5 no.2
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    • pp.167-189
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    • 2003
  • Mental arithmetic has recently gained a higher profile in primary school mathematics. The study aims to reflect didactical background of mental arithmetic in number and operations curriculum for primary school mathematics. In order to attain these purposes, the present paper describes the meaning of mathematical literacy and didactical background of mental arithmetic on which have been laid emphasis in relation to mathematical literacy in many countries. Also it shows current suggestions for mental arithmetic instruction in Everyday Mathematics Project in USA, Numeracy Number Project in Great Britain, TAL project based on Realistic Mathematics Education in the Netherlands, and mathe 2000 project in German in order to gain practical ideas for teaching mental arithmetic. Furthermore, it discusses mental strategies of students and didactical models for improving mental arithmetic instruction based on the results of many researches. Under these theoretical foundations, it is analyzed how mental arithmetic is developed in our number and operations curriculum, focused on mental strategies and didactical models. Finally, implications for improving our mental arithmetic instruction are discussed.

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An Analysis on Teaching and Learning Strategies of Inquiry Tasks in the Elementary Moral Textbooks by Multiple Intelligence (다중지능을 이용한 초등학교 도덕 교과서 탐구 과제의 교수·학습 전략 분석)

  • Noh, Jeong-Im;Song, Gi-Ho;Yu, Jong-Youl
    • Journal of the Korean Society for Library and Information Science
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    • v.51 no.2
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    • pp.5-22
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    • 2017
  • The purpose of this study is to analyze the teaching and learning strategies included in the inquiry tasks of elementary moral textbooks with multiple intelligences (M.I), and to propose educational information services of teacher librarians. It was found that the tasks were mainly designed by the linguistic intelligence, logical & mathematical intelligence and spatial intelligence. In terms of the information literacy process, linguistic intelligence and spatial intelligence are mainly applied to the analysis-understanding stage. Logical & mathematical intelligence is applied to the stage of comprehensive-application and linguistic intelligence is applied to expression-delivery step. In order to cultivate the insufficient M.I in inquiry activities, teacher librarians should improve room and teaching materials of their school library and provide workbooks using the graphic organizer after analyzing the linkage of the inquiry tasks between the subjects.