• Title/Summary/Keyword: college math textbook

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Case Study on College Calculus Education for Vocational High School Graduates with Coding (직업계 고등학교 졸업생 대상 'Math & 코딩'을 활용한 대학 미분적분학 교육 사례 연구)

  • Lee, Jae Hwa;Lee, Sang-Gu;Ham, Yoonmee
    • Communications of Mathematical Education
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    • v.36 no.4
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    • pp.611-626
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    • 2022
  • In this study, we introduced the case of college calculus course for vocational high school graduates with coding. We suggest this case as an alternative to overcome mathematics anxiety. Contents, python/SageMath codes, and textbook for this course, which help students to easily and quickly review middle and high school mathematics, were newly developed by authors. Due to the use of codes and chat with classmates in learning management system, most of the students who took this course reported that they no longer felt anxious in complex mathematics problems, had a full understanding of calculus concepts, could solve almost problems in any calculus textbooks with or without codes, and could explain calculus concepts to other students in their own words. In this way if mathematics and coding is properly used in mathematics education, it helps students with weak mathematical backgrounds or mathematics anxiety to restore confidence in mathematics in college. This could be applicable in secondary mathematics education.

A Study on Textbooks and Languages Used in College Mathematics Education (대학수학교육에서의 교과서 및 사용 언어에 관한 연구)

  • Lee, Sang-Gu;Yoo, Joo-Yeon;Ham, Yoon-mee
    • Communications of Mathematical Education
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    • v.36 no.1
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    • pp.73-88
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    • 2022
  • Mathematics is a way of thinking. To do mathematics means to think mathematically. In other words, mathematics education and mathematics literacy are related. In elementary and secondary school mathematics education in many countries, teaching of mathematics using textbooks is conducted mostly in their native language. So mathematics education takes place while reading, writing, listening, and speaking mathematics. Analysis of mathematics textbooks for the lower grades of undergraduate mathematics shows that most advanced countries in mathematics use excellent undergraduate mathematics textbooks written in their native language. However, the ratio of using imported textbooks from foreign countries is particularly high in the case of textbooks for mathematics majors at Korean universities. In this article, the effect of language used in university mathematics education is analized. In particular, the importance of high-quality leading-edge university mathematics textbooks in native language is introduced by analyzing the case of Bourbaki in France and 'War of language' at the Israel Institute of Technology. The innovation of French university mathematics education in the 20th century began with Bourbaki's 'Fundamentals of Mathematics', a French textbook written in his native language. Israel's Technion and the Hebrew University of Jerusalem continue to teach all subjects in their mother tongue. This has led to produce many Nobel Prize and Fields medal winners in these two countries. This study shows that textbooks and languages used in university mathematics education has affected mathematical literacy.

Analysis of Lectures for Strengthening Creativity and Personality of Pre-Mathematics Teachers (예비수학교사 창의·인성 역량 강화를 위한 교과교육학 강의 분석)

  • Shin, Joonkook;Kim, Jeong Kyoum;Suh, Bo Euk
    • Journal of the Korean School Mathematics Society
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    • v.20 no.3
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    • pp.255-275
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    • 2017
  • Educating for character was emphasized in 2015 & 2009 reformed Korea natio nal mathematics curriculum. Thus, in this study we basically conducted to reali ze the creativity and character education. The purpose of this study is to succe ssfully lectures in the 'Mathematics Curriculum and Textbook Research' subject that is mathematics education department's major subject in teacher college, and to analyze the results. For the purpose of this study, the following study was carried out. First, we develop a lesson plan, teaching and learning plan, learning materials based on cr eativity and personality. Second, we taught a class based on the creativity and personality. Third, we analyze the effectiveness of the teaching efficacy about p re-service math teacher. Fourth, we conducted a qualitative analysis of the 'Mat hematics Curriculum and Textbook Research' subject lessons through the Classe s observer.

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Artificial Intelligence and College Mathematics Education (인공지능(Artificial Intelligence)과 대학수학교육)

  • Lee, Sang-Gu;Lee, Jae Hwa;Ham, Yoonmee
    • Communications of Mathematical Education
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    • v.34 no.1
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    • pp.1-15
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    • 2020
  • Today's healthcare, intelligent robots, smart home systems, and car sharing are already innovating with cutting-edge information and communication technologies such as Artificial Intelligence (AI), the Internet of Things, the Internet of Intelligent Things, and Big data. It is deeply affecting our lives. In the factory, robots have been working for humans more than several decades (FA, OA), AI doctors are also working in hospitals (Dr. Watson), AI speakers (Giga Genie) and AI assistants (Siri, Bixby, Google Assistant) are working to improve Natural Language Process. Now, in order to understand AI, knowledge of mathematics becomes essential, not a choice. Thus, mathematicians have been given a role in explaining such mathematics that make these things possible behind AI. Therefore, the authors wrote a textbook 'Basic Mathematics for Artificial Intelligence' by arranging the mathematics concepts and tools needed to understand AI and machine learning in one or two semesters, and organized lectures for undergraduate and graduate students of various majors to explore careers in artificial intelligence. In this paper, we share our experience of conducting this class with the full contents in http://matrix.skku.ac.kr/math4ai/.

An Analysis of 2009 Revised Elementary First Grade Mathematics Textbooks Based on STEAM-related Subject Contents (2009 개정 초등수학 1학년 교과서상의 STEAM 관련교과 내용 분석)

  • Kim, Hae Gyu
    • Education of Primary School Mathematics
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    • v.17 no.3
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    • pp.277-297
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    • 2014
  • In this study, we analyzed what STEAM-related subject contents, except mathematical knowledge, are contained in 2009 revised elementary first grade mathematics textbooks. STEAM-related subject contents in the textbooks were examined by unit and by strand of the content in the elementary school mathematics curriculum. According to the results, the number and the type of STEAM-related subject contents are different depending on the unit and the strand of the mathematics content. Generally speaking, in each unit and in each strand of mathematics, storytelling liberal arts-related contents are seen the most, followed by non-storytelling liberal arts-related contents and physical education contents in order, while the number of musical contents was very small. So we need to develop different STEAM materials in order to activate STEAM education in our elementary math classrooms.

Early History of Linear Algebra (초기 선형대수학의 역사)

  • Lee, Sang-Gu;Lee, Jae Hwa;Ham, Yoon Mee
    • Communications of Mathematical Education
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    • v.26 no.4
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    • pp.351-362
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    • 2012
  • Until the 1950s, linear algebra was considered only as one of abstract and advanced mathematics subject among in graduate mathematics courses, mainly dealing with module in algebra. Since the 1960s, it has been a main subject in undergraduate mathematics education because matrices has been used all over. In Korea, it was considered as a course only for mathematics major students until 1980s. However, now it is a subject for all undergraduate students including natural science, engineering, social science since 1990s. In this paper, we investigate the early history of linear algebra and its development from a historical perspective and mathematicians who made contributions. Secondly, we explain why linear algebra became so popular in college mathematics education in the late 20th century. Contributions of Chinese and H. Grassmann will be extensively examined with many newly discovered facts.