• Title/Summary/Keyword: technology in mathematics education

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Overview of Special Educations for Gifted Students in Mathematics

  • Iitaka Shigeru
    • Research in Mathematical Education
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    • v.10 no.1 s.25
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    • pp.49-54
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    • 2006
  • Special educations for gifted students have not been given enough attention in Japan with a little exception. Indeed, such educations were sometimes despised in Japan by teachers and parents as well as by boards of education, because one of the features of postwar education system in Japan was an excessive egalitarianism. The other is cramming of knowledge in school education, which is necessary for high school graduates to pass entrance examinations for famous universities such as University of Tokyo, or Kyoko University. However, in 1997, some trials of special educations for gifted students started. The Ministry of Education, Sports, Culture, Science and Technology admitted 'skipping a year to enter universities.' In this paper, the following three topics would be discussed. 1. Enrollment of high school students aged 17 into Chiba University. 2. Summer seminars conducted by Japan Mathematics Foundation of Olympiad. 3. Super Science High School Program funded by the Ministry of Education.

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Impact of Inquiry-Based Teaching on Student Attitude toward Mathematics

  • Kim, Taik-H.;Pan, Wei
    • Research in Mathematical Education
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    • v.14 no.3
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    • pp.249-262
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    • 2010
  • Large Midwest university faculty members proposed the Science and Technology Enhancement Program Project (STEP) to improve students' learning in the secondary mathematics classroom using modules of inquiry-based teaching. The purpose of this study was to determine the impact of the STEP Project on students' attitude toward mathematics. Hierarchical linear models (HLM) were used to evaluate the impact of the STEP Project. The sample group for the study was 130 ninth grade students enrolled in Integrated Algebra I in a large urban school district. The school was one of eight secondary schools that participated in the STEP Project. The classes in the treatment group were three of five classes ordered in terms of the highest, middle, and lowest mean GPA. The control group consisted of two other middle GPA classes. The classes had an average of 25 students. Teachers who previously had been involved in the STEP Project taught all treatment and control classes. The inquiry-based teaching activities provided by the project were confined to the treatment classes. The survey measuring students' attitudes toward mathematics were obtained for both groups of students. The inquiry-based teaching affected students' attitudes toward mathematics (p < 0.07, ES = 3.07). Especially, students who had preexisting low attitudes toward mathematics were significantly affected by treatment (p < 0.02, ES = 0.02), while the treatment positively affected African American students overall at p < 0.08 (ES = 0.58).

"It's easy. We got Desmos right here": The role of mathematical action technology in positioning students as mathematical explorers

  • Kristen Fye;Samantha Fletcher
    • Research in Mathematical Education
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    • v.27 no.3
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    • pp.267-294
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    • 2024
  • The positive impact on student learning and continued support of mathematical action technology (MAT) in classrooms deems a need to better understand what teaching practices maximize the affordances of MATs. The purpose of this study was to better understand the technology-centered teacher moves that allow students the opportunity to be positioned as mathematical explorers and sustain mathematical authority during a MAT task. In this case study of a MAT task designed to leverage the power of sliders in Desmos to explore key characteristics of the sine function, participants were two ninth-grade students (age 14), who engaged with a task-based interview. By coding the transcript of the task-based interview, the findings identified and described the teacher's actions with the technology that resulted in meaningful mathematical activity for the two students. Along with teacher actions with the technology, evidence showed the importance of the design of the MAT task and the ability of students to troubleshoot the technology. Ultimately, we identified important considerations for teaching mathematics with technology as well as several technology-centered teaching moves, leaving room for the students to perform as mathematical explorers. Applying these research methods for future cases could help generalize these technology-centered teaching strategies that position students as mathematical explorers, thus strengthening students' mathematics identities.

DISTANCE-PRESERVING MAPPINGS ON RESTRICTED DOMAINS

  • Jung, Soon-Mo;Lee, Ki-Suk
    • The Pure and Applied Mathematics
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    • v.10 no.3
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    • pp.193-198
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    • 2003
  • Let X and Y be n-dimensional Euclidean spaces with $n\;{\geq}\;3$. In this paper, we generalize a classical theorem of Bookman and Quarles by proving that if a mapping, from a half space of X into Y, preserves a distance $\rho$, then the restriction of f to a subset of the half space is an isometry.

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Correlates of Logic Performance: The Relationship Between Logic Performance and General and Logical Reasoning Skills

  • Emin, Aydin;Yavuz, Erdogan;Safak, Ozcan
    • Research in Mathematical Education
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    • v.12 no.3
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    • pp.201-213
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    • 2008
  • The main purpose of this study is to explore the relationship between the 'logical reasoning skill' and performance in the logic unit that is part of the grade 9 syllabus in mathematics in Turkey. After the teaching of the logic unit, an achievement test, a general skills test and the test of logical reasoning were administered to the 80, 9th year high school students. Pearson Moments Correlation coefficient was used for the analysis of the data to determine the relations between the variables. In addition to that to obtain the most suitable regression explaining the students' performances in the logic unit, stepwise multiple regressions analysis was used. At the end of the study, statistically significant relations were found between the students' performance in the logic unit and their logical reasoning skills, their results of the shape recognition test from the general skills battery and their overall performance in the mathematics lesson.

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An Instructional Design for the Converged English-Science Teaching Method using PBL Model in Elementary School (PBL 모형을 적용한 초등학교 영어·과학 융합 수업 모델 설계)

  • Park, In-Hwa
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.21 no.7
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    • pp.66-72
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    • 2020
  • In order to cultivate talented people with national economic influence in the rapidly changing 21st- century modern society, STEM(Science Technology Engineering Mathematics) education has been emphasized in advanced countries such as America and England. In South Korea, STEAM(Science Technology Engineering Arts Mathematics) education is emphasized by adding Arts. The objective of STEAM education is to strengthen the interest and motivation of learners, to focus on experience, exploration, experimentation, to solve convergent thinking and real-life problems, rather than cramming method of teaching and memorization. This study identifiesan instructional design for converged English, the world's official language, and science which is found in nearly all disciplines. With the development of the 4th industrial revolution based on the PBL model, learners participate in their lessons voluntarily for problem-solving skills. The instructional design based on the ADDIE model consists of 5 procedures: Analysis, Design, Development, Implementation, and Evaluation. The goal of fostering talented people with national economic influence is also important, and the teacher in education must recognize the importance of STEAM education and an appropriate instructional design should be studied constantly.

The Use of Technology with a Calculator for Improving Mathematical Thinking in Learning and Teaching Mathematics - A Study of Students' Mathematization Using Technology - (수학 교수.학습과정에서 사고력 신장을 위한 계산기의 활용 - 학생들의 수학화 발달에서 테크놀로지의 효과 -)

  • Choi-Koh, Sang-Sook;Ko, Ho-Kyoung
    • The Mathematical Education
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    • v.46 no.1 s.116
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    • pp.97-122
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    • 2007
  • This article provides how to implement the use of Realistic Mathematics Education (RME) in a teaching a function at a school to improve students' mathematization for their mathematical thinking using technology, This study was planed to get research results using the mixed methodology with quantitative and qualitative methodologies. 120 middle school students participated in the study to bring us data about their mathematical achievement and disposition. Through the data analysis used ANCOVA, the students with the experiment of the mathematization and technology excelled the other groups of students who were not provided with technology or both of them. In analysis of the questions of the achievement test, the problems for vertical mathematization were presented harder for the students than the other problems for horizontal and applicative mathematization. The technology environment might have helped students manipulate the application of real-life problems easier. This means that teachers can put more careful assignment on vertical mathematization using technology. We also explored that learning and teaching under RME using technology encouraged students to refine and develop their informal functional concept and pursue higher thinking of formalization. The study results in a lot of resources for teachers to use into their teaching mathematics for improving students' mathematical thinking.

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Mathematics teachers' knowledge and belief on the high school probability and statistics (수학교사의 확률과 통계에 대한 지식과 신념)

  • Kim, Won-Kyung;Moon, So-Young;Byun, Ji-Young
    • The Mathematical Education
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    • v.45 no.4 s.115
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    • pp.381-406
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    • 2006
  • This work aims to investigate mathematics teachers' knowledge and belief on the high school probability and statistics. For this aim, two research questions are estabilished as follows. (1) How is mathematics teachers' knowledge on the main contents of the high school probability and statistics in the 7th mathematics curriculum? (2) What is mathematics teachers' belief on the high school probability and statistics? Survey and interviews were carried out to answer the above research questions. Subjects of the survey were 2 7mathematics teachers who were answered to questionnaire. Among them, 3 volunteers were chosen by provinces for in-depth interview. Research findings in mathematics teacher's knowledge are as follows. Firstly, mathematics teachers do not have much of mathematical knowledge on the newly added and changed contents of the high school probability and statistics in the 7th mathematics curriculum. Secondly, mathematics teachers do not change their teaching-learning method for probability and statistics. Thirdly, many teachers think that the use of technology and reconstruction of the textbooks are required in teaching and learning of the high school probability and statistics. But, they stick on their own way. Research findings in mathematics teachers' belief are as follows. Firstly, many mathematics teachers view the nature of statistics as a branch of the applied mathematics and put the value of high school probability and statistics on the practical usefulness, Secondly, many mathematics teachers think that understanding concepts and improving problem solving ability are the best method of the teaching and learning. Thirdly, many mathematics teachers think that high school probability and statistics textbooks should cause motivations and interests in order not to give up studying probability and statistics. It is expected that the above findings can be used to change teachers' teaching and learning methods and to improve teachers training program.

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