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Analysis of Students' Mathematical Creative Thinking Ability in Solving Open-Ended Questions Based on Their Self-Concept 基于自我概念的学生解决开放性问题的数学创新思维能力分析
Pub Date : 2024-02-23 DOI: 10.56855/ijmme.v2i1.965
Nopita Palwa, Sarah Inayah, Ari Septian, Vahid Norouzi Larsari
To find out students' mathematical creative thinking abilities, this can be done by giving students open-ended problems. The aim of this research is to describe students' mathematical creative thinking abilities in solving open-ended problems when viewed from their self-concept. This type of research is qualitative descriptive research. The subject selection technique used in this research was purposive sampling. The subjects of this research consisted of one student with a high self-concept category, one student with a medium self-concept category, and one student with a low self-concept. Data collection methods in this research include questionnaire methods and tests. And the data analysis techniques used include: analysis of mathematical self-concept questionnaires, analysis of open-ended mathematics questions. The research results show that students with a high self-concept category can fulfill all aspects of creative thinking abilities, including fluency, flexibility and originality, so that their mathematical creative thinking abilities are also high. In contrast to students with moderate self-concept, it was found that their creative thinking abilities were low and students with low self-concept actually had moderate mathematical creative thinking abilities. So it can be concluded that based on this research, it shows that students' self-concept does not always describe students' mathematical creative thinking abilities in solving open-ended problems.
要了解学生的数学创造性思维能力,可以通过给学生出开放性问题来实现。本研究旨在从学生的自我概念出发,描述他们在解决开放式问题时的数学创造性思维能力。这类研究属于定性描述研究。本研究采用的研究对象选择技术是目的性抽样。研究对象包括一名自我概念较高的学生、一名自我概念中等的学生和一名自我概念较低的学生。本研究的数据收集方法包括问卷调查法和测试法。数据分析技术包括:数学自我概念问卷分析、开放式数学问题分析。研究结果表明,自我概念高的学生能够满足创造性思维能力的各个方面,包括流畅性、灵活性和独创性,因此他们的数学创造性思维能力也较高。相比之下,自我概念中等的学生创造性思维能力较低,而自我概念低的学生实际上具有中等的数学创造性思维能力。因此,根据这项研究可以得出结论,学生的自我概念并不总是描述学生在解决开放性问题时的数学创造性思维能力。
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引用次数: 0
Students' Proficiency in Computational Thinking Through Constructivist Learning Theory 通过建构主义学习理论提高学生的计算思维能力
Pub Date : 2024-02-21 DOI: 10.56855/ijmme.v2i1.963
L. Angraini, Nia Kania, Ferit Gürbüz
This study aims to assess students' mathematical computational thinking skills in the Mathematics Education program, focusing on the constructivist learning paradigm. The primary objective of this study is to investigate the impact of the constructivist learning approach on enhancing students' mathematical computational thinking skills. This study is a qualitative descriptive research that investigates students' learning process in the context of acquiring computational understanding and applying computational principles in mathematics education. The study was conducted in the Department of Mathematics Education, focusing on students enrolled in the Algebraic Structure course during the academic year 2023/2024. A total of 34 students were included as the subjects of this investigation. The study's findings offer a valuable understanding of the efficacy of the constructivist learning paradigm in enhancing the mathematical computational thinking abilities of Mathematics Education students. The findings indicated that the students' overall mathematical computational thinking proficiency was satisfactory. Additionally, prior mathematical knowledge was found to have a differentiating effect on students' mathematical computational thinking ability, particularly within the context of constructivism learning theory.
本研究旨在评估数学教育课程中学生的数学计算思维能力,重点关注建构主义学习范式。本研究的主要目的是探讨建构主义学习方法对提高学生数学计算思维能力的影响。本研究是一项定性描述研究,调查学生在数学教育中获得计算理解和应用计算原理的学习过程。研究在数学教育系进行,主要针对 2023/2024 学年代数结构课程的学生。共有 34 名学生成为调查对象。研究结果为了解建构主义学习范式在提高数学教育专业学生数学计算思维能力方面的功效提供了宝贵的信息。研究结果表明,学生的整体数学计算思维能力令人满意。此外,研究还发现,先前的数学知识对学生的数学计算思维能力具有区分作用,尤其是在建构主义学习理论的背景下。
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引用次数: 0
Creativity Increment and GeoGebra Classroom Quality: Impact on Student Learning 创造力增量与 GeoGebra 课堂质量:对学生学习的影响
Pub Date : 2024-02-17 DOI: 10.56855/ijmme.v2i1.770
Tri Sedya Febrianti, Dadan Dasari
Preliminary observation results highlight the importance of utilizing innovative learning media to stimulate students' creativity in both classroom and home-based learning. One interactive learning medium identified for this purpose is GeoGebra Classroom. This research aims to analyze the effect of using the GeoGebra Classroom on the increment of students’ creativity, the effect of the increment of students’ creativity on students’ learning Results, the effect of GeoGebra Classroom quality on students’ learning Results, and the interactivity between students’ creativity and the quality of GeoGebra Classroom learning media. By analyzing pre- and post-implementation learning processes with GeoGebra Classroom, we collected data on increased student creativity. In conclusion, GeoGebra Classroom effectively fosters increased student creativity. And from the process of analyzing the effect of students’ creativity increments, we get the result that the creativity increments give an effect on the learning result of quadratic function materials. Unfortunately, the quality of the learning media GeoGebra Classroom can’t give an effect on the learning result. The insights gained pave the way for future research efforts to delve deeper into the optimization of interactive learning media to improve educational outcomes in a variety of academic contexts.
初步观察结果凸显了在课堂和家庭学习中利用创新学习媒体激发学生创造力的重要性。为此,GeoGebra 课堂是一种互动学习媒体。本研究旨在分析使用 "吉格巴课堂 "对提高学生创造力的影响、提高学生创造力对学生学习成绩的影响、"吉格巴课堂 "质量对学生学习成绩的影响,以及学生创造力与 "吉格巴课堂 "学习媒体质量之间的互动关系。通过分析实施 GeoGebra 课堂前后的学习过程,我们收集到了学生创造力提高的数据。总之,GeoGebra 课堂有效地促进了学生创造力的提高。而在分析学生创造力提升效果的过程中,我们得到的结果是,创造力的提升对二次函数教材的学习效果产生了影响。遗憾的是,学习媒体 GeoGebra Classroom 的质量并不能对学习效果产生影响。所获得的启示为今后的研究工作铺平了道路,以便更深入地研究如何优化交互式学习媒体,从而提高各种学术背景下的教学效果。
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引用次数: 0
Design of Mathematical Proof-Based Logarithm Teaching Materials 设计基于数学证明的对数教材
Pub Date : 2024-02-08 DOI: 10.56855/ijmme.v2i1.933
Ida Hamidah, Susilawati Susilawati, S. Rahmasari, Abdul Khalim
The purpose of this research is to design logarithmic teaching materials based on mathematical proof. The subjects in this study were 23 students of SMA 1 Sumberjaya, Majalengka Regency, Indonesia, consisting of 23 students in class X IPA-2. This research is a pre-research of the 4P development design study adapted from the Thiagarajan model, et al. namely: (1) Definition; (2) Design; (3) Development; and (4) deployment. In this study, the stages carried out are limited to stage 3, namely development. The deployment phase will be carried out again later. The method used in this study is qualitative method with several data collection techniques in the form of tests of students' mathematical proving abilities in logarithmic material, interviews, and teaching material validation questionnaires. Based on the results of the study, it showed that teaching materials were in the appropriate category with a very good predicate with a percentage of 88.93% from material experts and in the appropriate category with a good predicate of 85.08% from media experts. The results of the practicality test on students amounted to 82.5% indicating that the teaching materials that have been made have a practicality category with a good predicate.
本研究旨在设计基于数学证明的对数教材。本研究的对象是印度尼西亚 Majalengka 行政区 SMA 1 Sumberjaya 的 23 名学生,包括 23 名 IPA-2 年级的学生。本研究是根据 Thiagarajan 等人的模型改编的 4P 开发设计研究的预研究,即:(1) 定义;(2) 设计;(3) 开发;(4) 部署。在本研究中,所进行的阶段仅限于第 3 阶段,即开发阶段。部署阶段将在以后再次进行。本研究采用的方法是定性方法,通过对学生在对数教材中的数学证明能力测试、访谈和教材验证问卷等形式收集数据。研究结果表明,教材专家认为教材属于 "适当 "类,"非常好 "的比例为 88.93%;媒体专家认为教材属于 "适当 "类,"好 "的比例为 85.08%。对学生进行的实用性测试结果为 82.5%,这表明所编写的教材属于实用性类别,并具有良好的前提条件。
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引用次数: 0
Effects of Perceived Mathematics Connection on Mathematics Motivation: Mediating Role of History of Mathematics Concepts 感知数学联系对数学学习动机的影响:数学概念史的中介作用
Pub Date : 2024-02-07 DOI: 10.56855/ijmme.v2i1.898
Bannor Gyasi Alfred, Arthur Yarhands Dissou, Obeng Benjamin Adu
The present study assessed the mediating effects of history of mathematics concepts on the relationship between mathematics connection and mathematics motivation. The study was a descriptive survey carried out on 390 students randomly selected from Asuoso Senior High School in the Offinso-North District of Ghana’s Ashanti region. Data was collected using Likert type structured questionnaires. Reliability analysis was computed in SPSS (V. 23) and confirmatory factor analysis was computed in AMOS (V. 23). In addition, average variance extracted (AVE), convergent validity, and discriminant validity were computed in Microsoft Excel from factor loadings. Also, composite reliability was calculated at https://www.thestatisticalmind.com/composite-reliability/. Structural Equation Modelling (SEM) was computed in Amos (V. 23) to determine direct, and mediating effects among the main constructs. The study found that mathematics connection positively and significantly influenced mathematics motivation of senior high school students. The indirect effects of mathematics connection on mathematics motivation through history of mathematics concepts was positive and significant. The study recommended that mathematics teachers should desist from merely topic explanations and rote memorization of solution procedures. They should rather make mathematics connections and history of mathematics concepts imminent in their lesson planning and delivery. To implement this, mathematics topics should be linked to real-life scenarios, other subjects, and students’ lives, and the history behind such concepts are explained in plain language. Not only teachers, NaCCA should ensure that the mathematics syllabus and textbooks for senior high schools have incorporated real-life scenarios as well as the historical background of concepts to ensure learners develop the interest and motives for studying mathematics.
本研究评估了数学史概念对数学联系与数学学习动机之间关系的中介效应。本研究是一项描述性调查,随机选取了加纳阿散蒂地区奥芬索北区阿苏索高级中学的 390 名学生作为调查对象。数据采用李克特式结构问卷收集。用 SPSS(V. 23)进行了信度分析,用 AMOS(V. 23)进行了确证因子分析。此外,还在 Microsoft Excel 中根据因子载荷计算了平均方差提取率(AVE)、收敛效度和区分效度。此外,还计算了 https://www.thestatisticalmind.com/composite-reliability/ 的综合信度。用 Amos(V.23)计算了结构方程模型(SEM),以确定主要建构之间的直接效应和中介效应。研究发现,数学联系对高中生的数学学习动机有积极而显著的影响。通过数学概念史,数学联系对数学学习动机的间接影响是积极和显著的。研究建议,数学教师不应仅仅讲解题目和死记解题步骤。数学教师在备课和授课时,应将数学联系和数学史概念放在首位。要做到这一点,数学题目应与现实生活场景、其他学科和学生的生活相联系,并用通俗易懂的语言解释这些概念背后的历史。不仅是教师,NaCCA 还应确保高中数学教学大纲和教科书纳入现实生活场景和概念的历史背景,以确保学习者培养学习数学的兴趣和动机。
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引用次数: 0
Empowering Students in the Digital Era: An Analysis of Interactive E-Modules' Effect on Digital Mathematical Communication 数字化时代赋予学生权力:互动电子模块对数字数学交流的影响分析
Pub Date : 2023-06-16 DOI: 10.56855/ijmme.v1i02.401
Weylin, H. Raharjo, Arif Abdul Haqq, Vahid Norouzi Larsari
Students' mathematical digital communication abilities are paramount in the current digital era, yet many continue encountering difficulties. This study focuses on using interactive e-modules as an innovative learning medium to enhance these abilities. Adopting a quantitative experimental approach, this research involved grade 8students from SMP Negeri 1 Ciwaringin during the 2022/2023 academic year, allocating them into control and experimental groups. The study aimed to evaluate student responses to the e-module, compare students' mathematical digital communication abilities before and after the module's implementation, and determine the effectiveness of the e-module. The study's results showed a significant improvement in students' abilities, with a 75.5% positive response to the e-module and an average student score increase from 36.63 (pretest) to 72.56 (posttest). An N-Gain rise of 56.62% demonstrated the effectiveness of the e-module. These findings solidify the interactive e-module as a suitable learning medium that increases student enthusiasm and participation in mathematical learning. Thus, this research significantly contributes to mathematics education, demonstrating that interactive e-modules can effectively overcome challenges in teaching mathematical digital communication.
在当今的数字时代,学生的数学数字交流能力是至关重要的,但许多人仍然遇到困难。本研究的重点是利用互动式电子模组作为一种创新的学习媒介来提升这些能力。本研究采用定量实验的方法,将我校2022/2023学年的8年级学生分为对照组和实验组。本研究旨在评估学生对电子模块的反应,比较模块实施前后学生的数学数字沟通能力,并确定电子模块的有效性。研究结果显示,学生的能力有了显著的提高,75.5%的学生对电子模块有积极的反应,学生的平均分数从36.63分(测试前)提高到72.56分(测试后)。n增益上升56.62%,证明了电子模块的有效性。这些发现巩固了互动电子模块作为一种合适的学习媒介,可以提高学生对数学学习的热情和参与。因此,本研究对数学教育有重要的贡献,表明互动式电子模块可以有效地克服数学数字交流教学中的挑战。
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引用次数: 1
Mathematical induction, transfinite induction, and induction over the continuum 数学归纳法、超限归纳法和连续统上的归纳法
Pub Date : 2023-06-14 DOI: 10.56855/ijmme.v1i02.385
Denik Agustito, Sukiyanto Sukiyanto, K. S. Kuncoro
This article examines three types of induction methods in mathematics: mathematical induction, transfinite induction, and induction over the continuum. If a statement holds true for all natural numbers, it is proven using mathematical induction. If a statement holds true for all ordinal numbers, it is proven using transfinite induction. Since induction over the continuum cannot be applied to a statement, when something is said to be proven true for every point in [a, b), the proof is done using induction over the continuum.
本文探讨了数学中的三种归纳法:数学归纳法、超限归纳法和连续统归纳法。如果一个命题对所有自然数都成立,则用数学归纳法证明它。如果一个命题对所有序数都成立,则用超限归纳法证明它。由于连续统上的归纳法不能应用于一个陈述,当某件事被证明对[a, b)中的每一点都为真时,证明是用连续统上的归纳法来完成的。
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引用次数: 0
Five Priority Character Values: Content Analysis in The Independent Curriculum Mathematics Textbook in Indonesia 印尼独立课程数学教材的内容分析
Pub Date : 2023-06-06 DOI: 10.56855/ijmme.v1i02.330
R. Ismail, Okky Riswandha Imawan
Character education aims to prepare good character in welcoming better generations in the future. In Indonesia, there are five core values that form the core of the overall grades for secondary school education. This study aims to describe the five main values or characters in the teacher's manual, the five main character values in the student manual, and the suitability of the five main character values in the Independent Curriculum textbooks for teacher manuals and student manuals. This research is content analysis research with a qualitative approach through four stages, namely data acquisition, data reduction, inference, and data analysis. The source of the research data was a teacher's guide Mathematics textbook and a student guide on the Independent Curriculum in junior high schools. The unit of analysis is the five main values or characters contained in the textbook. The results of the study show that: (1) the teacher's manual develops all the character values analyzed, but has not developed religious values to the fullest; (2) the student manual develops all character values analyzed, but has not developed religious values to the fullest; and (3) the character values in the teacher's guide and student guide math textbooks are appropriate, although some characters appear in small percentage
品格教育的目的是培养良好的品格,以迎接未来更好的一代。在印度尼西亚,有五个核心价值观构成了中学教育总体成绩的核心。本研究旨在描述教师手册中的五种主要价值观或特征,学生手册中的五种主要价值观,以及独立课程教科书中五种主要价值观对教师手册和学生手册的适用性。本研究采用定性方法,通过数据采集、数据约简、推理和数据分析四个阶段进行内容分析研究。研究数据的来源是一本初中数学教师指南教材和一本初中自主课程学生指南。分析的单位是教科书中包含的五个主要价值或特征。研究结果表明:(1)教师手册开发了所分析的所有品格价值观,但没有充分开发宗教价值观;(2)学生手册发展了所分析的所有性格价值,但没有充分发展宗教价值;(3)教师导读和学生导读数学教材中的字符值是适当的,尽管有些字符出现的比例很小
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引用次数: 1
Analysis of Character Education Values on the Learning Achievement of Elementary School Teacher Candidates 品格教育价值观对小学教师候选人学习成绩的影响分析
Pub Date : 2023-06-06 DOI: 10.56855/ijmme.v1i02.331
Okky Riswandha Imawan, R. Ismail
An elementary school teacher should have good character first to be able to educate the character of his students. The education curriculum for prospective Indonesian elementary school teachers in Indonesia should include character education in order to produce character-educated graduates. The Association of Lecturers of Education for prospective Indonesian Elementary School Teachers has formulated learning outcomes according to the current curriculum. It is necessary to evaluate the formulation of Learning Outcomes adopted by all prospective Indonesian Elementary School Teacher Education study programs. The purpose of this study is to reveal the content of character values ​​in the formulation of learning outcomes for Indonesian elementary school teacher candidates in Indonesia, their suitability with the cognitive approach in character education, and suitability with the socio-cognitive approach in character education. This research is a content analysis research with a qualitative approach through four stages, namely data acquisition, data reduction, inference, and data analysis. The object of this research is the educational learning achievement formula book for prospective Indonesian elementary school teachers published in 2015. The unit of analysis is the character values contained in the educational learning achievement formula book for prospective Indonesian elementary school teachers. The results showed that there were 11 values ​​out of a total of 16 target values ​​in character building at the tertiary level, namely obedience to worship, responsibility, discipline, work ethic, independence, synergy, justice, critical, creative and innovative, compassion and concern, and nationalism, apart from that the formulation of learning outcomes is also in accordance with the cognitive approach in character education which has been listed on the general skills aspect which corresponds to Level 6 of moral development (Kohlberg's cognitive approach), besides that the formulation of learning achievements is in accordance with the approach socio-cognitive in character education has been listed on the affective aspect.
小学教师首先要有良好的品格,才能教育学生的品格。印尼未来小学教师的教育课程应包括品格教育,以培养具有品格教育的毕业生。印尼准小学教师教育讲师协会根据现行课程制定了学习成果。有必要评估所有未来印尼小学教师教育研究计划所采用的学习成果的制定。本研究的目的在于揭示印尼小学教师候选人品格价值观在学习成果制定中的内容、与认知品格教育方法的契合度,以及与社会认知品格教育方法的契合度。本研究采用定性方法,通过数据采集、数据约简、推理和数据分析四个阶段进行内容分析研究。本研究的对象是2015年出版的印尼未来小学教师教育学习成就公式书。分析的单位是印尼小学教师教育学习成就公式书中所包含的品格价值观。结果显示,在高等教育的16项品格建设目标价值观中,有11项价值观,分别是服从崇拜、责任、纪律、职业道德、独立、协同、正义、批判、创造和创新、同情和关怀以及民族主义。除此之外,学习成果的形成也符合人格教育中在一般技能方面所列出的与道德发展第6层相对应的认知方法(Kohlberg的认知方法),学习成就的形成也符合人格教育中在情感方面所列出的社会认知方法。
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引用次数: 0
Effectiveness of E-Worksheets on Problem-Solving Skills: A Study of Students' Self-Directed Learning in the Topic of Ratios 电子工作表对问题解决能力的有效性:比例主题学生自主学习的研究
Pub Date : 2023-06-06 DOI: 10.56855/ijmme.v1i02.333
Esti Harini, Almira Nurul Islamia, Betty Kusumaningrum, Krida Singgih Kuncoro
This study investigates the effectiveness of E-Worksheets in enhancing students' problem-solving skills, with a specific focus on self-directed learning, in the topic of ratios. The research examines the impact of technology-based learning tools on students' ability to solve problems and explores the relationship between self-directed learning and problem-solving abilities. The study employs a control group design, comparing the performance of students using E-Worksheets with those in a control group. The findings indicate that the use of E-Worksheets significantly improves students' problem-solving skills compared to the control group. Moreover, the analysis reveals a positive association between students' level of self-directed learning and their problem-solving abilities. These findings support the integration of technology in the learning process to create interactive and engaging experiences that foster problem-solving skills. The study emphasizes the importance of cultivating students' self-directed learning and recommends strategies for educators to promote independent problem-solving and collaboration among students. The implications of this research contribute to the understanding of the role of E-Worksheets and self-directed learning in enhancing problem-solving skills and provide valuable insights for future research and educational practices.
本研究调查了电子工作表在提高学生解决问题的能力方面的有效性,特别关注自我指导学习,在比率的主题中。本研究考察了基于技术的学习工具对学生解决问题能力的影响,并探讨了自主学习与解决问题能力之间的关系。该研究采用了控制组设计,将使用电子工作表的学生与控制组的学生进行比较。研究结果表明,与对照组相比,电子工作表的使用显著提高了学生解决问题的能力。此外,分析还揭示了学生自主学习水平与解决问题能力之间的正相关关系。这些发现支持在学习过程中整合技术,以创造互动和吸引人的体验,培养解决问题的能力。该研究强调了培养学生自主学习的重要性,并为教育工作者推荐了促进学生独立解决问题和合作的策略。本研究的意义有助于理解电子工作表和自主学习在提高解决问题能力方面的作用,并为未来的研究和教育实践提供有价值的见解。
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引用次数: 1
期刊
International Journal of Mathematics and Mathematics Education
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