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Using CUBES strategy in a remote setting for primary mathematics word problems 在远程设置中使用CUBES策略解决初级数学单词问题
Pub Date : 2023-01-02 DOI: 10.29408/jel.v9i1.6864
Christina Teo Lian Wan, N. Abdullah
Various research has been carried out worldwide over the years to identify ideal methods that are helpful to pupils when solving mathematical word problems. This study aims to examine the use of the CUBES Maths Strategy, a mnemonic device, to solve word problems and was conducted in a remote setting. An action research approach using a mixed method research was conducted where all data collected were analysed both quantitatively and qualitatively. The participants involved were pupils from a small local government primary school, aged between 8 and 9. Pupils’ test results from the given pre and post-tests were quantitatively analysed using Wilcoxon Signed-Rank Test, which concluded that there was no significant change in the difference in test scores. Newman’s Error Analysis interview was conducted to investigate the source of errors committed by the pupils, which concluded that the most prominent type of error made is the Comprehension error, followed by the Transformation error. From the observations and reflections, it can be deduced that, as the research was done in a remote setting, the use of the CUBES Maths Strategy was not fully utilised. These results could be based on the interactions between teachers and students during remote online learning.
多年来,世界各地进行了各种研究,以确定有助于学生解决数学单词问题的理想方法。这项研究的目的是检查使用立方体数学策略,一个助记器,解决文字问题,并在远程设置进行。采用混合方法的行动研究方法进行了研究,其中收集的所有数据都进行了定量和定性分析。参与者是当地一所小型公立小学的学生,年龄在8到9岁之间。使用Wilcoxon sign - rank test对给定的前后测试的学生测试结果进行定量分析,得出的结论是测试成绩的差异没有显著变化。纽曼的错误分析访谈是为了调查学生犯错误的来源,得出的结论是,最突出的错误类型是理解错误,其次是转换错误。从观察和反思中,可以推断出,由于研究是在远程设置中完成的,立方体数学策略的使用没有得到充分利用。这些结果可以基于远程在线学习中教师和学生之间的互动。
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引用次数: 0
Developing an electronic module based on mathematical literacy to enhance students' mathematical reasoning 开发基于数学素养的电子模块,提高学生的数学推理能力
Pub Date : 2023-01-02 DOI: 10.29408/jel.v9i1.6915
R. Marsitin, N. R. Sesanti
This study aims to produce an e-module based on mathematical literacy with a valid, effective, and feasible problem-based learning approach to improve students' mathematical reasoning in multivariable calculus material. This research used a development method with the stages: analysis, design, development, and evaluation. The research subjects involved fifth-semester students' mathematics education department. Small group trials with 17 students and large group trials with 35 students. The research instruments included validation sheets, student worksheets, questionnaires, and mathematical reasoning ability test questions. Data collection used the results of the validation as validity, test results as effectiveness, and the results of the questionnaire as feasibility. Data analysis was descriptively and qualitatively. The research produced an e-module based on mathematical literacy with a problem-based learning approach that is valid, very effective, and very feasible for improving students' mathematical reasoning abilities in multivariable calculus material. The developed e-module has the potential for significant differences and increases mathematical reasoning abilities. In addition, e-module can be used as an alternative solution to electronic teaching.
本研究旨在以一种有效、有效、可行的问题学习方法,制作一个基于数学素养的电子模块,以提高学生在多变量微积分教材中的数学推理能力。本研究采用的开发方法分为分析、设计、开发和评估四个阶段。研究对象为五学期数学教育系学生。17名学生的小组试验和35名学生的大组试验。研究工具包括验证表、学生工作表、调查问卷和数学推理能力测试问题。数据收集使用验证结果作为效度,测试结果作为有效性,问卷结果作为可行性。数据分析采用描述性和定性方法。本研究制作了一个基于数学素养的电子模块,采用基于问题的学习方法,对于提高学生在多变量微积分材料中的数学推理能力是有效的,非常有效的,也是非常可行的。开发的电子模块具有显著差异和提高数学推理能力的潜力。此外,e模块可以作为电子教学的替代方案。
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引用次数: 2
The geometric contents and the values of local batik in Indonesia 印尼当地蜡染的几何成分和价值
Pub Date : 2023-01-02 DOI: 10.29408/jel.v9i1.6919
N. Noerhasmalina, B. Khasanah
The culture was carefully associated with regular lifestyles, such as inside the discipline of education. However, there needs to be awareness among school members of the absorption of the culture around them through learning, especially mathematics. Therefore, this study aims to explore the geometric contents in the form of geometric transformations and the values of local batik Indonesia. This study was a qualitative study with an ethnographic approach. The techniques used in this study are observation, literature review, and interviews with Lampung cultural and batik craftsmen. Observations were made by observing batik activities and Lampung batik motifs and conducting interviews to find the mathematical and philosophical elements contained in them. The data were then completed and checked for correctness based on the results from the literature review. The outcomes of this observation imply that the human beings of Lampung utilize the idea of geometric transformation in making batik motifs, which include the Siger motif, pohon hayat motif, and kapal motif. The idea of geometric transformation used is reflection, dilation, and translation. Thus, this research can be a reference for learning mathematics and exploring other Lampung batiks motifs.
这种文化被小心翼翼地与常规的生活方式联系在一起,比如在教育领域。然而,学校成员需要意识到通过学习吸收周围的文化,特别是数学。因此,本研究旨在探讨印尼当地蜡染以几何变换的形式所包含的几何内容,以及蜡染的价值。本研究采用民族志方法进行定性研究。本研究采用观察法、文献回顾法、访谈楠榜文化及蜡染工匠等方法。通过观察蜡染活动和楠榜蜡染图案进行观察,并进行采访,以找到其中包含的数学和哲学元素。然后根据文献综述的结果完成数据并检查其正确性。这一观察结果表明,楠榜岛的人类利用几何变换的思想制作蜡染图案,包括Siger图案、pohon hayat图案和kapal图案。所使用的几何变换思想是反射、膨胀、平移。因此,本研究可为学习数学及探索其他楠榜蜡染图案提供参考。
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引用次数: 1
Exploring high school teacher’s design of rich algebra tasks 探讨高中教师丰富代数任务的设计
Pub Date : 2023-01-02 DOI: 10.29408/jel.v9i1.5851
Ajeng Gelora Mastuti, L. Prayitno
The phenomenon in schools today is that teachers rarely change their tasks. However, the teacher's activities to change their tasks, build students' arguments, support solutions, and maintain arguments without long debates are important and exciting things to learn. This study explores the ideas of high school teachers about task design and practice in teaching mathematics. The authors surveyed twelve high school teachers who teach mathematics in East Java Province. First, the authors conducted preliminary observations to observe the design of mathematics teacher tasks for six months in eight schools. Second, the authors state that teachers are engaging and consistent in designing rich algebra tasks. Third, the authors examine the teacher's ideas through direct observation and unstructured interviews. The results show how teachers' ideas about task design enhance students' creative thinking by reforming tasks from textbooks into rich mathematics tasks. The design of the task carried out by the teacher is to create to stimulate creative thinking. The teachers also use their knowledge and understanding of the material and curriculum to modify mathematics tasks in students' mathematics books. The task given by the teacher is to improve students' reasoning, not just memorize formulas or properties.
当今学校的现象是教师很少改变他们的任务。然而,教师改变他们的任务,建立学生的论点,支持解决方案,并在没有长时间辩论的情况下维持论点的活动是重要和令人兴奋的学习内容。本研究探讨高中教师在数学教学中任务设计与实践的观念。作者调查了东爪哇省12名教数学的高中教师。首先,作者在8所学校进行了为期6个月的数学教师任务设计的初步观察。其次,作者指出,教师在设计丰富的代数任务时是参与和一致的。第三,作者通过直接观察和非结构化访谈来检验教师的思想。结果表明,教师的任务设计理念是如何通过将教科书中的任务改造为丰富的数学任务来增强学生的创造性思维的。教师进行的任务设计是为了创造,激发创造性思维。教师还利用他们对教材和课程的知识和理解来修改学生数学课本中的数学任务。老师布置的任务是提高学生的推理能力,而不仅仅是记忆公式或性质。
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引用次数: 5
Junior high school students’ mathematical literacy in terms of mathematical self-efficacy 初中生数学素养的数学自我效能感
Pub Date : 2023-01-02 DOI: 10.29408/jel.v9i1.7140
Fifi Khairun Nisa, Elly Arliani
Mathematical literacy and self-efficacy are critical in learning, especially mathematics. In contrast to previous studies, which only describe mathematical literacy and self-efficacy, this study aims to describe the ability of mathematical literacy in terms of mathematical self-efficacy. This research was a survey research qualitative and quantitative approaches. The results of this study indicate that the mathematical literacy abilities of grade VIII students in junior high school in Yogyakarta with sample 436 students are in a low category and the mathematical self-efficacy in the medium category. The higher the students’ mathematical self-efficacy, the higher their mathematical literacy. Students with high mathematical self-efficacy also tend to keep their maximum effort because they have the confidence to solve math literacy questions. Students with medium mathematical self-efficacy tend to doubt their abilities when facing difficult mathematical literacy questions. Students with low mathematical self-efficacy tend not to be confident in solving them because they think they lack mathematical abilities. This research is expected to map the mathematical literacy abilities of junior high school students in Yogyakarta. Besides, it can make material for reflection in world education to improve it.
数学素养和自我效能感对学习至关重要,尤其是数学。与以往的研究只描述数学素养和自我效能感不同,本研究旨在从数学自我效能感的角度描述数学素养的能力。本研究采用定性与定量相结合的调查研究方法。本研究结果显示,样本436名日惹市初八年级学生的数学素养能力处于低类别,数学自我效能感处于中等类别。数学自我效能感越高,学生的数学素养越高。数学自我效能高的学生也倾向于保持最大的努力,因为他们有信心解决数学素养问题。中等数学自我效能的学生在面对困难的数学素养问题时容易怀疑自己的能力。数学自我效能感低的学生认为自己缺乏数学能力,对解题没有信心。本研究预计将绘制日惹市初中生数学读写能力的地图。此外,它还可以为世界教育的改进提供反思的材料。
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引用次数: 0
Developing numeracy module based on local culture in Indonesia 开发基于印尼当地文化的计算模块
Pub Date : 2023-01-02 DOI: 10.29408/jel.v9i1.6883
M. Muliana, H. Nufus, N. Nuraina, Nur Mahyuni, Asmaul Husna
Using the numeracy module helps students learn mathematics by providing learning content and improving their motivation. However, it was found that only a few researches were conducted to develop a module designed based on local cultures, like Aceh culture. This study aimed to develop a module based on Aceh culture that supported numeracy. The design of this study was based on a research and development procedure in which the developed module has gone through the stages of analysis, design, development, implementation, and evaluation. The Likert scale type of questionnaire was used as it was very effective in analyzing and gathering views from language and media experts and students. The results indicated that the integration of local culture in elementary school students’ modules was evaluated to be valid by teaching module experts in terms of media, materials, and language. In addition, the developed-local culture module was regarded as feasible and effective, identified from students’ views as having average scores of 3.58 or 89.77 %. The feasibility and the effectiveness of the elementary school’s literacy and numeracy module based on local culture were very appropriate to be applied in the classroom.
数学模块通过提供学习内容和提高学习动机来帮助学生学习数学。然而,发现只有少数研究进行了开发基于当地文化的模块,如亚齐文化。这项研究旨在开发一个基于亚齐文化的模块,以支持计算能力。本研究的设计是基于一个研究和开发的过程,其中开发的模块经历了分析、设计、开发、实施和评估的阶段。使用李克特量表类型的问卷,因为它在分析和收集语言和媒体专家和学生的观点方面非常有效。结果显示,教学模块专家从媒介、材料、语言三个层面对小学生模块中地方文化的整合进行了有效评价。此外,发达的地方文化模块被认为是可行和有效的,从学生的观点来看,平均得分为3.58或89.77%。基于当地文化的小学识字和算术模块的可行性和有效性非常适合在课堂上应用。
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引用次数: 0
The impact of the MathMagic learning method on students’ mathematics cognitive learning outcomes MathMagic学习方法对学生数学认知学习成果的影响
Pub Date : 2023-01-02 DOI: 10.29408/jel.v9i1.6838
Desy Nursinta Al Kharomah, M. Abduh
Low cognitive learning outcomes of students can hinder student learning processes. This obstacle occurs because the learning method has yet to facilitate student learning trajectories resulting in low cognitive mathematics learning outcomes for students. The purpose of this research was to determine the impact of the MathMagic learning method on the mathematics cognitive learning outcomes of the students. The method used in this research was a quasi-experimental research design with a nonequivalent control group design. Data collection was done by test technique of students' cognitive learning outcomes. Data analysis techniques in this study used instrument tests in the form of validity and reliability tests, prerequisite tests in the form of normality tests and homogeneity tests, and hypothesis tests in the form of independent sample t-tests. The results show that the MathMagic learning method influenced students' cognitive learning outcomes in mathematics, especially in adding fractions with different denominators. This MathMagic learning method effectively improves understanding of the basic addition of fractions with unlike denominators.
学生的认知学习成果低会阻碍学生的学习过程。这种障碍的发生是因为学习方法尚未促进学生的学习轨迹,导致学生的认知数学学习成果较低。本研究的目的是确定MathMagic学习方法对学生数学认知学习结果的影响。本研究采用准实验研究设计,非等效对照组设计。数据收集采用学生认知学习成果测试技术。本研究的数据分析技术采用了效度和信度检验形式的工具检验,正态性检验和齐性检验形式的前提检验,独立样本t检验形式的假设检验。结果表明,MathMagic学习方法对学生的数学认知学习效果有显著影响,尤其是对不同分母分数的加法学习效果。这种MathMagic学习方法有效地提高了对不同分母分数的基本加法的理解。
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引用次数: 0
Students’ creative thinking skills in solving PISA-like mathematics problems related to quantity content 学生在解决与数量内容相关的类似pisa的数学问题时的创造性思维能力
Pub Date : 2023-01-02 DOI: 10.29408/jel.v9i1.6975
Shalshabilla Shafa, Z. Zulkardi, R. Putri
The introduction of the Merdeka curriculum mandates that teachers emphasize the development of creative thinking abilities and incorporate learning into local contexts. For this reason, this study aims to describe the creative thinking skills of class VII students in answering PISA-like mathematics problems on quantity in the context of Palembang tourism using the Pendidikan Matematika Realistik Indonesia (PMRI) approach. This study used a descriptive study with 28 students from junior high school number 26 in Palembang. Tests, interviews, and observations were used to collect data. The analytical method used is descriptive. The PMRI technique learning is carried out in this study by providing student worksheets. The task of students to discuss each other's problems with different levels of difficulty, followed by two PISA-like mathematics problems in quantity content and the context of Palembang tourism. The results showed that students' average creative thinking skills were at a moderate level, with fluency and elaboration indicators appearing the most. However, only a few students have indicators of originality. Overall, the creative thinking ability of grade VII students in answering PISA-like mathematics problems in the quantity content and Palembang tourism by utilizing the PMRI approach is good because students can imagine questions because they use content and contexts that they have experienced.
默迪卡课程的引入要求教师强调创造性思维能力的发展,并将学习融入当地环境。因此,本研究旨在利用PMRI方法描述七年级学生在回答巨港旅游背景下类似pisa的数量数学问题时的创造性思维能力。本研究采用描述性研究,对象为巨港市第26初中28名学生。采用测试、访谈和观察等方法收集数据。所使用的分析方法是描述性的。本研究以提供学生工作表的方式进行PMRI技术学习。学生们的任务是讨论彼此不同难度的问题,其次是两个类似pisa的数学问题,在数量内容和巨港旅游的背景下。结果表明,学生的创造性思维能力平均处于中等水平,流畅性和阐述性指标出现最多。然而,只有少数学生具有独创性。总体而言,七年级学生在使用PMRI方法回答数量内容和巨港旅游中类似pisa的数学问题时的创造性思维能力是好的,因为学生可以使用他们经历过的内容和情境来想象问题。
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引用次数: 0
Pre-service mathematics teachers' numeracy in Acehnese culture-based minimum competence assessment 基于亚齐文化的职前数学教师计算能力评估
Pub Date : 2023-01-02 DOI: 10.29408/jel.v9i1.6765
M. Marhami, R. Rohantizani, I. Muhammad, Samsidar Samsidar, Intan Anggraini
Pre-service mathematics teachers must have good numeracy skills because this ability is needed in all aspects of life, home, work, and society. This study aims to identify the numeracy skills of pre-service teachers on the Acehnese culture-based Minimum Competency Assessment (MCA). A descriptive quantitative method was used in this study with 24 numeracy MCA questions based on Acehnese culture as an instrument. The subject was 158 mathematics education students from three Aceh universities in their fourth and sixth semesters. The data were analyzed quantitatively and categorized based on high, medium, and low levels. The results showed that the overall numeracy ability of pre-service mathematics teachers is 50.06% in the medium category. At the level of knowing and applying, they received 69.38% and 46.62%, which were in the medium category. Meanwhile, they only obtained 39.76% in the low category for reasoning level. It indicated the student’s lack of ability in higher-order thinking. These results are expected to be input for educators to arrange learning that develops the numeracy skills of pre-service teachers.
职前数学教师必须具备良好的数学技能,因为这种能力在生活、家庭、工作和社会的各个方面都需要。本研究旨在通过亚齐文化基础的最低能力评估(MCA)来确定职前教师的计算技能。本研究采用描述性定量方法,以亚齐文化为工具,共24道数学MCA题。研究对象是来自亚齐三所大学的158名第四和第六学期的数学教育学生。对数据进行定量分析,并根据高、中、低水平进行分类。结果表明,职前数学教师的整体计算能力为50.06%,处于中等水平。在了解和应用水平上,分别有69.38%和46.62%的学生处于中等水平。与此同时,他们在推理水平低的类别中仅获得39.76%。这表明学生缺乏高阶思维能力。这些结果预计将输入教育工作者安排学习,以发展职前教师的计算技能。
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引用次数: 0
The impact of undergraduate students’ mathematics anxiety and self-concept on their self-regulated learning and academic achievement 大学生数学焦虑和自我概念对自主学习和学业成绩的影响
Pub Date : 2023-01-02 DOI: 10.29408/jel.v9i1.6898
D. Cahyawati, N. Delima, M. Gunarto
Several types of research showed math anxiety as the learning outcome, but another showed that as the predictor variable. Math anxiety was predicted based on other variables, such as self-regulated learning and self-concept. Self-regulated learning is associated with academic achievement. This study aimed to obtain valid and significant indicators of each latent variable and to develop the structural model of those latent variables on students’ academic achievement. The research used an interval scale questionnaire to measure all latent variables except academic achievement. The PLS-SEM was applied by SmartPLS software. The structural model showed that math anxiety directly affected academic achievement but indirectly affected self-regulated learning, which is self-concept as the mediating variable. For students with low math anxiety, their self-regulated learning tends to be high by controlling their self-concept in math.
有几种类型的研究表明数学焦虑是学习的结果,但另一种研究表明数学焦虑是预测变量。数学焦虑的预测基于其他变量,如自我调节学习和自我概念。自律学习与学业成就有关。本研究旨在获得各潜变量的有效且显著的指标,并建立这些潜变量对学生学业成就的结构模型。本研究除学业成绩外,其余潜变量均采用区间量表进行测量。采用SmartPLS软件对PLS-SEM进行分析。结构模型显示,数学焦虑直接影响学业成绩,但间接影响自我调节学习,其中自我概念为中介变量。对于数学焦虑程度低的学生来说,通过控制数学自我概念,他们的自我调节学习倾向于高。
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引用次数: 0
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