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Junior high school students’ mathematical reasoning skills on integer using PMRI and collaborative learning 运用PMRI和协作学习对初中生整数数学推理能力的影响
Pub Date : 2022-07-01 DOI: 10.29408/jel.v8i2.4779
Mutia Khoirunnisa, R. Putri
Students need to have good mathematical reasoning skills when learning integer material. The utilization of video media and collaborative learning through the PMRI technique can be used in learning activities to improve mathematical reasoning skills. This study aims to determine mathematical reasoning skills after implementing the learning process using video media with the PMRI approach and collaborative learning integer material for class VII students. This study is descriptive research in which participants are pupils in class VII SMP Srijaya Negara Palembang has 23 students (10 females and 13 males). This study consisted of two meetings. The first meeting focused on the learning process using video material with PMRI and collaborative learning. The second meeting was used to test the results. This study employs observational data gathering techniques, written tests, interviews, and descriptive data analysis approaches. The findings of a study are combining video media and the PMRI technique and collaborative learning on integer subjects in class VII. The skills of students in class VII to reason mathematically was discovered. On the subject of excellent integers, SMP Srijaya Negara Palembang students scored an average of 69.61. The sign of creating assumptions appears to be the most frequent in this study, while the indicator of concluding appears to be the least frequent. Students' mathematical thinking skills can be improved by using video media in conjunction with PMRI and Collaborative Learning during the learning process.
学生在学习整数材料时需要具备良好的数学推理能力。利用视频媒体和通过PMRI技术进行协作学习可以在学习活动中提高数学推理能力。本研究旨在探讨七年级学生在采用PMRI方法和合作学习整型材料的视频媒体学习过程后的数学推理能力。这项研究是描述性研究,参与者是七年级的学生,在Srijaya Negara巨港SMP有23名学生(10名女生和13名男生)。这项研究包括两次会议。第一次会议的重点是使用PMRI视频材料和协作学习的学习过程。第二次会议用于测试结果。本研究采用观察性数据收集技术、笔试、访谈和描述性数据分析方法。一项研究的结果是将视频媒体和PMRI技术与七年级整数科目的协作学习相结合。发现七班学生的数学推理能力。在优秀整数这一课题上,斯里贾亚国家中学巨港分校的学生平均得分为69.61分。在这项研究中,创造假设的迹象似乎是最常见的,而结论的迹象似乎是最不常见的。在学习过程中,视频媒体结合PMRI和协作学习可以提高学生的数学思维能力。
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引用次数: 0
Interaction between RME-based blended learning and self-regulated learning in improving mathematical literacy 基于rme的混合学习与自主学习在提高数学素养中的交互作用
Pub Date : 2022-07-01 DOI: 10.29408/jel.v8i2.5751
Novita Sari, Z. Nuraeni, N. Sukmaningthias
Most prior studies on mathematical literacy (ML), self-regulated learning (SRL), and RME-based blended learning were carried out qualitatively. Therefore, it was necessary to test them with statistical inference. This study aimed to analyze the interaction between RME-based blended learning, conventional learning, and SRL in improving students' ML. The method used was quasi-experimental with a 2x2 factorial design. The population was students in grade 7 with a sample of 38 students (21 males and 17 females). RME-based blended learning was conducted in the experiment class, while conventional learning was in the control class. Self-regulated learning and mathematical literacy data were obtained from the questionnaire and test, respectively. Data were analyzed using the Adjusted Rank Transform Test with Two-Way ANOVA and Mann-Whitney U test. The result showed an interaction between RME-based blended learning, conventional learning, and SRL towards students' ML improvement. Students' ML improvement who received RME-based blended learning was higher than those who received conventional learning regarding the high level of SRL and vice versa at the low level. Furthermore, students' ML improvement with high SRL was slightly higher than those with low SRL after receiving RME-based blended learning and vice versa after getting conventional learning.
以往关于数学素养(ML)、自我调节学习(SRL)和基于rme的混合学习的研究大多是定性的。因此,有必要用统计推断来检验它们。本研究旨在分析基于rme的混合学习、传统学习和SRL在提高学生学习能力方面的相互作用。采用准实验方法,采用2x2因子设计。总体为7年级学生,样本为38名学生(21名男生,17名女生)。基于rme的混合学习在实验班进行,常规学习在对照班进行。自我调节学习和数学素养数据分别通过问卷和测试获得。数据分析采用双因素方差分析的调整秩变换检验和Mann-Whitney U检验。结果表明,基于rme的混合学习、传统学习和SRL对学生学习能力的提高具有交互作用。在SRL水平高的情况下,采用基于rme的混合学习的学生的ML改善高于采用常规学习的学生,在SRL水平低的情况下,反之亦然。此外,接受基于rmme的混合学习后,高SRL的学生的学习进步略高于低SRL的学生,而接受常规学习后,反之亦然。
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引用次数: 0
Students' creative thinking ability assisted augmented reality based on visualizer-verbalizer cognitive style 基于视觉化-语言化认知风格的学生创造性思维能力辅助增强现实
Pub Date : 2022-07-01 DOI: 10.29408/jel.v8i2.5693
A. Faradillah, Annisa Maulida
Creativity is the highest order of thinking, which leads students to generate new ways to find a solution to many unpredictable problems in the future. Although there are many studies on creative thinking ability, no research focused on augmented reality and visualizer-verbalizer cognitive style in creative thinking ability. This study aims to describe creative thinking ability assisted with augmented reality view from visualizer-verbalizer cognitive style. This study used a qualitative descriptive approach. The subjects of this study were selected four students' 52 from the 10th grade. The process of selecting this subject was analyzed by the Rasch Model analysis using Winsteps software version 3.73. The data were collected using Visualizer-Verbalizer Questionnaire (VVQ), a creative thinking ability test assisted with augmented reality and interview. The final scale from the visualizer scale has a Cronbach alpha value of 0.67, while the verbalizer scale has a Cronbach alpha value of 0.66. The results show that the visualizer students meet all the indicators of creative thinking ability: fluency, flexibility, originality, and elaboration. While the verbalizer students only meet fluency indicators or fluency and originality indicators in creative thinking ability. Therefore, based on this research analysis, teachers can pay more attention to the students' cognitive style in creative thinking ability.
创造力是思维的最高层次,它引导学生产生新的方法来找到解决未来许多不可预测问题的方法。虽然有很多关于创造性思维能力的研究,但没有研究关注增强现实和可视化-语言化认知方式对创造性思维能力的影响。本研究旨在从视觉化-语言化的认知方式来描述增强现实视角下的创造性思维能力。本研究采用定性描述方法。本研究的研究对象为4名10年级的52名学生。采用Winsteps 3.73版软件,采用Rasch模型分析法对选题过程进行分析。采用视觉化-语言化问卷(Visualizer-Verbalizer Questionnaire, VVQ),一种辅助增强现实和访谈的创造性思维能力测试。视觉化量表的最终量表的Cronbach alpha值为0.67,而言语化量表的Cronbach alpha值为0.66。结果表明,使用可视化工具的学生满足创造性思维能力的所有指标:流利性、灵活性、独创性和精细化。而语用型学生在创造性思维能力上只满足流利性指标或流利性和原创性指标。因此,基于这一研究分析,教师可以更加关注学生在创造性思维能力方面的认知风格。
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引用次数: 0
Prospective teachers' perceptions of didactic obstacles in the online mathematics learning 准教师对在线数学学习中教学障碍的认知
Pub Date : 2022-07-01 DOI: 10.29408/jel.v8i2.5740
T. R. Murniasih, V. Suwanti, S. Syaharuddin, R. Rahaju, N. Farida
The spread of the coronavirus has caused learning that was previously carried out offline to be online. It causes didactic obstacles in learning when implementing online learning. Research related to didactic obstacles has been widely studied from the perceptions of teachers and students but has not been widely studied from the point of view of prospective teachers. The purpose of this study is to investigate the didactic obstacles that arise in terms of the perceptions of prospective teachers in online mathematics learning. The method used in this research is descriptive qualitative. The research subjects were 18 prospective teachers divided into six groups, each consisting of three prospective teachers. The research locations were taken in two locations: East Java and Nusa Tenggara Timur (NTT). The instruments used include assignment sheets, field notes, field observations, and sheets for interviews with mathematics teachers in junior high schools. The triangulation technique compares the data from observations, interview recordings, and descriptions of answers. The research findings show that the biggest didactic obstacle occurs in the giving of too many assignments by the teacher to students. Giving too many assignments makes the quality of student work low. This result implies that teachers think giving students many assignments is natural so that all material is conveyed during the pandemic. It contradicts the perception of prospective teachers.
冠状病毒的传播使以前在线下进行的学习变成了在线学习。在实施在线学习时,会造成教学障碍。从教师和学生的角度对教学障碍进行了广泛的研究,但从未来教师的角度对教学障碍进行了广泛的研究。本研究的目的是调查未来教师在在线数学学习的认知方面出现的教学障碍。本研究采用描述定性方法。研究对象为18名准教师,分为6组,每组3名准教师。研究地点在两个地点:东爪哇和努沙登加拉帖木儿。所使用的工具包括作业表、实地笔记、实地观察和对初中数学教师的访谈表。三角测量技术比较来自观察、访谈记录和回答描述的数据。研究结果表明,最大的教学障碍是教师给学生布置的作业太多。布置太多作业会降低学生作业的质量。这一结果表明,教师认为给学生布置许多作业是很自然的,以便在疫情期间传达所有材料。这与未来教师的看法相矛盾。
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引用次数: 1
Unveiling belief and pedagogical content knowledge of prospective secondary mathematics teachers 揭示中学数学准教师的信念与教学内容知识
Pub Date : 2022-07-01 DOI: 10.29408/jel.v8i2.5096
S. Pagiling, A. Taufik
Prospective teachers' beliefs have a beneficial effect on their knowledge and actions. Furthermore, teachers' pedagogical content knowledge is an essential contributor to teachers' impact on students' academic outcomes. However, examining how prospective teachers' beliefs influence their pedagogical content knowledge is still unclear. The current study investigates prospective mathematics teachers' beliefs and pedagogical content knowledge. We recruited three undergraduate students in the mathematics department consisting of one male and two female participants in this study. By assigning two interviews, a test, and observation, we examined three prospective mathematics teachers' pedagogical content knowledge and their beliefs about the nature of mathematics, mathematics learning, and mathematics teaching. Prospective mathematics teachers' test, interview, and observation results were analyzed in three stages: data condensation, presentation, and conclusion drawing and verification. The findings point out that traditional beliefs (instrumentalist and platonist views) are more dominant in prospective teachers' beliefs about the nature of mathematics. Moreover, the more sophisticated prospective teachers' beliefs about the nature of mathematics, mathematics learning, and mathematics teaching are, the higher one's content knowledge and pedagogical content knowledge levels are. Implications of this study, mathematics teacher educators should assist and foster prospective teachers in developing constructivist or problem-solving beliefs.
未来教师的信念对他们的知识和行动有有益的影响。此外,教师的教学内容知识是教师影响学生学业成果的重要因素。然而,研究未来教师的信念如何影响他们的教学内容知识仍不清楚。本研究调查了准数学教师的信念与教学内容知识。我们招募了三名数学系的本科生,其中一男两女。通过两次访谈、一次测试和观察,我们考察了三位准数学教师的教学内容知识以及他们对数学本质、数学学习和数学教学的信念。对准数学教师的测试、访谈和观察结果进行数据浓缩、陈述、得出结论和验证三个阶段的分析。研究结果指出,传统信念(工具主义和柏拉图主义观点)在未来教师对数学本质的信念中更占主导地位。此外,准教师对数学本质、数学学习和数学教学的信念越成熟,其内容知识和教学内容知识水平也越高。本研究的启示是,数学教师教育者应协助和培养未来教师发展建构主义或解决问题的信念。
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引用次数: 3
Developing mathematics problems using local wisdom context of Maluku to improve students’ numeracy 运用马鲁古语的地方智慧情境发展数学问题,提高学生的计算能力
Pub Date : 2022-01-06 DOI: 10.29408/jel.v8i1.4524
Fahruh Juhaevah
Students' difficulty in solving numeracy problems is a problem that teachers must pay attention. Therefore, it needs media to help students improve their numeracy ability. The purpose of this study is to develop mathematics problems based on PISA (Programme for International Student Assessment) content and use local wisdom context in Maluku that obtained validity, practically, and effectively. Mathematics problems developed are expected to improve the numeration ability of junior high school students in Maluku. The study was research and development based on the Plomp model. The subject consists of 40 students (15 males and 25 females). The result showed that mathematics problems met validity criteria. The validity was tested using the Rasch model that consists of suitable, reliability, difficulty, and differentiation items. Then, it was validated based on experts in content, league, and media. All of them met validity criteria. Mathematics problems had met practically based on the user experience questionnaire (UEQ) that consisted of interest, clarity, efficiency, accuracy, stimulation, novelty, and prospered based on the system usability scale (SUS). Mathematics problems improve the student's numeration ability, as shown based on N-Gain 0.36. Thus, it effectively improves the numeracy ability of students in Maluku.
学生在解决计算问题上的困难是教师必须关注的问题。因此,需要借助媒体来帮助学生提高计算能力。本研究的目的是开发基于PISA(国际学生评估计划)内容的数学问题,并利用马鲁古当地的智慧背景,获得了有效性,实用性和有效性。数学问题的开发是为了提高马鲁古初中生的计算能力。这项研究是基于普洛姆普模型的研究和开发。该课题由40名学生组成(男15名,女25名)。结果表明,数学问题符合效度标准。采用适合度、信度、难易度、差异度四项组成的Rasch模型进行效度检验。然后,以内容专家、联赛专家、媒体专家为基础进行验证。它们都符合效度标准。基于用户体验问卷(UEQ)的数学问题在实践中得到了满足,该问卷由兴趣、清晰、效率、准确性、刺激、新颖性组成,并基于系统可用性量表(SUS)得到了发展。数学问题提高了学生的计算能力,如图N-Gain 0.36所示。从而有效地提高了马鲁古语学生的计算能力。
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引用次数: 3
The academic impact of online mathematics learning during COVID-19 for junior high school students 新冠肺炎期间初中生在线数学学习对学业的影响
Pub Date : 2022-01-06 DOI: 10.29408/jel.v8i1.4517
I. P. W. Ariawan
Until now, no research explicitly examines the academic impact on public junior high school students in Singaraja City. The actual condition of the academic impact of online mathematics learning is necessary to be revealed immediately. This information can be used as a basis for teachers designing and implementing mathematics learning to minimize or eliminate the negative impact of online learning. This study involved 507 public junior high school students distributed over four public schools in Singaraja City as the sample. This study used a questionnaire instrument consisting of 14 items, and the data were tabulated based on the responses entered on the google form. The study results showed that students experienced several academic impacts as a result of online learning of mathematics. The academic impacts that students most felt among others: the amount of mathematics material was hard to understand, students doubted the accountability of the grade obtained by their friends, decreased enthusiasm for learning, and students felt that their academic abilities were e not optimal. The conclusion obtained from this study is that online mathematics learning during COVID-19 had an academic impact on public junior high school students in Singaraja City.
到目前为止,还没有研究明确地考察了新加坡公立初中学生的学业影响。在线数学学习的学术影响的实际情况有必要立即揭示出来。这些信息可以作为教师设计和实施数学学习的基础,以尽量减少或消除在线学习的负面影响。本研究以分布在新加坡市4所公立学校的507名公立初中学生为样本。本研究采用问卷调查工具,共包含14个项目,并根据谷歌表格上的回答将数据制成表格。研究结果表明,在线数学学习对学生的学业产生了一定的影响。学生最感受到的学业影响:数学材料的数量难以理解,学生怀疑他们的朋友得到的分数的责任,学习热情下降,学生觉得他们的学术能力不是最佳的。本研究得出的结论是,新冠肺炎期间在线数学学习对新加坡市公立初中学生的学业产生了影响。
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引用次数: 1
Development of math efficacy scale for junior high school student in Indonesia 印尼初中生数学效能量表的开发
Pub Date : 2022-01-06 DOI: 10.29408/jel.v8i1.4522
Kemas Rahmat Mubarrak, Helli Ihsan, D. Z. Wyandini
Indonesian students are indicated to have a low math efficacy. Currently, no psychology scale has been created to measure the math efficacy of Indonesian students, especially for junior high school level students. This study aims to develop a math efficacy scale for junior high school level students or equivalent based on Indonesian students’ characteristics. The study used an exploratory sequential design with mixed methods. The results of qualitative analysis through focused group interviews on two small groups of eight students show that seven major themes were related to mathematics efficacy. Qualitative analysis as the basis for a scale development consisting of 33 items and is administered to 478 participants. The results of the quantitative analysis through validity test with Principal Component Analysis (PCA) shows that four dimensions appeared with total variance explained reaching 60.4%. The model was re-tested for compatibility with Confirmatory Factor Analysis (CFA) and obtained index values of p < 0.001 (χ2), 0.047 (SRMR), 0.907 (TLI), 0.918 (CFI), and 0.064 (RMSEA). The four dimensions have met the standard of a fit index with 23 items remaining. The validity test was also supported by Pearson's Product Moment correlation of 0.795 for convergent validity test with Math Attitude Scale (MAS) and divergent validity test of -0.331 with Mathematical SelfEfficacy and Anxiety Questionnaire (MSEAQ). The scale's reliability was very good, with Cronbach's alpha value of 0.918.
印尼学生的数学效能较低。目前,还没有一个心理学量表来衡量印尼学生的数学效能,特别是初中水平的学生。本研究旨在根据印尼学生的特点,开发一套适用于初中生或同等水平学生的数学效能量表。本研究采用混合方法的探索性序贯设计。通过对两组8名学生的焦点小组访谈进行定性分析的结果显示,七个主要主题与数学效能有关。定性分析作为量表开发的基础,包括33个项目,对478名参与者进行了管理。通过主成分分析(PCA)效度检验的定量分析结果表明,出现了四个维度,总方差解释达到60.4%。再用验证性因子分析(Confirmatory Factor Analysis, CFA)对模型进行相容性检验,得到p < 0.001 (χ2)、0.047 (SRMR)、0.907 (TLI)、0.918 (CFI)、0.064 (RMSEA)的指标值。四个维度都达到了适合指数的标准,还剩下23个项目。数学态度量表(MAS)的收敛效度检验和数学自我效能与焦虑问卷(MSEAQ)的发散效度检验均为-0.331,Pearson积矩相关系数为0.795。量表的信度很好,Cronbach's alpha值为0.918。
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引用次数: 1
Students’ mathematical reasoning skills on number pattern using PMRI and collaborative learning approach 运用PMRI和合作学习方法培养学生对数字模式的数学推理能力
Pub Date : 2022-01-06 DOI: 10.29408/jel.v8i1.4733
Siti Nabila, R. Putri
Students need to have good mathematical reasoning skills when learning number pattern material. The use of video media through the PMRI approach and collaborative learning can be applied in learning activities to have good mathematical reasoning skills. This study aims to determine mathematical reasoning skills after implementing the learning process using video media with the PMRI approach and collaborative learning on number pattern material for class VIII students. This research uses a descriptive type of research. The research subjects were students of class VIII.A, SMP Srijaya Negara Palembang, with 25 students (12 males and 13 females) out of a total of 39 students. Data collection techniques are observation, a written test consisting of two test questions, and interviews. The data analysis technique is descriptive. The results obtained from this study are the students' mathematical reasoning skills after the learning process using video media with the PMRI approach and collaborative learning on the number pattern material of grade VIII.A students of SMP Srijaya Negara Palembang are good, with an average value of 68.89. The indicator that appears the most is "submit a conjecture," while the indicator that appears the least is "draw a conclusion." Using video media through the PMRI approach and collaborative learning during learning can make students have good mathematical reasoning skills.
学生在学习数字模式材料时需要具备良好的数学推理能力。通过PMRI方法和协作学习使用视频媒体可以应用于学习活动中,以获得良好的数学推理技能。本研究旨在探讨八年级学生在采用PMRI方法的视频媒体学习过程和合作学习数字模式材料后的数学推理能力。本研究采用描述性研究。研究对象为八年级学生。A, Srijaya Negara Palembang SMP, 39名学生中有25名学生(12名男性和13名女性)。数据收集技术包括观察、两道试题的笔试和访谈。数据分析技术是描述性的。本研究获得的结果是学生在使用PMRI方法的视频媒体学习过程中以及在八年级数字模式材料上的协作学习后的数学推理能力。SMP Srijaya Negara Palembang的学生表现良好,平均得分为68.89。出现最多的指标是“提出猜想”,而出现最少的指标是“得出结论”。通过PMRI方法使用视频媒体,在学习过程中进行协作学习,可以使学生具备良好的数学推理能力。
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引用次数: 2
The development of mathematics teacher professional competencies through social media 通过社交媒体发展数学教师专业能力
Pub Date : 2022-01-06 DOI: 10.29408/jel.v8i1.4782
A. Jupri, R. Marwati, R. Sispiyati, R. Rosjanuardi
One of the competencies for mathematics teachers that needs to be developed continuously is professional competence. However, even if efforts for developing teachers’ competencies have been made formally by the government, it seems still lacking. This study, therefore, aims to develop mathematics teacher professional competencies through an informal development model using social media. This research used a qualitative method, a case study design, involving 19 mathematics teachers from various regions in Indonesia in the informal development process in the range of 2019-2021. The informal approach was carried out using question-and-answer techniques and guided discussions on mathematical problems. From the teacher development processes, 30 mathematics problems and their solutions were collected. As an illustration of this development process, this article presents five problems and their solutions, including solutions for two mathematics problems on conceptual understanding and three mathematics problems on problem-solving. We conclude that this informal approach is fruitful in helping mathematics teachers solve mathematics problems. This study implies that the teacher development process carried out in this study can be used as a model for informal teacher development by other higher education academics in their respective places.
数学教师需要不断发展的能力之一是专业能力。然而,即使政府正式做出了发展教师能力的努力,似乎仍然缺乏。因此,本研究旨在透过运用社交媒体的非正式发展模式,发展数学教师的专业能力。本研究采用定性方法,采用案例研究设计,涉及2019-2021年期间印度尼西亚不同地区19名数学教师的非正式发展过程。非正式的方法是采用问答技术和指导讨论数学问题。从教师发展过程中收集了30个数学问题及其解决方案。为了说明这一发展过程,本文提出了五个问题及其解决方案,包括两个关于概念理解的数学问题的解决方案和三个关于问题解决的数学问题的解决方案。我们得出结论,这种非正式的方法在帮助数学教师解决数学问题方面是富有成效的。本研究的教师发展过程可为各地其他高等教育学者的非正式教师发展提供借鉴。
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引用次数: 0
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