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Student errors in solving HOTS based-match story problems with Newman's theory 学生用纽曼理论解决HOTS比赛故事问题时的错误
Pub Date : 2022-01-06 DOI: 10.29408/jel.v8i1.4199
Indah Badriani, A. F. Wyrasti, B. Tanujaya
Students' ability for HOTS is critical to acquire. However, the PISA survey in 2018 showed that Indonesian participants were at level 1, and the national exam in 2018 indicated that 40% of students had an issue answering HOTS questions. The problem suggests that students solve questions requiring higher-order thinking skills, causing errors. Therefore, the study aimed to analyze student errors based on Newman's Theory in solving HOTS-based math story problems. The method applied for qualitative research with a descriptive approach. Data collection involved 126 grade IX students using HOTS-based math story tests, interviews, and documentation. Students were grouped into three categories from the HOTS-based math story test results: students with good, medium, and low abilities. This step was to find the average and standard deviation of the scores obtained by respondents when completing the given test. Then three students were selected from each category as subjects. The results showed that as many as 50% of students misunderstood the questions, 20% made transformation errors, and 10% errors in reading, processing skills, and encoding. The high error rate of these students shows the poor ability of students to solve HOTS-based math story problems.
获得学生的HOTS能力至关重要。然而,2018年的国际学生评估项目调查显示,印尼参与者的水平为1级,2018年的国家考试表明,40%的学生在回答HOTS问题方面存在问题。这个问题表明,学生解决问题需要更高层次的思维技能,导致错误。因此,本研究旨在分析基于Newman理论的学生在解决基于hots的数学故事问题时的错误。采用描述性方法进行定性研究。数据收集涉及126名九年级学生,使用基于hots的数学故事测试、访谈和文档。根据基于hots的数学故事测试结果,学生们被分为三类:良好、中等和低能力的学生。这一步是找出被调查者在完成给定测试时获得的分数的平均值和标准差。然后从每个类别中选出三名学生作为研究对象。结果显示,多达50%的学生误解了问题,20%的学生出现了转换错误,10%的学生在阅读、处理技能和编码方面出现了错误。这些学生的高错误率表明学生解决基于hots的数学故事问题的能力较差。
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引用次数: 1
The barriers in the implementation of mathematics learning for slow learner during the COVID-19 新冠肺炎疫情期间实施慢学习者数学学习的障碍
Pub Date : 2022-01-06 DOI: 10.29408/jel.v8i1.4525
Hidayatul Wafiroh, Harun Harun
Slow learners also carry out the implementation of online learning at inclusive elementary schools. Online learning conditions are different from face-to-face learning, and it becomes a challenge for teachers to deliver mathematics learning for slow learner students. Learning mathematics is a learning that is considered difficult by slow learner students. It is because slow learner students have limited cognitive abilities and understanding of symbols, abstracts, and concepts. This study aimed to determine the obstacles in the implementation of mathematics learning, which includes the planning, implementation, and assessment stages for slow learner students at inclusive elementary schools. This research is qualitative research with a descriptive approach, and the subjects were ten inclusive elementary school class teachers in Sleman. The data were collected by interview and analyzed with the help of Atlas.ti software. Based on the analysis results, teachers experienced barriers in implementing online learning. The teacher experienced barriers in planning learning media and limited learning resources specifically for slow learner students at the planning stage. The most significant barriers come from the students' condition at the implementation stage, and another barrier comes from parents and teachers. Furthermore, the barriers in the assessment stage included the limitations of distance and time, the validity of the answers, student independence, and decreased enthusiasm of students for working.
慢学习者也在全纳小学实施在线学习。在线学习的条件不同于面对面的学习,如何为学习速度慢的学生提供数学学习对教师来说是一个挑战。学习数学对学习速度慢的学生来说是一种困难的学习。这是因为学习速度慢的学生对符号、抽象和概念的认知能力和理解有限。本研究旨在探讨全纳小学慢学习者实施数学学习的障碍,包括计划、实施和评估阶段。本研究为定性研究,采用描述性研究方法,研究对象为斯莱曼市10名全纳小学班主任。通过访谈收集数据,并借助Atlas进行分析。ti的软件。根据分析结果,教师在实施在线学习时遇到了障碍。教师在规划学习媒介时遇到障碍,在规划阶段针对慢学习者的学习资源有限。最大的障碍来自学生在实施阶段的状况,另一个障碍来自家长和老师。此外,在评估阶段的障碍包括距离和时间的限制,答案的有效性,学生的独立性,学生的工作积极性下降。
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引用次数: 1
Students’ perception of communication and collaboration effectiveness in online learning mathematics during the COVID-19 新冠肺炎疫情期间学生对在线数学学习沟通协作效果的感知
Pub Date : 2022-01-06 DOI: 10.29408/jel.v8i1.4626
Sri Supiyati, Muhammad Halqi, A. Rasidi
This study aims to determine student perceptions of the effectiveness of communication and collaboration in online learning mathematics during the COVID-19 pandemic. This study was an ex-post-facto with an exploratory, descriptive approach. The sample of this study was 26 students of the Mathematics Education Study Program at the Universitas Hamzanwadi. The respondents of this study were 26 students of Mathematics Education at Hamzanwadi University, five males and 21 females, which were obtained using the convenience sampling technique. This research was conducted in the even semester of the 2020/2021 academic year. The instrument used is a closed questionnaire with answers that are degraded according to the Likert scale and validated by experts. The research data were analyzed descriptively and inferential statistics. The results showed that (1) the perception of mathematics education students was > 58% of students giving a negative response to every question about the effectiveness of communication and collaboration in online learning; (2) ineffective communication and collaboration in online learning with an average student perception score of 2.16; (3) there is a positive and significant relationship between communication and collaboration in online learning during the COVID-19 pandemic with a significance value of 0.000 which is smaller than the alpha test value of 0.05 (<0.05); (4) the relationship of communication and correlation in online learning is strong or high with a correlation coefficient value of 0.677.
本研究旨在确定学生对COVID-19大流行期间在线数学学习中沟通和协作有效性的看法。本研究是一项探索性、描述性的事后研究。本研究的样本是Hamzanwadi大学数学教育研究项目的26名学生。本研究的调查对象为Hamzanwadi大学数学教育专业的26名学生,其中男5名,女21名,采用方便抽样法。本研究在2020/2021学年的偶数学期进行。所使用的工具是一个封闭的问卷,答案根据李克特量表被降级并由专家验证。对研究数据进行描述性统计和推理统计分析。结果表明:(1)对在线学习中沟通与协作有效性的所有问题,持否定态度的学生占58%以上;(2)网络学习中沟通协作效果不佳,学生平均感知得分为2.16分;(3)新冠肺炎大流行期间在线学习中的沟通与协作存在显著正相关关系,显著性值为0.000,小于alpha检验值0.05 (<0.05);(4)在线学习中的交流与相关关系为强或高,相关系数值为0.677。
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引用次数: 1
The characters of the traditional residence of Sasak tribe based on sikut awak: An ethnomathematics study 基于sikut awak的Sasak族传统民居特征:民族数学研究
Pub Date : 2022-01-06 DOI: 10.29408/jel.v8i1.4143
Lalu Muhammad Fauzi, M. Gazali
In cultural anthropology, people have recognized various mathematical activities, such as counting, calculating, measuring, and weighting, with different terms derived from each culture. Community activities in responding to the existence of their environment will give rise to mathematics as part of problem-solving, including finding characters or features of residence to build. Therefore, this study explores mathematical forms in the measurement of residential characters based on sikut awak that can be used in mathematics learning. This research is an ethnographic study. Data were collected from various literature studies, field observations, and interviews. Informants included in the study were two cultural experts, one Adat leader, and one traditional builder who knows sikut awak’s measurement format in determining the traditional residential characters of Sasak people. This study shows that the determination of residential characters uses mathematical models in its calculation.
在文化人类学中,人们已经认识到各种各样的数学活动,如计数、计算、测量和加权,它们有不同的术语,这些术语来自于每种文化。社区活动对其环境的存在做出反应,将数学作为解决问题的一部分,包括寻找住宅的特征或特征。因此,本研究探索了基于sikut awak的居住特征测量的数学形式,可以用于数学学习。这项研究是一项民族志研究。数据收集自各种文献研究、实地观察和访谈。研究对象包括两名文化专家,一名Adat领导人和一名传统建造者,他们知道在确定Sasak人的传统居住特征时sikut awak的测量格式。研究表明,居住性状的确定采用数学模型进行计算。
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引用次数: 5
The commognitive perspective of teaching skills of prospective mathematics teachers in microteaching subjects 微格教学学科中准数学教师教学技能的认知视角
Pub Date : 2022-01-06 DOI: 10.29408/jel.v8i1.4129
M. Zayyadi, T. Nusantara, H. Lanya
This study aims to describe the teaching skills of prospective mathematics education teachers in micro-teaching subjects from a commognitive perspective. This type of research is qualitative research. The research subjects consisted of 15 students of the 2015 Mathematics Education Study Program class, which were taking micro-teaching courses. The instrument used in this study was a rubric sheet—an assessment of prospective teachers' teaching skills. Data analysis techniques used are data reduction, data presentation, and conclusion collection. The results showed that: Prospective mathematics education teachers in preliminary activities often use the word usage component, visual mediator, routine and do not use the narrative component. In the core activities of learning mathematics, teacher candidates use four components commognitive, which are the use of words, visual mediators, routine, and narrative. In the selection of mathematics education, teacher candidates only use the word use component. Commognitive provides an overview of mathematical cognitive-communication and content in the learning carried out.
本研究旨在从交际学的角度来描述准数学教育教师在微观教学科目中的教学技巧。这种类型的研究是定性研究。研究对象为2015年数学教育学习计划班15名正在学习微教学课程的学生。本研究使用的工具是一份评估未来教师教学技能的评分表。使用的数据分析技术包括数据简化、数据表示和结论收集。结果表明:准数学教育教师在预备活动中经常使用词汇用法成分、视觉中介成分、常规成分,而不使用叙事成分。在学习数学的核心活动中,教师候选人使用四个组成部分进行交际,即文字的使用、视觉媒介的使用、常规的使用和叙述的使用。在数学教育的选拔中,教师考生只使用单词使用成分。《交际学》概述了数学认知交际及其在学习过程中的内容。
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引用次数: 2
Elementary school students’ mathematical connection in problem-posing activities 小学生在问题提出活动中的数学联系
Pub Date : 2022-01-06 DOI: 10.29408/jel.v8i1.4364
M. A. Maulyda, A. N. K. Rosyidah, V. Hidayati
The ability of mathematical connections possessed by students can be seen from the ability of students to compile math problems. This study aims to determine the type of mathematical connection made by elementary school students in problem-posing activities. The research was conducted using a qualitative descriptive method. The participants were 34 fifth grade students (male =16 female =18) of one of the public elementary schools in Mataram, West Nusa Tenggara. Data were collected from the results of student work and interviews. The analysis was carried out qualitatively according to the indicators of the complexity of the problem through problem posing learning. The results showed that there were four types of mathematical problems and their relatedness that occurred in student problem-posing activities, including (1) unsolvable math problems, (2) incorrectly solved math problems, (3) neglected math problems contextual information, and (4) mathematical problems that have complexity and relevance. Based on these results, it can be recommended for further research to determine strategies to improve students' mathematical connections in problem-posing activities.
从学生编写数学问题的能力可以看出学生所具有的数学联系能力。本研究旨在确定小学生在问题提出活动中所建立的数学联系类型。本研究采用定性描述方法进行。参与者是西努沙登加拉马塔兰一所公立小学的34名五年级学生(男=16名女=18名)。数据收集自学生作业和访谈的结果。通过问题提出学习,根据问题复杂程度的指标进行定性分析。结果表明,在学生问题提出活动中出现的数学问题及其相关性主要有四种类型,包括(1)无法解决的数学问题;(2)解决错误的数学问题;(3)忽略数学问题的背景信息;(4)具有复杂性和相关性的数学问题。基于这些结果,可以推荐进一步的研究,以确定提高学生在问题提出活动中的数学联系的策略。
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引用次数: 1
Senior high school students’ understanding of mathematical inequality 高中生对数学不等式的理解
Pub Date : 2022-01-06 DOI: 10.29408/jel.v8i1.4537
E. L. Palupi, Sylvana Novilia Sumarto, Mayang Purbaningrum
Mathematics inequality is an essential concept that students should fully understand since it is required in mathematical modeling and linear programming. However, students tend to perceive the solution of the inequalities problem without considering what the solution of inequality means. This study aims to describe students’ mistakes variations in solving mathematical inequality. It is necessary since solving inequality is a necessity for students to solve everyday problems modeled in mathematics. Thirty-eight female and male students of 12th-grade who have studied inequalities are involved in this study. They are given three inequality problems which are designed to find out students’ mistakes related to the change of inequality sign, determine the solution, and involve absolute value. All student work documents were analyzed for errors and misconceptions that emerged and then categorized based on the type of error, namely errors in applying inequality rules, errors in algebraic operations, or errors in determining the solution set, then described. The result shows that there were some errors and misconceptions that students made caused by still bringing the concept of equality when solving the inequalities problem. It made them did not aware of the inequality sign. Students are still less thorough in operating algebra and do not understand the number line concept in solving inequalities. The other factor was giving “fast strategy” to the students without considering the students’ understanding.
数学不等式是学生在数学建模和线性规划中需要充分理解的一个基本概念。然而,学生往往没有考虑到不平等问题的解决意味着什么,就认为不平等问题的解决。本研究旨在描述学生在求解数学不等式时的错误变化。这是必要的,因为解决不等式是学生解决数学模型中日常问题的必要条件。38名研究过不平等问题的12年级男女学生参与了本研究。给他们三个不等式问题,旨在找出学生与不等式符号变化有关的错误,确定解,并涉及绝对值。对所有学生的作业文件进行分析,找出出现的错误和误解,然后根据错误的类型进行分类,即应用不等式规则的错误、代数运算的错误或确定解集的错误,然后进行描述。结果表明,学生在解决不平等问题时,仍然引入了平等的概念,造成了一些错误和误解。这使他们没有意识到不平等的标志。学生们在代数运算方面还不够彻底,在求解不等式时不理解数轴的概念。另一个因素是在不考虑学生理解的情况下给学生“快速策略”。
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引用次数: 3
How does Rasch modeling reveal difficulty and suitability level the fraction test question? Rasch模型如何揭示分数测试问题的难度和适宜性水平?
Pub Date : 2022-01-06 DOI: 10.29408/jel.v8i1.4170
K. Karli̇mah
This article explains how to analyze test items in arithmetic operation with fractions to obtain the items' level of difficulty and fitness. Data were collected by using multiple-choice questions given to 50 fourth-grade students of an elementary school in Tasikmalaya city. The answers were then analyzed using the Rasch model and Winsteps 3.75 application, a combination of standard deviation (SD) and logit mean values (Mean). The score data of each person and question were used to estimate the pure score in the logit scale, indicating the level of difficulty of the test items. The categories were difficult (logit value +1 SD); very difficult (0.0 logit +1 SD); easy (0.0 logit -1 SD); very easy (logit value –SD). Three criteria were used to determine the level of difficulty and fitness of the questions: the Outfit Z-Standard/ZSTD value; Outfit Mean Square/MNSQ; and Point Measure Correlation. It resulted in a collection of test items suitable for use with several levels of difficulties, namely, difficult, very difficult, easy, and very easy, from the previous items, which had difficult, medium, and easy categories. Rasch model can help categorize questions and students' ability levels.
本文阐述了如何对分数算术运算试题进行分析,从而得出试题的难度和适合度。本研究采用多项选择题的方式,对Tasikmalaya市一所小学的50名四年级学生进行问卷调查。然后使用Rasch模型和Winsteps 3.75应用程序,结合标准差(SD)和logit平均值(mean)对答案进行分析。使用每个人和每个问题的得分数据来估计logit量表的纯得分,表示测试项目的难度水平。分类困难(logit值+1 SD);非常困难(0.0 logit +1 SD);easy (0.0 logit -1 SD);非常简单(logit值-SD)。采用三个标准来确定问题的难度和适合度:Outfit Z-Standard/ZSTD值;服装均方/MNSQ;和点测量相关。它产生了一系列适合使用的难度等级的测试项目,即困难、非常困难、容易和非常容易,而之前的项目有困难、中等和容易的类别。Rasch模型可以帮助分类问题和学生的能力水平。
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引用次数: 0
Undergraduate students’ errors on interval estimation based on variance neglect 基于方差忽略的大学生区间估计误差
Pub Date : 2022-01-06 DOI: 10.29408/jel.v8i1.4529
B. Murtiyasa, Afifah Ma'rufi, Mohd Asrul Affendi bin Abdullah
Interval estimation is an important topic, especially in drawing conclusions on an event. Mathematics education students must possess the skill to formulate and use interval estimation. The errors of mathematics education students in formulating wrong interval estimates indicate a low understanding of interval estimation. This study explores the errors of mathematics education students in interpreting the variance in the questions regarding selecting the proper test statistic to formulate the interval estimation of mean accurately. Respondents in this study involved 36 students of mathematics education (N = 9 males, N = 27 females). This research is qualitative research with a qualitative descriptive approach. Data collection was carried out using the respondents’ ability test and interviews. The respondents’ ability test instrument was tested on 36 students and declared valid where r-count r-table with r-table of 0.3291, and declared reliable with a Cronbach Alpha value of 0.876 0.6. Through an exploratory approach, data were analyzed by categorizing, reducing, and interpreting to conclude students' abilities and thinking methods in formulating interval estimation of the mean based on the variance in questions. The results showed that mathematics education students neglected the variance, so they could not determine the test statistics correctly, resulting in error interval estimates. This study provides insight into the thinking methods of mathematics education students on variance in interval estimation problems in the hope of anticipating errors in formulating interval estimation problems.
区间估计是一个重要的研究课题,特别是在对事件作出结论时。数学教育的学生必须具备表述和使用区间估计的技能。数学教育专业学生在制定错误区间估计方面的错误表明他们对区间估计的理解程度较低。本研究探讨数学教育学生在选择适当的检验统计量以准确地制定均值的区间估计的问题中对方差的解释错误。本研究的调查对象为36名数学教育专业的学生(男9名,女27名)。本研究采用定性描述方法进行定性研究。数据收集采用被调查者能力测试和访谈法。被调查者的能力测试工具对36名学生进行了测试,r-count r表为0.3291,r表为有效,Cronbach Alpha值为0.876 0.6。采用探索性方法,对数据进行分类、约简、解释等分析,得出学生根据问题方差制定均值区间估计的能力和思维方法。结果表明,数学教育学生忽视了方差,不能正确确定检验统计量,导致误差区间估计。本研究旨在深入了解数学教育学生对区间估计问题中方差的思考方法,以期在制定区间估计问题时预测误差。
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引用次数: 1
The Development and Validation of Mathematical Reflective Thinking Test Instruments for Prospective Mathematics Teachers Using the Rasch Model 基于Rasch模型的准数学教师数学反思性思维测试工具的开发与验证
Pub Date : 2022-01-06 DOI: 10.29408/jel.v8i1.3981
M. Muntazhimah, R. Wahyuni
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引用次数: 0
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Jurnal Elemen
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