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Missouri Mathematics Project learning model with strategy Everyone is a Teacher Here to towards mathematical problem-solving and self-efficacy ability “人人都是老师”策略的密苏里数学项目学习模式,旨在培养学生解决数学问题的能力和自我效能感
Pub Date : 2023-06-25 DOI: 10.35316/alifmatika.2023.v5i1.141-155
Indah Resti Ayuni Suri, A. Pahrudin, Ega Apriyana, S. Suherman
Every student must acquire mathematical problem-solving skills and self-efficacy to assist them in the learning process and solve different mathematical problems. This study seeks to explore the impact of implementing “the Missouri Mathematics Project (MMP) learning model with the Everyone is a Teacher Here (ETH) strategy on the mathematical problem-solving skills and self-efficacy of learners”. This study employs a quasi-experimental design with a 2×2 factorial research scheme. In this research, tests of mathematical problem-solving skills and self-efficacy questionnaires were utilized to collect data. The method of data analysis employed the Normality test, the Homogeneity test, and the Multivariate Analysis of Variance (MANOVA) hypothesis tests. Based on the outcomes and MANOVA test calculations, it was determined that implementing the MMP learning model with the Everyone is a Teacher Here strategy affected students' mathematical problem-solving skills. The deployment of the MMP learning model with the Everyone is a Teacher Here strategy also affects students' self-efficacy. Implementing the MMP learning model with the Everyone is a Teacher Here strategy impacts learners' mathematical problem-solving skills and self-efficacy.
每个学生都必须具备数学解决问题的能力和自我效能感,以帮助他们在学习过程中解决不同的数学问题。本研究旨在探讨实施“密苏里数学计划”(MMP)学习模式和“人人都是老师”(ETH)策略对学习者数学问题解决能力和自我效能感的影响。本研究采用准实验设计,采用2×2因子研究方案。本研究采用数学问题解决能力测试和自我效能感问卷来收集数据。数据分析方法采用正态性检验、齐性检验和多元方差分析(MANOVA)假设检验。基于结果和方差分析检验计算,我们确定在“每个人都是老师”策略下实施MMP学习模式会影响学生的数学问题解决能力。MMP学习模式与“Everyone is a Teacher Here”策略的运用对学生的自我效能感也有影响。在“每个人都是老师”策略下实施MMP学习模式会影响学习者的数学解决能力和自我效能感。
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引用次数: 0
Development of articulate storyline-based interactive learning media on arithmetic sequences and series 基于故事情节的等差数列交互式学习媒体的开发
Pub Date : 2023-06-25 DOI: 10.35316/alifmatika.2023.v5i1.110-128
Ayustika Raudatul Jannah, S. Setiawani, R. M. Prihandini
Research in learning media development is driven by the common problem of student disengagement, which hinders their understanding of the material. The specific problem addressed in this research is students' lack of attention and comprehension while studying arithmetic sequences and series. The purpose of this study is to document the process and outcomes of developing interactive learning media using Articulate Storyline specifically for the material on sequences and arithmetic series. The research follows the Research and Development (R&D) approach, employing the Thiagarajan model (Model 4-D) consisting of four stages: 1) the definition stage (define), 2) the design stage (design), 3) the development stage (development), and 4) the dissemination stage (disseminate). The research was conducted with a sample of 31 students from class X B at SMA Tunas Luhur. The results of the media validity test showed a score of 4.82, indicating high validity. Furthermore, the practicality and effectiveness tests conducted with both small and large groups achieved a perfect score of 100% in all aspects. This research indicates that the interactive learning media for arithmetic sequences and series based on Articulate Storyline meet the criteria of validity, practicality, and effectiveness.
学习媒体发展的研究是由学生脱离参与的共同问题推动的,这阻碍了他们对材料的理解。本研究解决的具体问题是学生在学习等差数列和数列时缺乏注意力和理解力。本研究的目的是记录使用清晰的故事线开发交互式学习媒体的过程和结果,特别是用于数列和等差数列的材料。本研究采用研究与开发(R&D)方法,采用Thiagarajan模型(model 4- d),分为四个阶段:1)定义阶段(define), 2)设计阶段(design), 3)开发阶段(Development), 4)传播阶段(dissemination)。本研究以SMA Tunas Luhur xb班的31名学生为样本进行。媒介效度测试的结果为4.82分,为高效度。此外,进行了小组和大组的实用性和有效性测试,各方面都取得了100%的满分。本研究表明,基于清晰故事线的等差数列交互式学习媒体符合有效性、实用性和有效性的标准。
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引用次数: 0
Development of an interactive PowerPoint to instill a deeper understanding of polyhedron concepts in mathematics class 开发一个互动的ppt,在数学课上灌输对多面体概念更深层次的理解
Pub Date : 2023-06-25 DOI: 10.35316/alifmatika.2023.v5i1.95-109
Nurma Izzati, Nur Wahyuni, Bony Irawan
Mathematics is generally considered a complex subject by the majority of students in Indonesia. Students tend to rely on simple learning strategies such as memorizing formulas. This perpetual trend distance our students from deeper mathematical understandings such as concept application. In this study, we develop an interactive learning media based on Microsoft PowerPoint to instill a deep conceptual understanding of polyhedrons in class VIII students. This Research and Development study follows the 4D development model with a limited dissemination phase. The research data was collected through validation techniques by expert validators to measure the feasibility level of learning media. The instruments used in the research were interview sheets, observation sheets, learning style tests, media validation sheets, language validation sheets, and material validation sheets. The data analysis technique uses the Method of Summated Ratings, then the eligibility percentage for the developed media is calculated. The results showed that the eligibility percentage for media experts was 92%, material experts 96%, and linguists 90%. The average percentage of the three assessments corresponds to the “very valid” category. In conclusion, the media developed is very feasible for its intended purpose.
印度尼西亚的大多数学生普遍认为数学是一门复杂的学科。学生倾向于依靠简单的学习策略,如记忆公式。这种永恒的趋势使我们的学生远离更深层次的数学理解,如概念应用。在本研究中,我们开发了一个基于Microsoft PowerPoint的交互式学习媒体,以灌输八年级学生对多面体的深刻概念理解。本研究与开发研究遵循有限传播阶段的4D开发模式。研究数据通过专家验证者的验证技术收集,以衡量学习媒体的可行性水平。研究中使用的工具有访谈表、观察表、学习风格测试、媒体验证表、语言验证表和材料验证表。数据分析技术采用综合评分法,计算出已开发介质的合格率。结果表明,媒体专家的合格率为92%,材料专家为96%,语言学家为90%。三次评估的平均百分比对应于“非常有效”的类别。总之,媒体开发是非常可行的,为其预期的目的。
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引用次数: 1
The implementation of online learning during the COVID-19 pandemic regarding students' mathematics learning outcomes 新冠肺炎疫情期间实施在线学习对学生数学学习成果的影响
Pub Date : 2023-06-25 DOI: 10.35316/alifmatika.2023.v5i1.129-140
R. Rahmatia, Azis Azis
This study aimed to determine how well online learning was used during the Covid-19 pandemic regarding the academic outcomes for class VII students at SMP Negeri 38 Buton. This study was an experiment in research methodology. The population of this study was made up of all of the class VII students from SMP Negeri 38 Buton, which had two classes. Twenty students of class VII1 served as the experimental class, and twenty students of class VII2 served as the control class, and samples were collected using random sampling. In this study, tests were used as data-gathering methods. Descriptive and inferential statistics were employed in the data analysis for this investigation. According to the research findings, class VII students at SMP Negeri 38 Buton did not benefit from online learning during the Covid-19 pandemic regarding their learning outcomes.
本研究旨在确定在线学习在Covid-19大流行期间对SMP Negeri 38 Buton七年级学生学业成绩的影响程度。这项研究是研究方法上的一次实验。本研究的人群由SMP Negeri 38 Buton的所有七年级学生组成,该班级有两个班级。VII1班20名学生作为实验班,VII2班20名学生作为对照班,采用随机抽样的方式采集样本。在本研究中,使用测试作为数据收集方法。本调查的资料分析采用描述性统计和推论统计。根据研究结果,在2019冠状病毒病大流行期间,SMP Negeri 38 Buton七年级学生的学习成果并没有从在线学习中受益。
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引用次数: 0
A literature review on dyscalculia: What dyscalculia is, its characteristics, and difficulties students face in mathematics class 关于计算障碍的文献综述:什么是计算障碍,它的特点,以及学生在数学课上面临的困难
Pub Date : 2023-06-25 DOI: 10.35316/alifmatika.2023.v5i1.82-94
Resminati Dinda Salisa, Meiliasari Meiliasari
Dyscalculia is a specific learning condition that affects the comprehension and manipulation of numerical concepts, which can impact students' academic performance and well-being in mathematics education. The research methodology used was a systematic literature review that aimed to identify and synthesize the existing evidence regarding the differences in understanding of dyscalculia, its characteristics and the difficulties that students with dyscalculia may face in class. The search string used in electronic databases, such as Crossref and Google Scholar, to generate articles for the review were “dyscalculia” and “dyscalculia characteristics.” After the study selection process and appraising its quality, 23 articles met the selection criteria and were reviewed to synthesize answers to the research questions. The findings suggest despite many differences in understanding what dyscalculia was and it was clear that dyscalculia is a specific learning condition that affected students’ comprehension and manipulation of numerical concepts. Students with dyscalculia exhibit various characteristics, the most noticeable of which was low mathematics achievement scores. The difficulties faced by students with dyscalculia in the classroom were numerous. However, the primary obstacles they faced involved comprehending and applying mathematical concepts, as these difficulties could lead to others, such as executing mathematical problem-solving instructions. Educators might comprehend the diverse characteristics of dyscalculia to provide appropriate support and accommodations for students with difficulties.
计算障碍是一种影响数字概念理解和操作的特殊学习状况,它会影响学生在数学教育中的学习成绩和幸福感。本研究采用了系统的文献综述方法,旨在识别和综合现有的证据,这些证据涉及对计算障碍的理解差异、计算障碍的特征以及计算障碍学生在课堂上可能面临的困难。在电子数据库(如Crossref和Google Scholar)中用于生成评论文章的搜索字符串是“计算障碍”和“计算障碍特征”。经过研究选择过程和质量评价,23篇文章符合选择标准,并进行综述,以综合研究问题的答案。研究结果表明,尽管对计算障碍的理解存在许多差异,但很明显,计算障碍是一种影响学生对数字概念理解和操作的特定学习条件。计算障碍学生表现出多种特征,其中最明显的是数学成绩较低。患有计算障碍的学生在课堂上面临的困难很多。然而,他们面临的主要障碍涉及理解和应用数学概念,因为这些困难可能导致其他困难,例如执行数学问题解决指令。教育工作者可以了解计算障碍的不同特征,为有困难的学生提供适当的支持和帮助。
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引用次数: 0
Local edge (a, d) –antimagic coloring on sunflower, umbrella graph and its application 向日葵伞图的局部边(a, d) -反幻着色及其应用
Pub Date : 2023-06-15 DOI: 10.35316/alifmatika.2023.v5i1.70-81
R. Adawiyah, I. I. Makhfudloh, R. M. Prihandini
Suppose a graph G = (V, E) is a simple, connected and finite graph with vertex set V(G) and an edge set E(G). The local edge antimagic coloring is a combination of local antimagic labelling and edge coloring. A mapping f∶ V (G)→ {1, 2, ..., |V (G)|} is called local edge antimagic coloring if every two incident edges e_1and e_2, then the edge weights of e_1and e_2 maynot be the same, w(e_1) ≠ w(e_2), with e = uv ∈ G, w(e) = f(u)+ f(v) with the rule that the edges e are colored according to their weights, w_e. Local edge antimagic coloring has developed into local (a,d)-antimagic coloring. Local antimagic coloring is called local (a,d)-antimagic coloring if the set of edge weights forms an arithmetic sequence with a as an initial value and d as a difference value. The graphs used in this study are sunflower graphs and umbrella graphs. This research will also discuss one of the applications of local edge (a,d)-antimagic coloring, namely the design of the Sidoarjo line batik motif. The result show that χ_le(3,1) (Sf_n) = 3n and χ_le(3n/2,1) (U_(m,n) ) = m+1 . The local (a,d)-antimagic coloring is formed into a batik motif design with characteristics from the Sidoarjo region.
假设图G = (V, E)是具有顶点集V(G)和边集E(G)的简单连通有限图。局部边缘反魔术着色是局部反魔术标记和边缘着色的结合。映射f∶V (G)→{1,2,…, |V (G)|}称为局部边的反魔法着色,如果每两条入射边e_1和e_2,则e_1和e_2的边权可以不相同,w(e_1)≠w(e_2),其中e = uv∈G, w(e) = f(u)+ f(V),规则是边e根据它们的权值w_e着色。局部边反幻着色已发展为局部(a,d)-反幻着色。如果边权集合形成以a为初值、d为差值的等差数列,则称为局部(a,d)-反幻着色。本研究使用的图形是向日葵图和伞形图。本研究也将讨论局部边缘(a,d)-抗魔着色的应用之一,即Sidoarjo线蜡染图案的设计。结果表明,χ_le (3,1) (Sf_n) = 3 n和χ_le (3 n / 2, 1) (U_ (m, n)) = m + 1。局部(a,d)-抗魔着色形成具有Sidoarjo地区特色的蜡染图案。
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引用次数: 0
An elementary treatise on elliptic functions as trigonometry 作为三角函数的椭圆函数的初步论述
Pub Date : 2023-06-15 DOI: 10.35316/alifmatika.2023.v5i1.1-20
L. Al-ossmi
This article concerns the examination of trigonometric identities from an elliptic perspective. The treatment of elliptic functions presented herein adheres to a structure analogous to the traditional exposition of trigonometric functions, with the exception that an ellipse replaces the unit circle. The degree of similarity between the elliptic functions and their trigonometric counterparts is moderated by the periodicity of the so-called El- functions. These identities not only establish the values of the functions, but also establish a correlation between their ratios and the major and minor axes of the underlying ellipse. The resemblance between the functions is somewhat modified by the periodic nature of the El-identities, whereby each ratio is associated with the major and minor axis of the ellipse. This article adopts the notation (E) to denote the El- functions and distinguish them from the opposite circular functions.
本文从椭圆的角度考察三角恒等式。本文对椭圆函数的处理遵循类似于传统三角函数的结构,不同之处在于椭圆取代了单位圆。椭圆函数和它们的三角函数之间的相似程度是由所谓的El-函数的周期性所缓和的。这些恒等式不仅建立了函数的值,而且建立了它们的比值与基础椭圆的长轴和短轴之间的相关性。函数之间的相似性被el恒等式的周期性性质所修正,即每个比值都与椭圆的长轴和短轴相关联。本文采用符号(E)来表示El-函数,并将其与相反的圆函数区分开来。
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引用次数: 0
Analysis of student problem-solving errors based on Newman's theory in terms of learning interest and gender 基于纽曼学习兴趣和性别理论的学生问题解决错误分析
Pub Date : 2023-06-15 DOI: 10.35316/alifmatika.2023.v5i1.40-56
A. M. Annizar, Dewi Fatma Kumala
Errors often occurred when students solve mathematical problems solving, exceedingly when students are faced with contextual story problems. Newman's procedural error analysis classified errors in solved story problems into five categories: reading errors, encoding errors, transformation errors, comprehension errors, and processing skill errors. There were several factors on errors worked by students when solving problems, such as student interest in learning and gender differences. This study aims to describe the problem-solving errors of students, both men, and women, who have high, medium, and low interest in learning to solve story problems on SPLTV material. According to the Newman’s procedure. The research type is a qualitative approach with descriptive. And the research subjects were obtained by using a purposive sampling technique. The results of this study include 1) Students of high interest in learning and are making Encoding Errors, and Processing Skill Errors, while students with low interest in learning make Processing Skill Errors, Transformation Errors, and Encoding Errors. 2) Students with a great interest in learning and making encoding errors and processing skills errors. Students with low interest made Comprehension Errors, Encoding Errors, Processing Skill errors, and Transformation Errors.
学生在解决数学问题时经常出现错误,尤其是在面对情境故事问题时。Newman的程序性错误分析将解决的故事问题中的错误分为五类:阅读错误、编码错误、转换错误、理解错误和处理技巧错误。学生在解决问题时产生的错误有几个因素,如学生的学习兴趣和性别差异。本研究的目的是描述对学习解决SPLTV上的故事问题有高、中、低兴趣的男女学生的问题解决错误。根据纽曼氏程序。研究类型为定性与描述性相结合的方法。研究对象采用有目的抽样法。本研究的结果包括:1)学习兴趣高的学生犯编码错误、加工技能错误,学习兴趣低的学生犯加工技能错误、转换错误和编码错误。2)学习兴趣高的学生犯编码错误和加工技能错误。低兴趣学生出现理解错误、编码错误、加工技能错误和转换错误。
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引用次数: 0
Bruner’s theory on the development of e-book traditional snacks ethnomathematics for mathematical understanding ability 布鲁纳的电子书民族数学理论发展对传统小吃的数学理解能力
Pub Date : 2023-06-15 DOI: 10.35316/alifmatika.2023.v5i1.21-39
Rani Darmayanti, D. P. Utomo, C. Choirudin, Usmiyatun Usmiyatun, P. Nguyen
This study aims to make traditional books that were packaged electronically with an ethnomathematics approach to traditional snacks, which was adapted from Bruner's theory by presenting three stages of Bruner's theory as enactive, iconic, and symbolic by incorporating elements of traditional snacks as an ethnomathematics approach as an effort to build students' mathematical understanding abilities. The method used the 4-D concept by using questionnaires and test instruments so that this media was valid and suitable for use as a medium in learning mathematics. The results showed a score of 3.86 for material experts and 3.74 for media experts, with 82% eligibility criteria to improve students' mathematical understanding abilities. The response to the ethnomathematics-based e-book was 91% with the "Very Eligible" criteria. It can be concluded that this e-book was developed to meet valid criteria and is practical and effective in use.
本研究旨在将电子包装的传统书籍与民族数学方法结合到传统小吃中,该方法借鉴Bruner的理论,将Bruner的理论分为活动的、标志性的和象征性的三个阶段,并将传统小吃的元素作为民族数学方法,以培养学生的数学理解能力。该方法运用了四维概念,通过问卷调查和测试工具,使该媒体是有效的,适合作为学习数学的媒介。结果显示,材料专家的得分为3.86分,媒体专家的得分为3.74分,82%的合格标准是提高学生的数学理解能力。对这本基于民族数学的电子书的回应是91%,标准是“非常合格”。可以得出结论,该电子书开发符合有效的标准,是实用和有效的使用。
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引用次数: 2
Ethnomathematics: The exploration of fractal geometry in Tian Ti Pagoda using the Lindenmayer system 民族数学:用林登迈尔系统探索天体塔的分形几何
Pub Date : 2023-06-15 DOI: 10.35316/alifmatika.2023.v5i1.57-69
Muhammad Zia Alghar, Natasya Ziana Walidah, Marhayati Marhayati
This study explores the concept of fractal geometry found in the Tian Ti Pagoda. Fractal geometry is a branch of mathematics describing the properties and shapes of various fractals. A qualitative method with an ethnographic approach is used in this study. Observation, field notes, interviews, documentation, and literature study obtained research data. The observation results were processed computationally using the Lindenmayer system method via the L-Studio application to view fractal shapes. The results show that the concept of fractal geometry is contained in the ornaments on the Tian Ti Pagoda. The length and angles of each part of the ornament influence the fractal shape of the Tian Ti Pagoda ornament. In addition, the length and angle modifications resulted in several variations of the Tian Ti Pagoda fractal. The findings from this study can be used as an alternative medium for learning mathematics lectures, especially in applied mathematics, dynamical systems, and computational geometry.
本研究探讨了天体塔中发现的分形几何概念。分形几何是描述各种分形的性质和形状的数学分支。本研究采用民族志定性方法。观察、实地记录、访谈、文献和文献研究获得研究数据。利用L-Studio应用程序对观测结果进行了Lindenmayer系统方法的计算处理,以查看分形形状。结果表明,天坛塔的装饰中蕴含着分形几何的概念。各部分的长度和角度影响天体塔装饰的分形形状。此外,长度和角度的变化导致了天梯塔分形的几种变化。本研究的结果可以作为学习数学讲座的替代媒介,特别是在应用数学、动力系统和计算几何方面。
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引用次数: 1
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Alifmatika: Jurnal Pendidikan dan Pembelajaran Matematika
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