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Analysis of Longitudinal Regression Model Using the Generalized Estimating Equation (GEE) for the Child Welfare Composite Index (CWCI) in West Java 西爪哇儿童福利综合指数(CWCI)的广义估计方程纵向回归模型分析
A. S. Awalluddin, I. Wahyuni, Hilda Nurmuslimah
The purpose of this study was to determine the Generalized Estimating Equation (GEE) analysis as one of the longitudinal data regression methods for composite index data on children's welfare (CWCI) in West Java Province. GEE analysis uses four different correlation structures to determine the best model, namely: independent, exchangeable, AR (1), and unstructured. The determination of the best model of the four structures uses the Quasilikelihood Information Criterion (QIC). The West Java CWCI longitudinal data used consists of 5 independent variables, each of which is a dimension of survival, protection, growth and development, participation, and identity in 27 districts and cities in West Java for the period 2015 – 2017. This research is important as an alternative approach of longitudinal data regression analysis when we found a correlation problem in the condition of observed data.
本研究的目的是确定广义估计方程(GEE)分析作为西爪哇省儿童福利综合指数数据的纵向数据回归方法之一。GEE分析使用四种不同的相关结构来确定最佳模型,即:独立、可交换、AR(1)和非结构化。采用准似然信息准则(QIC)确定四种结构的最佳模型。西爪哇CWCI纵向数据由5个自变量组成,每个变量是西爪哇27个区市2015 - 2017年期间的生存、保护、成长和发展、参与和认同的一个维度。当我们发现观测数据条件下存在相关性问题时,本研究作为纵向数据回归分析的一种替代方法具有重要意义。
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引用次数: 0
Learning Mathematical Modeling: The 7th Grade-Students Skills in Solving Inverse Proportion Visual-Formed Problem 学习数学建模:七年级学生解决反比视觉化问题的技巧
Yenny Silviana, Darmawijoyo, R. H. Simarmata
This research aims to determine the 7 grade-students skills in solving the inverse proportion visual-formed problem through mathematical modeling learning. This research type was descriptive research using a qualitative approach. The subjects of this research were 19 students of the 7 grade-student of SMP Negeri 6 Indralaya Utara. We carried out the data collection techniques through the post-test and interviews. Based on the findings, here were found that the mathematical modeling problem in terms of visual provided a significant contribution to the student skills in solving the inverse proportion visual-formed problem. The details of the occurrence percentage of indicators were as follows: the identifying problem was 42,98%, the defining variable was 28,07%, formulating a mathematical model was 45,61%, completing the mathematics model was 52,63%, and applying the model was 50,00%.
本研究旨在通过数学建模学习,确定七年级学生解决反比视觉形成问题的能力。这种研究类型是使用定性方法的描述性研究。本研究的对象是19名印度北达拉雅中学7年级的学生。我们通过后测和访谈进行数据收集技术。在此基础上,本研究发现,视觉方面的数学建模问题对学生解决反比视觉形成问题的技能有显著的贡献。具体指标出现率为:识别问题为42.98%,定义变量为28.07%,制定数学模型为45.61%,完成数学模型为52.63%,应用模型为50.00%。
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引用次数: 0
Genetic Algorithm Approach in Forming the Optimal Portfolio of Issuer Companies with Dividend Distribution Criteria 基于股利分配准则的发行公司最优投资组合的遗传算法研究
I. Fahria, E. Kustiawan
Investing in the capital market for some investors is a challenge in itself. Investors are required to be able to determine the right combination and proportion of shares when they want to place a number of funds in each share that make up the optimal portfolio. The solution to the optimal portfolio formation problem can be done (Place holder) by using a genetic algorithm method approach. The purpose of applying genetic algorithms is to form an optimal portfolio with a proportion of stocks that can generate optimal profits with a justifiable loss rate. A case study was conducted on the companies compiling the LQ-45 index with dividend distribution criteria as many as 35 shares traded on the Indonesia Stock Exchange. The results showed that by using the genetic algorithm method, an effective problem solving was obtained in the formation of an optimal portfolio in issuers with dividend distribution.
对一些投资者来说,投资资本市场本身就是一个挑战。当投资者想要在每只股票中投入一定数量的资金以构成最佳投资组合时,他们必须能够确定正确的股票组合和比例。利用遗传算法方法求解最优投资组合问题(占位问题)。应用遗传算法的目的是形成一个最优投资组合,其中股票的比例可以在合理的损失率下产生最优利润。对编制LQ-45指数的公司进行了案例研究,该指数具有股息分配标准,在印度尼西亚证券交易所交易的股票多达35只。结果表明,利用遗传算法方法,可以有效地求解具有股利分配的发行人最优投资组合的形成问题。
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引用次数: 1
Dealing with Challenges in Teaching & Learning Mathematics in Flipped Classroom Model in Pandemic Era 大流行时代翻转课堂模式下数学教与学的挑战
A. Hidayat, Wakhid Fitri Albar, Wihdati Martalyna
The existence of technology in teaching and learning processes has changed the way how teachers transfer their knowledge to their students. Moreover, pandemic covid-19 has forced the use of technology in learning. The existence of flipped classrooms has given positive effects towards both learning effectiveness in understanding the basic concept, attractive learning, student achievement also collaborative learning among students. Flipped classrooms, however, have some challenges in an actual class application. Therefore, this article is intended to explore the various challenges of teaching and learning mathematics in flipped classroom model in the pandemic era. The teachers who commonly use traditional teaching as their method preference find some problems regarding how to manage and design the flipped classroom model in their teaching practice. To learn more about the idea of flipped classroom design, teachers should enhance their knowledge through training or collaborative study with professionals or experts in flipped classrooms. This is vital because it helps the teacher set up their classroom properly. Furthermore, we managed to implement the flipped classroom, then provided the data in the form of descriptive analysis.
技术在教学和学习过程中的存在改变了教师向学生传授知识的方式。此外,2019冠状病毒病大流行迫使人们在学习中使用技术。翻转课堂的存在对基本概念的理解、吸引力的学习、学生的学习成绩以及学生之间的协作学习都产生了积极的影响。然而,翻转课堂在实际课堂应用中存在一些挑战。因此,本文旨在探讨大流行时代翻转课堂模式下数学教学面临的各种挑战。以传统教学为教学方法偏好的教师在教学实践中发现了如何管理和设计翻转课堂模式的问题。为了更好地了解翻转课堂的设计理念,教师应该通过培训或与翻转课堂的专业人士或专家合作学习来提高自己的知识。这是至关重要的,因为它可以帮助老师正确地设置他们的教室。此外,我们设法实施翻转课堂,然后以描述性分析的形式提供数据。
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引用次数: 3
Pre-Service Biology Teachers’ Attitudes Towards Math: Using the Covid-19 Case in Calculus Course 职前生物教师对数学的态度——以新冠肺炎疫情为例
K. Tamba
Mathematics, especially calculus, cannot be separated in the field of biology. Mathematical abilities are essential in understanding biological phenomena. However, pre-service biology teachers’ attitudes toward math tend to be negative. For this reason, an interdisciplinary approach is needed so that that pre-service biology teachers can see the relationship between biology and mathematics. An interdisciplinary approach can be in the form of case studies. This study explores the pre-service biology teachers’ attitudes toward math(calculus), which is taught using the Covid-19 case study. Data were collected using a reflection sheet and a questionnaire. On the reflection sheet, pre-service biology teachers are asked to write down their reflections on mathematics in biology after attending a lecture session. The questionnaire uses a Likert scale to see their attitude toward math before and after completing the course session. The data from the reflection sheet were analyzed qualitatively descriptively by using coding. Meanwhile, the data from the questionnaire were analyzed using descriptive statistics. The results showed pre-service biology teachers’ attitudes toward math (calculus) tend positive in two aspects. Pre-service biology teachers can see a connection and the importance of calculus in biology and interest in calculus. But, pre-service biology teachers have negative attitudes in aspect Perceived cost.
数学,尤其是微积分,在生物学领域是分不开的。数学能力对于理解生物现象是必不可少的。然而,职前生物教师对数学的态度往往是消极的。因此,需要跨学科的方法,使职前生物教师能够看到生物学与数学之间的关系。跨学科的方法可以采用案例研究的形式。本研究以新冠肺炎为例,探讨职前生物教师对数学(微积分)的态度。数据收集采用反思表和问卷调查。在反思表上,职前生物教师被要求在一堂课后写下他们对生物数学的思考。问卷使用李克特量表来观察他们在完成课程前后对数学的态度。利用编码方法对反射片数据进行定性描述分析。同时,对问卷数据进行描述性统计分析。结果显示职前生物教师对数学(微积分)的态度在两个方面趋于积极。职前生物教师可以看到微积分在生物学中的重要性和对微积分的兴趣之间的联系。而职前生物教师在感知成本方面的态度是消极的。
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引用次数: 1
Development of Discrete Mathematics Learning Content Using Google Classroom in Mathematics Education Students 利用谷歌课堂开发数学教育学生的离散数学学习内容
Nirfayanti, Sugian Nurwijaya, Suarti Djafar, Reski Ramdani, Nely Salu Padang, Ernawati
The type of research used was development research that aims to develop learning content in discrete mathematics courses that are valid, practical, and effective for use in Mathematics Education students. The subjects in this study were students who programmed discrete mathematics courses in the odd semester of the 2020/2021 academic year. The development process in this research refers to the development model adapted fromPlomp, consisting of the initial investigation, design, realization, test, evaluation, and revision phases and implementation. The research instrument used was the learning implementation observation sheet, validation sheet, student response questionnaires, and learning outcome tests. The results of the research both theoretically and empirically show that the assessment tools developed to meet the following criteria: (1) valid according to expert judgment and empirically the instrument items are valid, (2) practical, students respond positively to the instrument being developed, and (3) effective based on the results of student learning tests have reached completeness. The results of research and development of learning content as shown in the above trial results show that the instruments developed have met the criteria of validity, practicality, and effectiveness, as learning content that can be used further by Mathematics Education lecturers in Higher Education
所使用的研究类型是发展研究,旨在开发离散数学课程中有效、实用和有效的学习内容,供数学教育学生使用。本研究的对象是在2020/2021学年的奇数学期编写离散数学课程的学生。本研究的开发过程是指采用plomp的开发模型,包括最初的调查、设计、实现、测试、评估、修订和实施阶段。使用的研究工具为学习实施观察表、验证表、学生反应问卷和学习成果测试。理论和实证研究结果表明,所开发的评估工具满足以下标准:(1)根据专家判断有效,经验上工具项目有效;(2)实用,学生对所开发的工具反应积极;(3)基于学生学习测试结果的有效性达到完整性。学习内容的研发结果如上述试验结果所示,开发的工具达到了有效性、实用性和有效性的标准,可以作为高等教育数学教育讲师进一步使用的学习内容
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引用次数: 0
Introduction to Problem Solving Based Learning Model 基于问题解决的学习模式导论
T. G. Ratumanan, C. S. Ayal
Studies on innovative learning model are currently being carried out by experts to contribute to improving the quality of education and learning. Problem Solving Based Learning Model (PBPM) is one of the new model that the author has developed since 2017-2020. From the development results, this model is considered to meet the quality requirements of a learning model, namely meeting the aspects of validity, practicality, and effectiveness. The syntax of the PBPM model consists of 7 stages (phases), namely (1) introduction, (2) discussion of material, (3) problem solving, (4) presentation and discussion, (5) expansion of problem solving, (6) presentation and discussion ( continued), and (7) closing. With a focus on problem solving, especially in phase 5, where the problems presented are complex problems, including problems presented in an open-ended form, will stimulate the development of problem-solving abilities, higher-order thinking, and creative thinking. The fourth and sixth phases, namely presentations and discussions, will not only improve understanding of mathematics material, but also develop mathematical communication skills. Furthermore, the problemsolving process carried out in small groups cooperatively will have an impact on the development of cooperation capabilities and acceptance of diversity.
目前,专家们正在开展关于创新学习模式的研究,以促进教育和学习质量的提高。基于问题解决的学习模型(Problem Solving Based Learning Model, PBPM)是作者自2017-2020年以来开发的新模型之一。从开发结果来看,该模型符合学习模型的质量要求,即满足有效性、实用性和有效性方面的要求。PBPM模型的语法由7个阶段(阶段)组成,即(1)介绍,(2)材料讨论,(3)问题解决,(4)呈现和讨论,(5)问题解决的扩展,(6)呈现和讨论(继续),(7)结束。专注于解决问题,特别是在阶段5,这里提出的问题是复杂的问题,包括以开放式形式提出的问题,这将刺激解决问题能力、高阶思维和创造性思维的发展。第四和第六阶段,即演讲和讨论,不仅可以提高对数学材料的理解,还可以培养数学沟通能力。此外,在小组合作中进行的问题解决过程将对合作能力的发展和对多样性的接受产生影响。
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引用次数: 0
Using the Rasch’s Partial Credit Model to Analyze the Quality of an Essay Math Test 用Rasch的部分学分模型分析数学论文考试的质量
S. Wahyuningsih
The instrument in the form of an essay math test is one of the tools to measure the progress of the learning process or learning outcomes. The essay math test needs to be applied in education because students are trained to be independent, creative, innovative, and improve literacy skills. A good measurement model facilitates as much information as possible, for example, qualitative information, the accuracy of the interpretation of the instrument according to its function, provides a linear measure, can overcome missing data, and find data that is incorrect (misfits) or uncommon (outliers). Rasch's Partial Credit Model can identify the quality of the essay math test more accurately. The reliability value in Rasch modeling is indicated by the value of individual separation (person separation) and item separation. Output summary statistics to get information on the person and item reliability and Cronbach alpha. Analysis with the Rasch model produces a statistical analysis of suitability (fit statistics) which provides information that the data obtained ideally illustrates that people who have a high ability provide patterns of answers to items according to their level of difficulty. To analyze the quality of an essay math test using Rasch's Partial Credit Model, ministep software can be used.
论文数学测试形式的工具是衡量学习过程进展或学习成果的工具之一。数学论文测试需要应用于教育,因为学生被训练成独立、有创造力、有革新精神,并提高读写能力。一个好的测量模型可以提供尽可能多的信息,例如,定性信息,根据其功能解释仪器的准确性,提供线性测量,可以克服缺失的数据,并发现不正确(不适合)或不常见(异常值)的数据。Rasch的部分信用模型可以更准确地识别论文数学测试的质量。Rasch模型中的信度值由个体分离(人分离)和项目分离值表示。输出汇总统计信息,以获得有关人员和项目的可靠性和Cronbach alpha的信息。用Rasch模型进行的分析产生了适合性的统计分析(拟合统计),它提供的信息是,所获得的数据理想地说明了具有高能力的人根据他们的难度水平提供了对项目的答案模式。为了使用Rasch的部分信用模型来分析论文数学测试的质量,可以使用ministep软件。
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引用次数: 0
Portfolio Performance Evaluation for LQ 45 Index in 2016-2020 Periods Using the Treynor Method 用Treynor方法评价lq45指数2016-2020年投资组合绩效
Wahidah Alwi, B. Nurhafsari., Ilham Syata, Risnawati Ibnas, Sri Dewi Anugrawati
This research discussed the portfolio performance evaluation using the Treynor method. The portfolio performance evaluation aims to assess the established portfolio whether had a good performance and suitable to the investment goals. At the research, a portfolio was selected based on the efficient stock by taking two criteria that were, the first, ( portfolio A ) based on the greatest positive expected returns and the second (portfolio B) based on the smallest positive risk (beta). The result showed from the formation of the portfolio are for portfolio A was selected AKRA and PTBA stocks, as for portfolio B was selected ICBP and BBCA stocks. Of these two portfolios, both had good performance since the index Treynor acquired had positive results and portfolio B had better performance than portfolio A.
本研究运用Treynor方法探讨投资组合绩效评价。投资组合绩效评价的目的是评价已建立的投资组合是否具有良好的绩效,是否适合投资目标。在研究中,通过两个标准来选择基于有效股票的投资组合,第一,(投资组合a)基于最大的正预期收益,第二(投资组合B)基于最小的正风险(beta)。结果表明,从形成的投资组合来看,对于投资组合A选择了AKRA和PTBA股票,对于投资组合B选择了ICBP和BBCA股票。这两个投资组合的表现都很好,因为Treynor获得的指数是正向的,而且投资组合B的表现优于投资组合A。
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引用次数: 1
Investigating Students’ Errors in Graphing Polynomial Functions 探究学生在多项式函数绘图中的错误
Dahliatul Hasanah, I. N. Hidayah, Trianingsih Eni Lestari, Lucky Tri Oktoviana, M. Agung
The transition from school to college mathematics courses involving advanced mathematics is a challenging task for many students. Undergraduate students in their first year are very often to experience difficulties in understanding mathematical concepts in a setting that emphasizes symbolic algebraic skills and graphing skills. Graphing skills are very important ability to grasp for students especially for whom mastering in mathematics. However, many references outlined that many students lack graphical skills. This study aims to investigate various students’ errors in graphing polynomial functions which are considered as basic types of functions. To gather data on students’ errors in graphing polynomial functions, two kinds of test are administered to first year students majoring in mathematics. The first test is directed to investigate students’ prior knowledge on graphical skills learnt in school. On the other hand, the second one is aimed to gather information on students’ graphical skills in higher order polynomial functions which have not been taught in school. The result reveals that many students make errors in graphing higher polynomial functions the same way as graphing linear and quadratic ones. Students’ prior knowledge in graphing linear and quadratic functions essentially influences graphing skills in polynomial functions of higher degree.
对许多学生来说,从中学到大学的高等数学课程的过渡是一项具有挑战性的任务。在强调符号代数技能和绘图技能的环境中,大一的本科生在理解数学概念方面经常遇到困难。绘图技能是学生掌握的一项非常重要的能力,尤其是对那些正在学习数学的学生。然而,许多参考资料指出,许多学生缺乏图形技能。多项式函数是函数的基本类型,本研究旨在探讨学生在绘制多项式函数时的各种错误。为了收集学生在多项式函数图上的错误数据,对数学专业一年级的学生进行了两种测试。第一个测试旨在调查学生在学校所学的图形技能的先验知识。另一方面,第二题旨在收集学生在高阶多项式函数中的图形技能信息,这是学校没有教过的。结果表明,许多学生在绘制高多项式函数图时犯了与绘制线性和二次函数图相同的错误。学生对线性函数和二次函数的先验知识本质上影响了更高次多项式函数的绘图技能。
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引用次数: 0
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Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020)
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