bluuebunny/crossref_metadata_2025_split huggingface dataset:
A comparison between Cole-Hopf Tranformation and Homotopy Perturbation Method for Viscous Burger Equation in Traffic Flow
Authors: Binatari N 
Published: November 2019

Abstract
This paper presents the comparison of Cole-Hopf transformation and Homotopy Perturbation Method for solving viscous Burgers Equation in traffic flow problems. A problem is presented to demonstrate the differences. The result shows that even though Cole-Hopf transformation brings exact solution for all cases, the formula is in complicated form. Compared to this, Homotopy Perturbation Method is more effective to solve burger equation with boundary condition in traffic flow problems.
Biometric Patterns Of Eye Iris By Using Hidden Markov Model
Authors: Waryanto N H , Andayani S , Fauzan M , Wulandari T 
Published: November 2019

Abstract
Biometrics is an individual recognition system that consists of two kinds of modern and traditional. A biometric system is essentially a personal identification system by determining the authenticity of a physiological characteristic, or a particular behavior that the user possesses. Such biometric technology is defined as an automated method of identifying and authenticating a person’s identity based on the user’s physiological and behavioral characteristics. The purpose of this research is to know the accuracy level of iris pattern identification using Hidden Markov Model with Gabor wavelet method, to know the iris feature extraction process as part of image processing process using Gabor wavelet method. The method used for data processing is by using Hidden Markov Model, Gabor Wavelet and 2D Order Statistic Filter. The accuracy of the iris identification system indicates that using the Hidden Markov Model with the Gabor Wavelet filter provides a lower accuracy value than using the 2D Order Statistic Filter (ORDFILT2). Gabor Wavelet filter gives 91.50% accuracy level while ORDFILT2 Filter gives 98.5% result.
Developing Students’ Mathematical Literacy through Problem Based Learning
Authors: Junianto  , Wijaya A 
Published: November 2019

Abstract
The modern era requires more than just conceptual and procedural knowledge. Many studies such as the Program for International Student Assessment (PISA) emphasize the importance of individual’s ability to apply their conceptual and procedural knowledge. Such competence in mathematics is referred to as mathematical literacy. With this respect, the present study is aimed to explore the possibility of Problem Based Learning (PBL) as a means to develop students’ mathematical literacy. For this aim, a literature review was used for which 11 research articles on the effectiveness of Problem Based Learning (PBL) in learning several mathematical competences were selected and reviewed. By focusing on the common characteristics between the mathematical competences reported in the 11 articles and the characteristics of mathematical literacy, the literature review show that PBL has a potential to develop students’ mathematical literacy. Variables in the 11 articles like critical thinking, creative thinking, students’ understanding, and mathematical communication are related to fundamental capabilities in mathematical literacy. The result of this studies prove that the use of PBL from elementary school to university level can improve students’ mathematical literacy skills.
A Comparative Analysis of Indonesian and Singaporean Mathematics Textbooks from the Perspective of Mathematical Creativity: A Case Statistics and Probability
Authors: Ramelan M , Wijaya A 
Published: November 2019

Abstract
Mathematical creativity is very important in this 21st century competition. This skill can be taught and facilitated through a supported textbook. There is a relationship between textbooks used and mathematics achievement of the students. To what extent students’ creative thinking can be seen in the tasks of the textbooks. This study compared the mathematical creativity for the topic of probability in Junior High School (JHS) Indonesian and Singaporean mathematics textbooks. Textbooks will be analyzed from the perspectives of originality, fluency, flexibility, and elaboration aspects. Indonesian mathematics textbooks and Singaporean mathematics textbooks both facilitate mathematical creativity. Indonesian textbooks can facilitate three of four aspect creativity and Singaporean mathematics textbooks two of four aspect creativity. There are many tasks that supported more than one aspect of mathematical creativity but all mathematics textbook were analyzed doesn’t support fluency aspect. Singaporean textbook has 18% task that facilitated mathematical creativity and Indonesian mathematics textbook has 10%. The finding showed that Singaporean textbooks more facilitate thinking of students’ mathematical creativity.
The Impact of Discovery Learning on Students’ Mathematics Learning Outcomes
Authors: Kamaluddin M , Widjajanti D B 
Published: November 2019

AbstractThe aim of this study is to describe the impact of discovery learning on students’ mathematics learning outcomes. Empirical evidence of the positive impact of this method was collected from the results of searching in reputable online journal database and synthesized using a systematic literature review method. Twenty articles were found that meet with the following criteria: (1) research articles containing empirical evidence of the impact of discovery learning on students’ mathematics learning outcomes, (2) articles published in the period 2000-2018, (3) the subject of research is a group of students on formal education from elementary school to higher education. The selected articles are further synthesized and analyzed. The result of the review shows that discovery learning has a positive impact on students’ mathematics learning outcomes on cognitive, affective, and psychomotor aspects. Each step in discovery learning has an important role in learning mathematics. However, to develop the student’s particular ability or skill, the teachers should emphasize certain steps that have the greatest potential to improve them, without eliminating other steps.
Identification of Misconceptions in Middle School Mathematics Utilizing Certainty of Response Index
Authors: Hayati R , Setyaningrum W 
Published: November 2019

Abstract
Student’s understanding of a material concept differs one to the others. This comprehension will be used to learn the next material. Thus, it is important to know whether or not the student understands a mathematical concept. The aim of the research is to identify students’ misconceptions in mathematics and the possible causes of misconceptions. This qualitative case study approach used a multiple choices test given to 53 middle school mathematics students in grade 9 in Yogyakarta, Indonesia. The identification of students’ misconceptions was based on the Certainty of Response Index (CRI) technique. The result showed that 20.9% of students had misconceptions in working mathematical problems. Meanwhile, the percentage of lucky guess, knowledge of correct concepts and lack of knowledge respectively is 18.8%, 32.7%, and 27.6%. The data indicated that students had misconception in classifying objects based on fulfilling requirements that form concepts, determining the right concepts to solve problems, distinguishing the necessary conditions and/or sufficient conditions for the concept of a circle. The result suggests that in the learning process students should be trained to understand the concept well, not only memorize the material. Furthermore, teachers and students should be given adequate interaction during the learning process.
The role of spatial experience in mental rotation
Authors: Hertanti A , Retnawati H , Wutsqa D U 
Published: November 2019

Abstract
Mental rotation is one of spatial reasoning ability. It is the ability of a person to imagine how objects of a two- or three-dimensions look like when rotated in a specific degree. Not only due to curriculum demand, mental rotation is also essential for Mathematics itself, such as in geometry. In addition, it also helps students for their future career, such as architects, computer programmers, and graphic designers. This study aims to describe the mental rotation of female and male students who have spatial experiences with those who do not have spatial experience. The data were collected using Mental Rotation test and interview and were analysed qualitatively. A total of 10 post-graduate students were interviewed in a semi-structural way. The results showed that spatial experience has an important role in improving one’s mental rotation.
Learning Obstacles among Indonesian Eighth Graders on Ratio and Proportion
Authors: Wahyuningrum A S , Suryadi D , Turmudi T 
Published: November 2019

AbstractMany studies reported that the students lack understanding on the topic of ratio and proportion. This topic basically becomes a cornerstone for understanding the other mathematics topics, developing mathematical skills, and helping the students to solve real-life problems, but many researchers have documented the obstacles regarding this topic. For such a reason, this study intends to investigate kinds of learning obstacles on the topic of ratio and proportion that can emerge due to some causes. It was part of didactical design research which was conducted to eighth graders who had already been taught about its topic. The data were collected from students’ answer and interview in solving ratio and proportion problems. The data analysis reveals that the obstacles are classified into ontogenic obstacle, didactical obstacle, and epistemological obstacle. It can be identified from students’ understanding or conception about ratio and proportion which was caused by students’ prior knowledge, didactical practices, or the lack of contexts. These findings are expected to overcome learning obstacles in teaching and learning of ratio and proportion.
The design of sketchup software-aided generative learning for learning geometry in senior high school
Authors: Jaelani A , Kusumah Y S , Turmudi  
Published: November 2019

Abstract
Geometry learning needs to be observed by teachers and researchers because students often experience difficulties. At present, learning mathematics that utilizes technology is a challenge for them. This paper describes design of SketchUp software-aided generative learning for learning geometry about distance and angle in space in Senior High School. The data were collected from learning observation and interview with lecturers, teachers, and students. Its analyses were data display, data reduction, and drawing conclusion. Research prosedures were designing, validation, revising, conducting learning trial, and revising. It had produced the technical structures and descriptions of learning and learning instruments including SketchUp files supporting them and was ready to disseminate in larger students learning communities in senior high school.
How Indonesian and Singaporean Students (might) Learn the Pythagorean Theorem: A Comparative Analysis of Textbooks
Authors: Wijaya A 
Published: November 2019

Abstract
Textbook is considered as a potentially implemented curriculum because it mediates between the intended curriculum and teachers’ classroom practices. Textbooks heavily influence the teaching and learning process that, consequently, implies students’ achievement. A number of studies show the relationships between students’ mathematics achievement and the textbooks they use during the learning processes. The present study reports a comparative analysis of Indonesian and Singaporean textbooks for the topic of the Pythagorean Theorem. An Indonesian mathematics textbook and a Singaporean mathematics textbook for junior high schools were analyzed. The results of the textbook analysis show that both textbooks used activities-based and context-related explanation section. Although Indonesian and Singaporean textbooks included context, the purpose of context in both textbooks were different.
Metacognitive awareness: how it affects mathematical problem-solving process
Authors: Arum Rahmi Puspita , Widjajanti Djamilah Bondan , Retnawati Heri 
Published: November 2019

Abstract
Problem-solving is one of the basic skills in learning mathematics where in the process needs awareness in every step. Metacognitive awareness means to be aware of how to think. This study aimed to know the effect of metacognitive awareness in the mathematical problem-solving process. This is a descriptive-qualitative study. The samples of this study are 10 students. Data of metacognitive awareness were collected using questionnaire adapted from Metacognitive Awareness Inventory (MAI) developed by Schraw and Dennison, data about mathematical problem-solving process were based on the test result. The MAI measures two components which include the knowledge about cognition and the regulation of cognition. The results indicate that the two components of metacognitive awareness, that is knowledge about cognition and regulation of cognition gave the effect to mathematical problem-solving students especially for regulation of cognition. The Student with high levels of regulation of cognition is able to reach a more complete problem-solving process than the students with medium levels of regulation of cognition.
An analysis of students’ mathematical reasoning ability in statistic problem solving based on structure of the observed learning outcome taxonomy
Authors: Lestary R , Subanji  , Rahardi R 
Published: November 2019

Abstract
This research was done to describe students’ ability toward mathematical reasoning in solving statistics test within mean material based on structure of the observed learning outcome (SOLO) taxonomy. There were two participants in this research who have the highest score and the average score. This research was used descriptive qualitative. The collecting data in this research were got from students’ answer sheets and interview. Each question in the test was made based on the indicator in stages of SOLO taxonomy. The interview guidelines used in this test was adapted from the list of questions in Newman analysis procedure. The collected data were analyzed by using qualitative analysis technique, particularly the model of interactive analysis technique. The result shows that the high achiever student stands in the extended abstract stage in SOLO taxonomy when solving the statistics test within mean material, meanwhile the other student belongs to the multi-structural stage of SOLO taxonomy when solving the question about mean.
Analysis of student’s error in resolving the Pythagoras problems
Authors: Sari R H Y , Wutsqa D U 
Published: November 2019

Abstract
This study aims to describe the error made by students in solving Pythagoras questions, to analyse the factors that cause the students to make those errors, and to identify whether students are able to associate trigonometric concepts with Pythagoras. The subject of this study was the eleventh grade students of SMP Negeri 1 Yogyakarta Academic Year 2018/2019. There were 31 samples of students taken as the object of the research. The data collection used was a test. The classification of students’ errors type was done based on Newman process skill errors, inaccuracy, errors in understanding the questions’ intention and errors in the use of notation or misconception. The data analysis technique of the research was conducted through data reduction, data presentation and conclusion. The results showed that the errors percentage in the process was 38%. The less accurate percentage was 25%. The percentage of errors in understanding the intent of the problem was 10%. The percentage of errors in the use of notation was 15%. The percentage in misconception was 12%. The type of errors made by the students were: (1) students not know the meaning of symbols. (2) students not know the purpose of the question. (3) students not know the formula used in problem solving. (4) students cannot solve problems in the algorithm. (5) students cannot solve the problem according to the questions and some students are not able to associate the concept of pythagoras with trigonometry.
Relationship between self-efficacy and mathematical connection ability of junior high school students
Authors: Trihatun S , Jailani  
Published: November 2019

Abstract
This study examines the relationship between self-efficacy and mathematical connection ability. This research used survey method with analytical technique correlational. The population in this study were VII grade students in Yogyakarta. As for the sample of this research are 70 seventh grader students, using technique of purposive random sampling. In this study, the research instrument used is a test of mathematical connection and Self-efficacy questionnaire. Data is analysed quantitatively using the Pearson correlation formula. The results of the study, there was a positive relationship between mathematical connection ability and mathematical self-efficacy of students.
The identification of students’ didactic obstacles in learning fractions based on the form of the problems
Authors: Sugiman  , Murdiyani N M 
Published: November 2019

Abstract
This study aims at knowing whether there are didactic obstacles in learning fractions of students in Yogyakarta based on the form of the problems. Those problems include visual, narrative, and symbolic forms. Materials of fractions consist of the concepts of fractions, equivalent fractions, the order of fractions, decimals, percents, addition of fractions, subtraction of fractions, multiplication of fractions, and division of fractions. The method of this study is survey with expost facto approach. The populations are students of Junior High School grade VII in Yogyakarta. The samples are 151 students from four schools in Yogyakarta. The choice of sample is done by stratified proportional random sampling technique. The instrument is diagnostic test with 27 questions that divide into 9 visual forms, 9 narrative forms, and 9 symbolic forms. Based on the result, students have didactic obstacles in visual forms and narrative forms. While in symbolic forms, students did not have didactic obstacles.
A profile of vocational high school students’ adversity quotient towards mathematics
Authors: Wardani Y , Mahmudi A 
Published: November 2019

Abstract
This study aims to discover the adversity quotient of Vocational High School students towards mathematics, which is divided into three categories namely climber (high), camper (average) and quitter (low). Adversity quotient is influenced by four dimensions including control, ownership, reach and endurance. This survey study had 132 respondents taken from the tenth grade of Vocational High School students, specifically from four departments (office administration, accounting, multimedia, and management). There were 60 items in the questionnaire used to collect the data about the students’ adversity quotient. The questionnaire was arranged using Likert scale which had reliability score of 0.92. The result showed that 27% of students were in climber category, 72% of students were in the camper category and 1% of students were in the quitter category. Based on the percentages, adversity quotient of Vocational High School students towards mathematics is quite good, but improvement is necessarry because learning mathematics requires higher adversity quotient.
Technology-enhanced mathematics learning: A perspective from Cognitive Load Theory
Authors: Chen Ouhao , Woolcott Geoff 
Published: November 2019

Abstract
Cognitive load theory is an instructional theory used to guide the design of effective instruction. The cognitive architecture that underpins cognitive load theory can be described by five principles, essential components that form the basis of many well-tested and well-known cognitive load effects. One of these documented effects, the worked example effect, indicates that showing novices worked solutions rather than asking them to generate solutions could facilitate learning by reducing levels of cognitive load. This paper will demonstrate how the worked example effect can be used in designing interactive podcasts to improve mathematics skills.
Content Analysis of Higher Order Thinking Skills (HOTS) in Mathematics National Exam
Authors: Ratna A M , Retnawati H 
Published: November 2019

Abstract
Higher Order Thinking Skills (HOTS) is a hot topic in education world. It is important for students because they can learn some skills of HOTS to solve their real life problems. However, some previous researches show that there were only a few samples of HOTS questions found in national exam. Knowing that national exam is one of assesment standard in national scale, the researchers are going to analyse the content of HOTS in national exam kit, especially on the last three years of senior high school mathematics exam: 2017, 2016, 2015. This is a qualitative research. The steps taken to analyse are as follows: 1) unitizing (distinguish units according to the characteristic of HOTS), 2) recording (collect data based on the instruments and give additional description about the data) 3) reduction (reduce irrelevant things about HOTS) 4) inferring (present the percentage of HOTS content and make a conclusion of the result). The result revealed that there were only 3.33%, 2.5%, 4.17% of HOTS content in mathematics national exam in the year of 2015, 2016, and 2017, resepectively. The distribution of each category of HOTS content was less evenly distributed.
The Reluctance of Students to Ask in Mathematics Learning: How Does The Teacher Solve It?
Authors: Nuri Bulan , Marsigit  
Published: November 2019

Abstract
This study aims to describe factors that cause passivity and are reluctant to ask students during learning, as well as to see what efforts made by the teacher to overcome the problem. So that later it will give an illustration of the extent to which the teacher understands and knows the impact of the learning that has been done. Participants from this study were 12 mathematics teachers who had 10-34 years of teaching experience. The Result show that the majority of teachers thought that fear and shame were the main factors for causing students’s low participation and reluctant to ask. Unfortunately, there are still many teachers who have not realized that the learning method used. In addition, the effort made to overcome these problems is to provide motivation and make an interesting and comfortable learning atmosphere. That is the answer which is most expressed by the teacher.
Students’ Ability Of Mathematical Problem-Solving Based On SOLO Taxonomy
Authors: Saputra D C , Nurjanah A , Retnawati H 
Published: November 2019

Abstract
One of the critical purposes of learning mathematics is to improve the problem-solving ability. To figure out the level of students’ ability in mathematical problem-solving, this study employed SOLO taxonomy. 32 students of VIII grade in SMP Muhammadiyah Bantul were involved. Their level of mathematical problem-solving ability was categorized based on SOLO taxonomy that consists of pre-structural, uni-structural, multi-structural, relational, and extended abstract. Using a qualitative descriptive method, data were collected by problem-solving test in a pattern of number material and interviews. The results revealed that most students are in the uni-structural level, both of upper and lower group students. This finding shows that the students need to be supported and well facilitated in order to reach higher levels, such as relational and extended abstract levels.