Toto Nusantara
@um.ac.id
Department of Mathematics, FMIPA
Universitas Negeri Malang
EDUCATION
Graduated IKIP Malang, Math. Education
Magister ITB, Math. Analysis
Doctor ITB, Applied Math.
RESEARCH INTERESTS
Applied Mathematics, Fuzzy Graph Theory, Mathematics Education
Scopus Publications
Scholar Citations
Scholar h-index
Scholar i10-index
Scopus Publications
Lathifaturrahmah Lathifaturrahmah, Toto Nusantara, Subanji Subanji, and Makbul Muksar
AIP Publishing
Christi Matitaputty, Toto Nusantara, Erry Hidayanto, and Sukoriyanto
AIP Publishing
Yeni Rahma Oktaviani, Toto Nusantara, and Santi Irawati
AIP Publishing
Dyah Laillyzatul Afifah, Swasono Rahardjo, Vita Kusumasari, Purwanto, Toto Nusantara, Nur Atikah, and Nadia Kholifia
AIP Publishing
Moh. Nasih Aminulloh, Toto Nusantara, Mochammad Hafiizh, and Desi Rahmadani
AIP Publishing
Sukiyanto Sukiyanto, Toto Nusantara, Sudirman Sudirman, and I Made Sulandra
Galoa Events Proceedings
Background: A concept that exists in students' minds and is used to describe and explain a phenomenon is called a mental model. Objective: This study aims to describe the transition-apprehending mental model of students in understanding the concept of integers. Design: This study used a qualitative approach and the type of research conducted was descriptive. Setting and participants: The subjects of this study were 35 students in grade VII Junior High School. Subjects were given a test to determine their understanding of the concept of integers. Data collection and analysis: data collection in this study, using test questions and interviews. Data analysis used five steps, namely 1) data transcoding; 2) reviewing data; 3) data reduction; 4) presenting data; 5) analyze the process of forming mental models; and 6) verifying the findings. Results: showed that grade VII students were at the transition-Apprehending level, as evidenced by students being able to compare negative integers and positive integers with the same magnitude symbol. Conclusion: based on the results of research that has been found, students already understand positive integers and negative integers using a number line .
Lia Budi Tristanti and Toto Nusantara
AIP Publishing
Indah Setyo Wardhani, Toto Nusantara, I Nengah Parta, and Hendro Permadi
North American Business Press
Integrating spatial skills into the model of geometry learning has become a major concern because of its role in solving geometric problems. Therefore, the present study endeavors to design syntax, social systems, reaction principles, support systems, and learning impact. To achieve this goal, a literature review was conducted, involving 58 scholarly articles and 11 literary books to inform the design of the learning model based on key constructs such as learning theory, spatial skills, and model development. The research culminated in articulating a rigorous theoretical rationale and an underlying framework that informs the learning model’s conceptualization.
Murtafiah, Fauziah Hakim, Toto Nusantara, and Subanji
AIP Publishing
Galuh SWASTİKA, Toto NUSANTARA, Subanji SUBANJİ, and Santi IRAWATİ
Participatory Educational Research (Per)
This study aims to describe the translation process of representation in mathematics education students’ solving of mathematical problems in the form of graphs. The translation process involves four activities: unpacking the source, preliminary coordination, constructing the target, and determining equivalence. The study was conducted on 65 students who took Calculus at three different universities in East Java Province, Indonesia. Research data in the form of answers to mathematical problems, video recordings, and interviews were analyzed based on the activity of the translation process within the accommodation and assimilation framework. Based on data analysis, the characteristics of the representation translation process are obtained in three categories, namely the symbolic-algebraic translation process (SA), the verbal translation process (V), and the symbolic-conceptual translation process (SC). When “unpacking the source” and “preliminary coordination,” SA looks difficult, so it changes the equations and graphs for completion several times. V verbally smoothly performs four translational process activities. However, subject V has doubts about the graph made after reading the question back. SC uses graph equations until it finds a solution in the form of a graph. However, after reflection, SC resolves the problem with the theory of monotony. It is important for the future teacher to understand the translation process of representation, especially given the difficulty students have solving mathematical problems. Prospective teachers are expected to be able to develop meaningful learning with various forms of representation so that students can connect their concepts to problem solving.
Mohamad Yasin and Toto Nusantara
AIP Publishing
Subanji Subanji, Toto Nusantara, Sukoriyanto Sukoriyanto, and Satriya Adika Arif Atmaja
Universitas Negeri Yogyakarta
For students to compete with the rapid advancement in science, technology, and the arts, creativity must be more than just a necessary skill. This study of levels of creativity performed when addressing statistical issues is a follow-up to earlier studies. To create a distinctive model, a controversial aspect was used. The study revealed that there were five levels of creative models, in addition to the three levels of the earlier research: pre-imitation, imitation, modification, combination, and construction. The pre-imitation stage is defined by the subject's limited capacity for imitation. The level of imitation is determined by the act of copying methods even when one does not actually understand them. The modification level is essentially defined by the process of altering a procedure so that it can be applied to solve an issue. The process for merging several settings or problem-solving strategies also serves to define the level of combination. The construction level is determined by the process of developing new methods to handle problems.
Lathifaturrahmah Lathifaturrahmah, Toto Nusantara, Subanji Subanji, and Makbul Muksar
Modestum Ltd
The purpose of this study is to describe the characteristics of predictive reasoning made by students in solving graph-related problems, particularly related to COVID-19. This is a descriptive qualitative study with data collected from a sample size of 25 senior high school students and analyzed using the <i>generalization-prediction task</i>. The result revealed that there are three types of students’ predictive reasoning made based on (1) data observation, (2) data observation coupled with prior experience, and (3) data observation coupled with prior experience or knowledge. The experience used to make a prediction is obtained from personal life, classroom, and general knowledge about COVID-19. In conclusion, this study improves students’ understanding and ability to reason with graphs and future studies can be conducted with different prediction tasks.
Lia Budi Tristanti and Toto Nusantara
Hindawi Limited
This study aims to determine the effectiveness of applying the learning model in linear algebra at a university in the city of Jombang, Indonesia, which is indicated by looking at student learning outcomes, student learning activities, and the ability of lecturers to manage to learn. The quasi-experimental research method was carried out for 3 months involving two classes of students consisting of an experimental class (infusion learning model) and a control class (conventional learning). Data were collected through test sheets (pretest and posttest), student activity observation sheets, and lecturers’ ability observation sheets in managing to learn. Data were analyzed using two techniques, namely, inferential statistical analysis and descriptive statistical analysis. Based on inferential statistical analysis, it shows differences in students’ argumentation abilities between the control and experimental groups. In addition, based on the results of the descriptive analysis, student learning outcomes in the infusion learning model obtained more than the minimum standard value, students were active in learning activities, and lecturers’ abilities were good and very good in managing to learn. Thus, the infusion learning model effectively learns linear algebra with vector subspace topics. These findings indicate that students are enthusiastic about solving problems, building arguments not in dialog and arguments in dialog, and actively discussing with other students in class. We suggest that lecturers apply infusion learning to other math topics so that students can be enthusiastic about learning mathematics in class. Alternatively, lecturers can use the infusion learning model with technology-assisted learning to make learning more interesting for students.
Agung Putra Wijaya, , Toto Nusantara, Sudirman Sudirman, Erry Hidayanto, , , and
Modestum Ltd
Mohammad Nasih Aminulloh, Toto Nusantara, and Mochammad Hafiizh
AIP Publishing
Toto Nusantara
AIP Publishing
Ainin Yusri Saputri, Toto Nusantara, and Desi Rahmadani
AIP Publishing
Siti Faizah, Toto Nusantara, Sudirman, Rustanto Rahardi, Susiswo, Subanji, and Ria Kamilah Agustina
AIP Publishing
Suwarno, Toto Nusantara, Susiswo, Santi Irawati, and Abdul Halim Abdullah
AIP Publishing
Suci Yuniati, Toto Nusantara, Imade Sulandra, and Suparjono Suparjono
Galoa Events Proceedings
Background : Every student has the ability to think, especially the ability to think when solving mathematical problems. The teacher must explore this ability to determine student understanding of the material being taught. Functions are essential because they are the basis for understanding algebra. The way of thinking about function is called functional thinking. Objective : This study aims to investigate the functional thinking process of students in solving mathematical problems based on the APOS theory. Design : This type of research is qualitative through an exploratory, descriptive approach. Setting and participants : Two out of 44 university students that can communicate fluently when working on questions using the think-aloud and interview methods. Data analysis : Analysis of students’ functional thinking processes using the triangulation method, namely comparing think-aloud data, student answer sheets, and interview results. Results : This study found two ways of student functional thinking processes, namely semi-compositional functional thinking processes and compositional functional thinking processes, where students can generalise the relationship between quantity variations in the form of a composition function. Conclusion : This study investigates the functional thinking process of students in exploring the understanding of the concept of function so that students are expected to be able to represent and generalise function forms. de quantidade na forma de uma função de composição. Conclusão : Este estudo investiga o processo de pensamento funcional dos alunos ao explorar a compreensão do conceito de função, de modo que se espera que os alunos sejam capazes de representar e generalizar funcionais.