@uhamka.ac.id
Mathematics Education
Universitas Muhammadiyah Prof. DR. HAMKA
Sociomathematical Norm, Proving Geometry, ICT in mathematics Learning, Psycometry
Scopus Publications
Scholar Citations
Scholar h-index
Scholar i10-index
Samsul Maarif, Joko Soebagyo, Trisna Roy Pradipta, and Sri Adi Widodo
Eurasian Society of Educational Research
<p style="text-align: justify;">Students in mathematics classes do not understand the importance of sociomathematical norms in learning mathematics. This causes sociomathematical norms not to be teachers' focus when learning mathematics. Besides, there is no standardized instrument for assessing this norm, so developing this instrument is necessary to measure socio-mathematical norms in learning mathematics. This study aims to create and verify the psychometric validity of the sociomathematical norm scale. This research used a survey method with 505 senior high school students from Jakarta and West Java as respondents. The results showed that 25 items had convergent validity, with a loading factor value of > 0.700, meaning they could be declared valid. Concurrent validity indicates that each sociomathematical norms indicator is valid as a whole. Discriminant validity shows that the average variance extracted value on the diagonal is higher than the other values, so each item is declared valid. It was concluded that each item of the sociomathematical norms instrument has accuracy in its measurement function. The reliability test shows that each sociomathematical norms item is declared reliable. The reliability value of the sociomathematical norm item is .99, and the person's reliability is .86. Thus, the instruments developed can measure sociomathematical norms in learning mathematics.</p>
Samsul Maarif and Nelly Fitriani
IKIP Siliwangi Bandung
The process of learning mathematics is determined by cognitive aspects and requires an affective domain. The affective domain is essential in developing mathematical abilities to solve mathematical problems. This study aims to analyze the effect of mathematical resilience (RM) and habits of mind (HOM) on socio-mathematical norms (SMN) in mathematics learning. The research method used is quantitative, with survey techniques and structured inquiry models. The sample in this study was 100 high school students in the DKI Jakarta area. Data analysis was performed using the structured equation model (SEM) using SmartPLS software. This research uses eight items of mathematics resilience instrument, ten items of habits of mind instrument, and 12 items of socio-mathematical norm instrument. Each instrument has four alternative answers with a Likert scale. The results of the study concluded: 1) there is a positive impact of mathematical resilience on socio-mathematical norms; 2) there is a positive impact of habits of mind on socio-mathematical norms; 3) there is a positive impact of mathematical resilience on habits of mind; 4) there is a positive impact of mathematical resilience on sociomathematical norms mediated by habits of mind.
Muhammad Irfan, Dewi Mega Mulyani, Benidiktus Tanujaya, Leonard Leonard, Samsul Maarif, and Sri Adi Widodo
Common Ground Research Networks
Samsul Maarif, Novia Oktarina, Sandi Sessu, Fitria Sulistyowati, and Wikan Budi Utami
Institute of Advanced Engineering and Science
<span lang="EN-US">This case study analyzed students' sociomathematical norms for the formation of study groups conducted by teachers, the role of sociomathematical norms on students' social interactions when learning mathematics, gender differences that can affect students' sociomathematical norms, and sociomathematical norms on derived material in terms of gender aspects among students. The nine subjects of this study were selected purposively. Data collection techniques were observation, interviews, and documentation. The study concluded that among the four indicators of sociomathematical norms, three indicators of male students are superior to female students. Male students are superior in accepting explanations from teachers, accepting differences of opinion, and mathematical insight. Meanwhile, female student excels in only one indicator (the effectiveness of mathematics).</span>
S. Maarif, K. Umam, J. Soebagyo and T. Pradipta
A study has proven the benefits of mathematics classes learning mathematics at university. However, there is still a lack of evidence regarding its benefits in mathematics teacher education programs. This study aims to test the flipped class in a mathematics teacher education program at a private university in Indonesia. The data source comes from thirty-one students of the mathematics education program in this study. Various data methods were used, including observation, journals, and tests. Then the data were analyzed quantitatively and qualitatively. The findings showed that a reverse classroom encourages students to learn independently, with students working together with peers and increasing learning awareness. However, some of the challenges presented in flipped classroom applications include technical issues, record editing skills, and longer time consumed. The recommendations offered to refer to the findings.
Sri Adi Widodo, Desi D. Sari, Samsul Maarif, Dafid S. Setiana, and Krisna S. Perbowo
Institute of Advanced Engineering and Science
<span>The purpose of this study was to improve the learning achievement of extroverted students on algebraic operations using the tutorial method. This type of research was a single subject with AB design, where A is the baseline condition, and B is an intervention condition. The research subjects were selected based on a purposive sampling technique with the help of the Keirsey Temperament Sorter (KTS) test in selecting extrovert subjects. Data collection techniques were using observation and test methods. Observation was used to collect data and record all behavior of extrovert subjects during the study. The tests in this study were the KTS and learning achievement tests. The KTS was used to determine subjects with an extroverted temperament while learning achievement tests are used to determine the ability of extrovert students to solve algebraic operation questions at the junior high school level. The results showed that the tutorial method had a positive effect on extrovert student learning achievement in algebraic operation material. This can be seen from the results of the analysis in conditions and between conditions which show that the intervention condition has a better tendency when compared to the baseline condition to the intervention. Besides that, the mean level obtained at the baseline is 50 and increases in the intervention condition with a mean level of 88.5.</span>
K S Perbowo, S Maarif, and A Pratiwi
IOP Publishing
The aim of this research was to determine mathematics teachers’ perception on ICT and manipulative materials as learning media, discover the difference between the usage of ICT and manipulative materials as learning media among participants responses based on their region and school level. A survey was designed within two domains, the usability of both ICT and manipulative materials and the importance of using both ICT and manipulative materials. The sample used was 84 mathematics teachers (29 Elementary, 41 Junior-High, and 14 Senior-High) for perception toward ICT and 81 mathematics teachers (33 Elementary, 36 Junior High, and 12 Senior High) for perception toward manipulative materials. They teach at various schools in marginal area of Indonesia. The findings revealed that in both media and domains, the participants’ perception logit means differ significantly. Findings unveiled significant differences between the usage of ICT and manipulative materials and so did the importance of ICT and manipulative materials. They have a better perception of the use of manipulatives than ICT.
S Maarif, K S Perbowo, M S Noto, and Y Harisman
IOP Publishing
Abstract This study aimed at identifying the obstacles of mathematics-teacher-students based on Boero’s proving model. This study was conducted using a mix method by applying sequential explanatory strategy. The stages of the research were carried out by taking the quantitative data and revealing the qualitative data using semi-structured interviews. In the result of this study, it was found that most of mathematics-teacher-students had difficulties in constructing geometrical proofs of each Boero’s proving model. Even in the phase of writing formal proof, there were only 6.67% of students could write fully in the cases of indirect proving. There were 13.33% of students in the cases of direct proving. This study concluded several obstacles which students faced in constructing the geometrical proofs formally in each phase of Boero’ proving model. The obstacles included: the difficulty in making a diagrammatic sketch of conjecture which was completely made with the correct geometrical notation; the difficulty in knowing of cause-effect of geometrical problems to be proved, if it involved some conditional sentences; inability to write a conjecture made in the form of geometrical symbols, formulas and axiomatic deduction; the difficulty in selecting a valid statement of the conjecture made and the difficulty in writing formal proof.
S Maarif, Wahyudin, A Raditya, and K S Perbowo
IOP Publishing
Geometry is one of the areas of mathematics interesting to discuss. Geometry also has a long history in mathematical developments. Therefore, it is important integrated historical development of geometry in the classroom to increase’ knowledge of how mathematicians earlier finding and constructing a geometric concept. Introduction geometrical concept can be started by introducing the Muslim mathematician who invented these concepts so that students can understand in detail how a concept of geometry can be found. However, the history of mathematics development, especially history of Islamic geometry today is less popular in the world of education in Indonesia. There are several concepts discovered by Muslim mathematicians that should be appreciated by the students in learning geometry. Great ideas of mathematicians Muslim can be used as study materials to supplement religious character values taught by Muslim mathematicians. Additionally, by integrating the history of geometry in teaching geometry are expected to improve motivation and geometrical understanding concept.
S Soro, S Maarif, Y Kurniawan, and A Raditya
IOP Publishing
The aim of this study is to find out the effect of Dienes AEM (Algebra Experience Materials) on the ability of understanding concept of algebra on the senior high school student in Indonesia. This research is an experimental research with subject of all high school students in Indonesia. The samples taken were high school students in three provinces namely DKI Jakarta Province, West Java Province and Banten Province. From each province was taken senior high school namely SMA N 9 Bekasi West Java, SMA N 94 Jakarta and SMA N 5 Tangerang, Banten. The number of samples in this study was 114 high school students of tenth grade as experimental class and 115 high school students of tenth grade as control class. Learning algebra concept is needed in learning mathematics, besides it is needed especially to educate students to be able to think logically, systematically, critically, analytically, creatively, and cooperation. Therefore in this research will be developed an effective algebra learning by using Dienes AEM. The result of this research is that there is a significant influence on the students’ concept comprehension ability taught by using Dienes AEM learning as an alternative to instill the concept of algebra compared to the students taught by conventional learning. Besides, the students’ learning motivation increases because students can construct the concept of algebra with props.
M S Noto, Y Harisman, L Harun, A Amam, and S Maarif
IOP Publishing
This article describes the case study on postgraduate students by using descriptive method. A problem is designed to facilitate the reasoning in the topic of Chi-Square test. The problem was given to two male students with different ages to investigate the gesture pattern and it will be related to their reasoning process. The indicators in reasoning problem can obtain the conclusion of analogy and generalization, and arrange the conjectures. This study refers to some questions—whether unique gesture is for every individual or to identify the pattern of the gesture used by the students with different ages. Reasoning problem was employed to collect the data. Two students were asked to collaborate to reason the problem. The discussion process recorded in using video tape to observe the gestures. The video recorded are explained clearly in this writing. Prosodic cues such as time, conversation text, gesture that appears, might help in understanding the gesture. The purpose of this study is to investigate whether different ages influences the maturity in collaboration observed from gesture perspective. The finding of this study shows that age is not a primary factor that influences the gesture in that reasoning process. In this case, adult gesture or gesture performed by order student does not show that he achieves, maintains, and focuses on the problem earlier on. Adult gesture also does not strengthen and expand the meaning if the student’s words or the language used in reasoning is not familiar for younger student. Adult gesture also does not affect cognitive uncertainty in mathematics reasoning. The future research is suggested to take more samples to find the consistency from that statement.
Samsul Maarif
ISTES Organization
The aim of this study was to identify the influence of discovery learning method towards the mathematical analogical ability of junior high school’s students. This is a research using factorial design 2x2 with ANOVA-Two ways. The population of this research included the entire students of SMPN 13 Jakarta (State Junior High School 13 of Jakarta) taken by using cluster random sampling with two samples for each class. In this research, there were two learning groups; one with discovery learning method and the other one with expository. Class VII.6 was used as the experiment group, while Class VII.8 was used as the control group. Each group consisted of 36 students who were divided into three ability scales, namely high, medium, and low. The research data were gained from test, questionnaire, observation, and interview. The result shows that: (1) the improvement of the students’ mathematical analogical ability using discovery learning method is considered better than the expository group; (2) There is significant improvement of the students’ mathematical analogical ability based on higher, medium, and lower groups.