scholarly journals Students’ Intuition in Solving Mathematics Problems: The Case of High Mathematics Ability and Gender Differences

2021 ◽  
Vol 13 (3) ◽  
pp. 2711-2724
Author(s):  
Nazariah Nazariah ◽  
Nailul Authary

Students are required to find their appropriate strategies to solve mathematics problems so that intuition is needed. Male and female students have different intuition on mathematical problem-solving. Thus, gender is influencing how to obtain mathematical knowledge. This descriptive qualitative study aimed to analize the intuition differences of male and female students who have high-level mathematical abilities at secondary school in solving mathematics problems. Data was collected through tests of mathematical problem-solving and interviews then analysed through data reduction, data presentation, and conclusion. This study found that: (1) There are differences in the characteristics of male and female intuition in mathematical problems solving, (2) The intuition of male and female in mathematical problems solving based on Polya's steps is different in re-checking the answers, (3) There are differences in intuition when students solve linear equation system problems. There are differences in intuition between male and female students with high matematical abilities in each material. Students with problem-solving abilities have affirmative intuition to understand problems, anticipatory intuition for problem-solving plans and solutions, and conclusive intuition to re-examine problems.

Author(s):  
Nuralam Nuralam ◽  
Muhammad Yani

The emphasis of mathematics learning, especially students' communication skills, needs to be considered from gender equality in solving mathematical problems. This study aims to describe: 1) the potential mathematical communication skills of students based on gender; 2) gender equality in communicating mathematical problem solving; and 3) the suitability of the form of the model or the applied form to develop students' mathematical communication skills based on gender at school. This research is a descriptive qualitative research conducted on all junior high school students in Langsa with a purposive sampling technique of 283 students. The data were collected through mathematical communication skills and questionnaire tests which were analyzed descriptively using the concept of Miles and Huberman. The results showed that: 1) mathematical communication skills of female students were better than male students in solving mathematical problems; 2) mathematical communication skills of male students are better in suburban schools and female students are better in downtown schools; and 3) learning implementation plans are still limited in emphasizing mathematical communication skills and learning tends to be cooperative and individual. It is recommended that learning plans refer to developing mathematical communication skills that pay attention to students' gender equality in order to optimize mathematical problem solving.


2018 ◽  
Vol 13 (1) ◽  
pp. 33-42
Author(s):  
Anggela Soraya ◽  
Wardani Rahayu ◽  
Lukita Ambarwati

Penelitian ini bertujuan untuk mendeskripsikan peningkatan kemampuan pemecahan masalah matematis menggunakan metode make a match dalam strategi pembelajaran inkuiri ditinjau dari perbedaan gender. Penelitian ini dilakukan di SMP Jakarta Islamic School dan SMPIT Thariq Bin Ziyad, DKI Jakarta. Di SMP Jakarta Islamic School diterapkan strategi pembelajaran inkuiri, sementara di SMPIT Thariq Bin Ziyad diterapkan strategi pembelajaran inkuiri yang dipadukan dengan metode pembelajaran make a match. Populasi penelitian melibatkan peserta didik kelas VII, dimana kelas tersebut terpisah antara peserta didik laki-laki dan perempuan. Data yang diperoleh yaitu berasal dari data pre test dan post test yang berisi soal-soal pemecahan masalah matematis. Analisis data dilakukan menggunakan analisis varians (ANAVA) dua jalur. Hasil penelitian menunjukkan bahwa: (1) tidak tedapat perbedaan peningkatan kemampuan pemecahan masalah matematis antara peserta didik laki-laki dan perempuan; (2) tidak terdapat perbedaan peningkatan kemampuan pemecahan masalah matematis antara peserta didik yang menggunakan strategi pembelajaran inkuiri dan yang menggunakan strategi pembelajaran inkuiri dipadukan dengan metode make a match, dan (3) terdapat pengeruh interaksi antara model pembelajaran dan gender terhadap kemampuan pemecahan masalah matematis peserta didik. Improvement of mathematical problem solving ability with make a match method in inquiry judging from gender differences AbstractThis study aims to describe the improvement the students’ ability in mathematical problem solving using make a match method in inquiry learning strategy in terms of gender differences. This study conducted in SMP Jakarta Islamic School and SMPIT Thariq Bin Ziyad, Jakarta, Indonesia. In SMP Jakarta Islamic School applied inquiry learning strategy, while in SMPIT Thariq Bin Ziyad applied inquiry strategy that combined with make a match learning method. The study population was students of class VII, where the class was separated between male and female students. The data obtained was derived from pre test and post test data containing problem solving mathematical problems. The data analysis using analysis of variance (ANOVA) test. The result showed that (1) there was no difference in the improvement of mathematical problem solving ability between male and female students (2) there was no difference in the ability to solve mathematical problems between students using inquiry strategies and using inquiry strategies that combined with make a match, and (3) There was an effect of interaction between lerning strategy and gender toward students’ ability in mathematical problem solving.


2020 ◽  
Vol 9 (1) ◽  
pp. 30
Author(s):  
Rohmatul Aulia Khairunnisa ◽  
Zia Nurul Hikmah ◽  
Ishaq Nuriadin

<p class="JRPMAbstractBody">This study aims to describe mathematical anxiety in solving students' mathematical problems. This type of research is qualitative research with a case study method. The subjects in this study consisted of 1 student who had a high level of anxiety. The technique of taking the subject is by using a purposive sampling technique. Data collection techniques using questionnaires, tests, and interviews. The instruments used were mathematical anxiety questionnaires, tests of mathematical problem-solving abilities, and interviews. The result shows that the subject has difficulty solving mathematical problems. It shows that the subject with high anxiety is not optimal in solving mathematical problem-solving problems. Thus, students with high anxiety need specific treatments or require the application of fun learning to optimize their mathematical problem-solving abilities</p>


2019 ◽  
Vol 4 (2) ◽  
pp. 169-176
Author(s):  
Muhammad Taqwa ◽  
Ahmad Budi Sutrisno

This research is qualitative research with the aim of (1) to find out the description of mathematical communication skills of male and female students in solving mathematical problem-solving questions, (2) to find out different information about mathematical communication descriptions in solving problem-solving problems in terms of gender. The subjects of this study were two class VII students of SMP Negeri 2 Labakkang, namely one male and one female student who had the highest problem-solving test scores. The procedure of data collection is done by observation, tests of problem-solving and interviews. The research instrument was used in the form of observation sheets, tests of problem solving, interview guidelines. Data analysis techniques are carried out by testing credibility, transferability, dependability, and conformability. The results showed that the mathematical communication skills of male gender subjects were lower than those of female gender subjects. The location of differences in mathematical communication skills between male and female gender is that the indicators write answers according to the purpose of the problem and make conclusions in writing using their own language.


2017 ◽  
Vol 4 (1) ◽  
pp. 35-52 ◽  
Author(s):  
Nazariah Nazariah ◽  
Marwan Marwan ◽  
Zainal Abidin

Mathematics learning activities would not be separated from the problem of mathematics. The  mathematical will be a problems if  in solving  problem  students does not immediately know the answer, but it takes time to think what steps should be taken to resolve the issue. In fact, many students are good at solving mathematical problems often use smart ways beyond of expectations and habits, thereby providing a short and accurate answer. in contrast to the students who have moderate or low mathematical ability, the way that used to solve the problem tend to give answers  lengthy and sometimes less accurate, although many low of  students math skills who have difficulties to find a way to solve mathematical problems. It showed that, there is a correlation between mathematical abilities of the students with intuition that students use in solving mathematical problems. On the other hand, the gender factor influencing the way to gain knowledge of mathematics. The influence of the gender factor in the process of conceptualization showed that gender may affect the use of intuition in understanding mathematical concepts. The aims of this study is to determine the differences between women's and men’s intuition on vocational students who have a high level of mathematical ability, medium and low in mathematical problem solving. This study used a qualitative approach with descriptive research  without the use of statistical analysis. the population is a whole class X SMK 1 Banda Aceh by taking six subjects consisted of 3  male and 3 female subjects at various levels, through learning achievement tests and consultation with subject teachers. Data collected by using a test instrument covering mathematical problem solving ability test and an interview. Based on this research, note that: 1) The differences characteristic between women and men on the subjects intuition  in solving mathematical problems by using  solving Polya; 2) the differences intuition subjects  between men and and women in solving mathematical problems by solving Polya; 3) There are differences intuition on various materials.


2021 ◽  
Vol 35 (70) ◽  
pp. 903-936
Author(s):  
Letícia Gabriela Martins ◽  
Maria Helena Martinho

Abstract In an age where we live surrounded by technology, it is increasingly important to develop capabilities that differentiate us from “machines”. The habit of solving problems can help us develop some of them, including the ability to solve problems, and stimulate critical thinking. It is, therefore, important to propose tasks of a diverse nature in the classroom, and to invest more in mathematical problem-solving by students. For students to solve those problems, it is essential that they know different strategies to use and it is necessary that the teacher can identify the difficulties experienced by students in solving mathematical problems, so the teacher can help students overcome them. This article aims to identify the strategies students use to solve a problem, acknowledge the difficulties students experience, and characterize students’ written communication in their answers. To achieve these objectives, the answers to a mathematical problem which was solved by students of three 12th grade classes were collected and analyzed. In the resolutions analyzed, the strategy students used the most was the construction of schemes/figures. Regarding the difficulties, they were felt more at the level of information selection, as the students tended to add data that were neither in the statement nor could be deduced from it. Finally, when communicating their answers in writing, over half of the students did it with a high level of clarity, and the most frequently used type of justification was the exclusive use of schemes. In addition, the type of representation most used by the students was iconic representation.


ZDM ◽  
2021 ◽  
Author(s):  
Gemma Carotenuto ◽  
Pietro Di Martino ◽  
Marta Lemmi

AbstractResearch on mathematical problem solving has a long tradition: retracing its fascinating story sheds light on its intricacies and, therefore, on its needs. When we analyze this impressive literature, a critical issue emerges clearly, namely, the presence of words and expressions having many and sometimes opposite meanings. Significant examples are the terms ‘realistic’ and ‘modeling’ associated with word problems in school. Understanding how these terms are used is important in research, because this issue relates to the design of several studies and to the interpretation of a large number of phenomena, such as the well-known phenomenon of students’ suspension of sense making when they solve mathematical problems. In order to deepen our understanding of this phenomenon, we describe a large empirical and qualitative study focused on the effects of variations in the presentation (text, picture, format) of word problems on students’ approaches to these problems. The results of our study show that the phenomenon of suspension of sense making is more precisely a phenomenon of activation of alternative kinds of sense making: the different kinds of active sense making appear to be strongly affected by the presentation of the word problem.


2017 ◽  
Vol 7 (2) ◽  
pp. 27-40
Author(s):  
Tatag Yuli Eko Siswono ◽  
Ahmad Wachidul Kohar ◽  
Ika Kurniasari ◽  
Sugi Hartono

This is a case study investigating a primary teacher’s beliefs, knowledge, and teaching practice in mathematical problem solving. Data was collected through interview of one primary teacher regarding his beliefs on the nature of mathematics, mathematics teaching, and mathematics learning as well as knowledge about content and pedagogy of problem solving. His teaching practice was also observed which focused on the way he helped his students solve several different mathematics problems in class based on Polya’s problemsolving process: understand the problem, devising a plan, carrying out the plan, and looking back. Findings of this study point out that while the teacher’s beliefs, which are closely related to his problem solving view, are consistent with his knowledge of problem solving, there is a gap between such beliefs and knowledge around his teaching practice. The gap appeared primarily around the directive teaching which corresponds to instrumental view he held in most of Polya’s process during his teaching practice, which is not consistent with beliefs and knowledge he professed during the interview. Some possible causes related to several associate factors such as immediate classroom situation and teaching practice experience are discussed to explain such inconsistency. The results of this study are encouraging, however, further studies still need to be conducted.


2019 ◽  
Vol 7 (1) ◽  
pp. 1539-1549
Author(s):  
Joy Frandero Yoni Astra Pasaribu ◽  
Louise M Saija

Introduction: Mathematical problem solving ability is very important in mathematic learning, because is can help students to solve daily life problems better. But the students mathematical problem solve ability is not high yet, one of the factor is because many students only know the standard procedures of solving mathematics problems, and when the given problem are different from the examples they tend to give up easily. This comparative design study aims to find out the improvement of students mathematical problem solving ability using Missouri Mathematics Project (MMP) learning model with individual assignments and small group assignments, and to find out whether there are differences between those two. Method: The sample in this study was VII grade students at SMP Advent Cimindi and SMP Advent II Bandung, Bandung. The instruments used in the study are mathematical problem solving test and questionnaire for response toward the Missouri Mathematics Project (MMP) learning model as the non-test instrument. Result: The results showed that the improvement of mathematical problem solving abilities of students who obtained the Missouri Mathematics Project (MMP) learning model with individual assignments and students who obtained the Missouri Mathematics Project (MMP) learning model by assigning small groups was categorized as high. Statistically, there is a significant difference in the students mathematical problem solving improvement after being taught using Missouri Mathematics Project (MMP) learning model, between students who get individual assignments and small group assignments. The response questionnaire result shows that students who acquire individual assignments like the Missouri Mathematics Project (MMP) learning model, more further the students who acquire group assignments really like the Missouri Mathematics Project (MMP) learning model.


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