Kemampuan penalaran matematis mahasiswa berdasarkan variasi gender dan self-efficacy matematis

The purpose of this study was to determine the differences in mathematical reasoning ability (KPM) based on gender variation (VG) and mathematical self-efficacy (SEM). Quantitative research was chosen to answer the research question. The research design used comparative causality on 75 students at a State University in Mataram City. Data collection was based on gender variance in the selected sample (51 women and 24 men, KPM test scores consisting of 5 items, and a 20-point SEM questionnaire, which were further categorized into 3 levels (low, medium and high). Analysis The data used two-way ANOVA with a 3 x 2 factorial design. The post-anava follow-up test used the turkey test. The results showed that male KPM was better than female KPM. Based on SEM category, student KPM at high SEM was better than student KPM at low SEM This finding emphasizes the importance of instructors being able to observe the characteristics of self-efficacy and gender variations that have an impact on the mathematics learning process.

Creative Mathematical Reasoning: Does Need for Cognition Matter?

A large portion of mathematics education centers heavily around imitative reasoning and rote learning, raising concerns about students’ lack of deeper and conceptual understanding of mathematics. To address these concerns, there has been a growing focus on students learning and teachers teaching methods that aim to enhance conceptual understanding and problem-solving skills. One suggestion is allowing students to construct their own solution methods using creative mathematical reasoning (CMR), a method that in previous studies has been contrasted against algorithmic reasoning (AR) with positive effects on test tasks. Although previous studies have evaluated the effects of CMR, they have ignored if and to what extent intrinsic cognitive motivation play a role. This study investigated the effects of intrinsic cognitive motivation to engage in cognitive strenuous mathematical tasks, operationalized through Need for Cognition (NFC), and working memory capacity (WMC). Two independent groups, consisting of upper secondary students (N = 137, mean age 17.13, SD = 0.62, 63 boys and 74 girls), practiced non-routine mathematical problem solving with CMR and AR tasks and were tested 1 week later. An initial t-test confirmed that the CMR group outperformed the AR group. Structural equation modeling revealed that NFC was a significant predictor of math performance for the CMR group but not for the AR group. The results also showed that WMC was a strong predictor of math performance independent of group. These results are discussed in terms of allowing for time and opportunities for struggle with constructing own solution methods using CMR, thereby enhancing students conceptual understanding.

Students’ mathematical reasoning ability in solving PISA-like mathematics problem COVID-19 context

This study aims to use the Pendidikan Matematika Realistik Indonesia (PMRI) approach to measure the mathematical reasoning ability of grade VII students in answering PISA-like mathematics problems on number content in the context of COVID-19. This study employs descriptive research with 34 participants from a junior high school in Palembang, Indonesia. Tests, interviews, and observations were utilized to collect data. The method of analysis adopted is descriptive. Google Meet is used to facilitate learning. Learning the PMRI technique was accomplished in this study by assigning sharing and jumping tasks. That is, assignments for students to discuss with each other have different levels of difficulty, followed by two exam questions. In the context of COVID-19, the test questions are PISA-like maths problems. The results show that students’ average mathematical reasoning skill is 63,037, with mathematical manipulation a common indicator. Most students have exhibited indications for presenting conjectures. However, only a few students have put down indicators for drawing logical conclusions, so drawing logical conclusions is an indicator that students rarely see. Overall, grade VII students' mathematical reasoning skills in answering PISA-like mathematics questions on number material in the context of COVID-19 utilizing the PMRI approach is good since students are used to modeling contextual problems such that mathematical manipulation indicators occur.

Students’ mathematical reasoning skills on number pattern using PMRI and collaborative learning approach

Students need to have good mathematical reasoning skills when learning number pattern material. The use of video media through the PMRI approach and collaborative learning can be applied in learning activities to have good mathematical reasoning skills. This study aims to determine mathematical reasoning skills after implementing the learning process using video media with the PMRI approach and collaborative learning on number pattern material for class VIII students. This research uses a descriptive type of research. The research subjects were students of class VIII.A, SMP Srijaya Negara Palembang, with 25 students (12 males and 13 females) out of a total of 39 students. Data collection techniques are observation, a written test consisting of two test questions, and interviews. The data analysis technique is descriptive. The results obtained from this study are the students' mathematical reasoning skills after the learning process using video media with the PMRI approach and collaborative learning on the number pattern material of grade VIII.A students of SMP Srijaya Negara Palembang are good, with an average value of 68.89. The indicator that appears the most is "submit a conjecture," while the indicator that appears the least is "draw a conclusion." Using video media through the PMRI approach and collaborative learning during learning can make students have good mathematical reasoning skills.

Let’s do the Math… About Creativity and Mathematical Reasoning: A Correlational Study in Primary School Children

Mathematics, being a very ancient discipline, is usually seen as a formal subject that must be learned for school purposes, which is very far from creativity and fun. Also, mathematical skills are often considered a talent, so students are easily divided into gifted and not gifted, with a focus on speed and accuracy rather than encouraging the process of juggling between divergent and convergent thinking. In the present paper, we aimed at investigating the relationship between mathematical reasoning and different aspects of creative thinking, such as divergent and convergent creativity, aesthetic appreciation, and humor. To do so, 146 second and third graders in a primary school in Milan have been recruited and tested with mathematical and creative tasks. Correlational analyses showed significant positive relations between flexibility and originality dimensions of creativity and mathematical performance. Results are discussed by providing a theoretical framework about the relation between mathematics and creative skills.

Communication and Mathematic reasoning: Theory of planned behavior and inquiry

The purpose of this study is to investigate the aspects of communication and mathematical reasoning. In investigating the aspects of mathematical communication with an inquiry approach, of course there are several things observed related to learning mathematics. The focus of the material aims at observing communication and mathematical reasoning within the framework of inquiry, and the theory of planned behavior (TPB) is geometry and algebra. The research method used a qualitative research by looking at case studies with research subjects consisting of 31 prospective mathematics teachers in Semarang city. From the aspect of communication and mathematical reasoning that exists, it can be seen from the answers of 31 prospective mathematics teachers with an authentic point of view of inquiry and a theory of planned behavior for problem solving. From the observation, several cognitive processes are adapted to the authentic framework of inquiry and the theory of planned behavior for algebra and geometry material. In reasoning, a wedge appears between mathematical reasoning and communication adapted to the framework of inquiry and the theory of planned behavior. The contribution of this study is to determine the communication framework and mathematical reasoning from the theoretical aspects of planned behavior and inquiry. It is important to know aspects of communication and mathematical reasoning from a different perspective.

Analisis kendala pemahaman bahasa untuk mengembangkan kemampuan bernalar matematika siswa

Understanding of language is closely related to mathematical reasoning, because language has function as a means of communication to convey ideas or ideas to others. Submission of mathematical ideas delivered by students will show how far the level of student understading of the mathematical concepts they have. This research is a qualitative research with a descriptive approach which aims to describe the obstacles faced by students when using language on mathematical reasoning. Data obtained from observations, interviews, questionnaires, and documentations. Based on the results of the analysis conducted, it can be seen that constraints faced by students when using language on mathematical reasoning are feelings of shame and inferiority, difficulty understanding the sentence, and lack of vocabulary students have.

Magnitude, number and school mathematics

Definitions of concepts of magnitude and number used in academic mathematics are not suitable for school mathematics for reasons of their cognitive complexity. We discuss possible ways to treat magnitudes and numbers in school mathematics based on mathematical reasoning.

Let’s do the Math… About Creativity and Mathematical Reasoning: A Correlational Study in Primary School Children

Mathematics, being a very ancient discipline, is usually seen as a formal subject that must be learned for school purposes, which is very far from creativity and fun. Also, mathematical skills are often considered a talent, so students are easily divided into gifted and not gifted, with a focus on speed and accuracy rather than encouraging the process of juggling between divergent and convergent thinking. In the present paper, we aimed at investigating the relationship between mathematical reasoning and different aspects of creative thinking, such as divergent and convergent creativity, aesthetic appreciation, and humor. To do so, 146 second and third graders in a primary school in Milan have been recruited and tested with mathematical and creative tasks. Correlational analyses showed significant positive relations between flexibility and originality dimensions of creativity and mathematical performance. Results are discussed by providing a theoretical framework about the relation between mathematics and creative skills.