Mathematical Conjecturing Ability in Junior High School Students on the Material of Angles, Lines, and Two Dimensional Figure (original) (raw)

The Differences in Students’ Cognitive Processes in Constructing Mathematical Conjecture

JPI (Jurnal Pendidikan Indonesia), 2020

Constructing mathematical conjectures involves individuals’ unique and complex cognitive processes in which have not yet fully understood. The cognitive processes refer to any of the mental functions assumed to be involved in the acquisition, storage, interpretation, manipulation, transformation, and the use of knowledge. Understanding of these cognitive processes may assist individuals in constructing mathematical conjectures. This study aimed to describe the differences in students’ cognitive processes in constructing mathematical conjecture which is based on their mathematical ability and gender through a qualitative exploratory research study. The research subjects consisted of six mathematics students of Universitas Pendidikan Ganesha, the representative of high, medium, and low mathematical ability and either genders, male and female, respectively. The data of cognitive processes were collected by task-based interviews and were analyzed qualitatively. The differences in studen...

THE PROCESS OF STUDENT COGNITION IN CONSTRUCTING MATHEMATICAL CONJECTURE

This research aims to describe the process of student cognition in constructing mathematical conjecture. Many researchers have studied this process but without giving a detailed explanation of how students understand the information to construct a mathematical conjecture. The researchers focus their analysis on how to construct and prove the conjecture. This article discusses the process of student cognition in constructing mathematical conjecture from the very beginning of the process. The process is studied through qualitative research involving six students from the Mathematics Education Department in the Ganesha University of Education. The process of student cognition in constructing mathematical conjecture is grouped into five different stages. The stages consist of understanding the problem, exploring the problem, formulating conjecture, justifying conjecture, and proving conjecture. In addition, details of the process of the students' cognition in each stage are also discussed.

Analysis of Students’ Mathematical Investigation Based on the Variation of Mathematical Abilities

2020

The present work is a descriptive study aims to describe the students' mathematical investigation based on their mathematical abilities. In general, there are four cognitive steps in mathematical investigation, i.e. Specializing, Conjecturing, Justifying and Generalizing. The data were gathered from students' written work in solving mathematical problems and interview. The participants were 32 first year students of mathematics education study program in a university in Mataram, Indonesia. The participants were classified into three mathematical ability categories namely high, moderate and low. The data were analyzed using mixed method. The results confirmed that the subject with high and moderate mathematical abilities were able to perform four steps mathematical investigation, while those of low category cannot make the Generalizing stage. Furthermore, compare to moderate students, students with high mathematical abilities have more constructive way of thinking. The results indicate that the prospective teachers' mathematical investigation skills need to be improved through the series of lesson embedded in various courses in mathematics education study program.

Mathematical Problem Solving Ability Viewed from Students' Mathematical Disposition

Formatif: Jurnal Ilmiah Pendidikan MIPA

Mathematics is an instrument for solving problems in life. So, ability to solve mathematical problems is one of the most important skills. Practitioners of education do different approaches to develop the mathematical problemsolving ability of students. Efforts have been made such as an attractive learning model and providing external motivation. Most students, however, were unable to finish and prepare to solve mathematical problems in daily life. This is due to the belief that mathematics is not linked with life, anxiety in solving non-routine problems, and feelings of complacency that contribute to low motivation for students. The aim of this research is to gain an overview of the mathematical problemsolving skills of students in terms of students' mathematical dispositions. This research method is qualitative with a case study approach and this research was carried out on 35 grade XI students from a high school in the district of Indragiri Hulu. This research showed that stu...

Analyzing the Teaching and Learning of Mathematical Reasoning Skills in Secondary School

Asian Social Science

The paper reports part of a study aimed at developing teaching materials in inculcating upper secondary students’ mathematical reasoning skills (MRS). To develop the materials, the researcher implemented the Four-D Model. The study took subjects from five public schools in Province of North Sumatera, Indonesia. The researcher designed and developed students’ work sheet (SWS) and instrument to measure MRS. Along the teaching ran, which applied problem-based learning model, the researcher observed teachers’ and students’ activities while nurturing and applying MRS in the frame of solving mathematical problems. Of the four indicators laid to measure the MRS, students lack most in use of pattern relationship to analyse situation, to make analogy, or to generalize. The ways support student’s progress in achieving MRS are if (i) the problem faced is much mimicked the task solved in the classroom, (ii) more various problems given to solve under guidance, and (iii) intensive scaffolding is ...

An Analysis of Student’s Mathematical Creative Thinking Ability Senior High School on Geometry

International Journal of Advance Research and Innovative Ideas in Education, 2017

This study aimed to describe the ability of mathematical creative thinking students in solving the problem of geometry comprehensively. Research subjects of senior high school students 5 Padangsidimpuan as many as 6 people consisting of each 2 students low, medium and high category. Creative thinking problems as a top priority to achieve the research objectives. it is important in learning mathematics education. Identify the problem of mathematical creative ability in solving a mathematical problem. What is the ability to think creatively in the mathematical learners in solving geometry problems? It is expected to result in study solutions to maximize the creative thinking ability of learners in learning. There is an absolute requirement that learners must fulfill in each category of ability to understand the material, and readiness to try and error in writing alternative solutions. The results show the students in three categories in the indicator of creative thinking ability. Stud...

The Mathematical Connections Process of Junior High School Students with High and Low Logical Mathematical Intelligence in Solving Geometry Problems

— This study aimed to describe the mathematical connections process of students in solving geometry problems. The mathematical connections process was the students' steps in doing mathematical connections. The observed aspects were the internal connections (the interrelationships between mathematical concepts) and external connections (the mathematical interrelationships and outside of mathematics or daily life). The samples of this reasearch were the student with high and low mathematical logical intelligence. The results of the research showed that the students with high logical mathematical intelligence did the internal and external connections in solving geometry problems completely based on polya problem solving steps. Meanwhile, the students with low logical mathematical intelligence did the internal and external connections until the step of understanding the problems.

The Profile Of Elementary School Students’ Ability In Mathematical Reasoning

International Journal of Scientific & Technology Research, 2020

The insuffiency of information regarding the achievements associated with the students’ mathematical abilities and the different implementations of educational curriculums in elementary schools becomes the reason to pursue this research. The article is aimed at describing mathematical abilities of fourth-grade elementary school students in accord with the national curriculums applied in Indonesia, which are the School based and the 2013 Curriculum. The data were collected from 200 fourth-grade elementary school students in Tegal City, Central Java Province. Specifically, the elementary schools involved in this research use either the School-based Curriculum or the 2013 Curriculum. As the research instrument, a test was developed based on the TIMSS assessment design and adjusted in Indonesian context, consisting of twelve items. The descriptions of the data were presented quantitatively. Based on the results, it is found that mathematical reasoning abilities of fourth-grade elementar...

Conjecture in Completing Creative Problem-Solving Question as a Part of Development

Proceedings of the 4th Sriwijaya University Learning and Education International Conference (SULE-IC 2020), 2020

This research is a descriptive study that aims to describe the mathematical abstraction type conjecture in triangle and square. The subjects in this research were 3 Grade VIII students of Junior High School. This study was a design research which consisted of preliminary design, focus group discussion, trial, interview, and retrospective analysis. The data collection techniques used were test with problem solving type and interviews. Test data and interview data were analyzed by using qualitative descriptive methods, by telling everything that was obtained both from student answers and from interviews. From the results of data analysis, it was concluded that all students understood the problem. However, understanding the problem does not guarantee that students can put forward and propose conjectures. Even though the conjecture has the possibility of being true and of being false, good conjecture must be supported by the underlying theories and concepts. Students who do not have basic concepts are often unable to make conjectures and prove these conjectures, thus it can be concluded that students' ability to make conjectures is influenced by their previous knowledge. The stages in making conjecture consists of understanding the problem, exploring the problem, formulating conjecture, justifying conjecture, and proving conjecture.

The Process of Discovering Student’s Conjecture in Algebra Problem Solving

2018

This exploratory descriptive research aims to describe the process of discovering student’s conjecture in mathematics problem solving. There were 2 students in grade VII of Junior High School who participated as the research subject. The instruments used in this research were problem solving test and interview. This research consisted of three stages which were: 1) data collection; data taken process where the researcher asked every student to solve the problem given; 2) analysis on students’ work and interview; in this step the researcher analyzed the results of the students’ work and carried out interview with the students for further examination of conjecture discovering process when solving the problem; and 3) examining and concluding students’ work result and interview result. The result of this study shows that the stages in discovering conjecture were done sequentially although not all steps were done.