scholarly journals EXPLORING MATHEMATICAL REPRESENTATIONS IN SOLVING ILL-STRUCTURED PROBLEMS: THE CASE OF QUADRATIC FUNCTION

2019 ◽  
Vol 10 (3) ◽  
pp. 365-378 ◽  
Author(s):  
Ika Santia ◽  
Purwanto Purwanto ◽  
Akbar Sutawidjadja ◽  
Sudirman Sudirman ◽  
Subanji Subanji
Keyword(s):  
Mathematics Education ◽  
Teaching And Learning ◽  
Quadratic Function ◽  
Analytical Framework ◽  
Quadratic Functions ◽  
Mathematical Representation ◽  
Education Students ◽  
Mathematical Representations ◽  
Mathematical Problems ◽  
Structured Problems

Mathematical representation has an essential role in solving mathematical problems. However, there are still many mathematics education students who have difficulty in representing ill-structured problems. Even though the ill-structured-problem-solving tasks designed to help mathematics education students understand the relevance and meaningfulness of what they learn, they also are connected with their prior knowledge. The focus of this research is exploring the used of mathematical representations in solving ill-structured problems involving quadratic functions. The topic of quadratic functions is considered necessary in mathematics teaching and learning in higher education. It's because many mathematics education students have difficulty in understanding these matters, and they also didn’t appreciate their advantage and application in daily life. The researchers' explored mathematical representation as used by two subjects from fifty-four mathematics education students at the University of Nusantara PGRI Kediri by using a qualitative approach. We were selected due to their completed all steps for solving the ill-structured problem, and there have different ways of solving these problems. Mathematical representation explored through an analytical framework of solving ill-structured issues such as representing problems, developing alternative solutions, creating solution justifications, monitoring, and evaluating. The data analysis used technique triangulation. The results show that verbal and symbolic representations used both subjects to calculate, detect, correct errors, and justify their answers. However, the visual representation used only by the first subject to detect and correct errors.

Pengembangan Media Pembelajaran Interaktif Berdasarkan Teori Apos pada Materi Fungsi Kuadrat

2018 ◽  
Vol 6 (1) ◽  
pp. 1-10
Author(s):  
Arie Gusman ◽  
Kamid Kamid ◽  
Syamsurizal Syamsurizal
Keyword(s):  
Learning Theory ◽  
Teaching And Learning ◽  
Quadratic Function ◽  
Test Group ◽  
Quadratic Functions ◽  
High School Mathematics ◽  
Constructivist Learning Theory ◽  
Average Value ◽  
Long Time ◽  
Action Process

Learning quadratic functions that had been performed by the majority of vocational school and high school mathematics teacher in Kuala Tungkal is still using conventional learning media. The use of conventional learning media is experiencing a lot of obstacles, such as: a fairly long time in describing the graph function, especially when analyzing some quadratic function graphs with various characteristics. APOS is one of the constructivist learning theory which states that students learn through several stages, namely: action – process – object – schema. And to integrate into media APOS writer adapting ADDIE development model. The effectiveness of the use of media-based learning theory APOS seen from the student activity sheet can be concluded more increased activity of students in the learning process. Study of the test results, students were able to meet the completeness criteria stipulated minimum is 75. With an average value of learning outcomes, namely 87.14. It can be seen from the students' responses on a test group of small and large groups where it is concluded that researchers develop learning media can be categorized as good / interesting in the teaching and learning of mathematics.

scholarly journals E-Learning of Mathematics- A New Trend of Learning in 21st Century During Covid-19 Pandemic

2021 ◽  
Vol 9 (12) ◽  
pp. 736-739
Author(s):  
Reenu Kumari
Keyword(s):  
Mathematics Education ◽  
Problem Solving ◽  
Teaching And Learning ◽  
Qualitative Methodology ◽  
Mathematics Learning ◽  
Mathematical Activity ◽  
Online Mode ◽  
Mathematical Problems ◽  
Private And Public ◽  
E Learning

Abstract: The goal of this study is to highlight current breakthroughs in digital technology research in the subject of mathematics education. The Covid-19 outbreak in 2020 turned both private and public life on its head. Higher education institutions all across the world were forced to switch their teaching and learning online on very short notice. As a result, many types of software like Google Meet, MS teams, Zoom and WebEx, etc. have been developed to help teachers and students communicate more effectively. Problem-solving is a characteristic of mathematical activity and an essential component of the development of mathematical and analytical skills. The capacity to answer a broad variety of complicated mathematical problems is a major goal of mathematics education and learning. However, the process of problem-solving in online mode has not received the attention it deserves, because many professors are uncomfortable with it. As a result, problemsolving as a method and skill is not taught as an intrinsic component of the mathematics learning process by instructors. Qualitative methodology is a technique used for this study. The purpose of this study is to reveal the roles and significance of mathematics teaching and learning via the use of technology applications (E-learning). Keywords: Mathematics, COVID-19, E-learning, Education

scholarly journals Conceptual Understanding and Mathematical Representation Analysis of Realistic Mathematics Education Based on Personality Types

2019 ◽  
Vol 10 (2) ◽  
pp. 201-210
Author(s):  
Kowiyah Kowiyah ◽  
Ima Mulyawati ◽  
Khoerul Umam
Keyword(s):  
Mathematics Education ◽  
Conceptual Understanding ◽  
Personality Type ◽  
Personality Types ◽  
Mathematical Representation ◽  
Realistic Mathematics Education ◽  
Mathematical Abilities ◽  
Realistic Mathematics ◽  
Written Form ◽  
Mathematical Problems

Conceptual understanding and representation in mathematics are both important mathematical abilities to develop. Conceptual understanding and representation abilities are needed by students to solve mathematical problems. The aim of this research was to describe the representation of mathematics of RME based on student's personality type, the conceptual understanding in RME based on student's personality type. In this research, 8 PGSD students from artisan, idealist, guardian, and rational personality types were selected as subjects. The methods used in this research were tests, interviews, and documentation of personality type questionnaires of the students according to (Keirsey, 1984)). The tests and interviews were analyzed to describe the conceptual understanding and representation abilities of the students. The results of this research were that the students with the rational personality type were very good at identifying and making examples, traits and conditions. Students with the idealist personality type were very good at identifying verbally and in written form. All four personality types’ conceptual understanding when identifying and distinguishing concepts was still poor. Meanwhile, for the mathematical representation aspect, all four personality types were very good at visual mathematical representation in the form of figures and tables. 

scholarly journals PROFIL REPRESENTASI MATEMATIS SISWA DALAM MENYELESAIKAN MASALAH MATEMATIKA DENGAN MEDIA SCREENCAST O MATIC

2019 ◽  
Vol 2 (2) ◽  
pp. 83-87
Author(s):  
Sri Devi Wulandari
Keyword(s):  
Qualitative Research ◽  
Three Dimensional ◽  
Three Dimensions ◽  
Mathematical Representation ◽  
Research Approach ◽  
Early Mathematics ◽  
Mathematical Representations ◽  
Mathematical Problems ◽  
Existing Data ◽  
Descriptive Qualitative

The purpose of this study is to describe the profile of mathematical representation of students who are capable of early mathematics while resolving mathematical problems in three-dimensional material with O Matic screencast media. The research approach that will be used by researchers is qualitative. The type of research that used in this study is descriptive qualitative research, namely by analyzing existing data to obtain information about the profiles of mathematical representations to solve problems in the material of the Three dimensions with the O Matic screencast media. The research phase is the introduction, planning, research, and completion stage. This study uses test questions, interviews, and observation sheets. The results of this study subject able to meet the three indicators of mathematical representation ability that have been determined, but the final results of the answers are still less precise because they misunderstand the problem of the problem.   Tujuan penelitian ini adalah untuk mendeskripsikan profil representasi matematis siswa yang berkemampuan awal matematika sedang dalam menyelesaikan masalah matematika pada materi dimensi tiga dengan media screencast o matic.Pendekatan penelitian yang digunakan oleh peneliti adalah pendekatan penelitian kualitatif. Jenis penelitian yang digunakan dalam penelitian ini adalah penelitian kualitatif deskriptif, yaitu dengan cara menganalisis data yang ada untuk memperoleh informasi mengenai profil representasi matematis siwa untuk memecahkan soal pada materi dimensi Tiga dengan media screencast o matic. Tahap penelitian yaitu pendahuluan, perencanaan, pelaksanaan penelitian dan tahap penyelesaian. Penelitian ini menggunakan instrumen soal tes, wawancara dan lembar observasi. Hasil penelitian ini adalah subjek mampu memenuhi ketiga indikator kemampuan representasi matematis yang telah ditentukan, namun hasil akhir jawabannya masih kurang tepat karena salah memahami  permasalahan soal.

scholarly journals EXPLORING GIFTED AND TALENTED MUSLIMS STUDENT’S PERFORMANCE USING GEOGEBRA IN TEACHING AND LEARNING MATHEMATICS

2021 ◽  
Vol 22 (1) ◽  
pp. 308-315
Author(s):  
NORAZLINA SUBANI ◽  
MUHAMMAD ZAIM MOHAMAD SHUKRI ◽  
MUHAMAD ARIF SHAFIE MOHD NASRUL
Keyword(s):  
Mathematics Achievement ◽  
Gifted And Talented ◽  
Teaching And Learning ◽  
Quadratic Function ◽  
Quadratic Functions ◽  
Minimum Point ◽  
Maximum Point ◽  
Graph Pattern ◽  
The Impact ◽  
Graph Function

GeoGebra is a teaching tool that educators use in their lesson plans to improve the quality of teaching and learning. Instead of drawing on a sheet of paper, students can design a graph, adjust the actual graph shape, and examine the impact of changing graph pattern using GeoGebra in mathematics teaching and learning. Furthermore, students can keep all of their work materials in a structured manner for future reference. GeoGebra will make a school lecture more interesting, exciting, creative, and innovative. The goal of this study was to analyse the effects of GeoGebra software in Mathematics achievement in respect to quadratic functions among gifted and talented Muslims student’s at Kolej GENIUS Insan, Universiti Sains Islam Malaysia. The maximum or minimum point of quadratic function was determined by using GeoGebra software, and the characteristics of quadratic expressions in one variables was also identified. The results illustrate that the graph quadratic expression has the highest point or the lowest point based the values of coefficient a on the quadratic function. For the graph function with negative values of coefficient a on a quadratic function, there are highest values of coordinates x and y, which also known as maximum point, while the graph function with positive values of a on a quadratic function, there are lowest values of coordinates x and y, which also known as minimum point. When students utilize GeoGebra software, their performance in calculating the minimum and maximum points on quadratic functions improves. Keywords: Geogebra; Integrated naqli ‘aqli gifted education; Gifted muslims student; Mathematics achievement; Quadratic functions

Using Valsiner Theory To Enhance Mathematical Representation Ability

2017 ◽  
Vol 6 (3) ◽  
Author(s):  
Sri Tirto Madawistama Page (167-171)
Keyword(s):  
College Students ◽  
Mathematics Education ◽  
Prospective Teachers ◽  
Mathematical Representation ◽  
Learning Models ◽  
Mathematical Representations ◽  
Ability Tests ◽  
Quasi Experimental ◽  
The Subject ◽  
Better Than

The purpose of this research was to determine the upgrade mathematical representations of college students using learning based theory Valsiner better than the ability of mathematical representations of students who use conventional learning models and know the rest of the indicator to which students have difficulty in solving problems ability mathematical representations after being given learning based Theory Valsiner. The method used is a quasi-experimental. The population in this study are prospective teachers of mathematics education in universities Siliwangi Tasikmalaya. While the subject of the sample were college students who follow courses in semester V probability theory which consists of an experimental class and the control class in Mathematics Education. Samples were taken at random based on class, grade VB as experimental class amount 34 students, and the class as a class VD control with the amount of 34 students. The technique of collecting data using mathematical representations ability tests. The research instrument set of test questions. Data were analyzed using two different test average. From processing data analysis and hypothesis testing using real level test a = 1% result increased ability mathematical representations of students by using learning based on theory Valsiner better than the ability of mathematical representations of students who use conventional learning models, and the greatest difficulties experienced by students in solving ability representation mathematics is the visual representation indicator with a percentage of 39.71%

scholarly journals PROFIL KEMAMPUAN PENALARAN INDUKTIF MATEMATIKA MAHASISWA PENDIDIKAN MATEMATIKA UNIPA DITINJAU DARI GAYA BELAJAR

2018 ◽  
Vol 1 (2) ◽  
pp. 127
Author(s):  
Agus Haryono ◽  
Benidiktus Tanujaya
Keyword(s):  
Mathematics Education ◽  
Learning Styles ◽  
Learning Style ◽  
Mathematical Reasoning ◽  
Visual Learning ◽  
Inductive Reasoning ◽  
Education Students ◽  
Reasoning Abilities ◽  
Kinesthetic Learning ◽  
Mathematical Problems

<p>The purpose of this research was to study the profile of students' mathematical inductive reasoning abilities regarding visual, auditory and kinesthetic learning styles in solving mathematical problems. The research method used is qualitative with a descriptive approach. The results of the study showed that UNIPA mathematics education students tended to study with Visual Learning Styles. Students with this learning style tend to have inductive mathematical reasoning abilities that are better than inductive mathematical reasoning abilities of students learning with auditorial learning styles and those who learn with the kinesthetic learning style. Also, Mathematics Education students of the University of Papua do not have the ability to examine the validity of an argument and find patterns or characteristics of mathematical symptoms to generalize.</p>

Visual Thinking Ability of Mathematics Education Students on Geometry Transformation Learning Material

2021 ◽  
Vol 7 (2) ◽  
pp. 84
Author(s):  
Konstansia Hermiati ◽  
Siti Suprihatiningsih ◽  
Pradipta Annurwanda
Keyword(s):  
Mathematics Education ◽  
Thinking Skills ◽  
Student Response ◽  
Geometric Transformation ◽  
Learning Material ◽  
Visual Thinking ◽  
Education Students ◽  
Thinking Ability ◽  
Transformation Learning ◽  
Mathematical Problems

Solving a problem in geometric transformation that is prioritized is the ability to think visually, this is because visualization is the heart of mathematics to solve a problem, besides that visualization can also make it easier to understand abstract mathematics, and can be used as a strategy for solving mathematical problems to be very simple. This study aims to describe the visual thinking ability of mathematics education students on the material of geometric transformation. The type of research used in this research is descriptive qualitative research. The subjects in this study were 5 students. Written tests related to geometric transformation questions, such as questions, reflections, translations, and dilations were used as data sources in this research. By describing each instrument that has been done by students in accordance with the indicators of visual thinking ability, data analysis techniques are used. The results of this study indicate that students' thinking skills only reach the stage of sorting, searching, and finding. It means only to the acquisition and reasoning. This can be seen from the responses of several students, namely students (1) four stages and three principles of visual thinking ability are achieved. Students can sort out the questions given and look for information to get answers, and can describe and visualize the answers that have been obtained. Student response (2) only did not reach the step of describing and the principle of individuation. This means that students cannot explain and describe answers in the form of pictures or graphs correctly. Student responses (3) only reached the stage of sorting and obtaining or in other words only understanding what was asked. Students in response (4) only did not reach the step of describing and the principle of visualizing/illustrating. So that it can be used as a reference related to visual research, especially on geometry material.

scholarly journals ANALYTICAL THINKING PROCESS OF STUDENTS IN SOLVING MATHEMATICAL PROBLEMS OF QUADRATIC FUNCTIONS

2021 ◽  
Vol 10 (1) ◽  
pp. 328
Author(s):  
Naela Nur Azizah ◽  
Susiswo Susiswo ◽  
Sisworo Sisworo
Keyword(s):  
Data Analysis ◽  
Problem Solving ◽  
Quadratic Function ◽  
Mathematical Ability ◽  
Quadratic Functions ◽  
Mathematics Ability ◽  
Analytical Thinking ◽  
Tenth Grade ◽  
Mathematical Problems ◽  
Thinking Process

Analytical thinking is an ability to observe objects thoroughly and solve facts comprehensively. This study is set to describe students' analytical thinking processes in solving mathematical problems, especially in quadratic functions. It employs a qualitative approach with qualitative descriptive research. The subjects in this study are one student with high mathematics ability, one student with medium mathematics ability, and one student with low mathematics ability of Tenth Grade of State Islamic Senior High School 3 Tulungagung. Data collection are carried out through task-based interviews. Meanwhile, data analysis technique are data reduction, data presentation, and conclusion Based on the results of data analysis and discussion, it is concluded that (1) The student with high mathematical ability pass several stages, namely differentiating, and organizing, he/he can solve the quadratic function problem properly according to the problem solving steps. (2) The student with medium mathematical ability can go through differentiating and organizing stages. But at the attributing stage, he/she are less able to solve problems based on the objectives.  (3) The student with low mathematical ability tends not to pass differentiating, organizing, and attributing analytical thinking stages. He/she are less able to solve quadratic function problems according to the solving steps.Keywords: Analytical thinking process; problem solving; quadratic functions

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