scholarly journals Model of Flexibility in the Conceptual Evolution of Multiplicative Comparison

2021 ◽  
Vol 23 (6) ◽  
pp. 147-178
Author(s):  
Graça Maria Cebola ◽  
Joana Brocardo
Keyword(s):  
Design Research ◽  
Number Line ◽  
Mathematical Literacy ◽  
Video Recordings ◽  
Data Collection And Analysis ◽  
Comparison Results ◽  
Double Number ◽  
Multiplicative Relationship ◽  
Conceptual Evolution ◽  
Resolution Strategies

Background: Proportionality is a paramount topic in students' mathematical literacy. In this topic, it is fundamental to understand the multiplicative comparison and the flexible use of the concepts of ratio and proportion. Objectives: To analyse the articulation between concepts, resolution strategies, and representations used by students, supported by numerical relationships and properties of operations to characterise a model of the conceptual evolution of multiplicative comparison. Design: Research based design. Setting and participants: Two mathematics teachers teaching 6th grade (11-12-year-old students) and their 38 (18 + 20) students during the lessons in which five assignments were explored. Data collection and analysis: The data includes the transcription of the video recordings of the classes and the students' written productions. The data were successively revisited and condensed to identify and illustrate the aspects that make up the model of the conceptual evolution of multiplicative comparison. Results: The construction of the concept of multiplicative comparison prevails in the work in two spaces of measurement and in the exploration of the multiplicative relationship between the corresponding quantities within each one. Resolution strategies are first non-quantitative and become quantitative, initially with additive and then multiplicative characteristics. The representations are based on the ratio as a fraction, on the double number line, and on the table of ratios, being supported by numerical relationships and properties of operations. Conclusions: The results elucidate, adjust, and illustrate a theoretical model related to the evolution of the multiplicative comparison in two spaces of measurement.

scholarly journals PENGEMBANGAN BAHAN AJAR ENGLISH-TEXTUAL-GENRE BERBASIS ANDROID DALAM IMPLEMENTASI PPK KURIKULUM 2013 EDISI REVISI

2020 ◽  
Vol 7 (1) ◽  
Author(s):  
Didit Kurniadi ◽  
Mohamad Fajarianditya Nugroho
Keyword(s):  
Student Achievement ◽  
Educational Technology ◽  
Significant Relationship ◽  
Research Method ◽  
Design Research ◽  
Teaching Materials ◽  
Data Collection And Analysis ◽  
Post Test ◽  
English Students ◽  
Test Treatment

The implementation of the revised edition of the Curriculum of 2013 in Indonesia for millennial generation students does not focus on increasing the competency of the subjects only, but rather on improving the character, especially independence. This research is based on the issue of whether there is a significant relationship between teaching materials based on ETG (Educational Technology Gadget) on improving the competence of students' IBC and English as well as differences in student achievement in English subjects taught on an ETG basis when compared with non-ETG. The objectives to be achieved in this study are to investigate and examine whether there is a significant relationship between ETG-based teaching materials on improving the competence of IBC and English students and to find out whether there are differences in student achievement in English subjects taught with ETG-based if compared to non ETG ones. The research method is R&D with a type of factorial design research sourced from quantitative experiments. Beyond literature studies, curriculum analysis, and surveys, research starts from pre-test, treatment, post-test, data collection and analysis which are then concluded as indicators of performance. Keywords: Character, Millenial Generation, IBC, English, ETG

scholarly journals THE NEUTRALIZATION ON AN EMPTY NUMBER LINE MODEL FOR INTEGER ADDITIONS AND SUBTRACTIONS: IS IT HELPFUL?

2020 ◽  
Vol 11 (1) ◽  
pp. 1-16
Author(s):  
Puspita Sari ◽  
Mimi Nur Hajizah ◽  
Swida Purwanto
Keyword(s):  
Elementary School ◽  
Elementary School Students ◽  
Design Research ◽  
Research Study ◽  
Number Line ◽  
Teaching Experiment ◽  
Fifth Grade ◽  
Mathematical Beliefs ◽  
School Students ◽  
Procedural Method

The number line and the neutralization model have been used very extensively in teaching integer additions and subtractions for decades. Despite their advantages, issues concerning subtractions on these models are still debatable. Therefore, the neutralization on an empty number line (NNL) model is proposed in this research to help students better understand the meaning of integer subtractions as well as additions. This report is a part of a design research study conducted in a classroom of 28 elementary school students at the fifth grade. Data were gathered by collecting students’ written work, conducting interviews and observations during the teaching experiment. This paper focuses on students’ perceptions of the NNL model and what factors that might contribute to students’ achievements in understanding integer additions and subtractions. The analysis revealed that most students overemphasized on the use of the NNL model as a procedural method instead of as a model for thinking. Moreover, students’ mathematical beliefs and conceptions on the use of the column strategy and the absence of a discussion on the need of using the model are found to be some factors that could cause students’ misunderstandings. However, with a thorough planning, the NNL model has a potential to help students developing a meaning of integer additions and subtractions.

The Application of Double Number Line in Elementary School Mathematics Education

2018 ◽  
Vol 20 (1) ◽  
pp. 227-249 ◽  
Author(s):  
Hyewon Chang ◽  
Miin Lim ◽  
Migyoung Yu ◽  
Haemin Park ◽  
Jusuk Kim ◽  
...  
Keyword(s):  
Elementary School ◽  
Mathematics Education ◽  
Number Line ◽  
School Mathematics ◽  
Elementary School Mathematics ◽  
Double Number

scholarly journals Kemajuan Belajar Siswa pada Penjumlahan Bilangan Desimal Menggunakan Pengukuran Berat

2018 ◽  
Vol 3 (1) ◽  
pp. 1-17 ◽  
Author(s):  
Leni Maimuna ◽  
Darmawijoyo Darmawijoyo ◽  
Ely Susanti
Keyword(s):  
Design Research ◽  
Number Line ◽  
Learning Trajectory ◽  
Design Experiment ◽  
Fourth Grade Students ◽  
Measurement Results ◽  
Formal Level ◽  
Field Notes ◽  
Three Stages ◽  
Is Design

This study was aimed at describing the student’ learning progress on decimals addition by a set of learning activitis based on Indonesian Realistic Mathematics Education. This research  method is design research which contain three stages, namely: preliminary design, design experiment and retrospective analysis. Hypothetical Learning Trajectory (HLT) has been designed to play an important role as learning design and research instrument. HLT was tested to 30 fourth grade students. The data were collected through interview, observation, and field notes. The findings of the research  showed that this instructional design could stimulate students  in the introduction of one digit decimal through the result of weight measurement, the use of the model that the students make themselves (model of) to describe the measurement results at the second level, and marking the result of the measurement to the number line and continued by describing the process of decimals addition from the measurement activity to the number line in the more formal level. Furthermore at the formal level, students are able to solve the problem of the decimals addition using the correct procedure that is the place value rule.

scholarly journals Micro-moment timeline interview e Triangulação SMM: exemplo de aplicação da metodologia Sense-Making no Design da Informação | Micro-moment timeline interview and SMM Triangulation: example of Sense-Making Methodology applied to Information Design

2017 ◽  
Vol 14 (1) ◽  
pp. 30-45
Author(s):  
Claudio Henrique da Silva ◽  
Carla Galvão Spinillo
Keyword(s):  
Qualitative Research ◽  
Data Collection ◽  
Design Research ◽  
Meaning Making ◽  
Information Design ◽  
Qualitative Approach ◽  
Sense Making ◽  
Data Collection And Analysis

Pesquisas qualitativas fazem parte do universo do Design da Informação. A Metodologia Sense-Making proposta por Brenda Dervin mostra-se como uma abordagem interessante a ser utilizada em pesquisas de Design da Informação, uma vez que se apresenta como método e também oferece técnicas para coleta e análise de dados. O objetivo deste artigo é apresentar e exemplificar a aplicação da Micro-Moment Timeline Interview e a Triangulação SMM na utilização da Metodologia Sense-Making como abordagem qualitativa de pesquisa em Design da Informação. Fundamentos da Metodologia Sense-Making são apresentados bem como é exemplificada a aplicação de uma Micro-Moment Timeline Interview e a Triangulação SMM realizada como parte da pesquisa de doutoramento do autor deste artigo. A aplicação permitiu a melhor compreensão dos pressupostos desta metodologia bem como apresentou elementos que a qualificam para ser utilizada em pesquisas de Design da Informação. Qualitative research is part of the Information Design universe. The Sense-Making Methodology by Brenda Dervin is interesting to be used in Information Design research, since it proposes method and techniques for data collection and analysis. The purpose of this article is to present and exemplify an application of the Micro-Moment Timeline Interview and a SMM Triangulation in the use of the Sense-Making Methodology as a qualitative approach to Information Design research. Fundamentals of the Meaning-Making Methodology are given, and the application of a Micro-Moment Timing Interview and a SMM Triangulation are exemplified through a study on the use of medications by elderly. Such application allowed a better understanding of the assumptions of this methodology, as well as presented elements that are qualified to be used in Information Design research.

scholarly journals Pengembangan Soal Matematika Model PISA Level 4, 5, 6 Menggunakan Konteks Lampung

2016 ◽  
Vol 7 (1) ◽  
pp. 10-16 ◽  
Author(s):  
Yudi Yunika Putra ◽  
Zulkardi Zulkardi ◽  
Yusuf Hartono
Keyword(s):  
Design Research ◽  
Mathematical Thinking ◽  
Potential Effect ◽  
Literacy Skills ◽  
Design Development ◽  
Mathematical Literacy ◽  
Development Study ◽  
Mathematics Skills ◽  
Addition Problem ◽  
Mathematics In Context

Menyelesaikan soal matematika menggunakan konteks merupakan suatu cara yang dapat dilakukan untuk membantu menggunakan kemampuan matematikanya dalam kehidupan sehari-hari. Selain itu soal dengan menggunakan konteks akan mempermudah siswa dalam mensituasikan matematika kedalam konteks sehingga akan membantu siswa dalam menggunakan kemampuan literasi dalam menjawab soal, dan dapat menantang pola berpikir matematis siswa. Tujuan dari penelitian ini adalah Menghasilkan soal matematika model PISA menggunakan konteks Lampung yang valid dan praktis. Metode penelitian ini merupakan design research tipe development study. (Plomp, T., & Nieveen, N, 2007). Subjek dalam penelitian ini adalah siswa kelas IX SMP AR-RAIHAN Bandar Lampung dan SMP YADIKA Natar Lampung Selatan yang berumur maksimal 15 tahun. Dalam penelitian ini menghasilkan 15 butir soal PISA menggunakan konteks Lampung yang valid dan praktis serta mempunyai efek potensial terhadap kemampuan literasi matematika siswa.Solve a math problem using a context is a way that can be done by student to help them use their mathematics skills in everyday life. In addition problem using context will facilitate students in modeling the mathematics in context, so that will help the student to use their literacy skills in answering problem, and can challenge students' mathematical thinking patterns. The purpose of this study was to Generate PISA math models using context Lampung valid and practical. This research method is a type of research design development study. Subjects in this study were students of class IX SMP Ar-raihan Bandar Lampung and SMP YadikaNatar Lampung which has aged up to 15 years. The result of this study was 15 items PISA uses Lampung context of a valid and practical and have a potential effect on students' mathematical literacy skills.

scholarly journals ASSESSING SEVENTH GRADERS' MATHEMATICAL LITERACY IN SOLVING PISA-LIKE TASKS

2015 ◽  
Vol 6 (2) ◽  
pp. 117-128 ◽  
Author(s):  
Andi Harpeni Dewantara ◽  
Zulkardi Zulkardi ◽  
Darmawijoyo Darmawijoyo
Keyword(s):  
Field Test ◽  
Design Research ◽  
Potential Effect ◽  
Seventh Graders ◽  
Mathematical Literacy ◽  
Collecting Techniques ◽  
The Subject ◽  
Research Type ◽  
Test Result ◽  
Mathematical Process

This  design research type development study aims at producing a set of PISA-like mathematics task which is valid and practical as well as has the potential effects. Then, activation of fundamental mathematical capabilities underlying mathematical process related to the mathematical literacy as the main potential effect of the developed PISA-like tasks would be the focus on this paper. The subject of this study were 28 seven graders of SMP Negeri 1 Palembang involved in field test. Data collecting techniques used were students' test result and interviews. Overall findings indicate that 10 items of PISA-like mathematics task developed potentially promote students' mathematical literacy within three mathematical processes. The result also shows that the highest percentage of students' achievement was on the interpreting tasks (52.55%). While achievement for employ and formulate tasks were 40.74% and 39.63% respectively.Keywords: PISA-like problems, mathematical literacy, mathematical process, fundamental mathematical capabilites

scholarly journals Developing Hot Mathematics Task with Indonesian Heritage as Context to Assess Mathematical Literacy of Students in Primary School

2020 ◽  
Vol 1 (8) ◽  
pp. 69
Author(s):  
Wuli Oktiningrum ◽  
Dyah Ayu Pramoda Wardhani
Keyword(s):  
Primary School ◽  
Formative Evaluation ◽  
Design Research ◽  
Empirical Evaluation ◽  
Potential Effect ◽  
Mathematical Literacy ◽  
School Students ◽  
Field Test Result ◽  
Is Design ◽  
Test Result

The goal of this research produces a set of HOT mathematics tasks with Indonesian heritage as a context that is valid and practical to assess the mathematical literacy of students in primary school. The participants of the study were 120 students in primary school. The data was collected through documentation, questionnaire, test result, and interviews. This is design research using a type of development research with formative evaluation. The mathematics task not only reviewed by 7 experts, who assess the context, content, and language of prototype but also beyond empirical evaluation of validation and reliability testing. The field test result showed that the HOT mathematics task has a potential effect on the mathematical literacy of primary school students.

scholarly journals HUBUNGAN LITERASI LINGKUNGAN DAN LITERASI MATEMATIS TERHADAP KEMAMPUAN COMPUTER SELF EFFICACY

2021 ◽  
Vol 2 (2) ◽  
pp. 153-165
Author(s):  
M. Syaif Amrullah Alqusyairi ◽  
Suherman Suherman ◽  
Farida Farida
Keyword(s):  
Linear Regression ◽  
Multiple Linear Regression ◽  
Self Efficacy ◽  
Design Research ◽  
Linear Regression Analysis ◽  
Environmental Literacy ◽  
Multiple Linear Regression Analysis ◽  
Mathematical Literacy ◽  
Analysis Technique ◽  
Computer Self Efficacy

The purpose of this study is to determine the relationship between environmental literacy and mathematical literacy on the ability of students' Computer Self Efficacy. This quantitative study uses a Correlational Design research design. The data collection techniques in this study were environmental literacy tests, mathematical literacy tests, and a Computer Self Efficacy ability questionnaire. The data analysis technique used is Simple and Multiple Linear Regression. Based on the results obtained from research and calculations of Simple and Multiple Linear Regression analysis, it was concluded that there is a relationship between environmental literacy and the ability of Computer Self Efficacy of students, there is a relationship between mathematical literacy and the ability of Computer Self Efficacy of students, and there is a relationship between environmental literacy and mathematical literacy with the ability of students' Computer Self Efficacy. The magnitude of the influence of environmental literacy and mathematical literacy on the ability of Computer Self Efficacy is 39.2%.

Construction of Mathematical and Financial Concepts based on Realistic Mathematics Education

2020 ◽  
Vol 22 (5) ◽  
pp. 226-253
Author(s):  
Susana Machado Ferreira ◽  
Vanilde Bisognin
Keyword(s):  
Mathematics Education ◽  
Course Design ◽  
Financial Education ◽  
Realistic Mathematics Education ◽  
Mathematical Concepts ◽  
Problem Situations ◽  
Video Recordings ◽  
Realistic Mathematics ◽  
Data Collection And Analysis ◽  
And Mathematics

Context: This article presents the excerpt of a qualitative Doctorate in Science and Mathematics Teaching research. Objectives: To describe the results of a study carried out with students from an initial teacher training course. Design: From the development of a didactic sequence, a connection was sought between the ideas of Financial Education anchored by Realistic Mathematics Education (RME). Environment and participants: The study was conducted with 11 students from a Pedagogy course at a Brazilian university. Data collection and analysis: The data were collected through written records of the activities performed by the students, the observations of the classes, and the audio and video recordings. The methodology of analysis was defined considering the procedures of Content Analysis, using the modality of thematic analysis that occurs in three phases: pre-analysis, exploration of the material and treatment of the results. Results: The discussions of the problem situations developed according to the principles of RME, aroused in the students interest, curiosity, autonomy, cooperation and reflection on financial situations, showing that this approach contributed in a significant way, with the development of the didactic sequence. Conclusions: This study shows that by teaching mathematics from everyday contexts, several benefits can be achieved, such as motivation and interest to learn mathematics, and by understanding mathematical concepts, students will be able to use them for the organization of their financial life, and in a conscious, responsible and autonomous way, improve their quality of life.

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