scholarly journals PARTITIVE FRACTION DIVISION: REVEALING AND PROMOTING PRIMARY STUDENTS’ UNDERSTANDING

2020 ◽  
Vol 11 (2) ◽  
pp. 237-258
Author(s):  
Kamirsyah Wahyu ◽  
Taha Ertugrul Kuzu ◽  
Sri Subarinah ◽  
Dwi Ratnasari ◽  
Sofyan Mahfudy
Keyword(s):  
Design Research ◽  
Primary Students ◽  
Graphical Representations ◽  
Fraction Division ◽  
Symbolic Representations ◽  
Whole Number ◽  
Division Problems ◽  
Field Notes ◽  
Support Students ◽  
Teaching Experiments

Students show deficient understanding on fraction division and supporting that understanding remains a challenge for mathematics educators. This article aims to describe primary students’ understanding of partitive fraction division (PFD) and explore ways to support their understanding through the use of sequenced fractions and context-related graphical representations. In a design-research study, forty-four primary students were involved in three cycles of teaching experiments. Students’ works, transcript of recorded classroom discussion, and field notes were retrospectively analyzed to examine the hypothetical learning trajectories. There are three main findings drawn from the teaching experiments. Firstly, context of the tasks, the context-related graphical representations, and the sequence of fractions used do support students’ understanding of PFD. Secondly, the understanding of non-unit rate problems did not support the students’ understanding of unit rate problems. Lastly, the students were incapable of determining symbolic representations from unit rate problems and linking the problems to fraction division problems. The last two results imply to rethink unit rate as part of a partitive division with fractions. Drawing upon the findings, four alternative ways are offered to support students’ understanding of PFD, i.e., the lesson could be starting from partitive whole number division to develop the notion of fair-sharing, strengthening the concept of unit in fraction and partitioning, choosing specific contexts with more relation to the graphical representations, and sequencing the fractions used, from a simple to advanced form.

scholarly journals DESAIN PEMBELAJARAN PERBANDINGAN SENILAI MENGGUNAKAN GUIDED INQUIRY

2019 ◽  
Vol 2 (2) ◽  
pp. 85-102
Author(s):  
Danty Rahmasantika ◽  
Rully Charitas Indra Prahmana
Keyword(s):  
Student Learning ◽  
Learning Outcomes ◽  
Design Research ◽  
Student Learning Outcomes ◽  
Learning Design ◽  
Guided Inquiry ◽  
Average Value ◽  
Field Notes ◽  
Written Test ◽  
Support Students

This study aims to support students' understanding of learning comparative material and determine student learning outcomes incomparable learning through LAS-based guided inquiry learning models. This study uses a research design research method, which was carried out in class VII B SMP N 1 Berbah Sleman. The research instruments used were recording devices, written test sheets, field notes sheets, and questionnaire sheets. The results showed that at the 1st and 2nd meetings, students were seen to be still adapting to the learning design applied. At the next meeting, students can participate in learning activities better. Also, student learning outcomes indicate that the average value obtained by students is 71.57 with Minimum Completeness Criteria (KKM) for a comparison of 70.

scholarly journals Creating a context for learning: Activating children’s whole number knowledge prepares them to understand fraction division

2017 ◽  
Vol 3 (1) ◽  
pp. 31-57 ◽  
Author(s):  
Pooja Gupta Sidney ◽  
Martha Wagner Alibali
Keyword(s):  
Prior Knowledge ◽  
Mathematical Thinking ◽  
Conceptual Structure ◽  
Analogical Transfer ◽  
Arithmetic Operations ◽  
Fraction Division ◽  
Whole Numbers ◽  
Whole Number ◽  
Fraction Concepts ◽  
Division Problems

When children learn about fractions, their prior knowledge of whole numbers often interferes, resulting in a whole number bias. However, many fraction concepts are generalizations of analogous whole number concepts; for example, fraction division and whole number division share a similar conceptual structure. Drawing on past studies of analogical transfer, we hypothesize that children’s whole number division knowledge will support their understanding of fraction division when their relevant prior knowledge is activated immediately before engaging with fraction division. Children in 5th and 6th grade modeled fraction division with physical objects after modeling a series of addition, subtraction, multiplication, and division problems with whole number operands and fraction operands. In one condition, problems were blocked by operation, such that children modeled fraction problems immediately after analogous whole number problems (e.g., fraction division problems followed whole number division problems). In another condition, problems were blocked by number type, such that children modeled all four arithmetic operations with whole numbers in the first block, and then operations with fractions in the second block. Children who solved whole number division problems immediately before fraction division problems were significantly better at modeling the conceptual structure of fraction division than those who solved all of the fraction problems together. Thus, implicit analogies across shared concepts can affect children’s mathematical thinking. Moreover, specific analogies between whole number and fraction concepts can yield a positive, rather than a negative, whole number bias.

scholarly journals Ten-Structure as Strategy of Addition 1-20 by Involving Spatial Structuring Ability for First Grade Students

2015 ◽  
Vol 8 (11) ◽  
pp. 16 ◽  
Author(s):  
Ummy Salmah ◽  
Ratu Ilma Indra Putri ◽  
Somakim Somakim
Keyword(s):  
Teaching And Learning ◽  
Design Research ◽  
First Grade ◽  
Learning Activities ◽  
Design Learning ◽  
Spatial Structuring ◽  
Support Students

<p class="apa">The aim of this study is to design learning activities that can support students to develop strategies for the addition of number 1 to 20 in the first grade by involving students’ spatial structuring ability. This study was conducted in Indonesia by involving 27 students. In this paper, one of three activities is discussed namely ten-box activity. This activity was aimed to introduce and develop ten-structure to be a students’ strategy in addition of number 1 to 20. The method was design research by designing learning activities involving spatial structuring ability. PMRI underlined the context and activity. The result of the study indicates that ten-box activities can help students to develop ten-structure as a strategy in addition of number 1 to 20. As a recommendation, PMRI can be implemented as an approach of teaching and learning addition 1 to 20.</p>

scholarly journals Literacies of Refuge: “Pidiendo Posada” as Ritual of Justice

2020 ◽  
Vol 52 (1) ◽  
pp. 32-54 ◽  
Author(s):  
Cati V. de los Ríos ◽  
Arturo Molina
Keyword(s):  
Participatory Design ◽  
Design Research ◽  
Local Community ◽  
Literacy Practices ◽  
Ethnic Studies ◽  
Immigrant Families ◽  
Social Protest ◽  
Immigrant Community ◽  
University Researcher ◽  
Field Notes

This article explores how a secondary ethnic studies course leveraged immigrant families’ literacies rooted in the Mexican spiritual ritual of Las Posadas for in-school literacy instruction and to engage in community-responsive grassroots processions as social protest. Using ethnographic and participatory design research, the authors—one a university researcher and the other an ethnic studies teacher—examine the literacy practices of a long-standing immigrant community–classroom partnership that unites day laborers, families, students, and teachers in the name of justice and refuge. Using photographs, interviews, students’ literacy artifacts, focus groups, and field notes, this study asks, (a) What do literacies look like in an ethnic studies course that designed learning around local community knowledge and sanctuary? (b) How do students respond to such curricular design? This study contributes ethnographic knowledge on school-based participatory research projects that build on the intergenerational literacies, sociopolitical awareness, and social movements of Latinx immigrant families.

scholarly journals Desain Pembelajaran Penjumlahan dan Pengurangan Bilangan Menggunakan Konteks Bangka Belitung untuk Mendukung KBKM Siswa

2019 ◽  
Vol 2 (1) ◽  
pp. 11-24
Author(s):  
Rajab Vebrian ◽  
Yudi Yunika Putra
Keyword(s):  
Design Research ◽  
Pacific Islands ◽  
Teaching Experiment ◽  
Learning Trajectory ◽  
Learning Context ◽  
Design Learning ◽  
The Pacific ◽  
Addition And Subtraction ◽  
Support Students ◽  
Research Type

This study aims to produce learning trajectories of addition and subtraction of material numbers using the context of Bangka Belitung, also to find out whether the use of these learning designs can support students' Critical Thinking Abilities (KBKM). The research method, this research is a validation study design research type involving 6 students in the pilot experiment stage, and 25 students in the teaching experiment stage. The alleged learning trajectory was developed from a series of learning activities using the context of the Pacific Islands, such as sahang / pepper seeds as a model in learning the addition and subtraction of numbers. The results showed the use of trajectories in the context of Bangka Belitung provided different assessment results between the students' pretest and posttest scores. Most students have been able to solve the problem of addition and subtraction and provide arguments in answering the problems encountered. In conclusion, the use of instructional design using the context of Bangka Belitung in the learning of addition and subtraction of numbers can support student CBCS. Keywords: Numbers, Design, Learning Context

scholarly journals INVESTIGATING THE ACT OF DESIGN IN DISCHARGE CONCEPT USING PMRI

2015 ◽  
Vol 6 (2) ◽  
pp. 129-138 ◽  
Author(s):  
Lestariningsih Lestariningsih ◽  
Muhammad Anwar ◽  
Agus Mulyanto Setiawan
Keyword(s):  
Instructional Design ◽  
Data Collection ◽  
Retrospective Analysis ◽  
Design Research ◽  
Teaching Experiment ◽  
Support Students ◽  
Three Phases

The goal of this research is to investigate the act of design in discharge concept using Pendidikan Matematika Realistik Indonesia (PMRI) approach with Lapindo's Mud phenomenon as a context. Design research was chosen as method used in this research that consist of three phases, namely preparing for the experiment, teaching experiment,  and retrospective analysis. Based on the result of investigating from findings and the data obtained in this research, it can be concluded that the use of instructional design using PMRI can support students' understanding in learning the concept of discharge. Observing activities Lapindo mud photos, watching videos Lapindo mud, observing miniature discharge of Lapindo mud, volume of water and time of data collection are needed, and finding discharge of Lapindo mud are conducted in this research.Keywords: discharge, design research, PMRI DOI: dx.doi.org/10.22342/jme.72.129

scholarly journals DESAIN PEMBELAJARAN SUDUT MENGGUNAKAN KONTEKS RUMAH LIMAS DI KELAS VII

2016 ◽  
Vol 2 (2) ◽  
pp. 437
Author(s):  
Wiwik Widyawati ◽  
Ratu Ilma Indra Putri ◽  
Unsri Somakim
Keyword(s):  
Design Research ◽  
Video Recording ◽  
Teaching Experiment ◽  
Learning Trajectory ◽  
Research Approach ◽  
Angle Data ◽  
Instruction Theory ◽  
Actual Learning ◽  
Support Students ◽  
Analysis Of Teaching

The aims this study are to produce Learning Trajectory use Rumah Limas as context. The approach used is Pendidikan Matematika Realistik Indonesia (PMRI). The subjects were 26 students of class seventh of SMPN 1 Keluang. This study was using design research approach, the hypothetical Learning Trajectory was developed from a set of activities using Rumah Limas as context. In theory the development carried through the interactive process comprise of preliminary design, teaching experiment and restrospective analysis to contribute to Local Instruction Theory (LIT) to supporting students learn of angle. Data collected by making video recording about incident in the class, collecting students worksheet, giving pretest and postest, interviewing students. The designed HLT compared with Actual Learning Trajectory (ALT) during teaching experiment to analyze whether the students learned or didn't learn from what we had designed in the instructional sequence. Retrospective analysis of teaching experiment showed that by using Rumah Limas as context can support students learning of angle.

scholarly journals Tell Tale Increasing Skill: Increasing Indonesian Student Reading Comprehension Through Indonesian Folklore

Humaniora ◽  
2016 ◽  
Vol 7 (4) ◽  
pp. 577
Author(s):  
Endang Ernawati ◽  
Retnowati Retnowati
Keyword(s):  
Reading Comprehension ◽  
Primary Students ◽  
School Students ◽  
Reading Material ◽  
Library Research ◽  
Comprehension Skills ◽  
Reading Materials ◽  
Student Reading ◽  
Support Students ◽  
Reading Comprehension Skills

The goals of the research were to compile a reading material that was able to measure the fifth year primary students’ comprehension to the Betawi folklore which represented Indonesian culture; the value found in the Betawi folklore, and to increase their writing skills based on the vocabulary in context assessment. A library research was applied by selecting the story suitable for primary school students, translating materials, simplifying the reading, and making reading exercise to develop student’s reading comprehension skills. Reading materials and exercises were focused to the fifth year primary students who have been learning English for more than three years. It can be concluded that the interesting reading materials can be compiled from the original Indonesian folklore entitled “The Old Sly Stork” to support students’ achievement in finding the story’s values, and students’ skills in writing based on the reading materials, value, and their daily life experiences. 

scholarly journals The Data Package in Learning Mean Using LSLC and PMRI

2021 ◽  
Vol 15 (1) ◽  
pp. 61-70
Author(s):  
Poppy Trianti Rahayu ◽  
Ratu Ilma Indra Putri
Keyword(s):  
Learning Community ◽  
Lesson Study ◽  
Design Research ◽  
Teaching Experiment ◽  
Learning Trajectory ◽  
Literature Study ◽  
Field Notes ◽  
Design Type ◽  
Written Test ◽  
Research Type

This study aims to produce statistical learning designs in the introduction of the concept of average values and knowing student learning outcomes in learning average values by previously learning about the presentation of data consisting of tables and diagrams through learning trajectories and what happens during the learning process. This learning is based on Lesson Study for Learning Community (LSLC), the approach of Indonesian Realistic Mathematics Education (PMRI). This study uses a type of Design Research method research design type of validation study, which involves in MTs 1 in Palembang. There are three stages in design research type validation studies namely Preparing for the experiment in the form of literature study and the design of the Hypothetical Learning Trajectory (HLT); Design experiment in the form of a Preliminary Teaching Experiment (Pilot Experiment) and Teaching Experiment; and Restrospective analysis. The instruments used were written test, video and field notes. The results of learning experiments show that the design of learning provided has helped students understand the concept of Mean.

scholarly journals An Approach to Design Research through Teaching Experiments

2011 ◽  
Vol 29 (1) ◽  
pp. 75
Author(s):  
Marta Molina González ◽  
Encarnación Castro Martínez ◽  
Jose Luis Molina González ◽  
Enrique Castro Martínez
Keyword(s):  
Design Research ◽  
Teaching Experiments
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