Model-eliciting Activities Research Articles

Problem Solving for Teachers – Action Research in a Cross-Listed Undergraduate and Graduate Course

This article describes a course-based research experience in a cross-listed mathematical problem solving course for middle school pre-service and in-service teachers. The course was conducted entirely online due to statewide and university restrictions during the coronavirus pandemic. This study examines 4 undergraduate and 5 graduate students’ understanding of mathematical modeling. Undergraduate and graduate students were paired in groups to develop open-ended model-eliciting activities for their classmates to solve, and groups conducted educational action research to analyze their classmates’ work on the activities. We present one group’s activities and their results as an example of how action research can be conducted in a virtual teaching environment.

Investigating design, implementation and evaluation process of the model eliciting activities: the perspective of model eliciting principles

ABSTRACT This study aims to reveal how model eliciting principles are used in the process of designing, applying, and evaluating teacher candidates’ model-eliciting activities. This study was conducted in three stages in a multi-tiered teaching experiment. Firstly, 15 teacher candidates designed activities for Grade 7 students after they were trained on mathematical modeling. In the second stage, these activities were performed with Grade 7 students and video recorded. In the third stage, teacher candidates watched the videos and evaluated how model-eliciting principles were executed during instruction and revise their activities. To collect data, we used focus group interviews with teacher candidates, field notes, and reports. The findings revealed the two principles of reality and model construction to be at the fore during the design stage. The teacher candidates who watched the application videos found some problems in the principles of ‘reality’ ‘self-assessment’ and ‘model generalization’. Teacher candidates following the applications, for the new design, offered recommendations for ‘reality’ and ‘model construction’ principles although the other principles were somewhat neglected. They did express that by making the proper arrangements to the learning environment, students would be able to acquire the other principles over time.

An Instructional Design to Improve Students’ Higher Order Thinking Skills in Linear Programming

The purpose of this study is to provide an instructional design for improving students' Higher Order Thinking Skills (HOTS) in linear programming. The method used in writing this article is the literature review method consisting of books and articles. The results showed that the development of an instructional design through the Model Eliciting Activities (MEAs) approach was effective in increasing student HOTS in mathematics learning. MEAs guide students to mathematically model based on context or real problems, break them down into separate parts, then understand the relationships between these parts, and interpret the results of student construction.

Effect of Model-Eliciting Activities using Cloud Technology on the Mathematical Problem-Solving Ability of Undergraduate Students

Effect of Model-Eliciting Activities using Cloud Technology on the Mathematical Problem-Solving Ability of Undergraduate Students

Investigation of Mathematical Modeling Processes of Middle School Students in Model-Eliciting Activities (MEAs): A STEM Approach

This study aimed to reveal mathematical modeling processes and difficulties encountered in model-eliciting activities (MEAs) of 8th-grade students in a STEM education setting. This qualitative research is a case study conducted at a public school located in the central districts of a large province in the Mediterranean Region. The participants of the study are groups of 8th-grade middle school students in a classroom (five groups of students), which were selected with the purposeful sampling method in the 2019-2020 academic year. The student groups were applied an MEA according to a certain plan, and the students’ model-eliciting processes were recorded. Then, the participants’ modeling activity process and the cognitive activities they put forward through documents and interviews were examined by considering the stages in a mathematical modeling process. For this purpose, each group’s modeling process was analyzed qualitatively using the modeling cycle of Blum and Borromeo Ferri (2009). The results of the study revealed that these 8th-grade students faced some difficulties in the process of modeling. These difficulties were identified in 7 categories: understanding the problem, establishing a model, using mathematics, and explaining the results, - which are the four stages of the modeling process- working within a group, verifying the created model, and time management.

Lintasan Belajar SPLDV Melalui Pendekatan Model Eliciting Activities (MEAs)

This is a design research that aims to develop a learning trajectory of the two-variable linear equation system using the Model Eliciting Activities (MEAs) approach in eight grade. The research in cycle 1 was conducted at Xaverius 7 Junior High School Palembang which involved 6 students in eight grade. There are three stages in the research, namely preliminary design, design experiments, and retrospective analysis. Data were collected using interviews, tests, documentation, and field notes which were analyzed descriptively by comparing the Hypothetical Learning Trajectory (HLT). The results of this study indicate that the learning trajectory on the material of the two-variable linear equation system with the MEAs approach developed is in accordance with the HLT that has been designed.

The Relationship between Teacher Candidates’ Affective Dispositions and Instructional Planning Actions in STEM

This study explores the relationship between elementary teacher candidate affective dispositions and the action of STEM lesson planning. While affective dispositions are important, understanding the connection between dispositions and practice is key. Teacher candidates’ affective dispositions about STEM education and instructional planning were examined after participating in a virtual STEM experience. Seventeen elementary teacher candidates experienced STEM instruction via summer virtual courses and field placements. This article focuses on responses to questions about affective dispositions that were coded using inductive analysis. Dispositions towards the following themes were identified: ways to teach integrated STEM, use of inquiry and open ended questions, and confidence. Early childhood lesson plans were coded deductively using the characteristics of model-eliciting activities. Analysis of the data found that teacher candidates who experienced learning, observing, and planning via virtual experiences demonstrated positive affective dispositions towards teaching STEM. However, there were areas of disconnect between the affective dispositions expressed and the instructional action of planning STEM lessons. The data suggest the experiences of learning, observing, and planning STEM lessons can be meaningful in professional growth, but that more needs to be done beyond these experiences to create synergy between instructional actions and affective dispositions related to STEM education.

Pengaruh Model Eliciting Activities (MEA’s) terhadap Higher Order Thinking Skills (HOTS) dan Self Esteem Siswa Sekolah Menengah Pertama

This research aims to know the effect of Model Eliciting Activities (MEAs) and Conventional Learning Models to Higher Order Thinking Skills (HOTS) in mathematics and students self-esteem.The research was conducted at SMPN 200 and SMPN 53 Jakarta in the academic year 2020/2021. Design of this research is a post-test only experiment and control group design. The method used in this research was a quasi experiment. The instruments consist of the Higher Order Thinking Skills test, prior knowledge of mathematics test, and a questionnaire of mathematics self-esteem. The instruments have been checked in terms of validity and reliability. Two-way Anova was used for data analysis. The results show that: (1) Higher Order Thinking Skills of students who are given MEA’s is higher than the students who are given conventional Learning Models. (2) There is an enhancement of Higher Order Thinking Skills of students effected by prior knowledge of mathematics and Mathematics Learning Models. (3) Higher Order Thinking Skills of students with high KAM who are given MEA is higher than the students who are given Conventional Learning Model. (4) There is no significant difference in terms of Higher Order Thinking Skills between students with low KAM given MEA treatment and students given Conventional Learning Model treatment. (5) Mathematics Self Esteem of students given MEA treatment is higher than those given Conventional Learning Model treatment.

Researchers as Coaches: Developing Mathematics Teaching Capacity Using MEAs for STEM Integration

ABSTRACT The purpose of this study was to explore how university researcher professional development design decisions built and sustained K-8 partnerships which foregrounded mathematics in integrated STEM via model-eliciting activities (MEAs). We applied a self-study methodology to facilitate a longitudinal examination of our practice in this multi-year project. We used the Decision-Making Protocol for Mathematics Coaching to understand our collaboration with division stakeholders as they worked toward integrating MEAs with district curriculum and pacing. Analysis of professional development artifacts, evidence of scholarship, and researcher memos revealed four recalibration points driven by district initiatives and leadership changes. Coaching with MEAs created opportunities for equitable student engagement and formative assessment. Implications for designing professional development that emphasizes explicit connections between the constraints of mathematics curriculum and the possibilities of teaching and learning through STEM integration are presented.

Perceptions of Pre-Service Teachers Regarding the Model Eliciting Activities

This study aims to examine the perceptions of pre-service mathematics teachers about mathematical modelling activities. Participants of the study comprised 23 pre-service mathematics teachers who undertook a course on mathematical modelling. A 12-hour mathematical modelling course revealed the perceptions of participants. After it, the participants found/developed a modelling problem and explained why they evaluated it as a model eliciting activity (MEA). MEA found/developed by participants were examined by taking the principles of developing MEA into consideration. Results showed that many participants considered having more than one solution, the principle based on real-life context, and suitability for group work for MEA. The participants did not focus on the model documentation principle. Based on this result, faculty members can help pre-service teachers by using activities that can be considered appropriate for this principle in modelling education.

Tracing the emergence of modelling routines during model-eliciting activities

Engagement in complex, challenging and multifaceted model-eliciting activities is considered helpful for preparing learners for everyday life. The current study seeks to trace the evolution of modelling routines during two model-eliciting activities. To identify how these routines emerged and evolved, we video-recorded a group of five prospective teachers as they worked on two model-eliciting activities. We then transcribed the recordings and analysed the prospective teachers’ discussion using the lens of learning as routinization. Specifically, in the participants’ work on the two model-eliciting activities, we identified three routines that emerged and evolved during their discussion. The main routine focused on integrating all the components provided to create a model. The other routines entailed assigning values to numerical and qualitative data.

Development of Mathematics Student Worksheets Through the Approach Model Eliciting Activities (MEAs) on the Triangle Material

Student Worksheet is one of the teaching materials needed by teachers on the mathematics learning process to achieve basic competencies needed. The objective of this study is protype final, quality, and effectiveness of the development of worksheets based on the MEAs approach of triangel material. This type of R & D (Research and Development) research adopts the ADDIE development model. The trial sujects in this study are Grade VII students of SMP Negeri 1 Suli, Luwu Regency. Tehnique collection data that used were validity data obtained from validation sheets by experts, practicality data obtained from student response questionnaires and effectiveness data obtained from student learning outcomes tests. The data obtained were analyzed using descriptive statistics. The results of this study indicate that: The final prototype of the worksheet product developed had suitable with the principles of the MEAs approach, ther are: identifying problems, simplifying problems, building mathematical models, transforming and solving models, and interpreting the results; the quality of worksheet for validation is 85% in the very valid category, the average practicality is 73% in the practical category; and the effectiveness of the student worksheet score average 87% is in the very effective category increasing student learning outcomes in the material triangle.

Students’ mathematics problem solving ability through Model Eliciting Activities (MEAs)

Mathematical problem solving is an ability that is needed in the real world, especially in the field of work. Therefore, it is necessary to hone these skills from an early age. This study aims to describe the mathematical problem-solving abilities of students who learn to use MEAs. This research was conducted in class VIII at a junior high school in Bandung, Indonesia. The research method used is a qualitative approach. The instrument used was a test of mathematical problems solving and interviews. The results showed that the description of the mathematical problem-solving abilities of students who learned using MEAs, namely low category students succeeded in getting to the simple problem-solving planning stage so that the solving steps were not correct. Students in the category of being successful in problem planning but mistakenly seeing the facts in the problem, so that mistakenly made the first stage mathematical model so that students were wrong in determining the final goal of the solution. High category students succeed at the completion plan implementation stage of making the first stage mathematical model but mistakenly consider the real-world situation after the mathematical model at a later stage.

Global Connections through Mathematical Problem Solving

Teachers from two countries designed a model-eliciting activity about the global issue of wind energy. They share teaching and student outcomes from a cross-border engagement in the task with students from Indonesia and the United States through synchronous video conference.

Mathematical problem-solving skills on relation and function through Model-Eliciting Activities (MEAs)

Mathematics relation and function is one of important topics in junior high school. This study aims to see differences in the problem-solving a bilities of junior high school students who use the Model-Eliciting Activities (MEAs) and conventional models in learning mathematics relation and function. This research is a quantitative study using a quasi-experimental approach with a non-equivalent control group design. The population in this study was all of the seventh-grade students at a State Junior High School in Sungai Penuh, Jambi, Indonesia, and the sample was two groups experimental group and control group. The data collection technique used is a test of mathematical problem-solving skills. The data were analyzed by using he independent t-test to find comparisons or differences. The research result showed that there were differences in the mathematical problem-solving skills of junior high school students who used MEAs and other students who did not use MEAs. This difference occurs as a result of different treatment received by students, by MEAs students are required to be more active in understanding and formulating problems.

The development of mathematical learning devices based on model-eliciting activities and geogebra

This research aims to produce learning devices in the form of lesson plan (RPP) and students worksheet (LKPD) based on Model-Eliciting Activities and GeoGebra (MEA & GEO) to promote students’mathematical communication skills. The development model used is a Plomp model. The research data was collected through questionnaires, observation sheets, mathematical communication skills test, and interviews. The results showed that the learning devices based on MEA & GEO are valid, practical, and effective categories.

A design process for developing agricultural life science‐focused model eliciting activities

AbstractAgricultural life science topics include but are not limited to (1) agriculture and the environment, (2) culture, society, and economy, and (3) energy. These topics have potential to come up during mathematics and science instruction and offer learning opportunities. One way for agricultural life science topics to be part of such instruction is through tasks that encourage problem solving. Model‐eliciting activities (MEAs) are tasks that promote problem solving, draw upon real‐life experiences, and have potential to engage in learning across multiple disciplines. The purpose of this manuscript is to describe a qualitative, exploratory multiple case study. It answers the research question: What are important design features when developing Agricultural Life Science MEAs? Results from this study provide a viable roadmap as an approach to develop MEAs that address Agricultural Life Science issues. This roadmap includes six stages: problem identification, assessing developmental readiness, identifying potential engagement in the MEA, considering pedagogical supports, practitioner reviews, and finally field testing.

Enhancing computational thinking in undergraduate engineering courses using model‐eliciting activities

AbstractFostering of computational thinking (CT) skills has become an essential goal for engineering courses. This paper provides and discusses a teaching approach based on model‐eliciting activity (MEA) for enhancing students' CT in existing engineering courses. To verify the proposed approach, experimental studies were performed with students in the practicum unit of a computer‐aided engineering course. First, we investigated the feasibility of integrating CT training into the engineering courses through guiding students to perform a topic‐specific design task. Second, we compared the influences of the MEA‐based approach and conventional lecture‐based approach on students' learning effect with respect to course objectives and CT skills. Results show the CT‐integrated teaching did not at least weaken the teaching effect of the engineering course, and the MEA‐based approach seems to be more conducive to strengthening students' skills of identifying and solving problems, as well as team cooperation. Results also show the learning effect of the MEA group has apparent advantages for enhancing CT skills. These findings suggest that using MEA in engineering courses is beneficial to promote students' CT skills in terms of simplification, embedding, transformation, and simulation.

Berpikir Matematis Aspek Pemodelan Melalui Pendekatan Model Eliciting Activities (MEAs) pada Siswa Kelas VIII

This research is a descriptive study that aims to find out the mathematical thinking process of modeling aspects of class VIII students on function material through the Model Eliciting Activities (MEAs) approach. The subjects of this study were students of class VIII-2 Palembang 37 Public Middle School, totaling 30 students. The learning process takes place in accordance with the steps in the Model Eliciting Activities (MEAs) approach. Data collection techniques used in this study were written tests consisting of 3 questions and interviews. After conducting research, the results of mathematical thinking obtained aspects of student modeling after the implementation of learning with the Model Eliciting Activities (MEAs) approach to the function material in class VIII-2 of SMP Negeri 37 Palembang is that students do more concretization and objectification processes. Students have been able to simplify a problem and make symbols to develop problem solving strategies. However, in the process of estimation of results, students need to be trained to check back an answer from completion because there are still many students who do not do the process. The cause many students still have difficulty estimation of result because students do not know how to check back correctly, most students are only reread the answers, do not associate whether the answers are in accordance with the questions and also most students do not heed the order of questions to look back, students feel enough by obtaining the final results without re-analyzing the results that have been obtained.

Mathematical Problem Solving and Disposition: Experiment with Tenth Grade Students Using MEAs

This reseach is a pre test-post test experimental control group design having a goal to examine  the role of Model Eliciting Activities (MEAs) approach, on student’s mathematical problem solving ability (MPSA) and disposition (MD). The research involved 59 tenth grade students of a Senior High School in Garut Inodonesia, a MPSA test, and a MD  scale. The research found MEAs took greater role than SA on improving student’s MPSA and its N<Gain>. Students getting treatment with MEAs obtained MPSA higher grade than the grade of students taught by SA, however those both grades were at low grade level, and students encountered many difficulties on solving MPSA tasks. In addition to, there were no different grades on student’s MD, and the grades were at fairly good level, and there was strong association between MPSA and MD. Other findings was that students declared positive opinion on MEAs and they peformed active learning during the lessons. Keywords:mathematical problem solving, disposition, MEAs approach,