Onto semiotic approach to analyze students’ understanding of algebra based on math ability

Mahmoodi, Amin; Juniati, Dwi; Sulaiman, Raden

doi:10.1063/1.5054481

Cited by 5 publications

(7 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…An onto-semiotic approach is an approach to understanding the meaning or nature (ontology) of mathematical objects covering three mathematical aspects: problemsolving activity, symbolic language, and organized logical and conceptual system (Godino, Batanero, & Roa, 2005;Montiel, Wilhelmi, Vidakovic, & Elstak, 2009). In general, semiotics is defined as a philosophical theory that deals with signs and symbols used to communicate specific information (Amin, Juniati, & Sulaiman, 2018). The mathematical object referred to in this research is anything that can be used, suggested, or pointed to when doing, communicating, or learning mathematics (Font, Godino, & D 'amore, 2007;Godino et al, 2005;Montiel et al, 2009).…”

Section: Introductionmentioning

confidence: 99%

“…); definitions or descriptions of mathematical notions (number, point, straight line, mean, function, etc. ); propositions, properties or attributes, which usually are given as statements; procedures or subjects' actions when solving mathematical tasks (operations, algorithms, techniques, procedures); and arguments used to validate and explain the propositions or to contrast (justify or refute) subjects' actions (Amin et al, 2018;Font et al, 2007;Rudi, Suryadi, & Rosjanuardi, 2020).…”

Section: Introductionmentioning

confidence: 99%

“…The onto-semiotic approach has been applied in several previous studies related to mathematics learning. It is applied to analyze the mathematical concepts of different coordinate systems in college students (Montiel et al, 2009), algebraic abilities based on the students' mathematics ability level (Amin et al, 2018), and also the difficulties of students in understanding and applying the Pythagorean theorem (Rudi et al, 2020). Besides being applied to students, the onto-semiotic approach can also be used to analyze the learning flow applied by the teacher.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Students’ Obstacles in Learning Sequence and Series Using Onto-Semiotic Approach

Rachma

Rosjanuardi

2021

JPM Unsri

View full text Add to dashboard Cite

Sequences and series is one of the mathematical topics that are related to everyday life. The topic is also taught at several levels of education in Indonesia. However, many students still experrienced difficulties in learning this topic. This study uses an interpretive paradigm that is part of the Didactical Design Research (DDR). This research aims to analyze students’ learning obstacles on the topic of sequence and series using the onto-semiotic approach. To do so, written test consists of five questions related to the conceptual understanding of an arithmetic sequences and series was administered to 23 students from one of the senior high schools in Kota Tangerang Selatan followed by interviews with 4 students. The results show that learning obstacles are classified into epistemological, ontogenic, and didactical obstacles. Based on the onto-semiotics approach, the students had difficulties in defining a mathematical idea on sequences and series topics. They could convert a problem into mathematical model but were confused to use a proper procedure. It can be concluded that students still experience obstacles in learning sequences and series topic. The results of this study can be used by teachers as considerations in designing learning situation on the topic of sequence and series.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Students’ Obstacles in Learning Sequence and Series Using Onto-Semiotic Approach

Rachma

Rosjanuardi

2021

JPM Unsri

View full text Add to dashboard Cite

show abstract

“…An onto-semiotic approach considers the nature or meaning of mathematical objects and includes three aspects of mathematics: problem-solving, symbolic language, and organized logical and conceptual systems (Godino, Batanero, & Roa, 2005). The onto-semiotic approach has been used to analyze the obstacles to learning mathematics based on previous research: (1) analyze students' understanding of algebra using the onto-semiotic approach, which focuses on language components, descriptions, procedures, propositions, and arguments (Amin et al, 2018); (2) examine learning obstacles related to sequences and series, with a focus on situation components, descriptions, and procedures (Rachma & Rosjanuardi, 2021); (3) examine students' difficulties with the Pythagorean theorem, focusing on language elements, situations, descriptions, procedures, propositions, and arguments (Rudi, Suryadi, & Rosjanuardi, 2020); (4) analyze the understanding of integration focusing on language components, problems, concepts, procedures, propositions, and arguments (Borji & Font, 2019).…”

Section: Introductionmentioning

confidence: 99%

The Analysis of Primary Students’ Learning Obstacles on Plane Figures’ Perimeter and Area using Onto-Semiotic Approach

Milinia

Amir

2022

al.ibtida.snj

View full text Add to dashboard Cite

Primary school students frequently encounter plane figures' perimeter and area. Using an onto-semiotic approach, this study examine students' learning challenges when learning the plane figures' perimeter and area. As part of the didactic design research, this study used an interpretive paradigm. The study included 25 fourth-grade students in one of elementary school in Sidoarjo, Indonesia. Data was gathered through tests, interviews, and documentation, as well as descriptive analysis techniques. The results showed that students face three types of learning obstacles, i.e. ontogenic, epistemological, and didactic. Students have difficulty describing plane figures, understanding mathematical situations in problems, and using mathematical procedures to solve problems using the onto-semiotic approach. This study examines students' reactions to learning about the plane figures' perimeter and area. Furthermore, the findings of this study serve as a starting point for educators, practitioners, and researchers in developing new didactic designs. So that grade four primary students can overcome the obstacles discovered.

show abstract

“…Montiel, Wilhelmi, Vidakovic, & Elstak (2009) applied an onto-semiotic approach in analyzing students' mathematical concepts on the topic of the coordinate system. The use of the onto-semiotic approach was then executed by Amin, Juniati, & Sulaiman (2018) in analyzing junior high school students' competence on the topic of algebra.…”

Section: Introductionmentioning

confidence: 99%

Identifying Students’ Difficulties in Understanding and Applying Pythagorean Theorem With an Onto-Semiotic Approach

Rudi

Suryadi

Rosjanuardi

2020

mapan

View full text Add to dashboard Cite

This research is conducted to obtain a description of students' difficulties in understanding and applying Pythagorean theorem based on the onto-semiotic approach. This research applies a qualitative approach with phenomenology interpretation design. Research data were collected using test and interview methods. The research result was deducted from students' answer sheets and interviews. Participants involved in this study were as many as 25 students of UPI Lab School Junior High School Bandung, who had learned Pythagorean theorem, 4 of which also participated in the interview. It showed that students found it complicated to comprehend definition, describe symbols or notations of mathematical objects, and interpret mathematical objects. Meanwhile, in solving problems related to the application of the Pythagorean theorem, students could describe procedure, algorithm, and technique in solving questions well.

show abstract

Onto semiotic approach to analyze students’ understanding of algebra based on math ability

Cited by 5 publications

References 8 publications

Students’ Obstacles in Learning Sequence and Series Using Onto-Semiotic Approach

Students’ Obstacles in Learning Sequence and Series Using Onto-Semiotic Approach

The Analysis of Primary Students’ Learning Obstacles on Plane Figures’ Perimeter and Area using Onto-Semiotic Approach

Identifying Students’ Difficulties in Understanding and Applying Pythagorean Theorem With an Onto-Semiotic Approach

Contact Info

Product

Resources

About