Seventh Grade Students’ Problem Solving Success Rates on Proportional Reasoning Problems

Pelen, Mustafa Serkan; Artut, Perihan Dinç

doi:10.21890/ijres.71245

Cited by 10 publications

(6 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Additionally, it was concluded that problem types affected students' solution strategies. Similar results were reported by Pelen and Artut (2016) who investigated seventh grade students' problem-solving performances on some proportional and non-proportional problems. They found that problem types affected students' problem-solving performances.…”

Section: Literature Reviewsupporting

confidence: 86%

“…Furthermore, students were more successful in solving missing value problems than the other types of problems. Similarly, research studies reported that problem types affected students' solution strategies and problem-solving performances (Duatepe et al, 2005;Kayhan, 2005;Özgün-Koca & Kayhan-Altay, 2009;Pelen & Artut, 2016). Furthermore, the findings of the study revealed that students' success rates were changed according to the context of the problems.…”

Section: Conclusion and Discussionmentioning

confidence: 55%

See 1 more Smart Citation

Investigation of Middle School Students’ Solution Strategies in Solving Proportional and Non-proportional Problems

Tunç¹

2020

Turkish Journal of Computer and Mathematics Education (TURCOMAT)

View full text Add to dashboard Cite

The purpose of this study was to investigate middle school students' solution strategies in solving different types of proportional (i.e., missing value, numerical comparison and qualitative reasoning problems) and non-proportional problems and to compare if differences existed between sixth and eighth grades students' solution strategies. Data were collected from 101 sixth grade (n=44) and eighth grade (n=57) students from three different public middle schools. The students were asked to solve ten open-ended items that included seven proportional problems and three non-proportional problems. Descriptive data analysis methods were used to analyze data. The results revealed that the students' solution strategies differed based on problem type and grade level. The eighth grade students used cross-multiplication as a leading strategy whereas the sixth grade students used factor of change strategy. Moreover, the results showed that students commonly used incorrect proportional strategies to solve non-proportional problems.

show abstract

Section: Literature Reviewsupporting

confidence: 86%

Section: Conclusion and Discussionmentioning

confidence: 55%

Investigation of Middle School Students’ Solution Strategies in Solving Proportional and Non-proportional Problems

Tunç¹

2020

Turkish Journal of Computer and Mathematics Education (TURCOMAT)

View full text Add to dashboard Cite

show abstract

“…Students who do not understand the use of ratios and proportions cannot work on missing value problems. Students have difficulty solving one type of proportion problems, that is missing value problems (Pelen & Artut, 2016). Students with a low level of mathematical ability cannot reason according to the context of the problem given.…”

Section: Discussionmentioning

confidence: 99%

Student Proportional Reasoning on Missing Value Problems Based on Multiplicative Concepts

M Nur,

Diah Prawitha Sari,

Saleh

2023

International j.of Elementary Education

View full text Add to dashboard Cite

Proportional reasoning involves an understanding of the relationship of the overall multiplicative partitions between ratios and proportions. However, the problem that is often faced by students in proportional reasoning is that students tend to use additive strategies which can cause students to get incorrect answers. This study aims to analyze and describe students' proportional reasoning in solving the missing value problem based on the multiplicative concept. The research design used a qualitative approach with exploratory descriptive type. The research subjects were 3 students of grade VII. Research subjects were selected based on their oral and written communication skills and the considerations of mathematics teachers. Collecting data using the missing value problem solving test and interview guidelines. Data analysis based on the results of student work and the results of interviews directed to determine the research focus in the form of characteristics and indicators of proportional reasoning. The results of the study found three categories of students' proportional reasoning in solving the missing value problem, namely the "additive" category, students observing objects using the sum concept. The multiplicative category of the "within ratio" type, students observe objects using the multiplicative concept between elements in the same ratio. Multiplicative category of type "between ratios", students observe objects using the concept of multiplication between elements in different ratios.

show abstract

“…Proporsi diartikan sebagai kesamaan dua rasio dalam bentuk 𝑎 𝑏 = 𝑐 𝑑 [2]. Pada bentuk proporsi tersebut, apabila terdapat salah satu nilai yang hilang, maka disebut dengan masalah missing value (nilai yang hilang) [3]. Misal ketika diketahui tiga nilai 𝑎, 𝑏, dan 𝑐 dari proporsi 𝑎: 𝑏 = 𝑐: 𝑑, maka siswa diminta untuk mencari nilai 𝑑 [4].…”

Section: Pendahuluanunclassified

Penalaran Proporsional Siswa dalam Strategi Worked Example

Ibrahim,

Amir

2024

Jambura.J.Math.Educ.

View full text Add to dashboard Cite

Elementary school students need proportional reasoning inside or outside the classroom. However, students still have difficulties in using proportional reasoning. The worked example strategy has been empirically proven to facilitate students' proportional reasoning. The study aimed to analyze the effect of the implementation of the worked example strategy on students' proportional reasoning. The research method used mixed methods with a sequential explanatory design. The research was conducted in one of the elementary schools in Krembung, East Java, Indonesia. The sample technique used was random and purposive sampling. The instruments used include proportional reasoning tests and interview guidelines. Data analysis used paired-sample t-test and thematic analysis. The results showed that there was a significant influence on proportional reasoning in the implementation of the worked example strategy. The success of proportional reasoning can be seen in the aspects of changes in two quantities and proportions. The results of this study have implications for mathematics learning. Teachers can apply the worked example strategy so that students are accustomed to imitating problem-solving steps, which can then be developed into more complex solutions to solve other problems.

show abstract

Seventh Grade Students’ Problem Solving Success Rates on Proportional Reasoning Problems

Cited by 10 publications

References 13 publications

Investigation of Middle School Students’ Solution Strategies in Solving Proportional and Non-proportional Problems

Investigation of Middle School Students’ Solution Strategies in Solving Proportional and Non-proportional Problems

Student Proportional Reasoning on Missing Value Problems Based on Multiplicative Concepts

Penalaran Proporsional Siswa dalam Strategi Worked Example

Contact Info

Product

Resources

About