6th grade students’ use of different strategies in solving ratio and proportion problems

Avcu, Ramazan; Avcu, Seher

doi:10.1016/j.sbspro.2010.12.320

Cited by 8 publications

(8 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The researchers suggested that the seventh graders mostly used the unit rate strategy since they had not been taught the cross-product algorithm. On the other hand, the study by Avcu and Avcu (2010) found some conflicting results with the current study. The researchers argued that the sixth grade students' most frequently used strategy was "crossmultiplication" in solving ratio and proportion problems.…”

Section: Conclusion and Discussioncontrasting

confidence: 99%

“…The reason for this conflicting result might be that different mathematics curricula were adopted by the time of data collection. For instance, when Avcu and Avcu (2010) conducted their study, the sixth grade mathematics curriculum contained both ratio and proportion concepts and suggested to teach cross-multiplication algorithm in a proportion (MNE, 2009). However, when the current study was conducted, the sixth grade mathematics curriculum contained only ratio concept and did not mention cross-multiplication algorithm (MNE, 2013).…”

Section: Conclusion and Discussionmentioning

confidence: 99%

“…Research studies revealed that students frequently rely on rote procedures such as the cross-multiplication strategy in order to solve missing value problems (Ayan & Işıksal-Bostan, 2019;Avcu & Avcu, 2010;Duatepe, Akkuş-Çıkla & Kayhan, 2005;Kayhan;Lamon, 2012;Pişkin-Tunç, 2016;Toluk-Uçar, & Bozkuş, 2018). Although the cross-multiplication strategy is an effective strategy, it can cause confusion and errors because it does not highlight the multiplicative relationships between variables .…”

Section: Literature Reviewmentioning

confidence: 99%

“…A study by Avcu and Avcu (2010) was conducted to investigate sixth grade students' solution strategies in ratio and proportion problems. Students in the study utilized six different strategies which were cross-product algorithm, equivalent fractions, factor of change, equivalent class, unit rate, and building-up strategies.…”

Section: Literature Reviewmentioning

confidence: 99%

See 3 more Smart Citations

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: Conclusion and Discussioncontrasting

confidence: 99%

Section: Conclusion and Discussionmentioning

confidence: 99%

Section: Literature Reviewmentioning

confidence: 99%

Section: Literature Reviewmentioning

confidence: 99%

See 2 more Smart Citations

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

“…Dalam menyelesaikan masalah yang melibatkan situasi proporsional, siswa dapat menggunakan berbagai macam strategi, yaitu strategi unit rate, strategi faktor perubahan, build-up method, strategi kali silang, dan unitizing (Avcu & Avcu, 2010). Penggunaan strategi tersebut dalam menyelesaikan masalah yang melibatkan situasi proporsional antara siswa laki-laki dan perempuan berbeda.…”

Section: Pendahuluanunclassified

Penalaran Proporsional Siswa SMP Kelas IX dalam Menyelesaikan Masalah Matematika ditinjau dari Gender

Permatasari¹

2017

Kreano

View full text Add to dashboard Cite

Penelitian ini merupakan penelitian kualitatif yang bertujuan untuk mendeskripsikan penalaran proporsional siswa smp laki-laki dan perempuan dalam menyelesaikan masalah matematika. Subjek penelitian terdiri dari siswa laki-laki dan perempuan kelas IX SMPN 2 Bangsal Mojokerto. Penelitian ini dimulai dengan memberikan Tes Kemampuan Matematika (TKM) untuk mendapatkan dua subjek dengan kemampuan matematika yang setara. Kemudian dilanjutkan dengan pemberian Tugas Penalaran Proporsional (TPP) dan wawancara. Pengecekan keabsahan data menggunakan triangulasi waktu. Hasil penelitian ini menunjukkan bahwa siswa laki-laki dan perempuan menunjukkan aktivitas penalaran proporsional pada komponen 1) memahami kovariasi, 2) mengenali situasi proporsional dan non-proporsional, 3) mengaplikasikan strategi multiplikatif dan 4) memahami syarat penggunaan rasio, pada saat menyelesaikan masalah jenis missing value. Kemudian untuk jenis masalah numerical comparison diperoleh hasil bahwa hanya siswa laki-laki yang menunjukkan aktivitas penalaran proporsional sedangkan siswa perempuan mengenali bahwa jenis masalah tersebut merupakan situasi non-proporsional.This research is a qualitative research which aimed to describe the proportional reasoning of male and female students on solving mathematical problems. The subject of this research are two students, they are male and female students at IX grade of SMPN 2 Bangsal Mojokerto. This study begins by giving the Mathematical Ability Test (TKM) to get two subjects with similar mathematical abilities and then it continued with Proportional Reasoning Task (TPP) and interviews. The checking of the data validity using triangulation of time. The results of this study showed that in the reasoning of proportional component, there is activity of the male and female students in 1) understand covariation, 2) recognize proportional and non-proportional situations, 3) apply multiplicative strategies and 4) understand terms of use of ratios, when resolving type problems "missing value". For the type of "numerical comparison" problem, only male student showed proportional reasoning activities whereas female students recognize that the type of problem as a non-proportional situation.

show abstract

How do indonesian sixth grader students make sense of directproportion: a closer look at student with mathematics anxiety

Ambarwati

Safrida

Albirri

et al. 2019

IOP Conf. Ser.: Earth Environ. Sci.

View full text Add to dashboard Cite

6th grade students’ use of different strategies in solving ratio and proportion problems

Cited by 8 publications

References 7 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

Penalaran Proporsional Siswa SMP Kelas IX dalam Menyelesaikan Masalah Matematika ditinjau dari Gender

How do indonesian sixth grader students make sense of directproportion: a closer look at student with mathematics anxiety

Contact Info

Product

Resources

About