Assessing Self-regulation Development through Sharing Feedback in Online Mathematical Problem Solving Discussion

Author(s):  
Bracha Kramarski

This study examined the relative efficacies of two different metacognitive teaching methods – problem solving (M_PS) and sharing knowledge (M_SK). Seventy-two Israeli sixth-grade students engaged in online mathematical problem solving and were each supported using one of the two aforementioned methods. M_PS students used a problem-solving and feedback process based on the IMPROVE model (Kramarski & Mevarech, 2003). In contrast, M_SK participants were instructed to reflect and provide feedback on the solution without an explicit model. This study evaluated each method‘s impact on the students’ mathematical online problem solving. It also examined self-regulated learning (SRL) processes by assessing students‘ online feedback using a rubric scheme. Findings indicated that M_PS students outperformed the M_SK students in algebraic knowledge and mathematical reasoning, as well as on various measures of sharing cognitive and metacognitive feedback. The M_SK students outperformed the M_PS students on measures of sharing motivational and social feedback.

2021 ◽  
Vol 10 (2) ◽  
pp. 927
Author(s):  
Sri Rahayuningsih ◽  
Muhammad Hasbi ◽  
Mulyati Mulyati ◽  
Muhammad Nurhusain

Abstract The present study aimed to 1) investigate the effect of self-regulated learning on students’ mathematical problem-solving ability; 2) describe the cognitive processes carried out by students with low and high self-regulation and high problem-solving ability. This study employed an explanatory mixed-method design. Nineteen students at a private high school, in Makassar, Indonesia, were selected, in order to complete the questionnaire, mathematical problem-solving ability test. Of the 19 students, two were selected as research subjects representing problem-solving ability. The quantitative data were analyzed using descriptive statistics and inferential statistics, while the qualitative data analysis had to go through the following stages including, reduction, data display, and conclusion drawing. The results showed that 1) self-regulated learning had no effect on students’ mathematical ability; 2) the cognitive processes carried out by students with high self-regulation and high problem-solving ability included high literacy ability, high metacognitive awareness, being proactive yet inflexible; 3) the cognitive processes carried out by students with low self-regulation and high problem-solving ability included low literacy ability but showing more flexible attitudes. From this study, it can be concluded that problem-solving ability is not influenced by self-regulated learning, but by other factors such as the environment, cognitive ability and cognitive preparedness. Keywords: Problem-solving ability; self-regulated learning. Abstract Penelitian ini bertujuan untuk 1) menginvestigasi pengaruh self-regulated learning terhadap kemampuan pemecahan masalah matematis siswa; 2) mendeskripsikan proses kognitif yang dilakukan siswa dengan self-regulation rendah dan tinggi dan kemampuan pemecahan masalah tinggi. Penelitian ini menggunakan explanatory mixed-method design. Sembilan belas siswa sekolah menengah swasta, di Makassar, Indonesia, dipilih untuk mengisi angket tes kemampuan pemecahan masalah matematika. Dari 19 siswa tersebut, dipilih dua orang sebagai subjek penelitian yang mewakili kemampuan pemecahan masalah. Data kuantitatif dianalisis menggunakan statistik deskriptif dan statistik inferensial, sedangkan analisis data kualitatif melalui tahapan yaitu, reduksi data, menampilkan data, penarikan Kesimpulan. Hasil penelitian menunjukkan bahwa 1) self-regulated learning tidak berpengaruh terhadap kemampuan matematika siswa; 2) proses kognitif yang dilakukan siswa dengan self-regulated learning tinggi dan kemampuan pemecahan masalah tinggi meliputi kemampuan literasi tinggi, kesadaran metakognitif tinggi, proaktif namun tidak fleksibel; 3) Proses kognitif yang dilakukan siswa dengan self-regulated learning rendah dan kemampuan pemecahan masalah tinggi meliputi kemampuan literasi rendah tetapi menunjukkan sikap lebih fleksibel. Dari penelitian ini dapat disimpulkan bahwa kemampuan pemecahan masalah tidak dipengaruhi oleh self-regulated learning, melainkan oleh faktor lain seperti lingkungan, kemampuan kognitif, dan kesiapan kognitif. Keywords: Kemampuan pemecahan masalah, self-regulated learning. 


Author(s):  
Trinidad García ◽  
Lucy Betts ◽  
Paloma González-Castro ◽  
Julio Antonio González-Pienda ◽  
Celestino Rodríguez

The aim of this study was to test a method to assess the processes involved in mathematical problem solving, based on the Triple Task methodology and Self - Regulated Learning principles. This protocol was administered to 510 fifth and sixth grade students from Northern Spain, who carried out two mathematical tasks of varying difficulty. The results derived from the total sample indicated the presence of ineffective planning strategies and a lack of revision mechanisms. However, comparisons between groups with different achievement in the tasks revealed the sub - processes involved in planning (especially the use of representation strategies) as important determining factors in students' success rates, with these exerting a greater effect as task - difficulty increased.


2013 ◽  
Vol 12 (2) ◽  
pp. 197-214 ◽  
Author(s):  
Bracha Kramarski ◽  
Itzhak Weiss ◽  
Sarit Sharon

We compared how 61 seventh graders, with low or high prior knowledge in mathematics, capitalized on two self-regulated learning approaches—generic versus context specific—to (a) enhance self-regulated learning, (b) foster procedural knowledge of routine algebraic tasks, and (c) transfer knowledge to novel mathematical problem solving. The generic approach was based on “IMPROVE” question prompts for comprehension, connection, strategy, and reflection modeled in a free context. The context-specific approach was based on what, when, why, and how (WWWH) question prompts directed explicitly to specific examples in a particular mathematical content area. Findings indicated no difference between the two approaches regarding short-term effects on algebraic procedural tasks; however, differential effects emerged between the two approaches on the self-regulation measure and on long-term transfer to novel tasks (near and far) among students with low or high prior knowledge. The practical and scientific significance of this study are discussed.


2003 ◽  
Vol 95 (2) ◽  
pp. 306-315 ◽  
Author(s):  
Lynn S. Fuchs ◽  
Douglas Fuchs ◽  
Karin Prentice ◽  
Mindy Burch ◽  
Carole L. Hamlett ◽  
...  

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