scholarly journals On-line assessment of the process involved in maths problem-solving in fifth and sixth grade students: self-regulation and achievement

2016 ◽  
Vol 19 (2) ◽  
pp. 165-186 ◽  
Author(s):  
Trinidad García ◽  
Lucy Betts ◽  
Paloma González-Castro ◽  
Julio Antonio González-Pienda ◽  
Celestino Rodríguez
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Self Regulation ◽  
Sixth Grade ◽  
Total Sample ◽  
Success Rates ◽  
Northern Spain ◽  
Self Regulated Learning ◽  
Sixth Grade Students ◽  
Learning Principles

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.

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

2010 ◽  
pp. 232-247 ◽  
Author(s):  
Bracha Kramarski
Keyword(s):  
Problem Solving ◽  
Mathematical Reasoning ◽  
Mathematical Problem ◽  
Self Regulation ◽  
Sixth Grade ◽  
Mathematical Problem Solving ◽  
Social Feedback ◽  
Self Regulated Learning ◽  
Metacognitive Teaching ◽  
Online Feedback

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.

scholarly journals Analysis of Junior High School Students’ Problem-solving Ability Reviewed from Self-regulated Learning

2017 ◽  
Vol 2 (1) ◽  
pp. 51
Author(s):  
A S Bayuningsih ◽  
B Usodo ◽  
S Subanti
Keyword(s):  
High School ◽  
High School Students ◽  
Problem Solving ◽  
Junior High School ◽  
Mathematical Problem ◽  
Self Regulation ◽  
Junior High School Students ◽  
School Students ◽  
Self Regulated Learning ◽  
Regulated Learning

<p class="Abstract">Problem-solving ability in mathematics is a primary means to understand a problem and develop the students ' ability in solving a problem. Step in solving problems are categorized to understanding the problem, devising a plan, carrying out the plan and reflection. This research used a descriptive method aimed to identify the problem-solving ability among junior high school students and review from students self-regulated learning (SRL).The subjects of the research were taken by one student in each SRL category (high, medium, and low) which then given the problem-solving test and the result was triangulated by interview. Based on the research, it can be stated that the students with high self-regulation can solve a mathematical problem by applying first indicator, the second indicator, third indicator, but they cannot apply the fourth indicator. The students with medium self-regulation can apply the first indicator and second indicator while they are still having the problem in third indicator and fourth indicator. The students with low category self-regulation cannot apply all of those in solving the mathematical problem.</p>

scholarly journals THE EFFECT OF SELF-REGULATED LEARNING ON STUDENTS’ PROBLEM-SOLVING ABILITIES

2021 ◽  
Vol 10 (2) ◽  
pp. 927
Author(s):  
Sri Rahayuningsih ◽  
Muhammad Hasbi ◽  
Mulyati Mulyati ◽  
Muhammad Nurhusain
Keyword(s):  
Problem Solving ◽  
Cognitive Processes ◽  
Mixed Method ◽  
Mathematical Problem ◽  
Self Regulation ◽  
Mathematical Problem Solving ◽  
Self Regulated Learning ◽  
Mixed Method Design ◽  
Regulated Learning ◽  
Literacy Ability

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. 

Generic Versus Context-Specific Prompts for Supporting Self-Regulation in Mathematical Problem Solving Among Students With Low or High Prior Knowledge

2013 ◽  
Vol 12 (2) ◽  
pp. 197-214 ◽  
Author(s):  
Bracha Kramarski ◽  
Itzhak Weiss ◽  
Sarit Sharon
Keyword(s):  
Problem Solving ◽  
Prior Knowledge ◽  
Mathematical Problem ◽  
Self Regulation ◽  
Mathematical Problem Solving ◽  
Question Prompts ◽  
Self Regulated Learning ◽  
Regulated Learning ◽  
High Prior Knowledge ◽  
Context Specific

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.

Differentiated instruction enhances sixth-grade students' mathematics self-efficacy, learning motives, and problem-solving skills

2020 ◽  
Vol 48 (6) ◽  
pp. 1-13
Author(s):  
Chih-Pin Lai ◽  
Wanpeng Zhang ◽  
Yu-Liang Chang
Keyword(s):  
Problem Solving ◽  
Differentiated Instruction ◽  
Self Efficacy ◽  
Mathematics Learning ◽  
Mathematical Problem ◽  
Sixth Grade ◽  
Mediating Effect ◽  
Problem Solving Skills ◽  
Sixth Grade Students ◽  
Mathematics Self Efficacy

We examined the effectiveness of a differentiated instruction intervention in promoting 6th grade students' mathematics self-efficacy (MSE), mathematics learning motives (MLM), and mathematical problem-solving skills (MPSS). The relationships among MSE, MLM, and MPSS were also assessed. We employed a longitudinal approach with a pretest and posttest design with 25 students, and used 3 instruments for quantitative data collection. Findings showed that the application of the differentiated instruction learning environment was significantly beneficial in advancing the students' MSE, MLM, and MPSS. In addition, MSE significantly predicted MLM and MPSS, such that the mediating effect of MLM on the effect of MSE on MPSS was partial. This finding shows that the stronger the MSE of 6th grade students is, the better their MLM are, which, in turn, advance their MPSS.

scholarly journals The Role of Mental Effort in Fostering Self-Regulated Learning with Problem-Solving Tasks

2020 ◽  
Vol 32 (4) ◽  
pp. 1055-1072 ◽  
Author(s):  
Tamara van Gog ◽  
Vincent Hoogerheide ◽  
Milou van Harsel
Keyword(s):  
Problem Solving ◽  
Self Regulation ◽  
Mental Effort ◽  
Future Research ◽  
Task Sequence ◽  
Self Monitoring ◽  
Self Regulated Learning ◽  
Regulated Learning ◽  
And Mathematics

Abstract Problem-solving tasks form the backbone of STEM (science, technology, engineering, and mathematics) curricula. Yet, how to improve self-monitoring and self-regulation when learning to solve problems has received relatively little attention in the self-regulated learning literature (as compared with, for instance, learning lists of items or learning from expository texts). Here, we review research on fostering self-regulated learning of problem-solving tasks, in which mental effort plays an important role. First, we review research showing that having students engage in effortful, generative learning activities while learning to solve problems can provide them with cues that help them improve self-monitoring and self-regulation at an item level (i.e., determining whether or not a certain type of problem needs further study/practice). Second, we turn to self-monitoring and self-regulation at the task sequence level (i.e., determining what an appropriate next problem-solving task would be given the current level of understanding/performance). We review research showing that teaching students to regulate their learning process by taking into account not only their performance but also their invested mental effort on a prior task when selecting a new task improves self-regulated learning outcomes (i.e., performance on a knowledge test in the domain of the study). Important directions for future research on the role of mental effort in (improving) self-monitoring and self-regulation at the item and task selection levels are discussed after the respective sections.

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