Metacognition and Meta-Affect in Young Students: Does it Make a Difference in Mathematical Problem Solving?

2017 ◽  
Vol 119 (13) ◽  
pp. 1-26
Author(s):  
Meirav Tzohar-Rozen ◽  
Bracha Kramarski
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Self Regulation ◽  
The Self ◽  
Mathematical Problem Solving ◽  
Control Group ◽  
Affective Reactions ◽  
Thinking Aloud ◽  
Young Students ◽  
The Impact

Mathematical problem solving is one of the most valuable aspects of mathematics education and the most difficult for elementary school students. Cognitive and metacognitive difficulties in this area cause students to develop negative attitudes and emotions as affective reactions, hampering their efforts and achievements. These metacognitive and meta-affective reactions are fundamental aspects of self-regulated learning (SRL), a non-innate process that requires systematic, explicit student training. This study investigated the impact of two self-regulation programs among young students (Grade 5)—metacognition (n = 64) and meta-affect (n = 54) versus a control group (n =53)—on enhancing achievements in mathematical verbal problem solving and a novel transfer task, as well as metacognitive and meta-affective regulation processes of a focus group during a thinking-aloud solution. Mixed methods indicate that students who participated in the metacognitive and meta-affective intervention programs presented similar but higher achievements than the control group. Additionally, during the thinking-aloud solution, students from each group broadly implemented the self-regulation processes they were trained in, while consistently referring to all the self-regulation phases. The current study makes an important contribution to practical implications for students with diverse abilities.

scholarly journals PERBEDAAN PENINGKATAN KEMAMPUAN PEMECAHAN MASALAH MATEMATIS DENGAN PENDEKATAN CONTEXTUAL TEACHING AND LEARNING DI KELAS X SMA NEGERI 2 PEMATANGSIANTAR

2020 ◽  
Vol 1 (2) ◽  
pp. 85-96
Author(s):  
Winmery Lasma Habeahan
Keyword(s):  
Problem Solving ◽  
Teaching And Learning ◽  
Mathematical Problem ◽  
Equation System ◽  
Mathematical Problem Solving ◽  
Control Group ◽  
Contextual Approach ◽  
Control Group Design ◽  
Contextual Teaching ◽  
The Difference

The purpose of this study was to determine the differences in the improvement of students' mathematical problem-solving abilities with the Contextual Teaching and Learning approach in the material of the two-variable linear equation system in class X SMA Negeri 2 Pematangsiantar. This study used an experimental method with the aim of being in accordance with the previous statement to determine the difference in students' mathematical problem-solving abilities with a contextual approach and an expository approach, with a randomized pretest-posttest control group design. The average increase in problem-solving abilities in the control class was 0.1688 while the increase in problem-solving abilities in the experimental class was 0.0085. By using the t-test (SPSS), with a value of Fcount = 10.907 and a significant level of 0.05, a significant probability is obtained 0.002 <0.05, it can be concluded that there is a difference in normalized gain or an increase in problem-solving ability with conventional and contextual approaches. Based on the average gain of the control and experimental classes, the increase in the control class using the conventional approach is higher than the experimental class with the contextual approach. The difference in increasing problem-solving abilities in conventional classrooms is possible due to differences in students' entry-level abilities, which can be seen in the average pretest of each class.

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 Peningkatan Kemampuan Pemecahan Masalah Matematis dan Kemandirian Belajar Siswa Menggunakan Model Pembelajaran Means End Analysis

2019 ◽  
Vol 8 (3) ◽  
pp. 435-446
Author(s):  
Nur Asih ◽  
Sendi Ramdhani
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Sampling Technique ◽  
Learning Model ◽  
Mathematical Problem Solving ◽  
Control Group ◽  
Control Group Design ◽  
Purposive Sampling ◽  
Group Design ◽  
Better Than

AbstrakTujuan penelitian adalah untuk mengetahui apakah peningkatan kemampuan pemecahan masalah matematis siswa yang menggunakan model pembelajaran Means End Analysis (MEA) lebih baik dari pada konvensional, untuk mengetahui sikap kemandirian belajar siswa terhadap pembelajaran matematika menggunakan model pembelajaran Means End Analysis (MEA), dan untuk mengetahui hambatan siswa dalam menyelesaikan soal-soal kemampuan pemecahan masalah matematis. Metode penelitiannya adalah eksperimen kuasi dan desain penelitiannya Nonequivalent control group design. Populasi dalam penelitian ini adalah seluruh siswa kelas XI SMA PASUNDAN CIKALONGKULON dengan sampel sebanyak dua kelas. Teknik pengambilan sampel menggunakan teknik purposive sampling. Kelas XI MIPA-3 sebagai kelas eksperimen dan kelas XI MIPA-1 sebagai kelas kontrol. Instrumen berupa tes kemampuan pemecahan masalah matematis, angket dan wawancara. Berdasarkan hasil analisis data, peningkatan kemampuan pemecahan masalah matematis siswa yang menggunakan model pembelajaran Means End Analysis (MEA) lebih baik dari konvensional. Hasil angket siswa kelas XI MIPA-3 memperoleh hasil hampir seluruhnya positif respon siswa terhadap model pembelajaran Means End Analysis (MEA).Kata Kunci: Kemandirian, MEA, Pemecahan Masalah Matematis. Increased Mathematical Problem Solving Ability and Student Learning Independence Using the Means-End Analysis Learning Model AbstractThe purpose of this research is to find out whether the improvement of students 'mathematical problem-solving abilities using the Means-End Analysis (MEA) learning model is better than conventional learning, to determine the attitudes of students' learning independence towards mathematics learning using the Means-End Analysis (MEA) learning model, and to find out the obstacles of students in solving problems mathematical problem solving abilities. The research method is a quasi-experiment and the research design is Nonequivalent control group design. The population in this study were all students of class XI SMA PASUNDAN CIKALONGKULON with a sample of two classes. The sampling technique uses a purposive sampling technique. Class XI MIPA-3 as an experimental class and class XI MIPA-1 as a control class. The instruments were in the form of tests of mathematical problem-solving abilities, questionnaires, and interviews. Based on the results of data analysis, the improvement of students' mathematical problem-solving abilities using the Means-End Analysis (MEA) learning model is better than conventional. The results of the XI MIPA-3 class questionnaire obtained almost entirely positive student responses to the Means-End Analysis (MEA) learning model.Keywords: Independence, MEA, Mathematical Problem Solving.

scholarly journals Teaching to Self-Regulate in Mathematics: A Quasi-Experimental Study with Low-Achieving Elementary School Students

2021 ◽  
Vol 23 ◽  
pp. 1-13
Author(s):  
Daniel Trias Seferian ◽  
Cindy Mels Auman ◽  
Juan Antonio Huertas Martínez
Keyword(s):  
Experimental Study ◽  
Elementary School Students ◽  
Mathematical Problem ◽  
Self Regulation ◽  
Mathematical Problem Solving ◽  
Control Group ◽  
School Students ◽  
Low Achieving Students ◽  
Quasi Experimental ◽  
Regulation Strategies

Teaching students to self-regulate enhances their mathematics performance, yet few studies have investigated the long-term differential impact of particular self-regulation strategies specifically for low-achieving students. This quasi-experimental study evaluates the effect of teaching different self-regulation strategies on mathematical problem solving in low-achieving students. The participants were 69 sixth-grade elementary school students randomly assigned to one of three experimental groups (and taught predominantly cognitive, metacognitive or volitional strategies, while verifying intervention fidelity) or a control group for 16 sessions. Mathematical problem-solving skills were evaluated prior to the intervention, upon completion, and two months later. While all three intervention groups obtained significantly better results compared to the control group immediately after the intervention, volitional and metacognitive strategies showed the strongest and most lasting positive effects. We conclude that low-achieving students could benefit from learning self-regulation strategies, particularly when these strategies take into account the affective and motivational dynamics of learning.

scholarly journals Mathematical Problem Solving Capabilities: The Impact of Search Solve Create Share and Think Pair Share learning models on Logarithmic Lesson

2020 ◽  
Vol 11 (1) ◽  
pp. 159-166
Author(s):  
Syahfitri Purnama ◽  
Muawanah Muawanah ◽  
Tista Maya Surati ◽  
Rika Septianingsih
Keyword(s):  
Problem Solving ◽  
Quantitative Study ◽  
Mathematical Problem ◽  
Learning Model ◽  
Mathematical Problem Solving ◽  
P Value ◽  
Learning Models ◽  
Significance Level ◽  
The Impact ◽  
Better Than

A learning can run well supported by an appropriate learning model. In this study the Search Solve Create Share (SSCS) and Think Pair Share (TPS) learning models are used. This research is a quantitative study using t test. The purpose of this study is to study whether there are differences between the SSCS learning model and the TPS learning model on students' mathematical problem solving abilities. This research is a quantitative study with a research design. Random Design Group Pretest-Posttest Group. The results of this study obtained a P-value smaller than the significance level. Hypothesis testing from this study provides conclusions about the TPS learning model better than the SSCS learning model in improving students' mathematical problem solving abilities.

scholarly journals PENGARUH PENGGUNAAN MODEL PEMBELAJARAN MASTERY LEARNING (BELAJAR TUNTAS) TERHADAP KEMAMPUAN PEMECAHAN MASALAH MATEMATIKA SISWA KELAS X SMA ‘AISYIYAH 1 PALEMBANG

2018 ◽  
Vol 6 (1) ◽  
pp. 81-92
Author(s):  
Eliza Ayu Pratiwi ◽  
Amir Rusdi ◽  
Agustiany Dumeva Putri
Keyword(s):  
High School ◽  
Problem Solving ◽  
Random Sampling ◽  
Mastery Learning ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Control Group ◽  
Control Group Design ◽  
Group Design ◽  
Cluster Random Sampling

Penelitian ini bertujuan untuk mengetahui pengaruh penggunaan model pembelajaran mastery learning (belajar tuntas) terhadap kemampuan pemecahan masalah matematika siswa dikelas X SMA ‘Aisyiyah 1 Palembang. Jenis penelitian yang digunakan adalah true exprimental design dengan desain pretest – posttest control group design, populasi yang digunakan adalah seluruh siswa kelas X yang ada di SMA ‘Aisyiyah 1 Palembang tahun ajaran 2015/2016. Penelitian ini mengambil dua kelas sebagai sampel yang diambil dengan menggunakan teknik cluster random sampling yaitu kelas X4 dengan jumlah 37 siswa sebagai kontrol dan kelas X1 berjumlah 37 siswa sebagai kelas ekprimen. Pengumpulan data dilakukan dengan menggunakan instrumen berupa tes kemampuan pemecahan masalah matematika dan observasi kepada siswa. Data yang diperoleh dari hasil tes digunakan untuk menguji hipotesis penelitian dengan menggunakan uji-t. Dari hasil analisis diperoleh bahwa terdapat pengaruh positif penggunaan model pembelajaran mastery learning (belajar tuntas) terhadap kemampuan pemecahan masalah matematika siswa dan hasil rata-rata observasi aktivitas kemampuan pemecahan masalah matematika siswa sebesar 74.This research aims to determine the effect of using the mastery learning models to the mathematical problem solving ability of first grader of 'Aisyiyah 1’s Senior High School Palembang. The type of this research is the true experimental design with the design pretest - posttest control group design, the populations are all first grader of 'Aisyiyah 1’s Senior High School Palembang 2015/2016. This research took two classes as a samples by using the cluster random sampling technique. The classes are X4 with 37 students as a control and X1 with 37 students as a experiment class. The research was conducted of eight meetings. The collection of datas are done by using an instrument which are mathematical problem solving ability test and observation to students. The datas obtained from the test are used to test the research hypothesis by using t-test. From the analysis, this shows that there is positive effect of using the mastery learning to the mathematical problem solving abilities of students and the average result of observation the ability mathematical problem solving is 74.

scholarly journals Teaching to Self-Regulate in Mathematics: A Quasi-Experimental Study with Low-Achieving Elementary School Students

2021 ◽  
Vol 23 ◽  
pp. 1-13
Author(s):  
Daniel Trias Seferian ◽  
Cindy Mels Auman ◽  
Juan Antonio Huertas Martínez
Keyword(s):  
Experimental Study ◽  
Elementary School Students ◽  
Mathematical Problem ◽  
Self Regulation ◽  
Mathematical Problem Solving ◽  
Control Group ◽  
School Students ◽  
Low Achieving Students ◽  
Quasi Experimental ◽  
Regulation Strategies

Teaching students to self-regulate enhances their mathematics performance, yet few studies have investigated the long-term differential impact of particular self-regulation strategies specifically for low-achieving students. This quasi-experimental study evaluates the effect of teaching different self-regulation strategies on mathematical problem solving in low-achieving students. The participants were 69 sixth-grade elementary school students randomly assigned to one of three experimental groups (and taught predominantly cognitive, metacognitive or volitional strategies, while verifying intervention fidelity) or a control group for 16 sessions. Mathematical problem-solving skills were evaluated prior to the intervention, upon completion, and two months later. While all three intervention groups obtained significantly better results compared to the control group immediately after the intervention, volitional and metacognitive strategies showed the strongest and most lasting positive effects. We conclude that low-achieving students could benefit from learning self-regulation strategies, particularly when these strategies take into account the affective and motivational dynamics of learning.

scholarly journals Peningkatan Kemampuan Pemecahan Masalah dan Berpikir Kritis Matematis Siswa melalui Pendekatan Metakognitif

2018 ◽  
Vol 5 (2) ◽  
pp. 53-64 ◽  
Author(s):  
Ainuna Fasha ◽  
Rahmah Johar ◽  
M. Ikhsan
Keyword(s):  
Critical Thinking ◽  
Problem Solving ◽  
Design Research ◽  
Mathematical Problem ◽  
Thinking Skills ◽  
Mathematical Problem Solving ◽  
Control Group ◽  
Learning Approaches ◽  
Control Group Design ◽  
Problem Solving Skills

Mathematical problem solving and critical thinking is two skills that need to be improved through learning mathematics. Metacognitive approach is one approach to improve them. This study aims to examine differences in the improvement of problem solving skills and mathematical critical thinking between students who get learning with a metacognitive approach and students who get conventional learning. This research is an experimental study with a pre-test post-test control group design research design. The population was all students of class XI of SMAN 3 Banda Aceh by taking samples of two classes, namely the experimental class and the control class through purposive sampling technique. Data collection was carried out using problem solving ability tests and mathematical critical thinking tests. Data analysis used t-test and analysis of variance. The results show that overall the improvement of students' mathematical problem solving and critical thinking skills that are learning with a metacognitive approach are better than students who obtain conventional learning, and there is an interaction between learning approaches and student ratings on mathematical problem-solving abilities

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