The relation to operands (RO) principles describe the relation between operands and answers in arithmetic problems (e.g., the sum is always larger than its positive addends). Despite being a fundamental property of arithmetic, its empirical relation with arithmetic/algebraic problem solving has seldom been investigated. The current longitudinal…

Students' understanding of the meaning of the equal sign develops slowly over the primary grades. In addition to updating their representations of equations to recognize that the equal sign represents an equivalence relation rather than signaling an operation, students need to move beyond full computation to efficiently solve equivalence problems.…

The learning model used by educators only transmits knowledge and does not provide opportunities for students to interact, causing them to lose time to develop their experience in the collaborative learning process. This research aims to improve collaboration skills by implementing a problem-based learning model in grade IV elementary school. The…

This study focuses on the relationship between an autonomy-supportive classroom climate and changes in attitudes towards social participation in mixed-grade classes. The research field involved the learning activities conducted in a Japanese elementary school. Learning activities were carried out in mixed-grade classes, and the children engaged in…

In the 21st - century skills - oriented education, this study aims to bridge the gap in traditional mathematics teaching, which often addresses teamwork and problem - solving skills independently. It focuses on designing and assessing an integrated instructional model using Problem - Based Learning (PBL) via Collaborative Learning (CL) to equip…

This study examined how word-problem characteristics influenced students' learning and retention of word-problem knowledge during and after an intervention. The participants were 221 fourth-grade students (average age at pretest = 8.8 years) who experienced word-problem difficulties (WPD) and had received a word-problem intervention in third…

The purpose of this study was to analyze the performances of students in solving problems presented in different forms including equations, verbal equations, stories, and stories supported by diagrams in problem-solving. A descriptive survey model was employed in the study. The study group consisted of 14 fourth-grade students. Data were collected…

This study aimed to develop an analytical rubric for teachers to observe and evaluate students' performance in showcasing the cooperative problem-solving process. Thus, a rubric was prepared. Angles to evaluate the student performance were included and a quad rank scale was used in the rubric. Dimensions used in the rubric were based on the PISA…

The present research focuses on analyzing how fourth-grade elementary school students (ages 9 to 10) solve and interpret the result of non-routine problems, precisely division measurement and division-partition with remainder. The methodology is qualitative, with a descriptive and interpretative approach. The information was collected using a…

The aim of the study is to find out the problem-solving strategies used by primary school 3rd and 4th-graders in solving non-routine problems. The basic qualitative research design, one of the qualitative research approaches, was used in the research. The participants of the research consisted of 216 students, 104 of them in the third-grade and…

Predicting the actual performance of strategy use with self-report questionnaires is difficult, especially among elementary school children. Nevertheless, due to the simplicity of self-report questionnaires, it is desirable to identify one that can predict children's performance of actual strategy use. This study investigated whether a self-report…

This study investigated the relationship between primary school students' mathematics motivation and problem-solving skills in mathematics. A total of 429 students were selected through convenience sampling, using a relational survey model. Data were collected using the Mathematics Problem-solving Achievement Test and the Mathematics Course…

This study investigated the extent to which domain-general and domain-specific antecedents contributed to pre-algebra's initial level and growth rate among students who experience word-problem difficulty (WPD). We examined if such a profile differs for English-language learners (ELLs; n = 75) and non-ELLs (n = 55) with WPD. We assessed 130 U.S.…

Problem-solving skills are required to solve difficulties encountered in daily life. These skills are important but rarely mastered by fourth grade elementary school students. One explanation for this is that the learning tools have not been specifically designed to help pupils develop their problem-solving skills. The purpose of this research and…

Considering problem-solving ability as an important qualification in the 21st century that could be developed by instructional methods that allow learners to construct their knowledge via questioning through cooperative learning activities, we conducted action research with the purpose of investigating the effectiveness of inquiry-based and…