Supporting students in becoming effective problem solvers is a critical component of K-12 mathematics instruction. Unfortunately, little is known about the factors that are related to problem solving proficiency in middle school students. We report the results of a study that employed a hierarchical linear regression analysis to examine the…

This study examined whether learning with heuristic worked examples can improve students' competency in solving reality-based tasks in mathematics (mathematical modeling competency). We randomly assigned 134 students in Grade 5 and 180 students in Grade 7 to one of three conditions: control condition (students worked on reality-based tasks),…

Research on active learning that emphasises question formulation activities has received less attention. This study was conducted to address the said gap identified in the literature by testing the thinking empowerment by questioning (TEQ) strategy on the level of conceptual understanding (CK) and critical thinking (CT) of students in Biology…

Many studies have incorporated concept maps into digital games to enable learners to make connections between subject concepts in the game. However, most learners do not associate spontaneously with the thematic concepts in the game but need to be facilitated by effective scaffolding mechanisms to reconceptualize the learning process and content.…

Background: Adaptive expertise is a highly valued outcome of mathematics curricula. One aspect of adaptive expertise with rational numbers is adaptive rational number knowledge, which refers to the ability to integrate knowledge of numerical characteristics and relations in solving novel tasks. Even among students with strong conceptual and…

To efficiently solve mathematical expressions and equations, students need to notice the systemic structure of mathematical expressions (e.g., inverse relation between 3 and 3 in 3 + 5 - 3). We examined how symbols--specifically variables versus numbers--and students' algebraic knowledge impacted seventh graders' problem-solving strategies and use…

The question posed in this analysis is: What is the relationship between text-centered dialogue and reading comprehension? This article examines one student's behaviors while reading challenging texts. This qualitative case study explored the verbal behaviors of Robert (pseudonym), a seventh-grade student receiving reading intervention. As his…

There exist many studies on modeling competencies and their promotion; however, there is a need to investigate what modeling competencies are and how they vary in lower and higher-achieving groups of students in mathematics within the current modeling literature domain. This study examined how mathematical modeling competencies were displayed in…

The equal symbol has been used in diverse mathematical frameworks, such as arithmetic, algebra, trigonometry, set theory, and so on. In mathematical terms, the equal sign has been used in fixed command of standings. The study reports on the students meaning and interpretations of the equal sign. The study involved Grade 6, 7, and 8 students in a…

This study investigated the effectiveness of inquiry-based learning (IBL) approach in ratio and proportion on the mathematics reasoning skill of seventh-grade students. The study was carried out in a seventh-grade mathematics course in a middle school located in the Central Anatolia region of Turkey during the 2016-2017 academic year. The IBL…

Measuring teachers' skills and competencies is necessary to ensure teacher quality and contribute to education quality. Research has shown teachers competencies and skills influence students' performances. Previous studies explored teachers' knowledge through testing. Teachers' knowledge of the topic of area-perimeter and teaching strategies has…

Cognitive load theory was used to hypothesize that the effectiveness of collaborative learning is moderated by the completeness of the prerequisite knowledge bases of group members. It was predicted that when group members have gaps in their knowledge base that can be filled by other group members, collaborative is superior to individual learning.…

In order to interpret students' attitudes about mathematics, Vesife Hatisaru asks: What do students find necessary or useful in learning mathematics? And what are the connections between their perceived needs for mathematics and their attitudes, views and feelings about mathematics? In this article, she provides evidence on these critical issues…

As a part of the larger study, a case study of two seventh grade students, Peter and Willa, was conducted. To examine links between their fractional knowledge and algebraic reasoning, the students were interviewed twice, once for their fractional knowledge and once for their algebraic knowledge in writing linear equations that required explicit…

Studies have indicated the importance of scaffolding in the problem-solving process, as well as the potential of integrating learning content into the troubleshooting tasks. However, few have explored in depth the learning process during troubleshooting via scaffolds while also taking students' cognitive load into account. To address this issue,…