Mathematical beliefs and metacognitive knowledge play significant roles in solving mathematical problems; thus, this study aims to investigate the influence of middle school students' beliefs on their metacognitive knowledge when solving geometry problems. This study utilizes both quantitative and qualitative research methods. A linear regression…

Seeds of Algebraic Thinking comes from the Knowledge in Pieces (KiP) perspective of learning. KiP is a systems approach to learning that stems from the constructivist idea that people learn by building on prior knowledge. As people experience the world, they acquire small, sub-conceptual knowledge elements. When people engage in a particular…

Decision-making is one of the important skills that must be possessed by students in the 21st century. One of the topics that require the right decision to be made for each challenge and the impact it will cause is climate change which has already occurred. This study aimed to find out how students' decision-making and the importance of improving…

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),…

This study investigated how visual attention differed between students who hold scientific knowledge and those who have misconceptions. We analyzed visual fixations of 98 middle students on problems containing information relevant to scientific knowledge and common misconceptions. It showed that students who acquired scientific concepts paid more…

The aim of this study is to determine the distribution of the questions in an 8th grade mathematics textbook in terms of the categories (mathematical content, mathematical literacy contexts, mathematical processes, PISA mathematics proficiency scale levels, and item types) within the PISA mathematics literacy framework. Investigation of the…

Prior research highlights a positive effect of incorrect worked examples on mathematics learning. Yet the mechanisms underlying these benefits are unclear. To investigate potential mechanisms of the benefits of various worked example types, we examined process data from a previously published classroom-based experiment. More specifically, we…

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…

This study investigates the impact of the problem-based learning (PBL) model on middle school students' environmental literacy and problem-solving skills. A quantitative research study was conducted using a quasi-experimental design for this aim. The sample comprises 114 8th-grade students from a public middle school in Sanliurfa, Turkey. Four…

One pedagogical technique that promotes conceptual understanding in mathematics learners is self-explanation integrated with worked examples (e.g., Rittle-Johnson et al., 2017). In this work, we implemented self-explanations with worked examples (correct and erroneous) in a software-based Intelligent Tutoring System (ITS) for learning algebra. We…

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.…

The study was designed to investigate the impact of First Principles of Instruction (FPI) with computer animation and chart, and their functional effect on gender to acquire expertise in science in Junior High School (JHS). The content for the treatments was selected from JHS integrated science syllabus. The contents of the instructional media…

Grades 4 and 8 students had shown slow but steady improvement in scores on the National Assessment of Educational Progress (NAEP) mathematics assessment from 1990 until 2013, but performance since then has been lower despite the introduction of the Common Core State Standards for Mathematics (CCSSM) in the early 2010s. This study examined student…

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…