This study investigated the performance of 790 fourth graders from Taiwan for judging the reasonableness of a computational result by using corresponding methods pertaining to whole numbers. A number-sense web-based two-tier diagnostic test was used to assess the number-sense performance of the fourth graders who participated in this study. The…

Replication research provides evidence to establish, refute, or support evidence-based practices. Systematic replications are also necessary to determine "what works for whom when." The purpose of this study was to conduct a conceptual systematic replication to evaluate the effectiveness of a multicomponent treatment package on…

The purpose of this research study was to examine the effectiveness of culturally appropriate problem-solving instruction (CAPSI) incorporating elements from schema instruction, video modeling, and vocabulary instruction. Culturally relevant information and the students' native language were explicitly incorporated into math problem-solving…

In the context of quantum mechanics, students are often asked to use delta functions to solve problems. Here, we investigate three typical problem-solving processes using delta functions: a delta function potential well problem, a position space delta function problem, and a momentum space delta function problem. We studied students'solutions in…

Computational thinking and programming have emerged as central 21st-century skills. Several countries have embedded these skills in their school curricula. This study investigates how an optional programming course affects eighth-grade mathematical problem solving in Norway using a quasi-experimental design with pre- and post-tests. These tests…

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…

This paper extends work in the areas of quantitative reasoning and covariational reasoning at the undergraduate level. Task-based interviews were used to examine third-semester calculus students' reasoning about partial derivatives in five tasks, two of which are situated in a mathematics context. The other three tasks are situated in real-world…

Optimization is a vital mathematical concept widely applied in various engineering fields. However, teaching this subject to engineering students often involves abstract materials, making it challenging for them to grasp. To address this issue, a group of five mathematics lecturers collaborated on designing a practical lesson on optimization for…

The increasing and diversifying student enrollments in introductory physics courses make reliable, valid, and usable instruments for measuring student skills and gains ever more important. In introductory physics, in addition to teaching facts about mechanics, we also seek to teach our students the skills of "thinking like a physicist,"…

This paper examined the problem-solving and problem-posing skills of middle school students in terms of whether the factors of gender and school type have an impact, as well as to illustrate these skills with respect to grade levels. A total of 461 students from different middle school levels of both private and public schools participated in the…

This study tests a model that predicts the problem-posing performance of sixth-grade students (independent variable metacognition, mediator variables mathematics and native language course success scores at the end of the year). The research was conducted with the relational model. The results regarding the mediation effect indicated that the…

In order for future-oriented thinking skills to examine both cognitive and language skills, there is a need to examine the skill levels of professionals across various fields of education. The present study investigated the degree to which intermediate schoolteachers possess future thinking skills in the light of Program for International Student…

Purpose: The purpose of this research study is to explore simple collaborative technique for teaching mathematics and thus improving the problem solving skills of the students. Better pedagogic activities are required to motivate the students to perceive mathematics as a subject that stimulates problem-solving skills required for engineers.…

Problem-solving is an essential part of teaching, learning, and assessment of physics and mathematics. The continuing educational reforms have a deep impact on everyday teaching as well as working with talented students. In the Macedonian educational system, the curricula do not explicitly point out the connection between mathematics and physics,…

The mode of assessment is one of the most important factors influencing learning. E-assessment usually includes only checking the final answer, thus limiting teacher's ability to check the complete solution, and it does not allow inclusion of math proofs problems that constitute an important part of math content. The e-assessment module of Halomda…