In this paper, the multidigit arithmetic-related strategy adaptivity, strategy flexibility and solution accuracy of Danish compulsory school students is examined. Participants, 749 grade three, 731 grade six and 818 grade eight, were drawn from twenty demographically different schools. Drawing on a tri-phase assessment tool, each student completed…

Procedural flexibility is an important skill for algebra. Although prior work has focused on measuring students' procedural flexibility using arithmetic problems, word problems may also capture students' flexibility because of their open-ended nature. To date, no published study has examined the use of word problems as another measure of…

The need for improving and evaluating students' cognitive skills, including problem-solving, has been highlighted in both the mathematics education literature and the curricula worldwide. The objective of this study was to assess the problem-solving skills of lower secondary school students using a teacher-based evaluation method, taking into…

In this article, the role of digital feedback that was provided in an outdoor mathematics education setting is taken into consideration. Using the app MathCityMap (2020) in the context of a mathematics trail, the influence of positive and/or negative feedback is examined in relation to how it influences the processes of verification and…

This study sought to examine the effectiveness of math problem solving interventions with self-regulated learning (SRL) components on the math problem-solving performance of middle school students with disabilities. A meta-analysis was conducted of all single-case design studies meeting inclusion/exclusion criteria between 2000-2021, resulting in…

Developing self-regulated learning (SRL) skills among young adolescents is crucial for lifelong learning, and teachers play a vital role in fostering these skills. Problem-solving is a key SRL skill; however, both learners and teachers encounter challenges during the problem-solving process and in evaluating its incorporated strategies. To tackle…

The ability to solve complex problems successfully represents a key competence for students' educational success and beyond. While strategy application and metastrategic knowledge constitute two underlying components that drive successful complex problem solving (CPS), little is known about how these two facets develop individually and jointly in…

As procedural flexibility, previously understood as adaptive reasoning, emerges as an important consideration in math skill development, it is important to account for executive functioning in that process as well, as executive functioning a well-researched factor in math performance. The current study, a secondary data analysis, explores how…

This paper examines three elementary school mathematics textbooks (one textbook from each of 6th, 7th, and 8th grade) to determine to what extent these textbooks present questions with multiple outcomes and multiple solution methods. Document analysis as a qualitative research method is adopted. The findings reveal that only 8% of all three…

This study examined the relationship between secondary school students' problem-solving success and perceptions using a relational survey model. This study investigated 378 students (212 girls and 166 boys) in the sixth, seventh, and eighth grades between 11 and 14 years old using the convenience sampling method. The problem-solving inventory for…

Students who exhibit mature number sense make sense of numbers and operations, use reasoning to notice patterns, and flexibly choose effective problem-solving strategies (McIntosh et al., 1997, https://ro.ecu.edu.au/ecuworks/6819). Due to its dispositional nature, mature number sense is typically measured through in-depth interviews or tests of…

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 explores the effects of number structure characteristics on student thinking in solving missing-value proportion problems. Prior research has documented that the presence of an integer ratio is beneficial, particularly if the integer relationship is within the same measure space. Less information on student performance is available,…

Background: As engineering becomes increasingly incorporated into precollege classrooms, it is important to explore students' ability to engage in engineering practices. One of these practices, "engaging in argument from evidence," has been well studied in science education. However, it has not yet been fully explored in engineering…

Improving children's "number sense" has been a core component of recent mathematics curricular and instructional reforms (CCSS, 2010; NCTM, 2000, 2014) in the United States. Students with mature number sense make sense of numbers and operations, use reasoning to notice patterns, and flexibly select the most effective and efficient…