Math problem solving frequently involves choices among alternative strategies. Strategy choices, and effects of problem features on strategy choices, both vary among individuals. We propose that individual differences in strategy choices can be well characterized in terms of parametric variation in three types of influence: global bias, relevant…

This essay extends beyond the characteristics and discourse of word problems to, more generally, school mathematical problem-solving and the implications entailed by a predominant paper-and-pencil mode of learning and instruction since the modern era of education. Contrasting what I call "one-handed" (with paper-and-pencil) with…

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…

In the present study, we illuminate students' multiplicative reasoning in the context of their units-coordinating activity. Of particular interest is to investigate students' use of three levels of units as given material for problem-solving activity, which we regard as supporting a more advanced level of multiplicative reasoning. Among 13 middle…

The authors developed an instructional nudges as part of a larger research project. These instructional nudges are designed to be small but powerful changes to teachers' existing practices. Some instructional nudges focus on modifying tasks used in classrooms. In this article, the authors share Rate and Review. The goal of Rate and Review is to…

The purpose of this study was to examine the mathematical creativity of gifted and non-gifted students through the indicators of creativity (fluency, flexibility, and originality). The study involved 12 secondary school students (six gifted and six non-gifted) from different cities in the Black Sea Region of Türkiye. The data were collected…

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…

This study examines the influence of STEM (Science, Technology, Engineering, and Mathematics) education on nurturing creativity and innovation among middle school students in Pakistan. A total of 164 students participating in diverse STEM programs nationwide provided data through a comprehensive questionnaire addressing demographics, perceptions,…

There exists a gap in the literature that discusses the issue of those who teach STEM degree courses who have not been given appropriate training to effectively integrate and implement analytical problem-solving skills (APSS) within their curriculum. At the center of this research is the need for effective training of implementing analytical…

In this study, the relationship between secondary school students' conceptions of learning and their mathematical thinking was examined. The study was conducted with 311 secondary school students using relational survey model. The data were collected with the learning conceptions scale and mathematical thinking scale, and the relationship between…

Mathematical problem posing was advocated as one major area needing systematic investigation. It was also recommended that school mathematics learning should involve experientially real problem situations and using handheld devices to bridge across formal and informal contexts for mathematical learning. This research study explored how 11 middle…

This study investigates the extent to which student and task-related characteristics are associated with different types of note-taking and analyzes how task success depends on these elements. For this purpose, a sample of n=866 students (age: mean=13.99) completing two reality-based tasks as part of a paper and pencil test are considered. The…

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 aimed to examine the collective mathematical creativity of gifted middle school students within a group through model-eliciting activities. The current study employed the case study design. The participating four gifted students were selected through the purposive sampling technique. To examine the collective creativity of the students…

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…