This work is part of an investigation conducted in Italy, which aims to explore the effects of instruction on secondary school students' combinatorial reasoning. We gave a questionnaire adapted from Navarro-Pelayo's research to two groups of students with and without instruction on combinatorics in order to analyse the students' performances and…

Integrating visual representations in an interactive learning activity effectively scaffolds performance and learning. However, it is unclear whether and how "sustaining" or "interleaving" visual scaffolding helps learners solve problems efficiently and learn from problem solving. We conducted a classroom study with 63…

Algebra I encompasses several topics that serve as a basis for students' subsequent mathematics courses as they progress in school. Some of the key topics that students struggle with is solving linear equations and algebraic word problems. There are several factors that may contribute to this ongoing struggle for students such as the structure of…

This intervention study examined the effectiveness of instructional support tailored toward two techniques (i.e., random associations and constraint identification) to strengthen children's creative problem-solving skills within upper-elementary science education. Five inquiry-based science lessons with ample opportunity for creative…

This study explored Indonesian prospective teachers' views on the adapted (including global socio-scientific issues) and revisited (including local socio-scientific issues) versions of the scientific habits of mind (SHOM) scale and compared their SHOM levels concerning teacher education programs and grades. The sample of the study consisted of…

Self-regulated learning (SRL) represents a necessary fundamental 21st century skill for children and adolescents and is essential for the development of gifted students. This study explored mathematically gifted (MG) junior high school students' SRL capabilities while solving mathematical problems compared to typical achievers (TAs). A sample of…

This study focuses on computer-based formative assessment for supporting problem solving and reasoning in mathematics. To be able to assist students who find themselves in difficulties, the software suggested descriptions - diagnoses - of the encountered difficulty the students could choose from. Thereafter, the software provided metacognitive and…

Eleven high school students participated in a one-week STEM summer camp focused on designing and building parachutes to deliver fragile objects safely. Using the Engineering Design Process (EDP) as a framework, students explored how canopy size affects performance. They applied physics concepts such as terminal velocity, forces, and acceleration,…

Connections among the mathematics, science, and engineering disciplines have been recognized and affirmed in national standards. For example, the application of mathematical ideas and skills within science has been highlighted in national science standards for over 20 years. More recently, the Next Generation Science Standards (NGSS; NGSS Lead…

The mathematical-related affect research agenda demands studies on the affect-cognition relationship, as well as interventions aimed at improving affective aspects of mathematical learning. The potential of technological environments for promoting cognitive changes in students has been widely informed and there is evidence of their influence in…

The editors of Mathematics Teacher appreciate the interest of readers and value the views of those who write in with comments. The editors ask that name and affiliation including email address be provided at the end of their letters. This September 2016 Reader Reflections, provides reader comments on the following articles: (1) "Innocent…

In this study, hypothetical samples of students' work on a task involving pattern generalizations were used to examine the characteristics of the ways in which 154 elementary prospective teachers (PSTs) paid attention to students' work in mathematics. The analysis included what the PSTs attended to, their interpretations, and their suggestions for…

In this paper, we analyse a grade 8 (age 13-14) Japanese problem-solving lesson involving angles associated with parallel lines, taught by a highly regarded, expert Japanese mathematics teacher. The focus of our observation was on how the teacher used carefully planned board work to support a rich and extensive plenary discussion (neriage) in…

Understanding students' participation in collaborative classroom settings is important in a variety of educational contexts, with implications for teaching, research, and equity. Using data from a group-centered developmental mathematics class, this research brief illustrates novel quantitative representations of students' group participation and…

Escape rooms are an increasingly popular form of live-action entertainment in which teams of players need to solve puzzles to escape or reach a narrative goal within a specified time limit. Current research suggests that this style of activity promotes the effective use of team skills in the classroom, which are desirable in the workplace, and…