Teaching with analogies is an important pedagogy that helps learners construct abstract conceptions through reasoning with something familiar. Heat concepts were chosen for this study because they have an intangible nature and involve complex mechanisms that often challenge school-aged learners. Learning this kind of complex concept with analogies…

Cognitive development of eighth-grade students, as identified by Jean Piaget, occurs during a time when many of them are transitioning between concrete operations and formal operations where the ability to think in abstract concepts becomes possible. Because of this period of transition, many eighth-grade students find difficulty in demonstrating…

This study aims to investigate the relationship between learning styles and the efficacy of routine and non-routine problem solving. It also compares these relationships with respect to routine and non-routine problem types. The study sample consisted of 356 eighth-grade students in four different schools. In this study, correlational and…

This study examines the collective mathematical reasoning when students and teachers in grades 3, 4, and 5 explore fractions derived from length comparisons, in a task inspired by the Elkonin and Davydov curriculum. The analysis showed that the mathematical reasoning was mainly anchored in mathematical properties related to fractional or algebraic…

Analogies have many advantages for students such as concretizing abstract concepts and enabling motivation. Analogies are frequently used in textbooks. Research shows that the analogies in textbooks are not used based on certain directives and sometimes lead to misconceptions for students. Therefore, analysing the analogies in textbooks on several…

Looking for, recognizing, and using underlying mathematical structure is an important aspect of mathematical reasoning. We explore the use of mathematical structure in children's integer strategies by developing and exemplifying the construct of logical necessity. Students in our study used logical necessity to approach and use numbers in a…

This study compared student scientific reasoning and conceptual knowledge in argumentation-based and traditional instruction, taught in school regions with low and high socio-economic status (SES) respectively. Furthermore, concrete and formal reasoning students' scientific reasoning and conceptual knowledge were compared during both instructions…

The aims of this study were to investigate how upper-elementary-grade students compare the volume of rectangular prisms of equal volume (specifically, students' noticing and reasoning for invariance of volume and coordination of the three linear dimensions of rectangular prisms) and how students' levels of sophistication in volume measurement…

There is a rising trend to provide low-cost laptops to children in developing countries. Notwithstanding strong claims about the educational effectiveness of these programs, there is very little systematic evidence. Given the level of modernization and the teacher-led learning environment in developing countries, the usage of laptops in such…

We examined how middle school students reason about results from a computer-simulated die-tossing experiment, including various representations of data, to support or refute an assumption that the outcomes on a die are equiprobable. We used students' actions with the software and their social interactions to infer their expectations and whether or…

This study characterizes how a cohort of 33 middle and secondary mathematics preservice teachers' inferential reasoning changed while enrolled in a statistics course designed for future teachers. Changes in inferential reasoning from pre- to post-assessments are analyzed and further elucidated by midcourse clinical interviews conducted with a…

The purpose of this study was to examine the policy implications allowing administrators to exempt a student from required arts instruction if the student obtained unsatisfactory scores on the high-stake state mandated tests in English and mathematics. This study examined English language arts and math test scores for 37,222 eighth grade students…

The purpose of this study was to examine the policy implications allowing administrators to exempt a student from required arts instruction if the student obtained unsatisfactory scores on the high-stake state mandated tests in English and mathematics. This study examined English language arts and math test scores for 37,222 eighth grade students…