Helping students understand that the scientific community's claims change through time, sometimes radically, allows them to develop a well-grounded sense of the "nature of science." Learning to reason about how scientific claims come to be accepted, and later refuted, is important for understanding the tentative nature of scientific…

The purpose of this study was to investigate eight preservice middle and high school mathematics teachers' solution strategies when solving single and multiple proportion problems. Real-world missing-value word problems were used in an interview setting to collect information about preservice teachers' (PSTs) reasoning about proportional…

Studies over the last 30 years have considered various factors related to student success in introductory biology courses. While much of the available literature suggests that the best predictors of success in a college course are prior college grade point average (GPA) and class attendance, faculty often require a valuable predictor of success in…

The elastic rebound theory is a fundamental explanatory geoscience construct introduced in most introductory undergraduate geoscience courses. Classroom experience, supported by a recent case study of undergraduate students' model-building activities, indicates that learning this theory tends to be incomplete, in spite of instruction employing…

The ability to generate novel hypotheses is an important problem-solving capacity of humans. This ability is vital for making sense of the complex and unfamiliar world we live in. Often, this capacity is characterized as an inference to the best explanation--selecting the "best" explanation from a given set of candidate hypotheses.…

Students who are adept in modeling with mathematics have the capability to use mathematics in situations that arise in everyday life. The German Tank problem described in this article created the expectation that student reasoning was rooted in logical deductions (NCTM 2000). By engaging in this problem, students grappled with challenging…

This study investigated the influence of stress-induced factor as determinants of undergraduates' numerical reasoning and decision making processes (NRDMP) in pseudo-mathematics courses. The study employed descriptive research of the survey type. A sample of 400 undergraduates was selected using purposive sampling technique. A questionnaire used…

Computational thinking is becoming common in K-12 curricula, and at the same time there is interest in how STEM subjects can be integrated with the Arts (referred to as STEAM). There are some obvious connections between music and computation, but the idea of engaging with genuine computational thinking while also having authentic music learning…

In the present study, we first examined the formality and use of academic language in students' scientific explanations in the form of written claim, written evidence, and written reasoning (CER). Middle school students constructed explanations within an intelligent tutoring system after completing a virtual science inquiry investigation. Results…

The study reported on in this chapter describes the justifications that elementary and middle school prospective teachers (PTs) made as they examined the temperature story that a Grade 5 student posed for an integer subtraction number sentence. The ways that the PTs made sense of the student's story that used integer subtraction as distance are…

The current Australian Curriculum mandates that technology be utilised to support students to "investigate, create and communicate mathematical ideas and concepts" (ACARA, 2018). However, research reports suggest that use of digital technologies in Australian primary mathematics often focuses on the lower-order drilling of algorithms and…

Children's cognitive control and knowledge at school entry predict growth rates in analogical reasoning skill over time; however, the mechanisms by which these factors interact and impact learning are unclear. We propose that inhibitory control is critical for developing both the relational representations necessary to reason and the ability to…

This research tests whether analogical learning is present before language comprehension. Three-month-old infants were habituated to a series of analogous pairs, instantiating either the "same" relation (e.g., AA, BB, etc.) or the "different" relation (e.g., AB, CD, etc.), and then tested with further exemplars of the…

Shaping OurSpace was an urban planning project asking children to propose plans for a housing project phased for redevelopment. Our primary aim was building visual-spatial thinking. McCormack's (1988, 2011) hierarchical framework was used to operationalize visual-spatial thinking, and we believe that embodied cognition served as a vehicle for…

The paper describes one problem solving strategy -- the Use of false assumption. The objective of the paper is to show, in accordance with Phylogenesis and Ontogenesis Theory, that it is worthwhile to reiterate the process of development of the concept of a variable and thus provide to pupils one of the ways helping them to eliminate usual…