In this paper, we investigate the ways in which 15 year-old students conceive interrelated issues of randomness. We deal with these issues of randomness as a whole and not separately from each other, in contrast to the research so far. In order to analyse the students' ways we introduce a modification of Kyburg's Schema [(1974). "The logical…

The belief that we are living in a post-truth age raises a number of complex, paradoxical questions. Does it suggest, for example, that truth no longer matters? Or, that the idea of truth no longer exists? The university, of course, has long been associated with the interests of truth -- not only in searching for truth, but in telling the truth.…

Tinkering is often viewed as arbitrary practice that should be avoided. However, tinkering can be performed as part of a sound reasoning process. In this ethnomethodological study, we investigated tinkering as a reasoning process that construes logical inferences. This is a new asset-based approach that can be applied in computer science…

This study was aimed to develop a general argumentation framework for evaluating the quality of causal arguments across scientific and social contexts. We designed a computer-delivered assessment that contains four scenario-based argumentation tasks. Each task asks students to identify relevant evidence from provided data sources and use the…

Two studies examined factors that predicted children's tendencies to match objects versus relations across scenes when no instruction was given. Study 1 examined a) age and b) nationality as a proxy for cultural differences in experiences with relations. The results showed that Chinese and U.S. children across ages all showed an initial bias to…

In this study, Turkish pre-service science teachers' moral reasoning patterns and the factors which influence their decisions while discussing genetics-related socio-scientific issues (SSI) were investigated. A basic qualitative approach was adopted for this purpose. Seven third-grade pre-service science teachers enrolled in the study.…

Previous studies have shown that students who have completed differential and integral calculus often accept and employ empirical arguments as proofs, but this is not the case for students who have had at least one upper-level proof course; these students tend toward the use of deductive proofs. This paper finds that a majority of the students…

Students of introductory economics are often able to predict changes in equilibrium price correctly on standardized assessments, but make consistent errors in predicting changes in equilibrium quantity. To examine the reasons for this pattern, the authors collected open-ended explanations written by students and categorized their reasoning using a…

As mathematical patterns become more complex, students' conditional reasoning skills need to be nurtured so that students continue to critique, construct, and persevere in making sense of these complexities. This article describes a mathematical task designed around the online version of the game Mastermind to safely foster conditional reasoning.

In this article we illustrate how one teacher used PhET cannonball simulation as an instructional tool to improve students' algebraic reasoning in a fifth grade classroom. Three instructional phases effective to implementation of simulation included: Free play, Structured inquiry and, Synthesizing ideas.

In L1 grammar teaching, teachers often struggle with the students' conceptual understanding of the subject matter. Frequently, students do not acquire an in-depth understanding of grammar, and they seem generally incapable of reasoning about grammatical problems. Some scholars have argued that an in-depth understanding of grammar requires making…

Novel causal systems pose a problem of variable choice: How can a reasoner decide which variable is causally relevant? Which variable in the system should a learner manipulate to try to produce a desired, yet unfamiliar, casual outcome? In much causal reasoning research, participants learn how a particular set of preselected variables produce a…

The topic of atomic spectra is part of university and secondary school curricula around the world. Relatively little research, however, has been done on the learning and teaching of this subject, despite the fact that it forms a foundation for advanced study in quantum mechanics, astronomy, and astrophysics. A systematic investigation into student…

The purpose of this study was to test the relationships between critical thinking, prior topic knowledge and beliefs, and multiple-document comprehension through a path analysis approach. The participants were 281 Italian undergraduate students. Participants first completed a rational-experiential inventory, a critical thinking skills test, a…

We report on findings from two one-on-one teaching experiments with prospective middle school teachers (PTs). The focus of each teaching experiment was on identifying and explicating the mental processes and types of intermediate, supporting reasoning that each PT used in their development of combinatorial reasoning. The teaching experiments were…