This article traces the early and medieval Islamic scholarship to the development of critical and scientific thinking and how they contributed to the development of an Islamic theory of epistemology and scientific thinking education. The article elucidates how the Qur'an and the Sunna of Prophet Muhammad have also contributed to the…

Confusion can arise from the subtle difference between proving a general and a particular statement, especially when general statements are presented by textbooks in ways that make them appear particular in nature. The authors discuss the implications for teaching proof in light of the current opportunities in high school geometry textbooks.

I discuss a pedagogical strategy in which we ask students to write about science. Such writing is to be done regularly and often, in class and out of class, in the format of brief "letters to a friend" and longer essays. The goal of this technique is not to teach students how to write; it is to use their writing to help them learn the science.…

Drawing on the author's struggle to come to terms with multiple personal losses, his observations of young children in early childhood classrooms, and work with novice teachers, this essay points to the generative possibilities embedded in moments of disorienting loss. Constrained by traditional templates of mourning that did not reflect the lived…

Mainland Chinese students form the largest international tertiary student population in the USA, yet most discourse around them tends to adopt a deficit perspective. Adopting a hybridized sociocultural framework, this qualitative study follows 18 Chinese undergraduates over one year to examine how challenges they face are influenced by…

This study introduces an approach to providing corrective feedback to L2 learners termed analogy-based corrective feedback that is motivated by analogical learning theories and syntactic alignment in dialogue. Learners are presented with a structurally similar synonymous version of their output where the erroneous form is corrected, and they must…

I teach a general education class on the history of nuclear physics and the Manhattan Project. About halfway through the course we come to the discovery of fission and Niels Bohr's insight that it is the rare isotope of uranium, U-235, which fissions under slow-neutron bombardment as opposed to the much more common U-238 isotope. As an…

In recent years, it is becoming common to apply the metaphor of "economic bubble" to the description of certain phenomena in the academic field. The metaphor is generally used to refer to the difference between the expectable market value of the degree and the investments needed to receive it. The analogy is with the economic phenomenon, in…

Educators are familiar with Alfred North Whitehead's three stages of education: romance, precision, and generalization. Philosophers are familiar with his metaphysical theories about the primacy of temporal processes. In "Modes of Learning," George Allan brings these two sides of Whitehead's thought together for the first time in a book…

Proportional reasoning is a key aspect of numeracy that is not always developed naturally by students. Understanding the types of proportional reasoning that students apply to different problem types is a useful first step to identifying ways to support teachers and students to develop proportional reasoning in the classroom. This paper describes…

A growing literature suggests that generating and evaluating explanations is a key mechanism for learning and inference, but little is known about how children generate and select competing explanations. This study investigates whether young children prefer explanations that are simple, where simplicity is quantified as the number of causes…

Theory-of-mind (ToM) involves modeling an individual's mental states to plan one's action and to anticipate others' actions through recursive reasoning that may be myopic (with limited recursion) or predictive (with full recursion). ToM recursion was examined using a series of two-player, sequential-move matrix games with a maximum of three steps.…

One of the challenges of learning ratio concepts is that it involves intensive quantities, a type of quantity that is more conceptually demanding than those that are evaluated by counting or measuring (extensive quantities). In this paper, we engage in an exploration of the possibility of developing reasoning about intensive quantities during the…

In making causal inferences, children must both identify a causal problem and selectively attend to meaningful evidence. Four experiments demonstrate that verbally framing an event ("Which animals make Lion laugh?") helps 4-year-olds extract evidence from a complex scene to make accurate causal inferences. Whereas framing was unnecessary when…

This article elaborates and defends a thesis prominent in my recent book, "The Formation of Reason"; namely, that "a human being gets to be free in the distinctive way that human beings are free through the acquisition of second nature". My treatment of this thesis in The Formation of Reason is much influenced by the philosophy of John McDowell.…