In their recent article on teachers' proportional reasoning, Copur-Gencturk et al. (2022) draw attention to a type of strategy that they call "relative", lodged right between additive and multiplicative thinking. This strategy raised interest in our research team, as it aligned well and helped give stronger meaning to some strategies…

The use of analogies is a well-known teaching strategy to bridge unfamiliar and familiar concepts. However, analogies may become ineffective if the familiar concept is not familiar anymore. For example, this may occur when we describe rotational sense as clockwise and counterclockwise, assuming students know how to read a clock with hour and…

Mental model (Johnson-Laird, 2001) and probabilistic theories (Oaksford & Chater, 2009) claim to provide distinct explanations of human reasoning. However, the dual strategy model of reasoning suggests that this distinction corresponds to different reasoning strategies, termed "counterexample" and "statistical,"…

Task-relevant actions can facilitate mathematical thinking, even for complex topics, such as mathematical proof. We investigated whether such cognitive benefits also occur for action predictions. The action-cognition transduction (ACT) model posits a reciprocal relationship between movements and reasoning. Movements--imagined as well as real ones…

Background: Research on causal reasoning often uses group-level data analyses that downplay individual differences and simple reasoning problems that are unrepresentative of everyday reasoning. In three empirical studies, we used an individual differences approach to investigate the cognitive processes people used in fault diagnosis, which is a…

Mathematical writing is one way for primary students to communicate their mathematical thinking. Research in the field of writing has shown that to become an effective teacher of writing, preservice teachers must have experience engaging in the kinds of writing given to their students. The study reported in this paper explored how 27 preservice…

"Making" represents an increasingly popular label for describing a form of engineering design. While making is growing in popularity, there are still open questions about the strategies that students are using in these activities. Assessing and improving learning in making/ engineering design contexts require that we have a better…

This pamphlet reviews five reports that highlight an emerging consensus among researchers about the value of systematically incorporating cognitive instruction into the elementary school curriculum. First is a comprehensive framework by Robert J. Marzano and C. L. Hutchins for an integrated approach to thinking skills that has been developed and…

An analysis is presented of the latest findings from psychology and education on how children acquire complex thinking skills and learn to reason, and how the schools can teach such skills more effectively. This paper reviews previous research, highlights successful learning strategies, and makes specific recommendations about problems and…

This study describes the relationship of two cognitive variables, logical thinking and disembedding ability, to learners' abilities to make conceptual shifts from less acceptable to more acceptable conceptual understandings of a physical phenomenon. The difference in the logical thinking and disembedding ability of students who exhibited different…

In this interview, author Art Costa asserts that the teaching of either content or thinking skills in isolation is unproductive. To combine these approaches, he recommends selecting content for its relationship to thought processes. He also observes that administrators who model intelligent behavior thereby create a climate for thinking. (TE)

Beginning geometry students misunderstand the requirements of formal proof because of confusion between deductive reasoning and argumentation. Presented is a cognitive analysis of deductive organization versus argumentative organization of reasoning and the applications of this analysis to learning. Implications of a study analyzing students'…

A study investigated the reason for the high performance of bilingual children on a syllogistic reasoning task. Thirty-nine Puerto Rican Spanish-English bilingual children in grades 3 through 6 were asked to solve problems in both languages. Response times were recorded, and the subjects were asked to justify their answers to assess to what extent…

Reviews a monograph which addresses children's higher-order thinking skills. Suggests the following for teaching problem solving: identify and develop content-independent and content-dependent problem-solving skills, connect developed skills through workshop-style activities to subject discipline, and help students identify and reconstruct their…

This paper presents a rationale for teaching higher level thinking skills to students with special needs, including those with mild mental handicaps and learning disabilities. It briefly reviews the literature on teaching such skills, stressing that thinking skills can be taught through specific teaching methods such as a four-step method…