This paper articulates a stance on the study of students' meaningful mathematics understanding with multiple representations. We integrate Thompson's theory of quantitative reasoning and Dreyfus' theory of multiple representations in our approach to frame and conduct empirical investigations of the study of meaningful understanding of function. We…

Analogical reasoning is a basic learning mechanism. Analogy in teaching science is a very popular pedagogical approach in many countries. The use of analogy is not recognized as one of the formal teaching learning strategies to facilitate students' science learning in Bangladesh. In secondary science teaching, teachers' unconscious and…

The main aim of this research is to examine the effect of an instructional design based on the Algo-Heuristic Theory of Instruction (AHTI) on students' mathematics performance and logical thinking skills in the subject of 7th grade mathematics. The research is grounded in a mixed method. In the quantitative part of the research, a…

Background: As engineering becomes increasingly incorporated into precollege classrooms, it is important to explore students' ability to engage in engineering practices. One of these practices, "engaging in argument from evidence," has been well studied in science education. However, it has not yet been fully explored in engineering…

Teaching meaningful and productive mathematical argument in school requires teachers who are comfortable with diverse forms of mathematical justification. This study examines the written and oral justifications of pre-service middle school teachers (PSTs) in a single classroom, focusing on the types of justifications they use during the patterns…

Quantitative Reasoning for Professionals is a two-semester general education sequence that teaches basic and intermediate algebra through the lens of quantitative reasoning. In this course sequence, we emphasize communication and inference-making while teaching practical algebra skills for students in programs such as business, nursing, and social…

Logic models have garnered acclaim for their usefulness and disdain for the time required to create good ones. We argue that the orderly, analytical nature of logic models is opposed to many Extension programs, and we explain developmental evaluation, an approach that highlights ongoing development, adaptations, and rapid response. We use our…

This article introduces the concept of adaptive intelligence--the intelligence one needs to adapt to current problems and anticipate future problems of real-world environments--and discusses its implications for education. Adaptive intelligence involves not only promoting one's own ability to survive and thrive, but also that of others in one's…

Arguing from evidence is one of eight key science practices in which students should engage. It is an essential component of science, yet students have difficulties with this practice. We describe a scaffolded claims-evidence-reasoning (CER) argumentation framework that is embedded within a new eight-week, freely available curriculum unit…

"Instructional Sequence Matters, Grades 9-12" is the one-stop resource that will inspire you to reimagine your approach to high school physical science. The book discusses the 5E (Engage, Explore, Explain, Elaborate, and Evaluate) as a specific pathway for teaching and learning. It also shows how simple shifts in the way you arrange and…

This paper explores selective literatures in the two fields of action learning and innovation, and seeks insights into the processes of, and connections between, innovation, engagement and implementation. We searched the action learning articles for references to innovation, beginning with the work of Revans, who highlights the innovation paradox,…

David Bakhurst's 2011 book "The Formation of Reason" explores the philosophy of John McDowell in general and the Aristotelian notion of second nature more specifically, topics to which philosophers of education have not yet given adequate attention. The book's widespread appeal led to the symposium "Second Nature, Bildung and…

One of the major debates concerning the nature of inferential reasoning is between counterexample-based strategies such as mental model theory and statistical strategies underlying probabilistic models. The dual-strategy model, proposed by Verschueren, Schaeken, & d'Ydewalle (2005a, 2005b), which suggests that people might have access to both…

The ability to accurately reason using three-dimensional visualizations is vital to success in STEM disciplines, particularly the geosciences. One impediment to learning from visualizations is spatially-based misconceptions. Such errors can arise from a range of sources (e.g., prior beliefs, inaccurate application of analogy, and visual…

Research in developmental psychology has shown that deeply-rooted, intuitive ways of thinking, such as design teleology and psychological essentialism, impact children's scientific explanations about natural phenomena. Similarly, biology education researchers have found that students often hold inaccurate conceptions about natural phenomena, which…