The traditional approach to using videos involves the so-called "movie sandwich," which focuses on the use of a single video clip. Based on analogical learning research, we highlight the possible benefits of constructing what we term a "video bridge," which consists of two analogous videos that are linked by important themes of…

Inductive reasoning is used when generalizing from particular cases to a general theory. The purpose of this paper is to present some highlights in the history of the problem of induction through notes on a selection of writers from ancient Greece to modern times. These notes contribute to the argument that there is a fundamental problem with…

"Lollipop Logic" employs visual and pictorial clues to introduce and reinforce high-powered thinking for pre-readers. Seven different thinking skills--sequences, relationships, analogies, deduction, pattern decoding, inference, and critical analysis--are presented in a format designed to appeal to gifted young learners. This…

Multiliteracies provide a unique opportunity to students with extensive support needs (ESN) because they extend literacy practices to include print-based texts along with the visual, audio, gestural, and spatial modes, thereby engaging students in literacy practices and higher-level skills regardless of their fluency in language or learning…

In this article, the authors share frameworks for problem types and students' reasoning about integers. The authors found that all ways of reasoning (WoRs) were used across grade levels and that specific problem types tended to evoke particular WoRs. Specifically, students were more likely to use analogy-based reasoning on all-negatives problems…

Duncan Symons and Derek Holton discuss the different types of mathematical reasoning and what each of these might look like in the classroom. By suggesting language that can be used to describe the different methods of reasoning, they hope to provide teachers with the tools they need to better recognise and assess student reasoning.

The hammer-and-nail phenomenon highlights human tendency to approach a problem using a tool with which one is familiar instead of analyzing the problem. Pedagogical suggestions are offered to help students minimize their mathematical impulsivity, cultivate an analytic disposition, and develop conceptual understanding.

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.

This article examines a common proportional reasoning problem used in schools, often referred to as the Orange Juice task. The authors show how these six strategies described by Nikula (e.g., Unitizing, Norming, etc.) and one additional strategy can be used to either solve or make progress in the Orange Juice task. The article presents work from…

Purpose: Providing insights into the need to go beyond superficial equity efforts in classrooms, the authors present a standardized test analogy to make the concept of oppression accessible and relevant for educators. Three levels of oppression (individual, institutional and cultural/societal) are described along with a brief overview of Paulo…

This groundbreaking book looks at the development of mathematical thinking in infants and toddlers, with an emphasis on the earliest stage, from zero to three, when mathematical thinking and problem solving first emerge as natural instincts. The text explores the four precursor math concepts--attribute, comparison, change, and pattern--with an…

Laboratory experiences are a key and integral part of the chemistry degree that are intended to provide the students the necessary training for laboratory work and improve their scientific reasoning/research abilities and their understanding of the uncertainty in experimental measurements. Despite the unquestionable capacity of hands-on laboratory…

Online activism is a space of opportunity for students to encounter social justice issues, explore the possibilities of visual rhetoric, practice persuasive speaking skills, and actively contribute to the momentum of social movements. At the same time, digital activism raises concerns about "slacktivism," limiting the necessary…

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…