Backward transfer is defined as the influence that new learning has on individuals' prior ways of reasoning. In this article, we report on an exploratory study that examined the influences that quadratic functions instruction in real classrooms had on students' prior ways of reasoning about linear functions. Two algebra classes and their teachers…

Students frequently turn to the internet for information about a range of scientific issues. However, they can find it challenging to evaluate the credibility of the information they find, which may increase their susceptibility to mis- and disinformation. This exploratory study reports findings from an instructional intervention designed to teach…

The aim of this study is to examine how algorithmatizing tasks engage mathematics students in algorithmic thinking. Structured, task-based interviews were conducted with eight Year 12 students as they completed a sequence of algorithmatizing tasks involving maximum flow problems. A deductive-inductive analytical process was used to first classify…

Teaching syllogistic reasoning is often perceived as teaching pupils the purely formal rules of deductive inference. According to this common conception, such reasoning is a highly abstract skill, one that is carried out by the processing of syntactically encoded representations of the premises. This paper argues that syllogistic reasoning may,…

This study addresses the measurement of high school students' epistemic knowledge associated with scientific experimentation (EKSE) which concerns "how" scientific experimentation generates knowledge and "why" that knowledge is justified. Based on philosophical, educational standards, and literature analyses, an EKSE construct…

Background: In scientific inquiry learning, students often have difficulties conducting hypothetical reasoning with multiple intertwined variables. Concept maps have a potential to facilitate complex thinking and reasoning. However, there is little investigation into the content of student-constructed concept maps and its association with inquiry…

Adaptive comparative judgment (ACJ) has been widely used to evaluate classroom artifacts with reliability and validity. In the ACJ experience we examined, students were provided a pair of images related to backpack design. For each pair, students were required to select which image could help them ideate better. Then, they were prompted to provide…

An essential understanding of the uses and practices of algebra remain out of reach for many students. In this book, award-winning researcher Dr. Nicole Fonger addresses the issue of how to support all learners to experience algebra as meaningful. In a highly visual approach, the book details four research-based lenses with examples from 9th-grade…

Sampling distributions are fundamental for statistical inference, yet their abstract nature poses challenges for students. This research investigates the development of high school students' conceptions of sampling distribution through informal significance tests with the aid of digital technology. The study focuses on how technological tools…

Mathematics education often grapples with the challenge of teaching abstract mathematical concepts, particularly those existing in 3D space. Visualizing, manipulating, and comprehending these abstract objects can be a formidable task for learners. While 3D printing technology has found applications in various fields, its utilization in mathematics…

Policymakers, educators, and families throughout the world are concerned about the lingering effects of the COVID-19 pandemic on school-aged youth. Schools are working to help students readjust to school routines and regain lost ground on academic skill development while also addressing the wounds caused by the pandemic. This study describes one…