The purpose of these notes is to provide examples of large-scale geometry problems that have the potential to promote "constructive struggling" in high-school geometry classrooms. These problems are suitable for being explored in a dynamic geometry environment. The notes also contain brief sketches of solutions to the two problems.

This study designs and implements interdisciplinary STEM instruction by adopting modelling-based physics programming, and explores its effectiveness on learning. A quasi-experimental study was conducted. The experimental group wrote programs to solve physics problems by following the modelling process, while the control group solved general…

This study investigated the performance of 790 fourth graders from Taiwan for judging the reasonableness of a computational result by using corresponding methods pertaining to whole numbers. A number-sense web-based two-tier diagnostic test was used to assess the number-sense performance of the fourth graders who participated in this study. The…

This study aimed to adapt the Physical Metacognition Inventory (PMI) developed by Taasoobshirazi and Farley (2013) to Turkish. PMI consists of 24 items and six factors. The scale items were translated into Turkish by the researchers, and a Turkish-English comprehensibility form was prepared to elicit the opinions of Turkish-English language…

Children in most schools, especially in Primary 7 (age 11, England Year 6), are increasingly engaging with technology and social media in a way that is completely different from 10 or even 5 years ago. More time is spent on phones and devices and, as a result of this, observations and appreciation of the wonderful natural world around them are…

Examples are an indispensable part of mathematical thinking through analogy, learning and the teaching process. In this study, the strategies that high school students used in example generation activities in mathematics course; operational and conceptual knowledge levels were determined and their effect on example generation ability was examined.…

Analogical reasoning is assumed to play a large role in learning and problem solving in everyday and school settings. It was examined whether a newly developed dynamic test of analogical reasoning would be sufficiently difficult for identifying young gifted children's potential for solving analogies. The study included 74 gifted (n = 31) and…

Analogies between old and new concepts are common during classroom instruction. Previous transfer studies focused on how features of initial learning guide later, spontaneous transfer to new problem solving. We argue for a shift in the focus of analogical-transfer research toward understanding how to best support analogical transfer from previous…

Widely recognized as a gold-standard resource, this authoritative book has been revised and expanded with 50% new material. It provides a complete introduction to functional behavioral assessment (FBA), complete with procedures, forms, and tools that have been piloted and refined in both general and special education settings. Numerous vivid…

Collaborative problem-solving (CPS) as a key competency required in the 21st century. There has been an increasing need to understand CPS since it involves not only cognitive but also social processes, and thus its process is difficult to examine. Recent research has highlighted that computer-based learning environments provide an opportunity for…

The Models and Modeling Working Group at PME-NA has provided a forum for discussing and collaborating on projects fundamental to research on mathematical modeling since the first PME-NA conference in 1978. We propose to convene this Working Group at PME-NA 41 with a dual purpose: (1) to build on a theme begun in Greenville, holding a focused…

In this study, we investigated one student as she engaged in the exploration of a graph theory problem, the Graceful Tree Conjecture. The study took place in a classroom in the Midwestern United States which contained eighteen students. We report on a descriptive case study of one student, Heidi, as she works her way through different classes of…

After analyzing and reflecting upon the errors students made when facing English writing activities, it was proposed to implement problematizing tutoring sessions as a strategy to assist them in overcoming their hurdles when writing. The participants of the study were 37 third-semester Law students from Universidad Santo Tomás…

To guide school librarians in their work of inspiring future generations of explorers, AASL tasked a 2020 ALA Emerging Leaders team with developing a guide of activities, resources, and professional development based on the Explore Shared Foundation in the "National School Library Standards." As learners prepare for college, career, and…

Productive Failure (PF) facilitates students' conceptual knowledge by delaying instruction until after problem solving. While PF is well investigated in middle and high school students, little is known about its effectiveness in younger students. Studies in younger samples, which implemented delayed instruction designs similar to those used in PF…