Using mathematical modelling to solve problems appears in all year levels in the Australian Curriculum: Mathematics (v. 9), and is probably the most authentic way of teaching mathematics in context. However, the term mathematical modelling, even if familiar to teachers, may not be well understood or enacted confidently by teachers in their…

A frequent concern about constructivist instruction is that it works well, mainly for students with higher domain knowledge. We present findings from a set of two quasi-experimental pretest-intervention-posttest studies investigating the relationship between prior math achievement and learning in the context of a specific type of constructivist…

Almost fifty years ago, Barrows (1986) claimed that problem-based learning (PBL) was broad enough that a single methodological description was not possible. It has only grown more complex since. In addition to meaningful variations of PBL, there are several related problem-centered pedagogies, such as case-based learning, project-based learning,…

This randomized control treatment study investigated the role of generative paraphrasing interventions on word problem-solving (WPS) accuracy in English language learners (ELL) who were at risk for math difficulties (MD). One hundred and forty-two third-grade monolingual and English language learners were randomly assigned to either an untreated…

Problem-based learning (PBL) offers a powerful approach to engage students in meaningful learning experiences by connecting classroom content to real-world challenges. This Spotlight explores how PBL can be implemented across K-12 to foster critical thinking, collaboration, and problem-solving skills. From preparing students for the workforce…

Effective instructional strategies to improve mathematical problem solving skills are critically important to student success in both school-based and real-world mathematics tasks. This study reports effects of a Virtual-Representational-Abstract Integrated framework on the mathematical problem solving skills of three middle school students with…

Do you work tirelessly to make your math lessons meaningful, challenging, accessible, and engaging? Do you spend hours you don't have searching for, adapting, and creating tasks to provide rich experiences for your students that supplement your mathematics curriculum? Help has arrived! "Classroom Ready-Rich Math Tasks for Grades 2-3"…

Do you work tirelessly to make your math lessons meaningful, challenging, accessible, and engaging? Do you spend hours you don't have searching for, adapting, and creating tasks to provide rich experiences for your students that supplement your mathematics curriculum? Help has arrived! "Classroom Ready-Rich Math Tasks for Grades 4-5"…

Since its first notable appearance in the "Second Handbook of Research on Mathematics Teaching and Learning," the phrase productive struggle has garnered support from a few, yet very influential, educational researchers. However, since the phrase was popularized by Hiroko Warshauer in 2011, examinations of the productive struggle have…

This article illustrates how teachers can use number lines to support students with or at risk for learning disabilities (LD) in mathematics. Number lines can be strategically used to help students understand relations among numbers, approach number combinations (i.e., basic facts), as well as represent and solve addition and subtraction problems.…

In addition to the continuing need for citizens who can address the challenges of "human" communities, growing concerns have arisen regarding "all" life on the planet. Indeed, one of our most urgent conditions is the decline of the environment upon which all life depends. Yet, despite our concerns, there remain vastly differing…

Recent studies have shown that playing with coding toys enhances children's skills in STEM-subjects, especially problem-solving abilities. However, there is limited knowledge of early childhood education and care (ECEC) teachers' roles in facilitating children's problem-solving through coding-toy play activities and the high-quality pedagogical…

This pilot study examined the feasibility of using worked examples as a mechanism to improve verbal explanations of fractions concepts among Grade 5 students with mathematics difficulties in a small-scale randomized controlled trial (RCT) before scaling up to a large-scale RCT. Students (N = 49) were randomly assigned to a business-as-usual (BAU)…

Background: Children with phonological impairment present with pattern-based errors in their speech production. While some children have difficulties with speech perception and/or the establishment of robust underlying phonological representations, the nature of phonological impairment in children is still not well understood. Given that…

The field of anatomy is often seen by nonanatomists as concerned primarily with the tasks of locating, naming, and describing structures; these tasks, in turn, are often assumed to require only lower-order cognitive skills (LOCSs), i.e., the Knowledge or Comprehension levels of Bloom's taxonomy. Many nonanatomists may thus believe that studying…