Many U.S. students possess only a weak knowledge of fraction arithmetic. I hypothesize that textbooks are a critical reason for students' poor performance on fraction arithmetic. This is not because of what textbooks contain but rather because of what they lack. Distributions of fraction arithmetic problems in textbooks are imbalanced, with…

This study examined whether learning with heuristic worked examples can improve students' competency in solving reality-based tasks in mathematics (mathematical modeling competency). We randomly assigned 134 students in Grade 5 and 180 students in Grade 7 to one of three conditions: control condition (students worked on reality-based tasks),…

During the past 20 years, numerous studies examining the use of problem posing in mathematics instruction have documented positive outcomes in terms of students' problem-solving skills, creativity, and attitudes and beliefs regarding the study of mathematics. However, despite these promising results, problem posing in mathematics instruction has…

This study sought to examine the effectiveness of math problem solving interventions with self-regulated learning (SRL) components on the math problem-solving performance of middle school students with disabilities. A meta-analysis was conducted of all single-case design studies meeting inclusion/exclusion criteria between 2000-2021, resulting in…

Background: Creativity is one of the key competencies for the talent of the 21st century to meet future challenges in a complex world. It is also an innovative basis for students to discover and pose questions. Purpose: This study aimed to explore which two interventions of the problem-oriented teaching model, teacher-guided problem finding (TGPF)…

Mathematics literacy, which encompasses vital life skills such as learning to communicate and justify reasoning, is important for all people throughout their lives. Technology tools such as technology-based graphic organizers (TBGOs) provide universal accessibility supports for learners who experience difficulties with a variety of aspects of…

Manipulatives are an effective mathematical tool to support students with disabilities in the area of mathematics. Yet, there remain inconsistencies in terms of which type -- concrete or virtual -- is more effective for students with disabilities working on algebra related content and which type is preferred by students. The researchers used an…

The question posed in this analysis is: What is the relationship between text-centered dialogue and reading comprehension? This article examines one student's behaviors while reading challenging texts. This qualitative case study explored the verbal behaviors of Robert (pseudonym), a seventh-grade student receiving reading intervention. As his…

Word problem solving skills include complex skills. Teaching word problem solving skills to students with disabilities is more difficult compared to their peers with typical development. Therefore, effective interventions need to be determined in order to teach these skills to students with disabilities. The purpose of this study is to analyze the…

The aim of the present study was to investigate the effects of an intervention on students' achievement and motivation. The intervention was in the form of an instructional approach named Dual-Approach Instruction since it was designed to facilitate both the cognitive and non-cognitive aspects of students' learning. The intervention effects were…

Ratio and proportional relationships, along with the interrelated topics of fractions,decimals, and percent, provide a critical foundation for algebra (National Mathematics Advisory Panel, 2008). Proportional reasoning, which not only requires understanding the concept of ratios and that two or more ratios are equal, also requires the ability to…

Agentic orientation, critical thinking (CrT) and taking the fourth-person perspective (4PP) are described as teachable attainments. A Personal Viewpoints (PVs) Biblical Studies curriculum challenged Year 7 students to resolve socially problematic situations through group discussion and perspective-taking. A life-issue scenario was used to pre- and…

We report the results of a preregistered, cluster randomized controlled trial of a mathematics learning intervention known as interleaved practice. Whereas most mathematics assignments consist of a block of problems devoted to the same skill or concept, an interleaved assignment is arranged so that no 2 consecutive problems require the same…

The purpose of this study was to examine the effectiveness of video-based mathematics instruction for seven middle school students with specific learning disability (SLD), using an augmented reality-based training package. The dependent variable was the percentage of steps students performed correctly to solve each type of mathematics problem. The…

Mathematics instruction -- and interventions to support mathematics teaching -- for students with intellectual disability is important yet underexamined. This study explored a graduated instructional sequence referred to as the virtual-representational (VR) as a mathematical intervention. Researchers taught four students with disabilities what…