This study examined how word-problem characteristics influenced students' learning and retention of word-problem knowledge during and after an intervention. The participants were 221 fourth-grade students (average age at pretest = 8.8 years) who experienced word-problem difficulties (WPD) and had received a word-problem intervention in third…

The purpose of this study was to explore the paths by which word-problem intervention, with versus without embedded prealgebraic reasoning instruction, improved word-problem performance. Students with mathematics difficulty (MD; n = 304) were randomly assigned to a business-as-usual condition or 1 of 2 variants of word-problem intervention. The…

There is a growing body of evidence on the effectiveness of modified schema-based instruction (MSBI) for teaching word problem-solving alongside other important skills, such as self-determination and mathematical discourse and reasoning. Yet the majority of studies have not been conducted in naturalistic instructional arrangements. We report…

Parental involvement in children's education has benefits throughout a child's academic career. Researchers and educators have developed parental involvement programs, the most effective being those that teach parents to understand open-ended mathematics problems, allowing time for children to think, share their mathematical understanding, and…

The current study investigated the effectiveness of an intensive writing intervention focusing on mathematical reasoning through written expression. A group pretest--intervention--posttest comparison experimental design was used to implement a 12-lesson intervention, delivered through a combination of Google Classroom and in-person classroom…

Students in the elementary grades often experience difficulty setting up and solving word problems. Using an equation to represent the structure of the problem serves as an effective tool for solving word problems, but students may require specific pre-algebraic reasoning instruction about the equal sign as a relational symbol to set up and solve…

Despite problem posing's prominence in mathematics education research, its implementation in classrooms is limited. Therefore, teacher educators should incorporate problem posing tasks into preparation programs to help prospective teachers gain confidence in their abilities. One approach to teaching problem posing includes providing examples. The…

Background: The previous body of research literature has reported several separate cognitive processes relevant in solving mathematics wps. Therefore, it is of the essence to seek for effective intervention and instruction for students in need for support in learning. Aim: This article reports the outcome of an intervention targeted at mathematics…

Communicating their thinking in mathematics is challenging for young children. This research studied the change in six-year old students' oral and written solution explanations before and after six problem-based mathematics lessons that focused on developing conceptual understanding of adding or subtracting a 2-digit number and a multiple of ten.…

For children with persistent mathematics difficulties, research and practice espouses that an altered kind of mathematics instruction is necessary due to sustained performance differences. Yet, a critical issue in mathematics education rests in the question of why research locates the problem within these children. In this paper, we challenge a…

Analogy is a powerful learning mechanism for children to learn novel, abstract concepts from only limited input, yet also requires cognitive supports. My dissertation sought to propose and examine number lines as a mathematical schema of the number system to facilitate both the development of rational number understanding and analogical reasoning.…

Mathematical reasoning is important in conceptual understanding and problem solving. In current reform-based, discourse-oriented mathematics classrooms, students with learning disabilities (LD) encounter challenges articulating or explaining their reasoning processes. Enlightened by the concept of conversational repair borrowed from the field of…

Mathematical word problems are the most common form of mathematics problem solving implemented in K-12 schools. Identifying key words is a frequent strategy taught in classrooms in which students struggle with problem solving and show low success rates in mathematics. Researchers show that using the concrete-representational-abstract (CRA)…

Mathematical reasoning requires perseverance to overcome the cognitive and affective difficulties encountered whilst pursuing a reasoned line of enquiry. The aims of the study were: to understand how children's perseverance in mathematical reasoning (PiMR) manifests in reasoning activities, and to examine how PiMR can be facilitated through a…

The Common Core State Standards articulate expectations for student participation in mathematical reasoning, sense making, and discussion. Yet little to no research explores the participation of students with autism in these practices. Drawing on neurodiversity and situated sociocultural theory, this article offers a case study of the mathematics…