Mathematical flexibility has been widely acknowledged as an important learning goal in mathematical education and has received increasing research attention in order to explore its nature, facilitating mechanisms, and promotion interventions. Given that researchers conceptualize, assess, and explain flexibility in mathematical problem solving from…

This study reviews the literature on error patterns in mathematics among students with mathematics difficulty. We analyzed and synthesized the findings from 17 studies, focusing on the characteristics of error analysis studies, the mathematics topics examined, and the specific error patterns identified. The results revealed the following: (a) the…

Mathematics plays many roles in physics and physics education. While these roles have previously been extensively discussed in the physics education research community, no systematic picture of the multifaceted considerations has yet been formed. To gain a comprehensive overview of the previous studies on the topic, we conducted a systematic…

This review study synthesises the literature on how computational thinking (CT) and mathematical thinking (MT) are integrated into mathematics education research with a focus on tasks. A review of 28 relevant articles on the Web of Science Core Collection database indicated that (1) CT helps students develop and apply mathematical concepts and…

The ability to solve mathematical problems has been an interesting research topic for several decades. Intuition is considered a part of higher-level thinking that can help improve mathematical problem-solving abilities. Although many studies have been conducted on mathematical problem-solving, research on intuition as a bridge in mathematical…

The field of computational thinking (CT) is developing rapidly, reflecting its importance in the global economy. However, most empirical studies have targeted CT in K-12, thus, little attention has been paid to CT in higher education. The present scoping review identifies and summarizes existing empirical studies on CT assessments in…

Identifying mathematical interventions that practitioners can implement to improve the mathematical problem solving (PS) of students is a need for the field. Literature on the PS performance of students with disabilities has grown; recently, schema instruction (SI) has been suggested as an evidence-based practice. The purpose of this study was to…

Robust knowledge serves as a common instructional target in academic settings. Past research identifying characteristics of experts' knowledge across many domains can help clarify the features of robust knowledge as well as ways of assessing it. We review the expertise literature and identify three key features of robust knowledge (deep,…

Teachers often look for good sources to find problems motivating students and stiffen the concepts they are going to teach and use in the classroom. This causes the question: "Where can we find good problems that can be used in classrooms?". History of mathematics presents many historical problems which can enrich the classroom…

Research of V. A. Krutetskii on mathematics problem solving processes are considered for their implications for gifted programing. His findings are explained to stress qualitative differences in mathematically gifted students and inadequacy of standardized mathematics achievement tests. (CL)

The authors draw upon both Soviet and American literature to present an overview of the components of story problem solving as it relates to remedial instruction for learning disabled students. Factors within the individual problem solver are explored, and strategies children use in solving problems are examined. Particular attention is paid to…

For the gifted mathematics student, early mastery of concepts and skills in the mathematics curriculum usually results in getting more of the same work and/or moving through the curriculum at a faster pace. Testing, grades, and pacing overshadow the essential role of creativity involved in doing mathematics. Talent development requires creative…

Tested three models of children's mathematics word-problem solving based on developmental differences in quantitative conceptual structures: (1) quantitative relations represented as ordered array of mental objects; (2) numbers represented on two tentatively coordinated mental number lines; and (3) numerical operations represented as objects on…

Women tend to subscribe to a belief that they are less inclined than males to handle numbers, logic, or problem-solving tasks. Upward mobility in occupations is seen to be dependent on math. A list of math anxiety, math avoidance, and math reentry programs given around the country is provided. (MLW)

The paper argues that a relationship between visualization and mathematical problem solving ability exists. Research suggests that visual imagery leads to increased understanding of mathematical concepts at both the primary and secondary levels. Mathematical potential is not necessarily "born." Potential can be created in the least likely students…