Flexibility in transforming algebraic expressions is recognized as fundamental for a rich procedural knowledge. Here, flexibility in-depth is proposed as the ability to apply one strategy to a wide range of unfamiliar expressions. In this study, design experiments with four groups of students were conducted to support students' flexibility…

Research shows that school-wide positive behavior supports (SWPBS) can be an effective alternative to traditional reactive, punitive approaches to problem behavior. However, few studies examine the use of the approach as part of a comprehensive school improvement process involving academic as well as behavioral goals, particularly with regard to…

The purpose of this study is to enhance our understanding of how students listen and attend to multiple solutions proposed by their classmates during the activity of comparison. This study examines ten consecutive lessons in each of the two eighth-grade classrooms in Tokyo that are organized in the style of "structured problem solving".…

It is a widely known fact that gifted students have different skills compared to their peers. However, to what extent gifted students use mathematical thinking skills during probability problem solving process emerges as a significant question. Thence, the main aim of the present study is to examine 8th grade gifted students' probability…

Educational systems throughout the world serve students from diverse populations. Often students from minority populations (i.e. racial, ethnic, linguistic, cultural, economic) face unique challenges when learning in contexts based on the cultural traditions and learning theories of the majority population. These challenges often leave minority…

Computational estimation is an important skill necessary for students' mathematical development. Students who can estimate well for computations rely on an understanding of many mathematical topics, including a strong number sense, which facilitates understanding the mathematical operations and contextual evidence within a problem. In turn, good…

Two functionally-indicated choice-making interventions were implemented by a classroom teacher to determine the effects on the percentage of task completion, accuracy, and classroom disruption for 9 sixth through eighth grade participants with emotional and behavioral disorders in a residential math classroom using a reversal design. Results…

The present study explores the extent to which maternal attachment and teacher--student attachment-like relationships explain the socioemotional adaptation of students with disabilities. Participants consisted of 65 dyads of homeroom teachers and their students (from a middle-to-low-class area in Northern Israel) with learning disabilities (LD),…

This article reports on students' problem-solving approaches across three representations--number lines, coordinate planes, and function graphs--the axes of which conventional mathematics treats in terms of consistent geometric and numeric coordinations. I consider these representations to be a part of a "hierarchical representational…

In this article, the authors present three adolescent Latinas' perceptions of ideal mathematical competencies, their perception of their individual "abilities" in mathematics, and their work on a mathematics problem-solving task. Results indicate that these Latinas recognize flexible mathematics as the ideal mathematical competency in…

The RE4MUL8 Project involved the creation of an online/mobile resource for Intermediate Division (Grade 7 and 8) teachers of mathematics. This resource showcases video documentaries of seven key mathematics topic lessons (fractions, integers, proportional reasoning, composite shapes and solids, solving equations, and, patterning and algebraic…

In recent years, the topic of integrating history to mathematics lessons in teaching-learning processes has been frequently discussed among researchers. The main aim of this study is to present an example activity which enriched with history of mathematics and to take the views of students about teaching course in this way. In addition, to create…

Making decisions about the production and use of chemical substances is of central importance in many fields. In this study, a research team comprising teachers and educational researchers collaborated in collecting and analyzing cognitive interviews with students from 8th grade through first-year university general chemistry in an effort to map…

This study evaluated a comprehensive mentoring program on selected at-risk students with specific school problems (attendance, discipline referrals, and core area grades). The sample included youths in Grades 4-8 who differed on some characteristics including grade-level, ethnicity, and gender. For the purpose of this mixed methods study, the…

Researchers and educators support the idea of providing authentic literacy experiences to students. However, a critical misconception of the locus of authenticity exists; the focus has generally been on making tasks authentic to college, careers, or researcher-determined notions of authenticity rather than making tasks authentic to students and…