This paper explores how problem solving is approached in two 6th grade mathematics textbooks and national elementary mathematics curriculum in Turkey. The curriculum and textbooks' problem solving approaches are analysed and compared in the light of three approaches of 'teaching "for," "about" and "through" problem…

Research has demonstrated strong relations between spatial skill and mathematics across ages and in both typical and atypical populations, suggesting that a significant proportion of variance in mathematics performance can be explained by variance in spatial skill. Why do these relations exist and how do they develop? Studies of dimensionality in…

We present the results of a research project on arithmetic-algebraic thinking that was carried out jointly by a team in Mexico and another in Quebec. The project deals with the concepts of variable and covariation between variables in the sixth grade at the elementary level and the first, second, and third years of secondary school--namely,…

This article explores the benefits of using digital technology to support and enhance students' understanding during mathematical inquiry. The use of digital technologies enabled students to focus on the problem-solving aspects of the task such as how to compare and represent the data effectively.

"Connected Mathematics Project" (CMP) is a math curriculum for students in grades 6-8. It uses interactive problems and everyday situations to explore mathematical ideas, with a goal of fostering a problem-centered, inquiry-based learning environment. At each grade level, the curriculum covers numbers, algebra, geometry/measurement,…

Students educated in self-contained special education classrooms and the teachers who serve them are in crisis. Self-contained classrooms are separate from general education classrooms and may be resource classrooms housed within general education schools or separate schools or districts serving primarily students with disabilities.…

Cognitively demanding tasks are at the heart of the implementation of the Common Core State Standards in Mathematics (CCSSI 2010). As with all the grades, teachers of grades 5 and 6 are challenged to use tasks that simultaneously address the grade-level Standards as well as the Standards for Mathematical Practice (SMP). Cognitively demanding tasks…

Gain a new perspective on the sharing of erroneous solutions in classroom discussions. Based on their research in grades four and six, the authors reveal how student-to-student correction of errors promotes mathematical reasoning and understanding. Tips for teachers include strategies for using students' errors to encourage reasoning during…

This study builds on two lines of research that have so far developed largely separately: the use of additive methods to solve proportional word problems and the use of proportional methods to solve additive word problems. We investigated the development with age of both kinds of erroneous solution methods. We gave a test containing missing-value…

We examined the problem-solving behaviors that 5th, 6th, and 7th graders used to negotiate a novel recreational video game. Students were characterized as frequent or infrequent players and instructed to think aloud during game play for 20 consecutive minutes. Comments were used to make inferences about the students' problem-solving behaviors…

A multiple baseline design across teachers was used to evaluate the effects of a systematic, response-to-intervention (RTI) approach on rates of desired teacher behavior. Specifically, teachers whose rates of specific, contingent praise were nonresponsive to typical schoolwide positive behavior support training (primary intervention tier) were…

The use of high-stakes assessment to measure students' mathematical performance has become commonplace in schools all over the world. Such assessment instruments provide national or international comparisons of student (and potentially teacher performance). Each form of assessment is specialised in nature and is characteristic of the culture and…

This contribution reports about a seven-month long video-based study in two regular Flemish sixth-grade mathematics classrooms. The focus is on teachers' approaches towards problem solving. In our analysis we distinguished between a paradigmatic-oriented (focus on the mathematical structure) and a narrative-oriented (focus on the contextual…

The article deals with the way in which authority was established and interpreted by teachers and students in two Flemish sixth-grade mathematics classrooms. Problem-solving lessons during a seven-month observation period were analysed regarding three aspects of teacher-student interactions that explicitly or implicitly reflect who bears…

The present study compared psychological adjustment of 158 adolescents with vision impairment and 158 sighted adolescents with a matched-pair design using the Strengths and Difficulties Questionnaire. Adolescent self-reports and teacher reports on emotional problems, peer problems, and total difficulties showed higher scores in students with…