"Cognitive Tutor[R] Algebra I," a full year course, delivers instruction in single variable data, simplifying linear expressions, mathematical modeling, solving systems with linear equations, problem solving using proportional reasoning, and powers and exponents. Students work at their own pace to develop problem-solving skills. The…

Reasoning and learning are closely related, both being the methods of solving problems, learning usually results from the process of reasoning. All inventions, discoveries, art, literature and advances in culture and civilization are based on thinking, reasoning and problem solving capacity of human being. A sound reasoning leads to better…

Past research has documented a link between negative problem orientation (NPO) and poor emotional well-being, but little of this research has focused on adolescence or has collected multiple waves of data. The authors conducted a 3-wave longitudinal survey of 841 adolescents in Grades 8, 9, and 10 (428 boys, 411 girls, 2 unidentified). The survey…

Pediatric school psychology is a relatively new subspecialty in the field; however, few specific, prescribed roles have been articulated, and fewer have yielded preliminary efficacy data. In this exploratory study, the acceptability and potential efficacy of conjoint behavioral consultation (CBC) as a model for linking families, schools, and…

The paper describes the integration of web resources and technology as instructional and learning tools in oral history projects. The computer-mediated oral history project centred around interviews with community elders combined with new technologies to engage students in authentic historical inquiry. The study examined learners' affective…

An attempt to implement problem solving as a teacher of ninth grade algebra is described. The problems selected were not general ones, they involved combinations and represented various situations and were more complex which lead to the discovery of Steiner triple systems.

The study investigated the effects of structured and unstructured cooperating groups on students' behaviors, discourse and learning in junior high school. One hundred and sixty-four grade 9 students participated in the study. The students were videotaped as they worked in three to four person, mixed-gender and ability groups on a science-based…

One way of implementing project-based science (PBS) is to use problem-based learning (PBL), in which students formulate their own problems. These problems are often ill-structured, mirroring complex real-life problems where data are often messy and inclusive. In this article, the authors describe how they used PBL in a ninth-grade biology class in…

Research studies have shown that students encounter difficulties in transitioning from arithmetic to algebra. Errors made by high school students were analyzed for patterns and their causes. The origins of errors were: intuitive assumptions, failure to understand the syntax of algebra, analogies with other familiar symbol systems such as the…

This article describes the work of outreach mathematicians introducing the topic of complex variables to eighth and ninth grade students (13- to 15-year-olds) in the US. Complex variables is an area of mathematics that is not typically studied at secondary level. The authors developed seven lessons designed to stimulate students' interest in…

The "No Child Left Behind" legislation requires states to classify schools based on students meeting the state's academic standards. A combination of factors, including scores on state specific tests and nationally normed tests, can result in a school being awarded a low classification or a high classification. In the authors' state,…

The 1972 publication of the Marland Report by the U.S. Commissioner of Education proposed a multifaceted definition of gifted and talented education, enhancing what traditionally had been a focus on academics. Leadership materialized as a component of giftedness, along with general intellectual ability, specific academic aptitude, creative or…

This is a qualitative study of 22 9th graders performing generalizations on a task involving linear patterns. Our research questions were: What enables/hinders students' abilities to generalize a linear pattern? What strategies do successful students use to develop an explicit generalization? How do students make use of visual and numerical cues…

This research study deals with the modes of representation that ninth-graders choose in order to communicate their problem solving paths and justifications, and the relation between these modes of representations and achievement level. The findings are based on analysis of 350 answers to problems that demanded communication of reasoning,…

This paper presents the design and some results of a series of teaching experiments. The design was created to develop a model for everyday math lessons, that describes the conditions which foster or hinder the construction of new mathematical meanings. The development process includes the students' epistemic processes, their social interactions,…