This paper describes a proportional reasoning problem set within a real-life context and a complete analysis of one small group discussion of this problem over the course of a 90-minute block. The seventh-grade students' discourse is described to provide insights into typical mathematical interpretations of this problem, as well as some…

This study examined the structure of middle school students' general epistemological beliefs and domain-specific mathematical problem-solving beliefs by asking whether the 2 belief systems are related and whether they predict students' academic performance. Over 1,200 seventh- and eighth-grade students completed an Epistemological Questionnaire,…

The What Works Clearinghouse (WWC) reviewed interventions to promote middle school students' math knowledge and skills. Because there is some variation in how school districts organize middle school, we considered curricula aimed at students in grades 6 through 9, covering one or more of the following content areas: numbers and operations,…

This article describes the nutrition component of a Home and Career Skills curriculum at Hommocks Middle School (Larchmont, NY) that includes the Breakfast Cafe Webquest, which encourages 7th graders to increase the amounts of fruits and vegetables in their diets as well as reduce serving sizes. Using this Webquest, students "help the Breakfast…

This paper summarizes our analysis of the complexity of ratio problems at Grades 6 and 7, and reports a two-year experiment related to the teaching and learning of rational numbers and proportionality in these grades. Two classes were followed and observed. Part of the teaching material was common to both classes, mainly the objectives and the…

This qualitative study examined individual-level factors that influence adolescents' responses to problem situations involving peers. Interviews were conducted with 106 middle school students (97% African American) from an urban school system. Participants described factors that would make it easier and those that would make it more difficult for…

To examine how conceptual knowledge about fraction magnitudes changes as students' learning progresses, 5th and 7th-grade students were asked to solve fraction magnitude problems that entailed finding a fraction between two given fractions and then to evaluate solutions for similar problems that were modeled for them. When the given fractions…

This study explored the problem-solving schemas developed by 7th-grade pre-algebra students as they participated in a teaching experiment that was designed to help students develop effective schemas for solving algebraic problem situations involving contexts of (1) growth and change and (2) size and shape. This article describes the qualities and…

The purpose of the present article is to give an account of the emergence of knowledge pertaining to the transition from arithmetic to algebra in the course of a debate in a grade 7 classroom. This debate follows two other instances of work: (1) the adidactic interaction between each student and a given problem, (2) the adidactic interaction of…

The aim of this study on 42 seventh graders (ages 12-13) was to determine whether and to what extent students' metacognitive level is inked to their conceptualization and performance in problem solving at school, especially science problems. This hypothesis is supported by a number of studies showing that metacognition is a factor in learning. Two…

According to Piaget's theory, maturation of the nervous system is sufficient for the development of formal thought. If this were the case, the job of the educational system would be small indeed. Rather, maturation determines only the totality of possibilities and impossibilities at a given stage. This study investigates whether instructional…

The "I CAN Learn[R] Mathematics Curriculum" is designed to help ethnically diverse, inner-city students in grades 7 through 10 achieve parity in mathematics and problem-solving skills. It uses an interactive software program to teach pre-algebra and algebra. The "I CAN Learn[R] Algebra 1" course, which was used in all of the…

The study investigated age and gender effects on coping with common stressors among 494 Austrian children and adolescents (age 8-14 years). Participants were subdivided into subgroups of late children comprising third and fourth graders, early adolescents consisting of fifth and sixth graders, and middle adolescents including seventh graders.…

In a previous study, we posited a link between Chinese sixth grade students' problem solving and problem posing based on a pattern-formation strategy (Cai & Hwang, 2002). A similar parallel structure between problem solving and problem posing did not obtain for the U.S. sixth graders in the study. The present study attempts to locate this type of…

The author describes a pilot study to investigate the extent to which learners use imagery in a variety of spatial problems. In order to discover how to encourage pupils to use imagery and thus to become better problem solvers, this study set out firstly to explore how pupils are able to use imagery in a variety of tasks. The tasks involved mental…