We contribute to the understanding of teacher noticing by focusing on what a teacher may notice in students' mathematical contributions in the context of problem-based lessons. Complementing approaches to research on noticing that focus on individual teachers' perceptual, cognitive, or situated skills, this conceptual article offers four…

This study was conducted at an innovative science, technology, engineering, and mathematics high school, providing a rich contextual description of the teaching and learning at the school, specifically focusing on problem solving and inquiry approaches, and students' motivation, social interactions, and collaborative work. Data were collected…

The findings reported in this paper were generated from a case study of teacher leaders at a state-level mathematics conference. Investigation focused on how participants viewed the mathematical processes of communication, connections, representations, problem solving, and reasoning and proof. Purposeful sampling was employed to select nine…

Rural schools face challenges that are often different than nonrural schools. Resource constraints are particularly acute in rural schools, and they struggle to offer advanced courses and extracurricular programs. The purpose of this paper is to present a descriptive, instrumental case study of an inclusive rural science, technology, engineering,…

The purpose of this qualitative study was: (a) to explore the cognitive and metacognitive processes of mathematics problem-solving discourse of 10-year-old students in Russia, Spain, Hungary, and the United States; and (b) to explore the patterns of social interactions during small group work. Data were analyzed using a cognitive/metacognitive…

The process skills discussed include: observation; estimation; communication; mensuration; and graph construction and interpretation. Two activities for grade 6 and beyond are suggested. (MK)

Observation and interviews of (n=90) second and third graders' mathematical problem-solving behavior found that the children readily attempted unfamiliar problems and used systematic solution processes. Found no significant gender differences. (24 references) (Author/MKR)

Seventy fifth-grade students in Australia were observed as each solved a jigsaw puzzle. Boys obtained higher scores on a measure of cognitive style and took less time to complete the jigsaw task; the two measures were significantly correlated. Uses of tangrams are also discussed. (MNS)

The results of an in-depth analysis of the lab activities found in two popular high school biology textbooks are presented. Activities were rated against 24 task categories that parallel skills or behaviors which reflect scientific inquiry, problem-solving skills, manipulative skills, and observational skills. (25 references) (KR)