The authors investigated the effects of online discussion embedded within metacognitive guidance on mathematical literacy and self-regulated learning (SRL). They compared 4 instructional methods: online discussion embedded within metacognitive guidance (Online+Meta), online discussion without metacognitive guidance (Online), face-to-face…

Teachers are expected today to assess student understanding as an integral part of instruction, using a combination of various assessment methods and tools, among which are observing students solve problems in class and listening to their mathematical discussions. The aim of our study is to explore what it might mean for a teacher to hear students…

This study, part of a narrative classroom inquiry into the teaching and learning of mathematics in a Canadian elementary classroom, emerges from the three years I was a participant-observer in Janine O'Neil's 3rd/4th-grade classroom at Bay Street Community School. Drawing on the curriculum commonplaces of teacher, social milieu, subject matter,…

Schematic models have been used extensively in educational research to represent relationships between variables diagrammatically, including the interrelationships between factors associated with teachers' beliefs and practices. A review of such models informed the development of a new model that was used to plan an investigation into primary…

This brief report documents growth in mathematics achievement during the high school years and its relationship to differential course taking in mathematics. Data are taken from the National Education Longitudinal Study of 1988 (NELS:88), which was designed to monitor the transition of the nation's 1988 eighth graders as they progress from junior…

This study examined ways in which two independent variables, peer collaboration and the use of a specific tool (the TAPS interface), work together and individually to shape students' problem-solving processes. More specifically, the researchers were interested in determining how collaboration and TAPS use cause metacognitive processes to differ…

HyperProb is a Hypercard tutoring system designed to help students develop an effective step-by-step schema for solving probability problems. With this program, students are able to select areas they wish to study via hypermedia links and develop an understanding of terminology and procedures at their own pace with continued reinforcement. Nine…

This teacher support packet is based on Oregon's Academic Content Standards and Performance Standards which require higher skills of Oregon students at all grade levels. Under these standards, in order to receive a Certificate of Initial Mastery and at benchmark grade levels, students need to achieve a specific score on the statewide assessment…

Significant steps have been taken by the Mathematics, Engineering, Science Achievement (MESA) project since its formation in 1970. The founders of MESA began a campaign, first in high schools, and later in middle and elementary schools, to convince educators, parents, and students of the importance of raising standards for the minority children…

This study examined children's problem solving strategies by testing the verbal and mathematical abilities of 52 second-grade and 51 fourth-grade students. After being identified as either reflective or impulsive, based on Kagan's Matching Familiar Figures Test, the children were given grade-appropriate mathematical and verbal reasoning problems…

This paper analyzes the effects of ability grouping on middle school math and science achievement, attempting to account for these effects in terms of measurable classroom experiences of students. It is hypothesized that grouping effects operate through classroom instructional differences. Data collected from a national sample of public school…

This book reviews alternative assessment. Suggestions include portfolios, interviews, observations, journals, and tests utilizing various rubrics. This book contains suggestions and materials that teachers can use to assess students' progress in problem solving, reasoning, and communication. Many performance tasks and problem-specific rubrics for…

In response to a survey questionnaire, 278 elementary school teachers and secondary school mathematics, science, and social studies teachers in Texas expressed opinions that the teaching of problem solving is important and that it can be taught successfully. While most of the teachers reported that teaching of problem solving was not encouraged in…

In this paper are discussed recent efforts to provide preservice mathematics teachers with opportunities to connect elementary teaching methods and content with the content and methods of secondary school mathematics. Through an in-depth exploration of the game, Shut the Box, preservice elementary and secondary mathematics teachers thoughtfully…

This guide summarizes and evaluates 48 educational software packages for special educators working on the specific skill areas of keyboarding, language arts, math, personal/social skills, problem solving, readiness, and reading. Each review is written by a teacher and covers strengths and weaknesses of the software, suggested activities for its…