This book presents a schoolwide model of instructional support designed to make the most of available time, resources, and personnel--one that is also fully compatible with other problem-solving models, such as response to intervention. The authors provide a comprehensive and cohesive framework for linking assessment and intervention. They show…

Drawing on Cultural Historical Activity Theory (CHAT), funds of knowledge, and third space, this article presents a model for practitioners and researchers to think about how Latina/o, bilingual children develop explicit mathematics strategies through multilingual and multigenerational interactions. Using data collected through fieldwork in an…

Standards drive critical elements of the American educational system--the curricula that schools follow, the textbooks students read, and the tests they take. Similarly, standards establish the levels of performance that students, teachers and schools are expected to meet. To succeed in the 21st century, all students will need to perform to high…

With national attention on scaling up the implementation of Response to Intervention, problem solving teams remain one of the central components for development, implementation, and monitoring of school-based interventions. Studies have shown that problem solving teams evidence a sound theoretical base and demonstrated efficacy; however, limited…

The "Curriculum and Evaluation Standards for School Mathematics" (1989) provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. The document not only addresses what mathematics students should…

This guide was written under the basic assumptions that the mathematics curriculum must continuously change and that mathematics is most effectively learned through a spiral approach. Further, it is assumed that the audience will be members of district mathematics curriculum committees. Instructional objectives have been organized to reveal the…

Described is an alternative first year algebra program developed to bridge the gap between the NCTM's Curriculum and Evaluation Standards and institutional demands of schools. Increased attention is given to graphing as a context for algebra, calculator use, solving "memorable problems," and incorporating geometry concepts, while…

Discusses the use of games to learn mathematics both in the classroom and at home. Games promote nonroutine learning, cooperative learning, problem solving, communication, and reasoning. Included are store-bought games, games made specifically for educational purposes, and multicultural games. A table lists many common games and their uses. (JAF)

Most U.S. states have developed sophisticated assessment programs to evaluate student achievement and hold schools, teachers, and students accountable for learning important content. The No Child Left Behind Act of 2001 (NCLB, 2002) has placed further pressure on educators and administrators to ensure that all students are learning. Yet, some…

The results of the Romanian pupils on international tests PISA and TIMSS in Mathematics are below the average. These poor results have many explications. In this article we compare the Mathematics problems given on these international tests with those given on national tests in Romania.

This study investigated mathematics teachers' professional knowledge among elementary school teachers exposed to a professional training program that either supported self-regulated learning (SRL) or offered no SRL support (no-SRL). The SRL support was based on the IMPROVE metacognitive self-questioning method that directs students' attention to…

To develop meaningful instructional programs for technology education, goals need to be in place to direct the outcomes of curriculum development and teaching. Goals are program terminal outcomes that focus curriculum writers or teachers who structure content for learners. Goals provide direction so content can be delivered for long-term impact to…

This paper deals with a course intended to teach individuals a method of convergent thinking, or "idea focusing", in seeking inventive solutions to problems and designing innovative artefacts. The course participants (mathematics, science, or technology teachers) learned a range of "inventive principles" often used for problem-solving in…

The goal of this first major report from the Western Reserve Reading Project Math component is to explore the etiology of the relationship among tester-administered measures of mathematics ability, reading ability, and general cognitive ability. Data are available on 314 pairs of monozygotic and same-sex dizygotic twins analyzed across 5 waves of…

We examine whether the array representation can support children's understanding and reasoning in multiplication. To begin, we define what we mean by understanding and reasoning. We adopt a "representational-reasoning" model of understanding, where understanding is seen as connections being made between mental representations of concepts, with…