This paper reports a part of a study on the construction of mathematical meanings in terms of development of semiotic systems (gestures, speech in oral and written form, drawings) in a Vygotskian framework, where artefacts are used as tools of semiotic mediation. It describes a teaching experiment on perspective drawing at primary school (fourth…

This article examines important geometric concepts embedded in the shape and design of natural and manufactured objects. The Whitins first describe fourth graders exploring why manhole covers are circles. Then the authors offer a range of activities to demonstrate how inquiring about shape in botany, geology, biology, and industry can effectively…

This study aimed at analysing traditionally taught children's acquisition and use of shortcut strategies in the number domain 20-100. One-hundred-ninety-five second, third, and fourth graders of different mathematical achievement levels participated in the study. They were administered two tasks, both consisting of a series of two-digit additions…

The Soviet Union collapsed more than 20 years ago, but the traces left in occupied countries by this monstrous system still affect the lives of millions of people. Under the glittering surface of newsworthy events that regularly appear in the mass media, there are many other wounds hard to heal. The system of education is one of the social…

Purpose, scope, and method of study: The primary purpose of this study was to examine the relationship between teacher-licensure level in the New Mexico Three Tiered Licensure (NM 3-TL) System and gains in student academic achievement in reading and mathematics in grades four and five. A secondary purpose was to determine whether student…

Research findings indicate that specific instructional strategies, such as the use of real-world examples and independent learning activities, are positively related to mathematics achievement. This study was designed to investigate relationships between classroom instructional strategies and mathematics achievement of elementary-school students…

The present study takes an interdisciplinary mathematics-physics approach to the acquisition of the concept of angle by children in Grades 3-5. This paper first presents the theoretical framework we developed, then we analyse the concept of angle and the difficulties pupils have with it. Finally, we report three experimental physics-based teaching…

'This action research study was conducted on a fourth grade rural classroom in Orange County, N.Y. for the purpose of determining if the use of the VoiceThread program will affect student performance in mathematics writing. A baseline of student performance on this measure was administered in the fall of 2010 using the NYS Holistic rubric of a 3…

This article describes how teachers can use students' conversations to assess their mathematical understanding. The authors draw on their own classroom experiences to show what they learned about planning for future lessons based on discussions in their own classrooms.

Interspersing easy problems among challenging problems has been shown to both increase students' preference for completing math worksheets and the fluency with which they complete challenging problems. Although early research examining the interspersal procedure in mathematics was conducted with college-age students, there are a growing number of…

Children sometimes solve problems incorrectly because they fail to represent key features of the problems. One potential source of improvements in children's problem representations is learning new problem-solving strategies. Ninety-one 3rd- and 4th-grade students solved mathematical equivalence problems (e.g., 3+4+6=3+__) and completed a…

This study examines the mediating role of homework in the daily practice of a middle-school mathematics teacher and her colleagues in Shanghai. It aims to explore how a system of homework activities mediates and engenders a cultural pedagogy characterized by transforming errors into resources for teaching and learning. The transformation itself…

To ensure reliable, accurate, and timely data, which are necessary to monitor the progress of education in the United States, Congress has mandated that the National Center for Education Statistics (NCES) produce an annual report, "The Condition of Education." This year's report summarizes important developments and trends in education…

This nonexperimental, quantitative, cross-sectional, explanatory study (Johnson 2001, p. 10) investigated the differences between a reform-based elementary school mathematics program, traditional elementary school mathematics programs, and General Education student achievement in high-socioeconomic districts on the New Jersey Assessment of Skills…

Trends in International Mathematics and Science Study raised the concern that the United States (US) mathematics teachers place less emphasis on topics and teach a variety of content strands (Goldsmith, Mark & Kantrov, 2000; Kerachsky, 2008). The overall pattern in the US mathematics classrooms today is that primary and upper elementary…