In this commentary, the author reflects on four studies that have greatly expanded the knowledge base on effective interventions in mathematics, and he provides four rigorous experimental studies of approaches for students likely to experience difficulties learning mathematics over a large grade-level span (pre-K to 4th grade). All of the…

Big things come in small packages. This saying came to the mind of the author after he created a simple math review activity for his fourth grade students. Though simple, it has proven to be extremely advantageous in reinforcing math concepts. He uses this activity, which he calls "Show What You Know," often. This activity provides the perfect…

This paper presents an argument that language-use in multilingual mathematics classrooms in South Africa is as much a function of politics as it is of cognition and communication. It draws from a wider study focusing on language practices in intermediate multilingual mathematics classrooms in South Africa. In the study the notion of cultural…

The authors of this article, 4th grade and 6th grade teachers at Castle Rock Elementary School in Colorado, describe their efforts to engage their students in learning. Morgan recounts a math lesson in which he confirmed that 4th graders sometimes need extensive preparation and support to translate their impressive insights into the written word.…

How multiplication is usually taught in school and how it could be taught are discussed. Development of understanding is illustrated through children's words and work. (MNS)

The focus in this report is the concept of what it means to "do mathematics" in the context of a group working committee of teachers and researchers committed to reforming mathematics teaching. During a regular meeting of this group of teachers and researchers, the participants explored the mathematical reasoning embedded in one…

Describes a social studies assignment developed for Arizona eighth graders that focuses on Arizona history but also incorporates English, math, and computer programming skills to create a computer program about traveling through the state. Topics discussed include classroom management, computer requirements, community involvement, and interaction…

After 10 years of teaching rule-driven, procedure-based, algorithm-oriented mathematics, an elementary teacher describes how she began to rethink her teaching style after returning to school for a graduate degree. Her rethinking is based on the first of four student teaching events that spanned an entire school year in which she used the…