Share a teacher's ultimately empowering experience of transitioning into an ill-defined, unanticipated leadership position.
Lauren J. Rapacki and Dionne I. Cross Francis
Deann Huinker, Steven Leinwand, and Daniel Brahier
The knowledge of fractions and decimals that children develop in the elementary grades provides an essential foundation for the study of algebra and more advanced mathematics, but most teachers and students consider the topic challenging. Share your approaches to facilitating children's understanding of fractions and decimals. What classroom activities and ideas do you use to help children make sense of fractions and decimals as numbers, benchmarks, measures, quotients, or as operators? The TCM Editorial Panel invites you to share your ideas on developing K–grade 6 students' number sense for fractions and decimals. We are especially interested in manuscripts that describe ideas that have been informed by research and implementation in classrooms.
Shiv Karunakaran, Ben Freeburn, Nursen Konuk, and Fran Arbaugh
Preservice mathematics teachers are entrusted with developing their future students' interest in and ability to do mathematics effectively. Various policy documents place an importance on being able to reason about and prove mathematical claims. However, it is not enough for these preservice teachers, and their future students, to have a narrow focus on only one type of proof (demonstration proof), as opposed to other forms of proof, such as generic example proofs or pictorial proofs. This article examines the effectiveness of a course on reasoning and proving on preservice teachers' awareness of and abilities to recognize and construct generic example proofs. The findings support assertions that such a course can and does change preservice teachers' capability with generic example proofs.
In addition to differentiating and developing curriculum, this teacher's transition to coaching in an early childhood setting involves a complex blend of mentoring teachers, teaching students, and discovering resources.
Kimberly M. Lilienthal
Collections of short activities, Math by the Month articles aim for an inquiry or problem-solving orientation focused on a unifying theme and include four activities each for grade levels K–2, 3–4, and 5–6. In anticipation of October's Fire Prevention Week, September's problems involve firefighters and real-life math applications.
Renee Parker and M. Lynn Breyfogle
This student-friendly rubric helped improve third graders' competencies when explaining solution strategies in writing.