Growing Problem Solvers provides four original, related, classroom-ready mathematical tasks, one for each grade band. Together, these tasks illustrate the trajectory of learners’ growth as problem solvers across their years of school mathematics.
S. Asli Özgün-Koca, Kelly Hagan, Rebecca Robichaux-Davis, and Jennifer M. Bay-Williams
Jennifer R. Brown
Set sail to explore powerful ways to use anchor charts in mathematics teaching and learning.
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.
This department publishes brief news articles, announcements and guest editorials on current mathematics education issues that stimulate the interest of TCM readers and cause them to think about an issue or consider a specific viewpoint about some aspect of mathematics education.
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.
Math by the Month is a regular department of the journal. It features collections of short activities focused on a monthly theme. These articles aim for an inquiry or problem-solving orientation that includes at least four activities each for grade bands K—2, 3–4, and 5–6. In this issue, the problems present opportunities to reason about many mathematical topics, including patterns and grouping, fractions of a set, ratios, and elapsed time.
Andrew Tyminski, Corey Drake, and Tonia Land
Despite the prevalence of mathematics curriculum materials in elementary classrooms, most current mathematics methods texts provide little or no support for preservice teachers (PSTs) learning to use curriculum materials. To meet this need, we have designed and studied several modules intended to provide PSTs with opportunities to learn about and from the use of curriculum materials. This article describes our research related to 1 of these modules–Addition Starter Sentences. Our results examine the nature of PSTs' developing content knowledge and pedagogical content knowledge, evidenced through their interactions with and reflections on Standards-based curriculum materials. We conclude with implications for mathematics teacher education research and practice.
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.
Donna Christy, Karen Lambe, Christine Payson, and Patricia Carnevale
Standards-based, hands-on activities spotlight the classic story.
E. Paul Goldenberg, June Mark, and Al Cuoco
Although it is necessary to infuse courses and curricula with modern content, what is even more important is to give students the tools they will need in order to use, understand, and even make mathematics that does not yet exist. A curriculum organized around habits of mind tries to close the gap between what the users and makers of mathematics do and what they say (Cuoco, Goldenberg, and Mark 1996, p. 376).