This article includes an original artwork using geometry. Art such as this can foster understanding and appreciation of fundamental concepts across fields.
Julie M. Amador, David Glassmeyer, and Aaron Brakoniecki
This article provides a framework for integrating professional noticing into teachers' practice as a means to support instructional decisions. An illustrative example is included based on actual use with secondary students.
Patricia F. Campbell, Masako Nishio, Toni M. Smith, Lawrence M. Clark, Darcy L. Conant, Amber H. Rust, Jill Neumayer DePiper, Toya Jones Frank, Matthew J. Griffin, and Youyoung Choi
This study of early-career teachers identified a significant relationship between upper-elementary teachers' mathematical content knowledge and their students' mathematics achievement, after controlling for student- and teacher-level characteristics. Findings provide evidence of the relevance of teacher knowledge and perceptions for teacher preparation and professional development programs.
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.
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.
As we launch the 2012–2013 academic year, we find ourselves positioned for the natural renewal of focus and energy that often accompany presidential election years. We recognize that in addition to the weak economy, state and national reductions to education resources can create their own challenges to the mathematics education community as we adopt common curriculum standards. More than forty U.S. states are collectively endeavoring to meet the challenge of understanding and implementing the Common Core State Standards for Mathematics (CCSSM) with fidelity to both the Content and the Mathematical Practices (CCSSI 2010). Other states and regions we serve are also renewing their commitment to quality mathematics instruction and assessment that meets high standards.