Over several years, Clark Pleasant Community School Corporation (CPCSC) schools have dedicated significant professional development hours and time to develop Essential Learnings (ELs) along with proficiency scales that could guide the content of classroom assessments used to determine student mastery. This report presents findings from statistical…

The Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) emphasize the Standards for Mathematical Practice (SMP) that describe processes and proficiencies included in the NCTM Process Standards (NCTM 2000) and in the Strands for Mathematical Proficiency (NRC 2001). The development of these mathematical practices should happen in…

In this article the author describes a problem posed to his class, "How many squares are there on a checkerboard?" The problem is deliberately vague so that the teacher can get the students to begin asking questions. The first goal is to come to an agreement about what the problem means (Identify the problem). The second goal is to get…

This is an activity for younger learners in which the concepts of relative frequency and probability are explored, illustrating how a creative, non-transmission teaching approach using bottle tops can enable students to develop their understanding in an engaging fashion and at almost no cost.

In this study we investigated the effect of the request to reword the text of problematic word problems on the occurrence of realistic answers. We proposed the activity of rewording word problems to fifth grade pupils either working individually or in dyads. We found that the rewording the problems while working individually had no effect, while…

In this article, Amanda Jansen, Dawn Berk, and Erin Meikle investigate the impact of mathematics teacher education on teaching practices. In their study they interviewed six first-year teachers who graduated from the same elementary teacher education program and who were oriented toward teaching mathematics conceptually. They observed each teacher…

Critics of test-based accountability warn that test preparation has a negative influence on teachers' instruction due to a focus on procedural skills. Others advocate that the adoption of more rigorous assessments may be a way to incentivize more ambitious test preparation instruction. Drawing on classroom observations and teacher surveys, we do…

School-university partnerships also known as professional development school (PDS) partnerships provide potential for universities and schools to establish partnerships that can benefit university faculty, school teachers, university students, and school students. This study examines the impact of a PDS partnership in which the author served as a…

In this article, the authors illustrate how the practice of number strings--used regularly in a classroom community--can simultaneously support computational fluency and building conceptual understanding. Specifically, the authors will demonstrate how a lesson about multi-digit addition (CCSSM 2NBT.B.5) can simultaneously serve as an invitation to…

Early math ability is one of the best predictors of children's later success in school. Because children's learning begins in the home, families are fundamental in shaping children's interest and skills in math. The experience of learning and doing math, however, looks different from the instruction that was offered when most adults were in…

This article is a report on a teacher study group that focused on three elementary teachers' perceptions of mathematical modeling in contrast to typical mathematics instruction. Through the theoretical lens of figured worlds, I discuss how mathematics instruction was conceptualized across the classrooms in terms of artifacts, discourse, and…

This report provides a description of the development process, field testing, and psychometric properties of a student mathematics test designed to assess grades K, 1, and 2 student abilities. The test was administered to 4,535 participating grade K, 1, and 2 students in 66 schools located in 9 public school districts in Florida during spring…

This article is located within the literature arguing for attention to Big Ideas in teaching and learning mathematics for understanding. The focus is on surveying the literature of Big Ideas and clarifying what might constitute Big Ideas in the primary Mathematics Curriculum based on both theoretical and pragmatic considerations. This is…

In recent years, national organizations, mathematics educators, and policy makers have called for the development of elementary school mathematics coaches to improve mathematics teaching and learning in elementary schools. The literacy field has found success and promise in the work of instructional coaches, and the mathematics education community…

Recent documents suggest that all students, even young children, should have opportunities to engage in reasoning and proof (CCSSI 2010; NCTM 2000, 2006, 2009). One mathematical practice that is central to reasoning and proof is making conjectures (CCSSI 2010; NCTM 2000; Stylianides 2008). In the elementary grades, "formulating conjectures…