Facilitating productive discussions in the mathematics classroom is a challenge for many teachers. Discourse--student communication of mathematical ideas with teachers and peers--provides a platform on which students share their understanding, clarify misperceptions, and evaluate ideas. If students are unable to access and participate in…

The National Council of Teachers of Mathematics' (NCTM's) "Principles and Standards for School Mathematics" (2000) outlines fi ve Process Standards that are essential for developing deep understanding of mathematics: (1) Problem Solving; (2) Reasoning and Proof; (3) Communication; (4) Connections; and (5) Representation. The Common Core…

The study of functions has traditionally received the most attention at the secondary level, both in curricula and in standards documents--for example, the Common Core State Standards for Mathematics (CCSSI 2010) and "Principles and Standards for School Mathematics" (National Council of Teachers of Mathematics [NCTM] 2000). However, the…

We present scaling outcomes for mathematics assessments used in the fall to screen students at risk of failing to learn the knowledge and skills described in the National Council of Teachers of Mathematics (NCTM) Focal Point Standards. At each grade level, the assessment consisted of a 48-item test with three 16-item sub-test sets aligned to the…

Mathematics can be a difficult topic both to teach and to learn. Word problems specifically can be difficult for students with disabilities because they have to conceptualize what the problem is asking for, and they must perform the correct operation accurately. Current trends in mathematics instruction stem from the National Council of Teachers…

"Mathematics in Context" is a middle school mathematics curriculum for grades 5 through 8. It was developed to align with the 1989 National Council of Teachers of Mathematics (NCTM) Curriculum and Evaluation Standards. It is also based on the Dutch Realistic Mathematics Education approach of engaging students in understanding real-life…

Natural disasters often receive massive media attention. The headlines can engage students to think mathematically and scientifically about the world around them. 'Principles and Standards for School Mathematics' explicitly encourages instruction where students "recognize and apply mathematics in contexts outside of mathematics" (NCTM…

The enVisionmath 2.0 curriculum was implemented by a medium-sized school district to improve achievement for all elementary students because the district felt that students were underperforming in mathematics. The belief of underperformance mirrors the performance of U.S. students on international measures. For instance, the performance of U.S.…

The purpose of this correlational study was to examine the relationship among the mathematical self-efficacies, mathematical teaching self-efficacies, and instructional practices of elementary teachers. This study was also designed to determine how these variables influence an individual teacher's QDI in relation to MCT2 math scores in grades 3-5.…

How can we, as teachers, encourage students to move from drawing geometric objects to constructing them and thereby build their mathematical reasoning skills? One way to encourage students to construct instead of draw shapes and to help students develop more robust understandings of geometric relationships and constructions is to use interactive…

This study examined the performance gap experienced by high achieving grade four and five students at the Kallang International Day School (KIDS) who were not demonstrating growth in math results from fall to spring as measured by the Measures of Academic Progress (MAP) test (NWEA, 2017). The purpose of this study was to apply the gap analysis…

This article shares two activities geared toward students in middle school that engage students in analyzing measures of center, specifically the arithmetic mean, and using transnumerative thinking with the ultimate goal of improving students' statistical literacy. Both activities support the Common Core standard, 6.SP.B.5 "Summarize and…

Previous norms for the easyCBM assessment system were computed using scores from all students who took each measure for every grade and benchmark season (fall, winter, and spring). During the 2013-­14 school year, new national norms were developed to more accurately (proportionately) represent reading and mathematics performance by two variables:…

Algebra is often described as the gateway to higher mathematics (Carpenter, Franke, & Levi, 2003; Kaput, 2008; Kaput & Blanton, 2001; Mason, 2008). Unfortunately, many students do not navigate this gateway successfully. Kaput (2008) and Mason (2008) suggested that this is due in part to the abrupt switch from arithmetic to algebra that…

The NCTM calls for the use of rich tasks that encourage students to apply their own reasoning to problem situations. When students work through algebraic generalization tasks, their reasoning often elicits a variety of strategies (Lannin 2003; Stacey 1989; Swafford and Langrall 2000). Challenges for teachers include facilitating student awareness…