To develop second-grade students' confidence and ease, this author presents examples of learning tasks (Number of the Day, Word Problem Solving, and Modeling New Mathematical Ideas) that align with Common Core State Standards for Mathematics and that build mathematical fluency to promote students' creative expression of mathematical…

Early elementary school students are expected to solve twelve distinct types of word problems. A math researcher and two teachers pose a structure for thinking about one problem type that has not been studied as closely as the other eleven. In this article, the authors share some of their discoveries with regard to the variety of…

In the technology-rich twenty-first century, students are required to actively construct their knowledge and collaboratively engage in problem solving by using such skills as adaptability, communication, self-management, and systematic thinking. In accordance with this necessity, science, technology, engineering, and mathematics (STEM) education…

Earth Day is celebrated annually on April 22. Teachers often commemorate Earth Day with their classes by planting trees, discussing important conservation topics (such as recycling or preventing pollution), and encouraging students to take care of planet Earth. To promote observance of Earth Day in an intermediate elementary school classroom, this…

The Common Core State Standards for Mathematics (CCSSI 2010) expect second grade students to "fluently add and subtract within 20 using mental strategies" (2.OA.B.2). Most children begin with number word sequences and counting approximations and then develop greater skill with counting. But do all teachers really understand how this…

Any of the key concepts that students need to know about area measurement are covered in the third-grade expectations detailed in the Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010). However, making sense of area measurement is not always an easy task for students; it takes time. Researchers have found that young children often…

Spatial reasoning, which involves "building and manipulating mental representations of two-and three-dimensional objects and perceiving an object from different perspectives" is a critical aspect of geometric thinking and reasoning. Through building, drawing, and analyzing two-and three-dimensional shapes, students develop a foundation…

This article describes how one of the authors, second-grade teacher Lisa A. Brooks, challenged the raise-your-hand to-speak rule. Her desire to make this change was a result of experiences gained in a graduate class taught by the second author, Juli K. Dixon. Brooks had learned that it is possible to create a classroom community where students…

In this article, Teachers use "studio" time to review videotaped classroom episodes, learn about students' developmental levels in geometry, and increase students' use of mathematical language and vocabulary.This article has a twofold purpose: (1) to share the power of opening the classroom door to a community of professional…

Whole-group classroom discussions about solutions allow teachers to promote reasoning that moves students beyond merely noticing mathematical ideas toward developing a well-connected knowledge of concepts. Creating classroom environments where teachers promote reasoning and engage students in investigating important mathematical phenomena is…

This article showcases the benefits of the alliance the authors have established during the past two years with the Barnes Foundation to add more mathematics activities to their repertoire and to integrate more art into their mathematics lessons. Recently, they decided to focus on activities at the K-grade 2 level that could be used as an on-site…

In this article, the authors begin with a description of an algebraic dance--the translation of composite linear growing patterns into choreographed movement--which was the last component of a research-based instructional unit that focused on fostering an understanding of linear functional rules through geometric growing patterns and…

Teachers have the opportunity to capitalize on a vast array of real-world, two- and three-dimensional objects as they guide students in developing a conceptual understanding of geometric shapes. An important component of the NCTM Standards is to use teaching methodologies that engage children in making real-world connections to the mathematics…

Rather than feeling overwhelmed at the thought of integrating the new Common Core State Standards for Mathematics (CCSSI 2010) into their teaching practice, teachers might view this as an opportunity to deeply embed mathematics into the K-grade 2 curriculum in the same way that literacy has long been rooted into early learning environments.…

Although the Curriculum Principle in "Principles and Standards for School Mathematics" states, "A school mathematics curriculum is a strong determinant of what students have an opportunity to learn and what they do learn," this article seeks to help teachers enhance tasks found in commonly used textbooks to create additional opportunities for…