The old adage goes, "Parents are their children's first and most important teachers." Yet when it comes to mathematics, parents often feel inadequate to help their children with homework tasks, let alone teach them important content. Compounding the problem of low parental knowledge of mathematics, parents' "perceived" inadequacies or indifference…

The National Council of Teachers of Mathematics (NCTM) and the Australian National Curriculum encourage the integration of literacy and numeracy, and "Teaching Children Mathematics" ("TCM") regularly includes articles on incorporating picture books into the mathematics program. Marston has developed a new framework (2010) to assist teachers in…

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…

Learning through meaningful problem solving is integral in any successful mathematics program (Carpenter et al. 1999). The National Council of Teachers of Mathematics (NCTM) promotes the use of problem solving as a means to deepen understanding of all content areas within mathematics (NCTM 2000). This article describes a first-grade lesson that…

Whether sharing a collection of toys among friends or a pie for dessert, children as young as kindergarten age are keen on making sure that everyone gets their "fair share." In the classroom, fair-sharing activities call for creating equal-size groups from a collection of objects or creating equal-size parts of a whole and are generally used by…

Because fractions and percentages can be difficult for children to grasp, connecting them whenever possible is beneficial. Linking them can foster representational fluency as children simultaneously see the part-whole relationship expressed numerically (as a fraction and as a percentage) and visually (as a pie chart). NCTM advocates these…

Common Core State Standards for Mathematics (CCSSM) is different from the objectives that many teachers have previously experienced in their state frameworks. Although the mathematical topics of the two may be the same, the mathematical expectations within the Standards require a deeper understanding by teachers and students. In this article, the…

Do manufacturers' claims about water projectile toys measure up? It is one thing to assert that a Super Soaker[R] shoots thirty linear feet, but can it really shoot that far? This lesson gives students an opportunity to test the claims, experience measurement in a meaningful context, and analyze data within that context. Although measurement can…

As teachers work to ensure that their students meet and exceed standards set by state and national governing bodies, the need for teacher support becomes greater and greater. Teachers, who play the most important role in a student's education, are faced with a classroom full of children who understand concepts on many different levels. To gain…

As partners in a professional development project, the authors jumped at the opportunity to use a real-life problem to engage elementary and middle school teachers in a one-day exploration of the concept of area. "Length times width"--a common response to the question, "What is area?"--is a rote formulaic expression that applies only to certain…

Asked to complete a decimal-ordering task, several preservice teachers were unable to arrange the values from smallest to largest. Even more surprising to the authors were the number who could solve this task correctly but could not justify their solution by representing each decimal in an area model using a decimal grid. Their preservice teachers…

Cognitively demanding tasks are at the heart of the implementation of the Common Core State Standards in Mathematics (CCSSI 2010). As with all the grades, teachers of grades 5 and 6 are challenged to use tasks that simultaneously address the grade-level Standards as well as the Standards for Mathematical Practice (SMP). Cognitively demanding tasks…

One of the most difficult tasks that classroom teachers face is finding ways to reach all their students and match each student's level of mathematical readiness and performance to the skills they are required to teach. In classrooms and schools, current federal and state requirements have increased the emphasis on accountability for improved…

With the implementation of Response to Intervention (RtI) throughout the United States and the strong evidence that validates the use of RtI as a way of supporting struggling students, teachers need ways to understand and reach tier 2 students within their classrooms. One approach to gaining a better understanding of students' misconceptions is…