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It is a “read”-letter day when storybooks, thinking strategies, and physical materials can use a splash of whimsy and fun to introduce multiplication facts to third graders.

A series of diagnostic questions helps this teacher better assess and comprehend the misconceptions of third graders who struggle with multiplication.

Collaborative engagement provides an opportunity for students to construct and solidify their own knowledge and understanding of important mathematical ideas. According to Van de Walle, Karp, and Bay-Williams, “learning is enhanced when the learner is engaged with others working on the same idea” (2015, p. 52). In allowing students to work with their peers to practice problems and construct important mathematical connections, the students build on their combined prior knowledge to formulate newfound ideas and conjectures. We recognize that grouping students so that each group will function in a productive manner can often be difficult. Therefore, we have devised this activity that allows students to work together and communicate with ten different students individually. In a usual group setting, the students would get to work with one or two other students, but the format of this activity allows for more forms of mathematics communication and collaboration.

The Teaching and Learning principle in Principles to Actions: Ensuring Mathematical Success for All (NCTM 2014) states,

This variation of Simon's (1995) rectangle exploration will have students investigating area in a conceptual manner that goes beyond tiling and formulas. Each month, elementary school teachers are given a problem along with suggested instructional notes; are asked to use the problem in their own classrooms; and are encouraged to report solutions, strategies, reflections, and misconceptions to the journal audience.

Each month this section of the Problem Solvers department features a new challenge for students. Readers are encouraged to submit problems to be considered for future Problem Solvers columns. Receipt of problems will not be acknowledged; however, problems selected for publication will be credited to the author. Find detailed submission guidelines for all departments at www.nctm.org/tcmdepartments.

Key elements can enhance teacher candidates' understanding, interest, and confidence with learning and teaching mathematics while decreasing their math-related anxiety and fear.

Here is support for coaches who work in diverse contexts to integrate high-leverage teaching and coaching practices with specific attention to mathematics content.

Set sail to explore powerful ways to use anchor charts in mathematics teaching and learning.

This month's problem offers students an opportunity to determine where we find math in the world, interpret it, and engage in mathematical modeling. Each month, elementary school teachers are presented with a problem along with suggested instructional notes and asked to use the problem in their own classrooms and report solutions, strategies, reflections, and misconceptions to the journal audience.