## Sorting Rectangles

In this article from the NCTM journal Teaching Children Mathematics, students explore different characteristics of the numbers 1–25 and have opportunities to represent the commutative property of multiplication, construct an understanding of the difference between prime and composite numbers, and explore what makes a number “square.” The exploration is a way to introduce students to the array model of multiplication, a tricky concept for them to construct. They interchange rows and columns until they have worked with arrays many times and in many different contexts.

Related content 1:
http://www.nctm.org/publications/article.aspx?id=31406

## The Importance of Spatial Structuring in Geometric Reasoning

This article from the NCTM journal Teaching Children Mathematics, explains how to help students see the structure of two-dimensional arrays and suggests activities that connect spatial structuring to multiplicative thinking.

Related content 1:
http://www.nctm.org/publications/article.aspx?id=20945

## The Math Forum's Elementary Mathematics Practices Blog

With an Internet history dating back to 1992, the Math Forum @ Drexel brings to Mathlanding a community discussion area focused on the Mathematical Practices in Kindergarten through Grade 5 classrooms. What are teachers doing to encourage their students to develop these practices? What challenges are they encountering? What successes are they experiencing? What ideas are they willing to try?

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## PoW Class Membership: Resources & Strategies for Effective Implementation

After completing this online course, current subscribers of the Math Forum’s Problems of the Week (PoWs) will be familiar with all the resources associated with their PoW membership access. They will be able to make an informed decision about how to start implementing PoWs with their students, and they will have an idea of further steps to try when they are ready. Both PoW membership and this course are available from the Math Forum for a reasonable fee.

Related content 2:
http://mathforum.org/pd/membership/

## Differentiated Math Instruction: Using Rich Problems to Reach All Learners

Rich problems invite a variety of solution strategies. They provide an effective vehicle for accommodating a range of levels and learning styles. In this six-week online course participants will explore strategies for using problem solving to build skills and concepts for struggling students and to provide challenge for those who soar. The course is available from the Math Forum for a reasonable fee.

Related content 2:
http://mathforum.org/pd/rich2/

## No Tears Here! Third Grade Problem Solvers

This article from the NCTM journal Teaching Children Mathematics, describes a year-long professional development project involving the integration of problem solving into the third-grade mathematics curriculum and implications for learning and teaching elementary mathematics.  The article includes four examples of student work.

Related content 1:
http://www.nctm.org/publications/article.aspx?id=22052

## Video of Conversation (goes with above article)

This video from the NCTM site, presents the conversation between a teacher and a student and is referenced by the article "Supporting Children's Problem Solving".

Related content 1:
http://www.nctm.org/eresources/repository/shared/Rex1.mov

## Supporting Children’s Problem Solving

This article from the NCTM journal Teaching Children Mathematics, begins with a video (transcript also provided) of a conversation between a teacher and a student. The article presents several teachers’ responses to the student as he attempts to solve a problem. Teachers’ responses demonstrated four categories of reasoning that are discussed and evaluated as possible strategies when working with students.

Related content 1:
http://www.nctm.org/publications/article.aspx?id=27348

## Research, Reflection, Practice – Place Value: Problem Solving and Written Assessment

“Research, Reflection, and Practice” aims to bridge the gap between research and practice by describing current research and then demonstrating its importance and applicability to practicing classroom teachers. This article about teaching place value includes summaries of research with references to full reports, relevant student work or examples of student dialog, and ideas for action research.

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