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## What, how, Who: Developing Mathematical Discourse

A collaborative classroom, an open-ended problem, and a what-how-who structure can build students' reasoning skills and allow teachers to recognize all classroom contributions.

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## Jason's Scramble

A cartoon exploring a problem about unscrambling numbers is coupled with a full-page activity sheet.

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## That's my Number

An extension of classic number talks, this game builds students' fluency in number operations and connects children's lives to mathematical thinking, opening avenues for equity and diversity-based mathematics teaching. Postscript items are designed as rich grab-and-go resources that teachers can quickly incorporate into their classroom repertoire with little effort and maximum impact.

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## Sift like Eratosthenes

The concrete, pictorial, and abstract methods of this lesson give students access to investigate, isolate, define, and use prime numbers.

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## Using Mancala in the Mathematics Classroom

Adapting the centuries-old game of mancala provides basic exercises on mathematical modeling.

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## Everybody, SCATteR

Skip counting around the room (SCATR) is a strategy that promotes numerical fluency and attention to number relationships. Variations of SCATR for students in K'grade 6 are shared.

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## 5 Strategies for Scaffolding Math Discourse with ELLs

Eliminate obstacles to effective classroom communication with these research-tested suggestions.

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## Running a Rectangle

### little problems with big solutions

Students are asked to solve a problem that involves running around a rectangle.

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## Hanging Around with Platonic Solids

The Platonic solids, also known as the five regular polyhedra, are the five solids whose faces are congruent regular polygons of the same type. Polyhedra is plural for polyhedron, derived from the Greek poly + hedros, meaning “multi-faces.” The five Platonic solids include the tetrahedron, hexahedron, octahedron, dodecahedron, and icosahedron. Photographs 1a-d show several regular polyhedra

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## Another encounter with the Alien Numbers problem

Students must actively engage in exploring math. That is why I am always looking for tasks that will allow my students to to explore problems using the Common Core's (CCSSI 2010) eight Standards for Mathematical Practice (SMP). These standards are vital for developing a deepening understanding of math. They allow students to cultivate skills and thought processes that aid in wiring their brains into being deep thinkers and problem solvers. These skills transcend the classroom and are needed to be successful in the world. I also want my students to revisit ideas that we have already touched on and continue to examine.