The speakers will share a model using professional collaboration among teachers to develop instruction through problem solving in grades K-8 classrooms.

Under the Common Core State Standards for Mathematics (CCSSM), which topics related to fraction addition will elementary teachers cover? Which skills can high school teachers hope that students will have already practiced? Within and beyond CCSSM, how can we teach addition of ratios of integers with methods that extend to ratios of polynomials? We will look at various perspectives.

Teachers who know the mathematics they teach are better at teaching it to their students. Teachers need to understand how English mathematics language challenges English language learners. This presentation will give teachers insight into the interplay of language, culture, and mathematics understanding.

Explore applications of integers, make connections in multiple domains, explore students' misconceptions and strategies, and enhance pedagogical and content knowledge to improve students' conceptual understanding, which leads to flexibility when applying that knowledge to new situations.

This session will discuss the relationship between equity and rigor. The definition of rigor one chooses determines which students appear to succeed and which do not. The speakers will present definitions of rigor from a variety of sources; share examples of rigorous, classroom-based mathematical task; and discuss implications of these definitions and tasks for increasing equity in the mathematics classroom.

This fast-paced session will stimulate participants to think about practical ways to bring about change in their classrooms and districts. One of the authors of NCTM's Principles to Actions, Daniel Brahier, will spotlight changes in curricular and assessment practices at the secondary level that can assist with implementation of the Common Core State Standards.

Mike North, who is the mastermind behind Discovery Channel's Prototype This! was the Closing Session speaker at the NCTM 2015 Annual Meeting & Exposition in Boston.

This presentation will give straightforward advice on how to teach mathematics to ELLs. The speakers will describe strategies for facilitating classrooms discussions, helping ELLs read and interpret mathematics textbooks, and helping them tackle word problems.

Teachers will be introduced to design projects that incorporate the ideas of engineering with mathematics content, including consumer math, measurement, geometry and statistics. Participants will be given the opportunity to work in teams to create one of the designs in the session.

Students can draw on informal reasoning and life experience to make sense of quantities and their relationships. I will share student work along with video episodes of middle and high school students reasoning about quantities that change together. Learn ways to support and inquire into your students' reasoning.

Discussing ideas in math class facilitates understanding, but ELLs may be at a disadvantage. This session will show teachers how to structure experiences so ELLs can accomplish two goals-developing their mathematical thinking and, at the same time, developing proficiency in English.

The CCSSM and NCTM share a view that important mathematics includes both content and mathematical processes. Examine connections between CCSSM standards for mathematical practice and NCTM Process Standards, and their respective implementations, as a key to improving instruction and students' learning and to closing the achievement gap.

Learn how to use multiple representations to help students in their problem solving. Examples will include solutions with multiple representations and how different representations can support different types of learners

  Freeman A. Hrabowski spoke about his love of mathematics as he delivered the Iris M. Carl Equity Address.

A class of fourth-grade students with learning disabilities used investigative activities to learn multiplications and division. The students adapted many of the activities to express their individual interest, to challenge their own thinking, and to represent and communicate their mathematical knowledge.

Pedro Noguera, a leader in education reform, will offer a dynamic, profound perspective on the challenges of racial inequality and diversity. He tackles the problems of race relations, desegregation, vouchers, and violence within schools and gives some solutions that you can use to bring equal opportunity in education to our schools.

Developing students' number sense entails multiple and varied experiences over time. Using concrete, visual, and symbolic representations can facilitate this process. We will share specific classroom examples to highlight how ot select, make, use, and link representations effectively to build and enhance students' number sense.

 What makes mathematics educators passionate?  Watch 10 math educators light up the room with fresh ideas in teaching and learning.  Each speaker gets five minutes, using 20 slides that auto­ advance every 15 seconds­ whether they're ready or not.

Middle school geometry will be taught by using an inexpensive manipulative - paper! Through paper-folding activities, using both regular paper and patty paper, many of the middle school geometry topics, and much of the vocabulary, will be shown. Come learn some new ways to teach geometry to your students.